diff --git "a/data/dm_maths/full_data_1/1999_11255.jsonl" "b/data/dm_maths/full_data_1/1999_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1999_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d(o) = 7*o**2 - 2*o. Let r be d(-2). Suppose -80 = 5*y - 2*s, 5*y + 18 = -4*s - r. Let a = y + 22. What is the highest common factor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4320458, -8640915, -12961372?\n\"Answer: -4320457*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*1536\/3328.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 9*r + 2. Let v be f(-9). Suppose h - 16 = v*b, 5*b = -3*h + 75 - 5. What is the lowest common multiple of h and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -101, -457, -1067, -1943, -3097, -4541, -6287, -8347?\n\"Answer: -2*u**3 - 115*u**2 + 3*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2630117 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -791768, -0.7 in ascending order.\nAnswer: -791768, -0.7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-24)\/(2 + 6). Solve -2*j + 5 = -a, -5*a - 26 = f*j - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1510 (base 8) to base 13.\nAnswer: -4c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1401515 to the power of 1\/2, to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 259988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1418929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from vvvvvovvvvoovvvv.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -426*c*j**2 - 6195*c*j + 166*c + 67*j**2 wrt j.\nAnswer: -852*c + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47460341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6218145.\nAnswer: 3, 5, 138181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3008 by -164.\nAnswer: 752\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 10 = -4*m - 4*c, -3*m - 29 = 2*c. Let u(j) = j**2 + 7*j. What is u(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3674904 and 2280?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (20 + -5 - 17)) + (22 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -656 divided by 95.\nAnswer: -656\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 8) in base 2?\nAnswer: -1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -528\/8171? (a) -0.3 (b) 3 (c) -0.15 (d) 0.4 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 9*z**2 + 3*z + 131. Let y be r(-10). Suppose -3*q - 12 = -6*q. Which is the second biggest value? (a) y (b) q (c) 169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25380\/49 + -518. Let z be (36\/2646)\/(2\/36). Let v = c - z. Is v equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -8. Let r be -2 + 6 + (-5 - (-8 - -5)). Let w(n) = 1 - 7*n**r - 6*n**2 + 3*n**2 + 4*n - 3*n. Give w(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1452 equal to 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -v - 46, 0 = -3*v + 23*n - 20*n - 126. Let x(r) = r**3 + r**2 - r + 1. Let k(d) = -20*d**3 - 40*d**2 + 40*d - 40. Give v*x(z) - k(z).\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 13*b + 4. Let j be (-1560)\/(-16) - b\/4. What are the prime factors of j\/((-2)\/(-13) + 144\/416)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130264666 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000135224784 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 4*w - 23. Let i(t) = t + 8. Let b(m) = -8*i(m) - 3*y(m). Let k(d) = -d**2 - d - 1. What is -b(p) - 4*k(p)?\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozo when three letters picked without replacement from ozzozzozzzzz.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 6, 53 in decreasing order.\nAnswer: 53, 6, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 707982*p + 707982*p + 160. Let b(o) = -11*o**2. Determine l(b(a)).\nAnswer: 121*a**4 + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1. Let b(c) be the first derivative of c**2 - 8502. Let v(k) = -k + 6. Let f be v(5). Calculate f*b(l) - t(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (-17 - -11) - (-22 - -62 - 74).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -3 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*z - 75. Suppose 102 = f - z. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 3. Let g(b) = 1. Let a(m) = 10*g(m) + 2*l(m). Let f be -5 + (-18)\/(-6) + -1. Give a(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 5*c**2 - c - 3. Does 11 divide x(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 34*y**2 - 194*y - 587. What is the remainder when x(-3) is divided by 165?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1212\/(-16) + (-2)\/8 - -2. Does 22 divide (b + -3)\/(6\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/2)*u)\/(u\/u**13))\/(u**(-9\/7)*u*u\/(u\/((u**0\/u)\/u))*u*u) assuming u is positive.\nAnswer: u**(207\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, x: 5, v: 2}. What is prob of picking 2 p and 2 v?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53463 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**3 - 2*v**2 - 5*v. Suppose 0 = -3*g - r + 8, 3*g + r = 4*g. Let k(i) = -21*i**3 + 15*i**2 + 36*i. Determine g*k(a) + 15*o(a).\nAnswer: 3*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2) + 1)*(-1952)\/(-366). Suppose -10*o = -14*o + t. Solve 8 + o = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 596, 901, 1224, 1571, 1948, 2361?\nAnswer: 2816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 903 - 910. Let q(m) = -5*m - 2. Let s be q(-6). Let k = w + s. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**7\/105 - a**5\/5 - a**2\/2 - 3*a. Let u(p) be the first derivative of q(p). What is the third derivative of u(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-2 - (-12 - -5)) - (-2784)\/96?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 17*p - 4. What is the tens digit of v(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*q - 62*q = -4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10210 and 185580.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -4\/5*g**5 + 3*g**4 - 4\/3*g**3 - 6*g**2 + 7 + 8*g. Suppose k(u) = 0. Calculate u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 0*v - 2 - 4*v + v. Let i(s) = 2*s + 3. Suppose 0 = -2*b - 10, -g - 4*b - 10 = 4*g. What is g*i(c) + 3*k(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 110. Let y be j(50). Solve 36 = -2*t - y*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.5523 - 0.4957. Let f = -0.048 - o. Let s = -4550 - -4549.8. What is the nearest to s in 3, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((510\/(-150))\/((-6)\/(-10)))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548985998?\nAnswer: 2, 13, 98037923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t + 5*o + 70 = 0, -35 = -3*t - 4*o. Suppose -12 = -t*a + 14. Let g(p) = 20*p**3 - 4*p**2 + 9*p + 2. What is the tens digit of g(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00675707013 rounded to four decimal places?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 353334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m - 15. Let c be z(-15). Suppose -5*r - p + c = 0, 2*r = -p + 3 + 12. Calculate the remainder when 16 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158596209 - 2.82914.\nAnswer: -158596211.82914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -83*m - 627. Let c be v(-9). Let w be (32\/(-3))\/(24\/(-108)). Calculate the greatest common factor of w and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2930, -2931, -2932, -2933?\nAnswer: -2934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 4:45 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1219.013211 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 8*b**2 + 3*b - 1. Is 9 a factor of g(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67030, 67030, 67032, 67036?\nAnswer: 67042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 17 = 2*q, -3*q + 38 = q + 2*o. Suppose -4*z - 14 = 2*s, 5*s + 3*z = 6*z - q. Let g = -1.6 - -1.6. Which is the nearest to -2? (a) g (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 - -90. Solve 0 = -4*z + g - 6, a*z + 0*g - 2 = -3*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744 < 3602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4727 + -2594. Let h = -1442 + m. Suppose -b = -5*n + h, -2*b - 101 - 30 = -n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*u - 6*u. Let s = -6 - u. Suppose s*h = 1 + 59. 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 -v + q + 43 = 0, 2*v - 5*v + 5*q = -119. Let s be 2*(1 + (-13 - 2)). Let o = s + v. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -3 + 3\/2*h**2 + 5*h - 1\/3*h**3. Determine s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 561 and 5177847114.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*f - 245 + 245 as d*f + w and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -172, 0 in descending order.\nAnswer: 5, 0, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -261, -244, -219, -186, -145, -96?\n\"Answer: 4*q**2 + 5*q - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7098 and 3654.\nAnswer: 617526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + 53?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 5*v + 7. Let q(x) = -2*x**2 + 4*x + 6. Calculate -4*q(h) + 3*u(h).\nAnswer: 2*h**2 - h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c = -c - 3*c + 62244. Calculate the remainder when c is divided by 100.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -299 + 946. What is the remainder when w is divided by 161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(630)\/(sqrt(10) - -3*sqrt(10)) - sqrt(63))\/(-3*sqrt(1296)).\nAnswer: -3 + sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*g + 2, 5*c - 5*g - 4 = 1. Suppose c*u + 4*b - 1 = 0, u + 4*b + 5 + 0 = 0. What is the remainder when 5 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -i + 1320005, 0 = h + 3*i - 7*i + 330020. What is h rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 431 + -308. List the prime factors of y.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 504.000000852 + -504. Round n to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 14 = -14. Let r be (72\/(-16))\/((-10)\/(-15)). Is n not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*2 + 7\/(-7). Let j = 14 + i. Let z be ((-12)\/(-10))\/(2\/j). Sort 5, z, -1 in decreasing order.\nAnswer: 5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0 - 21. Determine w, given that 37 + 10*w**4 + 9*w + 40*w**4 + a*w + 42*w**2 - 45 - 100*w**3 = 0.\nAnswer: -2\/5, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzh when three letters picked without replacement from {h: 3, z: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5436455.5 days?\nAnswer: 776636.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 10010010120112221?\nAnswer: -10010010120112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (618*g**3 - 288*g**3 - 293*g**3)*(g + g - 3*g)*(1 - 3 + 4)*(-3*g + 4 - 4).\nAnswer: 222*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (11 - 16 - (-3 + -8))) + -41?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(8\/6 + -2). Suppose 2*n - 3*n = -u. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, m: 1}. Give prob of picking 2 q and 1 m.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 41 + 18*t - 16*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*2\/(-12)*321. Let z = s - -967\/9. Factor z*o + 0 - 2\/3*o**2 - 10\/9*o**3.\nAnswer: -2*o*(o + 1)*(5*o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -680, -1359, -2024, -2669, -3288, -3875, -4424, -4929?\nAnswer: -5384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -626 divided by -2\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.54021 rounded to three dps?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0231 * -0.3.\nAnswer: -0.00693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2069412 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-18) + 38\/3. Suppose 0 = 3*a - l - 3. Solve 2*d + a*z - 1 = 0, 0 = 2*d - 0*d - 5*z - 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, -4, -5, 5, -48, 2 in ascending order.\nAnswer: -48, -5, -4, 2, 5, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p + 4*p - 15*p + 5*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p**6*p)\/p))*p)\/p**(2\/9)*p**(4\/11)*p**(2\/19) assuming p is positive.\nAnswer: p**(13631\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-350)\/(-85) + (-8)\/68. Solve -5*p + 35 = -r*v, -v = 3 + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, z: 6, d: 4}. What is prob of sequence ppp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 5, -2.\nAnswer: -9, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 63 + 79. Let p(r) = -4*r**2 - 3*r - 2. Determine p(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 20*n + 41. Let h be u(23). Are -1 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -20*l**2 - 5*l - 5. Let u(x) = 1 - 4*x + 7 - 9 - 3 - 15*x**2. Let a(s) = -4*p(s) + 5*u(s). Let o(y) = -3*y - 1. Give a(o(v)).\nAnswer: 45*v**2 + 30*v + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 83598300 to the nearest 100000.\nAnswer: 83600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 20718400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aauau.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2620420*f**2*i**3 + 211054*f**2*i**2 - 3*f*i**2 wrt i?\nAnswer: 15722520*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1843*y**3 + 612*y**3 + 609*y**3 + 623*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -67, -85, -115, -163, -235, -337, -475?\n\"Answer: -t**3 - 11*t - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r + 3540. Round r to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -4. Suppose -4*k + 2*t + 1 = -3*k, 4*k - t - 18 = 0. Put -4, a, k in descending order.\nAnswer: k, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 350*o - 344. Let j be c(1). What is the greatest common factor of j and 768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -20*j**2 - 10*j - 1. Let d(z) = -10*z**2 - 5*z. Let t(q) = -9*d(q) + 4*m(q). Let u be (-2)\/3 + 14\/(-6). What is the units digit of t(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 - 30 - -10) + 11. Solve 4\/7*l**3 + 6\/7 - 5\/7*l - l**z = 0.\nAnswer: -1, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*m - 49 = -22*m + 30 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24312 is divided by 12123?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 6, 0, 4707?\nAnswer: 4707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 9*c**2 - 23*c - 9. Let d be x(-11). Let t(s) = 10*s**3 - 3*s - 1. What is the tens digit of t(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 34.22.\nAnswer: 17.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/(-15))\/(16\/66372) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j**5 - 2*j**2 - 3*j - 3. Let x(o) = -8*o**5 + 3*o**2 + 4*o + 4. Let z(n) = 4*g(n) + 3*x(n). Find the third derivative of z(w) wrt w.\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v. What is the biggest value in -3, 6, v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -351 - -616. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 2041?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2677.11056 rounded to one dp?\nAnswer: 2677.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416949?\nAnswer: 3, 13, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5 = -1. Suppose 1 + i = -o + 2*s, o - 5*s - 7 = 0. Let b be ((-35)\/28)\/(2\/o). Solve 0 = -5*y + b - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20020 (base 3) to base 15\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1, -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123949491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 2:26 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*o + 3 - 3 - 9*o.\nAnswer: 45*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 127.4, -0.08, 4\/7, 1\/9, -2\/7?\nAnswer: 127.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.767381 kilograms to grams.\nAnswer: 3767.381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -19*j**2. Let f be b(2). Let w = 377 - 236. Let l = w + f. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1 + 14 = 0. Suppose 2*f - 3*p - 4 = 3*f, -6 = 2*f + n*p. Let l(x) = x - 3. Let s be l(f). Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40210 is divided by 1904.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41209 by -14.\nAnswer: 5887\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438581760.\nAnswer: 2, 3, 5, 57107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -10127aa?\nAnswer: 10127ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44.168 - 5348.732. What is r rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 66133 in descending order.\nAnswer: 66133, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 1:59 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/480 and 37\/30.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6*(-27)\/(-6). Let a(b) = -2*b**2 + 0*b - 5 + d*b**2 + 2*b. Let t(u) = 1. Determine a(r) + 5*t(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 12*l + 4. Let x be c(12). Solve -x*t + 8 = 3*j, 3*t + j = -2 + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2971662, -2971650, -2971628, -2971590, -2971530, -2971442?\nAnswer: -2971320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-72)\/(-27)*(-3)\/(-2). Let s(z) = -4 - z**3 + 4*z**2 - 5 - 2*z + 7. Give s(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*3\/(-9))\/(12\/(-18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 7\/60*u**5 - 5\/24*u**4 - 1\/2*u**3 + 0 + 0*u + u**2 - 1\/120*u**6. Give z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1611063447.\nAnswer: 3, 7, 19, 193, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*g - 20, -4 = 4*k + 4*g - 24. Suppose -1113 = -2*t + l, 1671 = -k*t + 3*t - 2*l. Let a = t + -375. Is 36 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.113430555 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5683950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 4*h + 8, 91*h + 6 = 3*a + 88*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -238 + 238.000002268. Round k to 7 decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43833496547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, 3.9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*f = -36, -3*k + f - 44 = 3*f. What is the units digit of k\/5*(-3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1816684991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.3555285 months?\nAnswer: 0.00029627375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 5:05 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 7:55 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41 (b) -3\/2 (c) -2.4519 (d) -128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7551 divided by 2517?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(76) - (0 + sqrt(1900)) - -1*(sqrt(475) - (-2 + sqrt(475) + 5)).\nAnswer: -6*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i = 21*i + 100 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1635 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5969495 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + 1)*3 - (sqrt(1573) + -2)*5)**2 + (sqrt(2548) - 5*sqrt(1300)).\nAnswer: -608*sqrt(13) + 6461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -0.04, -52?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77153 - 14982. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3877 + -3872. Let p = -7 + -9. Let f = 20 + p. Calculate the remainder when u is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -577*h**2 + 578*h**2 - 2*h + 5 + 3*h + 100 to t + y*h + r*h**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5487407.124 rounded to the nearest 10000?\nAnswer: 5490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -882.5 at most -38057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 82, 158, 218, 256, 266?\n\"Answer: -l**3 - 2*l**2 + 89*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiciticcitivv. Give prob of picking 2 c and 2 t.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/22 and 33\/46.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p - 2. Let u be k(1). Let m = 6 + u. Let c(q) = -4*q + 4. Let z be c(m). Solve 2*l = -3*l - z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -295*l**3*q - 211*l**3 - 2*l**2 - 8*q + 8 wrt q.\nAnswer: -295*l**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**2. Let b(o) = -2804*o. Determine k(b(p)).\nAnswer: -39312080*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -498976.8 to the nearest 10000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15691 to 3 dps.\nAnswer: -0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 5*x + 0*x - 4*x**2 - 3*x - 3*x. Let q be c(-3). Let l(y) = -y**3 - 3*y**2 - y - 7. Does 17 divide l(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 809 - 406. Let f = v - 195. What is f rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35670322 (base 8) to base 7\nAnswer: -123351120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79269 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 381896987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**23*y*(((y*y**(1\/6)\/y)\/y)\/y)\/y*(y**(-8))**(1\/41) assuming y is positive.\nAnswer: y**(-5665\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1023, -2056, -3093, -4134?\n\"Answer: -2*t**2 - 1027*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -915, -2021, -3569, -5559?\nAnswer: -7991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1072*d*g**3 + 88*g**3 + g**2 wrt d?\nAnswer: 1072*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*x + 512 + 1720. Suppose -18 = x*y - 127*y. What is the smallest common multiple of 97 and y?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2088457 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334857332 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 745, 1402, 2059, 2710, 3349, 3970, 4567, 5134?\n\"Answer: -u**3 + 6*u**2 + 646*u + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 27*v**2 - 29*v + 26. Calculate u(28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(3 - 3 - 4*i) + 145*i - 52*i - 39*i.\nAnswer: 58*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f + 110*f - 403 = 35. Let x be (-13)\/3 - (-1)\/3. Calculate the lowest common multiple of 7\/2 + 2\/x and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68867515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -6986 - -7037. Which is smaller: 67 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/6*(-294)\/196?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32171608927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 14*k + 98. Let g(h) = 15*h + 112. Let n(l) = -7*g(l) + 8*t(l). Let j(s) = 153*s**2. Give n(j(d)).\nAnswer: 1071*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 4 - 4*v + 2)*(4*v**2 - 8*v**2 - 6*v**2).\nAnswer: 10*v**3 + 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {o: 4, y: 3, s: 6, g: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -s, -34*s + 37*s - 28 = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 42*m - 37 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2, -1\/40.\nAnswer: -23, -1\/40, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 81519648*h**2 - 2*h**3 - 3*h**3 - 81518721*h**2 to r*h**3 + x*h**2 + k + z*h and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*f = -166*f - 5*j + 3506, -5254 = -3*f - 5*j. Is 47 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + z = -0*z - 65, -3*z = 4*o - 71. What is the smallest common multiple of (21 - 1) + 0 + 2 and o?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-1885))\/(22\/(-264)*(-4)\/(-5))?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 0 - 2*z + 4 + 0. Let j(o) = -4*o + 7. Let u(n) = -7*h(n) + 4*j(n). Let k(a) = -4251*a + 8482*a - 4241*a. Give u(k(q)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*q + 11*q + 12. Suppose 0*j - q = -6*j. What is the first derivative of 258 + 7*u**2 - j*u**2 - 273 wrt u?\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1280 divide 1141735828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 160, 137, 114, 91, 68?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**4 - 8*j**2 + 6. Let f(u) = u**4 - 3*u**2 + 2. Let g(s) = -8*f(s) + 3*p(s). Find the first derivative of g(n) wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6011.\nAnswer: 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -223*i**6\/15 - 1273*i**3\/6 + 4*i - 339. Find the second derivative of n(b) wrt b.\nAnswer: -5352*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 7*m - 5. Let p = 5 - 0. Let f be g(p). Suppose 5*b - f*h = 30, 2*h - 4*h - 2 = 0. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*501\nAnswer: 200.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/15 - 34*w\/3 - 172\/15.\nAnswer: 2*(w - 86)*(w + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**4 + 12*f**3 + 26*f**2 + 24*f + 8 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -373*w + 372*w. Let d = -5 - -11. Suppose -18 = 3*n - d. Are n and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107\/2 + -55. Let h = 28.8 - -9.2. Let j = -37 + h. What is the nearest to d in 3, -1\/2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 a, and 1 o when three letters picked without replacement from ojjaqohojahoqaoao?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2\/5 - 556*w\/5 + 5824 = 0.\nAnswer: 70, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.026598 + 0.02661. Let o = 24 - 11. Let s = n + o. Round s to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-15*141\/470).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0*q)**43)**(-44)\/((q\/(q*q*q**(-1)*q))**(-4)\/(q**(-1\/13)*q**(3\/7))) assuming q is positive.\nAnswer: q**(-172504\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 13520039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n**3*s**3 - 124*n**3 + 782*n**2*s**3 + 63*n*s**3 - 93*n*s**2 - n*s + 2*n + 39*s**3 + 17 wrt n.\nAnswer: 36*n*s**3 - 744*n + 1564*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -118*s + 22. What is d(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -15, -34, -61?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76, -151, -226, -301?\n\"Answer: -75*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10.6*-114.84\nAnswer: 1217.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 37\/3*3 - -2. Let b be (-1)\/12*(-104)\/l. What is the nearest to 0 in 1\/8, -1\/2, b?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 11*a**2 + 3*a + 3. Calculate the remainder when q(12) is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + a + 3*a - 18 = 0, -5*a + 23 = 3*h. Let i(k) = 15 - h - 25 + 11 + 139*k**2. Let z(f) = -2*f. Determine z(i(x)).\nAnswer: -278*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 3*k**2 + 80*k - 282. Calculate g(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1. Let n(x) = -x - 6. Let v(g) = -g - 5. Let a(k) = 5*n(k) - 6*v(k). What is -a(s) + m(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 21 = -2*l, 3*l - 2*l - 22 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/19))\/(m**4*m*m*m))\/(m**1\/m**4) assuming m is positive.\nAnswer: m**(-59\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 75?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*h - 2. Let l = 6 + h. Solve -l*s = -7*s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/2, 6888, 7, 0.3, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, j: 2, q: 2}. What is prob of picking 2 j and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10060 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44333101, -44333099, -44333097, -44333095, -44333093?\nAnswer: -44333091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267699 to the power of 1\/2, to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54866297*o**4 - 283125955.\nAnswer: -219465188*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and -479.\nAnswer: 9580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 409, 411, 409, 403, 393?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 115*x**2 + 98*x + 2090. Determine d(116).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 7*x**2 + 6*x - 6. Let a be s(6). Do -9 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:27 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1512*d - 1522*d - 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/8 and -27\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19 times 2352\nAnswer: -44688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 6*w**6 + w**5\/4 + 1359*w**2 - 5*w + 25. What is the first derivative of x(y) wrt y?\nAnswer: 720*y**3 + 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296062 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2268838 < -2268838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 - 1. Let w be a(-1). Let v be ((-2)\/w)\/(1\/(-6)). Suppose -170 = -2*f - v*f. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*q - 5 = 7, -3*m = q - 7. Let h be ((-114)\/(-12) - 7)*(m + 0). Solve 4*n + 1 + 6 = -h*d, 0 = -3*d - 5*n + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 21*v**2 + 2*v - 1. What is the units digit of s(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3825*z - 41998. Calculate y(11).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -742\/99 - -74\/9. Let d(s) be the first derivative of 20\/11*s**2 - g*s + 2 - 50\/33*s**3. Let d(v) = 0. Calculate v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*12\/40)\/((-5)\/(-25)). Let i be -4 + 3 + (-9)\/(-3). Solve i*v + h*v - 10 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.22836 and 1070.\nAnswer: 1069.77164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 4*j**6\/255 - j**5\/10 + 10*j**4\/51 - 4*j**3\/51 - 4*j. Factor p(y).\nAnswer: 2*y*(y - 2)**2*(4*y - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -123 + -5?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 0 + 0)*(3*v**2 + v**2 - 5*v**2)*(0*v - 2*v + v) + 16*v**5 - v + v.\nAnswer: 13*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) 0.08 (c) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -699566 (base 10) to base 12.\nAnswer: -298a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o - 35. Let q be r(-14). Let g(f) = -8*f - 13*f - q*f + 24*f. Let x(s) = 3*s + 5. Calculate g(x(v)).\nAnswer: -12*v - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13450000 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -16. Determine m, given that -6 + 6 + t*m + m**2 - 7*m**5 - 11*m**3 + 19*m**4 - 4*m**3 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13937*m - 496720 = -284841 + 1335128 for m.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.013 and -1.\nAnswer: -7.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a day in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13533 or 11646?\nAnswer: 11646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 60. Let l be c(29). Let o be ((-24)\/(-100))\/(l\/5*1). Is o greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(304) + 5 + (-1*sqrt(304) - sqrt(304)) - sqrt(304))) + -3.\nAnswer: -32*sqrt(19) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h - 25443 = -28*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -12, -27 - 1 = -f - 5*x. Let q be 2\/(-5) + 70\/175. Suppose q = -f*w - w + 4365. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1774324 and 4304.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 491548219 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 0. Let t = f + -3. Suppose -t*a + 123 = -g, 5*a = -g - 4 + 201. Calculate the highest common factor of a and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 4*w - w + (-6 + 0 + 3)*(2*w + 2*w - 6*w) + w + 0 + 0)*(-2 + 2 - 2) - 1 + w + 1 in the form q + u*w and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 120566 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -3245 and -3245 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*n - 439. Let l(v) = 3*v**3 - v**2. What is the remainder when n is divided by l(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64 - -61)*((-4)\/342)\/2.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y - 3*y - 11*y**2 + 3*y + 3*y - 2*y + 2 - 8*y**4 as v*y**3 + i + k*y**4 + m*y**2 + z*y and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 25, 88 in ascending order.\nAnswer: -5, 25, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 613.3 + -613.299999011. What is d rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079 - -1044?\nAnswer: 1044.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - t - 1. Let i be u(-1). Let m(z) be the third derivative of -1\/3*z**3 + 0*z - 1\/12*z**4 - z**i + 0. Find the first derivative of m(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 36, 4, 6, 5, 7 in ascending order.\nAnswer: 4, 5, 6, 7, 18, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 79078208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/72 and 53\/96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 10499 = 5*g - 36937, 15872 = 3*g + s. What are the prime factors of g?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -52*u - 7656. Give m(-145).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30072 divided by 42?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6335575 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 2*r - 33. Let n be d(-5). Solve i = 4*a - 3, -3*i + 4*a = n*i - 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9336659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.2919478?\nAnswer: -0.5838956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0619109022 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = -3*j + 6*k + 990, -4*j = 5*k - 1319. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 33\/9)*-3. Let p be (6\/4)\/((-2)\/(-4)). Suppose 0*t = -3*w + p*t - 3, 4 = -3*w + 4*t. Solve -a = w, 4 = 2*j + a - c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 8*c. Let g(z) = -z**2 + 1. Let x(h) = a(h) + 2*g(h). What are the prime factors of x(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2348 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l. Let t(r) = r. Let g(w) = 3*t(w) + y(w). Let u(n) = 7*n - 40. Let b be u(6). Let p(v) = -6*v**b + 2*v**2 + 2*v**2. What is g(p(h))?\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3700 divided by 4\nAnswer: -925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1240 - -1362. Calculate the greatest common divisor of b and 1037.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122129161 to the power of 1\/2, to the nearest integer?\nAnswer: 46067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 593.5907m in centimeters?\nAnswer: 59359.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 5*g - k - 18, 0 = -4*g + 2*k + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17755713, -35511429, -53267145, -71022861, -88778577, -106534293?\n\"Answer: -17755716*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*n + 35 = 0. Suppose 38*a - 29 = -5*j + 35*a, -j - a = -n. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**2 + 125*l = 0. Calculate l.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55240\/9 - 6144. Suppose 167 = -4*x + 5*l - 4, 0 = -x + 2*l - 39. Calculate the common denominator of x and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1393 + -203377\/146. Is v > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3035, 726, -3111, -8470, -15345?\nAnswer: -23730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 67 - 24 + 13 - k. Is h(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 1167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7bb10 - -2?\nAnswer: -7bb0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 8*t + 25 = -3*t, 3*t = 5*z + 35. Let s = z - -18. Suppose -5 + 0 = -4*v + f, 3*v = 5*f + s. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 25, -5\/8, -0.2, -19?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 1:32 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -24*g - 2. Let b(a) = a**3 - 4*a**2 - 3*a - 12. Let z be b(5). Let t be q(z). Calculate the greatest common factor of 506 and t.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 8\/129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 - 236 = 4*r. Let a(f) be the third derivative of -4*f**r - 1\/105*f**5 + 1\/14*f**4 + 0 + 0*f - 4\/21*f**3. Determine x so that a(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 26\/159, 1, 3\/8, -0.4 in descending order.\nAnswer: 1, 3\/8, 26\/159, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1676 by -48.\nAnswer: -419\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -67 - -11?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 203 = -30*s + 52. Which is the closest to -1? (a) -0.5 (b) -14 (c) s (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - r)*(0 - 2*r + 0) - 9*r**2 - 3*r**2 + 9*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 (base 16) in base 9?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*l + 9*l - 2*l + (-l + 0*l + 3*l)*(4 + 0 + 0).\nAnswer: 37*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 take away -166431308.4?\nAnswer: 166431237.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p**4 + 586615*p**3 - 1319975*p**2 + 293330*p = 0. Calculate p.\nAnswer: -29333, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(1\/50)*p**25*(p\/p**(-2\/3))**(4\/11))**(18\/7) assuming p is positive.\nAnswer: p**(136749\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 39*h + 781603 = -12*h. List the prime factors of h.\nAnswer: 19, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*v = -13, -3*n = -2*v - 12 + 1. Suppose -u - 2*r = -406, -2*r + n*r + 1579 = 4*u. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623.552 days to hours.\nAnswer: 14965.248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 (base 6) in base 8?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13\/222 - -4\/37. Let l(q) be the second derivative of -c*q**4 - 4*q**2 - 4\/3*q**3 + 3*q + 0. Factor l(p).\nAnswer: -2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 52, 42, 16, -32, -108, -218, -368?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8726*q**2 + 6*q**3 + 2829*q**2 + 2962*q**2 + 2935*q**2.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/30 - (-46)\/10. Suppose -i = -0*l - l. Solve -5*d + 2*d + 3 = 3*w, -2*d - l = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -955, -3843, -8863, -16219, -26115, -38755?\n\"Answer: -34*g**3 - 862*g**2 - 64*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**5 - 16*w**4\/3 + 31*w**3\/3 + 10*w**2 - 44*w\/3 + 8\/3 = 0.\nAnswer: -2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 + 10*h**2 - 8*h - 8. What is v(3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(68) + 1 + 3 + -1))**2.\nAnswer: 48*sqrt(17) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/112)\/((-12)\/192) - -9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*n - 15*n - 15*n + 100*n - 14*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-182)\/21 + (-13)\/(-39) + 1\/3. Sort z, -19, -2 in ascending order.\nAnswer: -19, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 10*k - 8*k - 3*k + 9*k - 1 - 9*k. Calculate v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (50\/(-20))\/(-1*(-2)\/(-56)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/(3\/576). Suppose -3*z + 4*a + u = 10, -3*z = -5*a - 91. What is the first derivative of 5*g**2 - 4*g**2 - z*g**2 - 4 + 20 wrt g?\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-12)*(-4)\/(-1). Let z = -5 - d. Solve -z*r = 5*j - 2, 2*r + 4 = -r - 4*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/20*(-20)\/12. Suppose l = 4*l + 6. What is the third smallest value in a, l, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.2 (b) 6.1 (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -440 + 440.000001284. What is u rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/4)*f**(-1\/3)*f**(-1)\/f**(4\/3) assuming f is positive.\nAnswer: f**(-35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6723*q + 6745*q = 2326522. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -2048278703\nAnswer: 2048278699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7913523 and 3.\nAnswer: -23740569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - d**2 + d + 2. Suppose 0*y = 7*y + y. Let l be t(y). Let b be (0\/l - -1)*41. Calculate the greatest common divisor of b and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*9 + (1078\/(-4851) - 112\/(-18))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - 980*c**3 - 2 + 285*c**2 - 52*c**2 + 3485*c**3 wrt c?\nAnswer: 15030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f**3 - 2*f**3 + 2*f**3)*(-4*f + 2*f + 4*f)*(2 + 3 - 3) in the form s*f + z*f**2 + h*f**4 + b*f**3 + a and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 50?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:22 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6053 + 2019 - 4*k + 2015 + 0*k + 2015.\nAnswer: -4*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*f - 243*f - 5*f**2 + 160*f.\nAnswer: -5*f**2 + 33*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*3*5)\/sqrt(12).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -121. Calculate the remainder when z is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 56.6. What is the smallest value in -1, 1\/3, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 1, r: 1}. Give prob of sequence xlr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 21 + 7 + -7 + 0 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/((8 + -3)\/110). Is (-5 + g)*48\/7 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five eighths of a microgram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*n + 242, -i = -2*n - n - 51. What is the highest common divisor of i and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16371351 - 10?\nAnswer: 16371341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/239 + 725\/956. Which is the closest to -6? (a) 0.2 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 15*j + 12)*(-3 + 2 + 0)*(j + 4*j - 3*j)*(-j**2 + 0*j**2 + j + 0*j**2).\nAnswer: 30*j**4 - 30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 3*c**2 + 8*c + 13. Let w be g(5). Suppose w*p = 14*p - 22. Are p and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -1772030?\nAnswer: -1772040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 20547*p + 174*p**2 + 20544*p + 1.\nAnswer: 174*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 293. Suppose 14*v - 24*v + 60 = 0. Is (3\/v)\/(2\/l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 v when three letters picked without replacement from lvvvvvvllvvvvvlvvl.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29, -62, -97, -134?\n\"Answer: -u**2 - 30*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -38. Let i = l - -6. Let m = 63 - i. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -850496705 less than -850496706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.387143 times -0.2?\nAnswer: -0.0774286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -274 + 86. List the prime factors of (-2 + d)*3\/(-6).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9*x**2 + 2*x + 1. Let l be ((-5462)\/3)\/(10\/15). Let p = -24607\/9 - l. Find the common denominator of n(2) and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 101559.1g?\nAnswer: 101559100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + n - 807, 314 = 2*t + 5*n - 9*n. Calculate the greatest common divisor of 989 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/8)*u)\/u*u*u**(6\/5) assuming u is positive.\nAnswer: u**(103\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1091, -10260, -36235, -87764, -173595, -302476, -483155?\nAnswer: -724380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 7*s - 5. Let m be c(7). Let j = m - -8. Let g(t) = -j*t + 2*t - t + t. Let d(y) = -2*y. Determine g(d(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484\/4*(6 - 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60904533 is divided by 3574?\nAnswer: 3573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4201098 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29.38096 litres?\nAnswer: 29380.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -103*i**2 - 9*i - 3. Let n(d) = -309*d**2 - 24*d - 8. Let t(u) = -8*a(u) + 3*n(u). Let h(l) = 3*l. What is t(h(b))?\nAnswer: -927*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20141788 * 5\nAnswer: 100708940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2253, -2240, -2217, -2184, -2141, -2088?\nAnswer: -2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 159 divided by -53\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.01 (b) 3 (c) 2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -348a - 1?\nAnswer: -348b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/11 + 1599814*i\/11 + 639851208649\/11 = 0. What is i?\nAnswer: -799907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 - 65. Suppose 0 = 5*g - 317 + a. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37762?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -3142335?\nAnswer: 3142343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*d = 43*d - 1708. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2363\/5481 + -2\/783. Let p(n) be the first derivative of n**4\/4 - 2*n**3 - 7*n**2\/2 - 5*n + 2. Let a be p(7). Sort l, 0.2, a.\nAnswer: a, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 5*u**2 + 8*u - 2. List the prime factors of l(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:44 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -5*q + 588 - 615, 0 = -3*q - 5*u - 47 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 112, 134, 156, 178, 200?\n\"Answer: 22*y + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39150, 78311, 117476, 156639, 195794, 234935, 274056?\nAnswer: 313151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -50. Solve -3*s = -n + 5, -4*s + h*n - 6 = -0*n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 4*b = -32, -94 = -5*b - 134 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -85, -133, -195, -277, -385, -525?\n\"Answer: -p**3 - p**2 - 38*p - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -230*s**3 - 2*s - 60.\nAnswer: -1380*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 891 a factor of 18686943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 3.2. Let x = -0.8 - o. Which is the closest to -2? (a) 0.1 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -774*q**2 + q + 9. Let r(h) = h**2. Determine a(r(m)).\nAnswer: -774*m**4 + m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9 (b) 2.3 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4972.\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 14131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*(-2 + (sqrt(833) - (sqrt(833) + sqrt(833)*-2)) - (sqrt(833) + sqrt(833) + 5 + 1*sqrt(833)))*3)**2.\nAnswer: 3528*sqrt(17) + 31752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p - 188 + 52 = 271 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3\/2 + 1015*i**2\/2 - 3675*i.\nAnswer: 5*i*(i - 7)*(i + 210)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 10 = 14. Suppose -4*w - 5*b = 13, 0 = -w - 2*b - 3 - x. Solve 3*q + 23 = 2*i, 2*q - 5 = w*i - 27 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5, 4*q - 2*a = 67 - 329. Let h = q - -98. Suppose 5*d - 7 - h = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 212, 211, 210?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 46, 110, 200?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4*j - 16, -54*j - 3*l - 18 = -50*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + (-15 - -19 - 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/37807 and -39\/319.\nAnswer: 1096403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5997 divided by 3\nAnswer: -1999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (324 + 106*z**2 - 324)*(5*z**2 - 2*z**2 - 2*z**2)*(0 + 3 - 1).\nAnswer: 212*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - -1*sqrt(136))*6 - sqrt(136)*-2*-6)\/(-3*(sqrt(968) + sqrt(968)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 6*o**2 - 2*o + 6. Let t be q(4). Let b = -30 - t. Solve -3*z - 5*s = -6, 2*z + 6*s - b = s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98144842516 + 4750?\nAnswer: 98144847266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185528\/99 + -1874. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-76)\/(-28) - 8\/(-28). Solve -4*w - 3*i = -11, 0 = -3*w + 4*w + i - f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 56048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.3 (c) 0.1 (d) 1 (e) -227\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**3 - 43*f**3 - 2*f**2 + 5 + 26*f**3. Let g be k(-2). What is the greatest common factor of g and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 8999*k - 106 = -9004*k, 5*k = 3*a + 3*k + 159 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132242 - -113?\nAnswer: 132410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 3. Let y(q) be the second derivative of q**3\/3 - 2*q**2 + 298*q. Calculate -5*j(o) + 4*y(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206 by -1.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.03 + -0.03. Let x be ((-8)\/30)\/((-84)\/30). Let k = -60 + 61. Sort a, x, k in increasing order.\nAnswer: x, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/2 + 1 - 6. What is the second biggest value in 1\/2, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.49 + 12.29. Let l = 26\/23 + -1904\/1725. Which is the second smallest value? (a) d (b) l (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 16. Let v be q(-4). Let w(m) = -m**2 - 3*m + 3790000. Let c be w(v). Round c to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33003 + 99011\/3. Factor a*g**2 + 8\/3*g + 8\/3.\nAnswer: 2*(g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 - -150. Let t(i) = -3*i**2 + 6*i + 2. Let v(q) = 3*q**2 - 5*q - 2. What is u*t(m) + 7*v(m)?\nAnswer: 3*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 261*k + 9*k + 2 - 53*k.\nAnswer: -305*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Let l = w - 1. Let f(x) = -7*x**3 - x. Calculate f(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000045245 rounded to 6 decimal places?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - (38\/(-76) + 858\/(-4)). What is the greatest common divisor of 30414 and o?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2532657 divided by -29111?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -2 + -10 - 0) + (1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**6\/165 + 32*l**5\/55 - 136*l**4\/33 + 2520*l. Determine q so that f(q) = 0.\nAnswer: -68, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (104\/(-20))\/((-65)\/975) and 936.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9163 to the nearest 100.\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -582 take away -2424826?\nAnswer: 2424244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20453\/270 + 1141\/15. Find the common denominator of 2 + -178*(-4)\/(-144) and a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + (0 + (0 - 2))*-3. Let u = 4 + 1. Sort y, -5, u in increasing order.\nAnswer: -5, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v - 2. Let r be o(0). What is the hundreds digit of 17100\/24 + r\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473 + 73 = 40*d. Suppose 0 = 2*s + 2. What is the biggest value in s, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*n**2 + 8*n**3 + 270 - 4*n**4 - 270.\nAnswer: -4*n**2*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 - 281\/2. Sort u, -2, -3 in decreasing order.\nAnswer: -2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4781984 - -16381984. Suppose -3*b + b = v. What is b rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -200*i - 456. What is the thousands digit of j(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3 + 96*x**2\/5 - 10*x - 36\/5 = 0. Calculate x.\nAnswer: -2\/5, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 419952857?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173 + 179. Suppose p*h - 318 = 4*h. Calculate the greatest common divisor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1080)*-1)\/sqrt(6).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -91*x - 26. Suppose -7 = g + j, 7*j + 5 = g + 2*j. Let l(a) = -18*a - 5. Let v(z) = g*b(z) + 26*l(z). Let m(w) = 2*w + w - 6*w. Determine v(m(c)).\nAnswer: 39*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6118 and 9746618?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-9)\/240*2*1288\/322.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.85 + 3.8. Which is the smallest value? (a) -2\/15 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300310321 (base 4) to base 15.\nAnswer: 91de2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 7:51 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*f = 809*f - 354*f + 29376 for f.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/5 - 103*h\/5 + 26\/5.\nAnswer: -(h + 26)*(4*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158 and 2291?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**2 + 3687*l - 43812 = 0.\nAnswer: 12, 1217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*p + 319*p - 7455 = 13225 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13350 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 13*l**4\/12 - 29*l**3\/3 - 33*l**2. Let m be f(-6). Let d = 905 + m. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 - 156. Find the common denominator of (-184)\/42 - (-2)\/12 and 134\/(-40) - (k\/(-4))\/(-5).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2629\/1395 - 2\/465. Calculate the common denominator of t and -125\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -19*s + 26. List the prime factors of q(-6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -4 - -1) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3143748?\nAnswer: 2, 3, 53, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/5 (b) -0.08 (c) 0 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25 + -23 - 15 - -12. Let b be 3*4\/150*2. Is b >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -2*o**5\/15 - 3*o**3\/2 - 2*o**2. What is the first derivative of j(u) wrt u?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100100111000 - -100?\nAnswer: 111100100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**5\/5 + 11*i**2. Suppose 3*c - 4*c = -0*c. Let m(w) = -w - w + c*w. Give p(m(q)).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -4\/3 (c) -0.51 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9057 + 15182. Find the common denominator of 19\/96 and (v\/42)\/25 + 3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-578644\nAnswer: -2893220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o. Let i(p) be the third derivative of -7*p**4\/24 + 32*p**2. Calculate i(d(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 1180*w**2 - 52412*w - 1251676.\nAnswer: -4*(w - 233)*(w - 79)*(w + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/52 - -3\/13. Let b(x) be the first derivative of -2*x - 3 + d*x**4 + 0*x**2 + 0*x**3. What is the first derivative of b(i) wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*((-65)\/30)\/(-13))\/6\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 0)*(3*p + p - 5*p) + (-4 + 1 + 2)*(2*p - 1 + 1).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 0, 137, -0.04968?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 9.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-4) - 0)\/(38\/56088). Suppose -96*r + 2062 = 2*m - 100*r, 0 = -5*m - r + s. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.77 to the nearest integer.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -2 - (18 + -15). What is the second biggest value in 2, r, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-2 - -5) + 1. Let f be 4\/6 + j\/(-3). Solve 2*g + f*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/96 + i**3\/6 + 58*i + 25. Let z(t) be the first derivative of g(t). Determine x, given that z(x) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 2:02 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5246 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -122526 divided by -41?\nAnswer: 122526\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 20*a**2 - 2 - 2 - 1 - a + 0*a. Is l(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 35 = -57. Suppose -n*d = -18*d + 10. What is the hundreds digit of 5\/d - (-7140)\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22796 and 733364.\nAnswer: 30067924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2614, 2659, 2794, 3067, 3526, 4219, 5194, 6499?\n\"Answer: 8*a**3 - 3*a**2 - 2*a + 2611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*t**3 + a**2*t**2 + 4*a*t**3 - 5*t**3 + 9 wrt a.\nAnswer: 4*a*t**3 + 2*a*t**2 + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -143 - 5?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 7 (b) 28.172 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -284254471*o**3 + 153101648*o**2 wrt o.\nAnswer: -1705526826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 13*n - 6. Let s be (-247)\/(-39) - 2\/(-3). Is 28 a factor of b(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -9. Let k = 10 + -8. Calculate the remainder when j is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8163494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) -2.5 (b) -13 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 961842.739 - 961401. Let b = -442 + q. Round b to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 33 = -4*v, -3*x - 6 - 5 = v. Let j = 8 + v. What is the third derivative of 11*q**2 + 3*q + 8*q**5 - 3*q + j*q**5 wrt q?\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, 20, 104, 278, 572?\n\"Answer: 5*i**3 - 11*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792*o = -798*o - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(343) + sqrt(343) + 0 + (sqrt(343) - (sqrt(343) + -1)) + sqrt(343) - ((sqrt(343) - 1*sqrt(343)) + -5)) + -5)**2.\nAnswer: -84*sqrt(7) + 3091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31899 in 0, -0.2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*m + 44. Calculate the highest common factor of m and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (556\/(-834))\/(-2*1\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -267 (base 10) to base 3\nAnswer: -100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1525, 3259, 4995, 6733?\nAnswer: 8473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2932, -2916, -2890, -2854?\nAnswer: -2808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.032, 0.4, 0, 3\/5?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -151 - -66. Is -80 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 7) + -50 - 4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 520 + 541 = -4*x, -3*d + 4*x = -31 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1010?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 14*l - 5. Let t be (-3)\/(-2) + 19\/2. Is g(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -175*i**3 + i**2 - i + 1. Let a be s(1). Let t = 250 + a. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -500 - -499.8. What is the nearest to -1\/5 in o, -3\/2, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10\/11 and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 75643.1 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161749*n**3 + 2944*n**2 - 63 wrt n?\nAnswer: -970494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*y + 3 + y**4 - 2 - y**2 - 49*y as w*y**2 + j*y + k*y**4 + m + u*y**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-2)\/(-4)*-74. Let k = -18 - y. Suppose 2*m = -2*q + m + k, 5*q - 4*m = 54. Solve -q = 3*i - 8*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*y + 17, -7 = 3*p - 2*p - 4*y. Let z(i) = -1660*i - 11600. Let n be z(-7). Solve 3*m + m + 22 = 2*t, p*t - n = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3653, -3682, -3711?\nAnswer: -3740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/(-8 - (-539)\/66). Solve -4 = n, -2*b + 4*n = c*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -0*z + 13*z - 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*o = -4*o + 50, f - 23 = -4*o. Solve -f = 5*z - 36 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j + 129. Suppose 0 = w + 3*w - 24. Calculate the remainder when h(-17) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*o - o. Suppose -14 = -2*p + 2*v, o*p - 4*v + 62 = 9*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 117. Let u(f) = -5*f**2 - 19*f. What is q(u(o))?\nAnswer: -5*o**2 - 19*o + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(2\/((-8)\/2)). Solve p*l = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467972657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130314010 (base 5) to base 15.\nAnswer: 362005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3.76, -1.45, 6\/5, -2\/7?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gquqaaaaqaafq. What is prob of picking 1 u and 2 a?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + (-812)\/48)\/((-6)\/16).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 10*a**2 + 14*a - 27. What is h(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u. Let y(b) = -3*b**2 + u*b**2 + 4*b**2. Let h(o) = -5*o**2. Give y(h(z)).\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + 6)\/(2\/44). What is the smallest common multiple of 4\/h + (-1246)\/(-77) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112718 + -112713. Let f = -2 + 1. What is the closest to 0.1 in k, -13, -2\/13, f?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/154 and -24?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k + 5. Let p be j(0). Suppose -p*d - 658 = -7*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*t + 4205 = 325*t + 25383 + 28462 for t.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27192?\nAnswer: 2, 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 2*n, 4*b - n = -3. Let h be (b*21)\/(12\/80). What are the prime factors of (12\/(-10) - -1) + (-5768)\/h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40152 and 73389252.\nAnswer: 1027449528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 5*m**4\/6 + 19*m - 6. Let x(g) = -9*g - 10. Determine d(x(z)).\nAnswer: 810*z**2 + 1800*z + 1000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 11102310203?\nAnswer: -11102310213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3991097 to the power of 1\/2, to the nearest integer?\nAnswer: 1998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208628171?\nAnswer: 31, 113, 59557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12)\/((-1)\/((-6)\/16))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -32*h + 1220. Calculate the smallest common multiple of p(32) and 7.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 967464139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17246426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 95 - 13. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.26 and -1922485.\nAnswer: -1922484.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1371, -1379, -1379, -1365, -1331?\n\"Answer: x**3 - 2*x**2 - 9*x - 1361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 23*j + 92. Let u be z(5). Sort 0, 447, -4, u in descending order.\nAnswer: 447, u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 3*q**2 - 2*q. Let o = -8 - -10. Let n be m(o). Solve 0 = z - n*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 6919981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-15) - (4 + (-64)\/12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3*i - 6, 3*i = 3*b + 2*b - 6. Let g be -4 + (-56)\/(-13) + b. Is g at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 4*x**2 + 2*x + 5. Let s be v(4). Suppose 2*h + 5 + 4 = 5. Put 2, h, s, -5 in decreasing order.\nAnswer: s, 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 8*d**2 - 24*d - 129. What is a(-6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + u - 127 + 45 + 45 - 14*u**2.\nAnswer: -14*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x. Let t(o) be the second derivative of -o**3\/6 - 8*o. Give t(f(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 + 102. Suppose 4*d = -a + 5*a - 16, -5*a - 5*d = -x. Let i = a + -4. Calculate the remainder when 4 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w + 8*w**4 + 6*w + 2*w**3 - 3*w + 2 in the form y*w**3 + p*w + u*w**4 + r + x*w**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*b**2 - 16*b**2 + 3*b**2 - 7*b**3 - 49*b**2.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = z, 371*f - 1068*f + 360*f = 2*z - 363*f + 120 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4 + 153*h**3 - 794*h**2 + 927*h - 284 = 0 for h.\nAnswer: 1\/2, 1, 4, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 - -28 - -49) + -32.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 - 42. Let d = -29 + b. Suppose -g + d = 4*q + q, -g + q = -37. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1343 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + g**2 + g - 3*g**3 + 2 + g**3 + 2*g in the form f*g**3 + j + u*g**2 + d*g and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12358 - 12453. Which is the smallest value? (a) -1 (b) r (c) 1\/2 (d) 0.3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1 - (51 - 51)) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 - 3*a**2 - 9*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 39aa1 (base 11) to base 7\nAnswer: 325555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - i**2 + 5*i**2 - 3*i**2 + 0*i**2 + 1. Let v(n) = 3*n**2 - 4*n + 7. Let a(r) = -2*m(r) + v(r). List the prime factors of a(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*h + 2 - 0, 0 = -5*h - b + 12. Suppose 3*l - h*r = 205, 6*l - 281 = 2*l - 5*r. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbkukzlubbbuup. What is prob of sequence ub?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**36)\/(f*(f*f**(-5\/12)*f)\/f))**42 assuming f is positive.\nAnswer: f**(-2989\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 1:53 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 10) in base 6?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 85*j**4\/24 + 35*j**3\/6 + 16*j**2. Let n(l) = -5*l - 2. Let a(s) = -70*n(s) - 4*p(s). Let t(x) = 2*x. Give a(t(v)).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -1\/6 (b) 0 (c) 1 (d) -399\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 4*p + 21, -5*z + 7*p - 30 = 12*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56093740 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.42 - 0.402. Let o = -1.242 - y. What is o rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*b + 31 = 2, -17 = j - 3*b. Sort -3, 5, 2, j.\nAnswer: -3, j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291234.\nAnswer: 2, 7, 149, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 62, 120, 196, 290, 402?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 12) to base 3\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in -2\/11, 0, -6, 0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5699207315 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 12, 5*k = -5*i + 105 + 1420. What are the prime factors of k?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 572\/(-476) + 1 - 28\/(-196). Which is the second biggest value? (a) f (b) -0.1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54, -49, -44, -39?\n\"Answer: 5*w - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s - 21*s + 4*s - 1 + 8*s. Calculate m(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.038, -0.3, 2, -22 in descending order.\nAnswer: 4, 2, -0.038, -0.3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o. Let u(v) = -v**2 + 2*v + 9. Let i be u(4). Let b be p(i). What is the second derivative of 2*f**2 + b*f - 5*f**2 - 3*f**2 - 2*f wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 1 - 10 = -146*q, -5*q + 2*q - 3*q = -3*q + q for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i - 13. Let v(x) = -22. Let c(s) = 2. Let l(g) = -10*c(g) - v(g). Let n(h) = 4*l(h) + p(h). Let w(y) = 1. Calculate -n(b) - 3*w(b).\nAnswer: 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 62.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**3*u**5 + f**3*u**2 - 3*f*u**6 - 2*f*u**2 + 15 wrt u?\nAnswer: 180*f**3*u**2 - 360*f*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -150, -190, -246, -318, -406?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5856 - bbe?\nAnswer: 4b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 24*q - 21. Give m(6).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-66 - (-80 - -39)) - (44 + -1).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -10\/3, 0.4 in increasing order.\nAnswer: -10\/3, -3\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -4.1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -599079847*y**4 + 75710345*y**2 wrt y?\nAnswer: -14377916328*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 37, 65\/51, -0.5.\nAnswer: -0.5, 3\/7, 65\/51, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42, 238, 728, 1644, 3118, 5282, 8268?\n\"Answer: 22*b**3 + 15*b**2 - 3*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1\/7 (c) 3 (d) 0.06 (e) -0.4 (f) -292 (g) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -188 * 1\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 248443119 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36398*f**4 - 54*f - 8735242.\nAnswer: 145592*f**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40*-52*14\/(-910).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a + -7bbd?\nAnswer: -7c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, h: 12, x: 3}. Give prob of sequence xhh.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1588.1 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 9*n + 7*n - 5430, -k + 1362 = n. What are the prime factors of k?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0*x**3 + 0*x**7 - x**2 + 0*x + 1\/150*x**6 - 1\/840*x**8 + 0*x**5 + 0 - 1\/60*x**4. Factor g(w).\nAnswer: -2*w*(w - 1)**2*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 11729234*z.\nAnswer: z*(z + 11729234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**4\/4 - 435*p**3 + 119785*p**2\/4 - 48645*p\/2 - 354330 = 0. Calculate p.\nAnswer: -3, 4, 93, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h. Let u(d) be the first derivative of 3 + 0*d**2 + 0*d - 1\/3*d**3. What is b(u(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16143*f*l**2 + 4*f*l*u - 13*f*u**2 - l**2*u**2 - 2*u**2 + 52*u - 34 wrt l?\nAnswer: -32286*f*l + 4*f*u - 2*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0, -54, -24, -17, -20 in ascending order.\nAnswer: -54, -24, -20, -17, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n**5 + 10932*n**4 + 141372*n**3 - 7480268*n**2 - 9521388*n - 1910664 = 0. What is n?\nAnswer: -669, -34, -1, -1\/4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t + 10. Is i(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1485 + -1469. Calculate the remainder when 763 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -9, 4, 1, -177, 5, -4 in decreasing order.\nAnswer: 52, 5, 4, 1, -4, -9, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 815689728 by -6322.\nAnswer: -129024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 66? (a) -4 (b) 7 (c) 3\/2 (d) -3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**3*k - 41275*g**3 + 28947*k - 1 wrt g?\nAnswer: 3*g**2*k - 123825*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 22*t + 5*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.993?\nAnswer: 0.4965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + r + 21 = 2*q, 2*r = 3*q + 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2 + 588 + 84*l + 16*l**2 - 15*l**2 = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**3 - 4*i**2 - i. Let n(r) be the third derivative of r**6\/30 - r**5\/20 - r**4\/24 + r**2. Let x(b) = 4*n(b) - 3*u(b). Determine x(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10032 divided by 19\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*c - 1520 = -3*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 81315 = 2*p + p, 5*j = -5*p + 135565. Suppose -49809 = -5*h - t, -3*h + j = 4*t - 2790. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 0*j + 0*j)*(45 - 79 - 29 + 3*j) in the form y + a*j**2 + c*j and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 + 4*p\/7 - 16\/7.\nAnswer: 2*(p - 2)*(p + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/50 and -81\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + -1 + (sqrt(35) - 1*sqrt(35) - sqrt(35))\/sqrt(5)*-5)**2.\nAnswer: -120*sqrt(7) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-148)*(-739032)\/26145 - -4.\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 15) in base 7?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 38. Suppose -23*k = -24*k. What is the remainder when f(k) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532*m**3 + 35106*m**2\/11 + 52632*m\/11 - 54\/11 = 0. What is m?\nAnswer: -3, 3\/2926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2*n**2 - 514527758*n + 514527758*n + 2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 3*o**8\/1120 - o**5\/15 + o**4\/8 + 6*o**2. Let n(k) be the second derivative of m(k). Differentiate n(a) wrt a.\nAnswer: 54*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 2*r**2 + 7*r + 5. Let n be l(-4). What is the highest common factor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7102, -56899, -192050, -455227, -889102, -1536347, -2439634?\nAnswer: -3641635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109800 is divided by 828.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2523, -5, -6.5?\nAnswer: 2523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 2*m - 4*m**3 + 0*m + (-3*m - m + 2*m)*(-2*m**2 + 2*m**2 - m**2).\nAnswer: -2*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3242042261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01973 - -0.18027. Which is the closest to 0.01? (a) x (b) -4 (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614101781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 32. Put -1, 1, t in decreasing order.\nAnswer: 1, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-12)\/q*q**1)**(-48))**(34\/7) assuming q is positive.\nAnswer: q**(19584\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -223, -82\/9, -1\/8, -22 in decreasing order.\nAnswer: -1\/8, -3, -82\/9, -22, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*i - 5*t, 5*t - t + 8 = 0. Suppose i*d + 2*d + 42000 = 0. Round d to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -24*s**2 + 3*s. Let f(g) = 2*g. Determine a(f(p)).\nAnswer: -96*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from wbyyfwwwffwffwwqww?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-3) + 3 - -73. Suppose 4*t - r + 96 = 0, -t + r = 2*t + n. Round t to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/10 + (-24)\/(-10))*-20. Let h = t + 58. Let a(l) = -l. Let q be a(0). Solve -h*c - 2*g = -3*g + 3, 5*c + g + 4 = q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12733c (base 13) to base 7\nAnswer: -3530326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/2 of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*b - 31*b - 32*b + 137*b - 30*b + 11*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16358\/297 + 1864\/33. Calculate the common denominator of 5\/492 and r.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i + 3. Let d(c) = 23*c + 17. Let t(h) = -6*d(h) + 34*g(h). Let n(p) = -18*p. Determine t(n(k)).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*p**3 + 316*p**3 + 303*p**3.\nAnswer: 483*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t + 38*t - 50*t + 106 = w, 14 = t - 10*w for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/19)\/(j**(-5)\/j*j))\/((j*j*j\/j**8)\/j)**(-3\/13) assuming j is positive.\nAnswer: j**(906\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 160*q**2 + q + 2. Let o be l(-1). Let p = 170 - o. Solve 3*r + 15 = -4*c, -2*r - 2*c = r + p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 7. Let u be f(5). Let m(v) = v**3 + 9*v**2 - 2*v - 13. Let t be m(-9). Solve -4*o + 1 = u*z, 0 = t*z - 5*o + o - 23 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 3*y)*(-73*y - 70*y + 28*y)*(0 - 2 + 4).\nAnswer: -460*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 + 25*l + 3. Let m be w(6). Suppose 2*a - m*a = -546. Let y be 288\/11 + (-2)\/11. Calculate the highest common divisor of y and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -273 + 287. Let p be (1248\/1040)\/(n\/10 - 1). Suppose 2\/9 - 5\/9*c**p - 7\/9*c + c**2 + 1\/9*c**4 = 0. Calculate c.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-5\/7)\/d)\/d)**(-5\/16))**(-36) assuming d is positive.\nAnswer: d**(-855\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 2, l: 2, j: 10, b: 3}. What is prob of sequence jq?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.5 + -2. Let n(m) = m**2 + 10*m + 12. Let h be n(-6). Let s be 7\/((-21)\/(-2))*3\/h. Which is the third smallest value? (a) 0.2 (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/b**17)*b\/(b**(-1)\/b)*b*b**(-1\/16)\/b*b**(1\/3) assuming b is positive.\nAnswer: b**(973\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4 - 51*k**3 + 630*k**2 - 1812*k + 1560 = 0 for k.\nAnswer: -26, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*d**2 + 366644414*d - 146657764.\nAnswer: -2*(d - 36664441)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624941 is divided by 440?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 13*c + 3. Let h be t(13). Solve h*q = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 4.9. Suppose 5*a - 4*m + 2 - 3 = 0, -5*m - 11 = -3*a. What is the closest to 1 in a, v, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 972\/(-37179)*(-36)\/4.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*n + 2, -3*j + 5*n + 10 = -4. Calculate the least common multiple of j and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3522314 and 27038.\nAnswer: 2458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 + 0)*3\/6. Let r(a) = v + 2 - 1 + 5*a - 1. Let i(n) = 14*n + 14. Determine -3*i(g) + 8*r(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + n + 17, 0*f - n = 4*f - 15. Let r = -3 - 7. Let z = 23 + r. What is the remainder when z is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3333 - 300?\nAnswer: -10233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2761 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31328 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -18011 + 36077 - 14*d - 18010. What is o(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (9 - (2 + -4)) + (-322 - -217).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1 - 4*k - 2*k**2 - 1 + 4*k. Calculate n(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -358, -512, -666?\n\"Answer: -154*v - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -5 (c) 0 (d) 1.9 (e) -1 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**5\/20 - h**4\/6 - h**3\/6 - 2*h**2 + h. Let y be m(4). Let u = 3 + y. What is the highest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-324)\/(-30))\/((-389445)\/3115000 + 1\/8). What is r rounded to the nearest 1000?\nAnswer: -481000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 38*r**5\/21 - 13220*r**4\/21 + 59852*r**3\/3 + 161013616*r**2\/21 - 3757457194*r\/21 - 397305404\/21 = 0.\nAnswer: -97, -2\/19, 23, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agtygggta. What is prob of sequence gt?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 6 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(1\/2))**(-35))**(-39))**11)**(-11) assuming t is positive.\nAnswer: t**(-165165\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10716.\nAnswer: 2, 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 5*f**2 + 2*f**3 + 6 + 2*f**3 - 6*f - 3*f**3. Let c be x(5). What is the highest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(17)*2 + -3 + sqrt(17) + 0.\nAnswer: 1 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/5)\/((-4)\/10). Suppose 0*u = p*u - 9. Solve 2*q + u = q - l, -3*q + l - 13 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 433, 617, 801, 985, 1169, 1353?\nAnswer: 1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -7. Let c = k - 1. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*o - 197, -2*o - 72 = -p - 9. What is the remainder when p is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5281\/30 + 176. Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36958, -75298, -113638, -151978, -190318?\nAnswer: -228658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24638.11384 + -24639. Let r = -0.89 - x. What is r rounded to 4 dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4)*121\/(-2541))\/((-6)\/(-35))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 163008?\nAnswer: 163008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2821 = -23*l - 8617. Which is smaller: l or -253?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 17. Let v = 32 - q. Solve 2*s - 7 = -i, -v*s + 0*i - 2*i + 9 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + d)*(4*d + 2*d - 3*d) - 8*d**2 + 82 - 82.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 317.159 and -689.\nAnswer: -371.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/3 - 16*p\/3 - 32\/3 = 0. Calculate p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1 = -4*d + 30, -5*o - 4*d - 21 = 0. What is the second smallest value in o, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 3*j - 2, 2*j - 6 = -3*a. Suppose -3*r + a*z + 44 = 0, -r + 0*r - 5*z = -43. What is the highest common factor of 36 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrs when three letters picked without replacement from rsrrssrssrsrrsrr.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5204954.\nAnswer: 2, 2602477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1624 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (0 + -5 - (2 + -6)). Let r(g) = -g**3 + 4*g**2 + 2*g - 14. Let j be r(4). Put j, 5, t, 1 in ascending order.\nAnswer: j, 1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103511 divided by -4\nAnswer: 103511\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*l + 2. List the prime factors of l\/6 - (-62)\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2. Let n(w) = 60699*w - 1. Give n(z(j)).\nAnswer: 182097*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692980473.\nAnswer: 3, 230993491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58.5 + 5.5. Let s = 170.3471457 + -117.3471744. Let f = w + s. What is f rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k - 2. Suppose -3*u = -u - 44. What is the remainder when u is divided by w(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 11*c + 6. Let g be w(8). Let m be (-7762)\/(-112)*8\/g. Let j = m + -44\/63. What is the common denominator of 37 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 3590\nAnswer: 1\/1795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**5\/3 + 59*m**4\/3 - 5*m**3 = 0.\nAnswer: -15, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149\/133 - -24\/19. What is the closest to 2 in 2, 3, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/40 - (-2)\/10. Let s(j) = j**2 + 3*j + 2. Let d be s(-3). Suppose -58 - i = -d*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3366.013 to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -136*t**2 - 18*t**2 - 301*t**2 + (2*t - 2*t + 2*t)*(3*t + 0*t - 2*t) as u*t + w + a*t**2 and give a.\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 25, 58, 133, 268, 481?\n\"Answer: 3*j**3 - 6*j**2 + 6*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2030330 + -120?\nAnswer: -2031110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 0) + -17 + 14 + 0 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**6\/45 - r**4 - r**3 - 32. Let y(o) be the third derivative of b(o). Find the first derivative of y(q) wrt q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-1))**(-44))**(-9)*t*t*t**(2\/5)*t\/t**(4\/5)*(t*t*t**1*t)**(-6\/13) assuming t is positive.\nAnswer: t**(77269\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 3\/4*z**5 - 18*z - 1\/6*z**4 + 0*z**3 + 0*z**2 + 0. Let v be y(1). Solve -u = -2*g - 4*u - v, 7 = -3*g - 2*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jji when three letters picked without replacement from {n: 2, j: 3, i: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3981*u - 7973*u + 3984*u - 24 + 23.\nAnswer: -8*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 + (-7 - -16) + 374. Calculate the greatest common factor of f and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -378 divided by 414\nAnswer: -21\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -120233?\nAnswer: -120223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 77\/618?\nAnswer: 77\/618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*0.1014433\nAnswer: -0.06086598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 7*k**2 + 6*k + 3. Let c be (30\/9 + -4 + 0)*9. Let n be a(c). Suppose -4*p - 2710 = -2*z, n*p - 2731 = -z - z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:08 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -398a4 (base 11) to base 16.\nAnswer: -de98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -853*a**3*s**2*y + 1141*a**3*s**2 + 7*a**3*y - 295548*a**2*s wrt s?\nAnswer: -1706*a**3*y + 2282*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 4\/7, -1\/3, 19.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjjb when four letters picked without replacement from {f: 1, b: 1, j: 14}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8204.679 days in minutes?\nAnswer: 11814737.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -283945 divided by -12?\nAnswer: 283945\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139 or 42.6162?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.78 + 118.22. Let y = m + -65. Let i = -55.9 + y. Which is the second biggest value? (a) i (b) -2 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -171824, -343747, -515714, -687725, -859780?\n\"Answer: -22*s**2 - 171857*s + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 - -63. Let x = -63 - z. Which is the biggest value? (a) 0 (b) 2\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*u = 205, 4*u = k - 50 + 14. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -159. List the prime factors of a.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17670)\/140 - (-168)\/784\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, w: 3, j: 2, d: 1, u: 2, k: 6}. What is prob of picking 1 w, 1 a, and 1 j?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 4*7579\/330 - (-4)\/30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*t - 3*f + 3029, -4*t + 3069 = -5*f. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(448)*-2)**2 + ((sqrt(448) + 0)*-2)**2) + -1 + sqrt(448) + 0 + 5 + 5.\nAnswer: -7149 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 22. Let z(w) = -w**3 + 2*w - 2. Let m be z(-2). Let i(g) be the second derivative of -1\/3*g**3 + 0 + 0*g**m + 29*g. Determine d(i(s)).\nAnswer: -4*s + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 4. Let o be i(9). Let y = o + 21. Suppose 0 = 5*j - 29 - y. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - c. Suppose -2*o + c*o = 0. Suppose 2*i + i = o. Is i bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.48 + 0.02. Suppose -3*t - 2*j - 8 = 2*t, 4*j + 16 = -5*t. Let l be 3 + -3 - (t + 1). Which is the third biggest value? (a) w (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 0 + 0 + 4 - 7*s. Let h be x(1). Is -22 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259263 a multiple of 347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*j - 2*z, 2*j + 4*z - 8 = 2*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 4*o**2 - 4*o - 7. Let d be q(-2). Let y be 3 + (-15)\/d + (-162)\/105. What is the closest to 2 in -2\/7, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3995357 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 68. What is the second derivative of -4*k + k**f - 3*k**2 - k**2 + 5*k**2 wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.343 rounded to one dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/(-768)*(-9)\/2)\/(2\/8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -6d?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, 5439, 0 in descending order.\nAnswer: 5439, 9, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 388 - 380. Suppose -t*h + 9*h = -2. Is -8\/9 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 9*q - 1. Suppose -2*v = k + 9, 0 = 2*v - 7*v - 15. Let n be h(k). Calculate the highest common factor of 2 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 0)\/((-51)\/(-34)). What is the third smallest value in t, 1, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/23)*r**(1\/6))\/(r**(-7)*r*(r*r**(-2)\/r)\/r) assuming r is positive.\nAnswer: r**(1271\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138 - -126. Let v(j) = -j**3 - 13*j**2 - 17*j + 2. What is the tens digit of v(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x - 15 = 0. Suppose -142 = -23*w - 119. What is the least common multiple of 5 + (0 - 0 - x) and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167868898, 167868901, 167868904, 167868907, 167868910, 167868913?\nAnswer: 167868916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 9*d**2 - 44*d - 959. What is h(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.0694, -2\/63.\nAnswer: -2\/63, 0, 0.0694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(2*sqrt(4)) + -5)**2 + -1*(-1 + sqrt(19) + -1)**2.\nAnswer: -sqrt(19) + 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-10*(-384)\/960.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 14 = -3*h - 0*h - 1, -6*h - 110 + 90 = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5401723862 a multiple of 8462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-27))\/((28\/318)\/(-7)). Is n bigger than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 19*w**2 + 11*w - 11. Let o(d) = -9*d**2 - 5*d + 5. Suppose 4*c + h + 25 = 0, 2*h = -3*c + h - 19. Let l(s) = c*b(s) - 13*o(s). Is l(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3455, -6922, -10389, -13856?\nAnswer: -17323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 80 = t + 29, 5*t + 27 = w. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 12. Let x be m(9). Suppose x*h - 234 = -6*h. Calculate the remainder when 77 is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 643 - 646. Which is the fourth biggest value? (a) 0.4 (b) 5 (c) -17 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1.9. Sort 15, o, 1\/3 in decreasing order.\nAnswer: 15, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 4. Suppose -a*u + 11 = -14. Let q(x) = 14*x - 18. Let v be q(2). Solve -h - 24 = 2*h - 3*g, -5*h - v = u*g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -667595 divided by 10\nAnswer: -133519\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1926826*o**6 - 4153*o**2 + 20*o?\nAnswer: -231219120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 167*v**3 - 2*v**2 + 5*v - 2. Let w(t) = -2*t**2 - 19*t - 8. Let i be w(-9). List the prime factors of d(i).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (345\/60 - (-3)\/12)*(-15)\/(-6). Calculate the highest common divisor of 850 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmbbbbbbmbbbbbmbbbm. Give prob of picking 1 m and 1 b.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 - -659. Calculate the remainder when z is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 45 - 5*b - 45 - b + 2*b**2 + b - 2*b**2 + 0*b**2 + 0*b**2 + (-1 + 0 + 0)*(9*b**2 + 4*b**2 - 12*b**2) in the form l*b + k*b**2 + x and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**5 + 27*n**4 + 428*n**3 + 665*n**2 - 12*n.\nAnswer: -60*n**2 + 648*n + 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660998143?\nAnswer: 13, 71, 733, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v. Let s be n(-2). Suppose -2 + 8 = s*y. Suppose -y*r + 10 = -5. Solve -k + r*k - 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.4, -3, -0.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2cb (base 15) to base 16.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 - 109. Solve -t - 5*n - 24 = u, n = -4*n - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -191*r + 1723. Let h be i(9). Solve 25 = h*w + 41 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299 and 10907?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 282 + -479. Let k = -196 - t. What is the fourth biggest value in k, 3, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-100)\/930)*(-29)\/(-87)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33\/5 of a decade?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 3, o: 1}. Give prob of picking 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide (-2)\/(-3) - 58722*(-20)\/90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9005622, 9005628, 9005638, 9005652, 9005670, 9005692, 9005718?\nAnswer: 9005748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8828388?\nAnswer: 2, 3, 19, 12907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 6:07 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/11 (b) -2 (c) -3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -486051067*1\nAnswer: -486051067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + y**3 - 2*y + 0 + y**3 + 0 + 3*y**2 - 3*y**2 + 3*y**3 - 86*y**3 - 1446*y + 1446*y + (4*y - 3*y + 0*y)*(3*y**2 - 3*y**2 + y**2).\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-14))\/((-63)\/14)*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5217*v - 2*v**2 - 5217*v - 46 as q*v + h + b*v**2 and give h.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - h**2 - 4*h + 5. Suppose -11*u = -44 - 0. Is c(u) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.5 + -8. Let p = 0.1 - y. Let r be 2\/(-3) + 0 + 0. Put 2\/7, p, r in decreasing order.\nAnswer: 2\/7, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Suppose -2*p = b*p + 5. Let a be 1\/p*(4 - 3). Is a != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from qqzqqnyyqw.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 42*v**2 + 44*v + 55. Determine k(-43).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(0 + 0 - 2*z) + 0 + 0 + 3*z - 26*z - 2516 + 5014 - 2504.\nAnswer: -25*z - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/128 and 714\/16*4\/18.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8624025581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200759 is divided by 612?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 59?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 7*t. Let d(m) = 16*m - 5*m - 2*m - 6*m. Give 5*d(i) + 2*r(i).\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -626, -628, -630, -632, -634?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 7*b + 88 = 0. What is the common denominator of b and 59\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01012832558 to 6 decimal places.\nAnswer: -0.010128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9156466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, -11, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00437814 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(-3*sqrt(832) + sqrt(832) - sqrt(13)) - ((sqrt(325) + -1)*4 + sqrt(325) + sqrt(325)))**2.\nAnswer: 576*sqrt(13) + 67408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**2\/2 + 7. Let o(l) = -4*l - 2. Give o(w(t)).\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**5\/10 - u**4\/24 - 17*u**3\/6 + 16*u**2. What is the units digit of q(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*((-4*2*sqrt(133) - sqrt(133) - sqrt(133)) + 2*sqrt(133)*-3))\/((2*sqrt(1008))\/(sqrt(576)*1)).\nAnswer: 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16434035970.25106231076 - -0.25106231076. Let j = 16434035367.00000614 + r. Let m = -603 - j. What is m rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188 and 2021.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2091 - 1430. Does 65 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 5*q**2 - 4*q - 3. Is 23 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 97 + 109. Solve -2*i + 3*r + 6 = 2*r, 5*r = -f*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 5. Let h be q(-15). Calculate the greatest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 k when three letters picked without replacement from wkwwwewekkk.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 950.9347 millilitres?\nAnswer: 0.9509347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 4. Let r be a(0). Suppose -4*j + 25 = j. Sort j, -4, r.\nAnswer: -4, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 - 90. Suppose -l = 3*o - i, -3*o = -7*l + 4*l - 21. Solve 4*f - 3*f = -o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4147271, -4147273, -4147275, -4147277?\nAnswer: -4147279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(918\/340)*-1*3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 258 = -2*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 0.1, 20, -0.4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 14*a**2 + 5*a + 19. Is h(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9099968 decades to years.\nAnswer: 9.099968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 815481809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -671097 = -3*k + b, 4*k - 130*b + 133*b = 894796. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 16 - (-2 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 4 - 4*b**2 - 3*b**2 - 3*b**2. Let z(p) = 19*p**2 + 7*p + 7. Suppose 4*l - 133 = 23*l. Determine l*o(x) - 4*z(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000830913 rounded to 6 decimal places?\nAnswer: -0.000831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.3 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/495 - 72\/216.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 29 = -2*w, -w - 4*z = 2 - 6. Let d be w\/12*(-3)\/(-2). Let t be d - ((-7 - -3) + 1). Solve 4*m = t*m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 1) + 0 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -15. Suppose 0 = t*j + j. Let g(x) = -6*x**2 - 8*x**2 + j*x**2 - x**2. Let q(u) = -u**2. Give q(g(p)).\nAnswer: -225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22*6*7\/21 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251 times -7\nAnswer: -1757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Let z(o) = 13*o**3 - 32*o**3 - o**2 - 4*o + s*o. Let v be z(-1). Calculate the greatest common factor of 95 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -172 - -86. Let r = c + 86. Is r < -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)*u)\/(u**6*u)*(u**(-1\/2))**1)\/(u**(-5)*u*u*u**6*(u*(u**(2\/9)\/u)\/u)**49) assuming u is positive.\nAnswer: u**(479\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4745 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: Is 214 a factor of 18190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 52, 134, 256, 418?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-113)\/(60\/(-55) + 1). Suppose -103 = 4*y - z. List the prime factors of y.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2391*h - 16758. Calculate f(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627049.\nAnswer: 23, 137, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(147) + -1 - sqrt(147))*5 - -5*(1 + sqrt(147)) - (-2 + (2 + sqrt(147) + sqrt(147)*1 + sqrt(147) - (sqrt(147) + -1)*-4)))**2.\nAnswer: -672*sqrt(3) + 3624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-16 - 0) - -17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37, 100, 163, 226, 289, 352?\n\"Answer: 63*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25233, 25213, 25191, 25167, 25141?\nAnswer: 25113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -27.\nAnswer: -13\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 1, f: 1, q: 1, a: 1}. Give prob of picking 1 f and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62355918.\nAnswer: 2, 3, 10392653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6 + 17*q as g + k*q and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12490537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 6\/7, -5\/2, 20, -5\/4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 + -3 - 20\/(-4) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467*b + 482*b = 68610. What are the prime factors of b?\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4.2, 5, -340?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567 = 5*z + 4*b - 76, 4*z - 5*b = 498. Let n = z - -21. Suppose 0 = -5*v + n + 7. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-5*182\/140)\/(9\/(1053\/9))).\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - 15 + 13 - 9*b)*(4*b + 4 - 4) + 18*b**2 - 1 - 10*b**2 - 9*b**2.\nAnswer: -57*b**2 - 8*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/w*w*w*w**(2\/9)*(w*w**(2\/3)*w*w)**37)\/(w**(-6)\/(w*w*w**4))**(-10\/3) assuming w is positive.\nAnswer: w**(899\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**2 - 5*u - 4. Let v = 22877 - 22880. Give g(v).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -511 + 483. Which is bigger: -34 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*a + 679*a + 26974 + 3082 = -17314 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - -5. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.019 (c) 7 (d) -111 (e) 4\/5 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(300)*-2 + 1 - sqrt(300)))**2.\nAnswer: -1500*sqrt(3) + 67525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*c = 3*r - 19, -3*r - 4*c = 26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 97?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 192?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**5\/10 + t**4\/6 - t**3\/2 - 9*t**2\/2 - 5*t - 675. Determine b(-4).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2 - 5*o**2 + 1 - 2*o + 2*o**3 - o**4 to j + d*o**2 + w*o**3 + v*o + f*o**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -1\/4*g**2 + 0*g + 0 + 1\/8*g**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -60389 and -0.0478?\nAnswer: 60388.9522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11569026.\nAnswer: 2, 3, 7, 275453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 22575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -5293, -1, -2\/7 in descending order.\nAnswer: -0.03, -2\/7, -1, -5293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2) + -5 + 2. Suppose -2*s - 2 = -4*s. Let z(r) = r + 1. Let i(f) = -2*f**2 + 2*f + 2. Determine s*i(q) + t*z(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222020 - -10?\nAnswer: -1222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11188833*a**2 + 12*a - 635733 wrt a?\nAnswer: -22377666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3875 and 68045?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 6*m - 2. Let g(j) be the second derivative of 1\/2*j**2 + 0 - 5\/6*j**3 + 1\/6*j**4 - 67*j. Calculate 4*g(c) + 3*l(c).\nAnswer: 2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7027574 milligrams to grams.\nAnswer: 0.0007027574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, 85, 228, 441, 730, 1101?\n\"Answer: d**3 + 26*d**2 - 6*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 - 74.2. Which is the nearest to -0.4? (a) 2\/7 (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858395517?\nAnswer: 3, 7, 709, 57653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79245 (base 10) to base 9.\nAnswer: 130630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -334, 95, 524, 953?\n\"Answer: 429*c - 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2167500 to the nearest 10000.\nAnswer: -2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 + 17*i**2 + 15*i + 58. Let g be f(-8). Which is the fourth smallest value? (a) 15 (b) -0.09 (c) 0.2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110282 smaller than 110365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2*k = 20, 63*r + 3*k = 65*r + 7 + 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-560 - 1490 - 785 - 2401)*(-5 + 3 + 3)*(v - 3*v + 0*v) to h*v + q and give h.\nAnswer: 10472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a gram in milligrams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + 0 + sqrt(1216))**2 + -2 + (sqrt(1216) + (sqrt(1216) + 0 + sqrt(1216))**2)*1.\nAnswer: 8*sqrt(19) + 6079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 163 - 37. Let f be (c\/(-9))\/((-2)\/3). Let p = f - 0. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxbxxxxxxxxxxxxxb. Give prob of picking 2 b and 1 x.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -14.87?\nAnswer: 12.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102 - -12 - -94) + (1 - (1 + 29)) + -1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -34\/605721?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -6\/11, -4, -1\/720, -3\/4, 0.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-14 + 15 - 9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 9*z**2 - 11*z - 7. Let l be b(-8). Let g = l - 23. Is g equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 8:22 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = -p. Let s(h) = -h + 2. Let f be s(0). Suppose -2*d + f = -d. Sort p, 4, d.\nAnswer: p, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -11*r**3 + 18*r**2 - 15*r - 17. Let n(v) = -5*v**3 + 9*v**2 - 7*v - 8. Determine 13*n(m) - 6*s(m).\nAnswer: m**3 + 9*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r**2 - 26*r + 66. Let m(z) = -z**2 - z. Let y(d) = c(d) - 8*m(d). What are the prime factors of y(5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*m = -18, 67*p = 62*p + m - 6. Is p greater than -27\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 9 - 108*r**2 - 2 + 121*r**2.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/15 and -155\/177585018.\nAnswer: 887925090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**2 + 5*z**2 + 3*z**2)*(2 + 6*z - 6*z - 33*z) as g + s*z**2 + k*z + y*z**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-14)*5*(-70)\/(-175)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 - l**2 + l**2)*(0*l + 3*l - 5*l) + 3*l**5 + 2*l**5 - 3*l**5 + 2*l**5 + 4*l**2 - 4*l**2 - 39*l**2 + 4*l**5 - 2 - 49*l**2 + 93*l**2.\nAnswer: 10*l**5 + 5*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -266?\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20876?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 76447.8 months?\nAnswer: 6370.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.01, 6, 1\/3, 2\/7, -0.03?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*2*(-1)\/(-4). Let t = 6 - -21. Let r = -27.05 + t. What is the biggest value in i, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/11158308 and 95\/1248.\nAnswer: 1160464032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 1760 = -548. What is v rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**5\/5 + 417616*m**4\/5 + 10903118072*m**3\/5 + 30515117776*m**2 + 71921995860*m = 0. Calculate m.\nAnswer: -52195, -11, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -312.5 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/5304767 and -35.\nAnswer: 5304767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 + 2*w. Let p be i(1). Let y be p*(9\/(-2))\/(-9). Suppose y*u = 2*m + 8, 2*u + 8 = 5*u - m. Solve -c - 3*l + 1 = 0, 2*c - 1 = c - u*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, -5, -9979 in decreasing order.\nAnswer: 4, -5, -11, -9979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 0 + 10 + 1 - p + 1. Let x be c(8). Suppose -4*n + 3*n + x*u + 34 = 0, 5*n - 45 = -5*u. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11\/393 + 295\/1179. Let m(b) be the first derivative of 40\/9*b**3 - 32\/3*b + 7 + 1\/3*b**4 + d*b**6 - 16\/15*b**5 - 8\/3*b**2. Find s such that m(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 44.7.\nAnswer: -178.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 9*i - 9. Let p be f(-7). Solve -p*v = -3*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 7. Let h be r(-6). Let w = 151 + -134. Let s(n) = -n**2 + 14*n + 52. Let l be s(w). What is the highest common factor of h and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/4 - -2)*5*1. Let r(s) = s**2 + s + 4. Let y be r(-3). Suppose -5*n = -y, -t*n + n = -4*l - 8. Solve -5*g + 2*g - 9 = l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, d: 4, w: 3}. Give prob of picking 1 w and 1 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 594 - 496. Let j(u) = -u**2 - 8*u + 1. Let g be j(7). Let x = v + g. Let i(s) = s**2 + 6*s - 7. What is i(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 5) + -11 - (-5 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 2)*(5*z - 5*z - 5*z)*(-6*z**3 - 3*z**3 - 3*z**3).\nAnswer: 240*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 18.3. Let s = 2 - u. Let p = s - -14. What is the biggest value in p, 3, 2\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 43221390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - 1224 = -23*i. Let h be ((-3)\/(-6)*-2)\/((-3)\/i). Let j be (3 + -1)\/2 + h\/17. Solve -j*y - 20 = -0*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*h*z**2 - 29748*h - 1364*z**4 - 2 wrt z?\nAnswer: 14*h*z - 5456*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 153 - 142. Let h(k) = -k**3 + 4*k**2 - 3*k + 3. Let n be h(3). Let y = 9\/35 + -151\/315. Which is the second smallest value? (a) n (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 2*g**2 + g. Let i be b(0). Solve 3*j + 3*r + 1 = 7, -5*j + 5*r - 40 = i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/17)\/t)**(-4) assuming t is positive.\nAnswer: t**(-8\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -206758, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-1 + sqrt(720))*2 - sqrt(720)) - ((-1*sqrt(60)\/sqrt(2) - sqrt(30))\/((sqrt(96) - sqrt(6))*-6))**2) + 0.\nAnswer: -167\/81 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 20 - 4*f**2 + 11*f + 13*f + 18 - 10 = 0?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9894)\/(-14) - 6\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v - 5*g + 9*g = 9*g + 46, 5*g + 112 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -15 (b) 35649 (c) -3 (d) -0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -616903, -1233234, -1849565, -2465896, -3082227?\n\"Answer: -616331*s - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3\/6 + m - 3. Let j(c) be the first derivative of k(c). Let s(d) = -2*d**2. What is j(s(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 272.973 + -273. Let j = -0.083 - h. Which is bigger: j or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 9*b + 5*n + 115 = 6*b, -20 = 5*n for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 497*o + 78889. Give u(-159).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 23, 28, 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d**2 + 23*d**2 - 3*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 48*u**2 + 12*u - 134. List the prime factors of b(-18).\nAnswer: 2, 13, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21181 and -796.\nAnswer: 16860076","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((-5)\/(-48)) - 2. Let b = -34 - r. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 + a58?\nAnswer: a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 17.34. Let w = 0.34 + l. Which is the nearest to w? (a) -5 (b) -1\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 2:55 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 292180*b**3 - 3*b**2 + 32*b - 28. Is p(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 9101534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1154\/455 + -8\/35. Let o be (13 - 2680\/208)*(1 - -17). Let q = o - j. Are 1 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (7\/(-2) + (-8)\/16). Suppose -f*r - 45 = 7*r. Is -7 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p*((((p*p**(-4)*p)\/p)\/p*p)\/p)\/p*p)*p*p*p\/(p\/(p\/(p\/((p**9*p)\/p)))))**(4\/15) assuming p is positive.\nAnswer: p**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x**2 - 8*x + 3. Let b(n) be the second derivative of n**4\/6 + n**3\/2 - n**2\/2 - 63*n. Calculate -8*b(y) - 3*v(y).\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + sqrt(1700) + -1 + -3.\nAnswer: -8 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*f - 990 = 52*f. Which is bigger: 89 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 507*o + 98352. Determine x(-194).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 - 2*a - 5*a**3 + 3*a + 2*a**3 - 6*a**3 + 3*a**3 + (2*a + 1 - 1)*(a**2 + 2*a**2 - 5*a**2) + 0*a**3 + 0*a**3 - 3*a**3 - a**3 + 4 - 4.\nAnswer: -12*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -247341 (base 12) to base 4\nAnswer: -2100310201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2063, 2062, 2061, 2060, 2059?\n\"Answer: -x + 2064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -158, 2, -5 in decreasing order.\nAnswer: 2, -5, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -91563440*j**2. Let r(q) = 2*q. Calculate r(x(m)).\nAnswer: -183126880*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2959 - -12242. Suppose -18*n + z = -5801. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z - 16 = -6*z - 90 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -37. What is the least common multiple of 3 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*m + 4*v, -5*m = -2*m + 5*v - 23. Which is greater: m or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 16 = 4*x. Let f(v) = -v**3 + 2*v**2 + 2*v - 1. Let l be f(2). Which is the smallest value? (a) x (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 8*p**2 - 4*p + 16. Let d be q(-7). Let s(m) = m**2 - 3*m - 4. Let l be s(d). Suppose l*j - 8850000 = 31*j. Round j to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 333, 749, 1331?\nAnswer: 2079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4 = -16. Let q be 16\/(-3)*(-1)\/2. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 + 298*r + 2976\/5.\nAnswer: (r + 2)*(r + 1488)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s**(1\/4)\/s)*s))**(-20\/3)\/(s\/(s**(-1)*s)*(s\/(s*s\/(s*s**(-2\/9)))*s)\/s*s) assuming s is positive.\nAnswer: s**(89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**4\/12 + 5*j**3\/2 - 37*j**2\/2 + 1758*j. What is w(-15)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 28\/15 (b) -0.5 (c) -1 (d) 0.4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -240846.9 to the nearest one hundred.\nAnswer: -240800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 7*l**2 + 7*l + 2. Calculate f(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 26. Let k be ((-11)\/(-11))\/(y\/5). Sort 2\/5, 4, k in descending order.\nAnswer: k, 4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-8 - (-20 - -6)) - 4 - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -33*q. Let g be (-6)\/(-22) - 13260\/1430. Let o(c) = -9 + 9 - 8*c. Give g*o(z) + 2*j(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9800 = -870*c + 905*c. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 2292, 0.1, -3\/11, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + -2.05. Let i = -5\/39 - 121\/273. Sort m, i, 4\/7 in decreasing order.\nAnswer: 4\/7, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11a3e76 - 2?\nAnswer: 11a3e74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vovonvonvoovvvvvo. Give prob of sequence ovn.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11150 + 131552?\nAnswer: 143142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 13*p + 1. Let g be j(-12). Suppose 0 = -4*c - 4*r - g - 7, -2 = r. Which is smaller: c or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6879.575mm to kilometers.\nAnswer: 0.006879575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(-14*y - 8*y + 64*y) + (-2*y + 5*y - 5*y)*(3 + 3 - 5) - 4*y + 2*y - y - 5*y + 5*y + y in the form n*y + l and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 49. Let p(u) = 31*u - 522. Let o be p(17). Put -2, -0.3, o, g in descending order.\nAnswer: o, -0.3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 17. Give c(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306857*l - 2 - 102300*l - 102273*l - 102303*l + 2.\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**3 + 3*v**2. Calculate q(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - f + 8. Let n(t) = -t**3 - 2*t**2 - 2*t - 3. Let s be n(f). Is 61 - -6 - 0\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 5 - ((4 - -32) + -16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19852 >= 19873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l. Let f(z) = -3306281*z - 3. Give f(n(g)).\nAnswer: -19837686*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 + 0.93. Let o = 3.3 - 3. What is the third smallest value in o, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5746353 hours?\nAnswer: 2068687080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2701*j**2*w**3 - 24*j**2 - 196*j*w + 8*j - 102*w**3 wrt j?\nAnswer: 5402*w**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22100 (base 3) in base 14?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*((-156)\/(-714))\/(-13)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2749 (base 11) to base 3\nAnswer: 11212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178.132 millilitres to litres.\nAnswer: 0.178132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 51*b**3 - 12 + 7 + 43*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10355614*i*y**3 + 2*i*y**2 - i*y + i + 21544530 wrt y.\nAnswer: -31066842*i*y**2 + 4*i*y - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + 13*f + 16. Let k be c(-2). Let o(r) be the first derivative of -k - 2*r - 5\/2*r**2. Differentiate o(h) with respect to h.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 192300 to the nearest 1000.\nAnswer: 192000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, h: 4, b: 1, n: 5}. Give prob of picking 1 n and 1 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c**(-14))\/(c**(-35))**(-4) assuming c is positive.\nAnswer: c**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = l - 8. Let w = 23 - l. Suppose q = w*n + 15, q - 16 = -q - 3*n. Calculate the remainder when 20 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10 + k - 2*k + 2*k. Let w be 116\/12 - 3 - (-2)\/6. Calculate x(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -348010312 + 348010221.99999914. Let h = -90 - c. What is h rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1777\/1295 + -55\/37. Let y = 2\/7 - z. Factor -1\/5*x**2 + y*x + 0.\nAnswer: -x*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g**2)**11 assuming g is positive.\nAnswer: g**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -10. Let y(h) = -4*h + 3*h - 16*h**2 + 5*h**3 - g + 15*h**2. Calculate y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -460 + 470. Put s, 9, -4\/7 in descending order.\nAnswer: s, 9, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 224900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*p + 4\/3*p**3 + 32\/3*p**2 + 24.\nAnswer: 4*(p + 2)*(p + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -19. Let t = -0.93 + -0.07. Which is the third smallest value? (a) u (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 75 = 2*f, 5*q - 153 = 6*f - 2*f. Let o be (-9)\/f*(-28)\/(-21). Let j = -5 - -8. What is the biggest value in j, -3, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 335 + -333. What is the fourth biggest value in 0, k, 4, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 - -1.4. What is the nearest to 1 in -3\/2, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*-2*1\/(-23).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -57*n + 36*n. Let o(q) be the first derivative of 0*q + 4*q**n + 12\/5*q**5 + 13 - 4*q**3 - 2\/3*q**6 - q**4. Find i such that o(i) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36048835241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 453279.1 nanoseconds?\nAnswer: 453.2791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 124. Calculate the remainder when a is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6490 and 2655.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 4 + 24*r - 222*r - 2 as o*r + z and give o.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + 0*a**2 + a**4 + (3*a**2 - 3*a**2 + 2*a**3)*(0*a + a + a) + 336284*a**4 + 5*a**2 - 336139*a**4 + 6*a**2.\nAnswer: 150*a**4 + 11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -15 - (5 - (-1 - -3))) + -14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*(2 + 1) - (2 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20123684 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) 0.11 (c) 115 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.85 + -0.7. Let t = v + -0.14999935. What is t rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*z**2 - 5*z**2 - 2 - 5*z**2 + (-32 - 7 + 66)*(-4*z + 0*z + z)*(0*z + 0*z - z).\nAnswer: 79*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f - f**3)*(2*f - 6*f - 24*f) + (5*f**4 - 2*f**4 - 2*f**4)*(-2 + 3 - 3) - 2*f**4 + 2*f**4 - f**4 + 717*f**2 + 18*f**4 - 717*f**2 - f + f + f**4.\nAnswer: 44*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a - 61. Determine y(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 198 and -22.613763.\nAnswer: 175.386237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31590\/120)\/9 - 30.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275337 - -191.\nAnswer: 275528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1917 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 23*t**2 - 23*t - 7. Give c(-22).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65300982 divided by -318?\nAnswer: -205349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 866860.\nAnswer: 6068020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*v**5 - 9*v - 2*v + v wrt v.\nAnswer: 160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1200364560*j - 948375. Let s(o) = -25314*o - 20. What is -4*r(t) + 189675*s(t)?\nAnswer: 25290*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1237441455.\nAnswer: 3, 5, 29, 105359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 65*y**4\/2 + 187*y**2\/2 - 14*y - 11. Differentiate s(i) with respect to i.\nAnswer: 780*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*x + 11 = -53, -x = 4*j - 60. Determine v so that -v**5 + 14*v**2 - v**3 - j*v - 38*v**2 + v**5 + 6*v**4 - v**5 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2984953.\nAnswer: 2984953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b + 4. Let y(n) = 5*n + 2. Let a(t) = 6*f(t) - 11*y(t). Let p be a(3). Let d be (-2)\/5*(-14 + 9). Sort 11, p, d in ascending order.\nAnswer: p, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 31*x - 90 = 13*x. What is the remainder when (80\/(-25))\/(8\/(-220)) is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13 + 5*x**2 + 64*x**3 - 23*x**2 + 13 - 19*x**2 wrt x.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.7 - 17.7. Let i be ((-2)\/20)\/((-46)\/345). What is the closest to 0 in -6\/11, i, j?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*-3*20\/990.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.3, -2\/25, -0.5, -19320, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-10 - (0 + -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 329*t**3*u**3 + 8107*t**3*u + 708*t**2*u**2 - 20281*t*u**3 wrt u.\nAnswer: 1974*t**3 - 121686*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 8*r**3 - 46 + 153302*r - 153302*r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249 divided by 286026.\nAnswer: 83\/95342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millennium in centuries?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198)\/231*(-42)\/20.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Let o(y) = 2*y**2 + 15*y + 7. Let p be o(-7). Suppose -2*h + 1 = 2*h - u, -4*h + 3*u - 5 = p. What is the highest common factor of h and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -20*a - 2. Let h be v(-1). Find the common denominator of 145\/18 and 20\/90 - 53\/h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 6602.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-90)\/1305 + (-286410)\/(-87) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a - x = -50*a + 155, -x = 5*a - 165. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 - -0.2. Let z = -16 + 15.8. Let u = z + -0.1. Put -2\/17, w, u in ascending order.\nAnswer: u, -2\/17, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**3*x + 3*g**3 - 65860*g**2*x - 11*g**2 + 1823805*g*x - 8*x wrt g?\nAnswer: 18*g*x + 18*g - 131720*x - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14926, -29852, -44778, -59704?\n\"Answer: -14926*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z + 117 + 147 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u + 5*k + 10 = 0, 0 = 5*k + 10. Let l be ((10 - u)\/(-2))\/(-1). Solve x + 2*x = q - 2, 0 = q - l*x - 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jij when three letters picked without replacement from iijiij.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z + 15 = 0. Let m = z - 10. Solve -19 = r + m*n, n = -2*n - 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31992688 to the power of 1\/2, to the nearest integer?\nAnswer: 5656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 4*y, -57*g = 2*y + 54*g - 114*g + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3988665 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 99484.8km in nanometers?\nAnswer: 99484800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 1. Let s(m) = -m**2 + 2*m - 16. Let q(v) = -2*c(v) - s(v). Let h be q(-7). Is -21 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16267? (a) 7 (b) 0.5 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 307383.2 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.139334ns in hours?\nAnswer: 0.000000000023649815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*3002950\nAnswer: -1201180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 4. Let n = 25 + -23.7. Let g = n + 0.7. Which is greater: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 25. Let l be u*-26*2\/8. Suppose 0 = -g - 7 + l. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -289, -574, -863, -1156, -1453, -1754?\n\"Answer: -2*f**2 - 279*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, d: 4, t: 10}. Give prob of picking 1 n and 1 d.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 218*p + 160*p - 608*p + 195*p. Let h(j) = -6*j**2. Give h(r(z)).\nAnswer: -7350*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 22*o + 21. Let u(g) be the second derivative of -g**4\/2 + g**2\/2 - g - 2. Give u(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -130, -94, -56, -16, 26?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 44. Suppose 5*v - 4*t = 3*v + 626, 1583 = q*v - t. List the prime factors of v.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 45*n - 2. Let s be l(1). Let g(a) = a**3 + 4*a**2 + 5*a**2 + s*a - 42*a + 5. List the prime factors of g(-8).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -14*f - 47. What is the remainder when 107 is divided by h(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000208131 to 6 dps.\nAnswer: -0.000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -5, -0.3, 309390?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -76. Let o(c) = -c - 54. Let b(a) = 2*a + 80. Let u(t) = n*b(t) - 7*o(t). Let k(v) = v. Determine k(u(m)).\nAnswer: -3*m - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 7:23 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25275021 (base 8) to base 3.\nAnswer: 101112121020102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -775 = -z + 3*o - 793, -2*z = -5*o + 32 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 76 + 68 = 3*r, -4*z - 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 17*d - 9*d - 2*d - 4*d. Let r(p) = 21*p - 5. Let m(k) = -116*k + 28. Let q(t) = 5*m(t) + 28*r(t). Determine q(a(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 4172.\nAnswer: 4177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 460461289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.3 - 23. Let k = c + 0.1. What is the closest to -2\/11 in k, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 477198, 477195, 477194, 477195?\n\"Answer: w**2 - 6*w + 477203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -12*l + 34. What is y(8)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -171\/4282 - -1344335\/638018. Let w = j + 7717\/2682. What is the common denominator of w and 23\/39?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 56*b - 2. Let y be o(2). Suppose -y = -2*x - 3*x. Is 6828\/44 + (-4)\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) - (-18)\/(-5). Let j(n) = -n**3 + 6*n**2 + 390*n - 22. Let o be j(-17). Put -16, o, t in decreasing order.\nAnswer: t, o, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 10*d + 3 = 0. Suppose -3*a + 2*w = 2*a - 127, -d*w + 122 = 5*a. Solve 0 = 4*f + f - a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -0.1. Let z be ((-7)\/(-3) - 1) + -2. Let h(t) = -t**3 + 3*t**2 + 3*t - 4. Let b be h(3). What is the nearest to z in k, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(162))**2 + sqrt(18) - sqrt(18)) + (-5 + sqrt(98)*-1)**2.\nAnswer: 70*sqrt(2) + 933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 8 + 14. Suppose -l*o + 8 = -72. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*q + 829 - 3905 - 19262 = 0 for q.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51747 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.7 - 4.7. Sort 21, f, -0.2 in increasing order.\nAnswer: f, -0.2, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1376*k - 20651. What is v(15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 92 = 5*s, 74 = -s + 5*s - 3*m. Let v = -80 - -66. Let x = s + v. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -1, 296 in descending order.\nAnswer: 296, 10, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152029 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -369, 9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 21*k + 15. Let o(r) = 14*r + 10. Let x(b) = -8*o(b) + 5*y(b). What is the derivative of x(u) wrt u?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from {r: 2, w: 1, u: 1, b: 2, g: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110568 and 248778?\nAnswer: 995112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:02 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67387029?\nAnswer: 3, 103, 218081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -68, -143, -224, -311, -404, -503, -608?\n\"Answer: -3*h**2 - 66*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -11456431?\nAnswer: -11456425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*q**2 + 16*q**2 + 6*q**3 + 3*q**3 wrt q.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2451 - 2452 - 21*r - 101*r)*(-3*r + 5*r - 4*r).\nAnswer: 244*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4032522 > -4032516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 135407250311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**5\/60 - p**4\/6 - 2*p**3\/3 + 99*p**2\/2 + 149*p. Let q(z) be the first derivative of l(z). Calculate q(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (141 - (-1)\/1)\/(24\/60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 5*r**2 - r**4 - 3 - 2*r**2 to z*r + f*r**2 + h*r**4 + u*r**3 + t and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98209144 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -22*m + 1. Let u(x) = -2*x**2 + 21. Give c(u(i)).\nAnswer: 44*i**2 - 461","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47885 (base 11) in base 10?\nAnswer: 68942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/10 - (-42)\/10. Let x = o - 17. Let i = 22 + x. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -67bc (base 13) to base 7\nAnswer: -60222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528478416?\nAnswer: 2, 3, 1847, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwk when three letters picked without replacement from wjwkjww.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772*c - 778*c - 4*b - 10 = 0, -3*c + b = 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 1:32 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 2*u - 4. Let i be w(-11). Suppose -128 - i = -4*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8689 + 8869. What is the remainder when 1679 is divided by l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28520093 in -2\/11, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 7*m - 22 = 0. Let y = m + 77. Is ((68\/6)\/(-1))\/((-11)\/y) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (46 - ((50 - 5) + -31))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.7 - -7.3. Let u = y - 19.748. Round u to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 13. Determine n(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13761 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1298194 = -47*v + 66*v. Let n(q) = -26*q + v - 2*q**2 - 68326. Let p(b) be the first derivative of -b**3\/3 - 1. Determine p(n(t)).\nAnswer: -4*t**4 - 104*t**3 - 676*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 119 (c) 4 (d) 149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, v: 1, j: 4}. Give prob of sequence jmv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -68084 take away -0.4?\nAnswer: -68083.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(176) + 2)*-2 - (sqrt(176) + (sqrt(176)*2*3 - sqrt(176)) + -5 + sqrt(176) + sqrt(176) + -2))**2.\nAnswer: -560*sqrt(11) + 17649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -709 + 1400 + 6711*d - 691 to s + k*d and give k.\nAnswer: 6711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*b - 5289942 = -27*b. List the prime factors of b.\nAnswer: 2, 3, 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 6*u**2 + u - 2. Let c(q) = 7*q**2 - q - 2. Let h be c(-1). What is f(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -9*a. Let r(f) = f. Let q(g) = g. Let n(j) = 7*q(j) - 6*r(j). Give s(n(b)).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 5*p - 9*p - 14 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 0*k = 5, -c - 10 = -5*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8008776 nanograms?\nAnswer: 0.0000000000000008008776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**8\/588 + k**7\/49 + 7*k**6\/60 + 2*k**5\/35 - 5*k**4\/21 + 386*k**2 - 2. Determine z so that j(z) = 0.\nAnswer: -2, -1, 0, 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a**4\/a)\/a*a))\/a)\/a)**(-2\/33)*(a*a**(-26))\/(a*a**(-1\/6)) assuming a is positive.\nAnswer: a**(-563\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*w - 2*v, -5*w + 3*v + 0*v - 13 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + b + 2. Let v be l(-2). Suppose 0 = -v*g + 7*g - 36. Suppose o - g = -2*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(68) + sqrt(68)*4*-2)**2*2*3.\nAnswer: -792*sqrt(17) + 49422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -340*a**3\/9 + 674*a**2\/9 - 328*a\/9 - 2\/3.\nAnswer: -2*(a - 1)**2*(170*a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -9831.\nAnswer: -14\/9831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69834 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**5\/20 - o**4\/2 - 5*o**3\/6 + o. Let f be k(-5). Suppose h = -f*h + 15. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (85 - 38) + 20 + -70\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -3 (c) -1882\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9271*a - 5631*a - 2*a**2 + 4*a**2 - 4875*a as k + m*a**2 + i*a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 0.6676?\nAnswer: -0.3324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 821 - x - 812 to o + a*x and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2977680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6895 - 74895 = -2*h. Round h to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -17. Let u(i) = 4*i. What is the remainder when u(2) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5500486 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 9*t**2 - t - 3. Let c(z) be the second derivative of -z**3\/6 + 8*z**2 - 8*z. Let k be c(7). Suppose 2*l + 27 = k. Calculate u(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 3039c?\nAnswer: -3039b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) - 17\/(-3). Suppose -14 = 2*y - u. Let v = 5 + y. Solve -v + 0 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 117458*a**2 - 704729*a + 105. Calculate u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -659478 and 21341.\nAnswer: -638137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33390254.\nAnswer: 2, 67, 249181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 23*d - 27. What is r(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 - -9 - (3 + -2). Which is smaller: m or 3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -7*s - 124. Let a = s - -34. Suppose -3*u - p + 2 = 0, 0*u + 10 = u + 5*p. Solve 2*x + 4*v = -x - 25, -a*v - 12 = u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400)*-1)\/(sqrt(512)*4))**2 + 5 + 0.\nAnswer: 5295\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, 53, -3, 12342?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 14*g + 2. Let u(a) = 27*a - 15*a - 13*a. Let s(l) = h(l) + 5*u(l). What is the tens digit of s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 + 36*b - 9. Let z be g(18). Let v be ((-32)\/24)\/(((-12)\/z)\/(-2)). Factor -v*h + 26\/11*h**2 - 4\/11.\nAnswer: 2*(h - 1)*(13*h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42919523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 541 times -4?\nAnswer: -2164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 240.5?\nAnswer: 4.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3*s**3 - 127*a**3*s**2 - 46*a**3*s - 10*a**3 wrt s?\nAnswer: 18*a**3*s - 254*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. What is the units digit of -2*h\/(-12)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*r + 12 + 39*r + 23*r.\nAnswer: 5*r + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 182\/(-16) + 14\/28 and -31\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 79 + 8. Suppose 2*j - h = 31. Solve 3*x + 6 = -k, -x = 4*x - 5*k + j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -622 + 0.\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 1\/(-1)) + 17. Let a(v) = -v**3 - 14*v**2 - 45*v + 1. Let b be a(-9). Let k be ((-11)\/(-33))\/(b\/r). Put k, 0, -3 in increasing order.\nAnswer: -3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80940, -161893, -242884, -323919, -405004, -486145, -567348, -648619?\nAnswer: -729964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/21 and 29\/46.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167688893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 417 - -148. List the prime factors of k.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, d: 1, s: 3, b: 2, k: 1, m: 1}. Give prob of sequence wm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/4*r - 1\/4*r**3 - r**5 - 7\/4*r**2 - 1\/4 + 2*r**4 = 0. Calculate r.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 (base 13) to base 12\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11020111002021110 + 1?\nAnswer: -11020111002021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144320, 288877, 433434, 577991, 722548, 867105?\nAnswer: 1011662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(-196*z - 277*z - 2*z) + 4 - 6*z + 4*z - 3.\nAnswer: -952*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152966 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.1, -2270\/11, -0.5, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-4))\/(3\/(-40)). Let o = q + -16. Suppose -w + 2*w = o. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = -1. Let f(w) be the first derivative of w**5\/60 + 5*w**4\/24 + w**3\/2 + 7*w**2\/2 - 3. Let q(j) be the second derivative of f(j). Determine q(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 1, t: 1, b: 1, g: 3}. Give prob of picking 2 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*k**3 - 11*k**3 + 16*k**3)*(3*k + 1578*k**2 - 537*k**2 + 1343*k**2 - 3*k).\nAnswer: -14304*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 2754097229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3320354.9 to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221472 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 3*s**8\/2240 - s**7\/560 - s**6\/480 - s**3\/2 - 11*s**2. Let m(o) be the first derivative of j(o). Factor m(b).\nAnswer: 3*b**2*(b - 1)*(3*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*u - u. Let h be (-2 - u)\/(4\/4). Solve 2*f + 5*m + 40 = 11, h = -3*f - 2*m - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**5\/5 - 21*q**4\/5 + 58*q**3\/5 - 68*q**2\/5 + 36*q\/5 - 7\/5 = 0.\nAnswer: 1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 35 = -7. Find the common denominator of -9\/7 and 2 - k\/8*41\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = 0, 4*t - 118 = -t + 4*k. Suppose i = -2*g - t - 47, -3*g - 122 = -i. Let j = 101 + g. What is the remainder when j is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o - 44. Let j(w) = 295*w - 15913. Calculate the remainder when o is divided by j(54).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (-133)\/(-49))\/(3\/(-42)). Let b = 95 - 25. Let y = b + -37. Solve -y = 5*l - 13, -3*t + c*l + 25 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 12, -5*n = -5*k. Suppose -2*a = -k*x - 220, 3*x - 5*a + 132 = -0*x. Let z = x - -62. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7954714 - -8674007.4. Let n = k - 719291.9099878. Let d = n + -1.49. Round d to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122537 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4925.00004569 + -4925. Round v to 6 decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -56192 (b) -0.5 (c) 2 (d) 2\/21 (e) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaqzquqeqqqauazqy. What is prob of picking 4 q?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 m, and 2 n when four letters picked without replacement from hywnnhhhwahhymha.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s = 11*s - 168. Let k be 1 - s\/(-20) - (-6)\/(-12). What is the third biggest value in k, -2, 14, 4\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/28 + 18\/9. What is the second smallest value in -3\/5, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 131332120?\nAnswer: 131332123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 764 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 16. Let u = t + 8.000004. What is u rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.94094 years?\nAnswer: 0.00194094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45 and 135?\nAnswer: 6075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -33. Suppose 0 - t = 4*a. Is a\/(-4) - (-975)\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -374*r - 37049. Give w(-99).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**6 + 23*u**5 - 11*u**4 + 543*u**2 - u + 1?\nAnswer: -360*u**3 + 1380*u**2 - 264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9037 + 2674947\/296. Calculate the common denominator of -89\/74 and l.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 8:21 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 55*f = 38*f - 506 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 - 4 = 0. Let i be 14\/4 - (-1)\/f. Solve -3*t - 8 = 5*r, -2*r + i*t + 2 = -t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 13*u + 16. Let x be c(-13). Let s = -14 + x. What is the third derivative of 3*i**2 + s*i**6 - 13*i**2 + 5*i**6 wrt i?\nAnswer: 840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 3\/5*h**5 - 4\/15*h**6 + 1\/21*h**7 + 1\/3*h**3 + 0 - 9*h + 0*h**2 - 2\/3*h**4. Factor y(a).\nAnswer: 2*a*(a - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21355 + -21345. What is the closest to 1 in -3, 2\/3, 3, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2875 is divided by 178?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*p - 22, 5*b + 2 - 17 = 4*p. Let z(j) = -j**2 + 5*j + 8. Give z(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxx when three letters picked without replacement from {y: 2, p: 8, s: 2, x: 3, h: 2, j: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 equal to 3164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(576) + sqrt(576))*1)\/((sqrt(432) - 1*sqrt(432)*2) + 4*sqrt(432)*-1).\nAnswer: -6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2 - 4*h - 1. Let b = 394 - 383. Let y(f) = -14*f**2 - 21*f - 6. Give b*t(r) - 2*y(r).\nAnswer: -5*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -61, -140, -275, -484, -785?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - 4*x**3 + 4*x**2 + x**2 - 6*x**2 - x to s*x + q + w*x**2 + n*x**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**5*u + 2*k**4 - 59*k**3*u**3 + k**2*u**3 - 25*k**2*u**2 + 11*k*u**3 wrt k?\nAnswer: 120*k**2*u + 48*k - 354*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472420?\nAnswer: 2, 5, 13, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2, -6, 1.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004914282 to five dps.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 15*s - 10. What is j(-12)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.138 + -0.162. Which is the smallest value? (a) 294 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 94*h**2 + 6*h + 579. Let q = -4 + 10. What is the smallest common multiple of q and d(-94)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a kilogram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -635.46 - -26.66. Let l = b - -609. What is the third smallest value in -4, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 2 s when four letters picked without replacement from xggswwsswswgxb.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -930470793 divided by -399?\nAnswer: 2332007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, 157\/5, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 3. Let x(z) = z**2 + 2 + 2 + 2*z - 5. Let h be x(-2). Let s(q) = 1. Calculate h*s(a) + t(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + 0.27. Let z = -0.3 + 0.1. Let u = z + n. Which is smaller: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/20 - s**4\/12 - s**3\/6 - s**2. Let x be u(-1). Solve x*n + 18 + 4 = -5*b, -5*b = 2*n + 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3464 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -286.9821 - -287. Round w to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = d + 14, 5*c - 3*d - 7 = 5*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497715.\nAnswer: 3, 5, 33181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Let j = -2 - b. Let r = j - -6. Solve -r*a = -2 - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/2772*225\/250.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*o - 1222, -4*o - 2456 = -47*u + 43*u. Is u >= 607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25709, -3, -0.8?\nAnswer: 25709","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, 3\/7, -167\/465, 1\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -398111 * 2\nAnswer: -796222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1156 (base 8) to base 11.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 13 = -6. Suppose -16*j + p*j + 171 = 0. Calculate the remainder when j is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3388606 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1416 - -47584. Round c to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 2*x + 6*x. What is the remainder when x is divided by 0 + 4*(-2)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/2 - 1\/(-1). Suppose -r - x*y = 9, r + 1 = 2*r - 5*y. Let d(b) = b + 7. List the prime factors of d(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52 + 451*j**3 - 52)*(-1 + 1 - 2*j) + j**4 - j**4 - 2*j**4 to the form l*j**3 + k*j**4 + h*j + m + t*j**2 and give k.\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/8 (b) -2 (c) 6774\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.4 to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -31, -64, -107, -160?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19589079343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3423656ug in kilograms?\nAnswer: 0.0000000003423656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + n**2 + 4*n + 32. Give t(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*z + 77 = 0, -4*z + 76 = 4*g - 0*z. Calculate the remainder when g is divided by 319\/66 + (-1)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 295*w - 323*w + 140. Calculate the remainder when (-3)\/(-2)*(-12)\/(-2) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351 - 54*v**2 - 351.\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-5 - -9) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 3*i**2 - 245*i - 9. Give c(17).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 49508448749 and -144?\nAnswer: 49508448893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**8\/4480 + 3*j**7\/1120 - 3*j**6\/320 + j**5\/80 + 13*j**3\/3 + 14. Let y(v) be the third derivative of c(v). Factor y(m).\nAnswer: -3*m*(m - 4)*(m - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -16 (b) 0.41 (c) -0.1 (d) -3 (e) -1 (f) -338\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:47 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*a**2 + 711*a wrt a?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290877692?\nAnswer: 2, 7, 10388489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + 15 + 1485*l**3 - 16 - 3*l**2 - 1613*l**3 in the form h + r*l + u*l**2 + t*l**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 13*o**2 - o + 18. Let f be z(13). Solve f*j - 5*k = 15, -6*j = -j - k - 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.031702km to micrometers.\nAnswer: 7031702000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-931734)\/(-270) + (235\/75 - 3) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = -2063442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + z - 216, -3*n - 2*z + 0*z + 131 = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**5\/60 - g**3\/2 + 11*g**2\/2 - 4*g + 3. Let q(l) be the second derivative of v(l). What is q(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54187 greater than 54218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptxptrftrtpftpfoxxt. Give prob of picking 1 o, 1 f, and 2 x.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**2*x**2 - 103*f**2 + 147*x**3 + 2 wrt x.\nAnswer: 6*f**2*x + 441*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1691 is divided by 78?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -473472*r**4 + 581084?\nAnswer: -1893888*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 1\/4*z**4 + 23\/2 + 117\/4*z + 27\/4*z**3 + 97\/4*z**2 = 0.\nAnswer: -23, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 12:10 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53491 and 537.\nAnswer: 28724667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**2 + 11*b - 6. Let a be i(-9). Let r be ((-4)\/(-10))\/(10\/a). Find the third derivative of 37 - 21 - 16 - r*y**2 + y**4 wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -1\/4 in decreasing order.\nAnswer: 2, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v - 8. Let l(i) = i**2 + 4*i + 6. Does 6 divide l(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1321 is divided by 149?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3904 divided by 32\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 66*x - 2877. Calculate j(-58).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -16. Let h = 12238 + -12212. What is the remainder when h is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72.3 + -205.3. Let x = v + 133.0000955. Round x to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 - 28.2. What is q rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120 * 8.2.\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22\/55327 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4732 and 5357807?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.2312627?\nAnswer: 0.6937881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 62*k**2 + 1. Let o(l) = -22*l - 42. Let v be o(-2). Let s(b) = 4*b + 207 - 207 - 5*b + v*b. What is s(d(w))?\nAnswer: 62*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69075374 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -32*c**2 - 5*c - 6. Let z be s(-3). Let d = 890 + z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9452*b**3 + 1549*b**3 + 4174*b**3.\nAnswer: 15175*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z + 282 = 15*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16665534*r**4 + 38877922*r**2.\nAnswer: 399972816*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/25)\/(((-108)\/45)\/(-6)*25)\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343752.529 rounded to the nearest one hundred?\nAnswer: -343800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3796*68\nAnswer: 258128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 8) in base 12?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 1093.\nAnswer: 190182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/123901 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = 3*w. Suppose -2*b + 3*b = 4*z - 16, 0 = -5*b + 2*z + 10. Suppose b*k = 8 - 4. Calculate the remainder when k is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, z: 1, e: 1}. Give prob of sequence lz.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 0.3 (c) -91 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*w - 4392 = 0, -2*z + 3*w + 2214 = 6*w. Suppose 7*x - z = 4821. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 5*k - 9. Let c be q(5). Let i be (-420)\/9 - 6\/c. Let t = i + 48. Solve t = 2*x - 4*x - 5*u, 0 = -5*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10307*q**3 - 30474*q**2 wrt q?\nAnswer: -61842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/8)*x**8)\/(x\/(x*x*(x*x*x**(-9)*x*x*x)\/x)*x**(-2\/3)*x) assuming x is positive.\nAnswer: x**(91\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184774 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 787214171 divided by 1?\nAnswer: 787214171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 12*y**3 - y**2 - 91*y + 367. Determine w(4).\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**4\/24 - n**3\/6 - n**2. Let l be f(-7). What is the units digit of -6*(0 + (-4)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 1393 - 1742 = 0. What is the greatest common factor of t and 27379?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3998133 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/70 and 9\/15 + ((-717)\/(-30) - -2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:42 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 13*m**2 - 22*m - 4. Let h be o(-12). Is h > 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 + 25)\/((-4)\/(-2) - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 390 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -3) + (2 + 7 - 0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 18. Solve -3*u - 6 = -z*u, -u = l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -216 and 0.02709.\nAnswer: -5.85144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) - (-19)\/3. Suppose 0 = 3*k - 2*k - 12. Let p = 135 + -135. Solve p = -h*f + 4*f - k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.5098305 rounded to 1 dp?\nAnswer: -41.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3144)\/(-24) + (1 - 3) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -81*a**3 - 24*a**2 + 26*a - 3. Calculate w(1).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2946\/65 smaller than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g - 6. Let r be b(3). Let w = -9 + r. Suppose -x = z - 3*z + 3, w = x + 3*z - 12. Let i(a) = 3*a - 2. Calculate i(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - z + 1. Let m be l(2). Let b = 10 - m. Let g be 0 + 2*b + 2. Calculate the highest common factor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/(3*(-7)\/35).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 2386 - 1002 = 0. Calculate the remainder when j is divided by 143.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5235 by 1745.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24529 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -67*u**3 - 85*u**2 + 2742*u - 724. Let z(y) = -34*y**3 - 42*y**2 + 1372*y - 360. Let n(f) = 6*h(f) - 11*z(f). Find l, given that n(l) = 0.\nAnswer: -8, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*n - 528561 = -306*n + 1051011. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) + -2*sqrt(931) + sqrt(19) - (sqrt(171) - (sqrt(171) - (1*sqrt(171) + sqrt(171))) - sqrt(171)))**2*2.\nAnswer: -51300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1478.397 rounded to the nearest integer?\nAnswer: -1478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1+0.0096\nAnswer: -0.9904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*w - 14. Let b(n) = n + 2. Let z be b(w). Let q be 3 + 1 + 2 + z. Solve -5*s + 1 = -q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 745\/34?\nAnswer: 745\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 166. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202011002201 (base 3) to base 10.\nAnswer: 396649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 4:04 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -54\/59?\nAnswer: -54\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 61 = 4*t + 5, 4*y - 2*t - 60 = 0. Solve -y = 4*m, -3*m - 8 = -0*o - o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 0*d**2 - 70*d - 3*d**3 - 5*d**3 + 13*d**3 to the form k*d**2 + y*d + m + x*d**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637405.\nAnswer: 5, 127481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1.1, -15, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114415 or -114420?\nAnswer: -114415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11229471.\nAnswer: 3, 11, 31, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1\/d)**(2\/11)*(d**(-1))**(7\/5))**(-27) assuming d is positive.\nAnswer: d**(1809\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7035 times 3?\nAnswer: 2.1105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 1 + 0)*-3*(-4)\/(-6). Let b(k) be the third derivative of -k**6\/60 - k**5\/30 + k**4\/8 + k**3\/2 - k**2. What is the tens digit of b(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9374, -18683, -27984, -37277, -46562, -55839, -65108?\n\"Answer: 4*f**2 - 9321*f - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525176276?\nAnswer: 2, 419, 313351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 25. Let v = -7 + i. Solve 0*t**2 + 0 + v*t + 6\/5*t**5 + 4\/5*t**3 - 2*t**4 = 0 for t.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 2*f**2 - f - 4. Suppose 3*c = 5 + 7. Let r be c*1*(-8 - -9). Let j be i(r). Solve -3*q = -3*p + j, 3*q = 3*p + 2*q - 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1545 and -81924207353.\nAnswer: -81924208898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 40, 9\/4, -23, 2\/5?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c13 + -11b?\nAnswer: -3d2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11483 + -4561. What are the prime factors of l?\nAnswer: 2, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0*q**3 + 0 + 5\/6*q**4 + 3*q + 0*q**2. Let h(k) = k**2. Calculate h(z(n)).\nAnswer: 100*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - -2004124322?\nAnswer: 2004124400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s = 5*q - 31, -3*s = -5*q + 3. Let h be (4\/8)\/(q\/420). Suppose 0 = 2*b + 3*b - h. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 551, 1486, 2797, 4490, 6571?\nAnswer: 9046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkknknkkkk. What is prob of picking 4 k?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1557827)\/(-249))\/(4\/36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 12*f**2 - 2*f - 9. Let q be l(-12). Let h = q - -69. What is the highest common factor of h and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**9*q**3\/q*q)\/(((q\/q**(-3\/4)*q)\/q)\/q*q\/q**(-5\/3)) assuming q is positive.\nAnswer: q**(115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 0*n + 31 = 1733*k - 1730*k, 4*n + 60 = -4*k for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 491200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 54 = -5*v - 10, -48 = -3*v - 3*a. What is the lowest common multiple of v and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5354.\nAnswer: 2, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2084559.3 to the nearest ten thousand.\nAnswer: 2080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -31.95. Let j = -0.05 - q. Let g be (2\/(-2))\/((-1)\/5). Which is the nearest to -1\/4? (a) j (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:40 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.8 (c) 3 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 436*x**7\/7 - 2*x**3\/3 - 14*x + 528. What is the third derivative of b(z) wrt z?\nAnswer: 52320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 11*l**2 - 11*l + 5. Let y be s(-12). Is y > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-4)*(-102)\/9. Let p = l + 12. Let m = 30 - p. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732800 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from dmhh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40555213871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 11*s**2 - 11*s + 12. Let i be a(10). Suppose -2*y + 5*x - i + 12 = 0, 5*y + 4*x + 8 = 0. Factor y*o - 2\/3*o**2 + 2\/3.\nAnswer: -2*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 1 + 46 + 25 - u**3 - 1 + 1 + (0*u**2 - 2*u**2 + 0*u**2)*(-2*u - 3*u + 3*u).\nAnswer: 4*u**3 + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 10. Let r = -31 - -16. Let z be v(r). Let o(d) = 4*d + z*d - 4*d - 4*d. Let i(h) = 8*h. Give o(i(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -233 (base 6) to base 14\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 18*h**2 + 3*h - 8. Let l(x) = 3*x + 20. Let d be l(-9). Is a(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 54*i - 84*i - i**3 - 11 + 49*i + 7*i**2. Let u be t(9). What is the third smallest value in -67, u, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 16*n**2 + 11*n - 78. Let a be o(14). Suppose -36*b + a = -108. Let 20\/3*u**2 + 0 - 2\/3*u**5 - 20\/3*u**4 - b*u**3 + 50\/3*u = 0. Calculate u.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11612053523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31003231 + -11?\nAnswer: 31003220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 332\/331, -0.3, 40 in decreasing order.\nAnswer: 40, 332\/331, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.83507ug to grams.\nAnswer: 0.00001183507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d8 - 128?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982 is divided by 489.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 16*c**3 + 658*c**2 + 91*c - 190. Give q(-41).\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t. Suppose t = -0*z + 5*z - 50. Let a = -3 + z. Calculate the remainder when 19 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 10:16 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 9 - (1 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1*(-3924)\/(-8))\/(24\/64).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773 less than -14?\nAnswer: -787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 6. Let p(x) = -x + 1. Let m(u) = a(u) + 3*p(u). Let j be m(-4). Suppose -14*g + j*g + 20 = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-873)\/(-194)*(-2)\/162?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1449.\nAnswer: -7245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - j - 40 + 22 - 43 + 4*j. Let u(h) = 6*h. Determine y(u(c)).\nAnswer: 12*c - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 5 - 58*n - 54*n.\nAnswer: -112*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4509*o + 968. Let f(h) = -2*h. Calculate b(f(q)).\nAnswer: -9018*q + 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139 - 123. Solve -2*q - 1 = -5*b - 25, o = -2*q - 5*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 18*a - 73. Let y be c(-7). Let q be (-4)\/10 + 24\/(-15). Let d be 0 + (0 - q\/(-10)). What is the nearest to 2\/3 in y, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b1a (base 12) to base 8\nAnswer: 3106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (1 + -48) - (-894 + 905)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654940784?\nAnswer: 2, 40933799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 11*r**2 - r + 12. Let m be h(11). Let d be 41 - (m - 1)\/(-1). Suppose a = 5*f - d - 50, -2*a - 3*f = 130. What is a rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + 82 + (-2 - 2) - (0 + -18).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0197*1790.\nAnswer: -35.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/46, -4, -44.6?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 131 - (-18 - (-69 - 159))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 5:06 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-5)\/20 + 2\/(-8)). Let m be (((-384)\/30)\/4)\/(o\/(-35)). What is the highest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -165913, -14?\nAnswer: -165913","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10703949 times 0.1?\nAnswer: -1070394.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1443 - 1415. Which is the second biggest value? (a) 0.5 (b) 3 (c) j (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 49. Suppose -2*p - x = -7. Let b be ((1 - 28\/(-8))*p)\/(-1). Solve 2*q + 15 = -5*h + 5*q, 3*h - 2*q = -b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/24 + 10 - 433\/29.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/25? (a) 4 (b) -10 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 841593 rounded to the nearest one thousand?\nAnswer: 842000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 340843*o**2 + 76045*o wrt o?\nAnswer: 681686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8502 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 4:56 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3\/2 + 2873*n**2\/2 + 92631*n = 0.\nAnswer: -2807, -66, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5240 and 860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*v**2*w**4 - 3*v**2 - 17 wrt w.\nAnswer: -124*v**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 5*m**3 - 6*m**3 + 2*m**3.\nAnswer: m**3 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 567527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5856 divided by 250.\nAnswer: 2928\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 5 + 12)*(38 - 29 + 6*h - 11*h)*(3 - 11 + 2)*(3*h + 0*h - h) to the form f*h + v*h**2 + b and give v.\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11200112200002 - 10?\nAnswer: 11200112122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15081?\nAnswer: 3, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*q - 2*y, -q + y = -9 + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 3.667362.\nAnswer: 0.7334724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in 5, 5\/2, -4.3, -0.5?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -b - 33, b + 3*b = d - 27. Let y = b + 17. Solve n - 3*s - y = -3, -3*s - 3 = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 10*t + 16. Calculate f(15).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 2. Is 5 a factor of h\/(-5) + (-126)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*q - q**2 + 69 - 69 to y + v*q + d*q**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21640, -21650, -21662, -21676, -21692, -21710?\n\"Answer: -x**2 - 7*x - 21632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36698*l - 22 = 36692*l + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 1. Let s(u) = 3*u**2 - 6 + 2 + u + 4*u**2 - 4*u**2. Let f(a) = a**2 - 6*a + 6. Let p be f(4). Determine p*s(n) + 7*y(n).\nAnswer: n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + -188)*((-14)\/((-714)\/425) + -8)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -237*a**3 - 741 with respect to a.\nAnswer: -711*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j + 259 - 280 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-13)\/26)\/(8\/(-1248))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58373942.4 rounded to the nearest one thousand?\nAnswer: -58374000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-7*y + 27*y - 4*y + (-3*y - 3*y + 4*y)*(-2 + 0 + 0))*(-6*y**4 + 26*y**4 - 11*y**4).\nAnswer: 360*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(2\/(-5 + 3)). Suppose 0 = -2*d + 2*w + 22, -m*w - 3 = -5*d + 49. Suppose -3*c + 215 = -2*o, d*o = 5*o - 5. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, n: 1, a: 11}. What is prob of sequence aa?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.031, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*l = 258*l - 63 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 331962 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5 - 15. Let w(z) = z**3 + 4 - 68*z + 70*z + 2*z**2 + 3*z**2. Calculate w(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 2*k - 2, -723 = -5*z - k - 729 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f\/(f\/(f\/f**6)))**(-48)\/(f**(-3\/2)*f**(2\/15)*f*(((f**(1\/3)*f*f*f)\/f)\/f)\/(f*f**(-2\/9)*f)) assuming f is positive.\nAnswer: f**(20233\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -i - 3*g + 9, 3*i + 4*g - 27 = 0. Suppose -i*d + 3 = -12. Suppose -4*j + d*o + 15 = 0, 0*j - j + 5*o = -25. Solve j = 3*w - 6*w - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bocc when four letters picked without replacement from {g: 2, h: 1, o: 2, c: 3, b: 1, u: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 6. Suppose -3 = 3*j, -5*k + 0*j = 2*j + 102. Let g be 4 - 2 - (-6)\/((-24)\/k). Give o(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 0*x - 4*x + 2*x. Let j(u) be the second derivative of u**6\/360 - u**3\/3 - 2*u. Let c(q) be the second derivative of j(q). Calculate c(o(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08890933 + -0.0889. What is d rounded to 7 dps?\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19720*x**3 - 24594.\nAnswer: -59160*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 4. Let f be b(-5). Let z(y) = -y**3 - 5*y**2 - 26*y - 25. Let g be z(-4). What is the highest common divisor of g and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1149248612 to the nearest integer?\nAnswer: 33901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*((-16)\/(-20))\/(-2)*2785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -662*c - 3970. Calculate b(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/o**(-1)*o)\/o)\/o)**20\/(o**(1\/3))**(-43))\/(o\/(o\/(o\/((o*o*o*((o*o**(-1))\/o)\/o)\/o)))*o*o**(-4\/3))**(3\/8) assuming o is positive.\nAnswer: o**(649\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1553*b = -313*b - 31722 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by -27095\nAnswer: -119\/27095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 66597370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 16*l + 110 = 0. Calculate the remainder when l is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 45.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28711 divided by -45.\nAnswer: -28711\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210*d - 599 + 1190 - 593)*(3 + 1 + 2).\nAnswer: 1260*d - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -181*z - 1439. What is the thousands digit of t(-50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1, 3\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2285*y**3. Let v be q(-2). Suppose -6*x + v = -2*x. What is x rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 3*s + 3*s**3 - 2*s**3 - 3*s**2 - 4. Let u be c(4). Find the first derivative of x**2 + u*x**2 - 3*x**2 - 1 wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 2*w**2 + 14*w + 3. Calculate h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295097*g + 65046 = 294511*g for g.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 9\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1659 - 963. Calculate the greatest common divisor of z and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 2, r: 1, p: 1, f: 2}. Give prob of picking 1 p, 1 w, and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10323 and 185?\nAnswer: 51615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(6)*3) + sqrt(13) + sqrt(156)\/sqrt(3) + 1)**2 - (sqrt(52) + sqrt(520)\/(-3*sqrt(10)))\/((sqrt(4)*-2 + sqrt(4))*2).\nAnswer: 7*sqrt(13) + 1309\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s = 5*g - 38, -5*s = -2*g + 2. Let h = -5 - -6. Let p be 10\/g - h - 2. Which is the second smallest value? (a) p (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**5 + 14*z**4\/3 - 20*z**3\/3 - 20*z**2\/3 + 14*z\/3 + 2 = 0.\nAnswer: -3, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -120011220221 (base 3) to base 4\nAnswer: -1020331102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -45558.\nAnswer: -45558, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 6042503\nAnswer: -3021251.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75007469347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*f - 3 + 39, 3*f = 2*w - 11. Let z be (128\/w)\/(14\/35). Let a be (-7)\/6 - (-16)\/z. What is the nearest to 2\/7 in a, 2\/15, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.227 and -0.3.\nAnswer: -0.0681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -472.459783 rounded to 2 dps?\nAnswer: -472.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80\/(-16) + (850 - 1) is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 977*c**2 - 11*c - 10. List the prime factors of s(-1).\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**2\/5 + 5974*t\/5 + 23816 = 0.\nAnswer: -5954, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 11*p - 3. Let z be q(3). Is z\/4 - 8\/16 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -1.7.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3540*n**3 - 8*n**2 - 33*n + 39. What is the hundreds digit of i(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-77175)\/(-28))\/(3\/(-40)). Let b be 2\/((-8)\/q)*1488\/9. What is b rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k + 2. Suppose -3 = -3*i + k*i. Let h be i\/(-1) - 13\/(-4). Which is the biggest value? (a) h (b) -0.1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20788 - 2592 + 5451 = -173*u - 48*u for u.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 10*v**2 - 2*v - 8. Let c = 25 - 35. List the prime factors of o(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**1*w)\/(w**1*w*w))\/(((w**(-5)*w)\/w)\/((w\/(w\/(w*w\/(w*w\/w**(-1)*w*w))))\/w*w)))\/(w\/(w*w**7*w)*w*w*w**2*(w**(1\/3)\/w)**11) assuming w is positive.\nAnswer: w**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 119 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 597911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.247 - -0.147. What is the third smallest value in h, -0.2, 4, -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i. Let y(k) be the third derivative of -2105*k**4\/24 - 15*k**2 - 4*k + 9. What is y(l(d))?\nAnswer: -6315*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -346112 (base 7) to base 10.\nAnswer: -62141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*u + 546 = 0, -2*u + 0*u = 5*c - 669. Suppose 65*m + 4 = 66*m, 4*m = -i + 62. What is the remainder when c is divided by i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4 - 6*l**2 + 5*l + 3*l**2 + 4*l**2. Suppose -10*s + 12*s + 12 = 0. Let u be m(s). Round u to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**4\/6 - 5*j**3\/3 + 6*j**2 - 30*j. Solve l(m) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/5)*a)**(-43)*a**(-4)*a**4\/a*a)\/(((a**5*a)\/a**(-7\/5))\/(a**(3\/5)\/(a\/a**3))) assuming a is positive.\nAnswer: a**(-368\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 131 divided by 5\nAnswer: 131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/20)\/((-266)\/4256)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2. Let u(c) = 28*c**2 + 2400*c - 87. Let l(w) = -13*w**2 - 1201*w + 40. Let t(x) = -13*l(x) - 6*u(x). What is t(f(b))?\nAnswer: b**4 - 1213*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 - 68*w\/9 - 110.\nAnswer: 2*(w - 45)*(w + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 2*z + 4*z)*(-z**3 + 4*z**3 - 2*z**3) + 2*z**4 - z**4 - 2*z**4 - z**3 - 3*z**3 - 24*z**4 + 21*z**4.\nAnswer: -5*z**4 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 6*t**2 - t - 5. Let h = -8 + 15. Is w(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*a - 130 - 149*a + 79*a in the form v + p*a and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2 - m + 13. Let o(n) = 2*n**2 + 7. Let z(c) = 6*a(c) - 11*o(c). List the prime factors of z(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*q - 5*q + 6, 5*q - 4*o - 1 = 0. Which is bigger: q or -14?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -289 - -297. Solve -4*c + o = 5*x, -5*c + 5 = 5*x - 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*s - 7*s + 26, 5*s = -4*m + 29. Suppose 3*a - s = 4. Differentiate -9 - 2 + 23*n**a - 12 + 4 with respect to n.\nAnswer: 69*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -121 + 743. Suppose 4*b = j - 602. Solve b*w + 29 = 39 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**5\/60 - 16*g**3\/3 + 8. Let s(c) be the third derivative of f(c). Let u(i) = -6*i. Calculate s(u(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from ijdphpl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 4.732304.\nAnswer: 14.196912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -5, 400, -20, 3, 0 in descending order.\nAnswer: 400, 3, 1, 0, -5, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*v**2 + 45*v**3 - 113*v**2 - 28*v**3 + 61 + 229*v**2 - 2*v in the form r*v + o*v**2 + y + t*v**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.25 rounded to zero decimal places?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/325)\/((-29)\/(-580))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 120 in -2, -0.3, -1\/3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f**2 + 5*f + 231. Give g(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 14*f - 5*a - 28360, -22679 = -4*f + a. Let j = 8028 - f. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 240244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47691, -95379, -143067, -190755?\n\"Answer: -47688*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 2303?\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -0.4 (c) -56.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 49*x**2 - 25*x + 15. Give y(25).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**2 + s - 4. Let d(v) = -2*v**2 - 2. Let c = -1053 + 1046. Determine c*d(u) + 3*g(u).\nAnswer: -u**2 + 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + -40. Let p = o + 74. Let s be (1 - (1 - 0))\/1. Solve 0 = 5*y + 2*i - 7 - 9, -5*y + 4*i + p = s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -88725, -88492, -88259, -88026, -87793?\n\"Answer: 233*k - 88958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -5, 2, -66, -1 in descending order.\nAnswer: 2, -3\/7, -1, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7 - 10*k**2 + 7 + 12*k**2. Let m(u) = -155*u**2. Give m(c(l)).\nAnswer: -620*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152 - 148. Suppose 2*a = x*l + 1868 - 5238, -4*a - 4205 = -5*l. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + 11. What is the highest common divisor of d and 424?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -7\/2 (b) 7 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 7*v**2 - 2*v + 9. Let f be s(-7). Suppose -5*u + f = -7. Let o = u + -3. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**(2\/7)*k)))\/(k*k**(-1\/3))*k**6\/(k*k\/((k*k**2)\/k*k)))**18 assuming k is positive.\nAnswer: k**(960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3)**(-16)*b**(-5)*b**(-1\/7) assuming b is positive.\nAnswer: b**(-372\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6.1943922ns?\nAnswer: 0.0000000000017206645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 1, 6, -1046, -4.\nAnswer: -1046, -4, 1, 6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1533529396 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 25\/2 of a second?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 198.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -13, -14, -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60016?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13190, -5\/3, 11.1.\nAnswer: -5\/3, 11.1, 13190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 834457.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1625\/4 + (-2)\/8. Let n = k - 3658\/9. Which is the third smallest value? (a) n (b) 2\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4634*b - 73. Let j(p) = 463*p - 7. Determine -2*d(h) + 21*j(h).\nAnswer: 455*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30266)\/(-370) - 96)*5?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-154))\/(3*(-2)\/210*5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s. Let p(c) = -c. Suppose 5*b = -6 + 1. Let i(n) = -7*n - 2*n + n. Let w(z) = b*i(z) + 10*p(z). Determine w(k(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, h: 10, f: 7}. What is prob of picking 1 h and 1 f?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1159 (c) 4 (d) -331\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 12 = -2*m. Let l be 69\/m + 1\/(-4). Suppose -2*o = 4*g - 8 - 52, -2*g + 54 = -5*o. What is the greatest common factor of g and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l**3 - 14*l**2*t*y**2 + 119*l**2*y**3 + 86*l*t - 89*l*y**3 - l*y - 4*l - 3*y**3 - 2*y wrt l?\nAnswer: 30*l - 28*t*y**2 + 238*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6*j + 10 = 0. Suppose -6*n = -13*n + 56. Suppose 0 = -n*v + v. Solve -3*o = -j*o - i - 4, v = -2*o + 3*i - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 985*m**2 - 957*m**2 + 4 - 2*m**3 + 0 - 8 to u*m + l*m**3 + x*m**2 + b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 + -233. Let x = -116 - l. Differentiate -26 + 0*p - x*p + 36*p with respect to p.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(4074\/(-35) - 4). Let o = h + 602. Is o bigger than 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i + 0*i)*(0*i**3 + 4*i**3 + 0*i**3) - 2*i**4 - 6*i + 6*i.\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 40597 - 2*u**2 + 4*u**2 - 40600 + 65*u**3.\nAnswer: 65*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*u**2 + 3*k**2*u + 13815*k**2 + 12*k*u**2 + 5*u**2 - 1202*u wrt k.\nAnswer: -2*u**2 + 6*u + 27630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*p + 155, -x - 161 = -6*x + p. Suppose 14*o = -18 + x. Which is the nearest to -0.2? (a) o (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*q = 173*q + 222. Let n = q - -90. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/806 and -10\/143.\nAnswer: 8866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89.00000109 + 89. Round j to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 862*-15.\nAnswer: -12930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*a**5 - 5685*a**4 + 237395*a**3 - 3223835*a**2 - 2229200*a - 376000 = 0.\nAnswer: -1\/3, 40, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -223503.886 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 + 3 = 2*d, -2*q + 5 = d. What is the third derivative of -35*t - d*t**5 + 35*t - 4*t**2 wrt t?\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-137)\/(-20) - (-2592)\/(-1152))*(-10)\/(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31460 and 9620?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107431 - 34?\nAnswer: -107465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2894 + 2892 - 5786 - 16*r**3.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + p**2 + 4*p + 15. Give g(7).\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/(f\/(f\/f**(-1\/6))))\/((f**5\/f)\/f*f))\/(f*f\/f**(-12)*f**(-1\/2)))**(-1\/2) assuming f is positive.\nAnswer: f**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(38)\/sqrt(2))**2*2.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18673226?\nAnswer: 2, 11, 13, 109, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -642316.9 + 642318.5000001. Let z = 1.6 - x. What is z rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (713*v + 1115*v - 123*v)*(3 - 1 - 1)*(0*v - 3*v**2 + 0*v) - 4 + v**3 + 4.\nAnswer: -5114*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4036273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -40, -53, -72, -97?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1263*h = -6363*h + 983754 for h.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 - -0.1. Suppose 107 = i - 12. Let q = 593\/5 - i. What is the nearest to m in 1, q, 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1734 and 25518.\nAnswer: 7374702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - (5 + -4 - 7))*11. Suppose 400 - 389 = m*a. Calculate the remainder when 1 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59107? (a) -2 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 1*1*sqrt(2299) + sqrt(2299) + sqrt(2299))**2*3 - 6*(sqrt(684)*1*-6 + sqrt(684)).\nAnswer: 180*sqrt(19) + 110352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3382 (b) 1\/9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3664 divided by -1.\nAnswer: 3664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(320)*2)**2 + (sqrt(320) - (-3*-2*sqrt(320))**2).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -910*u = -908*u - 10. Let t = 6 - 4. Suppose u*i - a = 9 + 2, -i = t*a. Solve c + 5*q = -19, 5*c - i*q + 9 = -5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -11*z + 4*k - 19, -13 = -3*z - k. Let p(x) be the first derivative of -1\/4*x**4 - 4\/3*x**z + 0*x**2 - 3*x - 6. Determine p(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 34*o**2 - 2*o. Let k be g(-2). Let f = 380 - k. Suppose 5*w = w + f. Round w to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4376470017.\nAnswer: 3, 1458823339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 12414?\nAnswer: -5\/12414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19750894 <= 19750894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 31. Let i = 8 - l. Suppose 111 = 4*z - 4*v + 7*v, 4*v = 4. Calculate the least common multiple of z and i.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/367 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2904, -5804, -8712, -11634, -14576?\n\"Answer: -p**3 + 2*p**2 - 2899*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 2*l**2 - 6. Let u be d(3). Solve 3*h + 13 = -4*k, 0*h - 4*k + 5 = -u*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109314*l**4 + 176906*l wrt l.\nAnswer: -1311768*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123289*r**2 + 272339.\nAnswer: 246578*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus -29.62014911?\nAnswer: -39.62014911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -33 (b) -3\/4 (c) 0.5 (d) 0.2 (e) 119\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.002 - -0.006. Round o to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 + 1 = 0. Let o = i + 5. Solve -22 - o = -5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 4:10 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (9520\/(-1088))\/(10\/(-32))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s - 7. Let p be b(3). Suppose p*m = 8*m - 6. Suppose -m*q = -10, o + 2*q = 4*o - 161. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/3 + 52*k**3\/3 + 382*k**2\/3 + 812*k\/3 + 160 = 0. What is k?\nAnswer: -15, -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 14 = 4*t, -t + 5 = 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40743 = -2732*y - 22093 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11*j + 6. Suppose -2*t - 3*p + 117 = 2*t, 4*p + 152 = 4*t. Let u = -6 + t. Calculate the remainder when b(9) is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 1696230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-6))**(-1) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66281119 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7076, 7073, 7068, 7061, 7052, 7041?\nAnswer: 7028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**4 + 500*a**3 + 14848*a**2 - 49152*a = 0 for a.\nAnswer: -64, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 98, 80, 62, 44, 26, 8?\n\"Answer: -18*z + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 163 + 187. Suppose -194*w + k = -189*w. Solve -z = -2*n - 9, -2*z + 17 + 6 = -w*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 82. Let c(o) = 2*o**2 + 10*o - 7. Let h be c(-5). Is n\/15*(h - -2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-4 + -2 - -12) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-96)*(-2805)\/(-1122)*(-8)\/10.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.1, -8, 3, 18.28 in descending order.\nAnswer: 18.28, 6.1, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -0.1, -0.009?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/5 + 1306*r**4\/5 - 211232*r**3\/5 - 645496*r**2\/5 - 5248*r\/5 + 860672\/5 = 0. Calculate r.\nAnswer: -2, 1, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9904\/67, 2\/17 in decreasing order.\nAnswer: 9904\/67, 5, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1a?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1020.13 + -1020. What is the third smallest value in 27, 2\/3, g?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3175*o**3 - 14*o + 7163. Let k(z) = -6349*z**3 + 35*z - 14326. Let u(q) = -2*k(q) - 5*n(q). What is the first derivative of u(c) wrt c?\nAnswer: -9531*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 5*c + 5. Let p be k(5). Put -5, p, 2 in ascending order.\nAnswer: -5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17743*q + 660897 - 1956136 = 0 for q.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 369 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234 - -3?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*w - 12, -16*w + 18*w = 7*p - 110. Solve -29*o + 161 = p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let k(a) = -a**3 + a**2 - a + 16. Calculate the least common multiple of k(y) and ((-5)\/4)\/(((-406)\/(-224))\/(-29)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/100265 and 71\/495.\nAnswer: 902385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06999394 - 0.07. What is a rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5086602 by -3.\nAnswer: -1695534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -31*b - 251. Let c be p(-6). Sort -3, c, 4, 0 in ascending order.\nAnswer: c, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*f - 2925 - 2507 - 4604 = 0 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1450*a + 271817 = 160*a + 174*a + 855*a for a.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21215446?\nAnswer: 2, 7, 1163, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -9*m - 90. Suppose -3*i = -3*k - 0*i + m, 3*k = -4*i + 4. Suppose 54 - 19 = x - t, -k*t + 10 = x. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -200, -402, -604, -806, -1008, -1210?\n\"Answer: -202*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -321315*c - 642633. Determine n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - (-21 - -10)) + (0 - 0) + -6.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8411581 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 8309.0813506\nAnswer: 8301.0813506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*((g\/(g\/g**(-10)))\/g)\/g*g**(-2\/5))\/(g*g\/(g**(1\/14)*g*g*g)*g**(-2\/25)) assuming g is positive.\nAnswer: g**(-3237\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -625768, 3, -2, -3\/7, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 865459122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*h = -668 + 527 - 624 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000017836966395 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-410)\/205)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 9*a + 139635 = 685515. List the prime factors of a.\nAnswer: 5, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112902 by -77.\nAnswer: -112902\/77","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 - 154. Which is the closest to 2\/9? (a) d (b) -0.7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 1 = -r - 11, 2*r + 5*t = -12. Suppose 0 = -5*l + r*l + 2. Suppose 4*k + 0*f = l*f + 54, 5*k - 30 = -5*f. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1350 (base 7) to base 4\nAnswer: -20031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d**(-13)*d*d**(6\/17)*d**(-25))**(10\/13) assuming d is positive.\nAnswer: d**(-5890\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/85 (b) 4371\/10 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 3, 4779, -126 in descending order.\nAnswer: 4779, 3, 0, -5, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**(-2\/7) assuming w is positive.\nAnswer: w**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 178\/7. Let h be (26\/(-8) - (-16)\/64)\/(-3). Suppose 5*s = -4*j + 4, -s - h = -5. Which is the second biggest value? (a) 3 (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12660?\nAnswer: 2, 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 10*x**2 + x - 9. Let k(r) = -r**3 + 11*r**2 + 7. Let s be k(11). Let v(w) = -w**2 + 7*w + 10. Let z be v(s). What is p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33279990 divided by 3327999\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 4. What is v(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.206? (a) 2 (b) 17 (c) 1 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -72*j + 235. Determine x(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67 + -7?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 270 + 110 = 0. Let w = 84 - b. Solve 3*p + 2*t = w*p + 8, -2*p + 2*t = 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 9*w - 5. Let o be j(-5). Solve -2*m = 5*s + 11 - o, 2*s + 5*m = 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029001921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3024.18 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -31 + 7. List the prime factors of (-175)\/(-6) - (-4)\/b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 176 = -10*a. Suppose 18*d - a*d = 2292. Suppose 10*r - d = 4*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*a + a - a)*(3*a + 13*a**4 - 8*a**4 - 4*a**4).\nAnswer: 14*a**5 + 42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:02 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 593634407 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i. Let k(l) = -4*l. Let w(t) = -6*k(t) - 5*v(t). Let c(d) = 3*d**2 - 23. Give c(w(g)).\nAnswer: 3*g**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -33 (c) 20 (d) 0.46 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 428 (b) -1\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(91) + (sqrt(91) + -2*sqrt(91) + sqrt(91))*2)*-5)\/(sqrt(847) + 4*2*sqrt(847))*1)**2.\nAnswer: 1300\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51177, 51207, 51239, 51267, 51285?\nAnswer: 51287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u - 6. Let s = 40 + -34. List the prime factors of d(s).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 16*x - 2. Calculate the remainder when y(6) is divided by 51 + 3600\/(-192) + 51\/(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 2*y - 110. Let t(b) = b**2 + b + 3. Let z(h) = c(h) - t(h). Give z(0).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 97 - 23 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -144*g. Let t(i) = 2*i. Determine o(t(n)).\nAnswer: -288*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2 + 25000*z - 14201125 = 0.\nAnswer: -5515, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -3.81.\nAnswer: 11.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**0\/v*v**11\/v*v*v*v)\/((v**9*v)\/v**15) assuming v is positive.\nAnswer: v**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 3456.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2, d + 4*a - 12 = -3*d. Solve 0 = d*c + 2*u - 6, -5*u - 31 = -4*c - 2*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464*f + 466*f + 1538 = 0. Let b = 772 + f. Solve -b*l = 3*l - 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a tonne in kilograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2098283.08200392 + 2098283. Let a = n + 0.082. What is a rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122011100 + 220?\nAnswer: -122010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75940624 to the nearest integer?\nAnswer: 8714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*m**4*w**2 + 2*d**3*m**2*w**2 + 2*d**3*w + 4*d**2*m**2*w**2 - 5*d*m**2 - 1141*m**4*w - 22*m**2*w wrt m.\nAnswer: 48*d**3*m*w**2 - 27384*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/5, -1\/62, 3.1, 3\/2, 0.04?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwrl when four letters picked without replacement from {l: 2, r: 2, w: 1, z: 1, j: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 7*h - 40 = 0. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j**2 + 6*j + 14. Calculate i(-4).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -96*a + 2. Let k(s) = 16*s - 12. Calculate q(k(t)).\nAnswer: -1536*t + 1154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - -1 - 3 - -191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9014*s - 40 = 9024*s. Which is the smallest value? (a) s (b) -5\/379 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 4, c: 1, m: 1, r: 2}. Give prob of picking 1 m and 1 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-266)\/(-133))\/((-6)\/33).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -155.9 + 156. Let p = -0.04 - 1.96. Which is the nearest to g? (a) p (b) 2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/90)\/((-3750)\/450))\/(3\/5)?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 12*m**2 - 66*m - 51. Suppose 0*v + 4*v - 8 = 0. Let j(c) = 4 - 5*c - c**v + 2*c**2 - 8. Let g(n) = 27*j(n) - 2*o(n). Find d, given that g(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 19540*c - 1719520. Give i(88).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79842211*c**2 + 79842718*c**2 + 3*c + c - 13101*c**3 wrt c.\nAnswer: -78606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -21 + 35 + -23 + (-13)\/(-1). Factor -20\/3*a**3 + 361\/6 + 1\/6*a**z + 73*a**2 - 380\/3*a.\nAnswer: (a - 19)**2*(a - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73500 <= 612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 6*r + 44569938. Let j = 2143350 - r. Let l be j\/10 - (-4)\/10. What is l rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:53 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 36\/75*(-13050)\/7830\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssbsssmbbsssb. Give prob of picking 1 m and 2 b.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1931 - 4.\nAnswer: 1927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(245) + sqrt(245) + -3 + (sqrt(245) - (1 + sqrt(245) + -1)) + -5)**2.\nAnswer: -308*sqrt(5) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 26*i**3 - 14*i**2 - 286*i - 10. Let n(y) = -13*y**3 + 8*y**2 + 144*y + 6. Give 4*m(s) + 7*n(s).\nAnswer: 13*s**3 - 136*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 - -91. Sort 0.03, -0.02, r in descending order.\nAnswer: r, 0.03, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - k - 2)*(17308125*k - 17308123*k - 2140*k**2 + 2 - 4) to the form a*k**3 + c + r*k**2 + z*k and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 16*m**2 - 13*m - 48. Calculate f(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 124973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -3. Let w = c + 22. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -2*r + r**2 - 1\/6*r**3 + 0 - 1\/12*r**4. Find l such that f(l) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**4\/4 - 2*j**3 - 3*j**2 + 8. Let z be k(-5). Suppose z*h = -3*h + 4664. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3*y**2 + 1)*(y - 2*y + 2*y) + 3 - y**3 + 2*y**3 + 0 as k + g*y + d*y**2 + u*y**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**5\/5 + 21*m**4\/2 - 94*m**3\/3 - 2*m - 2023. Find the third derivative of a(l) wrt l.\nAnswer: -24*l + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-1 - -2) + -12 + -1 + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/16 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -15. Suppose 0*r - r + 142 = -4*b, -2*r + 272 = -4*b. Let m = -1168\/9 + r. What is the second smallest value in 0, a, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 648783 and 17001.\nAnswer: 1225551087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 602 and 2494?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f + 3*f - 32. Suppose -3*s + 114 = -4*b, -s + 38 = -f*b - b. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1544d1 (base 16) to base 15.\nAnswer: -1c7eed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 15226397\nAnswer: 15226382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1420*y*z**2 + 30*z**2 - 3 wrt y?\nAnswer: 1420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 129, 739, 1823, 3381?\n\"Answer: 237*h**2 - 101*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2, -4, -1\/22, 2\/7 in decreasing order.\nAnswer: 2, 1\/2, 2\/7, -1\/22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 188740291841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-11 + (-5 - -2) + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -505 + 2085. Let i = j - 175. Suppose -2*o + 95 = 3*k, 6*k - o = k + i. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 2.4. Let a = 111 - 112.65. Let f = a - k. What is f rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) -2\/15 (c) 5 (d) 19 (e) -1 (f) -63\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3521 = 4*u, 0 + 3 = -3*n. Is 29 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - (3 + 558\/6). Round y to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**2. Let w(q) = -2*q - 9. Let n be w(-4). What is c(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -2\/939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 968\/15 - 6\/5*w**3 - 388\/15*w**2 - 2002\/15*w.\nAnswer: -2*(w + 11)**2*(9*w - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2666, 10622, 23832, 42272, 65918, 94746, 128732, 167852?\nAnswer: 212082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x + 8. Suppose 41 + 3 = 11*a. Suppose 0 = a*g + 19*r - 17*r + 14, r = 3*g + 23. What is d(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 - 34 - 16 - g**3 + 5*g**3 in the form r*g**3 + b + o*g + q*g**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -7 (c) 1\/13 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6 = 14. Suppose -2*q - 34 = -z*s, s + 2*q - 8 = -2*s. Let c be -1*s\/(-9)*(-3)\/7. Sort -8, c, -0.1.\nAnswer: -8, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240028?\nAnswer: 2, 23, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 921.8595 centuries?\nAnswer: 9218.595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69375.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 15, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29893 and 1253.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -11. Suppose 2*g + 76 = -3*g + d*i, 3*i = 12. Is (-97)\/(-4) + 3\/g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 + -69. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/4465 + -3262845\/1786. Let b = -1829 - d. Calculate the common denominator of b and -103\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 5:42 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24760 = -1327*m + 748*m - 4373*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -40.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1650\nAnswer: -1\/330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2115 and 7708.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 236747573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k - 107 = 463 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*j**4 + 102 + 37 + 36*j**4 - 77*j**4 with respect to j.\nAnswer: -272*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 18\/20113 (b) -1\/7 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -7 - (240 - 255 - (9 - 0)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -6. Let c be (-42)\/4*16\/(-24). Solve -y*t = -c - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3748863997718.5 - 0.18?\nAnswer: -3748863997718.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7798664477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - m + m)*(56*m**3 + 56*m**3 + 9*m**2 - 10*m - 113*m**3) in the form g + r*m + p*m**2 + d*m**4 + h*m**3 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31c607 (base 14) to base 8.\nAnswer: -6334757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*m - 80 = 0, 37*q + 56 = 970*m - 971*m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6068153 to the power of 1\/2, to the nearest integer?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 125 + 87 - 6*z - 4*z + 0*z - 69. Let q be i(10). Which is the second smallest value? (a) q (b) 0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-140)\/189)\/5)\/(-2)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, w: 1, f: 1, j: 1, x: 2, p: 1}. Give prob of picking 1 x and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 16*x + 71. Let a be k(-11). Let l be ((-12)\/40)\/((-3)\/a)*10. Solve 10 = 5*u, 0*u + 2*u = l*b - 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21933756 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 313838 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -2\/13 (c) 0.09 (d) -3\/164 (e) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -51, -65, -85, -111?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5\/767119 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 17*v**3 - 3*v**2 + 14*v - 25. Let h(s) = 31*s**3 - 5*s**2 + 26*s - 47. Let z(l) = 6*h(l) - 11*n(l). Determine z(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467 = -14*w + 467. Sort 2, -53, -1, w.\nAnswer: -53, -1, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 67399, 134369, 200487, 265327, 328463?\n\"Answer: -71*s**3 + 67467*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -20, -12, 8, 40?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(((n*n**0)\/n*n*n)\/n)\/n)**(-19)*(n*n**(-1)*n)\/(n\/(n\/n**(-2\/3))) assuming n is positive.\nAnswer: n**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*y = 3762 + 552 + 2770 for y.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 12*u + 19. Let w be i(-14). Suppose 19 + w = 3*g. Suppose 6*x + 0*x - 30 = 0. Calculate the remainder when g is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14695 - -8.1084?\nAnswer: 7.96145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 418.5286591 rounded to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(321\/78 - 4). Suppose 0 = -2*u - 2*b + 50, -2*u + 1 + q = 3*b. Does u = 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*p - 7 = 3, 4*n + 4*p = 20. Let a(s) = s**2 - n + 5. Let j(y) = 5*y**2. Give j(a(w)).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -32. Let d = s - 10.1. Put d, -1\/9, -2 in decreasing order.\nAnswer: d, -1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 8. Find c such that -4*c**2 + 5*c**4 + 18*c**4 - 2*c**2 - 5*c**h + 15*c**3 - 27*c**5 = 0.\nAnswer: -2\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 315628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 970203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m = 22*m + 4*r - 26, 2*m = -3*r + 9 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -1028*y**2\/3 + 3038*y\/3 + 46 = 0. Calculate y.\nAnswer: -23\/514, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 3*z + 6*z**2 - 31*z**2 - 3*z**2.\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 + 0.02. Let i = -1.7 + 2. Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 3. Let t = k + 43. Solve 0 = -2*r - 4*o + 30, -6 = -3*r - 3*o + t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - c**2 + 3*c**2)*(3*c + 0*c + 0*c) - 78*c**3 - 5*c**2 - 317*c**3 + 5*c**2.\nAnswer: -389*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 10*o**3 - o**3 + 84*o**2 - 77*o**2 in the form d*o + c + u*o**2 + h*o**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 1:49 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-175849)\/8578*(-2)\/(-2)*2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27431724, 54863421, 82295118, 109726815?\n\"Answer: 27431697*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*l - 48, -2*l = o + 4*o - 288. Let j = 199825 + -199721. What is the least common multiple of o and j?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a**2 + 31*a - 104. Calculate the lowest common multiple of 68 and n(3).\nAnswer: 4828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(6\/(-2))*46. Suppose t - 15 = -n, 4*t - 17 = -n + i. Solve -a - t = -3*m, 6 + 9 = 3*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1249*v**4 + 16*v?\nAnswer: -14988*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 + 0 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 11:41 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-550)\/220*304\/(-28500)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 7*p - 30*p + 47*p - 9*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3970*t**5 + 3681788*t**4 - 8813940*t**3 - 8061536*t**2 + 4427062*t - 11100 = 0.\nAnswer: -1, 1\/397, 2\/5, 3, 925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001638099 rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-219164)\/(-1309) + -166)*7\/225?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -13*b**3 - 14*b**2 - 59*b + 9. Let c(v) = -3*v**3 - 5*v**2 - 15*v + 2. Let u(s) = 9*c(s) - 2*l(s). What is u(-16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) + (-1)\/(6\/(-20)). Suppose -x*g + 207 = -3*b, g + 5*b = 3*b + 75. List the prime factors of g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*j + 34, -f + j = -1652. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(1078)*-2 - sqrt(1078)))\/(sqrt(176)*1*-4))**2 + 0 + -1.\nAnswer: 313\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6*(-1818)\/(-12). Let g = -12 - j. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4665375419358 - 4?\nAnswer: 4665375419354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 1560a16?\nAnswer: 1560a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -140.8 times -28\nAnswer: 3942.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -25 - -8) + -1 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/28 and -19\/28616.\nAnswer: 28616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 18 - 2)*(-2*b + 2*b + 2*b)*(0*b - 2*b - b)*(0*b**3 - 4*b**3 + 3*b**3).\nAnswer: -96*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 5\/2*y**3 + 4*y + 7\/4*y**4 - 3*y**2 + 0. Factor m(i).\nAnswer: 3*(i + 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 8) to base 6\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -19. Let -14 + 20 - w - 6*v + 3*v**2 = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 12bba894?\nAnswer: 12bba893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30085\/(-42119))\/(5\/16)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 2 (c) -2\/25 (d) 0.05 (e) 19 (f) 4 (g) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.09 - 1.09. Sort 7, l, 2, 0 in descending order.\nAnswer: 7, 2, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from tgcip?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h**4 + 276*h**3 - 4530*h**2 + 16756*h - 17760 = 0. Calculate h.\nAnswer: -40, 2, 3, 37\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i - 9. Let w(f) = -16*f + 46. Let p(a) = 11*d(a) + 2*w(a). Let h be p(11). Put h, 12, -5 in increasing order.\nAnswer: -5, h, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/17953728 and -69\/29120?\nAnswer: 628380480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 662448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t**2 - 45*t**2 - 23*t**3 + 19*t**2 + 8*t**2.\nAnswer: -23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 25*a**5\/3 - 275*a**3\/6 + 2*a**2 + 23. Differentiate n(m) wrt m.\nAnswer: 1000*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 42.036. Let s = k + -0.071. Let h = s + 0.235. Which is the second biggest value? (a) -2\/7 (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from {h: 3, c: 4, t: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133 + 136. What is the second derivative of 24*q + 11*q**k + 0*q**3 + 24*q**3 wrt q?\nAnswer: 210*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b - 180 = -25*b. Calculate the greatest common divisor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/5522 + 5487\/38654. Suppose -1\/7*y + 1\/7 + 1\/7*y**3 - h*y**2 = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419106517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8090867 rounded to 3 dps?\nAnswer: -0.809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1440 and 16480?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 1.2, 2812?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 201175.812ms in days?\nAnswer: 0.00232842375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 159, 150, 139, 126, 111?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*r + 3 = 4*r, 3 = -3*l - 4*r. Let t(x) = 24*x - 1. Determine t(l).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-72))\/(-1)*6*9\/(-252)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 5*v = 91 - 116, -5*f + 10 = 2*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 855, 2071, 4103, 6951, 10615, 15095?\n\"Answer: 408*k**2 - 8*k + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -1.3. Let i be (-24)\/104*(-1)\/(-3). Which is the second biggest value? (a) 0 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -7, -42211, -3.\nAnswer: -42211, -11, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 48. Suppose 20*o + 24 = v*o. Sort o, -27, 3.\nAnswer: -27, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345061?\nAnswer: 37, 36353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36991 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 22*s - 12. Give u(-4).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 6, w: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + (-5 + (sqrt(833) - (sqrt(833) - (1*sqrt(833) + sqrt(833) + sqrt(833)))))*4)**2.\nAnswer: -3192*sqrt(17) + 120317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(3*a - a + a + 5*a - 4*a + a + (-2 + 3 - 3)*(-a - 4*a + 4*a) + 6*a - 3*a - 2*a + 4*a + 2*a - a) + 1 + 3 - 4*a - 9.\nAnswer: -30*a - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -2*c**3\/3 - 3*c. Let z(b) = -9*b - 1. Let h = -13 + 15. Suppose j + 2 = h*j. Calculate j*z(s) - 5*a(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**5\/240 + 193*h**4\/24 - 37249*h**3\/6 + 1063*h**2. Factor y(c).\nAnswer: -(c - 386)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -165 + 166. Let u be 2\/17 - (b - (-1813)\/(-1785)). Which is smaller: -0.07 or u?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-4 - 8) - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 62*l - 82. Let v(u) = u**3 - 8*u**2 + 5*u - 3. Let k be v(3). Does 20 divide f(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 0.23628?\nAnswer: -0.26372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 3*r**2 + 4*r + 4. Let p be a(4). Suppose -n + p*n = 12. List the prime factors of 56\/(-21)*(-6)\/n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13205876.\nAnswer: 2, 31, 281, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12514516?\nAnswer: 2, 7, 17, 61, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3919*s**2 + 19621*s**2 - s**3 - 3931*s**2 - 3934*s**2 - 3916*s**2 - 3921*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 31733 - 116253 + 2*d.\nAnswer: 2*d - 147986","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4*s = -8, -127*o = -131*o - 5*s + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18326500 rounded to the nearest one hundred thousand?\nAnswer: 18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**8\/10080 + g**7\/630 - g**6\/90 + g**5\/20 - g**2. Let o(w) be the third derivative of q(w). Factor o(k).\nAnswer: -2*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d - 46. Let q be w(-5). Suppose 0 = -5*j + 3*x + 26, 0 = -3*j - j + 3*x + 19. Let g = q - j. Sort 1, g, -4 in descending order.\nAnswer: g, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2549 divide 39721067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124 (base 6) in base 8?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 925040*m + 852382.\nAnswer: 925040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = u - 3*k, -5*u - 196 = -5*k - 11. Let f be u\/12 - (-2)\/3. What are the prime factors of f\/4*-14 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3 + 1220*c**2 + 3674*c + 2452 = 0. What is c?\nAnswer: -2, -1, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8685 - 8683.1. Which is the closest to q? (a) -7\/2 (b) -1 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q - 1. Let p be m(-5). Let w(u) = -u**3 + 10*u**2 - 8*u - 8. What is the remainder when 4*p\/(-12) + 6 is divided by w(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148296003350 + 76.\nAnswer: -148296003274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/616 and -61\/168?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3741628249 to the nearest integer?\nAnswer: 61169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*o - 2400 = 54*o - 63*o for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 17*x**2 - 24*x - 62. Let v be r(15). Solve 0*b + 4*u = -3*b - v, u = -3*b - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 8, -6, 5325\/7, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8977753*m**5 - 1264*m**2 - 146*m wrt m?\nAnswer: 538665180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzwzzewwrweerwzer. Give prob of picking 1 z and 3 e.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.29 + -37.29. Let c = 0.3 + 0.7. Put l, 0, c in decreasing order.\nAnswer: c, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 93*v + 2839. What is u(-118)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 7*k + 16. Let o = 2 + 1. Let g(r) = -r**2 - 2 - 4*r - 2*r - o. Give g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sses when four letters picked without replacement from eeeseeeseeeee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 23*a**2 - 28*a - 33. What is the hundreds digit of i(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 2*x + 5*c, 4*x + 6*c - 375 = c. Suppose x = 11*y + 29. Solve 2*h + 2*q - 5*q = -9, -2*q = h - y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984771379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 40 + 5731281\nAnswer: 5731321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 90, -0.5 in ascending order.\nAnswer: -1, -0.5, 1, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 10*v + 4. Let l be d(10). Suppose 2*w = 4*h - 6*h - 74, -169 = l*w - 3*h. Let x = w + 60. Calculate the remainder when x is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1011.7743 + 0.2257. Which is smaller: -0.2 or l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + x - 3259999 = 0, -7*x - 8150004 = 5*t - 3*x. What is t rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 533 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g - 2 + 5*g - g)*(-2*g + 4 - 1 - 1) to a + k*g**2 + m*g and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1186 - 1185.5. Suppose -13 = -12*a + 47. Put j, 2, -0.4, a in descending order.\nAnswer: a, 2, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169560\/11 or -15416?\nAnswer: -15416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3238071?\nAnswer: 3, 1079357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h + 8 = 0. Let t(k) = k**2 - 6*k + 8. Let j be t(5). Let y = h - j. Solve 0*c + 4*c - 4*w - 28 = 0, -4*w = -y*c + 31 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 476 = 4*w, 35*w - 40*w + 4*i + 637 = 0. Solve 0 = -10*u - 135 + w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1771 * 21.4.\nAnswer: 37899.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (60 - (-3 - -72)) + 3 + 2 + 12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-29 - -22) + (2 - -3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968968289.\nAnswer: 19, 50998331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/147855 and -109\/30?\nAnswer: 295710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/88 and 5\/(100\/106) - (5 - 1).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -1. Suppose -2*a - 5*j - 7 = 0, t*j + 11 = -3*a + 2*a. Put 1, a, -3 in increasing order.\nAnswer: -3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64 and -14285.\nAnswer: 914240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(3\/7)*l*l)\/(l\/(l\/(l\/(l\/(l\/l**(-19)))*l)*l)))\/(((l*l**(-4\/9)*l*l)\/l)\/(l*l*l\/(l\/(l*l**12))*l*l)) assuming l is positive.\nAnswer: l**(-71\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.552734 and 17.\nAnswer: -213.396478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**5 + 8955*q**4 - 17931*q**3 - 26883*q**2 = 0.\nAnswer: -2987, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**7*d)\/d*d)\/(d*(d\/d**3*d)\/d)*d*d**6*d**(-3\/2) assuming d is positive.\nAnswer: d**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6746791, 6746774, 6746757, 6746740, 6746723, 6746706?\nAnswer: 6746689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/322536 and -137\/19352160?\nAnswer: 19352160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16233, 5, 2 in ascending order.\nAnswer: -16233, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112673 by -10243.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8938 and 1025?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (60\/70)\/((-12)\/(-56)). Solve -6*k - 8 = -t*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 238 and 833?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a. What is h(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3873?\nAnswer: 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213437 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**(1\/56)\/(c\/(c*(c**1*c)\/c*c)*c**(-1\/3)) assuming c is positive.\nAnswer: c**(197\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9*y - 9. Let b be u(3). Suppose -21*s - b = -23*s. What is the remainder when (-2)\/5 + s\/(90\/604) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 + 5*d**5 + 10*d**2 - 10*d + 4*d**3 - 24*d**3 + 25*d.\nAnswer: 5*(d - 1)**3*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4067*f**2 + f - 165635?\nAnswer: -8134*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n - 6. Let w(s) = -s. Let u = -222 + 76. Let k = -152 - u. Let a(y) = k*w(y) - x(y). Calculate a(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/9 + 7\/(882\/56). Which is the biggest value? (a) 1.6 (b) 1\/6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 1)*(-u**2 + u**2 + u**2) - 4*u**2 + u**2 - 5*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -6, -4, -2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 greater than -3428\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 + (7 - 14)) - -10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*(o\/(o*(o**(-1)*o)\/o))\/o)\/o))**31)**(6\/11)\/(o\/o**(-6)*(o\/(((o\/o**(-2\/9)*o)\/o)\/o))\/o*(o*o\/(o**(2\/7)\/o))\/o**(-2\/3)) assuming o is positive.\nAnswer: o**(4678\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -5641*d**4\/6 + d**3\/6 - 639*d**2\/2 + 929*d + 1. What is the second derivative of g(z) wrt z?\nAnswer: -22564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42.6 - -4.4. Let p = l - 66. Let x = p + 18.9999948. What is x rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1778.1 - -4130.7.\nAnswer: 5908.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*x + 8, -2*y - 4*x = y - 64. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*d - 79*d - 144260 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 25*j**2 + 21*j - 115. Calculate p(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -13 - 30 - -72) + (-2 - -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95718382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.30253 rounded to three decimal places?\nAnswer: 1.303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/376 and -28\/476157?\nAnswer: 3809256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -0*s + s + 2*h, 5*h - 21 = 3*s. Suppose -2*f = -5*b - 5, 0*f - f - 8 = b. Let q = f - s. Solve q*u - 1 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/5 - 4\/20. Let o be d - 0\/(6 - 2). What are the prime factors of (52 + o)*4\/6?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58 or 237\/4?\nAnswer: 237\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*12\/2*126\/(-252).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(6 + (-9)\/3). Let q be -2*(j\/4 + 3). Suppose -q*y = -2 + 11, -4*u + y = -51. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.48 and -9?\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 176. Determine m(5).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -568, -821, -1076, -1333, -1592, -1853?\nAnswer: -2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3455, -3564, -3743, -3992, -4311, -4700?\n\"Answer: -35*y**2 - 4*y - 3416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820181?\nAnswer: 269, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16\/21 + -2\/21. Let s be (96\/35)\/((-2)\/40). Let i = 55 + s. What is the closest to 1 in h, 5, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 - 24*v**2 - 87*v**2 + 64 - 122 - 69*v to k + w*v**2 + m*v and give m.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1333 and 5891?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c + 96. Let v be l(-24). Solve -d + 5*o + 26 = 0, 2*d - d - 3*o - 16 = v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 44?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10832, -19611, -28390, -37169, -45948?\n\"Answer: -8779*y - 2053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175*w - 40*w - 80*w - 44*w to the form o + h*w and give h.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1136, 2299, 3458, 4613, 5764?\n\"Answer: -2*o**2 + 1169*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*c + 146, 3*c + 3*s - 99 = -6. Suppose 3*q - 2*o - 23 = c, 3*o = -12. Calculate the highest common divisor of 25 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110000010011001111 - -1?\nAnswer: -100110000010011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3939 + -3939. Sort -4, 14, 5, h, -2 in decreasing order.\nAnswer: 14, 5, h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*y + 41282 = -1221*y - 967*y - 53702 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550939 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -47*w + 335. What is the units digit of o(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.28 and -0.07.\nAnswer: 3.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**2 + 344194824*p - 7404379804274436 = 0.\nAnswer: 43024353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 137753 (base 10) in base 15?\nAnswer: 2ac38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -17, 4.\nAnswer: -17, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -48*b**2 + 57*b + 980. What is v(6)?\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 3*k - 5*n, -4*k - n = -3*n - 190. What is the remainder when k is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 7, 5, -3, -25\/6, 3 in descending order.\nAnswer: 7, 5, 3, -0.03, -3, -25\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 + -1.2. Let q = -0.494 + c. What is q rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55032*c**3 + c - 854.\nAnswer: -330192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 118 + -112 - (0 - 0 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 29028908.\nAnswer: 145144540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**5 + 2520*y**4 + 378261*y**3 + 3261648*y**2 + 8577936*y + 5692032 = 0. Calculate y.\nAnswer: -648, -183, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2538 (base 13) in base 15?\nAnswer: -1876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -433539 > -433546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (5 - 1 - (-44 + 47) - 0)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 178*b**5 - 4819 + 188*b**5 - 550*b**5 + 178*b**5 + (-5*b**5 + b**5 + 3*b**5)*(-2 + 3 + 1).\nAnswer: -8*b**5 - 4819","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*d + 69*d = 3298 - 450 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69076 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3904.2371 to the nearest 10.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 27. Let k(i) = -2*i + 9*i + u - 8*i. Let o(p) = -2*p + 3. Determine 6*k(g) - 2*o(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1847*q**2\/4 + 3808976*q - 8249\/4.\nAnswer: -(q - 8249)*(1847*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 + 380 = 12*c - 194. Solve 599*r = 602*r + c for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) -2\/9 (c) 3\/488\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -22000212121011?\nAnswer: 22000212121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319666 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**2 + 1600*m + 128000 = 0?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/1 + -1 - -3. Suppose 0 = t*f + 2*f - 20. Let p(l) be the second derivative of l**3\/6 + l**2\/2 + l. Determine p(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6925*k**2 - 245*k**3 + 2 - 6932*k**2 + 40*k**3.\nAnswer: -205*k**3 - 7*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010088373 rounded to 5 dps?\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3681540 and 2249830?\nAnswer: 40496940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 2*u - 14. Let v = 62957 - 62959. Let y(b) be the second derivative of 4*b**4\/3 - 11*b**3\/6 - 71*b**2\/2 + b. Determine v*y(d) + 11*q(d).\nAnswer: d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 38 = 15*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, 5, 1 in decreasing order.\nAnswer: 5, 1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22654553 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2 + 84*v + 46*v - v. Is f(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3161 is divided by 117.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 43.\nAnswer: -60\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0625 and -2.81.\nAnswer: -0.175625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**4\/30 + 2*u**3\/9 + 14*u**2\/15 - 38. Suppose k(y) = 0. What is y?\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 0.858, 37\/55?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -4, -259?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (3 - (9 - 21))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*o - 18 = 0, -2*x - 31 = -4*x + o. Let i be 520\/6*(-6)\/(-4). Let t = i - x. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101736 + 814131\/8. Factor -3\/8*h**2 - x + 27\/4*h.\nAnswer: -3*(h - 9)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.83901755 to three decimal places.\nAnswer: -0.839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -12*n - 6. Let g(q) = -11*q - 4. Let u(i) = -2*d(i) + 3*g(i). Let v(h) = -12*h. Calculate u(v(c)).\nAnswer: 108*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-2))\/(6\/60). Let n = t - 19. Suppose -n = -3*h, -7*p + 3*p = -4*h. Solve p*b + 15 = -5*a, -2*b - 2*b + 6 = -2*a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6) + (45\/(-6))\/3. Suppose -4*h + 3*w - 18 = -h, 0 = -3*h - w - 2. Let j be (24\/6)\/((-1)\/6*h). Sort 4, 5, j, n in descending order.\nAnswer: j, 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 215*h**3 + h - 68 wrt h?\nAnswer: 1290*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/1 - (1 + -4) - 20043\/(-1173)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 - 1)*(0*j - 3*j + 7*j) - 3*j + 0*j + 4*j + 4*j - 2*j + 0*j + (0 - 2 + 1)*(-2 + j + 2) as o + q*j and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -4. Suppose -16*b = -38*b. Suppose -9*p - 5*p - 7*p = b. Sort p, j, -6 in increasing order.\nAnswer: -6, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 18. Give p(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/88 and -54\/77.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) -32\/3 (c) -549\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/7)\/(o**12\/o)*(o\/o**(2\/85))\/(o\/o**(-26)) assuming o is positive.\nAnswer: o**(-21859\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/(4 + 11\/(-3)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*(-1 + sqrt(1216)*-3 - (sqrt(1216) + 1)*3) + 3)*2)**2.\nAnswer: 435456*sqrt(19) + 56749572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283202395?\nAnswer: 5, 7, 1439, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 25*x**2 + 5*x - 58. Let g(a) = 37*a**2 + 8*a - 88. Suppose -3 = 6*w + 45. Let j(k) = w*l(k) + 5*g(k). Differentiate j(u) with respect to u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 + 5*u**2 + 5*u - 9. Let t be k(3). Let h = 48.2 + -48. Which is the nearest to t? (a) 3 (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 46.2574371 and 0.\nAnswer: 46.2574371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -353 <= -150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5244705 (base 9) in base 16?\nAnswer: 2acd2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 120855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**3 + 22*o**2 - 265*o + 556. Calculate x(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 82\/5. Let t = 90444 - 19897569\/220. Let l = -1\/220 + t. Put 1, f, l in ascending order.\nAnswer: f, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 16) to base 3\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 10 + m**3 - m**2 - 7*m**2 - 3*m**2 + 12*m. Is l(-12) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 760 and 192.\nAnswer: 18240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-10\/3))\/h**(19\/5))**(3\/4))**(-1) assuming h is positive.\nAnswer: h**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 5*m + 9. Let a(s) = -4*s + 8. Let t(l) = 7*a(l) - 6*j(l). Let o be t(-4). Calculate the common denominator of 6\/(-15) + 796\/o and 37\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r - 3*r + 4*r. Is 4 a factor of w(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12031 and 11819.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 141*n - 137*n + 3*z, 5*n = z + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkmkmkm.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129435\/2851 - -2\/14255. Let s = 45 - o. Let z = 13 - 14. Which is the closest to z? (a) -3 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42f0 + -13?\nAnswer: -4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-212)\/(-322) - 24\/42. Which is the nearest to 2\/3? (a) 1 (b) w (c) 2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -22*r + 23*r + 3, h + 3 = 107*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246349601, 246349603, 246349605, 246349607, 246349609, 246349611?\nAnswer: 246349613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4158, -8447, -12736, -17025, -21314?\nAnswer: -25603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-11) - 2*2. Let t(g) = -3*g + 0*g**3 + 3*g**3 - 2 - 88*g**2 + 86*g**2. Let p(k) = -13*k**3 + 9*k**2 + 11*k + 9. Calculate r*p(w) - 9*t(w).\nAnswer: -w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -410, -2062, -4964, -9116, -14518, -21170, -29072?\n\"Answer: -625*j**2 + 223*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 + -16.101972.\nAnswer: -47.101972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -14. Let w be (b - -2)\/2*10. Suppose -w*d = -2*k - 35, -2*d + k = -2*k - 25. Solve -d*m = -2 + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*u - 40 = -z, -z - 10 = -5*u. Let p = z - -37. Calculate the remainder when p is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6023921.00001 - 6023896. Let r = z + -25. What is r rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*t - 3*d = 661*t + 72, -6*d = 144 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -954276 + -5?\nAnswer: -954281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2\/(-6))\/((-45)\/(-6750)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1752 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -t - 65, -2*t + 54 = 3*o - t. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 14*n**3 - 15*n**2 + 3*n. Let z be f(1). Factor 2*l**3 + 0 - 3\/2*l**z - 1\/2*l.\nAnswer: l*(l - 1)*(4*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121011 (base 7) in base 10?\nAnswer: -21960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 1, 0 = -2*s + y - 5*y - 11 + 33 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000011001110000111 (base 2) to base 8.\nAnswer: 2031607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 116.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + -35?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1392)\/6960*((-44)\/(-184))\/11*(-2)\/(-1)\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 5*j**4\/12 - 5*j**3\/3 + 35*j**2 + 3*j. Let d(z) = 7*z - 7. Determine 7*d(w) - 5*h(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/8 - (-2)\/8. Let i = 468 + -467. Let d = 121 + -1088\/9. What is the nearest to i in u, 3, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -b + 1. Let q(g) = -3*g. Calculate the remainder when (-3)\/2 - (-182)\/28 is divided by q(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyynwnvoinwn. What is prob of sequence iv?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4340 + 12905\/3. Let b = q + 68\/3. Let l = 179\/12 + b. Calculate the common denominator of 23\/3 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - 201?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 - 13*t**2 + 7*t + 3. Let v(a) = a**3 + 8*a**2 + 8*a - 1. Let s be v(-7). Let r = 12 + s. What is the remainder when r is divided by c(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 88 (c) -0.8 (d) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -396, -794, -1206, -1638, -2096, -2586?\n\"Answer: -x**3 - x**2 - 388*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**5 + 419*g**4\/4 + 1461*g**2\/2 + 413. Find the second derivative of o(u) wrt u.\nAnswer: 60*u**2 + 2514*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 11*z**3 + 417 - 21*z**4 - 416 + 5*z**4 in the form c*z + w + x*z**2 + u*z**3 + i*z**4 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 5835132.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -387 by 43.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000347142462 to six dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -0.84?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6304291 grams?\nAnswer: 630.4291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8841, -10010, -11179, -12348?\n\"Answer: -1169*w - 7672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*sqrt(114)*2 + sqrt(114))\/(5*sqrt(54)) + (-3 + sqrt(38)\/sqrt(2) - (5 + 1 + sqrt(19))).\nAnswer: -6 + 13*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor v + 7*v + 40*v**3 - 74*v**3 + 9*v**2 + 35*v**3.\nAnswer: v*(v + 1)*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29634 and 49863690.\nAnswer: 49834056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-2 - -46))\/((-12)\/(-672)*14))\/6?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/60)\/((-32)\/(-72))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 0.33. Which is smaller: 0.5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3229781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11*j**3 + j**2 - j - 1. Let b be d(-1). Suppose -k - 3*k = -b. Suppose -r - k = -s, -4*s + 0*s + 14 = -3*r. Is 2 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16303, 16290, 16277, 16264, 16251?\nAnswer: 16238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30469163*m - 13662590.\nAnswer: -30469163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 + 2*c - 9. Let f be j(7). Suppose 21 - f = -2*y. Suppose y = 5*w - 0*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Let k(v) = 4*v**2 + 20*v**3 - 1 - 15*v**3 - 3*v**2. Let y be k(w). Put y, -8, 3 in descending order.\nAnswer: y, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/40*(-18)\/(-4)*(-6)\/36.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -372 + 367. Let q(k) = 3*k - 4. Let a(s) = 2*s - 2. Determine v*a(r) + 3*q(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.841191963 rounded to two dps?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833402?\nAnswer: 2, 29, 14369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/((-47 + 11)\/(-12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 312 and 186 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1 + sqrt(2)*1 - (-1 + sqrt(2) - sqrt(2))*1) + (sqrt(10)\/(-3*sqrt(5)) - (-3 + 2*sqrt(2))**2)).\nAnswer: -190*sqrt(2)\/3 + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:56 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/19 or 13?\nAnswer: 24\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -185 (b) 0.1 (c) -20\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 0)*(3948\/1314 + -3). Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 32*r - 112. Let y be 14\/3*1*18. Suppose 3*q = -0*q + y. Calculate the highest common factor of q and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/18 + (-2)\/(-3). Let p = l - 19\/63. Let g = 584 + -594. Is g at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3103 + 3194. Calculate the remainder when 247 is divided by x.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171 + 200. What is the remainder when 288 is divided by r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 - 19*n**2 + 19*n - 40. Let h be c(-13). What is the greatest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.71, 3\/4, 0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-336)*6*4\/(-2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 69?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 389a (base 16) in base 8?\nAnswer: 34232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -2533 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 217*c**3*h**3 - 5*c**2*h**3 - 1473*h**3 + 2*h**2 with respect to c.\nAnswer: 651*c**2*h**3 - 10*c*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwwgwmwgwy. What is prob of picking 1 w and 1 y?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4032 by -18.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83880930417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*w = -315*w - 2*r - 18, 26 = -4*w - 2*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1006*g + 992. Give i(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b1566 - 2?\nAnswer: 2b1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b1707 + 1a?\nAnswer: 2b1725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1200)\/225 - -101)\/(14\/(-6))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-18) + (-23153)\/(-69870) and -35\/136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.54 + -0.04. Let y = 6 - f. What is the nearest to -1 in -3, -2\/7, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/(-112) + -4*(6 + 2564\/(-28)). Let b be (1023\/(-6))\/((-2)\/4). Is b at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 67336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5008, -20609, -46804, -83593?\nAnswer: -130976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2024)\/(-1716))\/(-23)*-247)\/((-1)\/(6\/(-10))).\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -142?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 5*f**9\/504 - f**5\/60 + f**2\/2 + 2. Let v(i) be the second derivative of c(i). Find the third derivative of v(j) wrt j.\nAnswer: 600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 7. Suppose 0*z = -l*z + 3. Calculate the highest common factor of 3 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 - 32*c**2 - 4*c**3 + 1 + 4*c**3 - 9*c**3 + c**3 to the form o*c**2 + r*c + t + q*c**3 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 594 and 2400750?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13178 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6207590.00027 - -6207554. Let s = -36 - c. Round s to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/125115 and 161\/540.\nAnswer: 4504140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(14)\/(sqrt(7)*-2))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.531292 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 27 = -9*v, y + 21 = -1792*v + 1789*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9*r - 15 = 0. Factor 2*f**2 + 0*f**3 - 3*f**3 + 4*f**r - 3*f**3.\nAnswer: -2*f**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*v + 28, 0*a + 23 = -5*v + 2*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, 1, -1, -2\/15, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**2 - 13 + 2*z**2 + 3*z + 10 - 134*z**3 - 4*z**2. Let n(a) = -3*a**3 + 2*a**2 - a. Let p be n(1). Is j(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2744.9 + -2749.9. Sort m, 8, 0, 1 in ascending order.\nAnswer: m, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 3*p - 4*p)*(3 + 1 - 2 + (-3 + 3 + 1)*(-1 - 2 - 2))*(0 + 0 + p**2) to the form f*p**2 + u + n*p**3 + y*p and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 211, 4, -12, 1 in decreasing order.\nAnswer: 211, 4, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*g + 2*r + 24 = 151*g, 30*g - r + 46 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*g - 5. Let s be (-2)\/g + 27\/5. Let m = s - -32. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2 - 1842944*i = 0.\nAnswer: -921472, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 3. Let k = 7 + -4. Suppose -4*u + 3*u - k = 0, -18 = 3*c + 4*u. Give r(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.65929 - -3138.\nAnswer: 3136.34071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 0.904?\nAnswer: 6.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5963 and -0.3?\nAnswer: 1788.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 576\/(-291) - 1 - -3. Is v != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 - 101100101?\nAnswer: -101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Let p = -2 + j. Suppose 3*f - 7 + 4 = 3*x, 22 = -2*x - 3*f. Sort x, p, -3 in ascending order.\nAnswer: x, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, p: 9}. What is prob of sequence ppp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**3 + 1. Suppose 4*i - 3*k - 39 = -27, 2*k - 8 = 0. Let j(c) = 11*c**3 + 2. What is i*j(n) - 10*d(n)?\nAnswer: 16*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 5*q = 9. Calculate the least common multiple of q and 2096\/88 + (-124)\/44 + 3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 12*c + 286. Calculate the remainder when p(15) is divided by 130.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230223010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 16*y**3 - 180*y**2 + 400*y + 3250.\nAnswer: 2*(y - 13)*(y - 5)*(y + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*o**3 + d**2*o - 22527*d**2 - 2*d*o**3 - o**3 - 43*o**2 + 25 wrt d.\nAnswer: 4*o**3 + 2*o - 45054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhm when three letters picked without replacement from {l: 4, m: 4, f: 4, h: 6}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l\/(l**(-2)*l)))*l*l**(2\/11))**4*(l**(1\/3))**(-2)*((l*l\/(l\/(l\/l**(-4))*l))\/l)\/(l\/l**(-6)*l) assuming l is positive.\nAnswer: l**(398\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {i: 1, m: 3, o: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 11:57 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65812 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: What is the ten millions digit of 31211894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/24*2)\/((-110)\/40).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2, 0.14, 1\/7, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**5 + 12*c**4 - 36*c**3 - 102*c**2 + 33*c + 90 = 0.\nAnswer: -5, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5921 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-18)*(-2 + 144\/56). Let k(l) be the first derivative of p*l - 1\/3*l**3 - 1\/12*l**4 + 1\/6*l**2 - 1 + 1\/15*l**5. Solve k(r) = 0 for r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0 + 0)*(0*o - o - 4*o)*(5 - 1 - 2).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d*d*d)\/d*d)**17\/(d\/(d*(d*(d*d**5)\/d)\/d))**(-36) assuming d is positive.\nAnswer: d**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -144722317 - 5?\nAnswer: -144722322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1962.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22546\/45 - 501. Let s(f) be the second derivative of 2\/9*f**3 - 3*f + 0*f**2 + 0 + 1\/6*f**4 - b*f**6 + 0*f**5. Let s(a) = 0. What is a?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 836113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1))**40)**2 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2. Let m(l) = 204*l**2 + 340. Let k(q) = 2*q**2 + 2 + 11 - 3*q**2 - 15. Let j(s) = -170*k(s) - m(s). What is j(t(x))?\nAnswer: -136*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58712 and 74292.\nAnswer: 26596536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*o + 110 - 110)*(-2 + 2 + o) + 4*o**2 - 2*o**2 - 3*o**2.\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 283442 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -914*m - 224*m - 355*m - 358*m. Let x(t) = -t. Calculate x(g(j)).\nAnswer: 1851*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 9*s**2 - 13*s + 13. Let x be z(10). Let b be ((x - 3)\/4)\/(-1). Solve d - 4*d - 9 = -3*c, 0 = 3*d + b*c + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(119) + 1*2*sqrt(119))\/(sqrt(175)*6) + -1.\nAnswer: sqrt(17)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -639 divided by -2136\nAnswer: 213\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211873, -423811, -635747, -847681, -1059613, -1271543, -1483471?\nAnswer: -1695397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 29 + 9 + 11*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 2*n**6\/3 - 372*n**5\/5 + 1808*n**4 + 66736*n**3\/3 + 43200*n**2 - 160000*n + 816. Suppose q(h) = 0. Calculate h.\nAnswer: -4, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 48976650?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -261*m**2*o**4 - 10*m**2*o - m**2 - 762 wrt o.\nAnswer: -1044*m**2*o**3 - 10*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 813, 1794, 3427, 5718, 8673?\n\"Answer: c**3 + 320*c**2 + 14*c + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -129441 + -0.133?\nAnswer: -129441.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -f - 3, 253*f - 4*t + 9 = 258*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.32 plus -0.3?\nAnswer: 54.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (3 + 3)) + 5 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1290263907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -24 - 23 - (-1 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s - 12*s + 167*s**2 + 219*s**2 - 282*s**2 to i*s + p*s**2 + j and give p.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 364164 and 182082.\nAnswer: 364164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -0.0239 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632675876?\nAnswer: 2, 7, 17, 37, 35923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423 - -391 - (-968)\/30.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8330*g**6 - g**2 + 11*g - 357 wrt g?\nAnswer: 999600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4066.96 and 1?\nAnswer: 4067.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 743351545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 16 = -3*m, -9*m - 8*p + 12*p = -10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-198)\/180 + 6\/4. Which is the second smallest value? (a) u (b) 2\/13 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2650 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r + 2*r**2 - 3*r + 0*r**2 + 2*r to i + h*r + o*r**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 2*b - 62 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 3*y - 5. Let x be n(6). Let z(r) = -2*r. Let t be z(-2). Let l = x - t. Solve -4*v - l = -u, 2*v - 4*u = 6*v + 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 83*y + 803 = -13*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Suppose 0 = 3*h - 105 - 171. Let p(u) = 4 - h*u + u**2 + 93*u + 6 - 2. Give p(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5 + 7 = 0, 0 = -3*s + 2*t + 2. Suppose -3*w = -5*w + s. Factor w + 28*o - 15 + 16*o**2 + 6.\nAnswer: 4*(o + 2)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 98*l**2 - 30*l + 22986. Calculate v(100).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + 2)*(2 - 2*h - 2) + 3 - h - 4 - h)*(-143 + 6*h + 143) as u + o*h + i*h**2 and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + 389. Suppose r + 499 = y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78645248 to the nearest one hundred thousand.\nAnswer: 78600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -78058b (base 15) to base 9\nAnswer: -11680845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45122502 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 7. Let m be u(4). Let w be (-1)\/(1 + 3\/(-2)). What is the first derivative of -w*p**m + 4 - 24 - 4*p**3 wrt p?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131\/42 + 16\/7. What is the fourth biggest value in -1, i, 2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4569 - -17631. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**3 - 21*l**2 + 25*l + 53. Let q(i) = -2*i**3 + 11*i**2 - 12*i - 26. Let b(p) = -7*q(p) - 3*u(p). Is b(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2. Let k(o) = 155*o**2 - 4*o - 50. What is k(w(c))?\nAnswer: 155*c**4 + 4*c**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38703, -38706, -38709, -38712?\n\"Answer: -3*m - 38700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36855 and 6895.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2757 + 2751 = -v, -v = 10*n - 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238106 to the power of 1\/2, to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**2 - v + 2. Let p be g(3). Let f(i) = 2*i**2 - 3*i. Let j be f(-4). Let k = p - j. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 1 + 5*l)*(-11 + 2*l + 11) + (-2 - 1 + 2)*(l**2 - 2*l**2 - l**2) - l**2 - l + l + l**2 + 0*l + 0*l.\nAnswer: 12*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -57, 21, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 3*a + 4*m - 10, -4*m + 2 = -a. Let q be 180\/(0 + 6)*1\/a. Which is smaller: q or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-17)*s))\/(s*((s**22*s)\/s)\/s))**(5\/4) assuming s is positive.\nAnswer: s**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 192+0.093356638607\nAnswer: 192.093356638607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-6) - -2 - (-204)\/(-153).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 124570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 - 313334?\nAnswer: -313271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -7452202 - 0.5.\nAnswer: -7452202.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231086 is divided by 3727.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 + 12203302?\nAnswer: 12210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.913 at least as big as -826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -22 + 6. Let g be 2*((-342457)\/(-2) - u). Let s = 1157551 + g. Round s to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5\/2 - 107*l**4\/2 - 171*l**3\/2 - 33*l**2\/2 + 17*l = 0. Calculate l.\nAnswer: -34, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t. Let o(w) = w**2 - 4*w - 5. Let v = 11 + -5. Let a be o(v). Let k(r) = -3*r**2 + a*r**2 + 0*r**2 - 2*r**2. What is k(s(b))?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.2 minus 1.84?\nAnswer: 10.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from qofqqkoqoyq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqehwqs. Give prob of sequence weww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/151 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 - 2167413 + 2167413 + 98*m in the form y*m + u*m**2 + x and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/9)\/(-3))\/(-1)*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86216278.\nAnswer: 2, 43108139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282697 is divided by 5760.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176090316, 352180628, 528270940?\nAnswer: 704361252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -365 - -383. What is the greatest common factor of w and 324?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**4 - 5*g**4 + 4*g**4 + (g**3 + g**2 - g**2)*(-4*g - 2*g + 3*g) - 24445 - g**3 - 238*g**4 + 24445 as l*g + r*g**3 + t*g**4 + v + n*g**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**5\/20 + 11*w**4\/12 + 5*w**2 - 32*w. Let v(m) = -m**2 - m + 1. Let r(j) = -t(j) - v(j). Determine r(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -9. What is the smallest common multiple of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6519 divided by 159?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.6, -1\/1004, -0.5, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 525 = 9*d. List the prime factors of d.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 4*w + 3. Let x be o(-2). Let d(i) = i**3 - 7*i**2 - 9. Determine d(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1706 plus -12458?\nAnswer: -12457.8294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 5*a + 6. Let y be u(2). Suppose 0 = -10*s - y*s + 70. Solve s*m - 12 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b + 6. Let j(y) = 11*y + 13. Let m(h) = -6*j(h) + 13*v(h). Let i(u) = -4157 + 4*u + 4157. What is -i(q) - 2*m(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 36 = 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 795 = 5*a, 3*g + 0 = 3. Let c = a - 81. What is the remainder when c is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16398, 16450, 16502, 16554, 16606?\nAnswer: 16658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -128, 33, -1, -2.\nAnswer: -128, -13, -2, -1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35717 and 26740?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k = 2. Let w = k - -3. Suppose 4*z + 380 = u + z, -2*z + 1883 = w*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -552, -597, -654, -729, -828?\nAnswer: -957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 67*u**2 - 81*u + 733. What is v(68)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 11*g**2 - g + 4. Suppose -4*l + 21 = -23. Let s be z(l). Let p(f) = 4*f**2 + 19*f. Does 21 divide p(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8800 and 123200.\nAnswer: 123200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -1363, -2520, -3697, -4900, -6135, -7408?\nAnswer: -8725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8547\/693 + 2\/(-6). Factor -18*f**3 + 0 + 27\/4*f**2 + w*f**4 - 3\/4*f.\nAnswer: 3*f*(f - 1)*(4*f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -129*k + 127*k - k**4 - 2 + 0 + 24*k**2 + (-k + 3*k - k)*(-6*k**3 - 4*k**3 + 2*k**3) + 2*k**4 + 2*k**2 - 2*k**2.\nAnswer: -7*k**4 + 24*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*sqrt(27)\/(sqrt(225)*-2).\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6256531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 105\/(-140) - (-1 - 43\/4). Suppose 0 = -i*o + 4*o. Solve 6*y = y - v - 24, v - 1 = o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.28, 1, 5, 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a*a**(-5)))*a)**(3\/14))**(-5\/6) assuming a is positive.\nAnswer: a**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 311057982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 79. Let v(b) = b**2 + 11 + n*b + 32*b - 113*b + 41*b. Calculate v(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 488 + -509. Let v = f - -460. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 100, 180, 284, 418, 588, 800?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 7*n**2 + 2. Let y be d(-7). Let s = y + 10. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 + 0*u + u + 4*u**2 - 2*u**3 + 0*u**2 - u**4 to the form m*u**2 + b*u + q*u**4 + v*u**3 + j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pol when three letters picked without replacement from pclsoposplolol?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 0.035296.\nAnswer: 0.135296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**5\/60 - h**4\/8 + 2*h**3\/3 - h**2. Let x be i(-4). Let c be 3\/(-6)*(0 + x). Is 0 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -15 (c) -2\/15 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o = -3*c - 39, -4*o + 2*c = 34. Does 14 divide o\/(-65) + (-2362)\/(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 0.3?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/13628832 and 31\/23860.\nAnswer: 68144160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -11) + 3 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/15)\/(1159\/285 + -4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*b = -161*b + 83*b - 36. Solve -3*m + 2*m + 2*y + b = 0, -5*y - 15 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 9*u - 7. Calculate h(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1781080 divided by 89054.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 147 = -4*n + 4*k, 0 = 3*n - 4*k - 106. Let p be (0 - n\/(-14)) + (-30)\/70. What is the second biggest value in 3, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 2*p**7\/21 + 794*p**6\/15 - 398*p**5\/5 + 1433*p. Factor w(o).\nAnswer: 4*o**3*(o - 1)*(o + 398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 5*l + 7. Let f be g(5). Let j = -7 + f. What is the derivative of j - 8 + 5*o**3 + 6 wrt o?\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w**3 + 43*w**3 + 45*w**3 - 23*w**3.\nAnswer: 87*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y - 30 = -40*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.078, 1\/3, 5278, -16 in descending order.\nAnswer: 5278, 1\/3, 0.078, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 29. Let x be (0\/(-8))\/(-11) + -2. Sort i, 4, x in descending order.\nAnswer: i, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2115*n**2 + 7*n + 61. Let i(g) = 704*g**2 + 2*g + 21. Let u(x) = -7*i(x) + 2*r(x). Differentiate u(f) wrt f.\nAnswer: -1396*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t + 2 + 2*t - 3 - 10*t. What is the tens digit of j(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 2.6, 2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637 = -12*j - 577 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*c + 614, c + 3*n = -3*c - 609. Calculate the common denominator of 1 + (-8)\/(-24)*c\/(-14) and -49\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by ((-2)\/12*2*8)\/((-44)\/198).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 22 = -10. Solve 5 = -i*q - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/7)\/(d\/(d**(1\/2)*d)*d)*(d*d**(-6)*d*d)\/(d\/d**(1\/3)*d) assuming d is positive.\nAnswer: d**(-241\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 13*q**2 - 8*q + 49. Let d be z(-12). Is (d*-1)\/(33\/(-335247)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79970450 divided by -2450.\nAnswer: 32641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-7 - (-6 - (-5 - -4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -387, -384, -381?\n\"Answer: 3*i - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165051.7cm to kilometers.\nAnswer: 1.650517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*n**2 - 16*n**2 - 4 - 7 + 13 to b + k*n + i*n**2 and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 6 (b) -0.4 (c) -8.8 (d) 1\/6 (e) 14.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -3. Let u = q + 1. Is 4\/16 + (-175)\/u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/9*31\/(1953\/81)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3)*(0 + -9). Suppose g - 5*k + 14 = 0, k = o*k - 8. Let q(x) = x + 1. Is q(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 19*b - 27. Suppose -41 = -5*t + 4*l, -l = -t + l + 13. Sort -2\/11, -13, b, t in descending order.\nAnswer: t, b, -2\/11, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 589\/(-124) - (-6 - -1). Find v such that -p*v**2 - 1 + v = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) -5 (c) -13\/3 (d) 2\/1149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*j**3*q**3 - 27*j*q**3 - 7*q**3 + 35*q**2 wrt j?\nAnswer: -33*j**2*q**3 - 27*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w - 1. Let r be z(-1). Let a be 6\/(-4)*(-32)\/(-12). Let x = a - r. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v*v**(1\/2))\/(v\/v**(-2\/15)*v**(1\/4)*v)*(v\/v**0)**(2\/47)\/((v\/((v*v**(1\/6))\/v))\/(v**(4\/7)*v)) assuming v is positive.\nAnswer: v**(-80987\/19740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 89.61 and 22121.\nAnswer: 1982262.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**5 - 2*s**5 - s**5 + (1 + s**4 - 1)*(2*s + 2*s - 6*s) - 963 + 963 - 3*s**5 + s**2.\nAnswer: -4*s**5 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 327332\/2360 + -125 + 1\/((-5)\/6). Suppose 3\/2*f**3 + 22*f - 6 - z*f**2 = 0. Calculate f.\nAnswer: 1\/3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - -0.6. Let g = u + -2.3. Which is the closest to -1? (a) -4 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7775 divided by -1555.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 5*v - 4*q - 160 = 0, -2*v - 3*q = -64. Suppose 5*d = -2*j - 3*j + 35, -3*d = j - 5. What is the highest common factor of v and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajtj when four letters picked without replacement from {d: 8, a: 6, j: 2, t: 2}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v - v**2 + 5*v + 2*v**2 + 7 - 1. Let c be q(-8). Suppose -3*n + c + 6 = 0. Sort n, 3, -3 in increasing order.\nAnswer: -3, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 32175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38009 or 266067\/7?\nAnswer: 38009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**7\/420 - l**6\/60 - l**5\/30 + l**3\/3 - 2*l. Let c(s) be the second derivative of t(s). Factor c(v).\nAnswer: -2*v*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (2 - (22 - 12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 474 - 471. Are a and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -3*q**3\/2 - 3*q**2\/2 + 26*q + 2. What is s(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 97515*m**3 - m + 341026 wrt m.\nAnswer: 292545*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12403 <= -12404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 107565\/12 - 3\/4. Let l = -27118\/3 + y. Let v = 77 + l. Is v > -8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 628974 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - 0.96. Let f = -0.9 - g. Let u = -0.2 - 0.8. Which is the third biggest value? (a) -0.5 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 151*i**3 - 2*i**2 + 2*i + 25. Let m(l) = 301*l**3 - 4*l**2 + 4*l + 57. Give 4*m(n) - 9*v(n).\nAnswer: -155*n**3 + 2*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 627 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + -1. Let v = t - -61. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1))\/i**(-8))\/((i*i**(-2\/7))\/(i*i**3))*i**6*i**(-3\/4)*i**(1\/6)*i**(-6) assuming i is positive.\nAnswer: i**(899\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {h: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7278364517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 51. Suppose 3*i = -19*p + 23*p + 11, -3*p = 4*i - 48. Calculate the lowest common multiple of i and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 + 0 + 0 - 3*r**2. Let g(k) = 81*k. Let t(n) = -5*n. Let l(z) = 2*g(z) + 33*t(z). Determine y(l(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (-4 + sqrt(28)))*-2 - (4 + sqrt(7) + sqrt(28)\/sqrt(4))*-1 - (5 + (0 + sqrt(14)\/sqrt(2) + (sqrt(7) - (sqrt(28)\/sqrt(4) + -4)))*5))**2.\nAnswer: 58*sqrt(7) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.319226kg to grams.\nAnswer: 1319.226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-13)\/(-7))\/((-15)\/105). Let o be 6*(d\/8)\/5. Determine y so that -2\/15 - 8\/15*y**2 + 4\/15*y**o - 8\/15*y + 4\/15*y**5 + 2\/3*y**4 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*((2 + sqrt(1300))*-5 + (sqrt(1300) + sqrt(1300) + sqrt(1300)*1 + 0)**2) + 3).\nAnswer: -50*sqrt(13) + 11687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18 - -9)*(-1)\/15. Let g = -0.2 - -1.2. Sort 4, g, m in ascending order.\nAnswer: m, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 + -2. Let o = -0.5 - a. Let t be 2\/7 + 66\/(-84). What is the nearest to t in o, 2, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 54165 = -5*y, 0 = 504*d - 505*d - y + 10829. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101331 + -10?\nAnswer: 101321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.7 (b) 2 (c) -1\/4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113898797?\nAnswer: 829, 137393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 9 + 1)*(80*i + 10*i**2 - 80*i)*(-3*i**3 - i**3 + 6*i**3).\nAnswer: 280*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12827112.\nAnswer: 2, 3, 17, 149, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-112)\/(-84))\/((-68)\/(-1478847)) a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-3)\/(-1)*-1. Suppose 2*o = -g*o + 4. Suppose w = -5*x + 51, -26 - 11 = -w + o*x. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -2999978?\nAnswer: -2999978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddyddrykdy. Give prob of sequence ddy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146 - -73. Suppose 5*h - 16*r + 18*r + 351 = 0, 4*h + 2*r = -278. Is h greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeemjneeewewnrwem. What is prob of picking 1 w and 1 m?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*((-731902)\/(-116))\/((-2)\/(-4))?\nAnswer: 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037903 rounded to 4 dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79986928*p**5 - 35051030*p.\nAnswer: -1599738560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.663 + 3480\nAnswer: 3479.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 2, i: 1, f: 2, h: 2, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2007 + -433.\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**7\/840 + t**6\/480 + 42*t**2. Factor g(z).\nAnswer: z**3*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 626.3785 millimeters?\nAnswer: 0.0006263785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 14 = 215*k - 211*k, 2*z + 12 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(72)\/sqrt(3)) + sqrt(65)\/(sqrt(5)*2) + 4)**2.\nAnswer: 8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/673 + -14801\/3365. Which is smaller: n or -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgpppgpppg. What is prob of sequence ppp?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3856170779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -d76 (base 14) to base 3\nAnswer: -10122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 10. Let i be p(9). Let h = 3 + i. Differentiate 0*v + 0*v + h - 5*v**3 - 2 with respect to v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*t - 1615, -3*t + 483 = 4*y - 810. What is the highest common divisor of 720 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 0 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 23. Let q = 82 - l. Suppose -149 = -4*k - q. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5734, -11454, -17174?\n\"Answer: -5720*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 9, -2 in ascending order.\nAnswer: -2, -3\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.32 and -5?\nAnswer: 56.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1958 and 174353.\nAnswer: -341383174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*m - 59*m + 28 = 0. Let q be (2 + m)\/((-7)\/(-63)). Let t = q + -65. Calculate the remainder when t is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -7371723?\nAnswer: -7371715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 4 + 4)*(-10896 + 10896 - 2220*x**3) to the form r*x**2 + u*x**4 + h + g*x**3 + s*x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 176150?\nAnswer: 176152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 1*(-7 + 5). Solve -2*d + 14 = -2*a - j*d, -4*d = -3*a + 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + (-9 - -13)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20704 is divided by 177.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/110*1955 + 14\/4 + -3. Calculate the highest common factor of h and 1666.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956.6 rounded to the nearest ten?\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130103 + 103201?\nAnswer: -20302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmxqpqvvvvqvvvvpvv. What is prob of picking 1 x, 1 v, and 1 m?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 1, u: 1}. Give prob of sequence uss.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20723 to 3 dps.\nAnswer: 0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2869?\nAnswer: 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1964*l**2 + 8*l + 18. Let i(c) = -9815*c**2 + 41*c + 90. Let v(r) = 11*h(r) - 2*i(r). What is the second derivative of v(f) wrt f?\nAnswer: -3948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 divided by 6?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y + 117. List the prime factors of l(-10).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1328 + -1271. Calculate the smallest common multiple of s and 7.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.435 rounded to 1 dp?\nAnswer: 58.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -r + 12. Suppose -g - 5*y - 21 = -5*g, 5*g - y = r. Let m = -0.2 - 0. Which is the third biggest value? (a) g (b) -2\/11 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23985)\/(-1230))\/((-52)\/(-48))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12031.41 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 602.5325 litres in millilitres?\nAnswer: 602532.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 + 4 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.21.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13345 and 19939?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9338 = 80*k - 78*k. Suppose -4*t = -5*l - k, t - 3*l = -6*l + 1180. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 3*z**4\/2 - 4*z**2 - 3*z - 2969. Let g(q) = 1 + 3*q**2 - 1. What is b(g(m))?\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4924045 - -13?\nAnswer: -4924032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -404 + 405. What is the closest to -7 in u, -2\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 1492 in descending order.\nAnswer: 1492, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -273\/84815?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/15 + (-5)\/(700\/18548). Let d = 132 + o. Let y = -0.02 + -0.04. Sort d, -2, y.\nAnswer: -2, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from {l: 1, q: 3, d: 2, w: 1, g: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*l**3 - 202*l**3 + 103*l**3)*(-4 + 5 - 2)*(-2*l + 2*l + l + (-6 + 0 + 4)*(2*l + l - 6*l)).\nAnswer: 357*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 6*o + 576. Let d = -4176 + 83451\/20. Find the common denominator of d and -7 + ((-1208)\/o - -8).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41a - -24?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 56 = -4*p. Calculate the smallest common multiple of p and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-8) - 27\/(-36). Let r(j) be the first derivative of -j**5\/120 + j**4\/24 + j**3 - 3*j + 33. Let s(l) be the third derivative of r(l). Give s(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2470679353.\nAnswer: 22483, 109891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + k - 185 + 179, -2*k = -5*d + 33 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*-745*8\/(-160). Let c = -677 - -211. Let z = x - c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/1264976 and -73\/11072.\nAnswer: 5059904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3*7\/2*140\/1260\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478, 1891, 4250, 7555, 11806, 17003, 23146?\nAnswer: 30235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3375*k**2 + 3441*k**2 - 10126*k**2 + 3322*k**2.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 + 4*g - 1. Let z(f) = f**2. Let j(b) = -s(b) + 5*z(b). Let n(y) = 4*y**2 - 15*y + 4. Let a(x) = -9*j(x) + 2*n(x). Determine a(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*l + 1 + 6, 0 = 3*i + 2*l - 1. What are the prime factors of (i - 0\/2) + (-4 - -156)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 >= 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4479 + 489 = 552*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4080 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c1 + 2257?\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -14*r + 3. Let q(z) = 3*z. Calculate b(q(m)).\nAnswer: -42*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10882.74 at most -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -100110010101000 (base 2) to base 6\nAnswer: -230504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllxlxlllxxxxxxxl. Give prob of sequence xll.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - c07?\nAnswer: -c02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 bigger than -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-15)\/(-5))\/((-6)\/(-146)).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 + 1702*m**3 - 6784*m**2 + 6776*m.\nAnswer: -2*m*(m - 847)*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {s: 1, o: 1, n: 1, r: 1, d: 1, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52357 and 3?\nAnswer: 157071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/23)*(s*s*s**15)\/s*s**24*s*s*s**(3\/23) assuming s is positive.\nAnswer: s**(967\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21*(-4)\/12 + 13. Solve 4*z - 5 = -5*b + m*z, 5 = 5*b - 4*z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12a5457 (base 11) to base 16\nAnswer: -224a6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 1.4?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*m - 17*m + 15*m - 306 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*p = 480, 4*d + p = -0*p + 995. Let x be (d - -1) + -5 + 5. Suppose 0 = 5*k - 6*k + x. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**2 + 365*j**3 + 10*j**2 - 26*j**2.\nAnswer: 365*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.6 + -10. Let p = m + 0.3. Let f(r) = -r. Let t be f(-4). What is the biggest value in t, 0.1, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/5)*i*(i\/(i\/(i*i**(-2\/17)*i*i)))\/i)\/(i**(-1\/3))**15*(i\/i**(-2\/21))\/(i*i**(3\/7)*i*i)*(i*i**(-1))\/(i\/(i**(-4\/7)\/i)) assuming i is positive.\nAnswer: i**(4244\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12806 bigger than 12806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r - 9 = 0. Calculate the remainder when (-2)\/(-2) - (-14 - 1) is divided by -9*((-9)\/r)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**5*v*v))**(-10\/17)\/(((((v**(2\/33)\/v)\/v)\/v)\/v)\/(v\/v**(-15))) assuming v is positive.\nAnswer: v**(10526\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/165 - 2\/10. Let v be (1 - -1) + (-60)\/33. Let z be (9\/12)\/(-1 - -2). Which is the closest to j? (a) 2 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22402001 - 1?\nAnswer: 22402000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1\/3 (c) -0.22506 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.739468 centuries to millennia.\nAnswer: 0.9739468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-175))\/(4\/100) + 4\/28. Solve -7*l - 2*w = -9*l, 3*l = -a*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ododd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4397034 divided by 354?\nAnswer: -12421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 22*g**2 + 117*g + 47. Let i be b(11). Let a = -27 - -19. Sort -2, 1, i, a in ascending order.\nAnswer: a, -2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -42. Suppose 0 = -4*s - 5*b + b + 1048, h*s - 1283 = 4*b. Suppose -8*k + s = -301. What is the remainder when k is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14816, -58219, -130556, -231827?\n\"Answer: -14467*q**2 - 2*q - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23281320773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37, -68, -103, -148, -209?\n\"Answer: -b**3 + 4*b**2 - 36*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -33. Calculate the remainder when 1 + 0 + 45 + -4 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*o + 251*c - 252*c, 4*c - 26 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h. Let q(k) = -13*k. Let c(f) = -3*f. Let y = 2 + -4. Let v(a) = y*q(a) + 9*c(a). What is v(j(t))?\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - 557188632.\nAnswer: -557188645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/616)\/(25\/(-20)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**4\/24 - v**3 + 2*v**2. Suppose -11*r = -16*r + 15. Suppose -r*g = 3*g. Determine m(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -414 (base 6) to base 4\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 331 - 2313\/7. Solve -2\/7*h**3 + x*h**2 + 0*h + 0 = 0 for h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 50128, 100269, 150416, 200569?\n\"Answer: 3*i**2 + 50132*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyt when three letters picked without replacement from {y: 2, f: 1, e: 2, z: 1, t: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172381042.\nAnswer: 2, 71, 1213951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4 + (-3)\/4. Let h = -84.7 + 41.7. Let a = -42 - h. What is the third biggest value in a, -5, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.92l to millilitres.\nAnswer: 47920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 296*j**2 + 1752*j - 51. What is g(-6)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69510413, -69510416, -69510419, -69510422, -69510425?\nAnswer: -69510428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(28\/6) - (-273)\/(-49). Let s be 76*(-5 - 33\/g). Find the third derivative of 3996*h**5 + 8*h**2 - 3996*h**5 - s*h**6 wrt h.\nAnswer: -4560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 48854. Let a(b) = 2*b. Calculate a(f(j)).\nAnswer: 2*j - 97708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -38513 divided by 6\nAnswer: -38513\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/24)\/((-1)\/(-6)). Let i = d - -10. What is the lowest common multiple of 18 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 + 315\/(-36). Let i be 4\/3 - 6\/w. Let c = -1 + 3. Solve c*g + g - i*p = 14, -2*g + 12 = -2*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2210*o**3 + 32 - 18 + 2191*o**3 - 14.\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.097 - -3.097. Sort -2\/13, 0.2, a in descending order.\nAnswer: a, 0.2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1466*v + 1457*v - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -2)\/((-7)\/(-14)). What is the third derivative of 4*g**2 + 4*g + g**2 - 4*g - 6*g**a wrt g?\nAnswer: -144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 204 - 13 + 7*t + 32.\nAnswer: -t + 223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16432 is divided by 16361.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4\/4 - 6555*p**3\/4 - 3577389*p**2\/4 + 3583947*p\/4.\nAnswer: -3*p*(p - 1)*(p + 1093)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -599.165 + 598. Let n = -0.665 - g. What is the nearest to 1 in -1\/2, 1.2, n, 0.05?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034 is divided by 312.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64562*n - 235 = 5*b + 64557*n, -5*n + 5 = 0 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136*t*z**2 - 1594*t*z - 2*t + 437*z**3 + z - 6 wrt z?\nAnswer: -272*t + 2622*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2502 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (152\/(-48))\/(14\/168).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 1. Suppose 5*z + 3*p = -69, -2*p = 5*z + 16 + 50. Let w be 5\/2*z\/(-15). Determine m(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*i**4 + 1\/2*i**3 + 1\/6*i**5 + 0 - 1\/6*i**2 + 0*i = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -6\/5 (c) 68 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 0 - (8 + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60387, -60391, -60395, -60399?\nAnswer: -60403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/2639?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*h**3 + 138*h**3 - 53*h**3.\nAnswer: 232*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2. Let c(t) = 532*t**2 + 2*t. Let d(g) = -c(g) + 6*k(g). Let m be d(-4). Round m to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyf when three letters picked without replacement from {i: 1, j: 2, y: 2, z: 1, p: 1, f: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 6275 = 2*q + 5*r, 5*r = -5*q + 6315. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 9:22 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*x - 1, 5*x + 5 = 4*f. Suppose 4*u - 17 = -u - b, 2*b = 4*u - 8. Solve -j + k + 1 = f, -j = 8*k - u*k - 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 94481447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, t: 6, p: 5}. Give prob of sequence ttt.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 4*s - 208. List the prime factors of s.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*k - 7725 = 71*k - 534 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/417?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889 is divided by (-1 - -10)\/(43\/129)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4698169 to the nearest integer?\nAnswer: 2168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 1)*3*102\/(-27). Let o = 39 - i. What is the highest common divisor of o and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 5*m - 15, w - 81*m + 83*m = 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**1\/t))**(-23)\/(t**(2\/7)\/(t*t*t**(-1\/12)*t)) assuming t is positive.\nAnswer: t**(-3643\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**5\/19 - 604*y**4\/19 - 5794*y**3\/19 + 13912*y**2\/19 + 139008*y\/19 - 336384\/19 = 0.\nAnswer: -292, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1102 and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 35 + 3)*(0*q + 0*q - 4*q)*(-1 + 2 - 2) as f + s*q and give s.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/(-18) + 6\/27. Let h be (3\/9)\/(p\/(-6)). Does 14 divide ((-41)\/h)\/((-4)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 75. Let j = u + 30.002. Round j to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -516*x**2 + 262*x**2 + 2*x + 3 + 257*x**2. Let h(q) = -9 - 8*q**2 - 4*q**2 + q**2 + q**2 - 7*q. Determine 2*h(z) + 7*i(z).\nAnswer: z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5 + 1 + 4 + y. Let h be i(-7). Suppose h*z + 15 = 4*z. What is the remainder when 44 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/8*479\/(114481\/(-956))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -55. Suppose -4*t + 0*t + 4*m = -l, 2*t = -3*m - 3. What is the lowest common multiple of t and (41 - 36) + 4\/((-2)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.3. Let t = q - 5.1. Let k = -3.02 - -0.02. Put k, t, -5\/2 in ascending order.\nAnswer: t, k, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2 - (260 + 12\/4). Let m be 8\/6 - 2\/(-3). Let p be 3 - m - c\/2. What is the greatest common factor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -67*p**3 + 2*p - 1. Let w be s(-2). Let i = w - 48. Suppose -2*x = -u - 4*u - 322, 3*x + u - i = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y - 220. Let b(s) = -11*s + 444. Give -4*b(n) - 9*z(n).\nAnswer: -n + 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 9:43 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2 - 3) + (0 - 8 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40.9 + -36. Let u = -1.1 - -1.2. Let g = u + v. Which is the closest to 1? (a) -0.1 (b) 1\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 158, 5992, 1 in ascending order.\nAnswer: -5, 1, 158, 5992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 4)*(-9*n + 2*n**2 + 9*n).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14423*t + 14464*t - 8692 = 0. Calculate the remainder when 439 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 902*-0.09585.\nAnswer: -86.4567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -181, 1, 0, 3 in descending order.\nAnswer: 3, 1, 0, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5837556 - 1?\nAnswer: 5837555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 717431343 divided by 239143781.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-407)\/(-2) + (-1)\/(-2). Suppose h = 3*y - 2*i, -y - i - 201 = -4*y. Let a = y - 30. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61 - 2b28e2?\nAnswer: -2b2881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**2 + 6*x + 7. Let g(m) = -m**2 + 14*m + 12. Let s(b) = 4*b**2 - 31*b - 26. Let o(r) = 7*g(r) + 3*s(r). Determine 3*a(p) - 4*o(p).\nAnswer: -2*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -621749 by 37.\nAnswer: -621749\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehhheeeheehhhehh. Give prob of picking 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5515251 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 9. Does 7 divide 6*2*(-6)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4978 and 128?\nAnswer: 4850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -30*v**3 + 10*v**2 - 10. Let y(u) = u**2 - 1. Determine 2*c(m) - 20*y(m).\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104926598731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 5, n: 12}. Give prob of sequence ng.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75254444 or -150508889\/2?\nAnswer: -150508889\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 76*s**2 + 35842844*s - 22637616 = 0.\nAnswer: -471617, 12\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**2 + 24*a - 104. Let w be y(11). Let t = 359 + w. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -13. What is the nearest to -0.1 in d, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169943821 to the power of 1\/3, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + 1 + sqrt(108) + (sqrt(3) - (sqrt(3) - sqrt(3)*-3))**2 + -3.\nAnswer: 12*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - 3*o**2 - 3*o. Let l be q(-1). Solve -6*a**3 - a**4 + 7696*a - 7696*a - 9*a**l = 0 for a.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69257367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 16*l + 112. Calculate the remainder when y(6) is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6253?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a8a399 (base 12) in base 3?\nAnswer: 210212212100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*x - 9254 = 223*x + 4036 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 570 - 774 - l + 204.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3459 - 38013\/11. Which is greater: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/4099?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = p - 5. Let d(q) = q**2 + 22*q + 3. Let f be d(-22). Find the second derivative of 24 + 2*j + 3*j**f - p wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18550 is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y - 2. Let h be 8\/56 + (-3)\/21*743. Let f = h + 110. Let g(i) = i**2 - 6*i - 3. Calculate f*g(u) - 5*o(u).\nAnswer: 4*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -1. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (6 - 3) - -4) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/5272 and -43\/44.\nAnswer: 57992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 - 5.86. Let n = 5 + f. Let r = n + 0. Is r bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*g + 17 - 59, 0 = 4*g - v - 39. Let f be 11625*(-8)\/g*-3. Round f to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0241837861 to four dps.\nAnswer: 0.0242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = j - 2*j, 101 = 2*a - 5*j. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 96*r - 39. Let t(x) = 81*x - 33. Let h(j) = 7*t(j) - 6*v(j). Let q(k) = -k. Let f be q(4). Give h(f).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -14)\/3*6\/20. What is the third smallest value in -0.1, 2\/17, v?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, j: 2, b: 1, e: 2, z: 4, p: 4}. Give prob of picking 1 p, 2 z, and 1 e.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955 is divided by 318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -135, -273, -413, -555, -699, -845, -993?\n\"Answer: -y**2 - 135*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*n - 41*n - 53*n + 2)*(-3*n - 4*n + 6*n).\nAnswer: 39*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 - 617 = -61*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-16) + (-2)\/(-3). Let t = j + -29\/120. What is the smallest value in 1\/10, 2\/17, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.59*451243\nAnswer: 3424934.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -4*x - 276. Let m = 40 + x. Let f(k) = -k - 6. Determine f(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - 23 - (265 + -281))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 4*y**2 + 6*y - 2. Let f be n(3). Suppose 23 = -f*q + 398. Let s be ((-2)\/4)\/(2\/(-60)). Calculate the greatest common factor of q and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -364839 > -364839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 4*h**2 + 8*h - 3. Let u be r(-6). Let j = u + 17. Let q(s) = 18*s - j*s + 14*s. Let o(y) = -3*y. Determine q(o(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 48 = 2*a, 3*a - 16 = -a. Suppose -o + 16 = 3*h. Factor -7*s**h + 17*s**2 - 2*s**2 + 15*s - 5*s**2 + 12.\nAnswer: 3*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 2490.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m - 2. Let i be b(-3). Let h be (-12)\/i + (-2)\/8. Is -1\/15 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*r*y**2 - 3*g**3*r + 394*g**3*y**2 + 2*g**2*y + 19*g*r*y**2 + 720*r wrt y.\nAnswer: 2*g**3*r + 788*g**3 + 38*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-3)\/(-3552))\/(52\/(-416))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, -8\/7, -24, -7\/5?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4*24\/(-112))\/(45\/42)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a millennium in centuries?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10391962 != -10391986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i. Let q(u) = 7286*u + 7 - 6903*u + 0 - 6. Determine q(l(o)).\nAnswer: -766*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**4\/19 - 1012*w**3\/19 + 4158*w**2\/19 + 39888*w\/19 + 55080\/19 = 0.\nAnswer: -510, -3, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s + 71. Calculate a(-41).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -85, -4, -56, -1, 4 in increasing order.\nAnswer: -85, -56, -7, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -742 + 1019 - 820 - 383*i**4 wrt i.\nAnswer: -1532*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*((sqrt(96) - 2*sqrt(96) - sqrt(96)) + sqrt(6) + -2*sqrt(864)))\/(sqrt(72)*1 + 5*sqrt(54)\/sqrt(3)).\nAnswer: 310*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 9*y - 7. Let v be n(10). Suppose v*q + m - 80 = 0, -95 = -14*q + 10*q + m. Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*l - 0*l - 18, 0 = -2*s - 3*l + 9. Let i be (-1 + (s - -3))*-26. Let a be i\/8 + (-2)\/8. Calculate the highest common divisor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3 - (-4 - (-10)\/(-3)). Solve 3*v = -4*k + t, v = -2*k - 2*v + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9815*b + 590. Let n be k(6). Round n to the nearest 1000.\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3170269678?\nAnswer: 2, 487, 3254897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 9*u**2 - 3*u + 21. Let q be r(9). Let w = -4 - q. Solve w*f - f - 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*g + 9*g. Let n = 32 - g. What is n rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*j = -146*j - 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4 - 6292*k**3 + 6287*k**2 + 25168*k - 25164 = 0 for k.\nAnswer: -2, 1, 2, 6291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.269? (a) -84\/11 (b) 3 (c) -2\/3 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 93?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7494 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.045 + -2.955. What is the nearest to -1\/3 in 1\/29, 1\/8, j?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4\/4 - 5*x**3\/4 + 14*x**2 + 15*x = 0?\nAnswer: -10, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 367 - 365. Which is the nearest to 0? (a) 0.3 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/12738 and -31\/390632?\nAnswer: 1171896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075480654.\nAnswer: 2, 43, 1613, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*m - n, -4*n + 0 + 8 = -3*m. Suppose 16 - m = 3*h. Solve 2*c + h*q + 6 + 4 = 0, -5 = -5*c - 4*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1428 and -161\/48960.\nAnswer: 342720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1314*p**3 + 4801*p**3 - 3489*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/v**5)\/(v**0\/(((v\/((v\/v**(-2\/3)*v)\/v*v))\/v)\/v))*(v\/(v\/v**(5\/4))*v*(v**(-5)*v)\/v)\/(v**1)**(-39) assuming v is positive.\nAnswer: v**(259\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + -2*sqrt(2)) + ((2*sqrt(242))**2 - -1*sqrt(2)*6).\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5255241 and 430677.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y - 2. Suppose 38*w + 83 = 5*h + 42*w, -w + 54 = 3*h. Suppose -5 - 33 = h*s. Give i(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, h: 7}. What is prob of picking 2 h?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**3\/6 + 8*b**2 + 246*b. What is y(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303792?\nAnswer: 2, 3, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1090874281*o**2 + 545437120*o**2 + 545437159*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 8*o**3 - 2*o - 6*o**2 - 2 + 5*o**2 + 31*o as t*o**3 + v + j*o + i*o**2 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39711 by -5673.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/((-30)\/8*(-316)\/(-474)*4\/(-10))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ac5 - -6?\nAnswer: -abe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250597 is divided by 134.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.037 and -0.05.\nAnswer: 0.00185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 2:10 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58826605?\nAnswer: 5, 11765321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 15713315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -156289469 rounded to the nearest one million?\nAnswer: -156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**5\/120 + x**4\/8 - x**3\/6 + 5*x. Let m(v) be the second derivative of t(v). Determine m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32071723 is divided by 5345287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y + 2*y + 35*y**2 - 11593*y**3 + 11622*y**3 + 0*y.\nAnswer: y*(y + 1)*(29*y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443814 is divided by 232.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*f**2*p**2 - f**2 + 4*f*p - 97*f - 2*p**2 - 31*p - 55 wrt f?\nAnswer: -6*f*p**2 - 2*f + 4*p - 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.077.\nAnswer: 0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 798 = -834 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 13714097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 124*n + 3. Let m be b(-1). Let x = m - -134. What is the remainder when 49 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2777 and 10774876.027.\nAnswer: 10777653.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*r - 747 - 11*r**2 + 12*r**2 - 33*r + 763.\nAnswer: r**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -31.8, -0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5283601 greater than -5283601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 2*t + 15. Let p be w(8). Let f = -62 - p. Solve -5*q + f = 2*b - 0*q, -13 = -3*b + q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 + 5*l + 2. Let q(t) = 577 - 6*t + 10*t - 196 - 192 - 187 + 2*t**3. Calculate -3*p(o) + 4*q(o).\nAnswer: 2*o**3 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 0*v**2 + 104*v - 3*v**2 - 487500 + 487500 - v**2. Let n(w) = -2*w. Determine g(n(z)).\nAnswer: -16*z**2 - 208*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 6, 1\/5, 2.1, 50?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 3*a + 2. Let y be z(3). Suppose -3*f + 9 = 0, 0 = -4*g + f + 142 + 3. What is the remainder when g is divided by 4\/y*6 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 9 + (1 - 16600004). Round o to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 31 - 1 = 0. Suppose 5*b = -n*o + 2*o + 6, 3*b - 2*o - 14 = 0. What are the prime factors of 3*(b + 19 - -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/2 - 3)*14\/(-21). Let u = 11 + k. Calculate the highest common factor of 65 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 + 2*z - 7. Let o(n) = -7*n**2 + 4*n - 14. Let j(v) = 2*o(v) - 5*t(v). Suppose 0*a - 4*a + 20 = 0. Is j(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76032071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141321 + 706603\/5. Let k(g) = -g**3. Let l be k(1). Let d be l + 1\/14*10. Which is the smallest value? (a) z (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r - 5. Let o(h) = h. Let p(s) = n(s) - 6*o(s). Let z(v) = -v + 2. Determine -3*p(f) - 7*z(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k + 22. Let l be w(-7). Suppose -3*p = -6*p + 3. Calculate the highest common factor of l and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2 - 10 = 0. Suppose 10 = y - l + 25, 2*y + 30 = -l. Let p be 20\/y - (-176)\/24. Are u and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.1, -69\/11, 2, -1\/6, 5?\nAnswer: -69\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:09 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*h**5 + 75*h**4 - 404*h**3 + 288*h**2 + 64*h - 48 = 0. What is h?\nAnswer: -6, -2\/5, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 5*l**2 - 4*l + 6. Let v be 238\/(-22) + (-24)\/11 + 2. Let a = 23 - v. Calculate the remainder when b(-6) is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 5)\/(-3) + -5 + 49. Suppose 37 + d = 5*z. Calculate the remainder when 47 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 752788\/147 + -5121. Let n be 26\/14*(-26)\/924. Let u = n + v. Is u bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 - 37*n - 210. Calculate the remainder when 223 is divided by p(-5).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/5 + 20262*a**2\/5 + 6117724*a = 0. What is a?\nAnswer: -1334, 0, 11465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-18) - (9 + 723583\/(-42)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**2 - 11. What is l(5)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21104711*r**3 - 17395328 wrt r?\nAnswer: 63314133*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w + 2*w - 90. Calculate the remainder when 34 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from evvuu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.991520902 rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 13*g**2 + 37\/60*g**5 + 0*g**3 + 0*g**4 + g + 0. Let u(c) = -3*c**2. What is o(u(d))?\nAnswer: 333*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111110010010010 - 11?\nAnswer: -10111110010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 770467*g**3*k**3*s - 3566*g**3*k**2*s + 8*g**3*k - g**2*k**2 - g*k**3*s - 3*s wrt k?\nAnswer: 4622802*g**3*s - 6*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -10120?\nAnswer: -10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92.141 + -10.389. Let o = -103 - k. Let m = o + 0.4700038. What is m rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.8455 * -0.4.\nAnswer: 15.1382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 2}. What is prob of picking 2 e and 1 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1104, 0.3, -0.3, 8, -1\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385039.\nAnswer: 385039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21373057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 3*w - 4. Let d be r(3). Let u(q) = q**2 - 7*q - 44. Let i be u(-4). Sort d, -2, i.\nAnswer: d, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-20)*40\/12. Suppose 3*r = -4*h + 24, -5*h - j*r - 16 = -47. What is the remainder when 8 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 498391, 996671, 1494951, 1993231?\nAnswer: 2491511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-427825)\/102678 + 2314\/564\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-42) + 640\/(-1120)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233616858.\nAnswer: 2, 3, 38936143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -17.955. Let d = -5.755 + s. Round d to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m + 3*m + 132. Let u be (-3 - m)\/(-1 - -3). Solve 2*x + 2 = w, 2*x + u - 2 = -4*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((((sqrt(162) + -1)*6)**2 - sqrt(162)) + sqrt(162) - 4*((sqrt(162) + 2)**2 - sqrt(162)))*1.\nAnswer: -10408 + 1512*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57081, 56984, 56885, 56784, 56681, 56576?\n\"Answer: -h**2 - 94*h + 57176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 2426050*i + 7278195.\nAnswer: -5*(i - 485213)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 5*z**2 + 172*z + 309. Determine q(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -409632 + 288083. What is t rounded to the nearest 100?\nAnswer: -121500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 7\/2 (c) -5.8 (d) -4 (e) 7\/10 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfug when four letters picked without replacement from gsfuufkgsugksigsii?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18701\/2 + -246237\/26. Let w = -120 - g. What is the nearest to -1 in 0.2, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 447975 and 825.\nAnswer: 447975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4 - 2*w**3 - 6*w**2 + 2*w + 4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -15*r**2 - 3*r - 1. Let p be i(-1). Is p at most as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 + -19 + 87 - (-12 - -113)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 + -221?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 - 6352*v**2 - 319539*v - 3591522 = 0.\nAnswer: -33, -17, 6402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146947*d**3*g**3 + 60*d**3*g + 7*d**2*g**3 - 3*d*g**3 - 137786*g**2 wrt g.\nAnswer: -881682*d**3 + 42*d**2 - 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 384653 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*d*o**3 - 4006*d*o**2*w + 3*d*w - 834*o**3*w - 6*o**3 - o**2*w + 5*o*w wrt o.\nAnswer: 48*d - 5004*w - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2264*s**3 + 4682*s + 8475573.\nAnswer: 6792*s**2 + 4682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express n - n**3 - n - 4*n**2 + 4*n**2 + 3*n**3 + (143 + 31*n**2 - 143)*(-1 + 1 + n) in the form i + k*n**2 + q*n + p*n**3 and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 - -97.999801. Round d to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 211 - 211 + 15*m in the form n*m + z and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18415180 is divided by 5167.\nAnswer: 5159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36 - ((-12)\/4 - -2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1471976 take away -7?\nAnswer: -1471969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5 = 4*x - 1, -5*x - g = 9. Calculate the common denominator of -28\/5 and (4\/28)\/(x\/22).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113744577 to the power of 1\/3, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4454844 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 212218*h**2. Let g(z) = -z**2. What is g(r(p))?\nAnswer: -45036479524*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 63. Suppose g*z = 3*z + 286. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273004 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4598284022, -4598284025, -4598284030, -4598284037, -4598284046?\n\"Answer: -k**2 - 4598284021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/12)\/(6\/2918646) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.095 + -0.095. Let t = 4414\/45 - 486\/5. Let f = t + -67\/45. What is the second smallest value in i, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3804*i + 105275 = 230807 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dussdusddsdssdwld. Give prob of sequence uw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.32 - 0.26. Let d = 1.2 - k. Let n = -0.14104 + d. Round n to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2880, -2689, -2498, -2307?\nAnswer: -2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*2 + sqrt(1700) + -2 - (2 + sqrt(1700) + -4)**2) + -1 + (-3*1*sqrt(1700))**2.\nAnswer: 70*sqrt(17) + 13593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1592646\nAnswer: -1\/530882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + (-4 - (3 + -5 + -8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463402290 divided by 6.\nAnswer: -77233715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 - -101. Find the first derivative of -2*z**3 - 4*z**3 + t*z**3 + 3 + 9 wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s. Let z(y) = 2 + 1 - 3*y**2 - 3. Give b(z(l)).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 + 62 - 15*w**2 + 17*w**2 - 2*w in the form g*w + r + c*w**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6625 + 6431.05. Let u = -194 - j. What is the biggest value in 1\/2, 4, u, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 7*w**2 - 9*w - 1. Let m be o(-6). Let x be 0*2\/16*4. Suppose x*i + i - 2 = 0. Solve -11 = -2*n - y, -3*n - i = y - m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - 10\/(-3). Suppose b + 15 = 5*j - 3*b, -4*b - 9 = -3*j. Suppose -j*d - l*p + 18 = 0, 4*d - 13 - 2 = 5*p. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + q - 8. Let l be m(6). Suppose 2*n + i - 9 = l, -2*i = n - 23. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*x - 708 + 612 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 3*q**2 + 17 - 1\/240*q**5 + 0*q + 7\/96*q**4 + 3\/4*q**3. Factor p(k).\nAnswer: -(k - 9)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -95.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 + 2*j**3 + 11*j**2 + 89*j - 3*j**3 - j**3.\nAnswer: 2*j**3 + 11*j**2 + 89*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.9755\nAnswer: 0.9755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 - -0.14. Let c be (-4)\/(-16)*(-8)\/10. Sort c, j, -2 in descending order.\nAnswer: j, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 315838087?\nAnswer: 315838087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-744)\/1302*21\/(-45))\/(3\/(-60)*6).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 p when three letters picked without replacement from {t: 1, p: 1, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -20, 21, 0.2, 4, -16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 223, 783, 1867, 3649, 6303, 10003, 14923?\n\"Answer: 29*l**3 + l**2 + 4*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 3*x + 0*x)*(-155*x + 67*x**3 + 155*x) - x**4 + 2*x**4 - 3*x**4.\nAnswer: 132*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 12*s**2 + s. Let w be y(-1). Let v = -9 + w. Solve -2*n = -d - 3, 5*d = -5*n + v*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 520 = 4*v, -r + 482 = -5*v + 7. What is the remainder when r is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-5 + 1 + 3)*(-3*q - 6 + 6).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*q + 3*k, 26 = -5*q + 4*k + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 + 0.34. What is k rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84650 by -5.\nAnswer: 16930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -47\/3*x**3 + 65*x**2 + 0*x + 119. What is the second derivative of p(a) wrt a?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2 = r, -2*r - 5 = 3*s + 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - o**2 + o. Suppose -5*a = 15, 0*a - 6 = -4*c - 2*a. Let j(h) = -171*h + 320*h + h**2 - 150*h. Determine c*b(n) + 3*j(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670059493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3047376377 to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 47 - (4 + 1 - (3 + -7)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189 + -9. Suppose n = 18*m - 13*m. What is the greatest common divisor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137772 is divided by 729?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.61 - -38.61. Let s = x + -38.5. Let t = 1 - -1\/3. Which is the third biggest value? (a) t (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5427?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23124 and 5043.\nAnswer: 948084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1836 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (696\/(-2))\/((-1392)\/116).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10908836, -21817674, -32726512, -43635350, -54544188, -65453026?\nAnswer: -76361864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51\/7313 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b**3 + 16807*b + 1\/7*b**4 + 1029*b**2 + 0 = 0.\nAnswer: -49, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 + -303. Let v = -178 - s. What is the closest to -1 in v, 2\/15, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -2*p**5\/5 + 5*p**3\/2 - 10*p. Find the second derivative of w(s) wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -5, -6, 3, 28, 75, 150?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*s - 146 + 61 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + b - 7. Let f(p) = -3 + 3*p - 2*p + 1. Let r be f(2). Let a = r - 0. Determine m(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 - (-3 + -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5136650 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 21 = 5*m + 7, -6*m + 2 - 5 - 3 = 0 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000111011 + 10?\nAnswer: 1010000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3 - 0 - (-4427 + 9 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10306 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2421*t - 1073. Does 22 divide f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -3796, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 314?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**4 + 7*n**3 - 20*n**2 + 2*n + 2372. Let o(h) = h**4 + h**3 - h**2. Let w(u) = -7*o(u) + z(u). Differentiate w(l) with respect to l.\nAnswer: -36*l**3 - 26*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -10. What is g in -2*g - 83 + g**4 - 4*g**3 + 83 + 5*g**z = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0)*(-12820)\/(-1923)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 22. Let r be (-18)\/(-4)*w\/72. Does 8 divide 63*r + -3 - -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -136, 3, 1, -521 in decreasing order.\nAnswer: 3, 1, -136, -521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1110110110011011001110 (base 2) to base 4\nAnswer: 32312123032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-6))\/r**2)\/((r*r\/(r*r\/(r\/r**(3\/4)))*r)\/r**1))\/((r**(2\/7))**(1\/4)\/((r\/r**1)\/r)**(-47)) assuming r is positive.\nAnswer: r**(1111\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h**5\/11 - 10*h**4\/11 + 94*h**3\/11 - 56*h**2\/11 + 8*h\/11 = 0.\nAnswer: -2, 0, 2\/9, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 0 + 68*o**2 - 11*o + 8*o - 1. Does 69 divide u(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556708391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897691148.\nAnswer: 2, 83, 2703889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2 - 8191*j + 73800 = 0. What is j?\nAnswer: -8200, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 23*d**2. Let y(h) = 243*h - 127*h + h**2 - 78*h - 2*h**2. What is y(r(n))?\nAnswer: -529*n**4 + 874*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 4*g + 5. Let t(r) = -r**2 + r - 1. Let s(v) = 5*t(v) + 5*u(v). Factor s(y).\nAnswer: 5*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006388554 to five decimal places.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l - 71. Let w be r(6). Let s(c) = -8*c - 38. Let i be s(w). Solve 0 = 2*q + 3*q - 3*a - 16, i = -a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6057648407.\nAnswer: 6057648407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + -4517272?\nAnswer: -4517255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/21 + (-62)\/(-3). Calculate the greatest common divisor of 60 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 22590052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {e: 1, i: 1, h: 1, x: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2 + 3*w + 6*w - 9*w + 23*w**2. Let a(u) = -u - 1367 + 1367. Determine a(p(t)).\nAnswer: -23*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*u = u - 3904, 4*u = -4*h + 3892. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41127*l**3 + 44477.\nAnswer: 123381*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -26*n + 4. Let w(c) = 12*c. Determine 4*p(a) + 7*w(a).\nAnswer: -20*a + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -3. Let a = -1.5 - 7.5. Let o = a - -9. What is the closest to o in -2\/13, -1\/4, b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5 + 6. Let d be (-537)\/54 + 1\/1. Let m = d + 9. Is m greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 88.88?\nAnswer: 44.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 342682?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -981424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277, -276, -273, -268, -261, -252?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 135 or 52?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2*u - 23 + 27 = 0, 0 = 5*z + 3*u - 34 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*s + 2*p, 4*p + 10 = 4*s - 2. Are s and 76\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803927045 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivs when three letters picked without replacement from xivsvivixjx?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 v when three letters picked without replacement from bpsspsbvsb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/6 - 15661*k**2\/3 + 81859947*k\/2 - 816512670 = 0.\nAnswer: 20, 15651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8645 = -5*m, 3*p - 3*m - m - 6484 = 0. Let l be (p\/(-81))\/(2\/(-1500)). Round l to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 + -69. Solve 3*w + q = 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -328228*p**6 - 32*p**2 - 1215 wrt p.\nAnswer: -39387360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -384 - -383. Sort p, -2\/15, -96.\nAnswer: -96, p, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/(4\/112). Let s be (7\/r)\/((-1)\/(-6)). Solve -5*i - 1 = -4*m, -i - 2*m + 0*m = s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -57*y - 1. Let k be v(0). Let m(a) = -2*a - 6 + 4*a + 2*a - a. Let x(u) be the second derivative of -u**2\/2 - u. Determine k*m(z) + 6*x(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 6:10 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19419 (base 11) in base 16?\nAnswer: 69f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(2) + sqrt(2)) + -1)**2.\nAnswer: -30*sqrt(2) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 1. Let q(d) = -3*d + 2. Let t(n) = -4*q(n) + 9*w(n). Let b(i) = 7*i + 3. Calculate -2*b(k) + 5*t(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/399 or 1?\nAnswer: 2\/399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -110. Let x be (-16515)\/(-75) - (-1)\/(-5). What is the highest common factor of x and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**0\/q*q*q)**(-42)*(q*q*q\/(q*q*(q**(-1)\/q*q)\/q)*q*q*q*q)**(1\/66) assuming q is positive.\nAnswer: q**(-8309\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10214 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 1?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 867844591?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0.3. Let m = 16 - 8. Let i = -7 + m. Which is the smallest value? (a) l (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46\/17 - -177\/34. Sort d, -1\/9, -2, 0.1 in descending order.\nAnswer: d, 0.1, -1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9\/(45\/4214)*(-55)\/(-22) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -63, -38, -13, 12, 37, 62?\n\"Answer: 25*q - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -808.097.\nAnswer: -813.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j**3\/9 - 518*j**2\/3 - 1380*j + 5216\/9 = 0.\nAnswer: -8, 2\/5, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*a + 5*k, 5*k - 4*k = 2. What is the second derivative of a*r**2 - 12*r**4 - 9*r**4 - 17*r + 17*r**4 wrt r?\nAnswer: -48*r**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104958 + 102019189\/972. What is the common denominator of 127\/1620 and t?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200940508?\nAnswer: 2, 41, 71, 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*p + 57*p**2 + 69*p**2 - 48*p**2 - 4*p**3 + 7*p**3 - 478*p + 372 = 0. Calculate p.\nAnswer: -31, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 18*r - 11. List the prime factors of g(16).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*n - 39. Let h be (2\/n)\/((-2)\/(-4)). Suppose 5*a - 20 = -5*w, -3*a + a = -2*w. What is the closest to w in h, 4\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26, -469, 4.\nAnswer: -469, 0, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1 - 1 + 4 + p**2 + p**3 - 1. Let d be w(-1). Is (-8 - -10)\/(d\/11) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 1548\/86 + 41\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1125)\/(-18))\/25*(-2)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8160 to the nearest one hundred.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1449336 is divided by 505?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20462361?\nAnswer: 3, 1597, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y + 1542 - 5456 = 0. Which is the third smallest value? (a) y (b) 2\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79238846 rounded to four decimal places?\nAnswer: 0.7924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.002 or 0.293361?\nAnswer: 0.293361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 57 = 2*d. Let l be (-12)\/(-42) + d\/7. Let w = -4993 - -4997. Solve -2*m - 2 = -w, -l*m = -a + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3 - 3*m**2 + 773128*m + 8544571 wrt m.\nAnswer: 3*m**2 - 6*m + 773128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340, -335, -326, -313, -296, -275, -250?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 0*v + 3038 - 3007 + 2*v + (-2*v - v + v)*(-3*v + v + 3*v) as t + p*v + k*v**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4111*g - 139797. What is l(-34)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 20*h**2 - 2*h - 12. Calculate y(20).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978648 is divided by 978645?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 2902.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1079.14414*0.2\nAnswer: -215.828828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**2\/2 + 11*i - 1. Suppose -30 = -9*d + 8*d. Calculate the remainder when d is divided by k(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (114\/(-4))\/(302907\/319). Let t = 5\/134 + m. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(4 - (-1574132)\/(-552)). Let b = r - -8535. Let o = -56\/23 + b. Calculate the common denominator of 121\/24 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144733081*s**3 - 126650839*s**2?\nAnswer: 868398486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/24)\/((-793)\/(-915))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.457182 + -167.2.\nAnswer: -166.742818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/52 - 4\/48)\/(-3 - -4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -19.846.\nAnswer: -18.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {j: 2, b: 2, i: 1, f: 1, s: 1, u: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -14\nAnswer: -47\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5076 - -5172. Calculate the remainder when 287 is divided by u.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 168857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4.161 (b) 94 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruuruxxx. Give prob of sequence xx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 2594 - 2696 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.7 (b) 683 (c) -2\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2960532156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 2 (b) -1\/4 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(130)*-5)\/(sqrt(40)\/(sqrt(32)\/sqrt(2))).\nAnswer: -50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -258 - -260. What is the second derivative of -138*w**3 + 73*w**3 + w**t + 70*w**3 + 112*w wrt w?\nAnswer: 30*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + 11. Let y(w) = w**3 + 12*w**2 + 10*w. Let x be y(-11). Let r(o) = -o**3 + 6. Give x*r(s) - 6*d(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 2*g - 12. Put -1, 4, g in increasing order.\nAnswer: -1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ana when three letters picked without replacement from hayhnynyhahnya?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*d - 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = -2. Let s be (k\/(-10))\/((-1)\/5). Solve a + 12 = -s*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46269*b**2 + 16190?\nAnswer: -92538*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 7*t = -11. Suppose 2*o - t + 5 = 0. Suppose o*z = j + 8, 3*j - 5 = -z + 1. Do -0.3 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/6 - 650*j\/3 - 6475\/6.\nAnswer: -(j + 5)*(j + 1295)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60864 divided by 317.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 64 = 6*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) - (sqrt(931) - (sqrt(931) + sqrt(931) + -2*sqrt(931)*1)) - (5*-2*sqrt(19) + sqrt(19) + (6*sqrt(76))**2).\nAnswer: -2736 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/3 - 60695*c**2 + c\/3 + 60695 = 0. What is c?\nAnswer: -182085, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*b + 12, 5*b + 10 = -3*h + b. Let i be (81\/(-3))\/((-3)\/h). Solve -4*q + i = 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/95249 and 11\/60613?\nAnswer: 666743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7017*a + 2. Let o(q) = q**2. Calculate o(k(y)).\nAnswer: 49238289*y**2 + 28068*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3690936435 to the nearest integer?\nAnswer: 60753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85265 + -85259.2303. Let j = 52.2339 + y. Let l = j + -58. Round l to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -837 - 633 + 3650 = -189*j - 2734 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -1, -13*j + 4*u - 112 = 27 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*109\/(-1526)*(-6)\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102646825 to the power of 1\/3, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 583849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s - 6. Let g be o(-4). Suppose -g = 5*a - 237. List the prime factors of a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 10\/6*1122\/85.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, c: 5, u: 1}. What is prob of sequence wwu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgyggcclzql. What is prob of sequence lqz?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 372 = -2*y + 387, v = -2*y + 25 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most 10118\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 268073400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4272 (base 12) to base 11.\nAnswer: 5524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3))**44)**21*(x**(-6)\/x**1)**(10\/7) assuming x is positive.\nAnswer: x**(-2782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 334536 + 334648 + 2*g + 0*g + 0*g.\nAnswer: g + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 40 = -5*n. Let c(s) = 15*s**2 + 3. Let u(i) = -105*i**2 - 20. Let l(t) = n*c(t) + 3*u(t). Let d(k) = 2*k**2. Determine d(l(o)).\nAnswer: 450*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-5 + -19) - -1. Suppose x*a = 22*a + 84. Calculate the smallest common multiple of a and 6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232116 (base 7) to base 3.\nAnswer: -2010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7 - 5*t + 8*t - t**2 + 5. Let v be o(2). Suppose -3*i = -6, v*l + 3*i - 10 = -4*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*k**2 - k**2 - 30 + 32 + 7*k**2 as i*k + z*k**2 + v and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8*(-4)\/12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 15*s**2 - 433*s - 64. Calculate o(29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1802 and 20.\nAnswer: 18020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-27\/2)*w))\/w*w*(w*w**44*w)\/w assuming w is positive.\nAnswer: w**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2384623 less than 4?\nAnswer: -2384619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/116250 and 26\/69?\nAnswer: 2673750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.4 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 55\/15*3 - (-62292)\/9666\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*z**2 - 23*z**2 + 6*z**2 + (2*z**2 - z**2 - 2*z**2)*(-4 + 3 - 3))*(5*z - 2*z - 2*z) in the form s*z + i*z**2 + a + d*z**3 and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 + x**2 + 2*x**2. Let i(j) = j - 7*j + 5*j. Determine p(i(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 81675*i**3*q + 208796*i**3 wrt q?\nAnswer: 81675*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4094 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1304?\nAnswer: -1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/6 - 1) + 2\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 9, 4*n + 4*v - 23 = 5*v. Suppose -3*d + 3*c + 339 = 0, 0 = n*d - 3*c - 264 - 295. Does 67 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 603044393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n - 2*n + n + (2*n + 3*n - 2*n)*(-4 - 1 + 3).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(sqrt(637) - (sqrt(637) + 5*sqrt(637)*2) - (sqrt(637) - sqrt(637)*2)*-4)**2.\nAnswer: 749112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u + 27715 + 96391 = 8462. Is -2515 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3788*a + 55079 + 11364 = 291*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*a + 61, -5*a + 87 = -0*a - s. Calculate the remainder when 32 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - -62. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -90 - 180. Let a = -17 + 11. Let w = a + q. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010d (base 15) to base 7.\nAnswer: -301201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2088 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**2 + 0*y**5 + 7\/6*y**3 + 0 + 1\/60*y**6 + 43\/210*y**7 + 0*y**4 - 28*y. Differentiate l(n) wrt n.\nAnswer: 172*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5 - 10. Suppose 2*w = -q - 100002, -14765 = -l*q - 3*w - 314768. Round q to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -5.9. Let n = -211.3 + 211.6. What is the third biggest value in j, n, -0.04?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 40 = -20. Suppose 0*q + i = 5*q. What is the remainder when 18 is divided by (-36)\/(-8) - (-2)\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 841994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t = -24*t + 47*t + 14 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*h - 2 = 0. Let -29*x**2 + 5*x**h - 21*x**3 + 12*x**4 + 12 + 29*x**3 - 4*x - 4*x**5 = 0. Calculate x.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -5\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -8, -30, -72, -140, -240?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**5\/3 - 3136*z**4\/3 - 3148*z**3 - 16*z**2\/3 + 12592*z\/3 = 0.\nAnswer: -2, 0, 1, 787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1*a)\/a)**(-4\/17)*(a\/((a*a*a\/((a**0*a)\/a)*a)\/a))**(5\/4) assuming a is positive.\nAnswer: a**(-93\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 17*r**5\/5 + 74*r**4\/5 - 197*r**3\/5 - 146*r**2\/5 + 36*r + 72\/5 = 0.\nAnswer: -6, -1, -6\/17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 3854.74085?\nAnswer: -3842.74085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -2) + -1 - (-21 + (21 - -6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11092, -11136, -11168, -11182, -11172, -11132, -11056?\nAnswer: -10938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/40 and 41\/100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 995 (base 16) to base 4\nAnswer: 212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 bigger than 0.079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12202 + -1002010100122?\nAnswer: -1002010120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3050*w + 70 - 70.\nAnswer: 3050*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -19*u**3\/6 - 7*u**2\/2 - 1182*u. Let a(y) = 10*y**2. Give a(f(z)).\nAnswer: 3610*z**2 + 2660*z + 490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*s + 71*s = -6. Let l be 8\/(-24) + s\/(18\/3). Solve 5*a - 15 + 5 = l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2625 divided by 5.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/4168503 and -64\/8019.\nAnswer: 412681797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/16 + (-1)\/(-4) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 0*d + 19 - 2\/3*d**3 + 0*d**2. Let h(m) = -6*m**2. What is r(h(z))?\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n - 34 + 132 - 98 - 3*n. Let u(w) = -11*w**2 + 6. Let s(p) = -221*p**2 + 119. Let g(z) = 6*s(z) - 119*u(z). Determine h(g(t)).\nAnswer: 170*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -1)\/((104\/208)\/((-12)\/684))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -100 + 16*p**2 + 100. Let o(f) = -3*f. Give l(o(c)).\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 + 30 + -1 + -7)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - ((-1 + sqrt(80) - sqrt(80))**2 + sqrt(80))) + 0 - ((sqrt(80) - (sqrt(80) - (sqrt(80) + 1 - sqrt(80)))) + sqrt(80) + 1)**2.\nAnswer: -85 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2424 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -24 (b) -2 (c) 1\/4 (d) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10e7 (base 15) in base 4?\nAnswer: -320020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s + 0*s**4 + 0*s**2 + 0 - 1\/30*s**6 + 0*s**5 + 1\/3*s**3. Find the second derivative of q(p) wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 3)*4 - 4. Suppose w = -25*d + 29*d. Is -1\/33 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -9. Let t(o) = -o**2 - 9*o + 50. Let x be t(4). Let c be (x - 0)\/(10\/(-20)). Solve -3*b - 4*p + 20 = b, 22 = k*b + c*p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c + 41 - 576 - 258 = 0 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.022 and -57.75?\nAnswer: 1.2705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 26 = -2. Let i be 7\/k + (3 - 1). Solve -i*b - 5*y = -0*y + 5, -2*b - 2 = 4*y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w + 8. Let x(r) be the third derivative of -5*r**4\/6 - 23*r**3\/6 + 189*r**2. What is 17*q(y) + 6*x(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 l, and 1 b when four letters picked without replacement from jjkjlbwwlslbsss?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/84)\/((-3)\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4484483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -2*z + 7*z. Suppose -2*u = u - z. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 11032*i**3 - 3*i**2 + 10*i - 8. Let w be q(1). Let s = -6748 + w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -612*g**3 - 2*g**2 - 12*g - 26. What are the prime factors of i(-2)?\nAnswer: 2, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0 - 63. Calculate the remainder when p is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 14 = -5*i - 369, -q - 2*i + 59 = 0. Let f = 102 - q. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 101001?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*l - 3*u + 6, -2*l + 12 = -2*u. Suppose l*q = 3*r - 13 - 2, -3 = q - r. What is the units digit of (-34)\/(-6) - 2\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 + 13*z + 8. Suppose 11*m - 123 - 123 = -30*m. Let c(r) = -4*r**2 - 12*r - 7. What is m*c(l) + 5*t(l)?\nAnswer: l**2 - 7*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*o - 129*o = 85*o - 484*o + 9250 for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18544857307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -5 (c) -7 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 123\/205*5\/6. Let t = -0.4 + -8.6. Let a = 9 + t. What is the second biggest value in -5, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -180406 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/10*(-3 - -1). Let q be k - (-1 + 1)\/(-3). Let m be q\/(-7) + 415\/35. Solve -r + 4*b + 20 = -4*r, -r - 4*b - m = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 2:47 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32300 and 94945.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f - 4. Let y be 3\/(-21) - 418\/14. Let r(t) = -t**2 - 10*t + 2. Let g be r(-5). Let b = y + g. Determine p(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141133901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349065209 is divided by 1152?\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7\/4)*r**6)\/(r*r**0*r**(-18)) assuming r is positive.\nAnswer: r**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 - 2056*n + 2058. Give h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 0, 1\/23, 0.5, -3.56, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**6\/40 + u**5\/10 - u**4\/12 + 23*u**3\/6 + 52*u**2. What is the second derivative of m(g) wrt g?\nAnswer: 18*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h - 13*h - 14 + 42 - 18*h**2 + 13*h**2. Let c be g(12). Round c to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621567643 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 14783\/6 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - -79. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d + 3. Let o = 0.33 + -0.23. Which is the smallest value? (a) -14 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1)\/(7\/35). Let m = g - 18. Is -120*(m\/(-5) - 3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 9*g**2 + 7*g - 40. Calculate z(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85229*y - 1 + 1 - 1830672*y.\nAnswer: -1745443*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a2 + -2900?\nAnswer: -2aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*q = -5*q + 11, -9 = -5*g - 2*q. Let d be (-8)\/16*(g + -1). Let s(r) = -2*r**2 + 61. What is the units digit of s(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 966, 965, 964?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.69 and 6093311.645.\nAnswer: 6093309.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93759001?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 580*4\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/(-230)*(-5)\/(-54)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144 - -162. Let r be 6\/(-21) - (-46)\/14. Let d(l) = -l**3 + 2*l**2 + 4*l + 1. Let w be d(r). Solve -3*p - 13 - z = w*v, -22 = 2*p + 3*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -21. Let a be l + (0 - 21)*-1. Suppose -a = -5*g - 2*d, -g + 3*d = -6 - 8. Solve m + g - 2 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4575.5 + 4575. Which is the nearest to 2? (a) -5 (b) s (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 21 - 91. Let x = 17 + y. Differentiate -f**2 - 2 - 2 - x wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3633 and 4369807.\nAnswer: 91765947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:32 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.044427 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253148 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c = 29*c + 260 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a + 13. Let j(o) = 9*o + 25. Suppose -11 = 6*t - 5*t. Let c(f) = t*y(f) + 6*j(f). Let q be c(5). Solve 0*r - 4 = q*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -926.5 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-123)\/22*2\/6 and 969\/102*9\/30.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2660*n**3*y + 67*n**3 + 4*y**4 - 8282 wrt y.\nAnswer: -2660*n**3 + 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147569 is divided by 73713.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -351.31 rounded to the nearest integer?\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4752 - 36?\nAnswer: -4788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crccrcrcarr. What is prob of picking 1 a and 2 c?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c**2 + 2*c**2 + 5*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -12, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z - 47*z = 30*z - 1997270. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*b + 74 - 101 = -727. Let p(l) = -l**2 + 4*l - 10. Determine p(b).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 38*n**2 - 1. Let q(b) = b**2 + 9*b + 3. Let h be q(-9). Suppose c - 4 = -h*l - 2*l, 2 = -2*c. Is r(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6651096 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.04, 20, -1.42, 2, -2?\nAnswer: -1.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 8:36 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 - 4*c. Let w(v) = 142 + 4*v + 2*v - 73 - 69. Calculate p(w(z)).\nAnswer: -108*z**2 - 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 21\/23. Which is the smallest value? (a) d (b) -1\/6 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/88935*-77*-1*5\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 3*v**2 + 2. Let m = -12 + 20. Let h(c) = 2*c - 7. Let p be h(m). Let b(s) = 4*s**3 - 13*s**2 + s + 9. Calculate p*r(q) - 2*b(q).\nAnswer: q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c - -d5?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*p - 2932 = -628. Calculate the remainder when p is divided by 132.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107344 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q - 58. Let u be j(-14). Which is smaller: u or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247*x**4 - 65*x**2 + 3*x.\nAnswer: -5928*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-10 + (-5 - -16)). Let p(m) = -m**3 - 5*m**2 + 4*m - 7. Let y be p(-6). Put 22, c, y in descending order.\nAnswer: 22, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-4)\/24*-6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.012, 2\/11, -1, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 13) + 7 + 0 + 4 + 6 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 1. Let q(h) = -2*h**2 + 4*h + 18. Let x(j) = -6*i(j) - q(j). Solve x(u) = 0 for u.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + 30. Calculate the greatest common factor of 504 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32 + 2*f**2 - 314*f**3 + 139*f**3 - 19*f**2 - 17*f - 4*f wrt f.\nAnswer: -1050*f - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(48) + 2 + 0 + sqrt(3))**2*-3.\nAnswer: -237 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2. Let m(i) = -i**2 + 22 - 22. Give u(m(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 7*r - b = -2853, r - 3*b = 577. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181 or -16?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.55 - -2.25. Let u = -15.7 + v. Put 5, -2, u, 0.11 in decreasing order.\nAnswer: 5, 0.11, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/11 - 320*c**4\/11 + 16452*c**3\/11 + 90320*c**2\/11 - 16450*c\/11 - 90000\/11 = 0. What is c?\nAnswer: -200, -5, -1, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -940 + 940.2. Let b be (0 - 0) + (-70)\/480. Let l = b - 3\/16. What is the second smallest value in -2, o, -10, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -122*p**4 + 45*p**4 - 12*p**4 + (2*p**3 - p**2 + p**2)*(0*p + 2*p + 0*p) + p + 2*p**4 - p.\nAnswer: -83*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -484490 <= -484477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1087, 1088, 1089, 1090, 1091, 1092?\n\"Answer: u + 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/98 and 115\/42?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -202482151*n**4 - 105367872*n**2 wrt n.\nAnswer: -4859571624*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -378 + 404 + 2 + -38.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -379 + 383. What is the lowest common multiple of 86\/18 + (-10)\/(-45) and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4500) - (-1*-2*sqrt(4500) + sqrt(4500))) + sqrt(4500) - -1*sqrt(4500)*-2)\/(sqrt(576)*1 - (sqrt(144) - sqrt(144)*-3)))**2.\nAnswer: 1125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 4, 6044 in descending order.\nAnswer: 6044, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -1. Let n = 266 + -265.96. What is the closest to -0.1 in 5, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 3. Calculate j(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**5\/20 - 5*d**4\/6 + 7*d**3\/3 - 9*d**2\/2 - 10*d. Let y be f(9). Calculate the highest common divisor of 27 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6869259 + -8.\nAnswer: 6869251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/36)\/((-2)\/16). Let v = -4 - -6. Suppose 3*y - v*q - 14 = -2*y, -q + 2 = 2*y. Solve -y*n = x*n - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 330 * -2.82327.\nAnswer: -931.6791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 - 5*f + 3. Let v be d(1). Let p = 0.015 - 0.315. Which is the biggest value? (a) 2 (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 139, 140, 145, 154, 167?\n\"Answer: 2*a**2 - 5*a + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119 - -69. Let v be (-6)\/(-15)*p\/(-120). Which is the closest to 0.3? (a) v (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15148 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38)\/57*(3\/2 - 0). Let f be (h - 0\/(-1))*-4 - -2. Solve -f*m + m = -2*s - 10, 0 = -5*m + 4*s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1\/10, -3\/14, 12\/5, 0.2, -4?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 764659445 or 764659446?\nAnswer: 764659445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35304 - 317398\/9. Factor t + 2\/9*q**2 - 52\/9*q.\nAnswer: 2*(q - 13)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -687, 0.3, -0.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*v + 5474 = -528*v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 212372?\nAnswer: 1486604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.998135 + -26. What is m rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383516012?\nAnswer: 2, 11, 73, 139, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 49*g**2 + 13*g + 19. Let z(t) = 8*t**2 + 2*t + 3. Determine -6*s(p) + 39*z(p).\nAnswer: 18*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from kkkgkkgkgkgkgk.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227499, 227483, 227457, 227421, 227375?\nAnswer: 227319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(-20)*(-4)\/14. Which is the second smallest value? (a) -3 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*o + 1 - 3 = -2. Suppose 0 = g + x - 3*x + 3, 3*g - 21 = -4*x. Let y(r) = -g*r + 4*r + 0*r - 22. What is y(o)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*c - 15*c + 26*c + (c - 5*c + 14*c)*(1 + 4 - 4) - 40*c + 55 - 55.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/901, 3, -5, -4, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -568 or -669?\nAnswer: -669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -246*a*c**3 - 2*a*c**2 - 222*c**3 - 2*c wrt a.\nAnswer: -246*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2 (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8792\/41762 + 388\/(-38)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 27*s - 116. Let v be c(-20). Calculate the highest common factor of v and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14023805.\nAnswer: 5, 19, 43, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*2 + 5.\nAnswer: 5 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:00 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/9*0\/1. Suppose -i = k - 2*i - 2, -12 = -5*k + 4*i. Let n = 0 + k. Solve x*s + n*s = 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69091\/285 + 1383\/95. Let h = r + 228. Which is the fourth smallest value? (a) -0.2 (b) 2\/7 (c) -0.1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 4 - 7*c**3 - 3 + 105*c**3 - 6 wrt c.\nAnswer: 294*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 50 = 4*q + 15*w - 11*w, -5*q - 73 = -11*w for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -34*(2 + 483\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -6009, -3, 2, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/12 + 5*g**3\/2 - 1153*g. Let j(t) = 7*t**2. Determine j(f(w)).\nAnswer: 7*w**4 - 210*w**3 + 1575*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-66)\/99 + (-38)\/6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 133941 and 133947 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8805, 17617, 26431, 35247, 44065, 52885?\nAnswer: 61707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 27576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 113 = k, 4*v - 2*k - 91 + 9 = 0. Factor -4 + 14*u**2 + u - u**3 + 12*u**2 - v*u**2.\nAnswer: -(u - 4)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d**4 - 5*d**4 - 3*d**4 + 1 + 5*d**4 with respect to d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1 = 2*w + 11, 4*w - x - 16 = 0. Suppose -4*t = 5*a - 187, 2*a = -w*a + 3*t + 166. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26898972 divided by -9?\nAnswer: 8966324\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**5 + 7*x**4 - x**3 - 2*x**2 + 2*x - 5. Let v(w) = w**5 + w**4 - w**3 + w - 1. Let a(m) = -10*v(m) + 2*z(m). Determine s, given that a(s) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2638672564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -580.88436 rounded to zero dps?\nAnswer: -581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29 + 0.49. Which is the biggest value? (a) h (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*a - 6 = -k, -2*k = a - 5. Let d = 44 - 23. Calculate the smallest common multiple of d*(4\/(-3))\/(-2) and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**3\/4 + 2659477*j**2\/2 + 1772985*j\/4 = 0?\nAnswer: -1\/3, 0, 1772985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 527306 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43531 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 0*h - 3*h)*(0 - h + 0 + (4 - 2 - 1)*(5595 - 328*h - 5595)).\nAnswer: -329*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3927419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 371 - 5*v**3 - 2*v - 371 in the form l*v**3 + o*v**2 + z + n*v and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 317213617 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8752 is divided by 352.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-319)\/(-29)*(0 + 36 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*t**2 + 5944\/3*t - 4416392\/3.\nAnswer: -2*(t - 1486)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c - 118. What is the lowest common multiple of 62 and y(15)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5778, -5791, -5800, -5799, -5782?\nAnswer: -5743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 507, 1009, 1511, 2013?\nAnswer: 2515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 + 27794544*a**4 - 64378139730906*a**3 + 386268087933072*a**2 - 579401756673507*a = 0. What is a?\nAnswer: 0, 3, 4632421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.939729 minutes in nanoseconds?\nAnswer: 536383740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 16*f + 403. Calculate the remainder when q(-20) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 - 0)*-2*2\/16. Let y be (t + -5)\/(5\/(-20)). Calculate the highest common divisor of 104 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*6\/(-6))\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6057.6123 to 0 decimal places.\nAnswer: -6058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 4675.\nAnswer: -1\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 451610 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*q + 95*q = 665. List the prime factors of q.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 12:30 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 19 + 11*r - 2 to d + n*r and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49\/228 + 2\/57. Let w = 4.99 - -0.01. Let r = w + -1. Which is the second smallest value? (a) g (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7*h - 40 = 0. Sort -3, h, -1\/3 in descending order.\nAnswer: h, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 196740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -191*u - 11. Let y(m) = 185*m + 12. What is -7*d(r) - 6*y(r)?\nAnswer: 227*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-147 + 147 - 6*y)*(-33 + 67 + 54)*(3 + 1 - 3) to k*y + d and give k.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 1:04 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -292, -1629, -4008, -7429, -11892, -17397?\n\"Answer: -521*x**2 + 226*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -671413*g - 16785327. What is n(-25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 9:30 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 176, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110000110020101 + 0?\nAnswer: 2110000110020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*x - 108 = 154*x. Let v be (-6)\/(-8) + (-405)\/x. Let f(m) = -6*m**3 - 4*m**2 - 2*m. Let d be f(-3). What is the highest common divisor of v and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -6\/11 (c) -3 (d) 0.15 (e) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 286.2117 + 390302\nAnswer: 390588.2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11001 - 10000011?\nAnswer: -10011012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(7) + sqrt(14)\/sqrt(2)*4)**2 - (sqrt(7) + 1 + sqrt(847))).\nAnswer: -36*sqrt(7) + 522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4995, 9752, 14507, 19260, 24011?\nAnswer: 28760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -238 + 239. Solve 4*t = 3*p - v + 4, -5*t - 5*p = 40 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 1. Suppose -v*f - 4 = -12. Suppose 0 = 2*o - 4*o - 2*p + 22, -4*p + 4 = 0. Solve f*c + 3*c = -o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1278 times 4?\nAnswer: -5112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17710 by 55.\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = q - 40. Let c be (q\/6)\/(1\/4560). Round c to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -32*k + 26*k. Suppose 26*c = 25*c + k. Calculate the remainder when c is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*2803 + (2 - 0). Let i = n + 10604. Round i to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12314391 is divided by 6157107?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375935 is divided by 19786?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 207\/(-36) - 2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - 1*sqrt(220)*4)\/(-1*sqrt(490)))\/((sqrt(396) - (-5*-2*sqrt(396) + sqrt(396) + sqrt(396)))*6).\nAnswer: -sqrt(2)\/924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 9:55 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = 16. Suppose 0 = 1781*k - 1774*k - 70. What is the common denominator of -7\/5 and (-689)\/455 - (i\/k)\/(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**5\/60 - o**4\/12 + 6*o**2. Factor s(x).\nAnswer: x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03012203591 rounded to six dps?\nAnswer: -0.030122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-264)\/(-968)*2\/6.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 18. Suppose 0*j = j - d. Suppose -4*f = -12, -4*f = -i - i - j. Calculate the highest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 24*c = -2*o - 5388, 2*o = -5*c + 26892. List the prime factors of c.\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 15 = 5*z, -30*z = -y - 34*z + 5. Suppose -19 + 9 = -g. Solve 0 = -y*h + g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**3\/6 - o**2\/2 + o. Let g(c) = -c**3 + 17*c**2 - 16*c + 5. Let j be g(16). Give u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18356 divided by 4589.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 14*c**3 + 87*c**2 + 168*c + 5. Determine b(-2).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212 - 20?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -8. Let z be ((-20)\/q)\/(20\/(-8) - -3). Solve z*c - l = -6*l + 50, 0 = -3*c + 3*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -184*u**3 + 5*u**2 - 7*u - 13. Is y(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*(sqrt(605) + -1 + sqrt(605) + -5)*-2*-5)**2.\nAnswer: -237600*sqrt(5) + 2210400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/48 and (-15)\/(-3)*114\/95?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 28*q = 4. Solve -9*d**q - 6*d + 3*d**2 - 9 + 5*d**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7 + 470*t + t**3 - 937*t + 470*t - 5*t**2. Give j(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -11583.073?\nAnswer: 2316.6146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 0.19?\nAnswer: -48.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3876 + -3672. Let w = 101 + -65. Calculate the greatest common divisor of i and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (58\/(-4))\/(6\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, w: 4, u: 6}. Give prob of picking 1 w, 2 u, and 1 j.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -149.2? (a) -0.08 (b) -32 (c) 1\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 78 = -41. Let f(o) = -o - 16. Let b be f(m). Let h be b\/((-9)\/(-66))*3. Solve t = -5*r - h, -r = -t + 2*t + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 443788 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29580 (b) -1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6*-6 + 92. Calculate the highest common divisor of a and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138335 is divided by 4151.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*u**4 - u**2 - 18*u**4 - u + 0*u**3 + 2 - 47*u**4 - 2*u**3 to j*u**3 + k + w*u**2 + p*u + s*u**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115\/(-920))\/((-2)\/129*6\/(-224)*-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6001\/99 + 177908\/6435. Let b = a - -270\/13. What is the common denominator of -8\/11 and b?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + m - 15. Let w be o(-5). Suppose j - 4*s = -11 - 6, -3*j = 2*s - 19. Determine v so that 0*v + 0 + 3\/2*v**j + 0*v**2 - 3*v**4 + 3\/2*v**w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 17 + 27. Let j(u) = -3*u - 37. Calculate the remainder when n is divided by j(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1218 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 608 (base 10) to base 8.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 7*r**2 + 2*r - 10. Suppose 0 = -6*k + k. Suppose k = -3*w + 4*h + 17, 32 = 5*w + 3*h - 6*h. What is the units digit of x(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(891) - sqrt(891))*-3 - (1 + sqrt(33)\/((sqrt(36)\/sqrt(3))\/sqrt(4)))**2.\nAnswer: -8 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.011 and 65?\nAnswer: 0.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 + 2412 = -304*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10039696 or -10039694?\nAnswer: -10039696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3829014 - -11428994. Suppose 5*b + u = 2*q, b = -3*q + 6*b + 11399980. Round q to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, u: 4, a: 3}. What is prob of sequence ayaa?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -2. Let p = l - -3.2. Let y be (-6)\/40 + (-2)\/8. What is the nearest to y in 3, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*h - 98*h + 13*h)*(-3*h - 4*h + 5*h)*(0 + h + 0) + (15*h**2 + 7*h**2 - 6*h**2)*(0 + h + 0).\nAnswer: 268*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 7, 4, 27, -29 in increasing order.\nAnswer: -29, 4, 7, 27, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 1\/9 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -2, 7\/20, -0.6, -0.2?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a8 - -22?\nAnswer: 40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32642171369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-8))\/((-55)\/44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2539200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 23*u**2 + 66*u + 100. Let p(y) = y**2 + 11*y - 1. What is -o(q) + 6*p(q)?\nAnswer: -17*q**2 - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -5 - (2 - 6)) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9830861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 406152735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688249946.\nAnswer: 2, 61, 5641393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 6:27 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*(k**(1\/7)*k*k)\/k*k*k*k\/(((k**(2\/9)\/k*k)\/k)\/k))\/((k**(1\/4)*k*k)\/k*k*k)**12*(k**(-2\/3)\/(k\/(k*k**(-1\/3))))\/(k*k**5*k**3\/k) assuming k is positive.\nAnswer: k**(-2462\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -974*l + 1674*l - 1503*l.\nAnswer: -803*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12591597 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2\/3 - 76*z + 1568\/3 = 0. What is z?\nAnswer: 8, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*d + 4. Let f = 138 + -235. Let z = -41 - f. What is the smallest common multiple of z and d?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*k + 132*k - 110*k + 975. What is the remainder when 1848 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*d**2 + 29*d**2 - 621*d**2.\nAnswer: -767*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n - 3. Let m(p) = -11*p + 5. Give -5*k(u) - 3*m(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88101514.\nAnswer: 2, 17, 37, 59, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 300, 1202, 2706, 4812?\n\"Answer: 301*l**2 - l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3379, -6987, -10523, -13951, -17235, -20339, -23227?\nAnswer: -25863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2*j**2)*(4*j + 0*j - 3*j) - 51*j**3 + 3*j**3 - 5*j**3)*(66 - 4*j - 66).\nAnswer: 220*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.95 + -14.1066. What is m rounded to 3 dps?\nAnswer: -0.157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1028\/20 - 8\/20. Let s(h) = -h**2 + 19*h - 21. Let q be s(14). Let f = u - q. Solve 14 = 4*y + t, f*y + 0*t + 2*t = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12988350 divided by 6\nAnswer: -2164725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3 - 18*m**2 + 14 + 18*m**2 wrt m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1530*i = 1528*i. Solve 7*c - c - 24 = i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3066888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2 - 2*l + 185. Let u be a(-16). Let q = u - 1062. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*d + 77 = 0, 0 = x - 5*x - 10*d + 186 - 160 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 806 (b) -2\/211 (c) -9 (d) 0 (e) -5 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32341572 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 16 - (0 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b**(-34\/5)*b)))\/b**31*b**(-48)\/(((b**(-11)*b)\/b)\/b))**32 assuming b is positive.\nAnswer: b**(-11488\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 4\/11*a**2 - 8\/11*a**4 + 18\/11*a**3 + 0 = 0 for a.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*y + 30796 = -900*y - 11948 for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 27*a - 72. Determine z so that 70 + 165*z - 17*z**a + 7*z**3 - 106*z**2 + 233*z**2 - 82*z**2 = 0.\nAnswer: -2, -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*p + 6 = 0, 2880*j + p + 2 = 2878*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1659975 and 135.\nAnswer: 14939775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18610 or -5?\nAnswer: -18610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 359 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2, 4*w - 4*c = 72 + 12. Suppose 38 = 4*o - 3*z, -5*o + 3*z + 26 + w = 0. Let b = o + 13. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 1:05 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 5 (b) 0.12 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 51, 64, 93, 144?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132*o + 142*o - 351*o)*((-2*o + 0 + 0)*(5 - 3 - 3) + 2*o - 2*o + 2*o).\nAnswer: -308*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12135, 4, -5 in decreasing order.\nAnswer: 4, 0, -5, -12135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(1 + -2))\/(3\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -168*a**3 + a**2. Let j(h) = 167*h**3 - h**2. Determine -6*j(g) - 5*y(g).\nAnswer: -162*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*d**3 + 1 - 27*d**3 + 43*d**3 - 4 + d**2 in the form h + x*d + n*d**3 + i*d**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96103535 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 7*w**2 - 11*w + 17. Let i be m(9). Suppose -i = -10*u + 6*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000165624965 to seven dps.\nAnswer: 0.0001656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o + 6. Let g be a(0). Let k(z) = 1255*z - 13. Is k(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-12))\/((-2750)\/330)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2298138 to the nearest integer?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 32\/5 of a gram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 3:35 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*w + 9 = 205*w. What is the smallest common multiple of 79 and (-2)\/w + 26\/3?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -7*h, 3*q + 35*h - 29*h + 48 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + 2*q**3)*(0*q + 0*q + 5*q)*(-1 - 2*q + 1).\nAnswer: -20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 8928?\nAnswer: 44640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u + 2*q - 80 = 0, -4*u + 4*q + 92 = 0. Suppose g + u = 43. Let x = -55052 - -165157\/3. Which is greater: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 - 6*y - 4. What is the smallest common multiple of i(4) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -106 + 3 - (362 - 434)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933032033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 7875, -3, -68, 2, -5 in descending order.\nAnswer: 7875, 2, -3, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*p - 4 + 33448*p**2 + 3265*p**4 - 33482*p**2 + 2*p wrt p.\nAnswer: 78360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 58*d - 6. Let b(u) = 2*u + 255. What is g(b(v))?\nAnswer: 116*v + 14784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:12 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(342))\/sqrt(6) + sqrt(57))\/sqrt(3) + -3*(sqrt(19) + sqrt(57)\/sqrt(3))*-3)**2 + -1.\nAnswer: 7599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 3:59 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 r when three letters picked without replacement from rcrq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 20, 0 = 2*p - 2*n - 3*n + 114. Let y = p - -82. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkhcvvvhuvuvuvvv. What is prob of sequence cuv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 32740240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 202 + 198 = 0. Solve -2*d + 3*r - o = 6, 8 = 4*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g + 2. Let v be k(1). Let p = 25 + v. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 50. Let q(w) = -2*w**3 + 4*w**2 - 4. Let i(s) = 1 + 1 + 4*s**3 - 5*s**3 + s**2 - 3. Calculate v*i(j) + q(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (135\/10)\/9 + (-45)\/(-10). Solve 2*z - 3*r = -z + i, 0 = -z + 4*r - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*s + 234*s - 682*s + 227*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -820 - -2691. Suppose 2*d - 2*l = -4*l + 1880, 2*d + 5*l = h. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ossfsoesoo. What is prob of picking 1 f and 1 e?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 3*b**2 + b + 31. Let i = 13 + -9. Let u be i\/(-8) - (-4)\/(-8). What is g(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k + 16*k - 9*k - 6*k + 5. Let c(m) = -m + 1. Give 6*c(l) - s(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/39? (a) 128357 (b) 0 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*x**3 + 34*x**3 - 13*x + 49*x**3 - 2*x**2 - 102*x**3 to the form p*x**2 + q*x + k*x**3 + n and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 9\/214?\nAnswer: 9\/214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/1*13\/26. Suppose j = 5*k + 3 + 2. Let z be (-22)\/16 - k - 0. Which is the nearest to 1\/6? (a) -5 (b) -1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 + 3*l**2 - 3*l**2 - 4 + 2*l - l**4 - l**2 to the form u*l + r*l**4 + b*l**2 + a + g*l**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.056 + 0. Let p = 4.054 + -4.44. Let h = o - p. What is h rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3, 0.08, -124?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -47 - -45 - (-769)\/385. Let z = d - 76\/385. Sort -1, z, -0.1, 4 in descending order.\nAnswer: 4, -0.1, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593086613?\nAnswer: 7, 67, 1264577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -439 + 428 + (-3 - (0 + (2 - 25) + 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a factor of 1559408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 358956 and 624.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 106 = -5*m, -j - 4*m = j + 68. Let w be 6\/j + (-40)\/14. Does 17 divide 54 + w + -1 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypy when three letters picked without replacement from cpycpcccccccpccycyc.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271 - 80 - 82 - 2*o**2 - 109.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1502, -1471, -1412, -1331, -1234, -1127, -1016, -907?\n\"Answer: -w**3 + 20*w**2 - 22*w - 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 5\/5 + 80 - (1 - -8).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -71. Suppose -t = -2*a + 6. Let m(q) = -q**2 + 18*q - 2. What are the prime factors of m(a)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -73684 (b) -4.3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/(16 - 2) - (0 - (-54)\/(-12)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 0 + 13\/6*p**3 - p + 0*p**2. Let c(g) = 8*g - g - 4*g - 6*g. What is c(n(f))?\nAnswer: -39*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*n - 602 = -485*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhhf when four letters picked without replacement from hvvfhhhvhfhhvvvhfoh.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002 + -22120113000?\nAnswer: -22120111332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 1) + ((14 - 26) + 7 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40.2 - 40.3. Let k = -1 + 0.7. What is the closest to y in 0, k, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6402?\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 0. Let j = 57.4 - 89. Let u = s - j. Which is the fourth biggest value? (a) 1 (b) -2 (c) u (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - 94) + 2 - -148?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*k - 3*i - 1, 0 = -4*i + 8. Suppose -8 = -k*o - 0. Let a(h) = h**2 - 14*h + 25. Let g be a(12). Is o greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 320\/(-15)*16\/(-144) and -17\/1059?\nAnswer: 9531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/159124 and -85\/3432532?\nAnswer: 24027724","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**2 - 11*u + 33. Let x be g(5). Suppose -9*i + 14*i + 5 = 0. Let r be (i - -4)*-1 - -19. What is the highest common divisor of x and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 133 = -2*s - 69, 198 = 4*t + 2*s. Suppose -c + 40 = c. What is the greatest common divisor of t and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.694777 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 24*z**2 + 187*z**4 + 75*z**3 - 363*z**4 + 185*z**4 - 84*z + 71*z**2 - 23*z**2 = 0.\nAnswer: -7, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.7 - 7.8. Let d be (-40)\/(-12)*(-9)\/2. Let u be 3\/d*(2 + 2). Does s = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.66 - 0.36. What is the second biggest value in w, -0.1, -0.5, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (-1 - 4 - (9 - -3)). Let s be 2 + 272 - o*(-8)\/24. Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - k - 69 = u, 3*u = 3*k - 81. Suppose -54*w - 1800 = 3*w + 63*w. Let s = w - u. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 185*i**4\/18 - 139*i**3\/3 + 22*i**2\/3 + 239*i + 3. Factor y(j).\nAnswer: 2*(5*j - 11)*(37*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a + 19. Let o(q) = 6*q - 28. Calculate 8*l(b) + 5*o(b).\nAnswer: -2*b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(1 + -9)*-4 - 381. Let h = 29 + y. Let n = 507 + h. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jajjjxwjhxqxajjjq. Give prob of picking 1 w, 1 x, and 1 a.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2520 - -44525?\nAnswer: 47245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -7 (c) -3 (d) 0.5 (e) -2\/7 (f) -171\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 128?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*y**3 + 127*y wrt y.\nAnswer: 540*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 3*q**2 + 8895*q**3 + 9404*q**3 - 26994*q**3 + 9865*q**3.\nAnswer: 1170*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-7)\/(-21)*3 - (-6)\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 88.32864cm?\nAnswer: 883.2864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -709 greater than -6.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-2 + 9 - 2). Let z = 0.578 - -0.022. What is the smallest value in s, z, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -4 - 13 - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69124 or 71184?\nAnswer: 69124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 708616373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = -6. Let l(q) = 6*q - q**r - 6*q. Let p(t) = 3*t - 2*t - 4*t + 4*t. Give p(l(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 176\/84 + (67\/(-42) - (-15)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 182*d**3*m**2 - 101*d**3 - 12*d*m**2 - 11*d wrt m.\nAnswer: 364*d**3*m - 24*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 230286261*b + 474852. Let g(m) = 16974*m + 35. Give 67836*g(w) - 5*j(w).\nAnswer: 16959*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, q: 5, j: 5, e: 1}. Give prob of sequence ej.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1424\/998309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w - 6*w + 1 + 2*w. Let d(h) = 2*h + 2. Determine -4*d(f) + 5*j(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g**2 + 3 - 3 - g)*(-2 + g + 2).\nAnswer: 8*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -26, -10, -1 in increasing order.\nAnswer: -26, -10, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*j - 7. Suppose -f + 2*h = 26, f - 2*h + j = -5*h. Let v = -24 - f. Solve v*a - 5*b = 3*a + 11, -4*a - 13 = -b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18812670.\nAnswer: 2, 3, 5, 627089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*u**2 - 148*u**2 - 68*u**2 to the form s*u**2 + w*u + a and give s.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b. Let d(a) = 2*a**2 + 10. Determine g(d(z)).\nAnswer: 6*z**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*p - 98 = -214*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3 + 13 + 4 - 3*h**2 + 18*h + 7*h. Give k(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 759675 - 1935651803\/2548. What is the common denominator of -51\/16 and q?\nAnswer: 10192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7820472 litres to millilitres.\nAnswer: 782.0472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -340*x**2 + 1. Let s be c(-1). Let y = s - -784. Let b = -7563\/17 + y. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*d + 4*b + 1, -3*b = -6. Suppose d*n = 6*n + 2120. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 9*g**2 - 11*g - 9. Let l be a(-7). Suppose 5*z = 2*p - p - 121, 2*p + 70 = -3*z. Let t = z - l. Solve 0 = -2*x + t*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/20 + (-22)\/(-4). Suppose -m = 3*w - a, m - 5*m + 4*w = -4. What is the third derivative of -3*r**6 + 2*r**2 - 2*r**5 + m*r**5 wrt r?\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 15*y**4\/8 - 23*y**3\/2 - 15*y**2\/2 - 258. Factor g(h).\nAnswer: 3*h*(h - 5)*(5*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**5\/60 - 5*l**4\/12 - 11*l**3\/3 + 351*l**2. Determine n(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 12:38 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 + 26*j - 7. Let g be z(5). Let i = 2 - 1.6. Which is the closest to 0.1? (a) -4 (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2621993911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 126\/(-92) - 1\/(-1). Let k = z + -3\/23. Let g be (-2)\/4*(-1)\/2. What is the third smallest value in g, k, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0782074 millilitres?\nAnswer: 0.0000782074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.00558nm in millimeters?\nAnswer: 0.00001700558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*sqrt(448) + 2 + (sqrt(448) - -6*(sqrt(448) + (2 + sqrt(448) - sqrt(448))))))**2 + 0.\nAnswer: 896*sqrt(7) + 7364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9523*c + 348 = -9494*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 88 * 8\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*n + 153 + 130 - 276.\nAnswer: 44*n + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93818812?\nAnswer: 2, 23454703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**3 - 503751*r**2 - 5037285*r - 12593025 = 0.\nAnswer: -167907, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15226 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q - 14. What is r(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236 is divided by 136.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*((-2*(sqrt(190) - (sqrt(190)*-3 - sqrt(190))))\/(sqrt(160) - (sqrt(160) + (sqrt(160) + 3*sqrt(160) - sqrt(160)))) + 0).\nAnswer: -5*sqrt(19)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-45)*-5)\/(-18))\/(23\/690).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 5:08 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -216 + 270. Let g be (-8)\/6*(-27)\/d. What is l in 0*l + g*l**2 + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 197, 297, 407, 533, 681, 857, 1067?\nAnswer: 1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-4 + 5*x - 4*x + 3)*(-12*x - 16*x + 31*x) + 216 + 56*x**2 - 216 + (-3*x + 2*x + 2*x)*(6*x - 3*x - 5*x).\nAnswer: 60*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95573251 to the nearest integer?\nAnswer: 9776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -767625918.\nAnswer: -767625917.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2 - (105\/(-10))\/(-7). Suppose -j - 3*j + 1148 = u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1.48, -4.2, -0.05, 0.5 in decreasing order.\nAnswer: 0.5, -0.05, -2\/7, -1.48, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -22*q**2 + 6*q + 2047. Let k(g) = -18*g**2 + 5*g + 2048. Calculate 5*i(r) - 6*k(r).\nAnswer: -2*r**2 - 2053","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*i + 5 = 0, 5*z - i - 15 = 4*i. Suppose -j + 2*q = -12, 3 = j + 3*q + z. Suppose 0 = -d + j*d - 42. Let c(p) = p - 3. What is c(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.19 + -1.19. Suppose -9*t + 11 = -10*t. Let q be (5\/(-1 - t))\/5. Which is the nearest to k? (a) 0 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 19\/(-7))*21\/6. Sort 4, b, -2, 3 in decreasing order.\nAnswer: b, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 13) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -258*s**2 + 8*s + 8. Let p be b(-4). Let x = 2010853 - 28093857\/14. Let h = p + x. Find the common denominator of h and -143\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 480 = -11*o. Let z = 228 - o. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a + 7858?\nAnswer: 7906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 125 - 22*f - 125. Let h(j) = -j. Calculate c(h(z)).\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -692*k**3 + 352*k**3 + 342*k**3 + 13*k**2 to the form x*k + l*k**3 + p*k**2 + b and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 1 - 4*b + 37. Let x = 33 - 15. Calculate the smallest common multiple of l(-6) and x.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 332292030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -147 + 3?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -277 + 1?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -202?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2057) - (-2 + (sqrt(2057) + -1 - sqrt(2057)))))**2.\nAnswer: 66*sqrt(17) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 - f**2 - 2*f - 1. Let n be j(-1). Suppose -3*i + n*i = -3. Suppose -z = i*z - 16. Solve -o = 4*t + 4, z*o - 2*t = -t - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 4*f + 2. Let l be s(4). Let t = l - -45. Solve -3*w - 2*z + t = z, z = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/10*161\/((-144256)\/(-43680)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5520587506.\nAnswer: 2, 7, 394327679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6382 (base 9) in base 13?\nAnswer: 219b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 5. Give h(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001221120 (base 3) to base 7.\nAnswer: 115344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 52*g - 127 - 46. Solve 50 = 4*s - 3*k + 37, -g*s - 3*k = 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.302 + 0.1692. Let q = 0.0128 + r. Which is the smallest value? (a) -0.1 (b) q (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Suppose -3 = 2*j + 5*d - 0*d, 2*j = 5*d + 27. Suppose 0 = -n + j*n. Solve -a*o - o = n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6 + 6 - 10*r + 8 - 23 + 30*r. Suppose 0*a - 5*a = 150. Let z(l) = -3*l + 2. What is a*z(h) - 4*s(h)?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6590279 rounded to 1 decimal place?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1004, -1063, -1120, -1175, -1228, -1279, -1328?\nAnswer: -1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -1598\/409849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.3, -65, 10\/21, 11?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - c**2 + 1. Let f(y) = -23*y**3 + 9*y**2 - 9. Determine -18*d(t) - 2*f(t).\nAnswer: 64*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, i: 5, y: 7, k: 4, c: 2, d: 1}. Give prob of picking 1 i, 1 k, and 1 c.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 623156.1us?\nAnswer: 623156100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Let c(g) = 1617*g**2 - 479*g**2 + 6600*g**2. Give h(c(t)).\nAnswer: 15476*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/((-153)\/(-18)*3)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1771\/(-22)*(6\/6)\/(28\/(-8))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36730*b + 48 = -36718*b + 4*x, 5*b + 12*x + 42 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**10\/840 - z**6\/40 + 5*z**3\/3 + 3*z. Let k(u) be the second derivative of o(u). Find the third derivative of k(c) wrt c.\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1.32 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 78 (b) -0.2 (c) -4 (d) 3\/2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7 - 19*z + 26*z.\nAnswer: 7*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**4\/4 - 89*s**3\/4 - 32*s**2 + 31*s = 0.\nAnswer: -2, 0, 2\/3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16, 0, -2, -5 in decreasing order.\nAnswer: 2, 0, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 + 2 - 2 - 36*v**2.\nAnswer: -29*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + 3654. Let w(s) = 45*s**2. Calculate l(w(d)).\nAnswer: -4050*d**4 + 3654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126056 (base 7) to base 6.\nAnswer: 301432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v - 6 - 15*v + 4*v. Let b(z) = -3*z - 5. Let h(x) = -6*b(x) + 5*r(x). Let g(i) = 7*i. Calculate h(g(p)).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 92*h**3 + 657*h**2 + 4*h - 4. Let k(s) = -369*s**3 - 2628*s**2 - 15*s + 15. Let g(z) = 15*d(z) + 4*k(z). Find the third derivative of g(x) wrt x.\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 23. Let u = o + 5. What is the units digit of (3*-5)\/(u\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ddcb - -1?\nAnswer: -ddca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 1 + 3, 3*m + 4*w = 1. Let l(d) be the first derivative of 3 - 9\/4*d**4 + 1\/3*d + 3*d**m - 3\/2*d**2. Factor l(y).\nAnswer: -(3*y - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1802744 + 3289926. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 1:01 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-131)\/24 - 1\/3. Let y(d) = -d**2 - 20*d + 14. Let n be y(-22). Let j be (6*(-8)\/36)\/((-4)\/n). Is g at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 425720251*d**5 - 333328717*d**2 wrt d.\nAnswer: 25543215060*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -824*i**4 + i - 1 - 1 + 1644*i**4 - 826*i**4 - i**2 as s*i + c*i**4 + v + a*i**3 + m*i**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245051119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118104*j = 118096*j + 384. Calculate the greatest common factor of 4056 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 12, 2*n - s + 23 = 5*n. Let u be n\/(-36) + 193\/4. Calculate the highest common divisor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -53*q + 980. Let w be l(5). Let i be (-26 + 0)\/(7\/((-210)\/12)). Calculate the highest common divisor of w and i.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -114167188*b**2. Let d(n) = -n**2. What is d(m(i))?\nAnswer: -13034146815827344*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 m when four letters picked without replacement from {m: 9, s: 11}?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 12:16 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r - 6*r - 42 = 0. Find the second derivative of -1894*g**r + 62*g**5 + 1894*g**2 + 130*g wrt g.\nAnswer: 1240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 118131?\nAnswer: 118132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*h - 12 = -304*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**3 + 50*t**2 + 166*t + 1695. What is m(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 32. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.28 - 0.02. Let u = 66 + -41. Let y = u - 26. Which is the closest to -2\/7? (a) y (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 1) + (-35)\/(-5). Suppose -4*j = 3*x - 335, -g*x + 336 = 4*j + x. What are the prime factors of j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9357 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -5, 240, -9, 0 in descending order.\nAnswer: 240, 0, -1, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 0.9?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.1 and 29928987647.\nAnswer: 29928987648.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 3}. What is prob of picking 2 x and 1 l?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/(-39) - 3494\/(-6). Suppose 0 = -5*a + 2*p + 2869, 1143 = 3*a - 3*p - f. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(5\/3))\/a*a)\/(a**(-1\/8)*a))\/((a*a**(2\/5)*a)\/(a\/(a*a**0)*a)) assuming a is positive.\nAnswer: a**(-353\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 69 + 93 - 16)*(14*h - 3 + 4*h + 6).\nAnswer: 18*h**2 + 2631*h + 438","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - -0.23. Suppose q + 1 + 3 = -s, 0 = -4*q - 20. Let i = 0.4 + -0.2. Which is the nearest to s? (a) f (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 divided by -4?\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240619 is divided by 108.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66.45 + -66.52. Is -11 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2565 + -610?\nAnswer: -3075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10700, -42791, -96278, -171161?\n\"Answer: -10698*w**2 + 3*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226522 and 3342268?\nAnswer: 4274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 187*t - 24049 + 21805 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p + 5. Let b(z) = -z + 1. Let a(v) = 5*b(v) - g(v). Let r(u) = 16*u. What is a(r(s))?\nAnswer: -176*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 + 99. Suppose p = -5*n + 4*y - 33, 0*n + 35 = -5*n + 5*y. Which is the second smallest value? (a) 3 (b) 14 (c) n (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**6\/30 - 3*y**5\/20 + y**4\/12 + 293*y**2. Factor q(u).\nAnswer: u*(u - 2)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 9*n**2 + 42*n - 57. What is the remainder when 4437 is divided by b(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - 3. Let t = o - -8. Is t smaller than 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - o + 19 = -2*o, 2*o + 20 = -3*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2483975 and 11?\nAnswer: 27323725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2 + 3456*j - 8. Let p(c) = -6*c. Calculate i(p(o)).\nAnswer: 216*o**2 - 20736*o - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91690653 and 372?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - -112. Let h(u) = 2*u - 10. Let x be h(8). Find the second derivative of 9*g - 25*g**4 + d*g**4 + x*g**4 wrt g.\nAnswer: -108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 15*b - 23. Let l be f(-13). Let k(j) = -j**2 - 3*j + 4. Let c be k(l). What is the third smallest value in 1\/2, c, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 548\/5 - 110. Is 1 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/21)\/m**(-2))\/((m*m*m*m*m**0*m)\/m**4)*((m*m**(-3\/2))\/(m**(-5)\/m))**3 assuming m is positive.\nAnswer: m**(731\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85905*z**2 - 70871615*z + 8250.\nAnswer: -5*(z + 825)*(17181*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -38035\nAnswer: -4\/38035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(468) - ((sqrt(5200)*-1 - sqrt(5200)) + sqrt(5200)))\/((-5*sqrt(100) + sqrt(4))*-1)*-2.\nAnswer: 5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 1. Let n = -1 + 4. Suppose -n*r = 2*r + w - 14, -10 = r - 3*w. Suppose 0*y - 2*y = r. Give z(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115666 and 12684?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49*(1316\/(-119) + 11) - 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 42*y + 58. What is f(-6)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -401431 and -401431 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1411*a - 1425*a - 126 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*z - 10*z - 17*z - 8*z - 16*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 14*u**3 - 42*u**2 - 8*u + 21. Let s(l) = 13*l**3 - 42*l**2 - 8*l + 14. Let n(j) = 4*a(j) - 6*s(j). Factor n(o).\nAnswer: -2*o*(o - 4)*(11*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164 + -26. Let r be 1 + 0 - (0 - 2). Suppose r*l - u = l. List the prime factors of l.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 317 - 2?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11734 + 11794. Solve 119*n = s*n - 413 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*p + 2. Suppose d = 2*d - 5*x, -2*x + 2 = 0. Let t = p + d. Is t bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 60*w**2 + 128*w + 454. Is b(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 e when three letters picked without replacement from {z: 5, n: 2, e: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7359 (b) 3 (c) 2\/9 (d) -19 (e) 1 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/5996, -0.5, -13, 0.26, 0.16, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1618*6\/(-12) - 2 is divided by 47.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-12 + (20 - 9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 22*b**2 - 24*b + 15. Let u be q(23). Let l be u\/(-20) - ((-737)\/(-5) + 5). Which is bigger: l or -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 274, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2\/27, 0.7, -0.4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29\/6 - -5. Which is the third smallest value? (a) 1 (b) l (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3748898358?\nAnswer: 2, 3, 208272131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8171, -65394, -220707, -523154, -1021779, -1765626, -2803739, -4185162?\nAnswer: -5958939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 4. Let c(v) = 1 - v + 2 + 2 - a. Determine c(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n. Let s(v) = -4*v - 3. Let a(z) = 3*z + 3. Let i(q) = 5*a(q) + 4*s(q). Let j be i(n). Solve j*t + t = 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3494.166 millilitres?\nAnswer: 3.494166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4604 + -4606. Which is the second smallest value? (a) 5 (b) 0.09 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0103601143 to 6 decimal places.\nAnswer: -0.01036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172655229 to the nearest integer?\nAnswer: 13140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 - 70. Let u = j + -35.15. Let f = 0.35 - u. Which is the closest to -0.1? (a) -5 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40867860.1 rounded to the nearest 1000000?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/19 and -35\/492?\nAnswer: 9348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-192 + 24*m**3 + 192)*(-1 - 3 - 4)*(m - 4*m + m).\nAnswer: 384*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*s + s + 34, -14 = -2*s + 2*r. Let l be (172\/(-387))\/(((-2)\/9)\/1). Suppose -t = -4 + l. Solve -t*v + s - 3 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4769\/36 + -1148\/9. Let n = -17\/3 + r. Which is the nearest to -1? (a) -2\/3 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4167*c*j**3 + 61*c*j**2 + c*j + 2*c - 2*j wrt j.\nAnswer: -25002*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l. Let p(y) = y**2 + y - 4. Let o be p(5). Let i(c) = c**2 + o*c - 26*c. Calculate i(k(b)).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 369 - (-1 + 44\/(-11)). What is the greatest common factor of 110 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13851)\/(-3078))\/(9\/(-92))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**4\/8 - 19*c**2 + c. Let z(g) = 23*g. Determine v(z(n)).\nAnswer: -69*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o = -237*o + 18*o - 5828 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28296562.\nAnswer: 2, 7, 2021183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -191.22 - -106.65. Let y = 85 + z. Let p = 0.4 - y. Which is the nearest to -1\/4? (a) p (b) 5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/((-1)\/2658). Suppose -14*t + 659 = 3*x - 13*t, 4*x - n = -5*t. What are the prime factors of x?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004767?\nAnswer: 947, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-380 - 232 - 713 - 166)*(2*y**5 + 3*y**5 - 4*y**5) - 5 + 3*y**5 + 5.\nAnswer: -1488*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1539 + 1452 + 2485 = -57*x - 2105 for x.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3 - -9) + -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138664 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - l**2 + 6*l + 3. Let f be g(-2). Let x = -11 - -10. Which is the closest to x? (a) f (b) 0 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -59470, -118947, -178416, -237877, -297330, -356775?\n\"Answer: 4*r**2 - 59489*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 1 = -31. Let c(j) = 72*j**3 + j**2 - j. Let r be c(1). Suppose g - q*g + r = 0. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/125661 and -16\/21.\nAnswer: 879627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyxyyfojxxouxyo. What is prob of picking 1 u and 1 j?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 334 - 29?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 7133*p + 1740633. What is s(253)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/9))**(1\/15)*m\/m**6*m*m*m*m**(6\/7)*m assuming m is positive.\nAnswer: m**(-107\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -1 + (-27 - (-9 + 11)) + 5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 295034 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -25, -1, 3\/8, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143172502?\nAnswer: 2, 11, 139, 46819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15 + 16)\/((-10)\/(-8) + -1). Let u(d) be the third derivative of 0*d + 0*d**3 + 1\/42*d**y + 1\/210*d**5 + 0 - 5*d**2. Find c such that u(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9877062 and 1946.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 272 - 270. Find the second derivative of w + 10*w**3 + 9*w**3 - y*w**4 + 6 + 57*w**3 wrt w.\nAnswer: -24*w**2 + 456*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 749 = -4*n - 645, 4*r = 4*n - 76 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3864, -14880, -33048, -58368, -90840, -130464?\n\"Answer: -3576*j**2 - 288*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87715*i**3*u**3 + i**2*u**2 + 15*i**2*u - 83*i*u**3 wrt i?\nAnswer: -526290*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2979775 to the power of 1\/2, to the nearest integer?\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h - 1. Let a be k(1). Suppose a*u = i + 2*i - 33, 5*u + 29 = 2*i. Let r(g) = g**2 + 5*g - 6. What is the lowest common multiple of r(-7) and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16269813353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-240))\/(((-1)\/15)\/((-67)\/(-2211)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cut when three letters picked without replacement from {s: 5, u: 6, c: 1, t: 3, g: 3, k: 2}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z + 33. Let j be v(-7). Let f = -2921362\/13 + 224593. Let n = 127 + f. Which is the closest to -2\/7? (a) -0.3 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10211956?\nAnswer: 2, 59, 43271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -89\/6*g**3 + 7 + 0*g**4 - 14*g**2 - 41\/30*g**5 + 0*g. Find the first derivative of y(z) wrt z.\nAnswer: -164*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -163, -210, -341, -598, -1023, -1658, -2545?\n\"Answer: -7*w**3 + 2*w - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 6, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 16, 2*s + 3*w - 62 = -42. Solve 0 = -3*n - h + 3, s*n - n - 3 = -3*h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 11:10 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 + 32 + 40*d**2 + 2*d - 104 in the form i*d + c + h*d**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1532 + 893107\/583. Find the common denominator of f and -13\/424.\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 + 3 - (-3 + 15))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1753765\nAnswer: -3507530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1010 * 113681\nAnswer: -114817810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -6\/29 (b) -111 (c) 5 (d) 0.3 (e) 2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 7*u**3\/3 - 7*u**2\/2 + 41*u. Let x be q(1). What is the greatest common factor of x and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*i + o - 78, 2*o = -5*i + 375. Calculate the remainder when i is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 3*p - 39, -100810*z + 100803*z = 4*p + 36 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 170*u + 81. Is j(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 93*h - 40. Suppose -22 = -4*m - 2*z, 7*z - 2*z + 25 = 0. Is r(m) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2439 and 97831?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 238.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 93 - (-1 + 25 + 28)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - j. Let h be 5*(4 - 8 - -3). Let q(w) = -4*w**2 + 3*w - 1. Determine h*i(r) - 2*q(r).\nAnswer: -2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14517 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 16632\/71?\nAnswer: 16632\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (-4199)\/(-169) - -7) + 165\/26?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.4 (c) 902 (d) 8 (e) 0.08 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 + -51 - 7 - (0 + -4)) + 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -14 - (-7 + 1) - 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 4:14 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43, -99, -179, -295, -459?\n\"Answer: -2*h**3 - 42*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccauucxcuocxccoxmc. Give prob of picking 1 x, 1 u, 1 m, and 1 o.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (48\/(-9))\/((-3)\/(27\/3)). What is the first derivative of -77*w - o*w**2 + 77*w + 13 wrt w?\nAnswer: -32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 11, t: 5}. What is prob of sequence ht?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 + 74*k**2 + 409*k + 14. Give u(-8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -5 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(95)*2 + ((sqrt(95) - sqrt(95)*-2)*4 - sqrt(95)))\/((sqrt(5) - sqrt(50)\/(sqrt(10)*1)) + sqrt(5) + (sqrt(245)*-2 - sqrt(245))).\nAnswer: -17*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 839151349 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9114466 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.249 take away 0.92?\nAnswer: -0.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(275)*1*-1 + -4 + (sqrt(275) + 0 + sqrt(275))**2 + ((sqrt(275) - (-1*sqrt(275) - sqrt(275))) + sqrt(275))**2 + 3.\nAnswer: -30*sqrt(11) + 5499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2020)\/9090*(-60)\/14\nAnswer: 20\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -162.098?\nAnswer: -159.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 5*b**2 - 7*b + 4. Let t(f) = f**2 - f + 1. Let h(z) = i(z) - 5*t(z). Let w be h(2). Differentiate -3*g**w - 1 + 2 + 0*g**3 wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -36*w**2 + 18*w**2 + 15*w**2. Let x(j) = 12*j. Give c(x(z)).\nAnswer: -432*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((21060\/8991)\/65)\/(-2).\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.2. Suppose -5*r + 16 = 4*i, 0 = -21*r + 23*r + 2*i - 6. Which is the nearest to z? (a) -5 (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -30\/139 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2976 divided by -93?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 4:30 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 932 - 519. Let k = t - 411. Solve -5*d = -4*w + 6, -4*w + 14 = -3*d + k*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1997 or 2?\nAnswer: 1997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from bbibgibgbibgg.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - j. Let g(c) = 67*c**3 + 22*c. Let p(w) = -g(w) - 5*r(w). Let u(k) = 13*k**3 + 3*k. Give -6*p(v) - 34*u(v).\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -18. Suppose -3*a + 5*a - 15 = -3*w, w = -5*a + 18. Suppose 0*i + w*i - 54 = 0. What is the lowest common multiple of l and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven halves of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 5, -1\/5, 5\/2 in decreasing order.\nAnswer: 5, 5\/2, 1\/9, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 3. Let z be g(54). Let a be (-35)\/(-6) + 4\/24. Calculate the greatest common divisor of z and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v + 11*v - 13950 = 0. What are the prime factors of (-31)\/(v\/348)*(-40)\/6?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 16*k**3 + 4*k**2 - 3*k + 1. Let i be -2 - ((-46)\/10 + 12\/20). What are the prime factors of u(i)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e3 + 1dbee?\nAnswer: 1dde2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025593097 to seven dps.\nAnswer: -0.0002559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v - 2*v + 3*v + (5 - 5 + 2*v)*(1 + 0 + 2) + 0 + 2*v - 4 + 5.\nAnswer: 7*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/(-6))\/((-32)\/(-1104)). Let y = v - -191. Solve 0*l + y*l = 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejerreeeeeeehj. What is prob of sequence eejr?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1745, -1547, -1229, -803, -281, 325, 1003, 1741?\nAnswer: 2527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22*3.4\nAnswer: 74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**2 + 2*z - 1. Let s be w(2). Let u = 45 - s. Let g = 14 - -31. Calculate the greatest common factor of u and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 263*p - 771. Calculate i(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69.89 + -71.89. Let k = -9\/13 - -58\/65. What is the second smallest value in 10\/13, 3, k, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.78445 tonnes to micrograms.\nAnswer: 70784450000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*v + 7, -b + 5*b = 2*v + 2. Suppose 2 = -b*f - 13, -5*m + 5*f = -40. Let p = 77 - m. List the prime factors of p.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230132476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1171*k - 180*k**2 - 1169*k - 2668*k**2.\nAnswer: -2848*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158049.\nAnswer: 397, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -145, 3 in decreasing order.\nAnswer: 3, -5, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5484777209 + 0.14771.\nAnswer: -5484777208.85229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 0.5 (b) 2 (c) 14 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 904719435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = 2093 + 9807. What is the remainder when b is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11*(4\/(-1) + 3). Let o be 2 + -17 + (-6)\/(-3). Do p and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r - 12. Suppose -115*j + 96 = -134. Suppose j*t - r = 13. Solve t = 3*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/(4\/18). Let p(v) be the second derivative of -11*v**5\/10 - v**4\/12 - v**3\/2 - v**2\/2 - 20*v. Is p(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 6\/(-3) - -3. Calculate the common denominator of -81\/2 and -6*((-291)\/99 + k).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 10*j + 1328 = 0. Calculate the remainder when j is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 2:18 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1584*j**3 - 2129950940*j**2 + 716018148637512*j + 1808126651556.\nAnswer: 4*(j - 672333)**2*(396*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.7 - -2.8. What is the third smallest value in 5, -5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 smaller than 616\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -1 + 1 + 12*d - 4*d**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 41610\/19418 - (-3602)\/119 - 32\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158487677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-5)\/sqrt(5)*3*3 - ((4*(sqrt(1573) + 3))**2 + 5).\nAnswer: -25317 - 1101*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 7 - (8 + -5). Suppose 4*g - 28 = j*x, -2*x - 4*g + 19 = -3*x. Let f be (-3)\/(42\/15 + x). Solve f = -3*m + 2*t + t, -4*t + 20 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -60, -147, -280, -465?\n\"Answer: -k**3 - 14*k**2 + 2*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6871 (base 9) in base 3?\nAnswer: 20222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3 (c) -3 (d) 12\/2449\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52221*u**3 + 5*u**2 + u - 442?\nAnswer: 313326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 823, -3 in ascending order.\nAnswer: -3, 3, 823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hed when three letters picked without replacement from bdbggbbbbheebebddg?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 7054 - 1332. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12970469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.8 + -0.8. What is the third smallest value in 1, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -11, -5, 14, 11 in decreasing order.\nAnswer: 14, 11, 1, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-112))\/(2\/70) - -259. What is j rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 not equal to -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0943 - 0.0358. Let o = -0.06 - 0.07. Let m = x - o. Round m to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -451 (base 6) to base 14\nAnswer: -c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12084 is divided by 128?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -548*z**5\/5 - 2*z**3\/3 - 69*z**2\/2 + 60. Find the third derivative of w(a) wrt a.\nAnswer: -13152*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -2 - 7) + 0 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 7:59 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -550490 or -9358344\/17?\nAnswer: -550490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 2*a = -98. Is -14 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -264 - -266. Let u = -11\/26 - -113\/390. What is the nearest to 4 in -0.1, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.9999966. Round h to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 15 - 5, -3*u - 20 = -4*k. Is -3 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/9*30\/2. What is the hundreds digit of (-2962)\/i + 2\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-23))*x*x\/(x**(1\/4)\/x))\/((x**5\/x)\/x*x**(-6)) assuming x is positive.\nAnswer: x**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -580*i*u - 3*i + u - 13333 wrt i?\nAnswer: -580*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.1. Let t be -8 + (4 + 1)*1. Let d = 0 - -4. Put t, d, l in decreasing order.\nAnswer: d, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 5, p: 5, j: 5, b: 3}. What is prob of picking 2 p?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 6*a**2 - 4*a - 3. Suppose -8 = 2*x - 2*u, -8 = 2*x - 0*x - 3*u. Let w = -8 - x. What are the prime factors of n(w)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) 8 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 + 8*i + 6. Let f(c) = 5*c**2 + 9*c + 7. Suppose 1 = -4*u - 5*y, y = -2*u + 4*y + 27. Determine u*l(q) - 5*f(q).\nAnswer: -q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -136579 - -11?\nAnswer: -136568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**3 - 9*h**2 + 7. Let c(n) = -2*n**3 - 4*n**2 + 3. Calculate 5*c(s) - 2*o(s).\nAnswer: -2*s**3 - 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**2 - 1432*w - 284258. Let i(m) = 5*m**2 + 1451*m + 284258. Let c(z) = 3*b(z) + 4*i(z). Determine r, given that c(r) = 0.\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 554473 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*5*(-3 + ((sqrt(891) - (-2 + sqrt(891))) + sqrt(891) - sqrt(891))*1 + sqrt(891)))**2.\nAnswer: -7560*sqrt(11) + 356841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -21. Let u = w - -21. Factor u*z - 25 - 5*z**2 + 11 + 12.\nAnswer: -(z - 1)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 2 - 8)*(0*p**3 + 0 - 2*p**3 - 4)*(2*p + p - p) - p**4 + 0*p**4 - 2*p**4 to the form c + d*p**2 + o*p + w*p**3 + m*p**4 and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - g - 9 = 0, -4*j + 4*g = 9*g - 9. Solve j*b - 8 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43370002 is divided by 61.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143*m - 68 wrt m.\nAnswer: -143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-6) - 1)*-2. What is the second derivative of 4*f + 2*f**a - 2*f + f**3 wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2835\/729 + 2\/18 + 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5354\/6255 + -1\/2502. What is the common denominator of 121\/54 and v?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2505*t = -2503*t + 5, -5*x + 14 = t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23094 = -10211*y + 10220*y. Is y a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (2 - 31808\/504).\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(5\/2)*(-4)\/4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6687847 is divided by 167.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -51*p + 48*p + 42302, -4*m + 14103 = p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfmfmmmfmm. What is prob of picking 1 f and 2 m?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11 - 69 + 33*b - 9*b - 12*b. Let z be c(5). Solve -5*p - z*q + 7*q - 15 = 0, 3 = -3*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 4. Let t(w) = 3 + 2*w**2 + 3*w - w - 3*w**2. Let k be t(2). Solve -5*x = s + k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 14*z**2 - 4. Let q(g) = 25*g - 627 - 25*g - 7*g**2 + 629. What is -11*q(f) - 6*v(f)?\nAnswer: -7*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 10.47 and -3.\nAnswer: 7.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005002720889 to 6 dps.\nAnswer: -0.005003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/27 + -6*1\/(-27). What is the third smallest value in 1\/2, -16, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Suppose 0 = 4*i - u + 4. Let c be (-15)\/(i - 2)*-1. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 287*0.18\nAnswer: 51.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 5*j - 2. Let k be v(-5). Let y(x) = -3*x + 106 - 252 + 134 + 42*x**2. What is the tens digit of y(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 22*o + 1 + 24*o)*(-10*o**2 + 3*o**2 - 16*o**2) to the form f*o + h*o**2 + w*o**3 + c and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - -10 - -85) + -70.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 14*o**2 + 15*o - 20. Let f be b(13). Suppose -f*z - 80 = -16*z. Suppose 19*g = z*g. Solve g*p - 40 = 4*r - 5*p, -4*r - 2*p = 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k + 3. Let c(t) = 8*t - 4. Determine 6*c(h) + 8*p(h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k*k**(-13)*k)*k*k\/(k\/k**(-1\/3)))**(8\/9) assuming k is positive.\nAnswer: k**(352\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2540 divided by 4?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -8*o**2 + 22*o + 11. Suppose 100 = -8*w + 12. Let n(y) = -3*y**2 + 8*y + 4. Let p(z) = w*n(z) + 4*q(z). Let v(f) = -37*f**2. Calculate v(p(l)).\nAnswer: -37*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, -2, 1\/137108, 0 in descending order.\nAnswer: 1\/137108, 0, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2988520 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-28)\/(-10))\/((-3)\/(-15)). Let y(i) = -i**3 + 15*i**2 - 10*i - 15. Does 14 divide y(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/18 + (-1015865)\/126. Let f = a + 8059. Find the common denominator of f and -35\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2. Let s(b) = -82*b. Determine s(l(m)).\nAnswer: -82*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 9\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 + 14*v**3 + 30*v**2 + 18*v.\nAnswer: 2*v*(v + 1)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*q - 5*q. Suppose q = 5*h + 3 - 33. Let g be 680\/h*33\/2. What is g rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4 and (2\/16)\/(20\/1488)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s = 14*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 - 3090*k**3 - 801831*k**2 - 3170340*k - 3158028.\nAnswer: -3*(k + 2)**2*(k + 513)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 17 - 74. What is the remainder when 22\/(-33)*l\/2 is divided by 2\/(-3)*(-30)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 35 + 893 = 0. Let z be (a\/132)\/((1\/(-8))\/(-1)). Suppose -x = 3*k - 9 - 7, 0 = 2*x + k - 27. What is the highest common divisor of z and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*(-435)\/(-10)*1.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-12))\/((-3)\/216). What is the greatest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/3 - 448109*s**3\/9 - 522802*s**2\/9 - s\/9 + 74686\/9 = 0. Calculate s.\nAnswer: -1, -1\/2, 1\/3, 74686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 10. Let t(m) = -m - 266. Let s(f) = -f - 312. Let h(i) = 6*s(i) - 7*t(i). Calculate 5*c(x) - 6*h(x).\nAnswer: -x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000772 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 432.637 + -0.637. Let i = w - 431.8935. What is i rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 q, and 1 p when four letters picked without replacement from {q: 2, z: 1, p: 3, x: 6}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2112 + 8102 + 3472 + 370 + 3643)*(-2*q + q - 2*q).\nAnswer: -40425*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 385, 375, 365, 355, 345?\n\"Answer: -10*a + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*x**2 - 447*x - 436*x**2 + 447*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2*(2 + -6). Let c(u) be the first derivative of -u**4\/12 - 5*u**3\/6 - 79*u**2\/2 + 50. Let t(l) be the second derivative of c(l). Give t(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10368 divided by -5184?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.05646 times 4\nAnswer: 0.22584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 578.0197ns in microseconds?\nAnswer: 0.5780197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 432950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/1000)\/((-2)\/40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -315, -635, -947, -1245, -1523, -1775?\n\"Answer: x**3 - 2*x**2 - 321*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.4, 0, 3\/20, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s + 76. Let w = s + -6. What are the prime factors of w + 2 + 0 + -1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/17 in -2\/11, 0.014, 11, 1\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 = 11. Suppose 3*f + f = 2*b + 6, -h*b - 4*f = -12. Let l(z) = z. Let m(v) = -v**2 + 6*v. Calculate b*m(n) - 6*l(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11213 - -10?\nAnswer: -11203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -14\/8744723?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**3 + 10*v**2 - 19958*v - 5. Let j(c) = 2*c**3 - 4*c**2 + 9979*c + 2. Calculate 2*g(b) + 5*j(b).\nAnswer: 2*b**3 + 9979*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (406\/(-126) - -3) + ((-555862)\/18)\/(-1)?\nAnswer: 30881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36277.8691 rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -49*f**3\/3 - f**2 + 11*f - 27. What is the second derivative of x(p) wrt p?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 + 97. Let d(v) = 11 - 8 - z*v + 5 + 23*v. List the prime factors of d(2).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21462338?\nAnswer: 2, 229, 46861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oiiooooooooo.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4\/5 + 13*u**3\/5 + 32*u**2\/5 + 4*u = 0?\nAnswer: -10, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from {j: 2, h: 4, a: 8}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a**2 - a + 1. Let t(w) = 10*w**3 - 9*w**2 - 9*w + 9. Let n(o) = 2*o**2 + 39*o + 37. Let v be n(-19). Calculate v*s(u) - 2*t(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 3520.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 9:50 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117 - 68. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -4. Let m be (-1)\/((-1)\/f) - 0. Suppose -23 - 32 = -m*y. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117869 - 14654.\nAnswer: -132523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 296\/2295 + 2\/459. Let b = 10 + -9. What is the nearest to b in 3, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8573.067 centimeters?\nAnswer: 0.08573067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.3 + 12.2. Let k = 4745 + -4748. What is the smallest value in b, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 4*d - 13. Let o = 25 + d. Suppose 8 + 8 = 2*h. What is the remainder when o is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h + 8. Let v be b(-4). Let z = v - -29. Suppose 0 = 4*o + 2*u - 476, -5*o + z*u + 357 = -2*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + 3.88. Let o be 58\/203*(-6)\/(-4). Which is the closest to 0.2? (a) o (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/12)\/(21\/42)*1068\/(-16).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2\/15 (c) 0.1 (d) -4 (e) -15 (f) 3.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w = -5*n + 52, n - 4*w - 20 = 0. Suppose 3*o - 73 = n. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:43 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188180*l**3 - 83032*l**2 - 3184*l - 32 = 0. What is l?\nAnswer: -2\/5, -2\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 r, and 1 c when four letters picked without replacement from {y: 2, f: 1, r: 7, c: 2}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -301\/5 + 60. Which is the nearest to -1\/4? (a) -7 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1834 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3675 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5879 + -5881. What is the smallest value in -3\/19, f, -5, -17, 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 42.4, -2, -3\/5 in ascending order.\nAnswer: -2, -3\/5, -0.1, 42.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**2 + 1 - 1\/6*l**3 + 0*l - 1\/24*l**4. Let v(h) be the second derivative of w(h). Let m(n) = -1. Calculate m(c) - 2*v(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31\/140 - 1\/35. Suppose 5*z = 3*n - 124, 3*z - 4*n + 1 = -80. Let x = z + 71\/3. Which is the closest to x? (a) o (b) 0 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojzjjwjjdjwdw. Give prob of picking 1 j and 1 o.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*d - 1 = 0, 258 = d + 259 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336*w = 305*w + 62. Suppose -t + 24 = 3*t. Suppose 0*d = w*d - t. What is the greatest common factor of d and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 16*g + 5. Let b(p) = -61806*p. Give b(q(a)).\nAnswer: -988896*a - 309030","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4\/9 (b) 4\/5 (c) 2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 25, 32?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i**3 + 11*i**2 - 19*i - 1. Let b(r) = -r**3 - r**2 + 2*r. Give -22*b(o) - 2*y(o).\nAnswer: 2*o**3 - 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 124 = -4*x - 16, -2*j + 98 = 3*x. List the prime factors of 3108\/(-16)*(-40)\/x.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1\/7 (c) 0.1 (d) -187113 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/35*20*-2. Suppose l + 3*l = 5*o - 2, -4*l + 18 = 5*o. Suppose 0 = -4*d + o*d + p. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2)\/l)**46\/((l*l\/(l*l**10*l))\/(l\/l**(1\/4))) assuming l is positive.\nAnswer: l**(-325\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 16*w**2 + 30*w - 26. Give r(-13).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*f = -90414, -p + 2*f = -2*p + 30139. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152 = -385863*j + 385927*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31005 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1002032 (base 4) to base 10\nAnswer: -4238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -93, -222, -405, -642?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/5)\/((-1)\/20). What is the least common multiple of (3 + -5)\/((-2)\/u) and 450\/21 + ((-56)\/(-294))\/((-5)\/(-15))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 3.47.\nAnswer: -10.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 499?\nAnswer: 4491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - 3*x)*(-6 + 0 + 2)*(2 - 2 - 2) + 2*x + x - 4*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 31*x + 30. Which is the nearest to 1? (a) -2 (b) -3 (c) x (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2318, -18610, -62846, -149000, -291046, -502958?\n\"Answer: -2329*q**3 + 2*q**2 + 5*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 154, 311, 468, 625, 782?\n\"Answer: 157*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14) - 40\/(-56). Is 4\/9 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56234693*s**5*v**2 + 10*s*v**2 + 3*s*v - 5714*s + 2*v**2 - 2*v + 1 wrt s?\nAnswer: -1124693860*s**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*g**2 + 2)*(3 - 3 + g)*((-1 + 2 + 0)*(-2 + 1 - 1) + 2 + 1 - 5 - 7 - 3 - 2).\nAnswer: -48*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2122 or -2075?\nAnswer: -2075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1240*t + 99. Is q(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 518 + -523. Let c(p) = -19*p**2 - 5*p + 5. Let j(s) = -360*s**2 - 96*s + 96. Give t*j(n) + 96*c(n).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 11*b + 3. Let r be a(11). Factor 2 + r*l + 0 + 0*l**2 + 7*l**2 - 6*l**2.\nAnswer: (l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -240 - -248. Suppose r + l - 2502 = 0, -j*r + 5*r + 7505 = 4*l. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -16. Let v(d) = -2*d**2 - 1. Let s(c) = -3*c + 16. Let t(h) = -s(h) - 3*v(h). Is t(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - h**2 - h - 1. Let j be g(2). Let d(o) = -j - 3*o + 3*o - 3*o. Give d(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.98 - -0.02. Suppose 5*d = 4*d + 170 - 195. What is the third smallest value in w, 0.4, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llm when three letters picked without replacement from {l: 5, m: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d + 2?\nAnswer: 4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -741.3 (b) -6 (c) -1\/2 (d) -2\/9 (e) 2\/3 (f) -2 (g) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(sqrt(132) - sqrt(132)*-2) - sqrt(132))\/(-3*sqrt(1728))*2.\nAnswer: -1 - 5*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 18. Suppose -4*o + f*o = 156. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2172 - 2110. Calculate the remainder when v is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f + 2. Let y be (-3543)\/(-7) - (-10)\/(-210)*3. Let k = y - 504. Calculate c(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1309576 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9*q - 93. Let i be v(11). Suppose -12*n + 4500 = i*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 125?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/6)*s**(-6\/11) assuming s is positive.\nAnswer: s**(-25\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 832063569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*8*22\/(-128)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26927338 by 1.\nAnswer: -26927338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 580467361 divided by 1\nAnswer: 580467361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 1. Let w(f) be the second derivative of -f**3\/3 + 3*f**2\/2 + 2*f. Let t(l) = 6*h(l) + w(l). What is the units digit of t(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6014 + 6013.99978676. What is h rounded to six decimal places?\nAnswer: -0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355 + 349 - (-1 - (15 - 0)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 8745 = 16*k - 4*m, 4*k = 2*m + 7022. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-825) - (-64440)\/2475.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 11, b: 7}. Give prob of picking 1 q and 1 b.\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 + c**2 + 3*c + 3. Let v(n) = 3*n**3 + 3*n + 3. Let f(t) = 5*d(t) - 4*v(t). Is f(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (10 - 1) - 2. Let o be -4 + 4 + -2 - k. Suppose -o*z - 88 = 3*t, -5*t + 87 = -5*z + 7. Does z = -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-4*3\/6). Suppose -3*m - 2*m + 705 = y. Suppose -3*n = 5*a - m, -2*n - n - 4*a + 141 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49 and 111769.\nAnswer: 111769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9167 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5000009 - -0.5. Round l to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 - 3*o. Let t(s) = s**2 - s. Let h(b) = d(b) - 3*t(b). Let g(r) = -2*r. Determine h(g(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -76, 1\/12, 0, 0.07, -0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2337\/6232)\/((-2)\/(-16))*-19?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-1*3\/6*(-51)\/(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 33*u**5\/10 + 29*u**4\/2 + 25*u**3 + 21*u**2 + 17*u\/2 + 13\/10 = 0.\nAnswer: -1, -13\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 2\/5, 3\/2, -0.1, 31\/2, -12501?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 + 3*g**4 + 7 + 2*g**4 - 4*g**4 - 17 in the form u*g**3 + a*g + z*g**4 + b + x*g**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y**2 - 8*y**2 - 9*y**2 - y**3)*(0*y**2 + 2*y**2 - 3*y**2).\nAnswer: y**5 + 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 + 4.91. Let q = 7 - p. Which is the closest to q? (a) 2\/9 (b) 1\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.624 * -0.9.\nAnswer: -1.4616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/((-34)\/(4284\/(-198)))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2168 by 271.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 41 + 27 = 2*n, 0 = n + 2*q - 37. Let l = 63 - n. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 - -10001?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -86*v**2 + 2*v - 7. Let f(c) = -4. What is -2*f(u) + h(u)?\nAnswer: -86*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 16 = -11*l. Let k(r) = 3*r + 11. Let v(b) = -8*b - 32. Let c(w) = -14*k(w) - 5*v(w). Let o(n) = -5*n + 13. What is l*o(s) - 9*c(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1605180 divided by -133765.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*m - 2*c + 32, -4*m - c + 17 = 0. Suppose -111 - 1 = -28*q. Solve m*z + 11 = -q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456400 rounded to the nearest ten thousand?\nAnswer: 1460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104867 is divided by 1721.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and -17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2. Let v = 73\/39 - 7\/13. Let h(a) be the second derivative of 0*a**2 - v*a**3 + 3*a + 0. Determine t(h(k)).\nAnswer: -128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 4*u. Let c(s) = 3*s**2 + 42*s - 196. Let l(t) = c(t) + 2*m(t). Let h be l(-39). Are h and 3\/56 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x + 25. Find the third derivative of 3*j**x + 10*j**2 - 2*j**2 + 2*j**5 wrt j.\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49391.72ng in micrograms?\nAnswer: 49.39172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9294 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 4 (c) -30 (d) -1\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 7649642?\nAnswer: 3824821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 184 - 196. Let l(f) be the second derivative of f**5\/20 + f**4 - 5*f**3\/6 + 4*f**2 + 3*f. What is the tens digit of l(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 8*r - 18. What is the lowest common multiple of (-1 - 8)*((-1194)\/54 - -21) and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/g)**44*g**(-1\/3)*g**(1\/3)*(g**(1\/7)\/g*g**(2\/11))\/(g**(-2)*g**8*g) assuming g is positive.\nAnswer: g**(-3979\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429, -788, -1147, -1506, -1865, -2224?\nAnswer: -2583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, v: 4}. Give prob of picking 2 v and 1 h.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1656387, 1656383, 1656377, 1656369, 1656359, 1656347?\nAnswer: 1656333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5526 and 136001.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obobbboooowkbwokoook. Give prob of sequence kobk.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 578 = p, -5*p - 111 = -o - 299. Let c = o + 197. Solve -c*m = -3*w + 32, -5*w + 2*m = 3*m - 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - (-1 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 4:23 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 991, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j + 33 = 5*h, 3*j - 3*h + 63 = 0. Let w be (2\/(-6))\/(2\/j). Let p be 0*-1*(-2)\/(-4). Solve -o + w = -p*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5363, -4, 2 in decreasing order.\nAnswer: 2, -4, -5363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/207 and 133\/18?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 40714 = 4*t, -5*t = 4*b - 0*t - 54284. Suppose b + 1166 = 4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = h - 2*y - 85 + 43, 40 = -2*y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/983929?\nAnswer: 2\/983929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = -33*c + 258. Is 61 a factor of 7904\/c + (-28)\/84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -3*s**5\/5 + 9*s**4\/4 - 6*s**2 + 23. Suppose a(g) = 0. Calculate g.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {c: 3, m: 3, g: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 37*t**3 + 11*t**2 - 23*t + 51. Is h(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -45. Let k be 1\/(-5)*(t - 1). Sort -1, -5, k in increasing order.\nAnswer: -5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u + 10*u - 8 + 5 in the form v*u + i and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -27. Let a be (13\/b)\/((-4)\/(-8)). Suppose -y + a = -2*s, -4*y = -y + 3*s - 3. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5627916 and 3215952?\nAnswer: 22511664","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q - 6. Let t be f(3). Is 0.1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0420799 times -131?\nAnswer: -5.5124669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 126*u + 95 - 51)*(-2 + 3 - 4)*(-2 + 1 + 0).\nAnswer: 378*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - a - 1. Let v be o(2). Let q(g) = g**2 - 6*g + 8. Let k be q(5). Solve -k*i - 4*r + 5 = 2*i, -v*i = -r - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1537 bigger than -1540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*a + 3*a + 4*a to h*a + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6537 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39.662246 - 75.145.\nAnswer: -114.807246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 982.7264kg in micrograms?\nAnswer: 982726400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -34*i - 270 - 33 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226197, -904244, -2034323, -3616434, -5650577?\nAnswer: -8136752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-5*z**2 + 0*z**2 + 0*z**2) + (-3*z + 6*z - 2*z)*(-z + 3*z + 0*z) + 3 - 3 + z**2 + (-3*z**2 + 1 - 1)*(0 - 3 + 2)*(2 - 2 + 2).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41860?\nAnswer: 2, 5, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11086, 11451, 11816?\n\"Answer: 365*b + 10721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-167 - -166) + (-183)\/(-126) + 4\/(-14).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1588 + 2590. Suppose -5*p + 974 = 4*i, -5*p + q = 40*i - 43*i. Is 198 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 3*y + 4. Let m = 14 + -5. What is the units digit of b(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1153 * 1.2.\nAnswer: -1383.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 3\/(6\/4). Suppose 2*u = 3*u - c. Suppose 20 = u*b - m, 18 = 5*b + m - 2. Solve 6 + 9 = b*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155759 and 1421?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = u + 2, 8*u + 4 = -4*i - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**2 + g**2 - 5*g**2)*(-g + 0*g - g + (2*g - 2*g - g)*(-5 + 2 + 4))*(-g + g - 2*g) in the form b*g + t*g**3 + m*g**2 + p*g**4 + y and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1236, -1283, -1318, -1335, -1328?\n\"Answer: l**3 - 54*l - 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*s - 20, 0*a - 3 = -s + a. Suppose s*i + 6*i = 198. Suppose t - i = -t. What is the greatest common divisor of 117 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*i - 5664 = 0, 5*g - 5*i - 8432 = -1352. Suppose 0*h = 3*h + 2*a - 1416, 3*a = 3*h - g. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2 - 125832204*d + 1979217945437202 = 0.\nAnswer: 31458051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 32 (b) -5 (c) -2 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**15*i*i**0*(i**(-5))**(-2\/33) assuming i is positive.\nAnswer: i**(538\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 2*j + 28 = 0, -15*d + 32*d - 32 = 13*d + 7*d + 5*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11320 divided by 3072\nAnswer: 1415\/384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 37\/13 - (-4)\/26. Find the third derivative of -x**3 + 4*x**2 - 5*x**2 + 6*x**s wrt x.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 5*y**2 - 5*y + 4. Let b be j(-6). Calculate the least common multiple of 10 and (-54)\/(-7) - b\/7.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1694780 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155459.\nAnswer: 83, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*k = -12, 4 = -5*k + 3*k. Let p = -6.79 + 4.79. Sort q, -2\/23, p in increasing order.\nAnswer: p, -2\/23, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 288858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1442 - 1439. Solve -5*w = -2*u + 7*u - 20, 0 = -f*u + 5*w + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - (48 + -25)) + -23.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + i**2 - 3*i - 3. Let c be u(-2). Does 9 divide (c\/2)\/(1\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahxo when four letters picked without replacement from ovvvxovvavzvhvvaxa?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**2\/3 + 85*x\/3 = 0 for x.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 11*t**2 - 2*t + 15. What are the prime factors of h(-11)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 249 and 23523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/6 + 0 + -3)*-62 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v - 2*v + 5*v + (0*v - v - 2*v)*(-1 - 1 + 1) - 21*v - 2*v - 3*v + (-3*v + 4*v - 2*v)*(-5 + 0 + 3).\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + 79bc?\nAnswer: 7998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2720.6 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 10*o**2 - 9*o. Let i be (-1 - 239)*64\/(-48). Let k = 311 - i. What is y(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 0 + 0*x - 31*x**2 - 1\/12*x**4 + 0*x**3 - 1\/60*x**5. Let j(n) = n**2 + n. Determine -6*j(b) - 3*m(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3406093 is divided by 76?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 9\/(-3) + ((-42)\/24 - -5). Which is the closest to -0.2? (a) -38 (b) d (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 421941 and 184977?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62596225*n**4 + 42084469*n wrt n.\nAnswer: -751154700*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-45))\/(4*4\/(-80)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393 = -16*f - 393 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from dopdnpdpxdoxopxpppp?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (6*((sqrt(117) - (5 + (sqrt(117) - (-1 + sqrt(117)) - sqrt(117)))) + -3))**2)*2.\nAnswer: -197610 + 38880*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 6. Let t be r(-9). Suppose u = -t*u + 64. Suppose 0 = -10*i + 14*i - u. Solve -b - i = -4*b - 2*m, 0 = 3*m + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a + 25*a - 80. Suppose a*u + u = 0. Find j such that 0*j**3 + 0 + 0*j**4 + u*j + 0*j**2 - 2\/7*j**5 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.758 - 2.242. What is the second biggest value in 5, n, -20?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -18. Let t = s + -37.7. Round t to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1196 - -1237. Suppose -k + 5*v - 199 = -3*k, 0 = -k - 2*v + 99. Calculate the remainder when k is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44b8 + 84?\nAnswer: 455c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6 - 290927*k + 290928*k + 7.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 1*sqrt(117)*-1 - sqrt(117))\/(sqrt(1296) - ((sqrt(1296) + sqrt(1296)*-1 - sqrt(1296)) + sqrt(1296)))*2.\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (-4 + 2) - -396 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + d = -3*d - 33, 3*d + 31 = 5*f. Suppose -f*o - 30 = -w, w = -4*w + 5*o + 190. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1394 and -4.\nAnswer: -5576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 21*z**2 + 257*z - 209. Calculate w(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 3:26 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + 3. Let z = -5098 - -5100. Suppose b = z*t + 4 - 22, 5*b - g = -5*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 - 75. Sort t, 2, -5, 5.\nAnswer: -5, 2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 7)*(0*g - 2*g + g)*(-5*g**2 + g**2 + 2*g**2) + 4*g**3 - 4*g**3 - g**3 to l*g**2 + m*g**3 + w + y*g and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2156*b**4 - 672*b**3 - 16*b**2.\nAnswer: -4*b**2*(7*b + 2)*(77*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvsss. What is prob of picking 1 s and 1 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 8 + 3 + -21 - 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 - 1892053 + 3783809 - 1891756 - 4*x + 4*x.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38021?\nAnswer: 193, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 3749?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75568 divided by 8.\nAnswer: 9446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 3, h: 3}. Give prob of picking 1 h and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.85 - -16.82. Let g = m - -0.03. Let o = 4.87 - g. What is o rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, -0.06, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -995*h - 34. Let n be l(-4). Suppose n = 19*i - 8024. Is 35 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 2*m**5\/5 + 4*m**3\/3 - 10*m. What is the second derivative of h(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(1*sqrt(360)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + h + 16. Give c(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.39 (c) 2 (d) 3\/4 (e) -11 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85656.5900016 + -85663.29. Let n = 15.3 - 8.6. Let c = n + d. What is c rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 + 4 - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/168 and -131\/396?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/692 and 85\/9568.\nAnswer: 1655264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 0.2918?\nAnswer: 2.7082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + 3*w**3 + 0*w**3)*(0 + 0 - 1)*(4*w + 2 - 2).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.401 and -139788.\nAnswer: -56054.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -100101110?\nAnswer: -100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + sqrt(18)\/sqrt(6)))**2.\nAnswer: -150*sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 1328016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b + b)*(-3*b - 2*b + 4*b + 3*b + b - 3*b + (0*b - 2*b + 0*b)*(4 - 4 + 1))*(-5 - 9 + 3)*(724*b**2 - 1523*b**2 + 693*b**2).\nAnswer: -4664*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from qmnnqnqjjjjnn?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 10, y: 9}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -9*b**2 - 9*b. Let o(n) = 3*n. What is o(a(c))?\nAnswer: -27*c**2 - 27*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2. Let p(n) = 1836*n**2. Give d(p(q)).\nAnswer: 6741792*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (120 + -42 - 46)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - p - 4888, b - 6*b - 5*p - 8130 = 0. Let n = 2370 + b. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 3, -0.5.\nAnswer: -0.5, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -701 - -1219. Let p = 778 - x. What is the units digit of p\/15 + (-1)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 6\/605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/h**(-31))\/h))\/(((h**(-27)\/h)\/h)\/h*h))\/((h*h\/h**(-17\/5))\/h**(1\/41)) assuming h is positive.\nAnswer: h**(-1307\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -15342238.372.\nAnswer: -15342241.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 55*c = 171 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2) + -8 + 40?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + 0. Suppose 5*c - f + 6 = 0. Solve -q = -c - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2\/5 (b) 0.0848604 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.529 + 0.129. Which is the closest to 2\/5? (a) -1\/10 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 26*f - 24. Let u be p(3). What is the remainder when 3 + u\/(-9) + 72 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2 - 7*a + 10. Calculate the remainder when w(3) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849863204 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/20 and 85\/1212.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -31 times 2\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -54. Suppose 2*n - 2635 = -2*d - 3*d, k*n = -d + 514. Suppose 0 = -z - 5*y + 357, -y + d = 4*z - 823. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -20*q**5 + 50705*q**4 + 7732805*q**3 + 69202030*q**2 - 191448600*q + 43416000 = 0.\nAnswer: -135, -12, 1\/4, 2, 2680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(315))\/sqrt(7).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -227 and -228 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1082*r**2 - 3. Let j(f) be the second derivative of -2*f**3\/3 + 11086*f. What is a(j(c))?\nAnswer: -17312*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26901447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1738 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4168 + -4167.81. Which is the closest to -4? (a) q (b) -5 (c) 0 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4895572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:46 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 692*y**2 - 8504*y - 75072.\nAnswer: 4*(y - 17)*(y + 6)*(y + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 42 = -15*q. Calculate the remainder when 150 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + sqrt(320)*-2)*-6.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*o + 3*o. Sort 2, o, 1 in descending order.\nAnswer: o, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130*c**4 - 9*c**3 + 25*c - 1424781 wrt c?\nAnswer: 520*c**3 - 27*c**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 5, l: 15}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + u - 136. Let n = u + 27. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194740?\nAnswer: 2, 5, 7, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 11*d**4\/12 + 5*d**3\/6 - 2*d. Let z(o) = 16*o**2 + 8*o. Let l(p) = -8*j(p) + 5*z(p). Let k(h) = -h. Give l(k(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1207582 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -339.39 - 6.61. Let u = s + 361.1. Let h = u + -15. Which is smaller: 10 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-13)*5\/75*5*23.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 182 = s, 4*x = 6*x - 3*s - 198. Calculate the highest common factor of x and 775.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24327\/2 + 12163. Which is the closest to 2\/11? (a) 1 (b) f (c) 1\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2316*k + 1012*k + 91554 = -44894 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3182*j = -2*f - 3183*j - 8, -f - j = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-4 + 0 - (-5 + 8 + -15))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, 6, 4.\nAnswer: -3, 4, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.2925, 2\/21, -1\/7?\nAnswer: -1.2925","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50919623 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + (-3 - -1))*(-3)\/(-2). Suppose 10*v - 8*v**2 - 4 + 2*v**2 + o*v**3 - v**3 - 2*v**2 = 0. Calculate v.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13533268532005.000033 - 13533249693061. Let n = -18839006 + u. Let m = -62 - n. Round m to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 14*r**3 - 40*r**2 + 3*r**3 + 3*r**3 + 5*r**3.\nAnswer: -r**3 - 40*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4489455644*b - 4489455663*b + 8978911311*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2064311 (base 7) to base 15\nAnswer: 4e68b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - -21. Let d = y + -43. Suppose -3*x - 104991 = d*m, -6*x + 2*m - 175006 = -x. What is x rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*z - 35 = -301*z. Solve 5*a = 5*c - z, -3*a - 4 = -2*c - 2*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 216*y**2 + 51*y - 111. Does 26 divide o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -221687 - -221687.121313. Let o = -0.061392 + j. Let v = -0.06 + o. What is v rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmii when four letters picked without replacement from {r: 5, m: 4, i: 10}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 3*a - 3*a)*(-2*a + a + 2*a + 6*a - a - 4*a + (0 + a + 0)*(3 - 5 + 3) + 6*a - 3*a - 4*a + (-a - 4*a + 6*a)*(3 + 3 - 4) + 1 + 2*a - 1 + a + 8*a - a).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -aa7095 + 2?\nAnswer: -aa7093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j*t*w**3*z - 6*j*t*w**2 + 3*j*t*w*z - j*t*w + 97*j*w**3 + j*w + 2*t*w*z - 12*w*z wrt w?\nAnswer: -12*j*t*w*z - 12*j*t + 582*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/21 and -7\/61052.\nAnswer: 1282092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60091 by -61.\nAnswer: 60091\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7)\/(6804\/162 + 316\/(-8))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-15)\/76)*14425\/2308)\/((-20)\/24).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13224 and 1368.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 15*s = 9*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-12 + (-99594)\/54)\/((-2)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Suppose -m - 3*m = 2*b - 88, -5*m + 2*b + 110 = i. Let q = 8 - 6. Solve 4*x - m = -2*p, 2*p - q*x + 2 = 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 7*l**5\/15 + 29*l**4\/12 + 25*l**3\/9 + l**2\/2 + 266. Factor i(d).\nAnswer: d*(d + 1)*(d + 3)*(7*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 48?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122534640?\nAnswer: 2, 3, 5, 17, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -403\/7, -3 in descending order.\nAnswer: 3, -3, -403\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 4, 404, -57 in decreasing order.\nAnswer: 404, 4, 2, -7, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r - 4. Give s(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 7*s - 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -11. Let d(n) = -48*n + 5. Let t be d(s). Let y = -651 + t. Round y to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76070 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((34\/68)\/1)\/(3\/90)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q + 0*q - 2*q. Let o(t) = 2*t. Suppose -6*z = 6*z + 60. Let w(a) = z*i(a) + 8*o(a). Let k(m) = -6*m**2. Give k(w(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*a - 25022, -22*u + 23*u + 25019 = 4*a. Is 58 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 104620223?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/sqrt(6))\/sqrt(5) - sqrt(704)*-2) + -3.\nAnswer: -3 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -2. Suppose t*w = -2*w + 5. Let j be 2*5\/2*w. Sort j, 1, -2.\nAnswer: -2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - j**2 + j + 166. Let x be r(0). Let y be 192\/40 + 2\/10. Suppose -29 = -y*q + x. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 1100?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1803 + -1816. Which is bigger: x or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -3*k**6\/2 + 7*k**2 - 4. Find the second derivative of r(c) wrt c.\nAnswer: -180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Suppose -y = -2*t + 35, 0*y - 10 = x*y. Suppose -3*v + t = -0*v. Solve 5*b - 30 = -v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -4. Let p = -91 + 131. Let g = p + -42. Which is the smallest value? (a) 1 (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.443843579 - 426152801.443843579. Let f = -426152346.000183 - u. Let m = f + -455. Round m to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j + 7*j + 0*j - 3 + 3 + j + (0 + 3 - 4)*(-2*j + 2*j - j) + j + 5*j - 5*j + 3*j - 2*j + 0*j to x*j + h and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.700135 - -1.7. What is n rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgje when four letters picked without replacement from ggzgljjgjjljgegz.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*((w*w**(-2\/3))\/w)\/w)\/w*w**(-7)*w*w)\/(w**(-2\/3)\/w**(-7)))\/((w\/(w*(w\/((w\/((w**0*w)\/w))\/w))\/w*w))**(-5\/9)*w**7\/w**(2\/13)) assuming w is positive.\nAnswer: w**(-2387\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttqtwwqwtutuutu. What is prob of picking 2 w and 2 q?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 + 27. Let v = i + 31. Is 13 + (-4)\/(12\/v) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2210)\/360 - 2\/(-9) and 7\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j + 111 + 87 - 69*j**2 - 27 + 73*j**2. List the prime factors of h(-8).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21523.66 litres in millilitres?\nAnswer: 21523660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -2*m**2 - 2. Let b be 7\/3 - 4\/(-6). Let z(q) = 0*q**2 + b*q**2 - 2*q**2. Calculate g(z(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 1, 1\/13, 3, -39 in ascending order.\nAnswer: -39, 1\/13, 2\/13, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (156\/390)\/((-22)\/10) + (-6)\/88. Which is the biggest value? (a) -2.4 (b) q (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169*a**3*f**3*w**2 - 10*a**3*f - 2*a**2*f**2*w - 5*a**2*w + a*f**2 + 15*f**3*w**2 + f**2*w**2 wrt f.\nAnswer: -1014*a**3*w**2 + 90*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j + 6, -2*w - 5*j - 12 = 0. What is the remainder when -6 - -5 - 6\/w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - x + 12, 3*i - 2*x = 4*i - 4. Suppose -i*w = -8 - 0. Let o(f) = 6 + f**w - 1 - 7*f + 12*f. Calculate o(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2367055 - -14?\nAnswer: 2367070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/45144 and -109\/214016.\nAnswer: 5778432","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.061406, -0.3, -3, -1 in descending order.\nAnswer: 0.061406, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -46. Let f(z) = 3*z + 34. Let d be f(p). Suppose d*q - 27*q = -580. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 = 5*k + 14*t, 0 = -k + 575*t - 573*t - 39 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -692135\nAnswer: -1\/138427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -2\/5 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57698702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.44059 centimeters to meters.\nAnswer: 0.0344059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 413 + 0?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1ac6cc6 - 4?\nAnswer: -1ac6cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**3 + 12715*x**2 + 9*x - 6375*x**2 - 6340*x**2.\nAnswer: -9*x**3 + 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let d(g) = 7*g - 51. Let u(q) = -d(q) - 5*y(q). What is the remainder when u(-18) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4454563608?\nAnswer: 2, 3, 11, 67, 127, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6498 - 44*j - 52*j**2 + 6498 wrt j?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 432.9999932 - 433. Round g to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -239789, -479622, -719455?\n\"Answer: -239833*q + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 412726922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feyjefdfyyjfdjde. Give prob of picking 1 y and 3 e.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -399, -397, -395?\n\"Answer: 2*o - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001111111110100 (base 2) to base 14.\nAnswer: 1cc16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -53 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*z - 8, -2*p = 3*p + 2*z - 17. Suppose -3*t + 12*g = 18, 0 = -7*t + 4*t - 4*g + 78. What is the lowest common multiple of p and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, 14, 20, 26, 32?\n\"Answer: 6*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/27 - 32\/18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/2)*z))**(-35)*z**(2\/5)*z*z\/z**(1\/3) assuming z is positive.\nAnswer: z**(-463\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*n + 548 + 4095 = -104*n - 1177 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**5 + 11*b**4 - 1383*b**3 + 17929*b**2 - 44302*b + 27744 = 0.\nAnswer: -48, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19185, -76646, -172407, -306462, -478805, -689430, -938331?\n\"Answer: h**3 - 19156*h**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/44110 and -23\/23193038.\nAnswer: 115965190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 272 + -112. What is the highest common divisor of d and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-5))\/(177\/(-59)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 393 - 411. Let v(c) = -797*c - 65. Is v(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2690 is divided by 160.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 200*k + 5. Let c(q) = -82*q - 2. Let o(b) = 5*c(b) + 2*l(b). Let a(n) = -16*n + 5. Determine o(a(u)).\nAnswer: 160*u - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52087.42l to millilitres.\nAnswer: 52087420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27053 is divided by 9015?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(8\/(-2)))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2059586 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 379251928*t**3 - 288674478*t**2.\nAnswer: 2275511568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42737539 divided by 2353.\nAnswer: 18163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1175 + -0.3825. Suppose 4*c - 7*g - 12 = -2*g, 0 = -c - g - 6. Put c, q, -7\/5 in descending order.\nAnswer: q, -7\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = -i + 33. Suppose 0 = -5*n - 2*o + 397, -5*n + 2*o - 150 = -543. Suppose 4*z - 77 = i*y, y - n = -5*z - y. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-3))\/((-2004)\/(-84)*189\/18). Which is smaller: 0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 15352, 0.8, 2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -314 + 161. Let l = c + 312. Let b = l + 39. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than or equal to 17257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 3\/2, 31?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -14 (c) 37 (d) -3\/463\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uukuuumukuummuum. What is prob of picking 4 m?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 1422 = -12*l. What is the remainder when l is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 9 = -2*p. Let z(d) = 5 - 4*d**2 + 0*d**2 + 3*d**2 + 0 + 8*d. Let x be z(8). Sort p, x, 2.\nAnswer: p, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 73*d**2 + 6*d - 4. Let b be n(5). Calculate the common denominator of (-4)\/(-14) + b\/210 and (-4)\/((-112)\/194) - 2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113675872 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let n = 0.013 - -6.187. Let x = n - 1.2. Sort x, o, -4.\nAnswer: -4, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 8*g**2 + 2*g - 14. Let c be s(8). Suppose -6820 = -t - 3*a, -5*t - c*a = -a - 34030. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1709762?\nAnswer: 683904.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108314461.\nAnswer: 47, 2304563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5) - 8757\/2620. Let u = 1\/131 - x. Calculate the common denominator of u and 9\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 23 - 2. Suppose 43 = 4*o + 211. Let q = 42 + o. Sort a, q, -2.\nAnswer: a, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -135, -144, -157, -174?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 132*z - 38141. Calculate l(-175).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q - 4*c + 25, 4*c = 20. Let z(n) = 2 + 0 + 0*n - 8*n. Is 18 a factor of z(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1327 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.262 - -0.262. Let p = 41 + o. Which is the closest to 0? (a) p (b) 4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153792455363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*t + 19, 0*t + 4*w - 22 = -2*t. Let k(j) = j - 2. Let y be k(7). Find the third derivative of 7*u**5 - 16*u**2 + y*u**3 - t*u**3 wrt u.\nAnswer: 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6944*m**2 - 1288*m.\nAnswer: -13888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-5 - -11) - 819\/75?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -28*k**2 - 2*k + 2. Let a be p(-2). Let j = a + 98. Let z be (-8)\/(-2) - j\/(0 - 4). Solve -6*w + 3*m = -z*w + 19, -5*m + 27 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2300)\/276)\/(-6*(-5)\/90).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(13\/(624\/4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110010001 (base 2) to base 16.\nAnswer: -991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*m = 194, 96 = -2*q + m - 33. Is 9 a factor of (q\/(-6))\/(32\/1536)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218 - -241. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/6*(-1605)\/10 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4492 is divided by 666?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5279, -10561, -15843, -21125, -26407?\n\"Answer: -5282*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 52*m**2 - 2*m + 107. Let j be k(52). Solve j*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - (-2)\/(-2))*47\/47. Let l(h) = h**3 - 3*h**2 + h - 3. Let b be l(3). What is the units digit of (b - -7)\/(s\/30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3)*(-10 - -4). Suppose -k - j*k + 123 = 0. Calculate the remainder when k is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -242755 + -19?\nAnswer: -242774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + b - 3 + 4 = 0, 3*o = 5*b + 5. Let -1 + h**3 - 3 - 3*h + 2 + o*h**3 = 0. Calculate h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3418*x + 21 = 3419*x. Sort 0.01, x, 5 in decreasing order.\nAnswer: x, 5, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005137 to 4 decimal places.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110279567*o**3 - 10932323*o - 6 wrt o?\nAnswer: 661677402*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*i + 17, 44 = 4*a + 3*i + 18. Suppose 10 = t - 2*c, -6*c + 28 = 4*t - 11*c. Solve -2*m - 4 = t*m + 5*j, -j = -a*m + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b = -43. Let g be (3\/4)\/(10\/(-7480)*-11). Let z = b + g. Solve -3*t + z = -1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y = -17*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**3 + 55040*h**2 - 991940*h + 4410400 = 0 for h.\nAnswer: -11026, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -7*d + 6*d - 3, 0 = -3*s + 4*d + 7. Sort -2, -3, s.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 15468*p - 17 + 0 + 5.\nAnswer: -15468*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-6)*804\/469. Let t(m) = m**3 - 2*m**2 - m - 4. Let r be t(3). Solve 5*v = 4*p - 2, -r*v + v = o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 - 2*a**3 - 226 + 448.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5436, -26, -4 in descending order.\nAnswer: 5436, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(1632\/(-8))*(-1)\/1*-1?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 6*c**2 + 7*c + 6. Let r(w) = w**3 + 2*w**2 - 2. Determine -g(i) - 2*r(i).\nAnswer: -i**3 + 2*i**2 - 7*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*((-119)\/85 + 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 6*r**2 + 7*r + 3. Let a be d(-7). Let b be ((-6)\/(-2) - a)\/(-2). Let w = -527\/9 + 59. Which is greater: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -21. Calculate the greatest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l - 4 = -41*l. Let w be 9*(-3 - -4) + l. What is the second derivative of 0*h**4 - 403*h + w*h**4 + 424*h wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13903517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 28*y - 5. Let k(v) = -8*v + 9. Let z(l) = -9*l + 8. Let a(o) = -5*k(o) + 6*z(o). Let c(g) = 5*a(g) + 3*x(g). Let d(u) = -2*u**2. Calculate c(d(w)).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.1 + 10.23. Let r = h + -0.63. Which is the closest to -1? (a) 1\/8 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5473 - 5*n**3 + 2771 + 2702.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2410, -2388, -2354, -2308, -2250, -2180, -2098?\n\"Answer: 6*z**2 + 4*z - 2420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-34 + -3)*(0 + -1). Let c = -84 - -49. Let d = c + b. Solve 3*z + 16 = -a - a, 0 = a + d*z + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 1903.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20560*-44.\nAnswer: 904640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3728 is divided by 1061?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9597, -9598, -9599, -9600?\nAnswer: -9601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 1\/6*d**4 + 0 + 0*d**2 + 5\/6*d**3 + d. Find the second derivative of q(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = -12, -381 = -3*g + 5*t. Let v = 3\/3263 + -159947\/65260. What is the common denominator of v and (-2847)\/26*(-1)\/g?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*b + 3*b + 0*b)*(-3 + 5 - 1) + 2 - 2*b - 2 + 0*b - 2*b + 0*b - 963 + 963 - 30*b)*(16*b**4 + 16*b**4 - 20*b**4).\nAnswer: -420*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-8))\/(3\/(-2)). Let f = 53887\/13 - 4145. Which is the closest to r? (a) 0.5 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 360, 353, 342, 327, 308, 285?\n\"Answer: -2*t**2 - t + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154\/2 - (18\/(-8))\/(4796\/(-176) - -27)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580*u - 582*u + 56 = 0. What is the remainder when 93 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -613*d**2 + 224973*d - 738. What is a(367)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y + 10*y - 4*y.\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 19*u**2. Let v(n) = 69860*n. Give v(d(h)).\nAnswer: 1327340*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.9 - 4. Let f(w) = w + 4. Let r be f(-2). What is the smallest value in -0.5, i, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133\/198 + 1\/198. Let n = 634\/297 - 56\/27. Let m = n - -85\/231. What is the second biggest value in -0.1, p, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1441051013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 + -35. Let n = -118 - u. Solve -3*m + x - n = 0, 5*m = -8*x + 4*x - 29 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.85 - -17. Sort -2\/3, 2\/5, r in decreasing order.\nAnswer: 2\/5, r, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4050 (base 7) to base 10.\nAnswer: -1407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67661 + 177589 = 50*v. What are the prime factors of v?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 56 (c) -1 (d) 2 (e) 1 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(21) - sqrt(21))*1)\/sqrt(7) - (sqrt(3) + (-2*sqrt(24))\/sqrt(8) + -4) - (sqrt(150)*5)\/(sqrt(18)\/(sqrt(9) + sqrt(36))).\nAnswer: -74*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 3*f + 3*f)*(491*f - 209*f + 112*f) - f**4 + 1 - 1.\nAnswer: 393*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 74 = 14. Do 49 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5*i = -85 + 60, 4*i + 1 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/6 and -145\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from tffttftfttfftf.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**4\/4 + w**2\/2 + 2*w. Differentiate k(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 29. Let d(k) = k**2 + 14*k + 7. Let i be d(f). What is the greatest common divisor of i and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1667098*x**2 + 2773831*x.\nAnswer: -3334196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5*n + 4)*(-3*n + 13*n + 9*n + (3 - 3 + 2*n)*(-7 - 2 + 1)).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - p + 9 - 103 = 0, -3*u + 284 = -2*p. Calculate the greatest common factor of 64 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -3*s**4\/8 - 44*s**3\/3 - 7*s**2 + 3*s. Let k be c(-10). Solve k*m + i = -9, 0*m + 26 = -5*m + i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2704 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfwz when four letters picked without replacement from {z: 1, f: 2, w: 3, s: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -894*t**3 + 544*t + 975*t - 6370*t**3 + 2903*t**2 - 1519*t wrt t.\nAnswer: -43584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*n + 216*n + 2520 = 0. What is the remainder when 303 is divided by ((-3)\/(-2))\/(n\/3080)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = v + 3, 0*v = -4*v - f + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9728 and 234992.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -6, -69*w + 68*w + 4*c = -515. What are the prime factors of w?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12847 minus 1186?\nAnswer: 11661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -2\/7*k**3 + 0*k**2 - 6 + 1\/28*k**4 - 3*k. Factor f(m).\nAnswer: 3*m*(m - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = -2*m + m, -2*t = 4*m + 8. Solve -t = 4*d - 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, k: 2, g: 1, b: 3, o: 3}. What is prob of sequence oog?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6804, -6008, -4712, -2916?\n\"Answer: 250*u**2 + 46*u - 7100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.5 + 4.472. Let r = h + 0.128. Suppose 0 = -4*n - 2*f - 16, 5*n - 5*f = -18 - 2. Which is the third biggest value? (a) n (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*b + 3825 = 0, -q + 363 + 431 = 5*b. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 16 = -3*s. What is the derivative of s + 3*l - 3*l + 0*l - 5*l**4 wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18697*t - 18704*t = 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-3 - 7) + (9 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-142 + 142 + 3*c**5) + (-c**3 - 5*c**2 + 5*c**2)*(-3*c - 8*c**2 + 3*c) + (-c**2 - 2*c + 2*c)*(-3 - 2*c**3 + 3).\nAnswer: 16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*v*w**3 + 203*b**2*v*w - 2*b**2*v - b**2 + 2*b*v + 7*b - 3*v*w**3 - 2*v*w**2 - 20*w**2 wrt b?\nAnswer: 2*v*w**3 + 406*v*w - 4*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 102*s - 113*s. Let x be s - 3\/4*8. Let z(u) = -2*u**2 + 3*u - 3. Calculate z(x).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6803?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t**4 - 2*t**4 + 2*t**4)*(-2 + 1 + 3 + (3 - 3 + 1)*(1 - 1 + 3) + 7 - 9 - 18) to w*t**4 + o*t + f*t**2 + i + u*t**3 and give w.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/20 - (-10)\/(-25). Let j = -2 + 1. Let q = 14\/17 - 81\/119. Which is the nearest to j? (a) 4 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - d + 1. What is p(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1415.4 - -1415.3. Put -32, -3\/7, -12, b in ascending order.\nAnswer: -32, -12, -3\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5598 + 29749. What is the ten thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.52 + 0.56. Which is bigger: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 2*s**4 + 7*s**4 - 4 + 2*s**3 - 7*s**4 + 3*s to the form q*s**2 + w*s**4 + y + u*s + z*s**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*h + 20*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4418229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4.8 - -604\nAnswer: 599.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1280)\/(-1980) + (-9)\/(243\/15) + (-47)\/33.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113808 = -16*o - 3682*o - 1044*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 79 = -6*t + q, 0 = -4*q - 16. Suppose 5*r = 13 + 7. Let j be (-2)\/(17\/(-5) + 3). Solve 0*h - 4*h - t = 3*a, -r*h = a + j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k - 2*k + 2*k)*(-37 + 8*k + 37).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3*w + w + 2, 4*i + 5*w = -9. Suppose 3 = i*l - 13. Calculate the lowest common multiple of l and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*w + 6*w + 76*w to the form y + q*w and give q.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y + 1. Suppose 0 = 3*x + v - 403, -4*v - 564 = -4*x - 0*v. Let n = 201 - x. Suppose 5*r - n = -0*r. Let s(d) = 15*d + 2. Calculate r*m(k) - 6*s(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*d - x, 8*d - 3 = 7*d + x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -94 + -5?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150666 + -106915. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r - 724 = -569. Put r, 0, -1 in increasing order.\nAnswer: r, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1116\/615611 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.84114 rounded to 1 dp?\nAnswer: 59.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*f + k - 22, -4*k + 38 = 3*f. What is the smallest value in -3, f, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 8:57 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.9837581 to 2 decimal places.\nAnswer: 13.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(-2*sqrt(133) - sqrt(133))*2)\/((sqrt(7) + sqrt(35)\/sqrt(5)*4 + (sqrt(700) - -1*sqrt(700) - sqrt(7)))*2).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -348*d**2*k*y**2 - 19*d**2*k - d*k*y**2 - 2*k*y**2 + 965*k*y + 2 wrt d.\nAnswer: -696*k*y**2 - 38*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -29, -4 in increasing order.\nAnswer: -29, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 82, 132, 180?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 5)*(4 - 4 + 2*q).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**3 + s**2 + 3*s - s**3 - 5*s. Let c = -1 - -4. Suppose -3*q - 6 = -5*d, -c*q - 6 = 5*d - 4*d. Determine v(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -17) + 16 + -24 - (-15 - -72).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (213 - 106 - 74*x - 109)*(-x**2 + x**2 + 6*x**3).\nAnswer: -444*x**4 - 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 b, and 1 f when three letters picked without replacement from {d: 2, f: 1, m: 1, g: 1, b: 1, o: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - -32. Let h = 30 - a. Let j = 16 + h. What is the nearest to 3 in j, -0.5, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1341 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xglgggx. What is prob of picking 2 x and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57757 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107937031 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 26*a**2 + 162*a + 71. Let x be j(-10). Solve -x*z = -38*z + 65 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 4*q + q)*(-3 + 1 - 3)*(1 - 2 + 3)*(2 - 4 + 3) as b*q + a and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-8) - -10*4\/32. Calculate the common denominator of 17\/20 and 692\/56 + r\/(-2) + -3.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -354.833 - -355. Let k = n - -4.833. Which is the fourth biggest value? (a) 0 (b) 0.3 (c) 1\/5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*110\/44?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p + 1 + p**2 + p - 3. Let c(j) = 0 + 8*j - 5*j**2 + j + 9. Suppose 2*z - 2 = 2. Calculate z*c(q) + 9*v(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -28 - (6 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 4, -3, -25.\nAnswer: -25, -13, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*m - 2*m + 219 - 270)*(11*m**3 + 11*m**3 - 12*m**3) - 4*m**4 + 2*m**4 + 3*m**4 to k*m + g*m**3 + u*m**2 + c + q*m**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10311 + -5\nAnswer: -10316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 108284799 to the power of 1\/3, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*o - 304 + 304)*(2*o**3 - 21 + 49 - 21*o**2 - 30).\nAnswer: 42*o**4 - 441*o**3 - 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-75)\/21 + 15\/(-35))\/(-2). Solve 2\/9*x - 2\/9*x**3 + 0 + 2\/9*x**w - 2\/9*x**4 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74690 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-25)*n\/(n**20*n*n) assuming n is positive.\nAnswer: n**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 718241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (790\/(-1817)*23)\/(4\/6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 9*y**2 + 5*y - 11. Let x(r) = -r**3 + 8*r**2 - 6*r + 12. Let z(f) = -2*g(f) - 3*x(f). Let l be z(5). Is 1\/56 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 17 - 3. Suppose -2*r - r = 3*c - 3, 5*r - 2*c + 9 = 0. Let q be -10*-6*r\/(-4). What is the highest common divisor of y and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*i - 3190 = -3*i - 808 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*-6*-6*(1 + sqrt(1573))*6)**2*1.\nAnswer: 16422912*sqrt(13) + 1174984704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-16 + 6 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 216*r**3 - 241092*r**2 - 35780325*r\/2 - 643205625\/2 = 0.\nAnswer: -425\/12, 1187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 0*j + 94*j**2 - 1345*j**2 - 5*j - 4. Let q be k(-4). Round q to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551922003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**4 + 83517*h**3 + 1570974*h**2.\nAnswer: -72*h + 501102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*h - h. Let b = h - -6. Let o(t) = t**3 + 1. Let j be o(b). Solve 0 = -j*v - 2*v + 4*i - 4, i = 2*v - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 10) to base 15\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -2\/203, 1\/2, -28, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2595 - 2555. Suppose 5*l = -4*n - 4, 3*n = -5*l + 3 - 6. Suppose l = -5*u + 2*w - 5, 5*u + w = 6*w - 20. Which is smaller: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 282959, 565930, 848901, 1131872, 1414843?\n\"Answer: 282971*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Let x(m) = 30*m - m - 23*m. Calculate l(x(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1528594, -3057206, -4585818, -6114430, -7643042, -9171654?\n\"Answer: -1528612*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 3. Suppose 0 = -6*t + 1156 + 1940. Let u be (11 - t\/48)\/((-7)\/12). What is the biggest value in 1\/2, -5, b, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1236982800 rounded to the nearest one million?\nAnswer: -1237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -7)*6\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4598887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 28 + 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 23*w + 4. Let r(j) = -133*j - 29. Let n(i) = -66*i - 15. Let h(k) = -5*n(k) + 3*r(k). Let o(q) = 4*h(q) + 11*z(q). Is o(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 203 = 102*u. Solve 0*z = -2*z - u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 85\/3. What is the closest to g in 11, -1\/3, 2, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - t = -0*t + 8, 110 = 5*c + t + 247 - 121 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uudduod. Give prob of sequence dd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2.4 (b) 0.4 (c) 10 (d) -48 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73193399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39, 4, -29, -60, -89, -116?\n\"Answer: r**2 - 38*r + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from wowowwwwwwrwvvoowwwv.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 5. Let p(s) = -s. Let t(a) = 16*a + 6. Let r(x) = 12*p(x) + t(x). Suppose -4 = 6*w - 34. Determine w*r(m) - 6*g(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 - -71. Solve -2*x = -t*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + g**2 + 4*g**2)*(g**3 + 2*g**3 - 4*g**3) + (15*g - 15*g**4 - 15*g)*(-3*g - 3*g + 3*g).\nAnswer: 43*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3096762?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2663531 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138708.\nAnswer: 2, 3, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**4 - 116795*j**3 + 3150520*j**2 - 16332400*j = 0. What is j?\nAnswer: 0, 7, 20, 23332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 480009158.7299 and -0.05.\nAnswer: 480009158.6799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*o**4 + 0*o - 2\/11*o**2 + 0 - 1\/11*o**5 + 3\/11*o**3 = 0. What is o?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:24 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 626 + -602. Suppose -h + 36 = 3*o. Solve 2*q + 5 = -p, 4*q + 8 = -0*q - o*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r. Let v be n(1). Let s(k) = -k**2 + v*k**2 - k**2 + k**2. Let o(u) be the first derivative of -u**3\/3 - 1. Determine s(o(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(2014\/(-57))\/(2\/(-6)). Let j = z - -321. What is b in b**2 - 1\/7*b**j + 9\/7 - 15\/7*b = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1121221211?\nAnswer: -1121221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 88.2994?\nAnswer: -44.1497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + p - 3. Suppose p*y + 0*y = 0. Is y greater than or equal to -1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1190*v**2 - 3151*v**2 + 201*v**2 + 829*v**2.\nAnswer: -3311*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*i**3*r**3 - 124*i**3*r**2 - 2*i*r - 6*i + 311*r**3 - 2 wrt i?\nAnswer: -264*i*r**3 - 744*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -128*b + 2032. What is n(16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2526279 + -1132859. Let c be ((-87886)\/(-4))\/(29\/(-3480)). Let x = n - c. Round x to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h**(-4))\/(h**(-2))**(3\/5) assuming h is positive.\nAnswer: h**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 154\/11 - (2 + 0). Let u be 1*((-1 - 0) + 3). Suppose 0 = u*i - 6*i + p. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {b: 4, a: 6, j: 2, s: 2, g: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6697.2 - -0.0606.\nAnswer: -6697.1394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + u**2 + 2. Let b be q(0). Suppose 0*c = c + b. Suppose 8*g - 7*g = -1. Sort g, c, 5 in ascending order.\nAnswer: c, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 1 = k, g + g + 5*k = 5. Put -5, g, -2 in increasing order.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 27 (b) -1380 (c) 0.06 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*r**2 - 1087*r - 110*r**2 + 0*r**3 + 5*r**3 - 3 + 3.\nAnswer: 5*r**3 - r**2 - 1087*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:40 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**7\/840 - l**3\/3 + 2*l**2. Let v(m) be the first derivative of k(m). Suppose v(a) = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 2*m + 2*m - 8*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 29*y + 56. Let r be x(-31). Let t be (-106)\/(-34) - (-3 + r)\/(-3). What is the third smallest value in -46, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 4. Suppose -3*l + 25 + 23 = 4*i, 0 = l + 3*i - 21. Suppose -4*f = -35 - 25. What is the remainder when f is divided by r(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -l + 4*h, h - 9 = -5*l - 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 51 (b) -3 (c) -928\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 - 127*m + 21 + 26 as f + d*m and give d.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w = -8. Suppose 2*l - 174 = -w*z, 0 = l - 3*l + 2*z + 154. Suppose -y + 63 = -l. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-15\/2)\/(c\/(c**(-6)*c)*c))**47 assuming c is positive.\nAnswer: c**(-1363\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158 + -157. Which is the smallest value? (a) -2 (b) p (c) 2\/19 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 14*k**2 + 13)*(17 + 5*k - 22 - 4*k).\nAnswer: -14*k**3 + 70*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c - 60 = 0. Suppose 47 = 4*i - 37. Let w = i - c. Solve 3*n - w = 6*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -15*m - 32 + 1\/7*m**3 - 4\/7*m**2 + 1\/42*m**4. Let j(g) be the first derivative of s(g). Find d, given that j(d) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2*b - 2*b)*(-2 + b + 2)*(-7*b**3 - 47 + 47).\nAnswer: -14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3021.054ml?\nAnswer: 3.021054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 20 = -0. What is the second derivative of -3*y + a*y + 4*y**3 - 6*y**3 wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t = 0. Let y = -128.92 - -129.12. Sort 0.02, y, t.\nAnswer: t, 0.02, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 2\/3, 5970.\nAnswer: -4\/7, 2\/3, 5970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1051, -2179, -3305, -4429, -5551?\n\"Answer: h**2 - 1131*h + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*o - 20*o - 10*o**2)*(-4*o**2 + o**2 + 5*o**2) + 2*o**4 - 3*o**4 + 0*o**4.\nAnswer: -21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 - 63. Let v be 2\/8 + (-57)\/(-12). Solve v*u + g = 4*j, -5*u = 3*j - 4*u - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 99 divided by -9\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.445 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 73*d + 1. Let k(y) = 20471*y**2. What is t(k(g))?\nAnswer: 1494383*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + 32*x + 2. Let c be (4\/(-10))\/((-100)\/(-125))*36. What are the prime factors of j(c)?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**8\/140 + m**6\/360 - m**3\/3 + 3*m. Let j(u) be the second derivative of r(u). What is the third derivative of j(w) wrt w?\nAnswer: 288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128.809 + -917118040\nAnswer: -917117911.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 23. Let k be (-2)\/(((-8)\/10)\/2). Let j = -25 - -30. Solve -d = -k*x + a, -j*d + x - 20 = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 100, 95, 90?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368106?\nAnswer: 2, 3, 19, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {m: 2, d: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/12 (b) 6\/7 (c) 4 (d) -0.362 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*u - 21, 0 = -21*u + 25*u - j - 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -y. Suppose y*f - 15 = 2*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2282591899.8348617294 - -0.1651382706. Let n = -2282591679.00000129 + d. Let w = n - 221. Round w to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9721, -21316, -32911?\nAnswer: -44506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 711231 or 711232?\nAnswer: 711231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 12 - 4*l**2 + 2 - 288*l + 293*l - l**2. Calculate y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ootk when four letters picked without replacement from kotwtwwootw.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.57 - -22.43. Let q = x - 23.2. Sort -1, q, 2\/3 in descending order.\nAnswer: 2\/3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)\/p)**(-44)*((p*p\/(p**(2\/9)*p))\/p)\/p*p**(-8))**45 assuming p is positive.\nAnswer: p**3545","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 2733602*b.\nAnswer: -2*b*(b - 1366801)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*v + 12 = 0, 3*a - 9 = 6*v - 2*v. Suppose a*c - 6*c - 255 = 0. Let b = c + 242. Round b to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 5*k**2 - 11*k + 23. Let t be w(7). What is the highest common divisor of 12 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4 + 21259886*w**3 - 112995858262209*w**2 + 1807929650299280*w - 7231713158670400 = 0 for w.\nAnswer: 8, 10629935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.6 take away 5?\nAnswer: -37.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 divided by 32?\nAnswer: 29\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-564)\/111 + 142 + 7124\/(-52)?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*f**3 + 9*f**2 + 1093*f**3 - 3*f**2 + 989*f**3.\nAnswer: 1593*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s - 5. Let a(k) = 14*k + 8. What is g(a(c))?\nAnswer: 70*c + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3)\/x)\/(x\/(x*x**5)))\/(x*x\/(x*(x\/(x*x**10))\/x)*(x*x**(-2\/53))\/x*x*x) assuming x is positive.\nAnswer: x**(-1531\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*z - 9 = 0, 3*z - 9 = 3*t - 0*t. Let l be -2 - (t - (6 - 3)). What are the prime factors of 16\/(l - (3 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -189, -99, -2\/9, 24, -4, -0.02, 0.8?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29016 and 1961640.\nAnswer: 790540920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x + 2*l + 2, -5*l = 25. Suppose 16 - x = 3*q. Solve q*r = -2 - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 395, 884, 1559, 2414, 3443?\nAnswer: 4640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7944 = 3*t + 5*s - 3234, 3*s + 18698 = 5*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9561.5861 rounded to the nearest ten?\nAnswer: -9560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -14, 0.25, 0.1?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 + 3. Give m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-8) + (-193)\/(-2)*1. Let u = c - -105. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*j + 134*j - 630 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.273 - 11.273. Let c = 1.01 - -6.29. Let o = c + -6.3. Put 4\/9, o, t in decreasing order.\nAnswer: o, 4\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 56888, 56754, 56620, 56486, 56352?\n\"Answer: -134*l + 57022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -911*x - 842*x - 841*x + 2590*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 227, -1\/2, 0.4, 0.3, 22 in descending order.\nAnswer: 227, 22, 0.4, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-264)\/32)\/(-7*(-12)\/224)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3567 = u, 38*s + 14287 = 4*u + 35*s. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 4.39.\nAnswer: 4.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160834844585 + -393723693449453\/2448. Let g = -77732\/153 - o. Let r = 3002 + g. Calculate the common denominator of -97\/2 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m - 99*m + 50*m - m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 786\nAnswer: 1\/786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-27) + (-75)\/(-9). Let v be u\/36 - (-6)\/8. Solve -v - 2 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48467917 and 1007?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 36. Suppose b*p - 7*p + 54 = 0. Let j be (-436)\/(-6) - (-2)\/(-3). What is the highest common divisor of p and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**4\/4 - 2*h**3 - 7*h**2\/2 + 47*h - 203. What are the prime factors of n(-6)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16350 - 14500. Calculate the greatest common divisor of m and 550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 1\/48*d**4 + 1\/480*d**6 + 1\/80*d**5 + 0 + 0*d**3 + 12*d**2 + 0*d. Factor p(o).\nAnswer: o*(o + 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 12*g**2 - 6*g - 61. Calculate f(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -252*n**4 - 3*n**3 - 42*n**2 - 244745*n.\nAnswer: -3024*n**2 - 18*n - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/4454 and -125\/6?\nAnswer: 13362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 160, 6, -214, -500?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 760.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7 = -23. Suppose 0 = 5*q + s + o - 34, 3*s + 18 = 2*q. Solve 0 = 5*l, 0*j + 2*j + 4*l = q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8007109 tonnes?\nAnswer: 800710.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1)*s)\/s*s)**(14\/9))**43 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334634547 = 346*v - 876713093. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 3, -0.164 in increasing order.\nAnswer: -1\/2, -0.164, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1777 (b) -5 (c) 7 (d) 1.714\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*g + 8 = 56, -3*g - 15 = 0. Let s = j + -21. Is s > 2\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312431.\nAnswer: 3, 181, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -7 (b) 2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22297 * 0.04458.\nAnswer: 994.00026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 2. Let y = 68 + -80. Let s(o) = 2*o**2 + 23*o - 15. Let l be s(y). Let m be ((-18)\/l)\/(2 - 1). Give w(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4*2884\/(-7). Let b be o\/6 - (-2)\/(-3). Let n = -20 - b. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 128945516 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 6 + 8. Let b(w) = -2*w**3 + 10*w**2 - 12*w - 12. Let a(q) = -q + 1. Let r(v) = u*b(v) + 12*a(v). Factor r(f).\nAnswer: 4*(f - 3)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2803\/9 + -311. What is the biggest value in a, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 24 - 300. Let n(p) = -p**2 - p + 1. Let i(m) = -19*m**2 + 5*m - 4. Let y(g) = -i(g) - 4*n(g). Calculate the remainder when u is divided by y(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -60*l**2. Let a(c) = -5*c**2. Calculate y(a(s)).\nAnswer: -1500*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 690255721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -5 + (-2 - -5). Let p(t) = t**2 + 2*t - 3*t - z*t**2. Give p(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c**2 + 7*c - 914. Let u(j) = -7*j**2 + 6*j - 897. Calculate -6*s(q) + 7*u(q).\nAnswer: -q**2 - 795","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*s - 9. Suppose v - 4*b = -0*b + 87, -154 = -2*v - s*b. What are the prime factors of v?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**3\/3 + 23*w**2\/2 + 71*w - 78. Let c be h(-19). Put -2, c, 3, 6 in decreasing order.\nAnswer: 6, 3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6702224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2 - 2)*(-27 + 32 - 14)*(-4 - 1 + 4).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 2*s + 4, 2*s - 2 = 5*k - 10*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and 153150?\nAnswer: 5207100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(405)*-5)**2.\nAnswer: -20250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 0*y + 0*y + (2*y**2 + 2*y - 2*y)*(-5 + 2 - 4))*(0 - 2*y**2 + 0) + 3*y**4 + 0*y**4 - 5*y**4.\nAnswer: 24*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010010 (base 2) in base 7?\nAnswer: -1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:38 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49168 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 22*g + 237. Let k be c(-6). What is the highest common factor of 1120 and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107028470 to the power of 1\/3, to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 31980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/(-18)*18\/(-8). Suppose 3*m = n*m. List the prime factors of (5\/2 - m)*310\/25.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (sqrt(684) - (-1 + -1*sqrt(684)) - sqrt(684)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 10:31 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)*l**1*(l**(-2)\/l)**(-1\/29))\/((l*l**(-2\/13)\/l*l\/(l*l**5))\/(l*l*l*l**0)**(-27)) assuming l is positive.\nAnswer: l**(-112335\/1508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 1807*r + 67301. What is n(-38)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:04 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-3 + -2 + 7). Suppose 0 = -w*h + h - 680. Suppose h = n - 2*n + 5*l, -n - 708 = 2*l. What is n rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-55)*-5)\/(140\/(-15820))*1\/(-2).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4248*c - 1923*c + 1 as a + h*c and give h.\nAnswer: 2325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11674841 is divided by 992.\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594616 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -137073 + 2?\nAnswer: -137071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + g - 6)*(1 - 1 + 1 + (-13 + 7 - 13)*(-1 + 0 - 3)) as s*g + y and give s.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -143.6541 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**4 - 8*b**3 + 6*b**2 - 2. Let x(n) = -4*n**4 + 8*n**3 - 7*n**2 + 3. Let y(m) = 3*d(m) + 2*x(m). Let y(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * -577.\nAnswer: -10963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**2 - 23*c - 14. Let p be t(-4). What is the third biggest value in 5\/3, p, -0.8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*-3*1\/12. Suppose -2*q - 2*r + x - 19 = 0, 0 = q + 5*r - 3. Let l be 4\/(q\/15)*-1. Solve 29 = -l*z + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*c**3*t + 3*c**3 + 380*c**2*t wrt c?\nAnswer: -252*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 879408 and 788.\nAnswer: 879408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-96))\/(2\/6). Which is the third smallest value? (a) 4 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4170, 5730, 7290, 8850?\nAnswer: 10410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuwwwwwwwuwwwwuuwwu. Give prob of picking 1 w and 2 u.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4613060361.99999979 + -4613060395. Let c = -78 + 111. Let s = h + c. Round s to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -10\/7, -22, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o + 112 = 4*t + 31*o, -2*o = 8. Solve 17*y + t = 112 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 389 = 29. Let j = a - -517. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-3))\/(47\/(1363\/(-174)))*138.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*y**3 + 2 - 15 + 44*y**3 wrt y?\nAnswer: 186*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10c63 + -3?\nAnswer: 10c60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3*w + 21, -6*w = -5*b - 2*w + 33. Solve -2*k - 3*g = -4, -8*k - b*g = -7*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 48232*b**2 - 144693477*b + 4236771501.\nAnswer: -(b - 29)*(2*b + 12087)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 5 + 2*m)*(15*m**3 - 10*m**3 + 5*m**3) - m**2 + m**2 + 2*m**4.\nAnswer: 22*m**4 + 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039264 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14982)\/(-44) + (-6)\/4?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 144 = r, 5*c - 5*r + 1220 = 1370 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -11.99999819. Round m to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 152 - 151. Let o be (-2)\/(-6) + n\/1. What is the closest to 2 in -1, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3315309 is divided by 4676.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -15*w**2 - 540*w - 1111. Let l(o) = 10*o**2 + 360*o + 745. Let r(d) = -5*h(d) - 7*l(d). Determine k, given that r(k) = 0.\nAnswer: -34, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -41*u**2 - 306*u - 93. Calculate c(-8).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10\/57 + -4\/95. Let k = 303\/5 - 2737\/45. What is the fourth biggest value in 4\/7, m, 0.07, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16094339 and 905?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1249900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1 - 4*p)*(4 - 4 - p).\nAnswer: 4*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-45)\/(-30) - (3 - 4468\/8) is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 12*i**2 - 21960*i + 2772044. Let d(z) = z**2 - 1996*z + 252004. Let g(q) = 32*d(q) - 3*u(q). Factor g(k).\nAnswer: -4*(k - 251)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -284 - -64?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 0. Suppose -5*v + 2*a = -26, -2*v - 3*a - 1 + j = 0. Solve -v*p = -7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*b, 22*f = 24*f - b - 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 37*v - 251. Let c be u(7). Calculate the smallest common multiple of (-3)\/(-7) - c\/((-616)\/1815) and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8135 = 11*c - 14371. Does 93 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - (-36 + 84)) + 26 + -2 + -31?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6829048 is divided by 292.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-3352)\/3771 + (-202)\/(-126))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**5\/3 + 5*x**4\/3 + x**3 - 13*x**2\/3 - 8*x\/3 + 4 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -15689679.\nAnswer: -15689678.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2782757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4\/2 - 1659*n**3\/2 - 22545*n**2\/2 + 50079*n\/2 - 12936 = 0. What is n?\nAnswer: -539, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 471 - 438. What is the remainder when 78 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33609, 32955, 32301, 31647, 30993, 30339?\n\"Answer: -654*f + 34263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151*t**3*z + 29176*t**3 - 27251*t*z + 566*t wrt t?\nAnswer: 906*t*z + 175056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*s - 23 = 0, -s = 2*z + 4*s + 1. Suppose -4*c + 11 - z = d, 5*d = 4*c + 20. What is the nearest to c in -3, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2314*i + 2318*i - 95 - 4629*i)*(-3 + 2 - 1).\nAnswer: -6*i + 190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128785130 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -k - 6*g + 255, 4*g = -5*k + 1243. Suppose 4*i + k = 5*r, -2*r = -3*i - 26 - 77. What is the remainder when 1174 is divided by r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91085, -91085, -91077, -91055, -91013, -90945?\nAnswer: -90845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*n - 659*n = 2759*n + 119429 - 309 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 7 = 43. Let w(v) = 23*v - 113. Let n be w(z). Solve 5*j = n*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-13)\/8)*2557\/5114?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 70948765 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 2*i - 44 + 22 - 267.\nAnswer: -2*i - 373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 0 - (-7 - -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1630861839.858+-0.5\nAnswer: 1630861839.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4 - 247401*r**3 - 10879563*r**2 + 22501341*r - 11374374 = 0.\nAnswer: -82423, -46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, 6, 139, -20 in increasing order.\nAnswer: -20, -9, 5, 6, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -52772*i + 633255. What is n(12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52584.97 + 52243. Round t to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5 + 90*d**4 + 1022*d**3 + 3702*d**2 + 1064*d - 5880 = 0. Calculate d.\nAnswer: -30, -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.2 (c) -1.1 (d) -142\/3 (e) -3 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i + 34 = 0. What is the remainder when 133 is divided by i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30233112012 (base 4) to base 9.\nAnswer: 6250126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 890341926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from uxbqvibi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2 + sqrt(396))*-3 - sqrt(396)) - (((sqrt(88) - 1*sqrt(88))*2)\/(sqrt(200)*1))**2.\nAnswer: -24*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4 (b) 16 (c) 33 (d) -0.01 (e) 3\/10 (f) 1 (g) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69765 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2240 divided by 28.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*r - 446 = 185*r - 3*k, -4*r + 1707 = k. Sort 4, r, 0 in ascending order.\nAnswer: 0, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -5224.\nAnswer: -5222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 9*f + 4. Let d = -4 + 4. Suppose 5*z - 20 - 25 = d. What is the units digit of g(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -183*j**3 + 4*j**2 - j - 2. Let k be c(-2). What is k rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2096435 nanograms?\nAnswer: 0.0000000002096435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 1, -5, 12, -19.\nAnswer: -19, -8, -5, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 614 + -1297\/2. Let m(f) = -15*f - 107. Let p be m(-7). Let k be (33 + -47)\/(p\/(-5)). Which is bigger: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(-4\/11)\/c)))\/c**19*(c*(c**(-6\/7)\/c)\/c)\/(c\/(c**11*c*c)) assuming c is positive.\nAnswer: c**(-787\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -1278 in descending order.\nAnswer: -4, -5, -1278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-20))\/((-464)\/(-4640))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 68662327 + 68662277 - 137324604.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**5 - 23113*k**4 - 392*k**3 + 9060296*k**2 + 38416*k - 887909008 = 0.\nAnswer: -14, 14, 23113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 222435? (a) 12 (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 1020 = 1164. Let q = -160 - j. Sort -2, q, 0 in increasing order.\nAnswer: -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**3 + 3*o**2\/2 + 85*o. Let y(q) = 3*q**2. Calculate c(y(s)).\nAnswer: -18*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 1 + 7*k - 15*k)*(12 + 10 - 6).\nAnswer: -208*k + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**4\/3 - 128*t**3\/9 + 280*t**2\/3 - 192*t - 74. Determine q so that w(q) = 0.\nAnswer: -36, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 440856461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7762564 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 - 7*b + 10. Let u be o(9). Suppose -10*c = -12*c + 152. What is the highest common factor of u and c?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22176527 is divided by 797.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p - 40. Let m be o(15). Let g be (5 - (-1 - -7))\/((-1)\/m). Solve -3*u - g*a + 3 = 0, -4*u + 3*a = u + 29 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/15 and ((-10)\/8 - 2)*12\/(-72).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23126605 is divided by 4416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 329*k + 2727. What is b(-8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.840102 + -0.84. What is r rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - (-19 - -16)) + (-5 - -9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**6\/120 - g**5\/15 + g**4\/12 + g**3\/3 - 2*g**2. Let x(v) = 11*v + 88. Let l be x(-25). Let n = l - -190. Determine h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7395 = 38*k - 88*k - 95*k. Solve 37*x - k*x + 98 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1856414452, 1856414447, 1856414440, 1856414431, 1856414420?\n\"Answer: -x**2 - 2*x + 1856414455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/12 - 1\/4. Let l(j) = j**2 + 5*j + 5. Let h be l(-4). Is r not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 35799281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*f + f - 452, 3*f - 1380 = -l. Let d = f + 34. Calculate the greatest common divisor of d and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 5*j**2 - 5*j**2)*(276 - 94*j - 274 + 623*j) + (j + 4*j - 3*j)*(-j**3 - 2*j**3 + j**3).\nAnswer: 1054*j**4 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2 + -13.2. Let d = 16 - 0. Suppose -6*r + d = 2*r. What is the second biggest value in i, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6292)*2 + sqrt(6292) - sqrt(6292) - (-2 + 1*sqrt(468))**2)*-2.\nAnswer: 128*sqrt(13) + 944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opiaidiiouoo. What is prob of picking 1 o, 1 p, and 1 i?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 9:00 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*t - 13416 = -1131 + 9734 - 3275 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from dmdbepte.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 3*v**2 + v. Let w be h(3). Let d(c) = -5*c + c + w*c. Let r(o) be the first derivative of -o**3 + 12. Determine r(d(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125040.\nAnswer: 2, 3, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2883689.\nAnswer: 89, 32401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 49 + 21 + 77. Let m be y(15). Solve -p = -5*a + m*p + 25, -3*a = 3*p - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 9) to base 6.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*(m**(-2\/3)*m)\/m)\/m*m)**24*(m\/(m\/(m\/m**(-1\/3))))**(-2\/27) assuming m is positive.\nAnswer: m**(2584\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 = 4. Sort 9, 4, p.\nAnswer: p, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -7. Suppose a = -a - 6. Is (93\/k)\/(1\/a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j - j**3 + (0*j**2 - 2*j**2 - j**2)*(-4*j + 3*j - j)*(2 + 1 + 0).\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*h - 73*h + 37*h + 37*h**3.\nAnswer: 37*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -m, 2*m - 3*w - 2 = -5. Let t = 0.41 + -0.01. What is the smallest value in m, t, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 1. Let r(k) = -k**2 - 8*k + 6. Let n be r(-9). Let c = n - -2. Let m(o) = -o - 1. What is c*g(x) - m(x)?\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*z + 9, 7 = 3*w + z. Let s be (w\/(-2))\/(1\/2). Let o be (s - -120) + 1 + 0. What is the greatest common divisor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-120) - (-3)\/15.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = 40*c - 594. Let n(y) be the first derivative of 13\/2*y**2 + 0*y + 0*y**3 + c - 2*y**4. What is the second derivative of n(b) wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**3 - 2*i - 1. Let j be a(-1). Let k(x) = -9*x - 5. Let c(d) = 4*d + 2. Calculate j*c(p) + 2*k(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 16383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - 14. Suppose -10*f + 6*f - 616 = 0. Let y = h - f. 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: Let w(b) = -482*b**2 - 18*b + 6. Let v(p) = 18800*p**2 + 705*p - 235. Calculate 6*v(h) + 235*w(h).\nAnswer: -470*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000447684837 to five decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 266247161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5))**(-46)*b**(-2\/9)*(b\/b**10*b)\/b assuming b is positive.\nAnswer: b**(413\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 441679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nppnpnppnppnnnppnnp. What is prob of picking 3 p and 1 n?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8135690 and 510?\nAnswer: 24407070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*o - o + 4*o)*(3*o + 4*o - 5*o)*(o + 1 - 1) as z*o**3 + y + n*o**2 + a*o and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**3\/3 - v**2\/2 + 3*v - 1. Let z(s) = s + 3. Let h be z(11). Let a = h - 14. Determine b(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/8700 and 105\/26?\nAnswer: 113100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a = -0*a - 33 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0359 + 5?\nAnswer: 5.0359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.018977 (b) 111 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -671\/15767 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = -y. Suppose y*f - f - 90 = 0. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -311607 - 0.2.\nAnswer: -311607.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68 plus -975.243?\nAnswer: -974.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8 - p**3 - 10*p**2 - 2 + 8*p + p. What is the remainder when 47 is divided by k(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579 - 139 = -2*o. Suppose -o - 369 = -8*g. Calculate the greatest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 4:54 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -66*r**2 - 4*r. Let m(o) = 201*o**2 + 10*o. Calculate 4*m(w) + 11*v(w).\nAnswer: 78*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*a**2 + 0*a + a - 370*a**2 + 781*a**2.\nAnswer: 8*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 934 a factor of 1487526694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -332 + -3301432?\nAnswer: -3302314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:20 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 13. Suppose 9*p - 8*p - 11 = 0. Let v be i(p). Suppose 2332 = -v*t + 6*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1836) + (sqrt(1836)*1 - sqrt(1836)) - sqrt(51))\/((sqrt(12) + sqrt(3))*-3 + sqrt(3)).\nAnswer: -5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0.02. Let r = -0.36 - l. Let g = r + 0.04. Is g greater than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, p: 2, d: 4, i: 3}. Give prob of picking 3 i and 1 p.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 26788*w + 803640. What is y(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, z: 4}. Give prob of picking 1 h and 2 z.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -70*v. Let h(i) = -70*i. Suppose -11*q + 9*q + 2*w = 12, -5*q - 28 = -3*w. What is q*x(b) + 4*h(b)?\nAnswer: 70*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/((-1)\/10 + 0). Let u be -5 - (-15)\/3 - d. Suppose 3*z - 2*l - 102 = -3*l, 2*l = -u*z + 171. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-354)\/(-12) + 6\/4. Suppose 101 - o = 2*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1339, -2629, -3921, -5215, -6511, -7809?\nAnswer: -9109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13650849 to the nearest 10000.\nAnswer: 13650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.983655um in kilometers?\nAnswer: 0.000000009983655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98410192 + 2*i**2 - 98410192.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21476929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 656, -2, 4 in descending order.\nAnswer: 656, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36, 20, -10, -60, -136, -244, -390, -580?\n\"Answer: -o**3 - o**2 - 6*o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - 3*d**2 + 9*d + d**2 + 2*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3421 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(209) + (sqrt(209) - 4*sqrt(209)*-1) + sqrt(209))*6)\/(sqrt(539) - (sqrt(539) - (sqrt(539)*-1 + sqrt(539)) - sqrt(539))*-4).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -7*u**3\/6 - 13*u**2\/2 - 1752*u. Let w(v) = 10*v + 19. Calculate 7*s(k) + 5*w(k).\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367812758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -11*g - 1. Let p(f) = 20*f + 2. What is -5*h(t) - 2*p(t)?\nAnswer: 15*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-31)\/((-372)\/128).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 75, 110, 145?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (4 + -9 + -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/560 and 71\/20?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/8*1584\/27?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/183372 and -143\/39294?\nAnswer: 550116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 20*p - 26. Let q be h(-9). Let m = q + 11. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + 0*k)*(1930*k - 3764*k - 2834*k).\nAnswer: -4668*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -1008, -1306, -1342, -1116?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42684*c**2*t - 5*c**2 - 5*c*t + 2*c - 16716*t + 18 with respect to c.\nAnswer: 85368*c*t - 10*c - 5*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -201*t + 3421. Let m be u(17). Solve 4*r - 20 = -2*k - 0, 4*k = -m*r + 28 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2 - 35*l - 15. Let i = -95 + 89. Let g be d(i). Factor 9*o**2 + 0*o**3 - 4*o**3 - 10*o**2 + 20*o - g*o**2.\nAnswer: -4*o*(o - 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000287307 rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 - 12*x + 20. Let s(r) = -3*r**2 + 12*r - 18. Let a(l) = -4*b(l) - 5*s(l). Calculate a(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1504064690 + 5?\nAnswer: 1504064695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 264.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 7\/(-35))*(-20)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*s = 240*s - 602*s - 816 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 21356?\nAnswer: 192204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**4 - 10978*h**3 + 5313942*h**2 - 13199868*h - 7929792 = 0. Calculate h.\nAnswer: -1\/2, 3, 624, 2118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1680)\/40)\/(6\/(-4))*(-2)\/4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.5 (c) 98 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48070 divided by 1045.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, t: 5, n: 1, v: 2, x: 1}. Give prob of picking 1 v, 1 t, 1 o, and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3 - 174760*f**2 = 0 for f.\nAnswer: 0, 34952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by -13329041.\nAnswer: 47\/13329041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 4:32 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -7*d**3\/3 - 6*d**2 + 19. Let v(z) = -3*z**2 - 6*z. Let n(i) = 4*b(i) - 7*v(i). Let u(h) = 2*h. Calculate n(u(r)).\nAnswer: -28*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a microgram in nanograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcxwxxxicxwxwxiwi. What is prob of picking 1 c and 2 x?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -467, -466, -465?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18954 - 18953.979. What is the smallest value in -8, -5, n, -0.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156.9 - 159.9. Sort 0, -0.2, -0.1, v, -16.\nAnswer: -16, v, -0.2, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 - 1428*i**2 - 5704*i.\nAnswer: -i*(i + 4)*(i + 2852)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1335 = 186. Let j = r - -693. Calculate the remainder when j is divided by 95.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -450\/49?\nAnswer: -450\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -8, 2\/5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 16. Suppose -5 = -y*t + 3. Suppose -2*v + 20 = 4*w, 40 = 5*v + t*w + 6. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 38*y + 407 - 2126, -237 = 4*u - 5*y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o - 5*l + 40, -5*o - 2*l = -25. Let b(i) = i**2 - 13*i - 2. Let v(m) = m**2. Let k(y) = o*v(y) - b(y). Is k(-10) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Suppose k - 5*y = -10, -4*k = u*y - 1 - 7. Factor 0*v**2 + k*v - 2\/5*v**3 + 0.\nAnswer: -2*v**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390 divided by 130.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.999945 + -22. What is y rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.5 and 888.4.\nAnswer: 12881.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*n - 812 - 499 - 89 = -52*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 29 = -889. Find the common denominator of (2\/((-8)\/m))\/(-5) and -16\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25529 = -13*w + 25516. Which is bigger: -67\/151 or w?\nAnswer: -67\/151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 99?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q. Let u be p(2). Factor -4*z**2 + 2*z**2 - u*z**4 + 4*z**2.\nAnswer: -2*z**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 9:59 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:00 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 13 = 7. Suppose 80 = 2*s + o*s. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, 2\/5, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - -2.2. Let m = 4 - t. Which is smaller: -0.1 or m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 0, -2*y - 6 = 3*h - 4*y. Let q = h + 7. Suppose -2*n - 8 = 0, 0 = -s + 4*n + 9 + 6. Which is the closest to s? (a) 3 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**2 + 8*q - 158. Let l(c) = 6*c**2 + 8*c - 157. Let x(k) = 6*b(k) - 7*l(k). What is the derivative of x(j) wrt j?\nAnswer: -12*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16748537, -66994152, -150736841, -267976604?\nAnswer: -418713441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 2*o - 1. Let q(w) = -w**2 + 1. Determine k(h) + 3*q(h).\nAnswer: -4*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30b1bb (base 13) to base 12.\nAnswer: 46a941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11635921 at most as big as -104723300\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 24 = -4*b + 5*s, 3*b = -2*s + 4. Suppose -b*j - 2 = -18. Suppose 9 = c + j*o, 6 = 3*c + 2*o - 1. Solve -3*k + c + 14 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 34, 57, 82, 109?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1303 - -1374. Calculate the remainder when 491 is divided by t.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1772 and 0.055.\nAnswer: 0.2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 202188 divided by -6?\nAnswer: -33698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**3 - 2*t**2 - 2*t - 1. Let i be p(-2). Suppose -6*z + z + i = 0. Solve 27 = -m + 5*h, -3*m + z*h - 3*h - 26 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4743388*u**3 - 892504*u.\nAnswer: -28460328*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 6 - 6 = 0. Let z = 9 + v. Let r(s) = 7*s**3 + 4*s**2 + 3. Let n(j) = -64700*j**2 + 64703*j**2 + 2*j**3 + 4*j**3 + 0 + 2. What is z*r(a) - 4*n(a)?\nAnswer: -3*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163*s**5 - 16*s - 1?\nAnswer: -3260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.205 - -0.2133. Let t = -0.10845 + n. Let p = 0.098 + t. Round p to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978423 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 26\/5 of a microsecond?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 97*f**3*p**3 + 2*f**3 - 16*f**2 - 3576*f*p**3 + f + 145 wrt p?\nAnswer: 291*f**3*p**2 - 10728*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 2 - 2 + (1 + 5 - 5)*(6*y - 4*y + 95*y).\nAnswer: 99*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 215 and 425.\nAnswer: 18275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1*(-1)\/3)\/((-5682)\/(-8523)))\/(1\/190).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -106*m + 227. Is d(-10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -3. Suppose -2*n + 14 = -w*i, 3*n + 4 = 3*i - 8*i. What is the third derivative of 34 - 6*p**n + 0*p**2 + 8*p**6 - 34 wrt p?\nAnswer: 960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 169, 197, 207, 193, 149, 69, -53?\n\"Answer: -s**3 - 3*s**2 + 44*s + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4*t + 81759 - 81771 = 0, -b + 9 = -t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/5 - 16*l**4\/5 - 5666*l**3\/5 - 33416*l**2\/5 - 60888*l\/5 - 6624 = 0.\nAnswer: -46, -3, -2, -1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3\/6 + 150*f**2 - 45000*f + 4500000 = 0?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-1)\/((-2)\/108). Let s = i + 92. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.37 (b) 0.4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-9)*f)**(-33) assuming f is positive.\nAnswer: f**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/10 - (-57)\/15. Suppose -2*c + w*c - 70 = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1 - 0.027853726020156.\nAnswer: 2.072146273979844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 6*o. Let t be y(-6). Let j(i) be the third derivative of i**4\/24 - 4*i**3\/3 - 5*i**2. Let h be j(8). Does h = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.0308 + -0.0508. Let s = l + -5.98. Which is the closest to -2\/7? (a) s (b) -1 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -39*u**4 + 9*u**2 - 9*u - 9. Let c(r) = 19*r**4 - 4*r**2 + 4*r + 5. Let h(l) = 9*c(l) + 4*x(l). Differentiate h(o) with respect to o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11800)\/3540*(-5)\/(50\/8)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a millennium in years?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3170 = 2*w - 3180 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 231\/33 - (-77)\/(-13). Suppose 16\/13*v - j*v**3 - 2\/13*v**2 + 10\/13*v**4 - 2\/13*v**5 - 8\/13 = 0. What is v?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 22694*j - 5968513. Give w(263).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73*h**4 - 6*h + 874 wrt h?\nAnswer: 292*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**5\/100 - 29*u**4\/40 - 27*u**3\/5 + 281*u**2. Factor g(s).\nAnswer: -3*(s + 2)*(s + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + 81*w**2 + 15*w + 2272. Calculate c(-41).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -36?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, 1326.\nAnswer: -10, 3, 1326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 8*n**2 - 3*n - 10. Let i be m(-9). Let c be i\/(-126) - (-2)\/(-9). Factor 0 + 2\/7*z**4 - c*z**2 + 2\/7*z**5 - 2\/7*z**3 + 0*z.\nAnswer: 2*z**2*(z - 1)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3*y + 13*n**3 + 2*n**2 + 200*n*y + 2*y wrt n.\nAnswer: -12*n*y + 78*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -30 + 31 + 11 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1832 and 37\/458.\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1695 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*j**3 - 665*j**3 - 316*j**3.\nAnswer: -1201*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.31 - 0.11. Let r = a - 3. Suppose 5*x + 0*v = -5*v + 20, 4*v - 16 = 5*x. Which is bigger: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 241768 and 34603045.\nAnswer: 276824360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -676?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7*n + 5*m = 5071, -10 = 2*m. List the prime factors of n.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2454494.\nAnswer: 2, 7, 17, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*(-2)\/12)\/(25\/225) + 519. Calculate the greatest common factor of y and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -2. Let l = 76 + -76. Suppose -5*g + 4*g - 5*v + 14 = 0, 12 = 5*g - 4*v. Sort g, q, l in decreasing order.\nAnswer: g, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/51 at most 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (80\/80)\/(2*25\/(-30)*141\/15)\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -319956, -639921, -959886, -1279851?\n\"Answer: -319965*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8 = -b - 2*w, -3*w = 3*b - 6. Let z(h) = 3*h + 1 - 2*h + 1 - b*h. Let n(i) = 2*i - 4. Determine 4*n(c) + 7*z(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 4. Let i(a) = -3*a - 5. Suppose -2*l - 2 + 0 = -3*r, -4*l = -5*r + 6. Let w(v) = l*i(v) - 5*t(v). Calculate w(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 542751370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5981 or 5980?\nAnswer: 5980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004631622 rounded to 7 decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10\/20)\/(2\/72) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) + 148\/16. Suppose g*w = 4970 - 101. List the prime factors of w.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3810 and 117426740.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f, 0*f + 4 = -2*y + 5*f. Let s be (-12)\/8 + (-13)\/(-2). Let w be -2 - -1 - (-4)\/6. Which is the third biggest value? (a) w (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387824869.\nAnswer: 43, 251, 35933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 2*f**2 - 2*f. Let l be m(2). Let b = l + 5. What is the third derivative of 113*q**2 + b - 94*q**2 - 2*q**4 - 1 wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/19 + 208\/285. Calculate the common denominator of -8 + (1 - 0)\/6 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 + 190. Suppose -3*l - 5*v + s = 0, 34*v - 34 = -l + 30*v. Calculate the lowest common multiple of 9 and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/14, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-3 + 10 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**5\/5 - 3*r**2\/2 - 4. Find the second derivative of t(z) wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 1\/53547394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 5*h**2 + 5*h + 3. Let c(j) = -j**3 + 6*j**2 + 6*j + 4. Suppose -4*m - 16 = 0, 0 = 14*v - 19*v + 2*m + 33. Give v*c(p) - 6*o(p).\nAnswer: p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 512413.99954 - 512398. Let o = j - 16. Round o to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 35*d**2 + 7*d - 446. Let x(q) = -96*q**2 - 20*q + 1338. What is -11*c(l) - 4*x(l)?\nAnswer: -l**2 + 3*l - 446","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 70.69*-3\nAnswer: -212.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -1\/4, 2\/9, 2.1, -9\/4, 0.2?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508154043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206 is divided by 1203.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*b - 4 + 4)*(-51*b**2 - 36*b**3 + 51*b**2).\nAnswer: 72*b**4 + 36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 116*x - 3341. Determine k(-63).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 6. Let u(z) = 5 + 14*z - 9*z - 4*z. Determine -5*j(i) + 6*u(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -29\/6*l**6 + 0*l**5 + 0*l**2 - 3*l + 0*l**4 + 56 + 4*l**3. What is the third derivative of r(z) wrt z?\nAnswer: -1740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 39\/13*(48\/(-20) + 2)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 10. Let r be ((-10)\/(-16))\/((-105)\/(-336)). Calculate the highest common factor of j and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 4740?\nAnswer: 42660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -724, -705, -686, -667?\n\"Answer: 19*m - 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -3*f**6\/65 + 23*f**5\/65 - 5*f**4\/78 + 20*f + 37. Factor u(a).\nAnswer: -2*a**2*(a - 5)*(9*a - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -11)*((-84)\/1120)\/(45\/(-240))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/sqrt(6))\/sqrt(11) + 3*-5*sqrt(5))**2 - (sqrt(1800)*-1)\/(sqrt(160)*6 - sqrt(10)).\nAnswer: 6*sqrt(5)\/23 + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-9))\/(17\/(-6) - -3). Suppose g*v = -r + 1603, -5*v = -2*v - 5*r - 1185. Suppose 12*k = 2*k + v. What is the greatest common factor of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 12*n. Let f(s) = -25*s. Give j(f(a)).\nAnswer: 1875*a**2 + 300*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20011100 (base 3) to base 16.\nAnswer: -118b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2547*b - 10 = 4*j - 2549*b, 4*j + 17 = -5*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 103. Let h be w(0). Let c(q) = 3*q**2 - 103 + h. Let j(r) = -2*r - 4*r - 2*r. Calculate j(c(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -577862377249 - -0.01.\nAnswer: -577862377248.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/420 + (-2925)\/(-126)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -5 - (-45 + 30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -0.89453419311201?\nAnswer: 1.29453419311201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**3 - 4*j**2 - 3*j - 5. Let y(a) = 5*a**3 - 7*a**2 - 5*a - 9. Suppose -4*x + 5 = 3*h, 48 = 4*h - 74*x + 69*x. Determine h*q(i) - 4*y(i).\nAnswer: i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**6\/2 - 10*s**2 - s - 51. Find the second derivative of g(b) wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4031 - -24073\/6. Let s = 465 + -3741\/8. Find the common denominator of s and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 839415.4 weeks to milliseconds.\nAnswer: 507678433920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*(-140)\/245.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65757*l**2 + 2*l - 65992*l**2 + 0 + 0.\nAnswer: -235*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from {m: 4, n: 1, b: 1, l: 3, k: 6, e: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28997*k**6 + k**4 - 10*k**2 - 331093*k wrt k.\nAnswer: -3479640*k**3 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 10088, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 784237 divided by -4.\nAnswer: -784237\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 17*m + 936. Let f(b) = 11*b**2. Give k(f(u)).\nAnswer: 187*u**2 + 936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -41*y + 20. Let i(p) = p. Give b(i(v)).\nAnswer: -41*v + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -628\/121?\nAnswer: -628\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + sqrt(2) + (-3 + sqrt(2))*1.\nAnswer: -3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4\/6 + 292925*n**3 + 154447342565*n**2\/6 - 51483326300*n + 77225428840\/3 = 0.\nAnswer: -175756, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/20 and -1\/27094524.\nAnswer: 135472620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 2*u**2 + u**2 + (2*u + 7*u + 2*u)*(-2*u + 0*u + 0*u))*(-4 + 0*u**2 - 6*u**2 + 3*u**2).\nAnswer: 54*u**4 + 72*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 25 = -37. Suppose -u*w = -173294 - 73732. Suppose -4*y - 10742 = -w. What is y rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c - -81e2?\nAnswer: 81c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 18. What is the closest to -0.1 in 4, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44736165.\nAnswer: 3, 5, 19, 107, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 + -7.3. Is k at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-2 + 4\/3). Suppose 5*j = -2*q + 36, -34*j + 2*q + 18 = -30*j. Sort r, j, -1 in increasing order.\nAnswer: r, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1840863 divided by -3.\nAnswer: -613621","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/19 - 28*a**3\/19 - 88*a**2\/19 - 80*a\/19 = 0. Calculate a.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66717029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 18 = k - 3*y + 3, -10*k + 7*y = 7*k - 182 + 28 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115.5 + -113. Let k = 2.6 - h. Let t = -0.7 - k. Which is the smallest value? (a) 2 (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 15*d - 24 + 51 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34\/3 + -11. Let w = 5.6 + -6. Which is the closest to v? (a) 1 (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -56 + 31, -2 = 3*m + 5*z. Let b be (-323)\/(-3) - -2*3\/m. Let i be (-265)\/(-2)*56\/70. Is i < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -14*b - 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 n, and 2 v when four letters picked without replacement from {v: 3, d: 4, n: 9}.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/b**(-1\/6)*b)\/b)\/((b**(-5)*b)\/b*b))\/(b**(-1)*b)**43)**37)**(1\/22) assuming b is positive.\nAnswer: b**(1147\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**3 + 3*x**2 - 5*x. Let o(t) = 8*t**3 - 5*t**2 + 7*t. Let i(q) = 7*c(q) + 5*o(q). Find the third derivative of i(s) wrt s.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 + 0*l**5 - l**5 + (-79*l**3 + 12348*l - 12348*l)*(-l**2 + 1 - 1).\nAnswer: 80*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 19*c**2 - 4*c + 2. Let m be d(1). Solve -m - 8 = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.72 - -13.82. Suppose -3*g - 15 = 0, -3*i = 4*g + 21 + 5. Let w be 9*((-4)\/6)\/i. What is the third biggest value in k, 0.2, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5082*d*g*x**2 + 2*d*g - 5902*d - 36*g*x**2 + 2*x - 13 wrt x.\nAnswer: 10164*d*g - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (8 - 5 - 11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a minute in seconds?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.7? (a) -7\/2 (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*-1.04.\nAnswer: -43.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 0*h + 4\/3*h**2 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*2\/4*-5. Suppose -4*m = -2*m + 5*f + 12, -2*m - f + 4 = 0. Let k(w) = -m*w**2 + 0*w**2 + 2*w**3 - 5*w - 2 + w**3 - 2*w**3. Determine k(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (45\/(-3) - -5). Which is the nearest to -2? (a) g (b) -2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -199 + 199. Suppose 5*m + 16*m - 105 = l. Solve -o - 28 = -m*g, -2*g - 3*o - 1 = -2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*j**3\/7 + 96*j**2\/7 - 90*j\/7 + 22\/7.\nAnswer: -2*(j - 11)*(2*j - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-484 + 68 - 44 - 557)*(-3*y + 2*y + 2*y).\nAnswer: -1017*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i + 1. Let c(h) = 80 - 40 - 29 - h. Suppose -5*p + 2*p + 36 = 0. Let q be c(p). Determine d(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1007576 (base 9) in base 7?\nAnswer: -4364436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**2 - 56*v - 5. Let q(c) = -5*c**2 - 71*c - 4. What is 3*g(l) - 2*q(l)?\nAnswer: -2*l**2 - 26*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -73186.14 take away 0.1?\nAnswer: -73186.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from iiaa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-14)*0\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 985958.1t to milligrams.\nAnswer: 985958100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:51 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 745 divide 637569545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4051520 and -29\/368320.\nAnswer: 4051520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 59*r**2 - 4*r - 6. Let n = 14 - 8. Let o be g(n). Suppose -3*t = k + o, -4*t = 5*k + 5796 + 4696. Round k to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27058124*m**4*s + 5*m*s - m - 91*s - 1459 wrt m?\nAnswer: 324697488*m**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + 5 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2003*j - 2022*j + 36575 = 0. Calculate the highest common factor of 220 and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32165 or -18?\nAnswer: 32165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -17397, -49, 21, -3 in increasing order.\nAnswer: -17397, -49, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116 + 114. Sort v, -1, -0.3 in ascending order.\nAnswer: v, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7354 = -2*z + 5*b + 2575, 4*z - 5*b - 19853 = 0. Calculate the lowest common multiple of 16 and z.\nAnswer: 39696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {h: 1, v: 1, f: 1, r: 3, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1788711 is divided by 4189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18 + 10.82. Let c = s + -9. Let h = 0 + -3. Sort h, -1, c in ascending order.\nAnswer: h, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 161, 187, 217, 251?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*7\/((-756)\/(-16)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/26 - 18\/(-6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**23*j*j*j**(-8) assuming j is positive.\nAnswer: j**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 2*a**2 + 2*a + 1. Let k be (-1 + 2)*-2 - 1. Let l be x(k). Suppose -5*d = -d - 20. Solve -l = -d*n + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10441320 divided by -2088264\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1082 and 572.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 16*n**2 + 2*n + 1. Let b be g(-1). Let l be (-85)\/(b\/(-3)) - -1. Suppose -6*j + l = -36. Calculate the greatest common divisor of 99 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11858\/735 + (-2)\/15. Let o(f) = 35*f**2 + 3*f + 3. Let j(b) = -174*b**2 - 16*b - 16. Calculate y*o(c) + 3*j(c).\nAnswer: 38*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -244.1148 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 60586881 and 3\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(-4 + (sqrt(2299) + 3 + 5*sqrt(2299) - (sqrt(2299) + -3)*-3)))**2.\nAnswer: -158400*sqrt(19) + 14905520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 11*t + 55. Does 3 divide w(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.34 and -195007055898.\nAnswer: -195007055897.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 3*m**2 - m + 3. Let t(n) = 8*n + 1. Let h be t(1). Let g be (-12)\/(h\/(-3)) + -1. Let w be f(g). Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:56 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-36)\/14)*19305\/36036.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 658*n**2 + 14*n + 3. Let m(w) = 219*w**2 + 5*w + 1. Suppose 22 = -7*a + 5*a. Let g(x) = a*m(x) + 4*i(x). Is g(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11022404300 + 3?\nAnswer: 11022404303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1024*n**2\/5 - 184775616*n\/5 + 8335456120161\/5.\nAnswer: (32*n - 2887119)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d**3 - 7*d**2 - 4*d + 2. Let c be r(-1). Solve s + 2*s - c*l = 5, 2*s + 5*l - 20 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2872961\/714 - 3\/(-2). Let p = j + -4025. Let f = 24\/17 + p. Sort -0.1, f, -2.\nAnswer: -2, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcc when three letters picked without replacement from {c: 8, k: 5}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-19642)\/(-6832)*(-12)\/(-92)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -261*f. Let b(q) = 2*q. Give b(v(w)).\nAnswer: -522*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, s: 1, g: 4, y: 5, q: 3}. What is prob of sequence ggq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkqz when four letters picked without replacement from kqkkqzqzkk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1827604, 2, 3, -4, -3 in ascending order.\nAnswer: -4, -3, 2, 3, 1827604","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310, 1232, 2768, 4918, 7682, 11060?\nAnswer: 15052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 489 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*v = -8, -3*g + 2*v + 5 = -3. Suppose -g*a - 54 = -5*j, 2*a = -5*j + 6 + 42. Calculate the remainder when 37 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**3*o**3 + 148*h**3*o**2 - 8071*h**3*o - 123*h**2*o**3 + 16*h**2*o**2 - 2*h*o**3 - 2*h*o**2 + 6*o wrt h.\nAnswer: -6*o**3 + 888*o**2 - 48426*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 128 + -17?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 33\/3)\/(21\/(-371)). Suppose 0*v = 2*v - 26. Suppose -v*z = h - 860. What is the remainder when z is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpxxxmpppxppplxp. Give prob of picking 1 l and 1 x.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 52286 from 2599090.\nAnswer: 2546804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3041 - 27361\/9. Let a be (-10)\/2*3\/(-5). Let u*n + 8\/3*n**2 + 26\/9*n**a + 0 + 2\/9*n**5 + 4\/3*n**4 = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2121 + -10603\/5. Which is the second biggest value? (a) -1 (b) -3\/4 (c) -135 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -642 + 1476. Suppose 2*d + v = 2*g, 4*g + d = 6*g - 829. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + 26. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4)*m**(-2\/15))\/((m*m**(-11)*m)\/m*m**23) assuming m is positive.\nAnswer: m**(-803\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 29.5. What is the second smallest value in -1, -0.3, d, -2\/27?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncxxlwlnb. Give prob of sequence xnbn.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {d: 1, c: 2, r: 4, g: 4, s: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 2 - -9) + (13 - 3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 14 (c) 0.2 (d) -0.0414 (e) -0.1 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -271*g**4 + 2*g - 4*g**2 - 3*g + g**3 + 2 + 268*g**4 in the form w + v*g**2 + c*g + p*g**4 + y*g**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**2 + 2*c + 5. Let j(n) = 3*n**2 + n + 2. Give -6*h(t) + 10*j(t).\nAnswer: -6*t**2 - 2*t - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/52 and 64\/100295.\nAnswer: 401180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**4 + 124012*a**3 - 937123176*a**2 - 375364189312*a + 754475879296 = 0.\nAnswer: -383, 2, 15692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 5*u + 3. Let j be r(4). Suppose -5*y + 4*s + 689 = 0, 3*y - 3*s - 407 = -j*s. Suppose -2*f + 50 = 2*g, -y = -4*f + g - 52. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(468) + -2 + sqrt(468) + 4 - sqrt(468)) + -3 + -1 + 3)*-2)**2.\nAnswer: 288*sqrt(13) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0159572318 - -1\nAnswer: 0.9840427682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 2*r**2 - r - 1. Let v(i) = -47*i**3 + 6*i**2 + 3*i - 3. What is -3*d(h) - v(h)?\nAnswer: 44*h**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11)*x**(-1\/5))**(-43) assuming x is positive.\nAnswer: x**(2408\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/13 + 122714*x\/13 - 613620\/13.\nAnswer: 2*(x - 5)*(x + 61362)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 76 - (-5 - ((14 - 5) + -5)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l = -z + 18*l - 14, -4*l = -9*z - 126 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/11, -398, -2.17, -2\/3 in decreasing order.\nAnswer: -2\/3, -10\/11, -2.17, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(sqrt(243) + 2))**2.\nAnswer: 14400*sqrt(3) + 98800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23*(-16)\/(-56) - -7\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 5*m. Let x(t) = -2*t**2 + 10*t. Give 11*p(d) + 6*x(d).\nAnswer: -d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 27*t**3 - 66*t**2 + 0 + 3\/4*t**4 + 0*t + 1\/120*t**5. Find n such that o(n) = 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260534?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2. Let l(d) = -2736959*d. Determine t(l(k)).\nAnswer: -7490944567681*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221893610?\nAnswer: 2, 5, 2293, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0092981 rounded to 5 decimal places?\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -3, 40979, -2, -1 in decreasing order.\nAnswer: 40979, 5, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + 13 - 1\/(2\/10). Let t be (-65)\/(-15) - (-2)\/(-6). Let i(y) = 0*y - y + t*y**2 - 2*y**2 + 7 - 3*y**2. Determine i(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 23*d**2 - 39*d.\nAnswer: d*(d + 13)*(2*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 5. Suppose x = d + 70. Let w = -37 - d. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**6\/120 + n**5\/12 - n**4\/8 - n**3\/6 + 17*n**2\/2 - 14*n + 1. Let k(x) be the first derivative of o(x). What is k(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*(-14)\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -100210, 2, -5, -1 in decreasing order.\nAnswer: 2, -1, -2, -4, -5, -100210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4109*g**3 - 636*g + 4107*g**3 + 636*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1037743 (c) -0.2 (d) -3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36889 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7730, 15458, 23186, 30914, 38642?\nAnswer: 46370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6 = m + 42, 10 = 5*m. Let w(g) = -g**3 + 11*g**2 - g + 5. What is the tens digit of w(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10134140220 (base 5) in base 10?\nAnswer: 10458810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -86, 51, 186, 313, 426?\n\"Answer: -i**3 + 5*i**2 + 129*i - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 337 + -334. Solve -v*z + 5 + 10 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359*h + 436 = -355*h. Suppose 108*x = h*x - 38. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**3\/3 + 3*j**2\/2 - j + 1. Let b = 35916 + -35918. Let c(y) = -y. Give b*w(n) - 5*c(n).\nAnswer: -2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4))**(-4\/5)*(k\/(k\/(k**(2\/37)*k))*k)**(-1\/47) assuming k is positive.\nAnswer: k**(27444\/8695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -108640.53741?\nAnswer: -108640.43741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.458 + -28.7. Let j = s - 0.758. Which is the second smallest value? (a) j (b) 1\/2 (c) -20.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 - g**3 - 2*g**3)*(3 + 4 - 5)*(-4 - 7 - 4).\nAnswer: 180*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11367 (base 9) in base 12?\nAnswer: -448a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23552 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*n - 88*n + 3*z = 11, -3*z = -2*n - 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465 - 443 = -4*v - 3*p + 2*p, 0 = 348*v + 2*p + 981 + 1103 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 7*h**3\/6 + h**2\/2 + h - 1. Let r(u) be the first derivative of o(u). Is r(1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7888 and 19467856.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2547*q**3 + 3*q**2 + 2545*q**3 - 3*q**2 - 5090*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7362463678 to the nearest integer?\nAnswer: 85805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g. Let w(l) = -96*l + 173. Let v(u) = -68*u + 117. Let m(a) = -7*v(a) + 5*w(a). Give -m(d) - 3*o(d).\nAnswer: d - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2\/4 + 30501*a\/2 - 304985\/4 = 0.\nAnswer: 5, 60997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2872 + 2886. Let k(c) = -c**2 + 12*c + 4. What is k(h)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 12 = 4*z + 4, 3*r = 4*z - 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 (base 15) in base 3?\nAnswer: 11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1939 - 396. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*((sqrt(8)*5 - sqrt(2)) + 4))**2 + ((sqrt(450)*-3)\/sqrt(9))**2*4.\nAnswer: 1152*sqrt(2) + 4646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 403281 or 403279?\nAnswer: 403279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-2)\/(6\/21). What is the second derivative of 5*p + 3*p - t*p + 2*p**3 wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287.51 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-424)\/265)\/((-2)\/15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8915580 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + a909?\nAnswer: a904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2034090533 to the nearest integer?\nAnswer: 45101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 80 = 5*t - 4*j, -t + 44 = -3*j. Which is smaller: t or 131\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -23. Suppose -2*q = x*l - l, 5*q = 5*l. Solve -s + 0*s - 7 = 3*n, 3*s + n + 5 = l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 23*h**2 - h + 1. What is t(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 350 + -346. Sort k, 18, 2 in descending order.\nAnswer: 18, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 10. Suppose 0 = 2*v - 3*h - 57, -2*v = -0*v - g*h - 51. Suppose -5*s + 195 = 4*a, -2*a + s = v - 134. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0.1. Let t be (-4)\/(-11 + 3 + 7). Let g = -0.05 - 0. What is the biggest value in c, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 220 - 1539\/7. Which is the fourth smallest value? (a) -3 (b) v (c) 2\/15 (d) 1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13007\/90 - 2\/9. Let h = -145 + a. Let q = h + 57\/110. What is the biggest value in q, 3, -4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 177982161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1857 - -2019. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - a = 22, 4*n + n = -a - 40. Let o be 2 + (2 + -1 - n). Let u = -2 + o. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 f when three letters picked without replacement from {n: 2, f: 7, x: 6}?\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 88739.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -29. Let c(r) = r**3 - 5*r**2 - 4*r + 12. Let s be c(y). Let l = 53 - s. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.098, -0.2, -8, -4.\nAnswer: -8, -4, -0.2, -0.098, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 4:30 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 + 2. Let j(b) be the first derivative of -b + 1739. Give j(l) + w(l).\nAnswer: -4*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 73, 30 in descending order.\nAnswer: 73, 30, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 68. Let z(m) = -5*m - 6. Give z(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-14)*(0 + 14). Solve -o = -5*a + a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30174 from 0.1981.\nAnswer: 30174.1981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -48*p**3 - 3*p**2 + 3*p. Let f(k) = -912*k**3 - 56*k**2 + 56*k. Determine -3*f(z) + 56*r(z).\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 6:29 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f - f)*(-4*f**2 + f**2 + 5*f**2) - 5*f + 2*f**3 + 5*f + (-f**2 + 3*f**2 + 0*f**2)*(-3*f - 4*f + 3*f) + 2*f**3 + f**3 - 5*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.041 (b) -5\/43 (c) 0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*n - 116*n - 130964 + 910509. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (4 + -8)) + 5 - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2131?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 - 6 - (-14 + 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(30))\/sqrt(6) + (-5 + sqrt(20)\/sqrt(4))**2 + -1.\nAnswer: -11*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 14. Factor r**3 + 5*r**3 + 4*r**4 + 0*r - 2*r**4 - k*r.\nAnswer: 2*r*(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3*((-27296)\/48 + -1) is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*o + 2*g - 45, 3*o + 55 = 5*g. Let t be (-30)\/(-8) + o\/20. Suppose 0*d - 3*d + 5*f = -136, -132 = -t*d + 3*f. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + 5*w + 6*w**2 - w**2 + 2*w**2 - 3*w**2 + (5*w - w - 3*w)*(-2*w - 1 + 1) + (-6*w - 2*w + 2*w)*(w - 1 + 1) + (2*w - 3 + 3)*(-4*w + 6*w - 4*w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0*q**3 - 58*q**2 - 1\/2*q**4 + 0 + 0*q. Let m(p) = 13*p**2. Determine g(m(o)).\nAnswer: -156*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2*q - q - 4*q + 3*q + 3*q + (3 + 2 - 3)*(-4*q + 6*q - 3*q) - 2*q + 5*q - 2*q + 2*q - q - 3*q - 2 + 3 - 3*q + 4*q)*(-7*q**3 + 32*q**2 - 32*q**2).\nAnswer: 21*q**4 - 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*n - 12 = 0, y + 6*n - 8*n = -5*n - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 130*-262861\nAnswer: -34171930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22, -89, -208, -385, -626, -937?\n\"Answer: -x**3 - 20*x**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -28. Suppose 115 = 5*m + 85. What is the greatest common divisor of m and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**2 + 9*l + 239. Calculate i(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - z + 3*z + 99, 0 = -5*c - 4*z + 165. Calculate the remainder when c is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, f: 7}. What is prob of sequence fss?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 148a2b?\nAnswer: -148a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10029 is divided by 324?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9168\/11 + 220747\/264. Let w = 2364749\/4998285 - -1\/161235. What is the common denominator of w and q?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(3\/((-401769)\/(-6))). Let s = k + 64623. What is s rounded to the nearest one thousand?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111012200021122100 + 20?\nAnswer: -111012200021122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Let k = -190 - -411\/2. Let a = 203\/10 - k. Is a at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h + 1. Give w(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1921 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 770 = -189. What is the remainder when g is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 7*v - 16. Let g be w(10). Suppose -3*z + 2*f + g = -2*z, 4*f = 5*z - 40. What is j in -660*j + 6*j**2 + j**z + 2*j**4 + 9*j**3 + 660*j = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and -723\/43 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*l - 2579 - 2544 - 1597 = -31*l for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 - -288. Let y be -7 + (-5)\/((-35)\/c). What is the greatest common factor of 374 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*t - 3*m - 3, -3*t - 16 = -4*m. Put 3, t, -3, 1 in increasing order.\nAnswer: -3, t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -15. Let y(l) = -l**3 - 46*l**2 - 332*l + 40. Let s be y(-37). What is the highest common factor of s and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 5*b**2 + 5*b - 11. Let k be f(5). Let q(d) = 7*d - 1. List the prime factors of q(k).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 6*p**2 + 5*p + 6. Let c be q(-6). Let i be 6\/(-10) + c\/10. Let w be (i - (-5 + 2)) + 2. Calculate the greatest common divisor of 22 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2961, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 + -19. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + l + 1. Let p(u) = 75*u**2 + 60*u + 60. Let j(k) = 60*i(k) - p(k). Let a(w) = -5*w**2. Determine a(j(f)).\nAnswer: -1125*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 11, 2, 1, 91 in decreasing order.\nAnswer: 91, 11, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*f + 11*f. Suppose m + 2*m + h - 4 = 0, 16 = f*h. Solve m = -5*l - 10 - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - t + 14. Let i = -13 + 13. What is the least common multiple of j(i) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 1. Let o(s) = 30*s - 5. Determine -o(k) - 4*t(k).\nAnswer: -30*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -21. Let a = 137.061 + -137. Let r = a - -4.939. Sort i, r, -2 in decreasing order.\nAnswer: r, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from koaoaoloaooaoooklka. Give prob of picking 3 k and 1 o.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.088. What is u rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.27572 + -479527.\nAnswer: -479533.27572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22818 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*f**2 - 2*f**6 + 24*f**2 + 17*f**2 wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2220200 - -4?\nAnswer: -2220185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1) + 0 + (6 - 5). What is the remainder when 71 is divided by (d\/12)\/(1\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19663776 and 576.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -27*f**4\/8 + f**3\/3 - 7*f**2 + 17*f. Let w(q) = q**2. Determine l(w(d)).\nAnswer: -81*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 601*k - 101566. Determine s(169).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 20 - 13*c**2 + 2*c**2 - 4*c**2.\nAnswer: -16*c**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 11. Let b = g + 3. Suppose -b*k = -14*k + 44. What is the remainder when k is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/(z\/(z*(z*z**(-2))\/z*z)))\/((z*z**(2\/11))\/z**(-6)) assuming z is positive.\nAnswer: z**(-79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5446288 is divided by 778039?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -3*x**4\/32 + x**3\/4 + 9. Factor h(t).\nAnswer: -3*t**2*(t - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -119*x + 5194. Determine o(43).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/20205 and 131\/24.\nAnswer: 161640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-15*4\/(-6). Suppose -28 - 22 = n*o. Let b(x) = -x + 3. Calculate b(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 7. Let s be v(5). Suppose -6*i + 4*i - a = -29, s*i - 42 = -2*a. Solve -5*g - m = 22, g + i = -g - 4*m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 568606348 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 5, 15, 29, 47?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 g when three letters picked without replacement from {g: 1, r: 2, f: 2, m: 5, c: 6}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-1*40\/(-68)*(1309\/204)\/77).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + 4*c - 2. Let y(k) = 2*k - 3. Let v(a) = a - 2. Let q(m) = 3*v(m) - 2*y(m). Let d(w) = b(w) + q(w). Determine d(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*h - 2, -4*z + 1 = -h - 5. Suppose 4*d = h*d - 2*k + 18, 4 = -k. Let c = d + -13. Solve 0*m - 4*m = 8, c = -2*f + 3*m + 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 = 40*m - 172*m + 45*m - 1353 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 j when three letters picked without replacement from {j: 11, x: 2, k: 1, i: 5}.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 40*n**2 + 42*n - 116. Let l be d(39). What is the greatest common divisor of 61 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + (-9)\/((-9)\/2). Let f = 22 - z. Suppose -19 + 67 = 3*l. Calculate the lowest common multiple of f and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 1.21 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 716475*t**2 + 42776244225*t - 213899133375.\nAnswer: 3*(t - 5)*(t + 119415)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 286 - -1585e?\nAnswer: 15ae4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**3 + 7*f**2 + 5*f + 1. Let p(g) = -4*g**3 - 6*g**2 - 5*g. Let a(l) = 5*j(l) + 6*p(l). Is a(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-8.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*m = 212 - 229, 0 = 3*u - m + 10. Let l be 2*-2*(u + (-105)\/(-36)). Find p, given that l + 1\/6*p**3 + 5\/6*p + 2\/3*p**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 271 + -124. Calculate the greatest common divisor of o and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14650, -58464, -131426, -233530, -364770, -525140, -714634?\n\"Answer: b**3 - 14580*b**2 - 81*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from hppgppghpphgpphg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*z + 1, 2*z - 4*q + 4 = -3*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99.5 + -99. Let k = -0.1 + 0.1. Let p = q + k. Sort -0.2, p, 1\/6 in increasing order.\nAnswer: -0.2, 1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 20. Let u(f) = -15199*f**3 + 6*f**2 + 4*f - 5. Let l be u(c). Round l to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -7807?\nAnswer: -7806.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/114 + 211024\/10032.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3576015010 to the nearest one hundred thousand.\nAnswer: -3576000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 24 = -2*p. Let c = p + -20. What is the lowest common multiple of 5 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**6*p*p)**(20\/9)\/(p**3\/(p\/(p**(-1\/3)*p))) assuming p is positive.\nAnswer: p**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x\/x**(-1\/17))*x)*x**(3\/4)*(x**(2\/7))**(-1\/44) assuming x is positive.\nAnswer: x**(4201\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -1. Let j = a - -6. Differentiate -5*k**3 - 4*k**4 + 5*k**3 - 4 + 10*k**j with respect to k.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b - 30. Let z = b - -10. Put 1, -3, z in ascending order.\nAnswer: -3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 0*s - 2*s - 323 + 311 = 0, 7*s + 35 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*z + 53 + 62 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(5\/(350\/(-20)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.2 - 7.9. Which is the nearest to -2.6? (a) 0 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1040324423 (base 5) to base 13.\nAnswer: -619474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i - 16. What is the tens digit of 2\/i + ((-106)\/(-4) - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 + -9 + 4 + 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.8+-38329\nAnswer: -38331.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155120 less than -0.04?\nAnswer: -155120.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1593362930 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i + 12. Let s be r(-5). What is the units digit of (-4)\/(-12)*-3 + (s - -187)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/3 + 4169772*f - 6520124449494 = 0.\nAnswer: 3127329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 12*r - 10*r + 411)*(4*r**3 - r**3 + 2*r**3).\nAnswer: 10*r**4 + 2110*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6600 (base 7) to base 9.\nAnswer: -3203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 94152?\nAnswer: -9414a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 21 = 4*g - 4*l, -l + 7 = g. Let c = -6 - g. What is the smallest common multiple of 18 and (-288)\/c - (-16)\/(-104)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, z: 6, r: 1}. Give prob of picking 1 g and 2 z.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 + -782)*((-20)\/(-8) - (-8587)\/(-310))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**3 + y**2 - 32*y + 3 + 42*y**4 + 34*y - 40*y**4 as q*y + c*y**4 + l + z*y**3 + i*y**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -504735632\/40022437 - -172\/57421. Let t = -216\/17 - c. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 18*g + 17. Let x be n(17). Solve r + x + 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 2*l + 4*f, -3*l = -f - 121 - 376. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/30*(-2)\/11.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, j: 2, o: 7, y: 2}. Give prob of sequence jyg.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 38*i**2 - 104*i - 6254. Calculate d(-36).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/2)*q*(q**(-31)*q*q)\/q)**(1\/13) assuming q is positive.\nAnswer: q**(-53\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*w - 78*w + 3*q - 27, -w - 5*q + 31 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6\/(g*g**5*g))**(-2\/9))**32 assuming g is positive.\nAnswer: g**(64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/12 + 211*l**3\/6 - 2*l + 97. Factor b(d).\nAnswer: d*(d + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75803, -151356, -226909, -302462, -378015?\nAnswer: -453568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 16\/138989 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*h - 64, 3*b - 1436*h + 123 = -1433*h for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220402575 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.8 + -7. Let j = 0.5 - -3. Let y = -0.5 + j. Which is the biggest value? (a) 2\/15 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124*(5 + (-341)\/(-22))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.901 + -0.009. Let s = n + 1.91. Let l = 50 + -50. Which is the nearest to -0.1? (a) s (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 153*j + 4356. List the prime factors of a(36).\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) - (-45)\/84. Let y = 1.11 - 0.11. What is the nearest to l in y, 3\/4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*w = -u - 34, 0 = -5*u - 2*w - 43. What are the prime factors of 36*(-6 + -1)\/u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1002\/5 - 201. Which is the third smallest value? (a) 3 (b) 1.3 (c) f (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 + 7?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 21 = -2*m, 5*y - 7*m + 2*m = -15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(975)*-4)\/(sqrt(108)\/sqrt(9)).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 39. Let r(w) = -w**2 - 11*w + 17. Let a be r(f). Suppose -5*k = 2*d - 25, 2*d + 5 = -a*k + 6*d. Solve -o = m + 6, m - k*o = -m + 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7329151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*s - 5*t = 215*s - 103*s + 15, 3*t + 35 = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -11*f**5\/20 + f**4\/4 + f**3\/6 - f**2 - 376*f. Give y(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -5\/2*s**4 + 0*s**2 + 1\/3*s**3 - 1 - s. Let c be b(-1). Solve 5*h + 12 = -o, -4*h = -0*o + o + c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.691 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5239 + 19031. Let r = z - 9701. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 5*n - 6*n + 3*n + 10, 0 = 8*w + 4*n + 44 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-62) - ((-5220)\/(-372) + 10)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(1\/20)))**(24\/7) assuming i is positive.\nAnswer: i**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 times 24053?\nAnswer: 649431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, 6, -320 in descending order.\nAnswer: 6, 0, -18, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*t**2 - 456*t**2 + 209*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2982 and 32158882?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*25\/(-700)*14*(-2)\/(-132).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5\/9 + 7*a**4\/9 - a**3 + 5*a**2\/9 - a\/9 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**7\/735 + 467*s**6\/420 + 2*s**2 - 307*s. Factor q(k).\nAnswer: 2*k**3*(k + 467)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 22*y - 125. Let d be m(6). Let w(r) = 4*r**2 - 6*r + 11. Let q be w(6). What is the greatest common factor of d and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-18))\/1*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10229.6945 + 10227. Let d = b + 2.7. Round d to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytyt when four letters picked without replacement from tytyytttnttyytnyt?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -107963, -107962, -107961, -107960, -107959?\n\"Answer: h - 107964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {r: 2, i: 1, z: 4, l: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (16 + -4 - 34)) + -141?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 3, s: 1, n: 3, f: 2, i: 3}. Give prob of sequence is.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -860*64\/640 - (6 + 2)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and -0.0544.\nAnswer: -0.07072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c527 - 1d?\nAnswer: -2c546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**3 - 3*y**2 - 6*y - 5. Give c(-3).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 403\/124 + 6\/8. Suppose -2*p - 22 = b*w - 10, 5*p + 10 = 0. Let y(j) = 5*j + 1. Determine y(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -7*z + 88. Suppose -3*s = -5*g - 45 + 27, -5*g = 4*s + z. Solve -3*m - 4*v + s - 23 = 0, 0 = 4*m - 3*v - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002325 rounded to 7 dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 + 9*d**2 - 6*d**2 + 18*d**2.\nAnswer: 34*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 115987307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -540\/386537?\nAnswer: -540\/386537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*m + 698500020, 7 = -m + 11. Round g to the nearest 1000000.\nAnswer: -140000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -43. Suppose 320 = 2*h - p*z + 5*z, -4*h = 5*z - 646. What is the remainder when h is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 14*s - 42, -46*a + 51*a - 2*s - 6 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + (61 - 69).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -4, 0.2, 2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*l*o**3 + 332786*l*o**2*t - 19*o**3*t - 1782*o**2 - 16*o wrt t?\nAnswer: 332786*l*o**2 - 19*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2285, -9038, -20295, -36056, -56321?\n\"Answer: -2252*j**2 + 3*j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546569469 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(-48) - 4\/(-6). Let c = 1 - -3. Let j = -4.08 + 0.08. Put c, z, j in descending order.\nAnswer: c, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) -5.2 (c) -0.5 (d) 0.002 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**3 + 0*z**3 - 3*z**3)*(-1 - 1 + 3)*(-6 + 3 + 0 + (0 + 1 + 12)*(-4 + 1 + 1) + 2 - 1 - 2) to the form h*z**2 + u + i*z**3 + m*z and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, y: 4, z: 5, s: 3}. Give prob of sequence zrs.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 1. Let w(c) = 4*c - 9. Calculate 6*n(v) - w(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/24*3 + 7755\/(-12). What is n rounded to the nearest ten?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -38105.\nAnswer: -38104.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -348?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 22 - (-9 - (-2 + 0))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7138092817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4742, -19152, -43142, -76700, -119814, -172472?\n\"Answer: 2*q**3 - 4802*q**2 - 18*q + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j\/(j\/j**(-2\/17))))\/j*j*j**(6\/5))\/((j*j**1*j)\/j)**(1\/17))\/((j**2*j**1)\/((j*j**(-2\/9)*j)\/(j**(3\/7)\/j))) assuming j is positive.\nAnswer: j**(803\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55827335539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -51 and 14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 + -2.8. Put 4, 2, a in descending order.\nAnswer: 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 15. Let l(z) = 2*z - 46. Let x(j) = 4*l(j) - 11*n(j). Let o be x(-11). Solve f - 5*v = o, -5*f = -0*v - v - 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 389.7 + -390.2. What is the second biggest value in 1\/7, -20, 5, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 4. Let q be m(5). Suppose -q + 0 = -3*v. Suppose 2*x = 7*x - k - 4149, k = -v*x + 2491. What is x rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 132*l - 219 = -129*l, 2*l - 624 = -3*t. Which is greater: 207 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(84) - (sqrt(84) - (sqrt(84) + -2*sqrt(84)) - sqrt(84))))\/(1*sqrt(12)*-5) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 t when three letters picked without replacement from athzwahaaw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24982500 rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*h**2*k**2 + 23*h**2*k - 10*h**2 + 2*h*k + 261*h wrt k.\nAnswer: 12*h**2*k + 23*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -204?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdp when three letters picked without replacement from szffspdsszdj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -24, 7 in descending order.\nAnswer: 7, 3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -103\/20755301 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 - -95. What is the lowest common multiple of i + (-6)\/((-18)\/87) and 20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 90082, 180164, 270244, 360322?\n\"Answer: -d**2 + 90085*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 <= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17209884 and 86862?\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**11)\/w*w**(-25)*(w\/(w*w\/(w\/((w*w**(-4\/5)\/w)\/w)*w))*w)**43)**33 assuming w is positive.\nAnswer: w**(24981\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4)*4 + 5)**2.\nAnswer: 40*sqrt(13) + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*f - 35, -2*m - 3*f + 1 = 6. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521252697 minus 307?\nAnswer: -1521253004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a factor of 4401110938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -74, -167, -298?\n\"Answer: -19*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 7*o - 5*o**2 + o**2.\nAnswer: -2*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 11*j - 48. Let n = 13 + j. Calculate the greatest common divisor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 33*o - 14. What is r(-34)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-3 - -11) - -9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + sqrt(76)*-2 + 5 + (6*-1*sqrt(228))\/sqrt(12) + -3)**2.\nAnswer: 40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(76\/(-950)*20\/2)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 22*k + 125. Let q be p(-15). Is 229 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -31. Let d = i + -17. Let r(p) = -d - 2*p + 4 - p. Let s(t) = t**2. Determine s(r(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.3235 * 0.604.\nAnswer: -3.819394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*i**4 + 143*i**4 + 180*i**4 + (i + 3*i + i)*(-4*i**3 + 4*i**3 - i**3).\nAnswer: 293*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 8*v**2 - 6*v + 10. Suppose 2*b + 35 = -3*b. Let m be u(b). Solve m*g = 3*y - 3, 5*y - 3 - 4 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*u = 10, -4*v - 6 = -u + 4. Let l be 3\/v + (-28)\/(-8). Factor 3 - 3 + i**l.\nAnswer: i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9176428 and 7108.\nAnswer: 7108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 12*x**2 - 1. Let p(k) = k - 7. Let t be p(6). Suppose 30 - 216 = -6*n. Calculate the remainder when n is divided by v(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 185*q**2 + 1531*q - 902. Give u(-193).\nAnswer: 1607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 13340311011?\nAnswer: 13340311014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.405*14078.\nAnswer: -5701.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 4*m + 2 - 1, 4*m = -g + 3. Let i be (0 + g + 0)*-4. Let k(z) = -2*z + 5. Let l be k(i). Sort l, 5, 1 in ascending order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 1, -1\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2\/3 + 1013*l - 15220\/3 = 0.\nAnswer: -3044, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**13)**42)**(-4) assuming b is positive.\nAnswer: b**(-2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -2.28. Let h = -1 - z. Suppose -4*g + 10 = -0*q + 2*q, 0 = g + 3*q - 10. Sort h, -0.2, g in descending order.\nAnswer: g, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**3 + 1425*m**2 = 0?\nAnswer: 0, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11011 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -666, -2640, -5928, -10530, -16446, -23676, -32220?\n\"Answer: -657*y**2 - 3*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -0.73, -1.74, -0.3?\nAnswer: -1.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 296 and 217486?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10*y = -5. Let r = 508\/23 - 22. What is the biggest value in -2\/23, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135367\/13 + -10413. What is the closest to 0 in q, -0.2, 0.08, -2\/3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 8*q**2 - 7*q + 19. Let d be i(-9). Let y(t) = t. Let h(f) be the first derivative of -f**2\/2 + 54. Determine d*y(x) + 6*h(x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1035 and 33.\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q - 5*q)*(0*q**2 + 3*q**2 - 2*q**2).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44112 + -4134?\nAnswer: -103301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwiddddididwwdd. Give prob of picking 1 i and 3 d.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -7, -0.110493 in descending order.\nAnswer: -0.110493, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13524092 or -13524093?\nAnswer: -13524092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*x - 69 + 9, 3*z = 2*x + 60. Suppose -4*j = -z - 8. Suppose 222 + 86 = 4*y. What is the greatest common divisor of j and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -1605.\nAnswer: 12840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, r: 5, e: 5}. What is prob of sequence rere?\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 22.01. Let w = h - 0.1. Let a = w - -1.09. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 70637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 23*d + 24)*(-3*d**2 + 3*d**2 + 2*d**3).\nAnswer: -46*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*(-20)\/(-6). Let u be (-2 + 0)*1 + -1. Let r = p + u. Solve 6*m - 5*c = r*m + 16, 2*m - 5*c - 8 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1392087 rounded to the nearest ten thousand?\nAnswer: -1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(-10 + 0 + 46)*(0 - 2 + 1)*(-2*p + 2 - 2)*(0*p + p - 2*p)*(-1 - 1 - 1) to the form i*p**2 + o*p + m and give i.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82200 and 6946722.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m - 784. Suppose x - 4*i - 21 = 4*x, 0 = 2*x - 2*i. Is x\/2*m\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.2 - -5. Let p = -9 + g. Let n = -923.9 + 924. What is the third smallest value in -1\/12, n, -0.1, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.236 and 1.6077?\nAnswer: -1.9871172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -33*k**2 + k. Calculate r(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(136)*1)\/sqrt(8) + -1 + 2))**2.\nAnswer: 32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdcddddqiqqddqv. What is prob of picking 1 d and 2 v?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4525805699.6 - -2144.\nAnswer: 4525807843.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -62.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 10:57 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/6*(-2 + 2). Let t = -13 - -14. Suppose -3*q = -4*j + 4 + t, -3*j + 4 = -2*q. Is i greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {u: 1, p: 18}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 - 16)*(-21*u - 16*u + 17*u)*(3 - 2 - 6).\nAnswer: -1900*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -1\/7, 0.1, 2, 1, 0.3179?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -26. Is t\/10*2385\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-7)))\/(y**(-6\/7)*y))\/(y**(7\/3)*y*y**(1\/8)))**(-4\/11) assuming y is positive.\nAnswer: y**(-571\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12*-1)\/(20\/36)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 3)*1\/3. Let f = 19 + -60. Let t = f - -124\/3. What is the closest to t in -5, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10330*w + 413196. What is k(-40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5947 - 5765. Calculate the highest common factor of c and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(2\/11)*x))\/(x**6*x))**35 assuming x is positive.\nAnswer: x**(-2765\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343906*t - 3476 = -343748*t for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/15)*u)\/u**(-5\/4))\/(u**(-1\/4)*u**(-3\/2)) assuming u is positive.\nAnswer: u**(62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36624879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -d - 49, -5*d = -3*a - 10*d + 54. Suppose -a - 16 = -p. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 535833674?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khev when four letters picked without replacement from kpenhkvp.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6622, -6620, -6618, -6616, -6614?\n\"Answer: 2*j - 6624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 12*o + 3. Suppose 4 = -3*m - 14. What is the tens digit of u(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/9 - 3424*d**4\/9 + 10286*d**3\/9 - 6860*d**2\/9 = 0?\nAnswer: -1715, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -75*i - 27 - 7. Which is the closest to i? (a) 7 (b) -1\/4 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(1*-42)*-4 - (-4104)\/189?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y = 20. Let f = -66 - 34. Let d = f + 97. What is the third biggest value in y, d, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 11:30 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 5:53 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, z: 1, v: 1, x: 4, l: 4}. Give prob of picking 3 x and 1 l.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3, 0.6, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 411198 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -7*b + 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.06 (c) -6 (d) -12 (e) 1.61748\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1230 + 91?\nAnswer: -114a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 21 + 28 + -14.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*c = 235*c - 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 3 = 5*f. Let x(g) = -f - 26*g + 27*g + 0. Let d be x(3). Solve d*c = c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 5*s**3 - 15*s**2 + 3*s**3 - 2 + 3*s**2 to the form r*s**3 + g + f*s + j*s**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5380*l + 853*l + 125*l - 3607 wrt l.\nAnswer: -4402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1142343000 (base 5) to base 11.\nAnswer: 15843a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -5*f - 2*j, -3*j - 5439 = -2*f - 5376. Let c = -810 - -1998. Suppose x + c = 5*x. What is the greatest common divisor of f and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2 + 142*o + 144 = 0. Calculate o.\nAnswer: -1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*z = 3*z + 425, -2*z = -r - 82. Let b be 1 + -4 + r\/(-30). Which is greater: -0.4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422426240.\nAnswer: 2, 5, 19, 34739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((13\/((-91)\/(-14)))\/(6\/(-2))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -179+-112\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -221*o**6\/24 + 13*o**5\/60 - o**4\/24 + 968*o**2. Find the third derivative of q(g) wrt g.\nAnswer: -6630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - -13. Suppose -n + 2*n = -15*n. Suppose 2*r + 3*l - 751 = n, -254 = -2*r - 4*l + 494. Calculate the highest common divisor of r and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 50\/12 + 3\/(-18). Differentiate -3*w**4 - w**4 + 0 - 1 + 3*w**v with respect to w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -5, 753499 in decreasing order.\nAnswer: 753499, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let w be t(0). Let i be 2 - w - (-1 - 15). Suppose 0 = -4*u - 2 + i. Solve 3*l + u = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**4 + 222*p**3 - 63054*p**2 - 449630*p - 645300 = 0?\nAnswer: -239, -5, -2, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 84\/(-27))*(-6)\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*((-28)\/(-40))\/(-7). Let t = -0.07 - -0.17. Which is the second biggest value? (a) t (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 8:32 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1777064012 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 - -85. Put w, -1, -2, -36 in decreasing order.\nAnswer: w, -1, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/(c\/(c\/(c\/((c*c**2)\/c))*c)))\/(c\/(c*((c\/((c*c**(2\/15)*c)\/c))\/c*c)\/c)))**(-1\/8)*(c*c**1*c)**(-34)*c**(-1\/2)*c**0 assuming c is positive.\nAnswer: c**(-6179\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.12 - 28.22. Let o be (-1 - 1)\/((-2)\/(-2)). Which is the closest to o? (a) -3\/2 (b) 1\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.56 - -19.56. Let n = 21 - p. Let y = -0.19 + 0.09. What is the closest to n in y, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*4\/6*15)\/2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 20550 + 17830 = 0. What are the prime factors of x?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -8, 2.\nAnswer: -8, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -65 + 77 + -156 + 66\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10 = 5*x, -2*y - 3*y + 4 = -2*x. Suppose 0 = -121*c + 120*c + 12. Let j = c - x. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + 4 + sqrt(1323)*2*6)**2.\nAnswer: 4032*sqrt(3) + 190576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = d + 541 - 589, -4*d - 3*y = -62. Solve -186\/5*c**3 + 16*c**5 + d*c**2 + 0 + 8\/5*c + 58\/5*c**4 = 0 for c.\nAnswer: -2, -1\/8, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -25 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3241043 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**2. Let d(t) = -374*t + 8. What is d(x(p))?\nAnswer: -1870*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 150 - 155. Let u(t) = 1442010*t + 50. Let a be u(p). Round a to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013162 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -480.00000172 + 480. Round a to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978553 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1000110?\nAnswer: -1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(0*u - u**2 + 0*u - 3 - 2*u**2 + 3 + (2 - 3 - 1)*(4 - 2*u**2 - 4)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 7. Let o(n) = -4*n**2 - 2*n - 9. Let t(h) = h + 1. Let x(k) = q*o(k) + 2*t(k). Differentiate x(s) wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b2ab2 (base 12) in base 11?\nAnswer: 14a173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-556)\/(-216) + (-2)\/4 and (-5 - -3)*(-81)\/(-42)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 243757926 - 243757973.9999986. Let x = z - -48. What is x rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, h: 1, j: 1, o: 2}. What is prob of sequence hjo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*m - 49 = -6*m, -5*g - 5*m + 65 = 0. Suppose -3*h + 4*b + g + 0 = 0, h = 3*b + 4. Calculate the lowest common multiple of h and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8701 times -33069?\nAnswer: 287733369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 4*w + 5. Let g be p(5). Calculate the remainder when 44 is divided by (g - 3) + 0 + 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 2343.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0 + 12. Suppose 2*b - 128 = -2*b. Calculate the remainder when b is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5567 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 90*d - 527. What is g(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383, 309, 233, 155, 75, -7?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjkk when four letters picked without replacement from jjjkjjkkjk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**6\/15 + 6*g**5\/25 + 3*g**4\/10 - 14*g**3\/15 - 6*g**2\/5 - 38. Solve b(x) = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -30*u + 848. Give s(30).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-23 - 25 - -26)) + -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 14*u - 36 = 0. What is the second derivative of 13*n - 81*n**3 + u*n**5 + 81*n**3 wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2230 - -3?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 82 and 10564845072833.\nAnswer: 10564845072915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6742303410.6 take away -21?\nAnswer: -6742303389.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - x**3 + x**3 - 4*x**3 + 4*x**3 + 3*x**3 - x**3 - 4*x**3 + (4*x**3 - 5*x**3 + 3*x**3)*(-2 - 3 + 4) - 3*x**2 + x**3 + 3*x**2 - 2*x**3 - x**3 + x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y + 4 + y**2 - 2 + 0*y. Let g be t(5). Suppose -3*r - 2*w = r - 304, r - 81 = g*w. What is the highest common divisor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 195 - 33. Let g = -69 + q. Let j = g - 93.00059. What is j rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f + 4 - 63*f - 15 + 18*f + 15*f + 13.\nAnswer: -17*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8753827?\nAnswer: 17, 409, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5968384021.\nAnswer: 17, 61, 5755433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-2*-2 + (sqrt(57)\/sqrt(3))**2 + -4.\nAnswer: 15 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127117\/44580 - 98\/743. Let x = 3913\/66 + -544\/11. Calculate the common denominator of x and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*t + 3 = 2*t, -q + 6 = -t. What is the highest common factor of q and 189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 greater than or equal to 1371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59616, 119193, 178770, 238347, 297924?\n\"Answer: 59577*q + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 15 - 18. Let n(a) = -498*a**2 - 959*a**2 + 1 + 127*a**2 - 41*a**2. Let s be n(q). What is s rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*n = -12, -2*x + 24 = x + 3*n. Let p be 2\/x + (-32)\/60. Put 0, p, 6 in descending order.\nAnswer: 6, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiaaiiaaaa. What is prob of picking 1 i and 1 a?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27268 + 2?\nAnswer: 27270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*n**2 - 1 + 940*n**2 + 366*n**2.\nAnswer: 1484*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 8060811?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 4102 = 57*d + 255*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13670*z - 13667*z + 2*a - 15 = -a, 2*z - 48*a = -2*z + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(28) + -2 - (1 + sqrt(7)*-1 + sqrt(175) + 0))*6)**2.\nAnswer: 1152*sqrt(7) + 3312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*j - 8*j + 25*j + 1 - 9*j - 17*j**2 + 61*j**3 + 3*j**2 as b*j**2 + f*j + a + s*j**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(((-54)\/(-6))\/612).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13099 - 4*r**2 - 2*r**2 - 13102 - 11*r + 4*r**2 as w + s*r + l*r**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6515 + 6970. What is the greatest common factor of 20 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-28*z**2 - z**5 + 28*z**2) - z**5 - 2*z**2 + 2*z**2 + (-4*z**2 + 0*z**2 + 3*z**2)*(2*z**2 - 2*z**3 - 2*z**2) + 61*z**5 + 7*z**5 - 33*z**5.\nAnswer: 34*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 85847 divided by -641\nAnswer: -85847\/641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16864.58 - 16725. What is b rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.245 + -0.2. Let y = -0.145 + x. What is the closest to y in -0.4, -3, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 - -338\/3. Let s be (-37)\/(((-88)\/(-2022))\/4). Let g = -3396 - s. Find the common denominator of g and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-96)\/(-36)*(-6)\/(-4). Let n = 1 - 0.7. What is the third smallest value in n, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 2:17 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqzvb. Give prob of sequence qb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (5 + -1)\/1) + 18. Suppose l = -3*l + 48. Suppose -h - m = -l. Let c(q) = q**3 + 3*q**2 - 2*q - 5. What is c(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54641 by 133.\nAnswer: -54641\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 1, m: 5, p: 3}. Give prob of picking 3 p.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.4 (b) 190 (c) -5 (d) 1 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18574 divided by 5\nAnswer: -18574\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 1\/6*f**5 + 1\/24*f**6 + 0*f**4 - 3*f + 0 - 2*f**2 + 0*f**3. Let o(y) be the first derivative of m(y). Factor o(n).\nAnswer: 5*n**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -116996*i**2 + 3626875*i + 33. What is d(31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193 + 10*q + 3*q**2 + 244 - 10*q**2 - 8*q**2 + 14*q**2.\nAnswer: -q**2 + 10*q + 437","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1017807 + -5959597.\nAnswer: -4941790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -17. Which is the third smallest value? (a) -4 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -3*n**4\/2 - 27*n**3 - 72*n**2 + 960*n + 387. Suppose k(d) = 0. What is d?\nAnswer: -8, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 419 + -732. Let x = a - -329.1. Let q = -16.10222 + x. What is q rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) + 26\/(-7). Let i = c + 14. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 15*z - 29. Let q be n(13). Is (584\/(-3))\/(2\/q) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**6\/720 - q**5\/15 - 3*q**4\/8 - 7*q**2. Let y(b) be the second derivative of h(b). Determine y(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 47238010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15121 divided by 4?\nAnswer: -15121\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3884893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-6)*((-40)\/(-7) - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2367058*f**5 - 1086975*f**2?\nAnswer: -142023480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53618, -214433, -482458, -857693, -1340138, -1929793?\nAnswer: -2626658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4*494\/52)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 8*i**2 - 12*i + 7. Let s be d(9). Let x be (-1)\/(-2) + 0 + (-2770)\/s. Sort x, 4, -4.\nAnswer: -4, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11\/95, -4, -3, 0.1, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1276*t + 696698. Give b(-546).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 998.\nAnswer: 9980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - p - 1. Let t(h) = -h**3 - 10*h**2 - 4*h - 7. Let q(i) = -6*o(i) + t(i). Let x = 6 + -11. What is the units digit of q(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c. Let t be x(1). Let l = 10 - t. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4928\/1088799 + -2\/1887. Is u greater than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1008\/(-5580))\/14*((-10)\/1)\/(-2).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f - 0*f. Solve f = -s - 3*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 n when four letters picked without replacement from {n: 4, v: 10}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33993*g**5 - 44410*g**2 wrt g?\nAnswer: -2039580*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(3\/8)*g**(2\/15)\/g)**32 assuming g is positive.\nAnswer: g**(244\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/20 + 340\/(-40) + 8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/q**(-13)))\/(q*q**(-13)\/q*q))\/(q*(q\/q**(3\/10))\/q*q**(-1\/2)\/q))**(6\/19) assuming q is positive.\nAnswer: q**(24\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 559043199 and 3?\nAnswer: 559043199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24993450 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 51*s**2. Let k(r) = 8722*r**2. Calculate 343*c(y) - 2*k(y).\nAnswer: 49*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3886 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.803 + -10.803. Sort 131, n, 0.3, 1\/4 in decreasing order.\nAnswer: 131, 0.3, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 11:10 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9056513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjrjjjjjjjjjjjjjjjr. What is prob of picking 4 j?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23\/8, -4\/3, -5, -22, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/((-31)\/248)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -647, -1279, -1899, -2501, -3079, -3627, -4139?\n\"Answer: a**3 - 639*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = 3*g + 23*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120545531 + 233?\nAnswer: 120550204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 1 + 1)*(0 + 0 + 2*t) + (1 - 1 + t)*(0*t - 3*t + 2*t) - 4*t**2 - t + t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.7 - -52.5. Let y = v + 4.8. Let s = -72.9 + y. What is s rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**3\/3 + 5*r**2 - 18*r - 1197. Determine s(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 + 90. Let g be ((-1)\/5*2)\/(6\/(-30)). Solve -g = -3*t + n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4948*h**3 + 4952*h**3 - 1 + 58*h - 54*h - 15*h**2 as t*h + d*h**2 + g + w*h**3 and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -19. Let j be (24\/20)\/(6\/40). Let g = j - c. Solve -2*n = -2*q + 4, 0 = 3*n - 4*n - 3*q - g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 + -0.2. What is the nearest to 0 in 1\/5, t, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/2187)\/(0 - (-1)\/(-9)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16628 in 5\/3, 8, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**5\/30 + y**4\/12 - 3*y**2\/2 + 2*y. Let c(n) be the first derivative of j(n). What is the second derivative of c(s) wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r. Let k be w(2). Let t(v) = -v**2 - 294*v + 4640. Let o be t(15). Solve k*h = 4*z + 8, -3*z - o*h + 2*h = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1770 divided by -59.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-10))\/((-9)\/30). Suppose -5*a - 9 = 16. Put v, 3, a in decreasing order.\nAnswer: v, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 - 211 - d**3 + 4*d**3 + d**2 - 3601 - 2*d to f*d**3 + y*d**2 + l*d + z and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -8517 - 5627. Let s = 4475 - n. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1119*q - 121189. Give b(-109).\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - m = 3*m + 291, -2*m - 95 = -z. What is the remainder when 302 is divided by z?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83751 is divided by 226?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23022932*a + 37*a**2 + 23022932*a.\nAnswer: 37*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {z: 2, v: 4, s: 1, n: 2, k: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -530 + 27.27.\nAnswer: -502.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 53120*m + 531196. Determine p(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1270867552 - 0?\nAnswer: -1270867552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - 6*(sqrt(567) - sqrt(567)*1)**2) + 2)*5 + 5.\nAnswer: 15 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 102*n - 525. Let x be b(5). Which is smaller: x or 63?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2) + (4 - 4) - -1 - 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4788 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eheeeehuqhheeq. Give prob of sequence hq.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8289 - 8286. Which is the nearest to y? (a) -0.2 (b) -4\/3 (c) -7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e11 (base 15) to base 9.\nAnswer: 24767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29416437 rounded to the nearest one hundred thousand?\nAnswer: -29400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1429.24 and -201885.83.\nAnswer: -200456.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 1\/420*t**7 - 1\/40*t**5 - 19*t**2 + 0 + 1\/12*t**4 - 1\/120*t**6 + 0*t + 1\/3*t**3. Factor l(g).\nAnswer: (g - 2)**2*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + 6a5048?\nAnswer: 6a505a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1758*d + 100196. Determine l(57).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 118, 124, 84, -26, -230?\n\"Answer: -4*v**3 + v**2 + 31*v + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - 7. Let q = m + 40. Solve q = 3*l - 6, 2*l - 2 = 3*d + l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 3*n + 3\/80*n**5 + 0*n**2 + 0 + 1\/24*n**4 + 0*n**3 + 1\/120*n**6. Find m, given that h(m) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-387)\/3*(-4)\/12. Let r = 52 - x. Calculate the highest common factor of 432 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 774 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 5\/2, -0.7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*c - 116 = 0, -2*v - c + 34 = 104. Let s = 53 + v. Let g(a) = -a**3 + 17*a**2 + 8*a - 24. Is 56 a factor of g(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.105 (b) -1\/3 (c) 13 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = o - 5*g, o - 6 = 5*g - 6*g. What is the first derivative of -10*i**o - 25*i**3 + 32 - 9 - 2*i**3 wrt i?\nAnswer: -111*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99.9 times -1.116\nAnswer: -111.4884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299019?\nAnswer: 3, 7, 29, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20525764.9 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*g + 1188 + 114 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*x**3 - 35*x**3 - 128*x**3.\nAnswer: -89*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-34)*2\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7263 + -7246. Suppose 5*x + 2*g = -95 + 435, -g = 0. Calculate the highest common factor of x and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56.4652*-0.5\nAnswer: 28.2326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101211331 (base 4) to base 10.\nAnswer: 1382781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 176159 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 + 10*u**3 - u - 11*u**3 - u.\nAnswer: -u**3 - 2*u - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3070*(-1)\/(-2) + -6 + 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*343\/(-7)*((-32)\/(-56))\/4.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 6\/((-180)\/66). Let h = -0.07 + -0.23. Let i = h + -0.1. Which is the biggest value? (a) x (b) -0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -14*s**2 - 14*s + 5. Let u(o) be the second derivative of 5*o**4\/12 + 5*o**3\/6 - o**2 + 4*o. Give 8*u(h) + 3*v(h).\nAnswer: -2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + 320\/(-50) - (-4)\/10. Let h(c) be the second derivative of -1\/3*c**3 - 1\/2*c**2 + 4*c + s. Give h(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 36*l**2. Let o(c) = -6177*c - 20. Calculate o(h(i)).\nAnswer: -222372*i**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3814791 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4334, 4330, 4326?\nAnswer: 4322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 108*g**3 - 338*g**2 - 228*g.\nAnswer: 2*g*(g - 57)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338853 is divided by 338336?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxv when three letters picked without replacement from vjvkxvx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**4\/12 - f**3 - 3*f**2. Let g be c(-7). Solve t + 2*q = 8, -5*t + 2*q = -0*q + g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7974970*k. Let x(u) = -2*u. Give j(x(z)).\nAnswer: 15949940*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 11:15 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1340 + 1340.5. Let b be 4\/(-10) - (-16)\/(-10). Let i be (-1)\/(-1)*3\/b. Put i, 0.1, l in descending order.\nAnswer: l, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - 11*u - 6. Let d = -5612 - -5616. Calculate t(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2839?\nAnswer: 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 413411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 206389.4 rounded to the nearest 100?\nAnswer: 206400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 213, 243, 273, 303, 333, 363?\n\"Answer: 30*f + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**3\/3 - 9*p**2\/2 + 2*p - 35. Let b be n(9). Let g = 7 - 7. What is the fourth smallest value in g, -0.4, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**36\/(c**8*c**(-4)\/c))\/((c**2*c)**(9\/4))**(-1\/7) assuming c is positive.\nAnswer: c**(-1065\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -w - d, -2*w + 152 = -3*d + d. Suppose -16*r = -207 + 31. What is the highest common divisor of r and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(3 + 0 + sqrt(52) - (sqrt(13) + -3*(sqrt(13) + -1) - (sqrt(104)*-1)\/sqrt(8))))**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 11. Let r = -32 - -23. Let b = r - -9. What is t(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-12))\/((-5)\/(-30))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110120 (base 4) to base 16.\nAnswer: -4518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 54*k + 69*k - 170*k.\nAnswer: -45*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 236. Let b(k) = 3*k + 590. Let j(w) = 2*b(w) - 5*i(w). Suppose -3*y - n - 6 = n, 2*y = -n - 4. What is j(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1030745725 - -1030745323.0000362. Let b = g - -402. What is b rounded to 6 decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138846 and 18688?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -0.3. Let y = v - -1.67. What is y rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -142, -1, 3, -4, 14, 2 in ascending order.\nAnswer: -142, -27, -4, -1, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1084199*g - 7539324 wrt g?\nAnswer: -1084199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 10*w**2 + 1967*w - 9775. Calculate s(5).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1299989172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1456834 * -0.29\nAnswer: 422481.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1710 by 95.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -286404\nAnswer: -1432020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**2 - 5*h**6 + 3*h**2 - 19*h**2 wrt h.\nAnswer: -600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6156*l - 371 - 25511 + 105668 = -197234 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mumumummmmu. Give prob of picking 1 m and 1 u.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2*t**(-3\/8)*(t*t\/(t\/t**(2\/7)))**(-1\/39))**(3\/2) assuming t is positive.\nAnswer: t**(3477\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*b + 60*b - 14*b in the form m + i*b and give i.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/5107692 and -32\/50651279?\nAnswer: 607815348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -2428874?\nAnswer: -11\/2428874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50756 and 8.\nAnswer: 101512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -81824\/81?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 67 - 226 + 51 + 61 - a.\nAnswer: -a + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-2)\/(-4))\/1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 + 12 = 3*b, 2*l + 3*b = 4. Suppose -l = -2*q - 1. Let u(j) = -2*j**2 - q*j**2 - j**2 - 4*j**2. Let z(p) = -p**2. What is u(z(f))?\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 8. Let t be l(7). Let o(p) = -405*p**3 - p**2 - 2*p - 1. Let q be o(t). Suppose 6 = -3*m + q. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1092909 is divided by 2838.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3))**19\/((a**(3\/7)*a)\/((a*a\/(a*a**4*a))\/a)) assuming a is positive.\nAnswer: a**(131\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (9 - (-9 + 9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704 - 336 = -46*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + -1 + sqrt(75) + -5 + sqrt(48).\nAnswer: -6 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 184, -1\/5, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33612639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10165833 (base 9) to base 7.\nAnswer: -56346021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 3173?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 + 43447002*u + u**3 - 43447003*u.\nAnswer: 11*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10514*g**2 + 10514*g**2 - 391*g**4)*(-g + 2 + 0 - 1).\nAnswer: 391*g**5 - 391*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277252590?\nAnswer: 2, 3, 5, 229, 40357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f = 16. Suppose f*m - a + 29 = 0, -2 + 12 = -m + 3*a. Let g = -4 - m. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -346*f + 6268. Calculate the least common multiple of 592 and t(18).\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 949 and 1904127849.\nAnswer: 1904128798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 + 16*w + 9. Suppose 5*x = 5*v - 15, -5*v = -5*x - 2*v - 17. Let r be j(x). Calculate the greatest common divisor of r and 1503.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28236, 113017, 254344, 452217, 706636, 1017601, 1385112?\nAnswer: 1809169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-88)\/55)*(-15)\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 26 - 2. Suppose 0 = 4*h - 2*d - 24, -h + 4*d = -m - 14. Put h, -3, -2 in descending order.\nAnswer: h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 2. Let r = 415 - 413. Suppose 3*w + w - 28 = -3*j, 5*j = 4*w - 60. Let f(m) = -7*m + 10*m + 4*m - w + 3*m. Calculate r*f(d) - 11*p(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 68616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*m = -255*m - 605 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 1506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/56 and -57\/784?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-17))\/(d\/(d\/(d*d**(21\/5)))))**(-35) assuming d is positive.\nAnswer: d**(-448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**8\/84 - 2*x**7\/21 + 9*x**6\/10 + 17*x**5\/15 - 31*x**4\/3 - 32*x**3 - 11*x**2 + 2*x + 6. What is k in l(k) = 0?\nAnswer: -8, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + 2343?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 14. Let c(j) = 2*j - 15. Let v(u) = 2*c(u) - 3*y(u). Suppose 7*n - 4*l = 10*n - 64, -2*n + 48 = 4*l. What is the units digit of v(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 7*j**2 + 5*j + 10. Let c be k(6). Suppose 1608 - 52 = c*f. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*v + 15 = 2*v, 21 = -2*h + 5*v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 17 + 11. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(425)*1 + 1 + 2*sqrt(425) + 1 + -2) + 3 + -5)**2.\nAnswer: -80*sqrt(17) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**3 + 4*n - 4*n)*(485 + 226 + 1482)*(-2*n - 2 + 2) to the form s + p*n**3 + y*n**2 + o*n + x*n**4 and give x.\nAnswer: 13158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7315789790 take away -10170?\nAnswer: 7315799960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.24 - -0.64. What is the closest to 0.1 in -0.3, 1\/4, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -31*t**2 + 1. Let j be k(-1). Let s be (-62)\/(-10) - (-6)\/j. Let w(m) = m**3 - 4*m**2 - 5*m + 5. What is the remainder when w(s) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8300 and 210820.\nAnswer: 1054100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*w = 58, -4*r - w - 28 = -7*r. Suppose 0*p + r*p - 40 = 0. List the prime factors of 88*((-296)\/(-288) + p\/18).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 5*w + 4. Let l = 74 + -167. Let c = l + 96. Determine y(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215530516?\nAnswer: 2, 23, 2342723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 420*k**4 - 14 + 413*k**4 + k + k**2 - 836*k**4 to a*k**4 + m*k**2 + b*k**3 + v*k + g and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -421.5611 * 5.\nAnswer: -2107.8055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -138. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4\/5)*(-15)\/((-1875)\/100)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 3 - 1) + 24. What is the greatest common factor of z and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**6\/6 + c**5\/2 - 185*c**4\/4 - 280*c**3\/3 + 7840*c**2 - 2541*c. Find s such that k(s) = 0.\nAnswer: -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 1) + (-211 - -246)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - 23 + 23 + (-2 + 3 + 2)*(-1 + 1 - s))*(329 + 76*s - 329).\nAnswer: 228*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 311601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a*a**(2\/17))\/a)**(-4\/25) assuming a is positive.\nAnswer: a**(-144\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 18*y - 2*y - 64*y**3 + 11*y + y - 4 - 32*y**2 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2196, 2193, 2190, 2187, 2184, 2181?\nAnswer: 2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1108\/7 + -158. Let y = s - 11\/14. Is 0.1 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (2 - 6) - 4) + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 42. Let p be (-95 + -1)*(-2)\/4. Let c = p + y. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 121, 115, 91, 43, -35?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2972, 11901, 26794, 47663, 74520, 107377?\nAnswer: 146246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-4) + 2119\/3900 and -53\/55?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (14 - (21 + -15))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132251358 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 + z**2. Let j be r(1). Let n = j + -4. Let g(a) = a**2 + a + 1. Let f(y) = -y**3 + 3*y**2 + 3*y + 3. Give n*f(q) + 3*g(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 524, 522, 520, 518, 516?\n\"Answer: -2*k + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 632*r - 2455. What is w(4)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2. Let m(c) = 10*c + 47. Calculate m(o(h)).\nAnswer: -10*h**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*y + 183 - 183)*(2*y - 3*y - 2*y) - y**2 - 5*y + 3*y + y - 2 to the form n*y**2 + r + u*y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-2)\/6) + 92\/(-276). Let i = -0.5 - 0. Sort 0.3, i, g, 8 in ascending order.\nAnswer: i, g, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104 by 35.\nAnswer: 104\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/(sqrt(6)\/sqrt(3)) + -1*sqrt(2880).\nAnswer: -21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -26*y + 136 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a second in milliseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 9:13 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 612 from 0.9458152.\nAnswer: -611.0541848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + q**3)*(-3 - 1 + 1).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-three fifths of a century?\nAnswer: 12720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + 7*y + 1. Let k(x) = -2*x**2 - 6*x. Let u(r) = 5*k(r) + 4*n(r). Let d(v) = v + 1. Calculate -2*d(f) + u(f).\nAnswer: 2*f**2 - 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -7*v**4\/8 - 19*v**2. Let c(g) = 3*g. Calculate -15*c(s) - 2*k(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167183 is divided by 80?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-35) - (-1)\/7. Solve b = -0*g + 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -17*f + 162 + 7*f - 185. Let n be k(-5). Let a(i) = 2*i**2 - 8*i - 61. Is a(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39894 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/6 (b) -2\/5 (c) 19 (d) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*w**3 + 3*w**2 + 29*w**3 + 12*w**3 to k + q*w**3 + x*w + y*w**2 and give q.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**3 + n**2 + 3*n + 2. Let d be l(-1). Let y be -5*d*(-2)\/30. Sort 1, y, 0 in decreasing order.\nAnswer: 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**3 + 15*t**3 - 3*t**3 - t - 1 as o + a*t + s*t**2 + b*t**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 306158339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 94398 divided by -6?\nAnswer: -15733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/13492874 and 113\/108?\nAnswer: 728615196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -844, -847, -850, -853, -856?\nAnswer: -859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10321 (base 4) to base 7\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 9*n. Suppose -j + 359 + 38 = n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/11898863 and 5\/23354?\nAnswer: 23797726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 512\/(-448)*(-54)\/216*(14\/216)\/1?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 598935.\nAnswer: -5390415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12422, 12440, 12468, 12512, 12578, 12672, 12800?\n\"Answer: v**3 - v**2 + 14*v + 12408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33534 (base 8) in base 16?\nAnswer: 375c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35091, -34525, -33963, -33405, -32851, -32301, -31755?\nAnswer: -31213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8687543273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30481225?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(1 + sqrt(1216)))**2 + (3*(sqrt(1216) - (1 + sqrt(1216)))*-4)**2.\nAnswer: -121556 - 1600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 310 = 2*m - 4*m, -m - 5*a = -125. Let i = -143 + m. Determine s, given that 0 - 2\/9*s**3 + 4\/9*s**i - 2\/9*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**4 + 82540*t**2 + 411240*t - 1976256 = 0. Calculate t.\nAnswer: -141, -8, 3, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 775594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3908609 is divided by 390860.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-1) - (-11)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1518 or 1522?\nAnswer: 1522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15660 and 594.\nAnswer: 172260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807706?\nAnswer: 2, 223, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -21*((-60)\/(-18) + -3). Let m = -781\/175 + -67\/25. Which is greater: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 164c7?\nAnswer: 164c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3597 - -36019\/10. Find the common denominator of b and 7\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -617323665 and -617323665 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 19*l**2 - l. Let g(i) = -2*i - 16. Let c be g(-13). Let d(j) = j**2 - 13*j + 54. Calculate the lowest common multiple of p(1) and d(c).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5259078, 10518160, 15777242, 21036324, 26295406, 31554488?\nAnswer: 36813570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79004198633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48605.33km to micrometers.\nAnswer: 48605330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = 87. Let m(r) = 2*r**2 - 14*r + 8. Let o(f) = -27*f + 115. Let y be o(4). What is the remainder when p is divided by m(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 20 = -12*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*i = -4*a, -3*i = -3*a - 36. Let q(z) = 990*z + 5 - 992*z + 1. Let j(x) = 1. Give a*j(f) + q(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*q = -y + 3, -3*y + 2*q = -12. Suppose -4*f = 0, -2*w - f + y*f = -40. What is the third derivative of 15*s**5 - w*s**5 + 6*s**2 - 3*s**2 wrt s?\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(36*s - 210*s + 27*s)*(1 - 2 - 1).\nAnswer: -882*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*l + 116557 = 0, -2*l = 12*w - 13*w + 29133. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.479215 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = c + 4192, 4*c - 2*u = -16464 - 304. Let x = -545 - c. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 2*n + 8*n - 3*n**5)*(10 - 12 + 9)*(-1 - 8 + 4).\nAnswer: 105*n**5 - 105*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*u\/u**(-22)*u))\/u*u)\/u*u**(-24)*u*u)\/(u**(-4)*u)**(-42) assuming u is positive.\nAnswer: u**(-174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - n - 848 = 0, -3*a + 732 = -3*n - 132. Solve -97*b = -41*b + a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 540*i - 36657 + 36657 + 158*i as q + m*i and give m.\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 8. Suppose -13 = 4*p - 109. Suppose -5*t + p = -t. Calculate the highest common factor of s and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.3661 + 534.74.\nAnswer: 509.3739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4 - 22287*i**3 - 9129186*i**2 - 919754304*i - 1803170208 = 0. What is i?\nAnswer: -196, -2, 7823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**(-5)\/(((y*(y*y*((y**1\/y)\/y)\/y)\/y)\/y)\/(y*y**(-11\/3)*y)))**15 assuming y is positive.\nAnswer: y**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6120, 12055, 17990, 23925, 29860?\n\"Answer: 5935*j + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, a: 7, p: 1, r: 2}. Give prob of sequence paa.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12584768 divided by -14\nAnswer: 898912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-25) + 5\/(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1568, 1266, 762, 56, -852?\n\"Answer: -101*a**2 + a + 1668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)\/(z\/(z*(z*z**(2\/3))\/z*z))*(z\/(z**5*z*z))\/z*z**0)**(-2\/75) assuming z is positive.\nAnswer: z**(62\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 247*-11381\nAnswer: -2811107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94.9 - -95. Which is the nearest to o? (a) -3\/8 (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 4*s - 1, 5*s + 8 + 12 = 0. Suppose 2*o + 9 = i*w, 3*w = 2*w + 5*o + 3. Suppose 10\/9*f**2 - 4\/9*f + 0 - 4\/9*f**w = 0. What is f?\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15850 - 0.1.\nAnswer: 15849.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -25. Solve -2*y**3 - r*y**2 + 8 - 8 + 2*y**4 = 0 for y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**3\/3 - 16*x**2 - 88*x + 2946. What is q(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-5)\/(-2) - 1). Let a(c) = c**3 + 2*c**2. Let w(m) = -m + 1. Let r(d) = -a(d) + 2*w(d). Calculate the smallest common multiple of r(v) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*s - 210 = 0, 5*s + 189 = 4*r - 153. Calculate the remainder when 556 is divided by r.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 88128?\nAnswer: 1057536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0876 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 4416?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4387695 is divided by 145?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26869*-5.\nAnswer: -134345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9213.\nAnswer: 3, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006014 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*l + 0*l = -305991, 0 = 5*b + 3*l + 509991. What is b rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myyy when four letters picked without replacement from mmyxxyxmyymybxmmx?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 7*v + 4. Let m be o(-6). Suppose 95*b = -68*b + 5868. Is (4164\/b)\/((-82)\/42 - m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*z**3 - 3*z - 3*z + 9*z - 15*z**3 as f*z**2 + c + l*z**3 + h*z and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 6:51 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*j + 71*j + 175 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -10 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -29. Let u = q + -17. Let j be 12 - 1 - (-2 - u). What is the highest common factor of j and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -29*j**2 - 64*j + 4. Let q(y) = 60*y**2 + 128*y - 10. Let g(f) = 5*n(f) + 2*q(f). Find the second derivative of g(l) wrt l.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(-2 - 1 + 5)*(-28 + 28 + 8*b)*(-2*b + 0*b - 2*b) in the form t + o*b**2 + v*b and give o.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -232*j + 230*j - 52. Let v be -4 - j*3\/21. Which is the nearest to v? (a) 0.1 (b) -6\/5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159357121*h**5 - 2421*h**2 - 9989.\nAnswer: -9561427260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*q**2*w**2 - 584*q**2 - q*w**2 + 7*w with respect to w.\nAnswer: -12*q**2*w - 2*q*w + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846145?\nAnswer: 5, 31, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2210 divided by -2210.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 48. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i**5 - 15237*i**4 + 2383353*i**3 + 1203108*i**2 - 1195488*i = 0 for i.\nAnswer: -1, 0, 1\/2, 168, 2372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 9*x - 14*x + 47 = 0, 2*p - 2*x + 14 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 - 69. Suppose 0 = p - 2*s - 2*s - j, 5*s = 5*p - 170. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33916, 135977, 306076, 544213, 850388, 1224601?\nAnswer: 1666852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/3 + 2276*f**3\/3 - 24808*f**2\/3 + 15484*f\/3 + 110446 = 0 for f.\nAnswer: -3, 7, 1127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 321575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1056*l**3 - 789*l**2 - 10*l - 5. Let c(u) = 1057*u**3 - 790*u**2 - 8*u - 4. Let s(z) = 5*c(z) - 4*p(z). Find the third derivative of s(r) wrt r.\nAnswer: 6366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1817*i**3 + 3*i**2 + 45382*i wrt i?\nAnswer: 10902*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2. Let h(q) = 4*q + 3*q - 2*q. Let v(r) = -11*r. Let l(n) = -7*h(n) - 3*v(n). What is b(l(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 244431719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 21*h = -7*d + 128, -2*d = -1522*h + 1523*h - 44 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, j: 2, c: 2, k: 2}. What is prob of picking 3 x and 1 k?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 874*t - 7812. Give j(9).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2129 = -199*b - 135*b + 2213 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.59706298+0\nAnswer: -1.59706298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 188393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515*s - 519*s + 1468 = 0. List the prime factors of s.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -904 - -1488. Let r = 584.1 - h. Put r, -8, -14 in descending order.\nAnswer: r, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*l = -4*q - 4, -5*q - 2*l - 33 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819647 is divided by 26440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5 - 14942*i**4 - 37289988*i**3 - 31284271340*i**2 - 492498894650*i - 1196943861750 = 0.\nAnswer: -2485, -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from vdhqvrf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 1. Let n(i) = -i**2 - 12*i + 9. Suppose 0 = -g + 3*g + 24. Let b be n(g). Let j = b + -8. Let x(k) = -k**3 - 2*k**2 - k + 1. Give j*c(r) - x(r).\nAnswer: r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3295 + 301183*y - 150587*y - 150594*y.\nAnswer: 2*y - 3295","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1473059 or 0.6?\nAnswer: -1473059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -1016830 (c) -4 (d) -0.5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 5:56 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2607.\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*b**4 + 3*b**2 + 6*b + 4 wrt b?\nAnswer: 156*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, w: 7}. Give prob of picking 1 w and 2 j.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**3\/3 + 3*n**2\/2 - 4*n - 525. Let c(y) = y**2 - 4*y + 3. What is 4*c(t) + 3*d(t)?\nAnswer: t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 + 5*a + 20*a + 17 - 3*a**2 + 20 + 5*a**3.\nAnswer: 5*a**3 - 3*a**2 + 25*a + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 0 - 4. Let u = 2 + d. Which is the third biggest value? (a) u (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 49. Let m = -20 + 34. Let z = 19 + m. What is the smallest common multiple of z and f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*f**2*h + 20*h + 3 wrt f.\nAnswer: -126*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 4 - (83 - 104).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65236110?\nAnswer: 2, 3, 5, 53, 89, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*m = -33, 2*m = -4*g - 2*m + 24. Suppose j + 8 = 2*s, 4*j + 2 + 4 = -5*s. Let v = j + g. Solve 0 = 7*c - v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 45 = 0, -5*k + 154 = -3*k - 2*t. What is the least common multiple of k and 996?\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3626337 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*sqrt(66)*3*3)\/((sqrt(150) + sqrt(6))*4 + sqrt(6)*-1*4).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 1\/12*d**4 - 3 + 0*d - 1\/30*d**5 + 0*d**3 - 1\/2*d**2. Let w(a) be the second derivative of k(a). Let w(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*q + 17. Suppose q*r - 65 = -r. Calculate the remainder when 50 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 120, 212, 266, 264, 188?\n\"Answer: -3*d**3 - d**2 + 116*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 2:55 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.343 - 0.172. What is f rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-42)\/(-7) - 9) + 9. Solve -5*g = -g - 12, 4*g = 2*b + m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (-96)\/15)\/(81\/270). Solve 5*x - d - 9 = 3*y, -3*y = 3*x - 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -1414 + 335. Calculate the remainder when 219 is divided by r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 28, 36?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3633 - 3633. Solve 6*v = q + 2*v - 4, -5*q - 3*v + 20 = a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.20423*-146\nAnswer: -759.81758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-2)*2\/(-49)*-42?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85175 is divided by 2129?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3*6\/36)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**12\/n**(-1\/3))\/(n*n**9*n)**(-41))**(-41) assuming n is positive.\nAnswer: n**(-56990\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -291563\/18 + 16193. Find the common denominator of -95\/4 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*q - 5 = 0, 2*b + 0 + 3 = -3*q. Suppose b = -0*n + n + 2*v - 54, -4*n - 5*v = -225. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -39*x. Suppose 5*s - 3 = 17. Let r(a) = -10*a. Let q(i) = s*z(i) - 15*r(i). Let v(h) = 2 - 2 + 2*h**2. What is q(v(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4242252.069 rounded to the nearest 10000?\nAnswer: 4240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0*m**3 + 5*m**2 + 0*m**4 + 0*m - 1\/60*m**5 + 0. Let s(v) = 2*v. Determine s(h(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 66067.4 millimeters in centimeters?\nAnswer: 6606.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 2, j: 1, z: 5, d: 1}. What is prob of picking 1 o and 1 j?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2)*(2*d + 2*d - 3*d)*(-23*d + 533 - 533) in the form n*d + u*d**2 + b and give u.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 - 114?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 12. Find the common denominator of (-41 + 2 + -4)\/j and 23\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*b + w - 7, 3*b = 5*w - 4. Suppose -2*z = b*s + s - 9732, 5*z - 24313 = s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 - 0.36. Let b = 1009\/56 - 127\/7. Sort b, v, -3\/7, -2 in increasing order.\nAnswer: -2, -3\/7, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*v = 6228 - 1456, -1181 = -l + 2*v. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 21*y**2 - 22*y + 42. Let a be p(20). Suppose -a*k + 7631 = 3*j + 406, -20 = 5*k. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/20*(-4)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.592 to 2 decimal places.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101243\/12 + 8429. Let m = -467\/14 + 5183\/126. Find the common denominator of d and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 + (-3441)\/(-124))*((-2)\/(-5))\/(27\/(-90)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 205 + -201. Suppose -3*v + 16 = -v. Suppose 64 + v = n*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558 = -369*t - 557 + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10281, -4, 4030.\nAnswer: -10281, -4, 4030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26035 and 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + w + 3*w = 200, 0 = 5*y + w - 246. Suppose -g = -s + y, 15 = -0*g - 3*g. What is the highest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000928973 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*z = -67 + 27, 3828*h - 3825*h - z + 8*z - 28 = 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/3753 and -53\/18?\nAnswer: 7506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*v - 9. Let x(f) = 8*f + 8 + 0*f**3 + 8*f**3 + 9*f**3 + 20*f**2 - 18*f**3. Is x(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4 = 2*l, 2*a + 8 = -118*l + 116*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1 (c) -0.3 (d) 122\/7 (e) -3 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28296027959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 5*s + 2. Let k be b(4). Let r = 14 - k. Calculate the lowest common multiple of 22\/(-8)*(-29 - -21) and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -368 + 353.7. Let y = o - -14.300254. Round y to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**4 + 3*f**2. Let z be (-2)\/3*(-6)\/2. Let p(t) = -t**2. Let v(y) = z*p(y) + h(y). What is the third derivative of v(i) wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 53. What is the remainder when (69\/(-6))\/((-1)\/4) is divided by g\/(-2)*(-36)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001169049469 rounded to 7 decimal places?\nAnswer: 0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2669 and 607747.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12237 or 77\/16?\nAnswer: 12237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157.74 + 152.9196. Round t to 1 decimal place.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrqwqqkiqqiqrrrnik. What is prob of picking 1 q, 2 i, and 1 w?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603668 (base 9) to base 3.\nAnswer: 200010202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*l**5\/5 + 1872*l**4\/5 + 5931*l**3\/5 + 6771*l**2\/5 + 2952*l\/5 + 432\/5 = 0.\nAnswer: -4, -1, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-12))\/(((-4)\/(-10))\/(-2)). Sort -2\/13, 1, v, 0.03 in decreasing order.\nAnswer: 1, 0.03, -2\/13, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4018 and -4.\nAnswer: -16072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -7, -6, -0.01, -0.6, 0.1 in descending order.\nAnswer: 0.1, -0.01, -2\/7, -0.6, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/32 + 55\/96. Let -1\/3*y**4 + b*y**3 + 1\/3*y**2 - 2\/3*y + 0 = 0. Calculate y.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(19))*4.\nAnswer: 8 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**3 - 66*f - 97\/2*f**2 + 99. Solve x(l) = 0.\nAnswer: -2\/3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40000)\/(4*3\/750). What is v rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -9 + ((-45)\/(-15))\/((-6)\/(-206)) is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47*l + 27\/4 + 317\/4*l**2 + 3*l**3.\nAnswer: (l + 27)*(3*l - 1)*(4*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76.15 - 6.05. Let s = 63 + y. Let a = -19.2000163 - s. What is a rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - 0.18. Let x = k - 0. Which is greater: 2\/3 or x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f - 1?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(11) + sqrt(44)) + sqrt(24))\/sqrt(12) - (5 + -5 + sqrt(2))*-2.\nAnswer: 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17851.59 and -1.\nAnswer: 17851.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/25568 and -7\/3264.\nAnswer: 153408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*t + 2988 = -69*t + 216*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 31\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -15*c**2 + 60*c - 90. Let o(u) = -8*u**2 + 30*u - 45. Let x(j) = -3*a(j) + 5*o(j). Factor x(z).\nAnswer: 5*(z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2110 - 2109.6. Sort -0.4, 38, k in descending order.\nAnswer: 38, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9484 + -6337. List the prime factors of p.\nAnswer: 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 22*p - 1474 = -73*p. Suppose -2*m + 6 = m. Suppose -z = -3*j - 13, 5*j - 5 = -m*z - 3*z. Calculate the lowest common multiple of z and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0*c - 2*c + 7*c - 30 + 8*c**3 - 3*c**2 - 9*c**3 + 26. Determine l(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5115755606 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 40 = 3*q. Let b = 0.077 + -3.077. Is b at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5473*o**5 - 16714*o**3 + 9*o**2 - 11851080 wrt o.\nAnswer: 328380*o**2 - 100284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 768948941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2046 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.42 - -3.32. Let m = 1.5 - 0.5. Which is the biggest value? (a) m (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 9*o - 37. Let n be z(-14). Suppose 4*a - n = 3. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 8*w + 9. What is the least common multiple of h(8) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 72. Solve l = b + 5 - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14175 * -2722.\nAnswer: 38584350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -224*j - 1345. Let p be d(-6). Is 28\/85 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -115*w**2 + 6*w - 6. Let h(p) = -11616*p**2 + 605*p - 605. Determine 6*h(m) - 605*l(m).\nAnswer: -121*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-2\/7)*x*x)**(1\/10))**27 assuming x is positive.\nAnswer: x**(351\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**4\/6 - m**3 - m**2\/2 + 230*m. Determine y(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -11 + 1 - (1031 + -1032) - 19\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 732 = 428. Put 3, 2, m, 5 in increasing order.\nAnswer: 2, 3, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)\/(a*a\/(a\/a**0*a)*a*a))**(-2\/3) assuming a is positive.\nAnswer: a**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddyddxxdx. What is prob of sequence xyxx?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -12739752440?\nAnswer: -12739752439.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**4\/12 + 4*q**3\/3 - 202*q**2. What is z(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 7*v - 9. Suppose 3*u = u - 16. Let q be h(u). Let g = -1 - q. Calculate the remainder when g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3)*t*t\/(t\/(t*(t*t**(-12)*t)\/t))*t)**42 assuming t is positive.\nAnswer: t**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at most as big as -15381\/472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l\/((l\/(l*l**(3\/7)))\/l))))\/(l\/(l*l\/(l**(-4)\/l))))**(9\/5)*(l**(-1\/8)\/l**(-5))\/(l**4*l**(-2\/13)) assuming l is positive.\nAnswer: l**(65521\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 22 (c) -5\/41 (d) 4 (e) -1\/3 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/22 and 55\/1634?\nAnswer: 17974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**2 + 32*x - 5. Let z be s(8). What is the second biggest value in 3, -0.2, z, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-840)\/(-32) - (25 + 412\/(-16))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8156210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/263?\nAnswer: 9\/263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*f**2 + 75*f**2 - 4*f**3 - 115*f**2.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-3)\/(-3) + 5. Suppose -t*y - 45 - 49 = 0. Calculate the common denominator of -2 + (3 + y - 3) and 61\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3161 or -3172?\nAnswer: -3172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(2\/10 - (-273)\/(-390)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + -1 + (1 + 1 - 0) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 2\/307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -110001034?\nAnswer: 110001032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175336 divided by 24.\nAnswer: 21917\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*x + 406, 5*p + 5*x - 169 = 461. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -34.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -235179823\/5591 - -42064. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t - 47*t - 47*t + 126*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from {i: 1, x: 4, c: 9}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 47*w**2. Let n(f) = 27*f**2 + 28. Calculate n(r(s)).\nAnswer: 59643*s**4 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*t = 872236 - 293036. Is 40 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 403 - 169. Let l be 1 + (-15)\/d*227. Let v = 343\/13 + l. What is the common denominator of v and -28\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-37 - (11 + 1 + -17 + 3)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33007\/42 + 783. What is the common denominator of g and 53\/27?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, -0.3, 54 in ascending order.\nAnswer: -0.3, 54, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1455 - -1454.9. What is the nearest to o in -2\/7, -15, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17\/384 + 13403\/16512. Is 1 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(114) + (sqrt(114) - 2*sqrt(114))))\/sqrt(6) - ((sqrt(475) - (-2*sqrt(475) + -1))**2 - sqrt(475) - sqrt(475)).\nAnswer: -4276 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -7*b - 2 - 12. Solve 2*g - 2*o + 4 = 0, -20*g + 21*g - 2 = b*o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4641681mm to centimeters.\nAnswer: 0.04641681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((14 - 15) + -23) - (-17 + 6).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3769, -34\/5, 4?\nAnswer: -3769","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2800080 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1)\/(-1) + 23. Let v(x) = 20*x**2 + 23*x - 1. Let n be v(-2). Calculate the greatest common factor of m and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28.46561 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5568 and 5952.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*y - 2. Let o = -131 - -919\/7. Is y <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(14)\/sqrt(7))*-5.\nAnswer: -10 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*-1 - 0) + 0. Let j(q) = 3*q + 66. Let t be j(-21). Put -4, t, a in increasing order.\nAnswer: -4, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 + 159772*h\/5 - 3190886498\/5.\nAnswer: -2*(h - 39943)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**2 + 42*h - 59. Let n be v(3). Let m(f) be the second derivative of 0*f**2 + 1\/75*f**6 + 0 + 1\/5*f**3 - 1\/6*f**n + 9*f + 1\/50*f**5. Factor m(t).\nAnswer: 2*t*(t - 1)**2*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.075 and -42.7.\nAnswer: -45.9025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 765727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 0) + (7 - (2 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(1 + -19 + 20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.990685 + -1.99. Round l to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3\/2 + 3*a**2 = 0. What is a?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*a + 4, -5*a + a = -2*j. Suppose -j - 4 = -4*f. Solve -19 = -4*d + f*w - w, 5*w = -5*d + 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93*o**2*q + 326*o**2 + 57097*o*q wrt o?\nAnswer: -186*q + 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-41))\/(-3*(-16)\/(-12))?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*b - 1470 + b**2 + 105*b - 38*b in the form o*b**2 + j*b + y and give y.\nAnswer: -1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73 times -0.04?\nAnswer: 0.0292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 16, 96, 250, 502, 876, 1396?\nAnswer: 2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32649, -65285, -97917, -130545, -163169?\nAnswer: -195789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4139 + -16459\/4. Factor 4*j**5 + 9\/4*j + 33\/2*j**2 + 0 + i*j**3 - 22*j**4.\nAnswer: j*(j - 3)**2*(4*j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.9 and -36.91.\nAnswer: -143.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/5 + 631*o**4\/5 + 29222*o**3 + 14669234*o**2\/5 + 534758273*o\/5 - 549574249\/5 = 0. What is o?\nAnswer: -197, -119, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l**2. Let p(s) = -s**3 + 49*s**2 + 2. Calculate -8*i(g) + p(g).\nAnswer: -9*g**3 + 41*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*j*s**3 - 3140*j + 2*s**3 - 24*s**2 + 18 wrt j.\nAnswer: 28*s**3 - 3140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2203\/5, -5, -41\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and 5.2.\nAnswer: -145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 381*g**2 - 6430*g + 50. Give l(17).\nAnswer: 849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6848*b + 116429. Determine s(17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2780444 divided by -1\nAnswer: 2780444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*m**4 - 191571*m**3 - 385182*m - 1?\nAnswer: -192*m**2 - 1149426*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67776622486 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 259 - 256. Solve -7*g + 27 = 3*l - 2*g, w*l = 4*g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4223*q + 423542 = 323*q + 96230 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from mzccmbcczczczzcczzcc?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1892 is divided by 53?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 359769049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.757175807 to 2 decimal places.\nAnswer: -16.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((11 - 10)*1\/1). Suppose -t = -i, k = -3*k - 3*i + 63. Calculate the greatest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, 0.5, -818.8 in descending order.\nAnswer: 153, 0.5, -818.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -91, -179, -267?\n\"Answer: -88*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 179841710 rounded to the nearest 100000?\nAnswer: 179800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (2 + -8 + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22 - -2)*((-33)\/(-12) - 3). What is the lowest common multiple of 11 and -10 + 2 + 9 + i + 0?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 3 - (2 + 4 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2. Let d(j) = 1175*j**2. Let u(a) = -392*a**2. Let k(s) = 6*d(s) + 17*u(s). Calculate k(m(r)).\nAnswer: 386*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 70.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118074 = 1775*z - 4362 - 10762 for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490 and 10395?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20022213111 (base 4) to base 2\nAnswer: -1000001010100111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 10*o**2 - 76*o - 9. Let d be u(-14). Let y = 289 - d. Calculate the remainder when 51 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srsrsssrrdds. Give prob of picking 2 s and 1 d.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 20507000 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 - 87 = -24*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 19*j**5\/4 - 86*j**2 - 111*j + 2. Differentiate x(w) wrt w.\nAnswer: 285*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 12, -4*p = -4*a - 9 + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4612 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -343 (b) -54 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 - 107. Let t be (40\/32 - 4)\/(s\/24). Solve 2*h = 4*c - t + 3, -5*c = -5*h - 50 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5312 and 664.\nAnswer: 5312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -205*y + 835. Let c be i(4). Solve 5*k + 6*m - c = 4*m, m - 10 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7733531*g*w - 9*g - 838838 wrt w?\nAnswer: 7733531*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**4\/3 + 1979*o**2. Let c(d) = 8*d**2 + 8. What is c(g(b))?\nAnswer: 512*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/((-1 - 1) + 0). Let w(a) = 31*a**2 + 3 + a - 3*a - 61*a**2 + 31*a**2. Give w(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002201 (base 3) to base 11.\nAnswer: -66a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1020*d - 120 - 112 + 230 + (0*d + d - 2*d)*(6 - 10 - 10) in the form v + c*d and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 2:59 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-6*-4*(-1*sqrt(2448) + 3 + sqrt(2448)))**2)*-4 + -2.\nAnswer: -20734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:27 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -6971 (b) 9 (c) -5 (d) -3 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 40*x**2 + 3. Calculate the smallest common multiple of (-7)\/4*2*-2 and c(40).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.397, -4, -3\/2 in increasing order.\nAnswer: -4, -3\/2, -0.397, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1186*m - 214*m**2 + 1186*m + 176*m**2.\nAnswer: -38*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(1 - 6 + 4)*(q + 0*q - 9*q) in the form o + r*q and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 5*p**2\/2 - p + 3. Is q(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 8. Find the second derivative of -3*h + 2*h + 3*h**g + 3*h wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25.7 and 8492?\nAnswer: -218244.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 18*o + 2. Let n be h(-11). Let r be ((-9)\/12)\/(1\/n). Suppose 5*p = 2*i + r, 5*p - 4 = -i + 140. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-1\/2)\/d))\/d)\/d)**(1\/9)*(d**(-1))**(-4\/15) assuming d is positive.\nAnswer: d**(29\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2\/5 - 111*s\/5 + 1242\/5 = 0. What is s?\nAnswer: -46, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 225 and 74750.\nAnswer: 672750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*c + 42. What is the highest common divisor of c and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, h: 6, j: 7, l: 1}. What is prob of sequence hxhx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/16 and 101\/446?\nAnswer: 3568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**2 + 679 + 10*k - 680 - 8*k in the form o + l*k + a*k**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.68? (a) 18\/1127 (b) -1\/4 (c) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.759669422 to 2 dps.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598671 is divided by 42755.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + g + 6. Does 25 divide n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 616521340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -684676 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -521981 and 0.4.\nAnswer: -208792.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47628198.\nAnswer: 2, 3, 2646011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -16\/3, -8805?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n**(-4\/17)*n)\/n)))\/n**(27\/7))\/((n**(1\/4)\/n)\/n**(4\/3)) assuming n is positive.\nAnswer: n**(-2869\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4759149757 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*z**4 + 4045*z**2 - 2*z + 90683 wrt z.\nAnswer: 8*z**3 + 8090*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-18)\/((-864)\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -2 (c) 2\/11 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 n when three letters picked without replacement from unnyynhnynnynhyyy.\nAnswer: 147\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 25*g - 74*g + 11*g - 2 in the form n*g + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**2 - 13*n + 1. Determine w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 612 = f. Let w = f + -143. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*w**5 - 4*w**4 - 1426*w**3 - 2*w**2 - 93237344*w wrt w.\nAnswer: 7080*w**2 - 96*w - 8556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30944701, 61889393, 92834085, 123778777, 154723469, 185668161?\nAnswer: 216612853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 868*g - 1736*g + 866*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13721 - -14147. Calculate the remainder when f is divided by 101.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 3*u + 1. Let a(z) = 5*z**2 + 8*z - 3. Let c(f) = -3*a(f) - 8*h(f). Let o(j) = 6*j**2 - j + 4. Let m(b) = 5*c(b) - o(b). Calculate m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 805837 and 327.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.0615.\nAnswer: -0.00615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1721 + 1877. Solve 27*c - n = -48 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48073 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 861 and 756?\nAnswer: 30996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**4\/6 + q**3\/6 - 20*q**2. Let l(t) = 9*t - 2. Calculate -13*f(k) - 6*l(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -143*t**2 - 838*t + 26. What is h(-6)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264 + 4486\/17. What is the third biggest value in 1, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - s + 1 - 9*s. List the prime factors of p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 195\/(-55) - (-3513)\/33. Solve -t*w + 109*w - 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in -4, 0.5, -2736.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 9, -8, -33, -66, -107?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.3 (b) 3 (c) 370 (d) -2 (e) -3\/5 (f) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1017 + -1017. What is the smallest value in u, 3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13\/27 + 4\/27. Let t = 421 - 424. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25527216, -25527215, -25527212, -25527207, -25527200?\n\"Answer: z**2 - 2*z - 25527215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 7*z**2 - 5*z + 9. Let j be f(-6). Suppose j*i - 259 + 83 = 2*h, -5*h + 227 = 4*i. Which is greater: i or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -105*u + 625. Let r(c) = 8*c - 48. Let t(k) = -3*o(k) - 40*r(k). Let j(l) be the first derivative of t(l). Let m(p) = p + 1. Give -j(s) - 5*m(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - -3211013?\nAnswer: 3211047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/(-7) + -4)\/(-3 + 286\/91). Sort -9, p, 21, 9 in descending order.\nAnswer: 21, 9, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*84.\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.732\nAnswer: -3.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.006896 and 169241.\nAnswer: 169242.006896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 350 - 348. Differentiate 7*m**2 - 2*m**4 + 12*m**t - 190 + 18*m**4 - 19*m**2 with respect to m.\nAnswer: 64*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 s when four letters picked without replacement from {a: 2, s: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 29842.84.\nAnswer: 29843.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 25*y**2 - 55*y + 31. Let t be f(27). Factor 7\/4*c**t + 1\/2 + 27\/4*c**2 - 23\/4*c**3 - 13\/4*c.\nAnswer: (c - 1)**3*(7*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-3))\/((-16)\/(-60)). Solve -i + 2*a = -7, 14 = 4*i + a - z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279805*x = -279935*x + 5460 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3421 + -3379. What is the remainder when 81 is divided by k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r - 17*r = -34*r - 20 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttctcccttctt. Give prob of sequence ctc.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*217.65\nAnswer: 304.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -295, -257, -223, -193, -167?\n\"Answer: -2*f**2 + 44*f - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 123 + 4?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 + 12.12. Let t = -0.098 + -11.902. Let z = v + t. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 1512 = -17*u. Let w = 34070\/3 - 11576. Let x = w + u. What is the common denominator of 56\/3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a + 5. Let g(f) = -f + 6. Let p(v) = 2. Suppose 10 = 2*x - 4*x. Let i(c) = x*p(c) + 2*g(c). Determine -8*i(m) + 3*j(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(1\/(3\/9)). What is the units digit of (-3 - -6 - -1)*c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.5, 9, 6.1, 2\/7, 2\/9 in increasing order.\nAnswer: -0.1, 2\/9, 2\/7, 0.5, 6.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -210?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 6:45 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 19 = -2*k - 22, 0 = -3*o + 5*k + 53. Calculate the least common multiple of o and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*w = 6*w - 4, 0 = -3*z - 2*w - 1. Solve -5*g + z*y - 25 + 8 = 0, 2*g + 4 = 4*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204129 - 204129 + x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15208 - 15203. Let c be (-3)\/2*(-4)\/3. Suppose -4*q + c = -6. Solve 20 = q*f + 3*f - m*j, 4*f + 2*j = -14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*p - 88*p = -43*p + 9 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 0*m + 1\/24*m**4 + 1\/3*m**3 + 2*m**2 + 0 - 1\/60*m**5. Factor a(i).\nAnswer: -(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 70 = 4*x + 46, 9*k = 13*k - 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 0.6. Let r = 1.9 - j. What is the third biggest value in r, 1\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48\/22 + 30\/(-165) + -1 - -1677?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**2*m**3*r + 28907*i**2*m**3 + 42*i**2*m**2*r + 8*i**2*r + 21*i*m**2 wrt m?\nAnswer: -6*i**2*r + 173442*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0.02299, -0.8, -0.5?\nAnswer: 0.02299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 89*g**3 + 93*g**3 - 11 - 328*g**2 + 17 - 5 to h + b*g**2 + u*g + x*g**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-49)\/(-21) - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-210)*(-42)\/(10752\/(-320))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 323 and 22276987?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 + (-46988)\/(-8). Find the third derivative of -19*i**4 + 5873 - i**5 - 97*i**2 - d wrt i.\nAnswer: -60*i**2 - 456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420759122?\nAnswer: 2, 7, 277, 108499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27889279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-134)\/1608*68*3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*x - 10, 0 = -2*x - s - 12 + 22. Suppose 5*k + 1910 = 4*d - 620, -1897 = -x*d + 4*k. What is d rounded to the nearest 10?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15209 and 15677531.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 364013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156\/229, 3, -11, -736 in decreasing order.\nAnswer: 3, 156\/229, -11, -736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*p**3 - p**2 + p**2 + p**2 + 17*p**3 + 10*p + 20*p**3 in the form m*p**2 + f + j*p + b*p**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z**2 - 340*z - 10. Let d(x) = -11*x**2 - 512*x - 16. Let c(n) = 5*d(n) - 8*p(n). Let h(k) = 2*k. Calculate h(c(i)).\nAnswer: 2*i**2 + 320*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 124*a + 233. What is the thousands digit of o(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182669\/4178310 + -110\/9717. Find the common denominator of -73\/30 and i.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41132 and 222404?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41\/4, 0.4, 2\/7, 2, -1\/5 in decreasing order.\nAnswer: 2, 0.4, 2\/7, -1\/5, -41\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**5 - 200*h**4 + 1372*h**3 - 1176*h**2 = 0.\nAnswer: 0, 1, 7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.11, -3\/4, -0.2, -2.\nAnswer: -2, -3\/4, -0.2, -0.11, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 363203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700708044.\nAnswer: 2, 3, 58392337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 5:15 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*s**2 + s**5 + 2*s**5 - s**5 - 21*s**3 + s**5 - 33*s**3 - 45*s = 0 for s.\nAnswer: -5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23173 - -2572246\/111. Let a = w + -2\/37. Let f = 14 + -6. Which is greater: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4297 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/3, 18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 254 + -172. What is the common denominator of (-10)\/(-15) - w\/(-36) and 2\/(-4*(-22)\/170)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6000 and 412000?\nAnswer: 1236000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {i: 6, y: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12581734.\nAnswer: 2, 11, 17, 33641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w + 23*w**3 + 33*w**3 - 48*w**3 + 10*w**2 as m*w**3 + t + b*w + z*w**2 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20204, -20205, -20206, -20207?\nAnswer: -20208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5 + -0.5. Let i = 8 - 12. Let p = i + w. What is the closest to 1\/3 in -3, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18531 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -52 and 4801.60703?\nAnswer: 4853.60703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 26*q**2 + 7*q - 64. Determine r(13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2.2. Let i(o) = -o**2 - 24*o + 54. Let s be i(-27). Let v be (-6 - 0) + (-19 - s). Put t, v, 3, -4 in descending order.\nAnswer: 3, v, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**3\/3 - i**2\/2 - 4*i + 11. Calculate d(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -10. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 95. Suppose 0 = 3*v - 45. What is the greatest common factor of w and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m. Let j(a) = 3*a - 3*a - a. Let b(t) = i(t) + 3*j(t). Let y(w) = w. Determine b(y(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + 1 + 1 + -1 + 1 + sqrt(200) + 1 + sqrt(200) + sqrt(200) + (sqrt(200)*2 + sqrt(200))*2))**2.\nAnswer: -720*sqrt(2) + 64804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 - 49. Calculate the remainder when 62 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = m - 6*m - 1, 4*t - 11 = m. Let d be (0 - -1)*-3 + m. Let s = -2 - d. Solve s = -0*p - 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -2)*(-6)\/(-42). Let y = -5 + 1. What is the nearest to n in y, 0.2, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 4368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(133) + sqrt(133))*4)\/(-4*sqrt(28) + (sqrt(7) - (sqrt(35)\/sqrt(5) + sqrt(7))*-2)) + 1 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 35. Suppose 2*v = -5*o - 10, -5*o = -0*v - 4*v - f. Suppose -3*g = -o*w + w - 14, 4*g - 22 = -3*w. Is 1 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 8*c - 2. Does 16 divide 3\/c*520\/36*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**9\/423360 + v**8\/47040 - v**6\/1260 - 7*v**5\/60 + 18*v**2. Let b(p) be the third derivative of g(p). Solve b(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 32*t - 22*t - 24*t + 4*t**2. Let n(s) = s**2 - 3*s. Determine 3*i(q) - 14*n(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5046714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*q + 2 + 4*q**2 - 2*q**2 - q**4 - 31*q in the form c*q + o*q**4 + v*q**3 + m*q**2 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 2 - 2)*(-4 - 3*k - k + 7*k) to o + a*k**2 + d*k and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -4, 2, 10\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19262 is divided by 62?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 12:23 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-3*s - s + s) + 45*s + 74*s - 4*s + 49*s.\nAnswer: 170*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -18*g + 144, -18*w + 57 = -14*w - 5*g for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 1061*n**2 - 20*n**3 + 55 - 1070*n**2.\nAnswer: -20*n**3 - 9*n**2 + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - ((-5162)\/4 + (-75)\/30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 5:49 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1121 - -376414.\nAnswer: 377535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/(-3) + 2 + -9. Let k = -1.1 - -0.8. Which is the closest to m? (a) k (b) -0.1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(66\/(-2016)) - 0. Suppose -21*w = -25*w + x. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/32*((-4)\/(-24) + 0)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b - 15. Let t be i(-12). Suppose -a - t = -4*a. Calculate the remainder when 90 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 41 = 19. Suppose -2*n = 2*n - 4. What is the least common multiple of n and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.055 - 30.055. Let y = -32 - n. Let m(f) = -f + 4. Let k be m(5). Which is the second smallest value? (a) -3\/7 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/((sqrt(540)\/sqrt(9))\/sqrt(10)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 14. Let j(q) be the third derivative of -2*q**3\/3 - 3*q**2. Suppose -4*u + 3*h + 4 - 23 = 0, 4*h = -u. Give u*a(k) - 14*j(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*z**3 - 2 + 2 + 2*z**3 - 2*z**3 + z**3 + (-1 + 2*z + 1)*(1 - z**2 - 1) - z**3 + 8*z**3 - 3*z**3 + (0 - 2*z**2 + 0)*(z + 0 + 0).\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 914538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 857352 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1145 = -c, -4*c - v - 2288 = -2*c. Let o = c + 1974. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*z + 118. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = b + 55. Let k = b + 63. List the prime factors of -3 - (-212)\/18 - 4\/k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/(-16)*(-424)\/(-5). Suppose j = 5*z - z. What is the remainder when z is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8356 - 26258?\nAnswer: -35625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -762 greater than or equal to 77702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 7 + 3. Suppose 3*t + 6 = l - 2*t, 0 = -3*l + 3*t + 6. What is the units digit of 4 - (k + -2)*l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 12:59 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17.121 or 1\/385?\nAnswer: 1\/385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + -18 - (11 + -6 + -6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Suppose 60 = 4*s - j*s. Let r = 27 + 17. Calculate the remainder when r is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnggweeqqnqgqgpgwpgp. What is prob of sequence epg?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - 71.7. Let j = 4 + s. Sort j, -0.2, 3.\nAnswer: -0.2, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzt when three letters picked without replacement from {z: 7, t: 2, q: 4}.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 189 + -182 - 2590\/396 and -103\/108?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-21) + ((-600)\/(-42) - 3). Let s(c) = c - 10. Give s(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -f + 4*p - 3, -2*f - 4*p + 2 = 0. Suppose -2*x + 0*x + 46 = 0. Suppose 7*h - l = 2*h - x, 2*h - 5*l = -23. Put h, f, -1 in descending order.\nAnswer: f, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3616 = -36*w - 1096. Suppose -74*c + 60*c = -w. What is the greatest common factor of c and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -598.6 - -599. Which is the smallest value? (a) 1.3 (b) 3 (c) t (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 - 51. Calculate the highest common factor of 54 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2195 is divided by 731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twtidti. Give prob of picking 1 w, 1 d, and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009106 to five decimal places.\nAnswer: -0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433, 439, 443, 445, 445, 443?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -113. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/3*(-2 - 3 - -3). Let a(w) = 4*w**2 + 6*w + 8. Does 25 divide a(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**2. Let t be n(2). What is the greatest common divisor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d4c29 (base 16) in base 9?\nAnswer: -1567374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -71411041 divided by -4\nAnswer: 71411041\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 14*c**2 - 21*c - 322. Calculate x(-14).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2460098 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 5*n - 26848. Let w be (n\/(-14))\/(9\/21). Let g = -11920\/21 - w. What is the common denominator of -45\/7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -586.1244 - -0.1244. Let s = a - -585.463. What is s rounded to 2 dps?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120221 - -10?\nAnswer: 121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401*v - 82*v - 1595 = 0. Let q(f) be the first derivative of -3\/5*f**5 + 14*f**3 - v + 0*f**4 + 0*f + 0*f**2. Find the third derivative of q(w) wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 1.137.\nAnswer: -10.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96\/7 - 27\/2. Let l = -0.15 - 0.05. Which is smaller: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124915821?\nAnswer: 3, 1531, 27197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q = -75. Let n = q + 27. Let m(v) = -v**2 + 14*v - 18. What is the remainder when 17 is divided by m(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 20 = -5*o, 5*o - 1 - 11 = -t. Let g(s) = s. Let l(b) = -4*b. What is o*l(j) + 9*g(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3 - 3)*(w + w - 4*w) + (38 + 3 - 15)*(-2*w**2 + 2*w - 2*w + (2 + 2 - 5)*(0*w**2 + 5*w**2 - 4*w**2)).\nAnswer: -74*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12715 (b) 0.03 (c) -3\/2 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 764 = 3*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*w**6 + 15*w**4 + 1038*w**2.\nAnswer: -4800*w**3 + 360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-1)\/(6*(-10)\/120))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, 141, 679, 1849, 3891, 7045?\n\"Answer: 40*d**3 - 44*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 213.4078 centuries?\nAnswer: 256089.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 669518 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.3*3.\nAnswer: 33.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -532a3 + -4?\nAnswer: -532a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y - 12 = 15*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.359 + 6.3. Let v = 304.062 - 304. Let o = i - v. What is o rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*p**3*q + 2*p**2*q + 149*p*q - 117*q wrt p?\nAnswer: 42*p*q + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 u when three letters picked without replacement from {o: 1, u: 7, e: 2, j: 2, y: 7}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.008502 days in hours?\nAnswer: 168.204048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*b**2 - 29 + 1 + 28 + 2*b in the form p*b**2 + n + i*b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**4\/4 - 7*n**2 + 185*n + 5. Let c(p) = -10*p**2. Give c(b(t)).\nAnswer: -90*t**4 + 840*t**2 - 1960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 10*t**2 + 14*t + 14. Determine y(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from hhjhchhoaoowo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 13*b - 12. Let c be a(-11). Suppose -76 + 1 = -5*g. What is the highest common divisor of c and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 111, 445, 1273, 2817, 5299, 8941?\n\"Answer: 37*i**3 + 25*i**2 + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 437*r**2 + 31*r - 71. Is q(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3220)\/1274)\/(-46))\/((-10)\/70)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhfhhchhhhjkj. Give prob of picking 1 j, 1 c, and 1 h.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*o + 2565 + 724 = 590 - 811 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 3*i**2 + 2*i - 3. Let q be s(3). Factor 4*n - 8*n - 4*n**q + 10*n**2 - 2*n**2.\nAnswer: -4*n*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(49)\/(sqrt(49)\/sqrt(112)) - (4 + 0 + sqrt(847))))*-5.\nAnswer: 25 + 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 17. Let z be w(-4). What is the derivative of -7*v + z*v**2 + 9*v + v - 31 - v wrt v?\nAnswer: 26*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 135\/390 - 4\/(-26). Let j = 2.15 + -0.15. Let y = 9 - j. Which is smaller: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*y = 3*y - 352, 5*y - 521 = -3*o. List the prime factors of o.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4366 - 4363. Let r(a) be the second derivative of 0*a**4 + 16*a + 17\/2*a**2 + 1\/5*a**6 + 0*a**5 + 0*a**w + 0. Find the first derivative of r(g) wrt g.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:57 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 227 - 244. Let r be y\/(51\/14) + 5\/3. Let u be -18*2\/(-4)*1. Put 0, r, u in increasing order.\nAnswer: r, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0281898 (b) -163 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2167977222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -202*m**2 - m - 3. Determine k(2).\nAnswer: -813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 11:43 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -1\/10, 2 in descending order.\nAnswer: 2, 1.2, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -b + 8, 4*b - b + g = 11. Let f = 6 - b. Let q = 6 - f. What is the lowest common multiple of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8432519 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/11)\/((-2160)\/1782).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27.3 * 130\nAnswer: -3549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143 and 3?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2350801.\nAnswer: 197, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*y + 372, -24*s + 5*y = -19*s - 470. Does 90 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -16, 2, 1, -3 in descending order.\nAnswer: 2, 1, -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -318, 223, 762, 1299?\n\"Answer: -p**2 + 544*p - 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -25, 4, -1\/2, 0.032, 0.5?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 44*m**3 + 24*m**3 - 69*m**3 + 10881*m.\nAnswer: -m**3 + 10881*m - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -19*f + 17. Let p(m) = 10*m - 9. Let g(c) = -11*p(c) - 6*v(c). Let w be g(2). Let b = w - -6. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/3 in -1, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqsib. What is prob of picking 1 b, 1 x, and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3841 + -3820 - (1 - -11)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 7 = -4*m, 0 = 5*m - 13 - 7. Suppose i = 5*a - 17. Let u(b) = 9*b - 11. Let l(n) = 5*n - 6. Determine a*u(g) - 7*l(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Let r(b) be the first derivative of 18 + 0*b**2 - 22*b + 37\/12*b**4 + 0*b**3. Let k(y) be the first derivative of r(y). What is x(k(j))?\nAnswer: 37*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2 + 5*k + 2*k - k**2 + 4*k - 4*k. Let r be x(6). Let d(f) = 3*f - 10. Let q(i) = 3*i - 9. Let w(j) = -3*d(j) + 4*q(j). What is w(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4 + 0*p**3 - 42*p**2 - 4*p**3 + 4*p + 54*p**2 - 8*p**4 + 0*p**3 = 0?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 271*o**3 - o**2 - 2*o - 9. Is w(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + 6*x - 6*x + (3*x + 0*x - 2*x)*(2 - 1 - 3) - x - 3 + 3 + 13*x + 7 - 7)*(7*x - 2*x + 0*x).\nAnswer: 75*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 86*z**2 + 134*z**2 - 456*z**2 + (2*z - 4*z - 2*z)*(5*z - 4*z + 0*z).\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w = -16. Let g be (6 - (-2 + 1)) + (-22572)\/1596. Which is greater: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.3 (c) -3.84 (d) -2.7 (e) 7 (f) -0.7 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0255 + -0.2255. What is the closest to -17 in a, -0.5, -3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 5*n**2 - 12*n - 11. Let m = 166 + -127. Suppose 9*j + m = -33. What is the units digit of w(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d + 0*d - 5*d - 17 + 4*d + 17 + (8 + 6 - 4)*(-2*d + 4 - 4) - d - 2*d + 4*d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 7*l - 1. What is the remainder when 5 is divided by v(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/5 or -10.5?\nAnswer: -10.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 78 - -153d9c?\nAnswer: 153e25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00086158 to 6 dps.\nAnswer: -0.000862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/540216301?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (12192\/5715)\/(2\/5)*(-3)\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1096*y**3 - y + 2465. Let p(u) = 2196*u**3 + 2*u - 4931. Let q(o) = 7*f(o) + 3*p(o). What is the second derivative of q(d) wrt d?\nAnswer: -6504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/103 + -115\/618. Let u(j) = -5*j**2 + j**3 + 7*j**2 + 2*j + 0*j + 6 + 3*j**2. Let s be u(-5). Which is the closest to t? (a) s (b) 0.2 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 17. Let n(w) = w - 1. Let u(d) = -a(d) - 2*n(d). Let p be u(0). Suppose -3*j = -5*v + 12 - 0, 5*v = -4*j + p. Is -2\/11 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5 - (75 - 50)) + 0 + 4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*r**2 - 37*r**2 - 37*r**2 - 35*r**2 - 35*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 499, 986, 1465, 1936?\nAnswer: 2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a**2 + 8*a + 14*a**2 + 6 - 12*a + 9*a. Let c(o) = 9*o**2 + 5*o + 7. Calculate 6*c(u) - 7*z(u).\nAnswer: -2*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -4*l**3 + 543 - 549 - 24*l + 5*l**3. What is the derivative of u(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4663 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3523585 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1031 or -35?\nAnswer: 1031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*j - 111 = 33*m + 33*m, 0 = -j + 4*m - 4 - 1 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 15698?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3\/12 + x**2\/2 + x + 106. What is r in u(r) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 3. Let s = 3 - h. Suppose 3*g + 5*w - 1 = s, -3*w - 2 = 4*g - 7. Solve -3*y + 22 = 5*n, g*n + 2*n - 23 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 - -119. Suppose -4*j + j + 904 = w, o = j - 5. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 7)*(l - 5*l + 2*l + 2)*(2 + 1 - 1)*(3 - 7 - 1) + (120 + 43*l - 120)*(2 - 3 - 7) as g + r*l and give g.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 8 - (0 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, v: 4, l: 5}. Give prob of picking 2 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3604 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + v = 16, -2*v + 8 = -0. Let r be -49*a*3\/(-9). Round r to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 78 - 54 = 0. What is the hundreds digit of (q*(-786)\/(-12))\/(2\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6 = 10. Suppose -2*i = -2*p - 36, -y*p + 3*i - 33 = -2*p. Let j = p - -57. What is the greatest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-40) + -1*62\/70. What is the nearest to -4 in -2\/5, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, m: 1, p: 5, o: 2, q: 1}. Give prob of picking 1 m, 1 p, and 2 e.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2773 from -38.\nAnswer: -2811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != 0.423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 3*x + 5*q, -3*x + 3*q - 2*q = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -26. Let u = -24.3463 - -2.3083. Let y = w - u. Round y to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.46 + 2.1. Which is the third biggest value? (a) 9 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 51\/(-6))*2 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88934\/14505 + 2\/967. What is the common denominator of -22\/655 and q?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/56 - (-10)\/35. Let r be 2\/(-10) + 4\/(-10). Let f = -332 + 331. Which is the biggest value? (a) f (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*j + 18612156 - 1245348 = 0, 4*v + j + 17366802 = 0. What is v rounded to the nearest ten thousand?\nAnswer: -4340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(3*sqrt(196)))**2 + (sqrt(44)\/sqrt(4) + 2 - (sqrt(275)*2 - sqrt(275))).\nAnswer: -4*sqrt(11) + 893\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -653 + 674. What is the remainder when h is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -837.01587 to the nearest integer.\nAnswer: -837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 29 + 2*u**3 + 27 + 26.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*k - 58 = -186, -4*k + 130 = 3*b. Calculate the least common multiple of 9 and b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5*l**3 - 3*l**3 + 12*l**2 - 7*l**2 - 49*l**2 as n*l**2 + x + b*l + r*l**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**5 + 13795*j**4 + 124560*j**3 = 0. Calculate j.\nAnswer: -9, 0, 2768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - 11520\/(-261))\/(-6)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2447055)\/86775*4*((-14)\/(-24) + -1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1335?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95.5 - -95.2. Let x = -4924\/23 + 214. Which is the nearest to 1\/2? (a) 0 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (9 + -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -2439462 = -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*o = -0*o - 8, 17 = 2*h - 5*o. Let a(g) = 5*g + 3 + 4*g**2 + 3 + 4 - 5. Let k(l) = -l**2 - l - 1. Let b(v) = h*a(v) + 5*k(v). Solve b(d) = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 10 - 50)*(2 - 2 - 1)*(5*w - 3*w - 3*w).\nAnswer: -60*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*x + 2*z, 2*z = 1904*x - 1909*x + 43 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100000 + -1110000110101000?\nAnswer: -1101110100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 - 1. Suppose f - 12 = 5*f. Let v be x(f). What is the units digit of (6 + -12)\/(-6) + 3*v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 8656.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d = -7*d - 106658. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -976793*n + 4883942. Give w(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2 - 26234*j + 26232 = 0.\nAnswer: 1, 13116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -90.\nAnswer: -14\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-10) + -2 + -4 + (-7803)\/85. Suppose l = 5*l - 408. Let j = l + u. What is the lowest common multiple of j and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eememeeeeeeeeeeememe. What is prob of sequence eme?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((-5 + -2)*(5 + (-192)\/42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1236\/16 - (-30)\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14347474.\nAnswer: 2, 7173737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 0, 2*a - 2031 = -a + 3*o. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669*d + 4 + 2006*d - 661*d + 0 - 675*d.\nAnswer: d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6886987 = -4*s, 4*s - 5*h - 4015059 = 2871978. Suppose 17*x - s = 6*x. Let c = x - 94523. Round c to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 938 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 1)\/3 + 17. Solve -2*f - 5 = -3*v + 14, -h = 4*f - 2*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + a**3 + a**3)*(3*a - 7*a + 2*a)*(2 + 4 - 5)*(-8 + 75 + 2).\nAnswer: -276*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39869 is divided by 39376?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-4)\/(-5) - (-14)\/(-70). Put z, -13, 5 in descending order.\nAnswer: 5, z, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1389 and -7434.\nAnswer: -10325826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 22 = 1614128*n - 1614129*n + d, 3*n = 3*d + 60 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*s, -3*s + 63 = u. What is the highest common divisor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (105\/6)\/(-5)*(-26 + 36). Let b(d) = 6*d + 226. Let f be b(w). Solve 18*l - 10*l + f = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 8) in base 7?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 + 109. Let n be t + (-7 + 2)\/(-1). Suppose -6*k - n*k + 63 = 0. What is the remainder when 10 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 233248 divided by 4?\nAnswer: 58312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 + 3*q. Let a be z(-2). Suppose -o - o = -a. Suppose -3 = j - o. Calculate the greatest common divisor of j and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**2 - 19*v + 186. Calculate l(9).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 10 - 1)*(-2*l**5 + 3*l**4 - 3*l**4).\nAnswer: 24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/504668450 and 63\/44.\nAnswer: 1009336900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 26. Let t be g(11). Suppose o - 30 = -t*o. What is the first derivative of 3 + 7*q**2 - 2 - o wrt q?\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2209227412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 1 + 5 + -1. Let k be (118\/2)\/(y - 2). What is the second derivative of 46*u + 24*u**3 - k*u - 9*u**3 wrt u?\nAnswer: 90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 2*p - 5*p + p. What is the remainder when (6 - -4) + -1 + 1 is divided by c(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-5*sqrt(198))\/((sqrt(1100) - (sqrt(1100) - sqrt(1100)*-1)) + sqrt(11) - (sqrt(121) - (2*sqrt(121) + sqrt(121)))\/sqrt(11)))**2.\nAnswer: 11250\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13db6e5 - 4?\nAnswer: -13db6e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 10*i + 7. Let o be j(-4). Put -3, -117, 2, o in increasing order.\nAnswer: -117, -3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163797\/2 - 81899. Let i be (-4)\/(-14) - (-12)\/7. Suppose -h = i*w + 3*h - 18, -5*h = -10. What is the nearest to v in w, -0.03, -4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2772 = 2*g - 0*h, -4*g + 2*h + 5524 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -13. Let q be -1 + 0 + (-12)\/(-14). Put 4, q, k in decreasing order.\nAnswer: 4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -1. Let c be 4\/b*1*0. Let r(z) = -z**2 + z**2 + 0*z**2 - 1 - z - z**2 + 9. What is r(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.4 (c) 2 (d) 1.85 (e) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4745 - 1977 = 1056*m - 135*m - 275 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13536?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7661 and 22795?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:02 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0568 + 1.3568. Let v = 1.45 - b. What is the second biggest value in 0.06, v, -1, -2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(44)\/sqrt(2) + sqrt(22)*-1*2)\/(((1*sqrt(36) + sqrt(36))\/sqrt(9))\/(sqrt(4)\/sqrt(2)*-6)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - -107) + -19 + 19.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from mukyy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 4004?\nAnswer: 4001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-812)\/(-5) - (-14)\/(-10). Let l = 413\/2 - n. Calculate the common denominator of l and 11\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -46*r**2 - 11*r + 11. Let q(m) = 9*m**2 + 2*m - 2. Give -2*n(t) - 11*q(t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 4*i - 3. Suppose p = 4*p + 15. Let f be b(p). Solve 0 = m - 5*t + 4*t - f, 5*t = -5*m + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -226 + 226 + 20*s in the form k*s + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 233841765 to the power of 1\/4, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 2\/5, -0.06, -124, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*t - 274*t + 139*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*b + 29088, 2*r - 5*b - 31105 = -11702. What is the thousands digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -180?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, x: 2, o: 1}. What is prob of picking 1 o and 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12978 - -12984. Calculate the least common multiple of r and 851.\nAnswer: 5106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 - 6c?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3186, 3238, 3376, 3642, 4078, 4726, 5628, 6826?\nAnswer: 8362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 376 and 27.\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 15*q**2 - 27*q - 157. Let o be m(-14). Solve -5*d + 4*j + o = 0, -j + 5*j + 24 = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -36 (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-102 + 185 - 157)*(-8 + 7 + 61*z + 1) in the form o*z + x and give o.\nAnswer: -4514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (51 + (21 - 47) - 19)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9946, 39812, 89586, 159268, 248858, 358356?\n\"Answer: 9954*n**2 + 4*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 35032152?\nAnswer: 1\/17516076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-5 + 4) - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 196*q - 18. Let p(o) = -11*o + 1. Let v(n) = 2*i(n) + 36*p(n). Let s(t) = -198*t**2. Determine s(v(z)).\nAnswer: -3168*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 3*z**2 - 6*z + 2. Let o(b) = -b**3 - 3*b**2 + 7*b - 3. Calculate -4*j(c) - 3*o(c).\nAnswer: -c**3 - 3*c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**8*l\/(l**8\/l)*l**(4\/7)*l*l**(-7)*l*(l**(-2)\/(l**(-5\/6)\/l))\/(l\/(l**(2\/11)\/l)*l**(-1\/5)*l) assuming l is positive.\nAnswer: l**(-46693\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -684931364079 and 5?\nAnswer: 684931364084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49412200 by -9.\nAnswer: 49412200\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express s - s + 5*s**3 - 68*s**2 + 79*s**2 as j + h*s + w*s**3 + k*s**2 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5)**(-4\/17)\/(m**(3\/7))**(2\/15))**(-15\/8) assuming m is positive.\nAnswer: m**(1101\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 23 + 0*p**2 - 2*p**2 + 0*p**2 in the form b*p + i + k*p**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -52, 3, 2.\nAnswer: -52, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-12) - -3)*-2. Let t(s) be the second derivative of s**4\/12 + 5*s**3\/3 + 33*s**2\/2 + 5*s. Calculate the remainder when 27 is divided by t(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by 10701.\nAnswer: -46\/10701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-3176)\/3970*1\/(1\/2))\/(26\/15)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*z - z. Let m(l) = -l**3 + 3*l**2 - 3*l - 2. Give m(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.933 - 7.9. Round n to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54928 is divided by 6797?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/1957 and 61\/19585656?\nAnswer: 19585656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.037, -4, -0.031, 0.1, 2\/3, 1 in ascending order.\nAnswer: -4, -0.031, 0.037, 0.1, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - (0\/(-4) + 4). Let h(n) = 3*n**2 + 2*n - 3. Calculate the remainder when h(l) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*n - 147, 24*q = -3*n + 27*q + 93. What is the least common multiple of n and 177?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, n: 5, k: 2, i: 3}. Give prob of picking 1 u, 1 k, and 2 i.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-120)*-9*110\/(-33).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s = -16. Let w be (-13)\/(65\/(-35)) + 3 + -1. Which is smaller: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 4836*v - 456638.\nAnswer: 2*(v - 91)*(v + 2509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -61*b + 3. Let g be q(-5). Let l(z) = -20 - 3*z + 8 - 2*z. Let o be l(-8). What is the highest common divisor of g and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + -18216?\nAnswer: -18245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -16*d**5\/5 - d**4\/6 - d**3\/6 + 43*d**2\/2 + 230*d. What is the second derivative of n(o) wrt o?\nAnswer: -384*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9517 + 13704. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 6\/5, 0.05, -2\/19?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -135342546 + -5?\nAnswer: -135342553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 7*t**2 + 7*t + 6. Let z be i(-6). Solve 5*k + 7 + 13 = z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/19)\/m)\/(m*m*((m**(-3\/2)\/m)\/m)\/m*m))**17)**(38\/7) assuming m is positive.\nAnswer: m**(255\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302313132 (base 4) to base 5.\nAnswer: 23131400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 22*v**2 - 10*v**2 - 953 + 110 - 2*v**3.\nAnswer: -2*v**3 - 31*v**2 - 843","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 48880 = 3*q, q - 37400 + 232894 = 4*y. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97.35 + 102.35. What is the closest to 0 in 117, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (-180)\/6525*1055\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48858 = -1757801*s + 1757322*s for s.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 18*x**2 - 194*x + 3. Calculate c(10).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (182\/(-35) - -5)*-3*(-15)\/(-36). What is the biggest value in n, 4\/15, -1\/4?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 14. Let i be u(10). Let t = i + -7. Sort -4, t, 5 in decreasing order.\nAnswer: 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278513 to the power of 1\/2, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/191, -1, 0 in decreasing order.\nAnswer: 1\/191, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47.2 + 0.2. Let v = 47.052 + k. Round v to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13447 or 27286?\nAnswer: 27286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 12:14 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2028*b**5*k - 10*b**5 - 201*b*k - 6*b + k - 1 wrt b.\nAnswer: -40560*b**3*k - 200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjgg when four letters picked without replacement from {j: 1, g: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wweeecwwwe. Give prob of sequence ew.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*g = -0*g + 20, g = 3*f - 10. Let i be (-14)\/f*(-32)\/14. Suppose i = -19*h + 84. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -471 (b) -1 (c) -10 (d) 0 (e) -0.3 (f) 498\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 11:31 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3*a + 54 = 0. Suppose 0 = 13*m - m + 252. Let n = m - a. Sort 5, 1, n.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87631 smaller than -87632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/262753627 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -5 + 7 + (14 - 24 - 15 - -25)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94795, -178862, -262929, -346996, -431063, -515130?\nAnswer: -599197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 + 18*q**2 - 141*q**2 + 9*q**2 + 97*q**2 + 11*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 a when three letters picked without replacement from bfbvasbfvssfffsfvaf.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-49)\/(-28))*(1 - 3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*c - 269*c - 3*c**2 + 88*c + 90*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 + 72*k**2 - 51*k + 100. What is the units digit of l(35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 2675992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*2*8\/((-264)\/(-11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11541725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 408911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -6 - (-4)\/(-2). Let x be (-17)\/(5 + s - 2). Solve 0 = -t + 4*t + 5*i + x, -11 = -3*t + 2*i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2*sqrt(1000) + sqrt(1000))\/((sqrt(8) - sqrt(8)*-1)*-6) + -5)**2.\nAnswer: 25*sqrt(5)\/2 + 525\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 39 = 3*q, 2*q - 5*u - 370 = -394 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-6))\/(145\/(-87))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108 + -56. Let c = k + -53. Let y = 0.2 - 0.3. Is c greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 77161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 9. Let q(r) = -19*r**2 - 1. Let y(h) = -h. Let n(g) = -q(g) + 4*y(g). What is the units digit of n(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 b when four letters picked without replacement from {b: 3, c: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86269 - 86269 - 82*q.\nAnswer: -82*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + n - 41*m = -34*m - 59, 0 = n - 5*m + 17 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -8 - 10) + 4 + -8 + 2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135 by 135.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*((-4)\/(-1) + -5). Suppose 3*h + 8 = -h + 3*j, j = z*h. What is the units digit of ((-9)\/h)\/(3\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, t: 11, c: 3}. Give prob of picking 2 c and 2 l.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 2*y - 27. Let b be s(4). Let t(v) = -v**2 + v. Let l(d) = -2*d**2 + d. What is b*l(o) + 3*t(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + i - 6 = 0, c = 2*i - 7*i - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from jjjjjpjpjjjjpjjjjpjj?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 7, 1, -39, -1 in ascending order.\nAnswer: -39, -13, -1, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.021 - 0.179. Let u = 0.1 - -0.1. Which is the third smallest value? (a) q (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.9. Let y = -0.47 + l. Which is the smallest value? (a) y (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 + -72. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**2 - 2177199*t = 0.\nAnswer: 0, 725733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-5))\/((-20)\/(-200)). Let o(u) = -u**2 - 11*u + 33. What is the tens digit of o(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7166, 1\/6, 34\/159 in ascending order.\nAnswer: -7166, 1\/6, 34\/159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 7 - 3 + 1. Let g be o(0). Let d be (-3)\/1*2\/(-2). Solve -10 = g*u, 10 + 1 = -d*i - u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 3:51 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 167, 247, 327, 407, 487?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1023*l - 103322. Let k be t(-101). Let a be 2\/(-8)*4\/54. Which is bigger: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k + 1. Let c be ((-3)\/(-4) - 2\/8)*118. Let f = 63 - c. Calculate a(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*k = 30*k + 352 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (0 - (-12 - -9)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1 + 8)) + (2 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*w**2 + 167*w**2 + 22784 - 22786 + 184*w**2.\nAnswer: 391*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010101100110101001011 (base 2) to base 8.\nAnswer: 12546513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*l - 8. Let x = 7 - l. Solve 0 = 5*w + 7 + x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/5)*(y*y**(-6))\/y)\/((y\/y**6)\/((y\/(y**10*y))\/y)) assuming y is positive.\nAnswer: y**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 15*f + 10 = 0. Let w = -6 - f. Let y = -1.09 + -0.91. Which is the biggest value? (a) w (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 148, 1250, -3, 3, 5, 17 in descending order.\nAnswer: 1250, 148, 17, 5, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -33*q**2. Let h(t) be the third derivative of t**4\/4 + 37*t**2. Determine h(n(b)).\nAnswer: -198*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) -0.2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*-0.054.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51548 = 27*y + 6*y - 59897. Calculate the greatest common divisor of 220 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000454288442 rounded to 6 decimal places?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 11*f - 10. Suppose 5*d + 4 = -3*o, o + 2*o - 14 = 4*d. Let p be 1*1\/(d\/18). Is i(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 583051*i + 3498288. Give y(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-1))\/((-6)\/(-2094)). Let x = -177 - b. What is the remainder when x is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -983*x + 987*x - 24 = 0, 0 = 5*t - 2*x - 878. Which is bigger: 183 or t?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2947238*t**2 - 10963363*t wrt t?\nAnswer: 5894476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 - 33787a?\nAnswer: -337905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 2. Suppose -5*b - 125 = -3*l, -l + 27 = -0*l + 2*b. Suppose 5*m = -4*a + l, -m = m - 6. What is h(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*m + h + 8, 4*m - h = 6. Solve 0 = -0*y - m*y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.02491 and -6.\nAnswer: -24.14946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 6237, -0.17, -3\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 11 = -2*g, 3*i + g - 2 = -0*i. Find the common denominator of (-510)\/18*(-3)\/(-4) and (154\/36)\/i - 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 0.053 (c) -4 (d) 1\/2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 269473 - 3?\nAnswer: 269470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -511 (base 6) to base 11\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1379 (base 15) in base 3?\nAnswer: 12201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.612232 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1559*w - 3. Let k(c) = -5715298*c - 10997. Calculate 3*k(i) - 10997*n(i).\nAnswer: -1571*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**(2\/3))*c**(-4\/5)*(c\/(c\/((c**(-1)\/c)\/c*c*c*c))*c)**(-2\/39) assuming c is positive.\nAnswer: c**(-296\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 28, 116, 294, 592?\n\"Answer: 5*m**3 - 7*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2296744, -4593485, -6890192, -9186847, -11483432, -13779929, -16076320, -18372587?\nAnswer: -20668712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500\/(-30)*(7\/28*16)\/5?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v**2 + v - 1. What is the lowest common multiple of s(-2) and (20\/48*4 - 0)*6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11018873.\nAnswer: 17, 41, 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 9:20 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 24 = -8*f. Suppose -f*b = 3*b - 85. Let i = -138 + 274. What is the greatest common divisor of i and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4846533618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 - (8 - 20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 - -0.1. Let c = 0.04 + j. What is the closest to c in -1\/4, 2\/5, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 14.\nAnswer: 39\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1143*2.6746.\nAnswer: 3057.0678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h**3 + 2*h**2 + h. Let b = -4 + 3. What are the prime factors of g(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -f - 2*f - 3452515, -f = 5*i + 4315652. Let q = -123131 - i. What is q rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4215 + -2469. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3564\/648*(-36)\/(-2).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*o - 80 = 0, -2*j = 2*o - 9 - 29. Differentiate -51 - 6*q - j*q - 54 wrt q.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 312470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 + -82. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -140864*z**2 + 857687 with respect to z.\nAnswer: -281728*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 0*b = 4*b - 8, 0 = -2*q - 2*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 405641, 405734, 405905, 406160, 406505?\nAnswer: 406946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z - 2*z + 36*z**3 + 5*z**2 - 35*z**3 + 3. Let j be o(-5). What is the units digit of -1 + (43 + j - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 2:20 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 398\/(-14)*(-35)\/30. Let i be (-3)\/(12\/8)*(10 - 12). Find x, given that 49\/6*x**i - a*x**2 - 35\/3*x**3 - 46\/3*x - 2 = 0.\nAnswer: -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114294\/17 or 6724?\nAnswer: 114294\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) - 2012\/(-14). Let g = -46 + 62. Calculate the highest common factor of z and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 + 12. Let g be (1 + (-7)\/(-3))\/((-2)\/(-3)). Let x(r) = -4*r**2 + 12. What is g*x(l) - 6*h(l)?\nAnswer: -2*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 77*j + 2*j**4 + 80*j - 2*j**2 + 13*j**2 in the form i*j**2 + p*j**4 + m*j + q + v*j**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -1276\/35?\nAnswer: -1276\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4214642 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2*u - 36 + 20 = -18, -5*y + 0*u + 2*u = -8*y - 26 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 190013722 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: Which is the closest to 2? (a) -307 (b) 12\/13 (c) 3 (d) -2\/11 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**7\/63 - 2*t**6\/45 + t**4\/9 + t**3\/9 - 4*t. Determine i, given that y(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -525323 at most as big as -525322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22 - 0.379104.\nAnswer: -0.159104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191907.\nAnswer: 29, 75583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/2, -17, -123 in ascending order.\nAnswer: -123, -17, -0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 2 - 2)*(4 - 4 - 2) + 35*y - 25*y + 32*y to m*y + l and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 7 - 5. Suppose -4*d - k = 3. Is 3\/10 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2328992, 4657942, 6986892, 9315842?\n\"Answer: 2328950*y + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -54. Suppose k*g - 13 = -3. Suppose -2*l + 0*l - 72 = -5*n, -g*l + 68 = 3*n. Is 17 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2 + 11\/(-2) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/7 - 384*x\/7 - 1296.\nAnswer: -4*(x + 42)*(x + 54)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 645*t**3 + 252*t**3 - 168*t**3.\nAnswer: 729*t**3 - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 9*v + 13*v**2 - 34*v - 4 + v + 6. Let r be m(-6). Let b = r - 319. Round b to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3032856 to the power of 1\/2, to the nearest integer?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 79*j**2 - 173*j - 1476. Give y(-77).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16326 (base 8) to base 7.\nAnswer: -30344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 - 1529*t**2 - 7646*t\/5.\nAnswer: t*(t - 7646)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 49. Which is the fourth biggest value? (a) -3 (b) n (c) 0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1369\/30 - -234\/5. Suppose j*p + 1\/6*p**2 + 0 = 0. Calculate p.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 5*c - 2. Let w be y(6). Suppose 0 = -2*v - i + 4, w*v + i - 5 = -1. Suppose v = -l + 6*l - 255. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*y + 0*t = -71*y - 5*t + 143, 4*t = -3*y + 133 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(p - 3*p + 3*p)*(-1 - 1 + 4)*(-3 + 3 - 1).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -35. Solve u = -2*j - 0*j + 2*b + 6, 15 = -5*j - b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 167140 and 274.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3)*(0*z + z + 0*z) - 2 + 2 - z - 2*z + z + 3*z as f*z + y and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1033*o. Let x(a) = 4*a**2. Give s(x(z)).\nAnswer: -4132*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -409*q - 10557 + 25084 + 23101 for q.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/((1*sqrt(12))\/sqrt(3)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y + 3 + y + 7*y - 6*y + 7012*y**2. Is m(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4344 is divided by 128?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25699*-0.05.\nAnswer: 1284.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -298\/2015715 or 1?\nAnswer: -298\/2015715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0*t + 6*t**2 + 0 - 1\/112*t**8 + 0*t**7 + 0*t**3 + 1\/12*t**4 + 0*t**6 + 0*t**5. What is the second derivative of f(s) wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + (3 + sqrt(1008)*-2)**2 - (-1 + sqrt(1008))*5 - (-1*sqrt(28)*-1 - sqrt(28))\/(sqrt(4) + sqrt(4) + -5*(sqrt(4) + sqrt(12)\/sqrt(3))).\nAnswer: -192*sqrt(7) + 4046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.3 - -11.9. Which is the second biggest value? (a) r (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + 731 + -715.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 185280?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q - 103*q - 140*q - 52*q.\nAnswer: -259*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18014574 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14915585*-0.3\nAnswer: 4474675.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 141166 + 16?\nAnswer: 141215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 20236352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-2 + 11)\/(-9)) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13328 divided by 2.\nAnswer: 6664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from {e: 2, k: 1, g: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnqvnoqqyvqvonvn. What is prob of picking 2 q and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 245\/(-21)*615\/2870?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 76340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*(-11942)\/(-14) + (1 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (39 - 24) + -3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 599 = 4837. Calculate the lowest common multiple of 8 and q.\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 1\/4, -5, -0.04?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 52 + 12. Which is the nearest to 2\/13? (a) 1 (b) -2\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 664060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(1344) + sqrt(1344)*-2))\/(sqrt(112) - -5*(sqrt(112) - 3*sqrt(112))).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*c + 2*c + 11, 5*n + 4*c + 13 = 0. Let u = -2 + -1. Let d be -2 + 2*3\/u. Sort n, 5, d in descending order.\nAnswer: 5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (62 - 20) + -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(-336)\/(-392).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 4*u - 5. Let b be d(-3). What is the remainder when (-18)\/14 + b - 35002\/(-154) is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/526 and -51\/937.\nAnswer: 492862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*10\/(-4) - 3. Solve -4*x - 2*n = -j*x + 4, -2*n + 1 = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -5\/3 (c) 0 (d) 0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j. Let p(v) be the first derivative of -v**2\/2 + 4. What is p(n(g))?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523*z + 487*z + 156 + 204 = 0. Solve 5*s + 4*t = 21, 7*s = z*s + t - 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27039 + 2287 = 630*y + 826*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 4, r: 3, k: 1, z: 5, q: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4032 + -4031.6. Sort -5, -2, -11\/2, -0.3, v in ascending order.\nAnswer: -11\/2, -5, -2, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 6 = 5*w, -14*g + 10*g + 3*w + 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-165))\/(25\/375). Let d be ((-2)\/(-20))\/(8\/(-10)). Sort g, -1, d in descending order.\nAnswer: d, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*a - 11 + 38. What is the second smallest value in 2\/23, 6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/6)\/(m\/(m\/(m*m**0)*m)))\/(m**(2\/13)\/m**(-3\/16)))**(-4) assuming m is positive.\nAnswer: m**(317\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -341103 (base 5) to base 12\nAnswer: -6b64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (-15 - (-118 - -23))) + 2 + -12 - 11?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 7*h - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113070 and 9960.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 2*d**2 + 15 as h + b*d**2 + w*d and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**7\/n)\/n*(n\/((n*n**(-2))\/n))\/n*n*((n*n\/n**(-5))\/n)\/n*n*n*n*((n**4\/n)\/n)\/n)**(-23))**(2\/15) assuming n is positive.\nAnswer: n**(-782\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1844956, 0, -0.2 in decreasing order.\nAnswer: 1844956, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13663\/2604 - 2\/651. What is the smallest value in -0.5, f, -5, 3\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, 150, 846, 2278, 4698, 8358?\nAnswer: 13510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4, 1\/14, 4.1, 4.4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*j + 16, 5*c - 6*c + 23*j = 180. Solve o = c*v + 33, 9 = -3*v - 3*o + 3 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**2 + a - 19. Let b(j) = -j + 5 + j**2 + 8 + 2*j**2 + 0. Let w(h) = 7*b(h) + 5*f(h). What is the units digit of w(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**6)\/(n**(3\/8)*n))\/(n*n\/(n**(-1)\/n*n)*n)**(-1\/9))\/((((n**(1\/5)*n*n)\/n*n*n)\/(n**0*n))\/((n*n**(-4))\/n*n*n\/((n**5\/n)\/n)*n)) assuming n is positive.\nAnswer: n**(-4367\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-16))\/((-639)\/(-114310)). Let y be 538\/(-8) + 1\/4. Let s = z - y. Which is the third biggest value? (a) -4 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - q**2 - 3*q**2 + 4*q**2 - 3*q**2 + (-q - 5 + 5)*(-2 - q + 2) + (q + 4*q - 4*q)*(2*q + q - 5*q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -91164, -182306, -273448?\n\"Answer: -91142*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001160996 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - (sqrt(133) - (sqrt(133) + (1*sqrt(133) - sqrt(133)))*-5 - sqrt(133))) + sqrt(133))*2)\/(sqrt(175) - (sqrt(175) - 2*sqrt(175)*-3)).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1029.772696 to one decimal place.\nAnswer: 1029.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j*q**4 + j*q**2 + 499*j - 91*q**4 - 4*q**3 wrt q.\nAnswer: 72*j*q - 2184*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*b**3*f - 320*b**3 + 278384*b**2*f**2 + 2551 wrt f.\nAnswer: -5*b**3 + 556768*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 344 divided by 87\nAnswer: 344\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 a when four letters picked without replacement from {a: 5, d: 2, r: 7}.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101011010 - -100010111101011101?\nAnswer: 100100010010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36104, -69276, -102448, -135620, -168792, -201964?\nAnswer: -235136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -190, -443, -762, -1147, -1598, -2115, -2698?\n\"Answer: -33*p**2 - 154*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163 - 273. Let z = 110.3 + g. Which is the nearest to -1\/4? (a) -0.1 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**2 - 6 + 22 + 2 + 11*g**2 - 4 in the form s*g**2 + b + z*g and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3273655 and 2420.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*k + 30911*k + 34990*k.\nAnswer: 65380*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1440) + sqrt(1440))\/sqrt(5).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 975143291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 + -50. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 + 145. Factor 3*g**2 + 3*g - s*g**3 - g**2 + 48*g**3.\nAnswer: -g*(g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - -0.08. Let w = -0.05 + p. Suppose 8 = 4*s - 8. Which is the nearest to 1\/2? (a) w (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {w: 1, a: 1, t: 2, c: 2, r: 1, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 1. Let s be 4 + (6\/8 - 45\/12). Let w(x) = -2 + x + x - 2 + 4*x**2. What is s*w(m) + 5*y(m)?\nAnswer: -m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27953626 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 3*p**2 - p + 1. Let m be q(3). Let b be ((-5)\/(-2) + m)*0. Suppose 3*h + 8 - 17 = b. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/30)\/(((-15)\/5)\/(-18)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50274.97l in millilitres?\nAnswer: 50274970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 - 2*o**2 + 10*o + 3. Let x(j) = 2*j**3 + 2*j**2 - 12*j - 4. Let y(c) = 3*x(c) + 4*z(c). Factor y(k).\nAnswer: -2*k*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(-5*sqrt(8)*-2) + -3)**2.\nAnswer: -3*sqrt(11)\/5 + 911\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40929, 81586, 122243, 162900?\n\"Answer: 40657*b + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050 divided by -50?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31423 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a + 13 = 0. Let j = a - 3. Suppose 0 = -5*h + j*h - 10. Calculate the greatest common factor of h and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2417, 8, -2 in ascending order.\nAnswer: -2417, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/50 - 0)*10\/(-6). What is the fourth smallest value in -44, d, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2058 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2612 and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38701 = -13*r + 55492 + 4932. What is the greatest common factor of 250 and r?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 40*x**2 - 200*x + 3. Let n be w(5). Let m(l) = 26*l - 13. Calculate m(n).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15942931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -49.142205\nAnswer: -4.9142205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*x - 4*t, -5*t = -7 - 13. Let b = 22 + 5. Suppose x = -4*p + b. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2454*b**3 - 6*b**2 + 14*b + 20. Let x(d) = -3*d**3 + d**2 + d - 1. Let r(w) = -h(w) - 6*x(w). What is the second derivative of r(p) wrt p?\nAnswer: 14832*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 7 - 25 = -74 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3834 = -n - 60*t + 57*t, 4*n - 2*t - 15280 = 0. What are the prime factors of n?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -2aa25aa?\nAnswer: 2aa25aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 - -215. Suppose 0 = 13*f - 488 - d. Calculate the remainder when f is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 2:22 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 12*r**2 + 2*r - 179. Let t be z(-10). Suppose -2*a + 3*a - 2 = 0. Put t, -1, a in decreasing order.\nAnswer: a, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1200*c + 41049 = -44578 + 6104 - 2077 for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -2 (c) 1 (d) 0.04 (e) -1477936\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**4 + 234189446*y**3 + 366795907*y**2?\nAnswer: -72*y + 1405136676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0416, 0, -3\/16, 9\/17?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**(-5\/4)))**(4\/3) assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12521893907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 23019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 12 = 15*c. Solve -3*a = -c - 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -20*d + 644. Let a be m(32). Let z(r) = -2*r + 4. Let w be z(3). Let b be 34\/8 - w\/(-8). What is the greatest common divisor of b and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-7)*21)\/(30\/(-200)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymiqiiiqym. Give prob of picking 1 m, 1 y, and 1 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(2 + 2 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6335 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2913 = -5*p - d, -2*p + 2*d - d + 1168 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -o - 0*o. Suppose -a - o = -4*a. Let r = -25 + a. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5294055 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 141, 2\/7, 0.5, -1, 223 in increasing order.\nAnswer: -1, 0.1, 2\/7, 0.5, 141, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-4\/5)))**(-2\/33))**(-26) assuming o is positive.\nAnswer: o**(-208\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*n = 26, -4*n + 0 = 4*i - 28. Let f = i - -19. Calculate the remainder when 80 is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28638 - -28638.000039479. What is d rounded to 7 decimal places?\nAnswer: 0.0000395","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u - 1 + u + 10*u**2 + 3*u. Let w(t) be the third derivative of -t**5\/60 - 3*t**4\/8 - 7*t**3\/6 + 2*t**2. Let m be w(-8). What is s(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2344.3992 months to years.\nAnswer: 195.3666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30849 or -17097?\nAnswer: -17097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -121583899574080 minus 0.1?\nAnswer: -121583899574080.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 722*n + 662*n - 3222*n**3 - 141*n**3 - 1384*n.\nAnswer: -3363*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((2\/1514)\/1). Suppose -2366 = -3*b + 3*a + c, -3*b - 3*a = -3093. Let i = b - 12331\/12. Calculate the common denominator of 99\/20 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4 + 0)*(-24795)\/58 and 40.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4354397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 + 4.3. What is the closest to j in -0.1, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (68 - 136) + (0 - -28).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + c8?\nAnswer: c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 339*s + 628 + 1406 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t = -4097 + 3937 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 48*f**2 - 327*f - 280. Let h be u(-40). Which is greater: -3\/12781 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**5 - 4*s**5 - 2*s**5 + (0*s + 2*s - 3*s)*(0*s**4 - s**4 + 2*s**4) - 7*s**5 + s**5 + 3*s**5.\nAnswer: -5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1602 and 121218?\nAnswer: 363654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 761*l - 212. Let d(y) = -380*y + 107. Let m(s) = 5*d(s) + 3*g(s). What is the hundreds digit of m(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -425 by 379.\nAnswer: -425\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -1. Let n = 0.3 + -1.6. Let s = n - -1. Which is the smallest value? (a) s (b) 1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2021*x**2 + 9*x + 1. Is m(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 173087*n**4 - n - 173089*n**4 + n**3 + 8*n**2 + 3*n as i*n**2 + a*n**3 + l + f*n**4 + s*n and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 7 + (-18 - ((-21 - -13) + 14)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4 + sqrt(2448)*1)*-5 + 3).\nAnswer: 51 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10425 (base 10) to base 3\nAnswer: 112022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 23349105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (6 - 3) - (-2 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*-4)\/sqrt(10))\/(sqrt(400)*-3) + 2*sqrt(16)\/(-1*sqrt(8)\/sqrt(4)))**2.\nAnswer: 6728\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i*p**4 + i*p**3 + 10*i*p**2 - 515*i + 12*p**4 + 4*p**3 + p**2 - p wrt p?\nAnswer: -120*i*p + 6*i + 288*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 10:50 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1665*z**3 + 3*z**2 - 8*z - 11. Is n(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - q - 4*q + 17 = 0, -5*t - 4*q = -2. Let n(o) be the first derivative of -o**4\/4 - o**3\/3 + o**2 + 3*o + 13. Calculate n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1562\/15 - 524\/5. Sort -3\/20, 0.5, z, 4 in descending order.\nAnswer: 4, 0.5, -3\/20, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(12\/7)\/z**(-28)*(z*z**(1\/12))\/((z**(-25)\/z)\/z) assuming z is positive.\nAnswer: z**(4855\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -86. Suppose 24*h - 4 = 20*h. Let y be (h - -2) + 110\/s. What is the nearest to -2\/13 in 4, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62564 + 4*t + 0*t + 6*t**4 + t**3 + 0*t**4 - 28*t**2 - 62562 as i*t**2 + b + o*t**3 + c*t + v*t**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l - 4. What is the remainder when u(-3) is divided by (-106)\/(-12) + (-9)\/(-54)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752831432?\nAnswer: 2, 3, 11, 2213171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 3*j - 5*j + j**3 + 9*j - 11. What is the units digit of w(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, y: 2, m: 8}. What is prob of picking 2 y and 1 m?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/10 and -64\/75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 0, -4, 3, -11, 2 in decreasing order.\nAnswer: 47, 3, 2, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287765354?\nAnswer: 2, 37, 3888721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 31. Let l be n - 6\/3 - -3. Solve l*h = f - 14, -11 = -0*f + f + 3*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.47 and -3?\nAnswer: 6.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -11*s**5\/70 + s**4\/12 + s**3\/21 + s. Suppose z(r) = 0. What is r?\nAnswer: -2\/11, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*r**2*y - 5*r**2 - r*y - 79*r - 139*y + 26 with respect to r.\nAnswer: 26*r*y - 10*r - y - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11166013 (base 7) to base 12\nAnswer: -3abb21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12575513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 2*j**2 - 3*j. Let m(v) = -v. Let l(n) = -b(n) + 5*m(n). Suppose 4*t - 7 = 5. Suppose t = -2*f + 7. What is l(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(10)\/sqrt(2))*3.\nAnswer: -3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(360))\/sqrt(12))\/sqrt(10) + -5)**2.\nAnswer: 10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8051743?\nAnswer: 7, 1150249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.483 + -6.483. Let q be 3\/(-7) + 39\/189. Which is the third smallest value? (a) 5 (b) q (c) 3 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4)*n*n**(-1\/3))\/(n\/n**(3\/2)*n*n*n\/n**(-1)*n*n))\/((n\/n**(4\/9))\/n**(-4)*(n\/(n\/n**(-2\/5)))**(-17\/4)) assuming n is positive.\nAnswer: n**(-679\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, -3, 0 in descending order.\nAnswer: 0, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/42399 and -8\/1879689.\nAnswer: 5639067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 455\/6 - 76. Is f smaller than -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v**2 - 8. Let s(l) = -l**3 - 8*l**2 + 8. Let d(q) = -5*b(q) - 4*s(q). Let o(h) = h**3 - h**2 + 1. What is d(i) - 8*o(i)?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22 + -18)*1\/6*96. Solve -n*b = -542 + 158 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -134 - 2\/5*a**3 + 0*a - 3\/20*a**4 + 9\/10*a**2. Suppose w(u) = 0. Calculate u.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75042.51 months to decades.\nAnswer: 625.35425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.75197nm to kilometers.\nAnswer: 0.00000000000375197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -8*l + 3*l + 10, 0 = -5*l + 2*t + 22. Let a be (-51)\/60 - (-126)\/210. Is a >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 2. Let n(t) = 16*t**3 - 2*t**2 + 3*t + 111. Let u(i) = n(i) + 3*z(i). Differentiate u(o) with respect to o.\nAnswer: 48*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 5*a**2 - 2*a - 576. What is w(0)?\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:34 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4190 is divided by 1391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -66, -192, -380, -630, -942, -1316, -1752?\n\"Answer: -31*r**2 - 33*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*n = 67*n + 12. Let o(w) = w**2 + 30*w - 108. Let q be o(n). Solve -3*t + 3*a - 10 = -34, 0 = -4*t + 3*a + q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6310 + -2673. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1026b72 + -4?\nAnswer: -1026b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -47333 (base 8) in base 6?\nAnswer: -233243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 3*p - 55754818*p**2 - 2*p + 55754353*p**2.\nAnswer: -465*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 - 331. What are the prime factors of 2\/(-3) + c\/(-6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 434 - 404. What is the greatest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.448044 rounded to 1 dp?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -11. Suppose 0 = -5*i + 6*p - 2*p + 69, -p = i - 12. Suppose j = -0*j + 3*t - 5, i = -4*j + 5*t. Which is the nearest to 0? (a) v (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*s - 124*s**3 + 13*s**3 + 3 - 17*s**3 wrt s.\nAnswer: -768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j + 261. Let a be r(-37). Solve l - y = 7, a*l + 2*l = -y + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -67*l**4\/2 + 6999*l**3 - 737563*l**2\/2 + 334776*l + 27040 = 0. Calculate l.\nAnswer: -5\/67, 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence accg when four letters picked without replacement from uglcucggouacgcgg?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = 905 + 5802. Let r = w - 210. Let n(k) = 13*k**2 - k - 1. Let l be n(-1). Calculate the highest common factor of r and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 6:12 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 27 + 40 + 4961*a - 5.\nAnswer: 4961*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 43 (b) -28 (c) -2\/17 (d) -0.4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - w - 9, 3*l + w - 3 = -2*w. Suppose -7*i = -l*i. Let u(y) = y - 7400. Let p be u(i). What is p rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-17 - -47) + -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 2*z + 2130. Suppose 0 = -7*t + 6*t. Let b be a(t). Round b to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/21*29400\/(-560)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.13 (b) 25 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -34*k**2 + 972*k - 20. List the prime factors of h(23).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -101*a + 291. Let r(c) = 209*c - 582. Let s(q) = 5*h(q) + 3*r(q). Is s(6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**6\/120 - j**5\/20 - 5*j**4\/24 + 5*j**3\/6 + 2*j**2 - j. What is the units digit of u(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92404*v**3 - 1015709*v**2 + 2*v?\nAnswer: 554424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, p: 2, y: 1, g: 1}. Give prob of picking 2 p and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*m + 7 = -0, -4*b = 4*m - 16. Suppose -4*h - 10 = -3*r + 32, 0 = -b*h. Let x(q) = -5*q - 3. Calculate the remainder when x(-6) is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = i - 2. Calculate the greatest common factor of i and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 7*g**2 + 3*g - 7. Suppose -20*n + 21*n = -16. Let m(j) = j + 22. Let z be m(n). Does 16 divide x(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 13*o**2 + 1. Suppose 29*x = 32*x + 12. What are the prime factors of z(x)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 6. Let n = l - 130. Let o = n + 118. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, 22, 32, 26, -2, -58, -148, -278?\n\"Answer: -x**3 + x**2 + 24*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 80529*t**3 - 3*t**2 + 83*t - 262. Is s(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 64\/7, -3, 0.4, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6*k + 40. Suppose -9*c + k*c - 3 = 0. Factor 1\/2 + 1\/2*h**c - 1\/2*h - 1\/2*h**2.\nAnswer: (h - 1)**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 w, and 1 a when four letters picked without replacement from {a: 3, w: 5, x: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 38884. Let k(q) = -q. Determine d(k(f)).\nAnswer: -f + 38884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330156 and 1374?\nAnswer: 75605724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -239.15 + 244. Let u = b + -0.85. Put 5, u, 0.3 in decreasing order.\nAnswer: 5, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (4 + -4 - 3). Suppose -3*w = -w - 2. Which is the third biggest value? (a) 4 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2041029 and 2041029?\nAnswer: 2041029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 1 (c) -475 (d) 0.1 (e) 1\/3 (f) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 4. Let q(g) = 8*g - 131 - 35*g + 16*g + 4*g. Let v be q(-19). Solve 3*o + 2*p = -9 - 7, 0 = -4*o - v*p - t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/2600 and 161\/90?\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z - 38. What is c(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3607486, -3607488, -3607490, -3607492, -3607494, -3607496?\n\"Answer: -2*t - 3607484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 10 = -5*y, 0*v - y = 4*v - 2. Suppose v = 21*u - 30*u + 162. Calculate the remainder when 104 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -m - 32. Let k = 274 + m. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -7) + -16 + 24 + -19?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2340 divided by -120.\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2 + 1 - 3 + 8*p + 1. Calculate y(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 60a - 76?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 56. Suppose -n*s = -4*s. Suppose -5*g - c + 295 + 100 = 0, s = -3*g + 5*c + 209. Is 27 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00126502 rounded to 5 dps?\nAnswer: 0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 14 = 4*b, 347 - 361 = 5*z + b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 5*i**2 - i - 1. Let b be x(-5). Suppose 0 = -3*s + s + b. Let o(p) = -4*p**2 + 3*p. Determine o(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528 = -17*m - 443 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -38, -86, -154?\n\"Answer: -10*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 299603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/7 + 48*n**2\/7 + 3018*n\/7 + 424.\nAnswer: -2*(n - 53)*(n + 1)*(n + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115 - -6866329.044.\nAnswer: 6866444.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aastasasast. What is prob of sequence asas?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + d. Suppose -t - 2*t + 9 = d. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 5*n**2 + 5*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -235957, -471907, -707857, -943807, -1179757, -1415707?\n\"Answer: -235950*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 4 = -n - u, -5*n = u + 22 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4251 (base 7) in base 4?\nAnswer: 113202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35052 (base 7) to base 9\nAnswer: 13250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102121101000 + 21101?\nAnswer: -102121002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 352 + -295. What is u rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26.8141 days?\nAnswer: 38612.304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3309512 meters in nanometers?\nAnswer: 330951200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -2\/17 (c) -0.3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*y + 11*y + 3*y)*(115*y - 115*y - 9*y**3) - 4*y**4 + y**4 + 5*y**4 - y - y**4 - 3*y**4 + 3*y**4 + 2*y**4 - 5*y**4 + 2*y**4.\nAnswer: 216*y**4 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 - 109 + 26*y - 14*y - 21*y.\nAnswer: -9*y - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 325 = 5*y + 3*g, 4*g + 4 = 0. Let d = y - 66. Suppose i + 1 - 7 = d. Solve -i = -3*v + v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyo when three letters picked without replacement from cgyioccjcogi?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-42) + -9*19757\/(-4347). What is the greatest common divisor of u and 20418?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1700, 1922, 2144, 2366?\n\"Answer: 222*m + 1478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 116994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 1983018 - 7438*b - 43637*b - b**3 - 1932393 + 451*b**2 = 0.\nAnswer: 1, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aajjiaxaxxxjaia. What is prob of picking 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-9))\/(1\/72*8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6551.4 - 6531. Round p to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1536 = 5*w + 441. Let t be (w + -19)*(-1)\/(-2). Calculate the highest common factor of t and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 2\/3505059657?\nAnswer: 2\/3505059657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75 - -86 - -26) + -98.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011220211 (base 3) in base 8?\nAnswer: 123710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-15)*-3)\/(3\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8269521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24730120.\nAnswer: 2, 5, 618253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3277475 rounded to 3 dps?\nAnswer: -0.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 16 = -s. Let k(t) = -4*t - 7. Let n be k(s). Suppose -5*u - n = 0, 0 = a - 5*a + u + 25. Let l(v) = -v - 2. Determine l(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -968*c**2 - 288*c - 1694118 wrt c?\nAnswer: -1936*c - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -2*z. Let v(w) = -1. Let k(i) = -3*i - 2. Let u(q) = z*v(q) + k(q). Let p(h) = 3*h**2. Determine u(p(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - (1 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {r: 2, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000795 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -281195262*t**4 - 246137663*t**2.\nAnswer: -6748686288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.14 and -96.\nAnswer: -95.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 20 = 0, -93*n + 10 = -95*n + 3*m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3, 3*d - 26 = -2*k + 3*k. Let r = 22 - k. Suppose -r = -4*u - 17. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 317\/72 - 43\/9. Which is the third biggest value? (a) -8 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -3047612?\nAnswer: 3047620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 0*h - 13 = -4*h, 0 = -k - 3*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 757648 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 1170372?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.7 - 12. Let q = -0.28 - r. Let i(y) = 2*y + 21. Let p be i(-10). Which is the nearest to 1? (a) -4 (b) q (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18609*s + 18626*s + 11 = 4*d, 0 = -4*s + 3*d + 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*h**3 + 2*h**3 + 3*h**3)*((1 + 0 - 2)*(102*h - 261*h + 88*h) + h + 2 - 2) to the form u*h**4 + s*h + r*h**3 + w + j*h**2 and give u.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -25\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2851422?\nAnswer: 2, 3, 7, 67891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*i + 88. Suppose -340 = -i*j + 7*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -14*m + 67 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7*q + 16 = 0. Let i = 10 + -6. What is the remainder when q is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197 + 31. Let k = y + 167. Sort -4, k, -2, -9 in descending order.\nAnswer: k, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.022 - -6.428. Let k = 0.18 + -7.18. Let l = k + c. Round l to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4491? (a) 3 (b) 4\/7 (c) -4 (d) 2\/3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3 - p**3 + 5 to d*p + k*p**3 + q + t*p**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p**2 + 19*p - 2. Let n(w) = -5*w**2 - 10*w + 1. Let a(y) = -4*h(y) - 7*n(y). Is a(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**5\/10 - 20*o**2 + 38*o. Differentiate y(p) with respect to p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 7*z**2 - 8*z + 9. Suppose 5*n + 0*n + 3*r - 22 = 0, -2*n = r - 9. Suppose 0 = -3*l - 2*k + n*k + 18, -l + 5*k = 2. Give g(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1212 times 236\nAnswer: -286032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*f + 18, 5*v = -2*f + 7 + 14. Factor 2\/11*r**4 - 16\/11*r**f + 0*r + 36\/11*r**2 - 54\/11.\nAnswer: 2*(r - 3)**3*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*(-18)\/(-36))\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2261\/133)\/(1\/(-3))*2\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 217924297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11034*s**2 + 220*s - 14184106 wrt s?\nAnswer: -22068*s + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 113280 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, a: 7}. Give prob of sequence eaaa.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l - 5. Let g be k(5). Let u = g + -18. Calculate the remainder when 23 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219 + 212. Let n be (r\/35)\/((0 - 1) + 2). Which is the smallest value? (a) n (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqtqqoxotqx. What is prob of sequence xqqx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198313, 198311, 198309?\nAnswer: 198307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**2\/c)*c**8)\/(c\/((c\/c**(-2\/5))\/c))**(-8\/5) assuming c is positive.\nAnswer: c**(199\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4.23+35\nAnswer: 30.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 33*l + 32*l = 1377, -4*l = q - 1387. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = -15*w + 902. Suppose 4*v = y + 716, 2*y - w = 4*v - 800. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135571 divided by 57?\nAnswer: -135571\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145 + -147. Let v be ((-12)\/(-252)*36)\/(k\/7). Sort 1, v, 23.\nAnswer: v, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42465746*-3.\nAnswer: 127397238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2364 is divided by 477?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 2, m: 1, a: 1, n: 1}. Give prob of sequence my.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*c + 1 + 5*c)*(5 - 5 - c**2).\nAnswer: -c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46099 + -23276. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6*q - 2 = 0. Let r(v) be the first derivative of 15*v**4\/2 + v**3\/3 + v**2 + v - 23301. Calculate r(q).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1950 and 25350.\nAnswer: 25350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4 + 18 - 9 - i**2 - 15*i - 6. Calculate t(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u + u - 36. Calculate the remainder when u is divided by ((-4)\/5)\/((-3)\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 599*p**2 - 438 wrt p.\nAnswer: 1198*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111368 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 2 - 4*u - 2*u + 4*u. Let q be h(2). Let w(f) = f**2 - f**2 + 0*f**q + f**2. Let p(d) = 2*d. Determine p(w(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iff when three letters picked without replacement from fwffccbwwbfbbiffb?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, -4, -9\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 11:17 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 875 and 3822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1367*l**2 - 60*l + 22*l - 1359*l**2 + 20*l + 18*l.\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -518*q**4 + 2*q**5 - 6*q**3 + 510*q**4 + 0 + 0 - 28*q**2 - 32*q**3.\nAnswer: 2*q**2*(q - 7)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(114)\/(sqrt(6) - (sqrt(12)\/sqrt(2) - sqrt(6))))**2 - (-2 + ((sqrt(1900)*1)**2 - sqrt(1900))).\nAnswer: -1917 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + -0.32. Let x = 163.5 - 163. Which is the second smallest value? (a) x (b) v (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (1 - -6) - (-1 + 1023). Let b = 2004 + s. Suppose -2*v + 495 = 3*d, -12*d + 7*d = 4*v - b. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 350 = 2*k - 7010, 4*v = 8. Which is greater: 3675 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2848 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 - k**3 - 2*k**4 + (k + k - 4*k)*(0*k**3 + k**3 + 0*k**3) + (-7*k**2 + 3*k**2 - 4*k**2)*(9*k - 4*k + 0*k)*(3*k + 2*k - 3*k).\nAnswer: -84*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 8*p**2 - 20*p - 5. Let f be d(-10). Let m be (-273)\/(-65) + (-2 - 9\/f). Let -1\/3*j**2 + 1\/3*j + 1\/3*j**m + 0 - 1\/3*j**3 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104.1 + -96.93. What is v rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c + 3*n + 17 = 0, 0 = 5*c + 4*n + 2. Suppose 3*v - 28 = -2*h, 55 + 15 = 5*h - 5*v. What is the highest common divisor of c and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -384 + 384 + 121*v + (-4 + 0 + 2)*(-v + 6*v - 4*v) - v + 1 - 1 to the form o + f*v and give f.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkwwwwwwwkw. Give prob of sequence kw.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 480*b - 3291. Let k be o(-7). Let r(s) = -s**3 + s**2 + 1. Let x(n) = -8*n**3 + 10*n**2 + 10. Give k*r(f) - 2*x(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 57*b**2 + 231*b - 722. Let n be o(53). Solve 69*a + n = -60 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b9e (base 16) to base 9\nAnswer: -28488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 2, -1, -2046 in ascending order.\nAnswer: -2046, -1, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzwtplzpzzplpzpzzzyp. Give prob of sequence ylt.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 + 5*h**5 + 0*h**5 + (-1 + 0 + 0)*(3*h**5 - 272*h**5 - 57*h**5).\nAnswer: 328*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1628 + -1628.5. What is the closest to -0.5 in y, -3, 10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 28 = 2*s - 4*n, -s + 2 = n. Let d be 4\/((-16)\/20)*(s - 5). Solve 4*g = 5*l - 33, d*g = l + 2*g - 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-9 - (-11 - -2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111 (base 2) to base 4.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/13 - 236*l\/13 - 1344\/13.\nAnswer: -2*(l + 6)*(l + 112)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -1\/35*u**5 - 78*u + 1\/7*u**4 + 4\/7*u**3 + 0 - 16\/7*u**2. Factor j(n).\nAnswer: -4*(n - 4)*(n - 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2\/2 - 258140*f.\nAnswer: -5*f*(f + 103256)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*c = -0*c - 6, 0 = -5*i - 3*c + 6. Solve -3*z - 3 - 3 = i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 75 = 5*z, 5*z + 2*i = -0*i + 75. Calculate the highest common divisor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l + 3. Let u(h) = -15*h + 12. What is 8*a(n) - 3*u(n)?\nAnswer: 5*n - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/88, -52\/7, 4, -2 in decreasing order.\nAnswer: 4, -1\/88, -2, -52\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 9. Calculate m(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(75) + -1 + 5) + (sqrt(147) + 0 - sqrt(147))*-6*-4)**2*6 + 3.\nAnswer: 2160*sqrt(3) + 4917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 55*t + 8. Let s be y(-24). Let u = -107 - s. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/65 in -4, 1.5, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 3\/4 (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.299 + 38.199. Let w = 38 - p. Let c = 2 + -3. Sort 0, c, w.\nAnswer: c, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9382 - 9347. Calculate the greatest common factor of 1904 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*x - x + 22, 55*x = 4*z + 51*x - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 1 - 14. Let h(q) = q**3 + 5*q**2 + q + 3. Calculate h(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p**2 - 21*p - 23. What is h(-8)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(12\/5) - 0. Let x = -5719\/117 + 881\/13. Let y = 56\/3 - x. Which is the biggest value? (a) 1\/8 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i**4 - 7365*i**3 - 4265379*i**2 - 489140883*i - 324200382 = 0. Calculate i.\nAnswer: -209, -2\/3, 1237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -260535800 rounded to the nearest one hundred thousand?\nAnswer: -260500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 smaller than 1\/132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = 3*d, -4*d = 4*c - 71992. Round c to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(-3) - 9)\/(4\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2628 or -2630?\nAnswer: -2628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -0.14685\nAnswer: 0.0014685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 0 + -1 + sqrt(704))**2.\nAnswer: -32*sqrt(11) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38594?\nAnswer: 2, 23, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (128 + (-3 - 1)) - (-7404 - -7395).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2265666862.\nAnswer: 2, 1193, 949567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:24 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7414.6654 rounded to the nearest 10?\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/5 - 34*q**3 - 1712*q**2\/5 + 376*q = 0 for q.\nAnswer: -10, 0, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2472)\/721)\/(9\/(-84))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - k = -5*x - 40, 5*x - 7*k + 65 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 837*y**3 + 828*y**3 - 8*y + 3*y.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(210) + sqrt(210)*-2 - sqrt(210))\/sqrt(7) - sqrt(30))\/(2*sqrt(128) - sqrt(128)))\/(((sqrt(48) - sqrt(48)*-1) + sqrt(300)*1)*-5))**2.\nAnswer: 1\/11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8685 - -8794. Solve -155 - c = 66*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -3. Let d = -42.95 - y. Round d to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*f = 3*d - 34, -3*f = -3*d - 87. Suppose 0 = -b + 32 + 13. Let k = b + d. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i. Let c(a) = -3*a + 47. Calculate g(c(n)).\nAnswer: 15*n - 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 7. Suppose 0 = 3*t + 3*a - 9, 3*a - 16 = -1. What is h(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -38. Let y = -29 + g. Let m(a) be the first derivative of a**3\/3 - a**2\/2 - 5*a - 2. Give m(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38778 is divided by 12917.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/(-185)*1840\/24.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1557 = 4*w, -9*f + 14*f + 3*w - 1536 = 0. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 12*u**2 - 12*u + 7. Let z be r(11). Let k be (-2)\/z*(-4 + 4). Suppose -160 = -4*c - k*c. What is the greatest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 26*p**2 - 25\/2*p**3 + 0*p + 7\/24*p**4 + 0. Let f be g(9). Which is bigger: f or -15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68084839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2445 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7792846cm in nanometers?\nAnswer: 7792846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 10:00 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -566*o**2 - 564*o**2 - 1406*o + 1129*o**2 in the form u*o + r + l*o**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 1687*m - 67485. What is r(-41)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -f - f. Suppose -f = -9*l + 4*l. Suppose 5*u - l + 5 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = 5*x - 4*j, 4*j - 6*j + 265 = -15*x - 60 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.017 + 0.0169996. Round w to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 634296 and 13312.\nAnswer: 81189888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b - 2. Let y(x) = 7*x + 161600. Calculate y(u(o)).\nAnswer: 28*o + 161586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15313 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 6*y - 13. Suppose 2*m = 1 + 15. Let s be p(m). Solve 2*a = 3*a + s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*y = 77*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -4, 4, -20.\nAnswer: -20, -4, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*3)\/((-3)\/(-4)*-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/((-7)\/42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (651\/84)\/(1\/24). Let p = v - 174. Calculate the least common multiple of p and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 + 0*r**2 + 0*r**2 + 0*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 2*-1)\/2. Let a(u) = -2 + 5 - 2 - u**3. Let r be a(d). Solve 0 = -2*i + b - 2 - 3, -2*i - 5*b + r = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/5, 2017596, -17\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/132 and 95\/80916.\nAnswer: 80916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22270 is divided by 22149?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 3:28 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/5 at least 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + ((-6)\/(-18) - 16\/(-24)). Let n(f) = -33*f**2 - 4*f + 3. Calculate n(s).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -8. Which is the nearest to -0.1? (a) -0.5 (b) -4\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 12) in base 8?\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + (-6)\/18. Suppose 0 = 5*l - l - 2*x - 12, 5*x = 10. Suppose l*p + v*p = 16. Calculate the least common multiple of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -2\/9, -5, 21, -0.041?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -2\/5, 0.27, -50, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*j - 1462 = 0, -b - 8*j + 355 = -7*j. Calculate the lowest common multiple of 4 and b.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14)*42\/6. Suppose 2*u = w + 4. Is 69\/u*1 - -1 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -180 and 0.5?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5*(33\/(-132))\/((-69)\/4140).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 20 = 12*y. Solve 24 = -3*o - y*c, o + 5*c + 18 = -0*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2580*b**2 - 301*b. Let a(v) = 43*v**2 - 5*v. Calculate 301*a(m) - 5*u(m).\nAnswer: 43*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1073*r + 217*r - 1019*r)*(-4*r + 4*r - 2*r) to k + t*r + g*r**2 and give g.\nAnswer: 3750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -84*r + 16128. Solve m - 227 = -r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfcljggfkjk. What is prob of sequence kg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 204 = 5*t. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 0.3?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*2 + sqrt(1008) + -3)**2.\nAnswer: -216*sqrt(7) + 9081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -15. Calculate the remainder when y is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 45 - 70. Solve 2*x = w + 1 - 0, r*w - 4*x - 13 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0 - 125. Let o = 31773 + -31778. Sort 4, o, n.\nAnswer: n, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5 - 23286*m**4\/7 - 307176*m**3\/7 - 452776*m**2\/7 + 618624*m + 1267200\/7 = 0. What is m?\nAnswer: -1650, -8, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d + 6*d + 7*d to j + l*d and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 + -108. Suppose 174*c + o = 179*c. Calculate the greatest common factor of 6 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(192))**2 + sqrt(192) + 0) + 3 + -2 + 4.\nAnswer: 24*sqrt(3) + 2309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 331, 7018 in decreasing order.\nAnswer: 7018, 331, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**5\/70 + 4*q**3\/21 - 3*q + 5. Let k(r) be the first derivative of u(r). Suppose k(m) = 0. Calculate m.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 325352 + 155?\nAnswer: 325517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 8*n + 28 + 31*n + 42.\nAnswer: 39*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 1168?\nAnswer: 12848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24825 + -24836.133. What is f rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13*q - 1. Let n(f) = -6*f - 1. Give -3*g(v) + 5*n(v).\nAnswer: 9*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*d - 6, 0*d + 4 = 4*d. What is the least common multiple of (-3)\/2 + 14\/4 and 2 + 0 - (u - 11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171 divided by 3248181.\nAnswer: 19\/360909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*j**2 - j**2 + 19*j**2)*(-3*j**2 + 3*j**2 + 2*j**2) - j**4 - j**3 + j**3 as m*j + n*j**2 + u*j**3 + p*j**4 + z and give p.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + x + 4 - 11.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c = 48*c + 12, 0 = -5*k - c - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 374899448, 374899449, 374899450?\n\"Answer: q + 374899447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 69*s + 15*s**2 + 69*s to the form a*s + q + u*s**2 and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130200 and 50?\nAnswer: 130200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 divided by 4.\nAnswer: -121\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010100101000 (base 2) in base 8?\nAnswer: -22450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 19*z + 20. Let j be s(18). Let a(o) = 8*o**2 + 6*o**j - 13*o**2. Let h(i) = -5*i. Calculate a(h(l)).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15408 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -2\/7 (c) 9 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 8*v - 15. Which is the nearest to -1\/3? (a) v (b) -3\/7 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15387409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(((-243)\/18)\/3 - -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3*w - 82*k**3 + 21*k**2*w**2 - k**2*w with respect to w.\nAnswer: 2*k**3 + 42*k**2*w - k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*sqrt(19) + sqrt(19) - (sqrt(228)\/sqrt(48))**2.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78367*j = -74430*j - 295275 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 6 - 18 = c, 37 = -5*s - 3*c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 697774397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1080 + -197?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - d. Let t be c(1). Let v be -10*((-36)\/(-20))\/t. Suppose -i + 36015 = 5*f, -5*i - f + 179985 = -v*f. Round i to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1 + 3 - 9 + 6*t - 7*t. Let y be k(-7). Let d be 4 + (-1 - y - 2). Is d < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*a - 17, -29 = 2*o - 37 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 8. Let r(w) = a*w - 2*w + 15 + w**2 - 3. What are the prime factors of r(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 25\/2*u + 5.\nAnswer: 5*(u + 2)*(2*u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10764 and 9.\nAnswer: 10764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 345.4 + -316.47. Let o = 36 + -7. Let r = o - m. Which is greater: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8739 and 51387262?\nAnswer: 462485358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzp when three letters picked without replacement from vzvlklzllpvpzzlzll?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 404042 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10 + 1 + 10*g**2 + 5*g**3 + g**2 + 8*g**3. Let y(d) = 7*d**3 + 6*d**2 + 6. Let j(u) = u**2 - 9*u - 11. Let l be j(9). What is l*y(o) + 6*x(o)?\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*2*-6 + 4)**2.\nAnswer: -672*sqrt(3) + 21184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66 or 269\/4?\nAnswer: 269\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 20 = 5*d - 3*x, d - 4 = -x. Let i = 16 + d. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*d*l - 20521*d + 238672*l wrt d.\nAnswer: -14*l - 20521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 7832132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/13576899 and 29\/15516456.\nAnswer: 108615192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-66))\/10*2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -o + p - 16, -134 = 4*o - 2*p. Let g = o - 0. Let s be (-3)\/2*g\/6. Solve -2*n = -6*n - s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1701168, -1701164, -1701156, -1701144, -1701128, -1701108, -1701084?\nAnswer: -1701056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -302*w**2 + 2724*w - 48. Determine k(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 39.91548012?\nAnswer: 40.41548012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5667 is divided by 164?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432267?\nAnswer: 3, 11, 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**6\/180 - 7*q**5\/120 + q**4\/24 + q**3\/2 + 4*q. Let i(j) be the second derivative of f(j). Is 18 a factor of i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*u - 4, 3*k - 5*u + 17 = 7*k. Suppose 0 = k*q - 6*q + 10821. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -10, -2\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -10\/71, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2264*a**3 - 786 - 1387 - 2465*a**3 - 2521 wrt a.\nAnswer: -14187*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6\/7, 4, -8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4*r - 397 + 179 = 86, -5*o - 18*r + 1414 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -160?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -11.89356?\nAnswer: 5.94678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 2*y - 16, 4*w - 454 = 4*y - 498 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4\/7 + 794*j**3\/7 + 8556*j**2\/7 - 2393208*j - 16774128 = 0.\nAnswer: -258, -7, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 49*d + 31. Determine k(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**2*((q**8\/q)\/q*q)\/q*(q\/(q*q**(-1)))**(-43)*q**(-3)\/q*q*q**(-4\/5)*q*(q\/((q*q**3\/q)\/q))\/(q**(-2)\/q) assuming q is positive.\nAnswer: q**(-179\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 180*q**2 - 5 + 8521*q - 8522*q as w + u*q**2 + d*q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 101133302?\nAnswer: 101133231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -3*y + 47, 3*n + 4*y - 52 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 = -2*w. Let i(b) be the second derivative of -1\/15*b**6 + 0*b**4 + 0*b**3 + 1\/2*b**w + 0 + b + 0*b**5. What is the first derivative of i(o) wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, 10, 37, 84, 157, 262, 405, 592?\n\"Answer: k**3 + k**2 + 3*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 417, -2, 9, 4 in descending order.\nAnswer: 417, 9, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.27? (a) 1\/4 (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*h**3 - 3*h**2 + 42*h + 26262 wrt h.\nAnswer: 18*h**2 - 6*h + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 6:32 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -11. Suppose -w + 82 = 2*b - 16, -5*b + d*w = -256. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.312 + 0.812. Which is the nearest to -1\/3? (a) -2\/7 (b) -0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 - 3 = 0, -3*z + 16 = -2*x. Suppose 4*y = z*y - 5*q - 1972, -5*y - q = -4984. Suppose 193 - y = -11*p. What are the prime factors of p?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0172 + -0.0712. Let f = q + -0.118. What is f rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 76 = -4*c. Suppose -5*j + 29 = 2*k, -5*j = -k + c + 33. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 7 - 3)*(-1 - 2 + 1)*(5 - 1 - 2)*(r - 5*r - 7*r) - 4 + 8 - 3 - 19*r as g + p*r and give p.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -195 - -113. Let a = w - -42. Let q = -40.3 - a. Which is smaller: -1\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 632 - 660. Suppose h + 2*h + 24 = 0. Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -12344762 in descending order.\nAnswer: 4, -7, -12344762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213 or 8720\/41?\nAnswer: 8720\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j - 16 = -10*j. Let c be 0 - (-1)\/(j\/(15\/(-3))). Suppose 2*m + 471 = 4*m - r, 0 = -3*m - c*r + 713. What are the prime factors of m?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 2*t + 52. What is the lowest common multiple of 264 and c(6)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrewwwwemwxw. What is prob of sequence emr?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.188682849 rounded to 4 decimal places?\nAnswer: -1.1887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52660312*s**5 + 198110*s - 10?\nAnswer: 1053206240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 15*l**2 - 26*l + 15. Calculate t(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1447529799?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -936?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19333 smaller than 522011\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, 0.17, 1\/3.\nAnswer: -2, 0.17, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.01 - 0.01. Let s = -5 + q. Which is the closest to 0? (a) -0.4 (b) -2\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596\/403 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 5. Let n(g) be the second derivative of -g**5\/20 + 13*g**4\/12 - 5*g**3\/3 - 19*g**2\/2 - 2*g + 25. Let h be n(12). Calculate c(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47.0000036 + -47. Round p to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 8. Suppose -36 = -k*w + 3*u, -4*u + 6 = -2. Suppose -2*b = -w - 6. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**6\/30 + 5*f**2\/2 - 4*f. Differentiate x(n) wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4 + 37530*y**3 - 69946985*y**2 + 38623494240*y - 76967500700 = 0. Calculate y.\nAnswer: 2, 1237, 5030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r + 16 = 0. Suppose 0 = -12*p + 679 + 2021. Suppose p = 2*a + 3*y, 338 = -34*a + 37*a + 5*y. What is the remainder when a is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010211 (base 3) in base 7?\nAnswer: 11542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 6*t - 4. Let x be y(-3). Solve -3*u + 2*u = x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-6 - (3 + -9)) + -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - j. Let y be h(1). Is y\/(-1 - 1) - -211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183 is divided by 57.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 233 + -43. Let c = 272 - w. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59420 is divided by 71.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -c - 4*y, 4*y - 1576 - 1583 = -2*c - 4737 + 1594 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**4*r + 44525*f**4 - 2*f - 28813*r + 24 wrt f?\nAnswer: 8*f**3*r + 178100*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 4:31 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -733 + 2188\/3. Sort 0, f, -1, -1\/3 in descending order.\nAnswer: 0, -1\/3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2275 = 2731*s - 1386*s - 1370*s. Let w = -61 + 113. Calculate the greatest common divisor of s and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 8. Suppose -2*p - 5*u + 1018 = -w*u, -4*u - 509 = -p. What is the second derivative of -2 + 525*z - 17*z**2 + 2 - p*z wrt z?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9 (base 12) to base 13.\nAnswer: 9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -2.2?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgzg when four letters picked without replacement from zgzgggagzgzzg.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -165, 85, 809, 2247, 4639?\n\"Answer: 40*p**3 - 3*p**2 - 21*p - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440 divided by -119137.\nAnswer: -440\/119137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 523, -16, 49\/8?\nAnswer: 49\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from jazjlaccjca?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**2 - 23*x + 6*x + 15*x as l + i*x**2 + g*x and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 228 = -5*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -4, -4\/3, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l + 20. Suppose 40 = 12*s - 8. Let v be q(s). Let d(h) = -22*h. Let t be d(-1). Solve 2*u = u + o + 8, -u - 5*o - t = v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 17*y + 698, -y - 309*r = -308*r + 38 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -d?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h + 79. Let k be c(-8). Let l(n) = 20*n**2 - 23*n + 19. Let f(a) = 9*a**2 - 11*a + 9. Let u(d) = -9*f(d) + 4*l(d). Give u(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -293*j**2. Let r(t) = -2*t + 38. Give r(q(a)).\nAnswer: 586*a**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2. Let f(q) be the third derivative of -43*q**7\/1680 - 2*q**5 - 4*q**2 - 3. Let k(p) be the third derivative of f(p). What is d(k(z))?\nAnswer: 16641*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45\/(-27) + 17\/3. Suppose a*p = -5*p + 10*p. Solve -2*u + 0*u + 2*i = p, -9 = 2*u - 5*i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 7*w - 18, -9*s = -126*w + 249*w - 122*w + 86 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o + 7*o = 22 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times -170.429\nAnswer: 204.5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (20\/15 + 38\/(-6)). Let q be (3\/(-6))\/(-1)*2\/t. Solve -q*n**3 + 0 + 0*n + 1\/6*n**2 + 1\/6*n**4 = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 9*m + 2. Let u be x(-9). Let y(g) = 2 + 2 - 5 - g**u + 0*g**2. Let z(r) = -3. Let t(h) = -3*y(h) + z(h). Let n(l) = -l. Determine t(n(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.4 + -15. Let v = -0.6 - r. Let h = -2.5 - v. Which is the closest to -0.1? (a) -6 (b) -1\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -0.5, 733?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**3 - 66*n**2 + 7599*n. Let i(v) = -2*v**3 + 12*v**2 - 1519*v. What is 11*i(o) + 2*s(o)?\nAnswer: -4*o**3 - 1511*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 - 25*z + 14. Give y(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -95c5 (base 13) in base 5?\nAnswer: -1131104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1935 is divided by 74?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 1\/47, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4) - (-4 + 2448\/704)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -221 greater than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99\/2 + -1877\/38. Let v = 16583 + -16585. Let x be 14*2\/(-16) + 1. Sort a, x, v.\nAnswer: v, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110210 + 222100212?\nAnswer: 1000211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01578 - 0.41578. Put -1, 2, 0, i, -0.1 in ascending order.\nAnswer: -1, i, -0.1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 8:32 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*m - 33. Let q = 25 - m. Put -3, 5, q in ascending order.\nAnswer: q, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244047047.\nAnswer: 41, 5952367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20 - 14878\/731)*(-1 - 2\/(-3)). Let w = -53 + 103\/2. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rssllsll. What is prob of sequence sr?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w. Suppose 0*u - 72 = -3*u. Let p = u - 22. Let l(i) = 0*i**p - 4*i**2 + i**2. Calculate q(l(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*n**5 + 8*n**3 + 2*n**2 - 251*n?\nAnswer: 7320*n**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2560 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*b + 231, 4*m - 3*b = -2*b + 237. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**3\/3 + w**2 + 2*w - 4. Let f be y(4). Calculate the common denominator of 2 + 67\/f*1 and 111\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**2 - 15*a**4 + 6*a**2 - 2*a**4 + 3*a**4 - 2*a**4 - 2*a**3 + 2*a**3 - 2*a**4 + (4*a**4 - 4*a**4 + 2*a**4)*(2 + 1 - 5) - a**4 + 0*a**4 + 2*a**4.\nAnswer: -21*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.12425mm in nanometers?\nAnswer: 56124250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 57\/18 + (-7)\/42. Suppose 2 = 5*d - o + y*o, -2*d = o - 1. Is -7 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5688059.\nAnswer: 13, 437543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(2\/63*-3). Let j = -61 - t. Suppose 3*q + 4 = 1. Let x(b) = -3*b**2 - 2*b. Let l(r) = -r. Give j*l(g) + q*x(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -57800, -57631, -57358, -56981?\n\"Answer: 52*a**2 + 13*a - 57865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -669356344.\nAnswer: -669356342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31827104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15515 (base 10) to base 3.\nAnswer: 210021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31.4? (a) 0 (b) 0.5 (c) -4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1551840 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a micrometer in nanometers?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 9:08 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccjcckhwc. What is prob of picking 1 c, 1 w, and 1 h?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 146 = -26*c, 24*c - 42*c - 5*s - 49 = -14*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 45351 + 0.5\nAnswer: 45351.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 34*s + 3*s**3 - 13*s + 35*s + 4 - 60*s. Give i(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/4 + 35*v**2\/4 + 653*v\/4 + 1617\/4 = 0.\nAnswer: -11, -3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + m - 21. Does 6 divide u(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (23 - 7) - 15. Factor 9\/2*b**4 - 1 + 13\/2*b**3 + b**5 - 3\/2*b + 5\/2*b**n.\nAnswer: (b + 1)**3*(b + 2)*(2*b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*v + 49*v = -98. Suppose v*x - 20 = 4*x + 2*t, 12 = 2*x - t. Solve c = d - 1, -x*d - 11 = -c + 2*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 35 = -3*c, 3*c - 2824*s = -2820*s + 25. Solve -c = -11*z + 15*z - y, -5*z + 4*y = 22 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(81\/(-6)) - 20290\/(-18). Suppose 0 = -10*k + 233 + m. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3\/8, -7, -3\/7, -125\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 783*r**6 - 3402*r**3 - 4*r**2 + 2165088*r wrt r.\nAnswer: 93960*r**3 - 20412","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -643*g**2 - 351. Let l(q) = -1284*q**2 - 704. Let f(b) = -7*c(b) + 4*l(b). Find the first derivative of f(w) wrt w.\nAnswer: -1270*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/(-2))\/((-3)\/(-6)). Let t = u - -45. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 - 6. Let u(n) = -n**2 - 9*n + 97. Let z be u(-15). Let w(l) = -10*l**2 + 18. What is z*x(d) + 2*w(d)?\nAnswer: d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 135324*y + 1526048748.\nAnswer: 3*(y - 22554)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a - 16*a + 14*a. Let z = -3 + 5. Suppose -3*k + 160 = 5*s - a*k, 0 = -3*s - z*k + 96. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - q. Let p(s) = -1 + 5*s**2 + 0*s - s**2 - 2*s. Let j be ((24\/5)\/(-2))\/(136\/340). What is j*i(y) + p(y)?\nAnswer: -2*y**2 + 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 1. Let r be (21\/(-2))\/((-6)\/4). Let z = o - r. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 5*n**2 - 4*n + 4. Let s be x(-4). Let r be 238\/26 - s\/26. Let c be (-8)\/(-36) + 25\/r. Calculate the highest common factor of c and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0450222766 rounded to 3 dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let f(c) = 5*c**2 + c - 7. Let g(w) = 14*w**2 + 3*w - 21. Let t(o) = -11*f(o) + 4*g(o). Calculate t(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1343\nAnswer: 3\/1343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*w**6 + 2*w**4 + 5*w**2 + 12*w.\nAnswer: -2400*w**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.648 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 -3032 - 1023311220?\nAnswer: -1023320312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/6946 - 1250241\/90298. Let m = -475\/39 - o. Let t = 0.05 - 0.15. Which is the second biggest value? (a) -5 (b) m (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 6*w. Suppose a - 5*m - 4 = w, -15 - 1 = -4*a - 5*m. Suppose 69 = a*k - k. What is the highest common divisor of 23 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 11. Let d be u(-10). Let p = 2 - d. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 45648*w**2 + 15351*w**2 + 15139*w**2 + 1 + 15119*w**2.\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -13704*i - 1164825. Give g(-85).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*m**2 + 0*m + 0*m - 5*m + 7*m as c + q*m + h*m**2 and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 764 + -759. Let l be (-63)\/(o\/(15\/(-3))). Solve -64*g = -l*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -23?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 62*a - 473. Let i be g(-69). Solve -i*k = k - 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 10*j - 39.\nAnswer: (j - 3)*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 41 + 24)*(-6*a**2 - 5*a**2 + 8*a**2 + (4 - 2*a - 4)*(a - 2*a + 2*a)) to the form y*a**2 + i + g*a and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131898 and 52599.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3180\/(-3339))\/(135\/(-252)).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.2657 - 0.1657. Round h to 1 decimal place.\nAnswer: 23.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 366088 * 769\nAnswer: 281521672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -499, -3960, -13347, -31618, -61731, -106644, -169315?\n\"Answer: -493*t**3 - 5*t**2 + 5*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 1aa8260?\nAnswer: -1aa8252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + -6 - (3 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0017 + 374.9983. Let o = -404.7 + h. Let x = -30.93 - o. Round x to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 30 = -7*i. Let r(v) = -v**3 - 5*v**2 + 6*v + 3. Let n be r(i). Suppose -2*a = a - 12. Sort a, 7, n in descending order.\nAnswer: 7, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 3 (c) -0.3 (d) 0.764 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f*o**3 - f*o**2 + 14*f*o - 13624*f + 1534151*o**3 wrt f.\nAnswer: -2*o**3 - o**2 + 14*o - 13624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 11. Let p be z(7). Let q(x) = 0*x + p*x + 7 - x - 2*x. Let g be 0\/((6 - 23) + 18). Give q(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3226*j - 3221*j. Suppose -d + 12 = -5*o, 8 = 2*d - o - o. What is the least common multiple of ((-4)\/3)\/(d\/(-3)) and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3415.\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Let w = 1536\/5425 - -2\/775. Let g be (-3)\/(-30)*(-3 + -1). Which is the closest to g? (a) w (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265.4479 years to millennia.\nAnswer: 0.2654479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 190 = 2*m, -6*f + 5*m - 275 = -f. Let s be (3 - 2)\/((-2)\/f). Suppose 3*g + 28 = 2*k, -5*k + 5*g = -40 - s. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004328022 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3924?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181036 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 12*q**2 + 19*q - 11. Calculate o(-9).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*((-38)\/4 - -4). Let m = 0 - j. Calculate the remainder when 40 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4 + 2. Suppose b*c - 14 = 4*z, 5*c - 5 = -4*z - 12. What is the first derivative of 2*g - 3*g + 6 - 3*g - c wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 19*w**3 + 60*w**2 + 12*w - 26. Factor k(d).\nAnswer: 3*(d + 2)*(19*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -11. Suppose -3*i + 2*w = -11, i + 2*w = 5*i - 14. Suppose 3*l - l = 4*z + 8, -i*z = -l + n. Solve l*g - c = -2*c + 5, 0 = -g - 2*c + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -13 (c) -186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 28*k + 2. Let s be x(1). Suppose 18 + s = 8*n. Suppose n*v = v + 215. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51362, 52416, 53460, 54488, 55494, 56472?\nAnswer: 57416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 593852807 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - ((-554)\/(-55) + -6). Is -1 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*l + 94*l - 40139 = 72*l + 6037 for l.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82837?\nAnswer: 82837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23706, -24075, -24444, -24813?\n\"Answer: -369*y - 23337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -15*n + 11*n + s, -s - 7 = 2*n. Let d be (-2)\/(-8) + n\/(-12). Which is the smallest value? (a) -1.9 (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 30*m**2 + 3*m. Let u(g) = 82*g**2 - 227*g**2 + 87*g**2 + 2*g + 0*g + 87*g**2. Calculate 2*o(d) - 3*u(d).\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 61*n**3 - 4*n**2 - 4*n - 2. Let d(c) = -60*c**3 + 6*c**2 + 5*c + 3. Calculate -2*d(m) - 3*i(m).\nAnswer: -63*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4, 0.129?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -106959 + 106959 - 280*s in the form u*s + z and give u.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j + 1. Let x be d(-6). Suppose -3 = -2*a - 1. Let b(c) = 12*c - 1. Let h be b(a). What is the highest common factor of x and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 286, 2, -2, -5, 96 in decreasing order.\nAnswer: 286, 96, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -187.5 + 190. Let h = i + -2.2. Which is the nearest to -4? (a) 0 (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81661, -326656, -734977, -1306624, -2041597?\nAnswer: -2939896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - 22490\/(-650))\/((16\/4)\/20)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**3 - 1280*u**2 + 17232*u - 29376 = 0. Calculate u.\nAnswer: 2, 12, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 - 0.1. Let t = -0.4 + v. Let w = -0.4 + 0.4. What is the second smallest value in -2, t, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*v**3 + 5*v**3 + 45*v**3)*(-v + 3*v + 0*v)*(0*v - v + 3*v).\nAnswer: 336*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.36 - 0.5. Let n = -0.991 + -0.449. Let g = n - a. Round g to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - 2*c)*(237*c - 237*c + 4*c**2) + 5*c**3 - 3*c**3 - 3*c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*h**4 - 1012*h + 1012*h)*(1 - 5 + 3)*(-h + 0*h + 5*h).\nAnswer: -256*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*t - 750864 + 751068 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 6*v**2 - 8*v - 5. Let l be f(-7). Suppose -36 = -l*h + o, -43 - 6 = -3*h + 4*o. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 505048?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044.6 minus -42?\nAnswer: -1002.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 1014, -30, -5 in decreasing order.\nAnswer: 1014, 47, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108 take away -1472?\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 2. Let l be j(1). Suppose -34 = 5*k + l*f, 0*k + 5*k - 4*f = -13. Let t = k - -11. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 5. Let g be h(-8). Let o = 9 - g. Does 10 divide 75\/4 - 3\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(2*r**2 - 4*r**3 - 2*r**2)*((1 + 1 - 1)*(1 - r - 1) - 3*r - 2 + 2) to the form g*r**2 + p*r + n*r**4 + s + j*r**3 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x + 22. Let g be v(-4). Is (-5)\/(4\/1858*g\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-207)\/15*90*(-19)\/(-1026)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 - (8 - 14 - 6). Put d, -418, -1, 4 in increasing order.\nAnswer: -418, -1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((152575\/75)\/(2\/6))\/((-7)\/(-14))?\nAnswer: 2, 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5761 (base 14) to base 6\nAnswer: -154133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 246, 0.5, 23?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - 4*sqrt(187)*-5)\/(sqrt(99)\/sqrt(1089)).\nAnswer: 231*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-110)\/(-4))\/5*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32240 divided by -8.\nAnswer: -4030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 218041.2ml in litres?\nAnswer: 218.0412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.5391*-3\nAnswer: 10.6173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 389773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, -1, 1\/5, -5, 5298?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*s - 63 - 2 - 27 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85815 rounded to the nearest 100?\nAnswer: 85800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 49. Which is the nearest to p? (a) 0.1 (b) 1\/6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1111110010101101111100?\nAnswer: 1111110010101101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154 - 149. Which is the biggest value? (a) 3\/7 (b) -0.1 (c) t (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -4\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*p + 59*p + 93*p + 40 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, 0.011355, -3, 0.5 in descending order.\nAnswer: 0.5, 2\/23, 0.011355, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 - 2*m**2 - 4*m + 6. Let i be p(1). Suppose -t + 5*t = 56. Solve 0 = -5*d - 3*w - t, -4*d - 8 - 5 = i*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200200212121 (base 3) to base 16\nAnswer: 59db5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*v - 14*v = -520*v + 11231 - 37299 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*v + 12. Let o be v\/10*2*-1. Let g be o - ((-2 - 1) + 0). Solve 0 = 3*l - 3*k + g + 2, 0 = -4*l - 4*k - 24 for l.\nAnswer: -4","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 tataatattaata?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.160406, 3\/2, 19\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0\/(-6) - 9\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 15, j: 4}. What is prob of picking 1 b and 1 j?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43425 (base 12) to base 4.\nAnswer: -111222131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by 112039.\nAnswer: -94\/112039","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -2*o. Let c = 6 - o. Solve 2*j + c = 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119418765 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.22783 - -2.77217. Sort 0.18, s, -1.3, -1\/5 in increasing order.\nAnswer: -1.3, -1\/5, 0.18, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 953386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 241 or 5291?\nAnswer: 5291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-2 - 5\/(0 + 15)). What is the fourth biggest value in u, -1\/7, 2\/19, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 326045 and 7625?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9457 and 542137.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d = -3. Let v be -2 - 3\/3*d. Calculate the remainder when 27 is divided by (v + -27)*3\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2165613945050 and -0.1.\nAnswer: -2165613945050.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*p + 631 + 42*p - 661)*(0 - 3 + 5) as z + k*p and give z.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19845650 is divided by 315.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 1. Let g be m(3). Factor -133*j**g - 202612 - 128*j**2 - 4*j**3 - 16428*j - 34*j**2 - 149*j**2.\nAnswer: -4*(j + 37)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from vkivklgvvg.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.03701 rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1317\/9 + (-2)\/6. Let f = t + -38. Suppose -2*x = -0*x - f. What is the remainder when x is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, x: 4, l: 2, c: 2, t: 1, s: 3}. Give prob of sequence cdcs.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.161443441 to 4 decimal places.\nAnswer: 0.1614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7402 + 7402. Which is the second smallest value? (a) -3 (b) -3.1 (c) l (d) -0.6 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 8 = 5*h, -3*v = 3*h - 36. Let i = v - 8. Suppose i*z = -b + 2 + 33, -4*z - 3*b = -17. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 2*g. Let v(m) = 8*m**2 - 313*m. Determine v(f) - 3*z(f).\nAnswer: 2*f**2 - 307*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31367 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -1.2 (b) 16 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsoossohhsr. What is prob of picking 1 h, 2 o, and 1 s?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l**2 - 4*l + 4. Let r(i) = -105*i**2 - 33*i + 33. Suppose 0 = -3*b + 4*j + 359, -b = 4*j - 121 - 4. Let v = b + -125. Give v*r(g) + 33*n(g).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/5)\/l**(-4\/5))\/(l\/l**0)**(2\/87))**(1\/76) assuming l is positive.\nAnswer: l**(77\/33060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {i: 2, q: 3, p: 6, j: 2, k: 6, f: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 996*z. Let v(x) = 2*x**2 - 12*x + 36. Let y(t) = t - 3. Let i(u) = -v(u) - 12*y(u). Determine f(i(k)).\nAnswer: -1992*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 + (-6)\/(-8). Let j be (-1)\/((4\/64)\/(-1)). Suppose -3*r - 15 = -3*v, 4*r - 2 = -2*v - j. Which is the biggest value? (a) r (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.61 + 6.8. Let y = w - -1.81. Which is the nearest to y? (a) 1 (b) 3\/4 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bubbbbbbbbabbb. What is prob of picking 3 b?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 less than 3345410948?\nAnswer: 3345410992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-8) - (-3)\/(-12). Does 11 divide (-156)\/(-7) + s\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 348930000 to the nearest 1000000.\nAnswer: 349000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 - 1876*n**3 + 80664*n**2 - 558896*n - 641440 = 0 for n.\nAnswer: -1, 10, 38, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34\/5 of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.053 and 4.55?\nAnswer: 0.24115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -29 - -6 - -27?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -1, -35?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p - p - p + 0*p - 3*p - p.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118121, 236236, 354351, 472466?\nAnswer: 590581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.23? (a) 4 (b) 0.045 (c) 0.06 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + v - 130*v**2 + 138*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1305792 and 1728.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -138, -123, -98, -63, -18, 37?\n\"Answer: 5*s**2 - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57*b*g**3*n**3 + 4906*b*g*n**3 + g**3*n**2 + g*n**3 + 45546*g*n + 2*n**2 wrt b?\nAnswer: -57*g**3*n**3 + 4906*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-5)\/15)\/(2\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78c (base 15) in base 10?\nAnswer: -1707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3443\/48 or -73?\nAnswer: -3443\/48","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 5490 + -5490.1. Suppose -4*k + 2 = -2*g - 18, -5*g + 20 = 4*k. Suppose -4*u + 6*u = g. Which is the nearest to 1\/2? (a) u (b) -9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 32*d**2 + 128*d + 1388. Calculate the remainder when 853 is divided by x(-29).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*l - 17. Let z be 4\/(-6) - 30\/l. Let d(p) be the first derivative of -p**4\/4 - 5*p**3\/3 - 3*p**2\/2 + 1. What is d(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76369348 is divided by 9546168.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2585638719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63\/4 - 47\/3. Let h(j) be the second derivative of 9\/2*j**2 + j**3 + 0 + q*j**4 + 11*j. What is h(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 105*x**2 + 1056*x + 2304.\nAnswer: 3*(x + 3)*(x + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-9)\/(-18) - (-87)\/(-2). Is j <= -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Suppose -b*m = m. Solve h - 3*h = m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 2, -2, -56, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106139?\nAnswer: 11, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11093*q**3 + 2*q**2 + 2782*q**3 + q**2.\nAnswer: -8311*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -802, -718, -634, -550, -466?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13637d3 - 5?\nAnswer: 13637cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 42\/(-8)*(-112)\/21 - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(2*y - 2*y**5 - 2*y).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -274 - -270.98. Let r = z + 0.02. Let u = -3.2 - r. What is the nearest to u in 0.3, 3\/7, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -416*x**3 + 13*x**2 - 58190*x wrt x.\nAnswer: -2496*x + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*l**3 - l**4 + 1 - 1 + (2*l**3 + l**2 - l**2)*(-l + 2 - 2) + 2 - 3*l**4 - 2.\nAnswer: -6*l**4 - 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebjl when four letters picked without replacement from {l: 1, b: 2, n: 3, j: 5, e: 1, q: 1}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 187541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 199815775595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3*i = 0. Suppose 5*j + 7 + 3 = i, -4*t + 2*j + 172 = 0. Suppose t = 3*k + 6. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6982*i + 60437 - 247529 = -2936*i + 249300 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1 (b) -2\/125 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - -3.7. Let q = 2 - f. Let s = 2.2 - 0.2. What is the second biggest value in q, s, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42754 divided by -1\nAnswer: 42754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 15*r**2 - 77*r - 27. Let m(c) = 8*c**2 - 38*c - 14. Let p(s) = 5*m(s) - 2*n(s). Factor p(b).\nAnswer: 2*(b - 4)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*16\/24*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(54))\/((sqrt(3000)*-1)\/sqrt(10)).\nAnswer: -6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 181.5.\nAnswer: -5.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1108 + 1115. Suppose -5 = -s + 5*i + 9, i + 10 = 2*s. Suppose -s*c - 24 = -4*t - 0*c, -3*t - 2*c + 3 = 0. Solve t*u - 4 = x*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/10 - (30\/25)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34 + 101?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9705 by 5.\nAnswer: -1941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12\/30)\/(11\/(-55)*47)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -o - 5*z - 4, -13 = -o - 2*z. What is the greatest common factor of 14 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 20 + 2. Suppose -2*x - x = m. Let r = 1511 - 1510.9. Are r and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*w**2 + 14*w**2 - w**2 + (3*w - 2*w + w)*(-6*w + 3*w + 2*w) to m + q*w**2 + n*w and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*4\/32*(11 - -1). Suppose 3*g - q*g + 15 = 0. Let h(r) = r**2 + 2*r + 3. Let n be h(0). Put g, 2, n in ascending order.\nAnswer: 2, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3680 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, -4, -3?\n\"Answer: f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 42*r. Let i(u) = -10*u - 6. Let w(n) = -2*n - 1. Let f(d) = i(d) - 6*w(d). Determine f(a(l)).\nAnswer: 84*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1 + 2*f**2 + 214*f - 200*f + 15. Let d be s(-6). Solve -a + d*a + 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 265*q**4 - 4*q - 443*q**4 - 329 + 2*q wrt q.\nAnswer: -2136*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9612)\/20826)\/(2 - 29).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*x + 62, 3*x - 99 + 40 = 2*m. Suppose -4*t + 1 = -x. Suppose -2*q + 13 = t. Solve 0 = 3*b + q*l - l + 21, 4*b = 2*l - 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -7*c**2\/4 - 103*c\/4 - 75 = 0.\nAnswer: -75\/7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1452, -4740, -9876, -16860, -25692?\n\"Answer: -924*v**2 - 516*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 4*x**3 + 13*x**2 - 762*x. Let t(p) = -5*p - 5. Give 3*n(g) + 14*t(g).\nAnswer: 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 44986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/(o\/o**6))))\/(o**(-4\/3)\/o))\/(o**7\/(o\/((o\/o**1)\/o))))**(-4\/13) assuming o is positive.\nAnswer: o**(-40\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28591619339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-3 + 25 + 2. Does 16 divide (-16)\/(-3)*q\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1100*a + 17*a**2 + 3*a**5 - 4 + 346*a + 4 wrt a.\nAnswer: 60*a**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -238, -247, -370, -667, -1198?\n\"Answer: -10*o**3 + 3*o**2 + 52*o - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1248*z**2 + 14976*z - 2. Calculate j(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgttgtgtgttthltth. Give prob of picking 1 l, 1 g, and 1 t.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8463 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -31*n**4\/24 - 298*n**2 - 3*n. Let l(h) = 0 + 3*h + 0. Give l(u(x)).\nAnswer: -93*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.211282 * -0.1.\nAnswer: -0.0211282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -25*s**3 + 15300*s**2 - 963260*s + 6757760. Let i(h) = 2*h**3 - 1177*h**2 + 74097*h - 519828. Let k(v) = -40*i(v) - 3*z(v). Factor k(t).\nAnswer: -5*(t - 114)**2*(t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*n - 79*n - 363*n + 814*n + 723*n + 2.\nAnswer: 1520*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2259139 is divided by 3078.\nAnswer: 2965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z - 57. Let m be (-6)\/(-12) - z\/2. Let h = 96 + -577\/6. Which is the second biggest value? (a) h (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b - 53 - 3*b**2 + 23*b + 25 + 28 to the form f*b**2 + v*b + u and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28016 + 28017. Which is the biggest value? (a) -2\/123 (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from vwhrwvzhhvzvr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((96\/(-18))\/8)\/(((-4)\/174)\/1). Sort -1, 1, 0, 16, t in increasing order.\nAnswer: -1, 0, 1, 16, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64852 and 48?\nAnswer: 778224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*k - 20 = -6*c, -5*c + 84 = k. Let x be 1840\/(-69)*(-6)\/(-4)*-4. What is the greatest common factor of x and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204540 divided by 20?\nAnswer: -10227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*w**2 + 13*w**2 + 2*w - 18*w**2 + 29*w**2 as q*w**2 + z*w + g and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -99261*d*z - d + z - 9199 wrt d?\nAnswer: -99261*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.9229 to the nearest integer.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -5*p + 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 2*h - 2 - 1. Let c be (-64)\/(-32) + (-1 - 12\/(-4)). Determine x(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 27*v**2 - 185*v + 16. Determine i(-13).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -47, -66, -83, -98?\n\"Answer: q**2 - 22*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33\/(-4)*(-5 + 1). Suppose 19*x - o = 18*x. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvttvdddtwwd. What is prob of sequence wty?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*b - 16, 37*b - 33*b = 4*x - 28 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1197591 is divided by 1156?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/16)\/((-21)\/(-14)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 20*r**2 - 2*r - 38. Let g be h(-20). Put g, -6\/7, 3\/4 in descending order.\nAnswer: g, 3\/4, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13541925967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(84\/(-126)*3\/(-10))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22 + 9*(39\/9 + -4). Solve y - i + 9 = -4*c, -5*c + 15 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 533, 1184, 2105, 3302, 4781?\nAnswer: 6548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23006 * -0.11.\nAnswer: -2530.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 - 0.05. What is the closest to f in -2\/3, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x + 5. Let j = x - 5. Sort j, -0.3, -3 in increasing order.\nAnswer: j, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*g - 1070 - 697 = -62. Let k = 66 - 36. Is k less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 5*n**2 - 14620*n + 14615 = 0?\nAnswer: 1, 2923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*g + 1 = 71*g. Let u be g*(4\/(-6))\/((-14)\/21). Which is smaller: u or 1\/27?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39793 (base 11) to base 3.\nAnswer: 2212222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -618, -624, -634, -648, -666, -688?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.7888, -3, -73?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -13\/12*c**4 - 9*c + 0*c**2 + 0 + 0*c**3. Let u(z) = 4*z - z**2 - 4*z. Give u(j(m)).\nAnswer: -169*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2732*u**2 + 22*u**3 + 14*u**3 - 41*u**3 + 2732*u**2.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870 is divided by 290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/2593344 and 131\/2496.\nAnswer: 2593344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - (14 - -2)) - -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 258.586 - 258.766003. Let j = 349 - 348.82. Let s = j + b. Round s to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 1\/2*r**4 - 1\/60*r**5 + 7\/6*r**3 + 0*r + 2*r**2 + 0. Is v(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 197 + -153. Let i(r) = 45*r**2 + r**2 - s*r**2. Let p(l) = 4*l**2. What is i(p(b))?\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 + 3*k - 3*k + 7*k**2 in the form h + w*k**2 + x*k and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.246 - -1.041. Round k to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130.86 * -261.\nAnswer: 34154.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/363 and 96\/264*87\/18.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 815*p + 1653 - 1005 = -125*p - 2085, -44 = 4*u - 2*p for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -7*u - 44. Suppose u = 4*f + 3. Suppose -17 = -5*x - 2*l - f, 5*l + 25 = 0. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*u = 1, 0 = 3*f - 3*u + 10 + 8. Let p = 13 + -9. Which is the closest to 0.07? (a) -0.3 (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -2061a35?\nAnswer: -2061a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 2. Let z be (3 - w)\/2 + -34. Let q = -19 - z. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -122*g - 2586. Determine j(-16).\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 17 + -8 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 6) to base 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.59 and -0.81757526.\nAnswer: 5.77242474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(14)*-1*6)\/(sqrt(2) + -1*sqrt(2)*-1 - -6*sqrt(8)\/sqrt(4)).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3078.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 1:45 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**1*r*r**(-1\/2)*(((r*r**1)\/r*r)\/r)**(3\/2) assuming r is positive.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k**3 + 3*k**2 - 3. Determine j(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(3 - 2 + 4*m - 3*m + (-m - 4*m + 3*m)*(-3 - 1 + 6)).\nAnswer: -6*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11390350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 1. Let c(i) = -3*i - 12. Let s(j) = 2*c(j) - 2*n(j). Determine s(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 - 3*a - 4. Let k be f(-1). Suppose -2\/9*r**3 + 0 - 4\/9*r**k - 2\/9*r = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/8 and (-10)\/(-4)*(-795)\/(-225).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 4143347*z**2 - 3*z + 4143356*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29979 - 20701 = -8602*v + 10863 + 170455 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + z + 1. Let d = 796 - 776. Suppose -d*y + 18*y = 2*o - 6, 3*o - 3*y - 33 = 0. Calculate the remainder when o is divided by j(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 62639389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -29. Suppose -5*q - m + v = 0, -2*m - 3 = 4*q - 9. Determine i so that -i**5 + i**5 - 12*i**4 - q*i**5 - 5*i**3 - 10*i**3 - 6*i**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343 (base 5) in base 9?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 3*x - x)*(-52 - 398 - 109 - 62).\nAnswer: -621*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -69 - (-1 - 1\/(-1)). Let m be 4\/2 - -1 - -94. Let z = x + m. Calculate the highest common factor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -358 - -359.63. Let x = p + -1.23. Sort 3, x, 2\/27, 0.3 in descending order.\nAnswer: 3, x, 0.3, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -0 + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62556 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a kilometer in meters?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654 - 719 = -57*z + 451 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(3\/5)\/c))**(-1\/20)*((c*c**(-3\/13))\/c*c)\/c**(-14) assuming c is positive.\nAnswer: c**(9587\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.9, 1\/5, 0.02, 10, 1\/2591, 0.5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243902 is divided by 296?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/5 - m**3\/2 + 7*m**2. Differentiate u(f) with respect to f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -98, 1\/2, 1\/14, -83\/2, 0.4?\nAnswer: -83\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5272, -5307, -5338, -5365, -5388, -5407?\nAnswer: -5422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/3*9\/6. Let q(d) = 3*d**2 + 6. Let h(s) = 4*s**2 - s + 6. Let m(p) = -4*h(p) + 5*q(p). Let o be m(c). Sort o, -3, 2.\nAnswer: -3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 392061688 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*c = 4*c - 19, 4*c = -m + 13. Let y(u) = u**3 - 4*u**2 - 70*u + 280. Let s be y(4). Put m, 4, 1, s in decreasing order.\nAnswer: 4, 1, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - k**2 - 1. Let g(y) = y**3 + y**2 + y + 1. Let z(c) = -5*c**3 - 4*c**2 - 7*c - 4. Let p(d) = 42*g(d) + 6*z(d). Determine 36*i(x) + 2*p(x).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4469, -17902, -40277, -71588, -111829, -160994, -219077, -286072?\nAnswer: -361973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64430 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22644 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -89*w**5 + 2*w**3 - 105*w. Let b(p) = 2758*p**5 - 63*p**3 + 3255*p. Let j(c) = -2*b(c) - 63*v(c). Find the second derivative of j(q) wrt q.\nAnswer: 1820*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*1*sqrt(170) - sqrt(170))\/((sqrt(10) + sqrt(20)\/sqrt(2))*5).\nAnswer: sqrt(17)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1778033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93554 and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*s = 56*s - 3*q + 63, -82 = -4*s - 2*q. Solve s = -4*y - 4*d, 9*d - 12*d = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410553471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0136804864 rounded to four dps?\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480539006?\nAnswer: 2, 149, 157, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, m: 3, j: 4, w: 1, x: 3, n: 2}. Give prob of sequence xwm.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7157502 = 3*k - 5142488, -16400006 = -4*k + 3*i. What is k rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**4\/4 - 2*i**3\/3 + i**2 - 4*i - 51. Find the second derivative of p(n) wrt n.\nAnswer: -6*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 41*q**2. Let m(s) = -90*s. Give m(v(c)).\nAnswer: -3690*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 434 - 126 + 4*x - 6*x + 350.\nAnswer: 7*x - 210","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 104 (b) -1\/5 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 214*i - 160. Let f be y(-72). Let o be (-2)\/(-1 + 7)*46. Is o at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 62490 (c) 1 (d) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*u**3 - 3*u wrt u.\nAnswer: -612*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 6*f = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/32 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34744 and 0.03.\nAnswer: 1042.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 d when three letters picked without replacement from {i: 1, d: 4, k: 6}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2591\/5 + 2081\/4. Calculate the common denominator of s and -31\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 93321264 at most as big as 93321263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -49a92 (base 12) to base 3\nAnswer: -12002020102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -65. Let z be (44\/(-10))\/((-4)\/n). Let s(q) = -12*q**2 - 11*q. Let w(a) = -187 + 93 + a**2 + a + 94. Give z*w(b) - 2*s(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 0.2. Let y = -7 + 8. Which is the closest to y? (a) 0.2 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 20. Suppose -2 = j, -4*d + 20 = -j - 3*j. Suppose -o*r = 4*u - 134 - 26, 164 = 4*u + d*r. What is the greatest common divisor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*k - 633938 = -636882 for k.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 7*q**4\/2 + q**3\/3 - 9*q**2. What is the least common multiple of g(1) and 16?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/4 - f. Let c(s) = -s - 3 + 5 - 2 - s. What is j(c(b))?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 45 - 4*o + 33 + (-3 + 2 + 3)*(-4*o - o + 2*o) to c + i*o and give c.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5451 - 5459 = -b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 6. Let x be l(5). Let z = 7 - x. Suppose 0 = -z*j - 2*d + 8, 0 = -0*j + 3*j + 4*d - 10. Sort 0, j, -3 in decreasing order.\nAnswer: j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*w**2)*(2 + 4 + 2)*(3*w + w - w) to the form f + y*w + s*w**3 + d*w**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkkkckkckvkvvv?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5. Let i(z) = z. Let k(c) = a(c) - i(c). Let q be k(-10). Solve -4*y + 9*y = -q*h, 2*y - 35 = 5*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-14)*(-35)\/5. Let t be q*(18\/(-15))\/(-6). Let o(y) = 29*y - 3. Is o(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -5 (c) -1\/4 (d) -0.63 (e) -0.1 (f) -1524\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.024 + -0.524. What is the nearest to -2 in -0.1, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 528, 1148, 2834, 6120, 11540, 19628, 30918, 45944?\n\"Answer: 89*q**3 - q**2 + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (62\/(-248))\/((-2)\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*-6.524\nAnswer: -32.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -15*p**2 + 2*p - 4. Let w(g) = g**3 - 31*g**2 + 5*g - 9. What is 2*w(j) - 5*x(j)?\nAnswer: 2*j**3 + 13*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (15 - (12 - -4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5}. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -10 - 3) + 10 - (6 - -16).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - ((-2 - 2) + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*b. Let f = 29 - 21. Let j be f\/44 - 62\/(-22). Solve b = -6*i + j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.015 + -0.215. Let q(m) = -m - 1. Let w be q(0). Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 133*f - 12. Let y(q) = 133*q - 6. Calculate -2*n(t) + 3*y(t).\nAnswer: 133*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2019377.65 rounded to the nearest 1000?\nAnswer: -2019000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2)*o*o\/(o*o\/(o**(-6)*o))*o)\/(o**1*o)**(-28))\/((o*o\/(o\/o**(-2\/7)))**(-6)*((o\/o**(-2\/3))\/o)\/o*o*o*o\/(o\/o**(1\/2)*o)*o*o) assuming o is positive.\nAnswer: o**(2189\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -430 (base 7) to base 13\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(44) + 0 + sqrt(44)\/sqrt(4) + -2)*-4)**2.\nAnswer: 1728*sqrt(11) + 14832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/3094 and -9\/16.\nAnswer: 24752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q + 8572. Let a(l) = -29*l**2. Determine r(a(i)).\nAnswer: -87*i**2 + 8572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = 18 + 2. Let x(u) = -10*u**3 + u**2 + 3*u. List the prime factors of x(s).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j**2 + 12. Let y be h(11). Let n = 3016\/3 - y. What is the common denominator of -8\/7 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**4 + y**3 - y**2 + 3*y - 1. Let w(q) = q**4 + q**3 - q**2 - 1. Let t(i) = -m(i) + w(i). Find the second derivative of t(s) wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 10*q**2 + 25*q + 4. Determine f(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 6*i**2 + 4*i**2 - 9*i**2. Let w(a) = -8*a - 13. Let d(n) = 2*n + 3. Let j(q) = -26*d(q) - 6*w(q). Calculate j(x(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 21*q + 58. What is u(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -2, 1\/4886, 1\/4?\nAnswer: 1\/4886","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*a**3)*(6 + 6 - 3)*(3 + 2 - 4).\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7525*b*j - 2343*j + 1 wrt b.\nAnswer: 7525*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 57299*m + 11211339. What is n(195)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 4. Let f = 9 - 19. Let c = f - h. Solve 2*p + c*p = 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-42)\/21)\/((-1)\/44).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 30. Let a be z(-16). Suppose -a*b + 1 = -3*b. Let x be (b - 285\/(-265))*1. Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381033200 rounded to the nearest one million?\nAnswer: 381000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 193487718 or 193487717?\nAnswer: 193487718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12996 - 13004. Let w(l) = l**2 - 40*l - 380. Calculate w(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001001110010011111 - -10?\nAnswer: 1111001001110010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 + o**3 + 0*o**3 + (o - 2*o + 2*o)*(4*o**2 - 3*o**2 - 3*o**2) + 4*o - 4*o - o**3 - 10*o**3 - 69 + 69 + (0*o - o + 0*o)*(1 + 2*o**2 - 1).\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9007 and 0.1?\nAnswer: -900.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f + 15 = 0. Suppose -3*y + 11470 = 2*y - 5*h, 4*y = -f*h + 9149. Let v = y + -1440. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.94 + -0.06. Let h = 4 + g. Let i = 371.3 + -371.3. Which is the nearest to h? (a) 3 (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o**1\/o)\/o*o)\/o*o*o))\/o*o)\/o*o**(-1)*(o**(2\/5)\/o)\/o*(o\/(o**5*o))\/o*o assuming o is positive.\nAnswer: o**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 200, 177, 134, 65, -36, -175, -358?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.633 + -0.03\nAnswer: -0.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3683*i**4 + i**3*y**2 - 981*i**2*y**2 - 3*i**2*y - 3*i wrt i?\nAnswer: 88392*i + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 45 + 9*a - 45. Let y(k) = -3*k. Give t(y(u)).\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11322, 11230, 11076, 10860, 10582?\n\"Answer: -31*f**2 + f + 11352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 0, -1539?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (442 - -1)*3\/(-909). Let w = -10\/707 + t. Let v = w - -8\/7. Which is the closest to v? (a) 0.3 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 6*a**2 - 5*a - 2. Let j be c(-4). Calculate the common denominator of -3 - ((-972)\/(-33))\/(-4) and j\/(-21) - 115\/(-12).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/18798 and -47\/21.\nAnswer: 131586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -5\/7, 1\/1696, 0.3, -17 in decreasing order.\nAnswer: 0.3, 1\/1696, -5\/7, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 356\/21182 - 4044\/(-119)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - 24. Suppose 4*k - 13 = 19. Let l = k - v. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**6\/30 - 11*s**5\/10 - 133*s**4\/12 + s**3\/6 - s - 204. What is the third derivative of x(q) wrt q?\nAnswer: -24*q - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-198)\/(-40) + (-7)\/35 and 125\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16242467?\nAnswer: 3413, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -16*m**3 + 9*m**2 + 9*m - 7. Let i be z(-8). Is i*(-2 - -6 - (-2 - -5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmrmxdmdddpdxzmmd. What is prob of sequence dpdr?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 41*p = 145 + 485 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 524 - 742. Let u = 320 + t. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984 is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c - 67*c = -53*c - 286 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -3. Let f = 26 - b. Suppose -5*w = -f, 2*i - 4*i = -4*w + 8. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j - 1. Let o(c) = 30*c - 7. Calculate -6*i(r) + o(r).\nAnswer: 18*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b - 9*b + 44*b)*(-b - 2*b + 2*b + (5*b - 3*b + 0*b)*(-6 + 2 + 2))*(1 + 2 - 8).\nAnswer: 650*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*t + 21 - 287. Let d be 357\/(-15)*(t\/(-2) - -2). What is the greatest common divisor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/2 (b) 1 (c) -3 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l**3 - 4*l**3 - 15*l**2 + 15*l**2.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.09331 to 2 dps.\nAnswer: -15.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27515300*o**4 - 3*o**3 + 582*o**2 + 46148 wrt o?\nAnswer: -660367200*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.2 - -22. Put y, 1\/3, -0.5 in descending order.\nAnswer: 1\/3, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92606 is divided by 639?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36280 and 78965.\nAnswer: 572970040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 706 + 696. Let n be 446\/10 - 4\/10. Let z = n - 44. Which is the third smallest value? (a) z (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - 3.68. Let x = 6.88 + r. Which is the closest to x? (a) -2\/5 (b) -5 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 483847*t**4 - 332474*t - 1 wrt t.\nAnswer: 5806164*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 4:44 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 10*b - 1. Suppose -16 = -4*s + 2*s. List the prime factors of r(s).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 2910?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/17)\/a**(-1\/3)*(a*a**0)**(-1\/23))**(1\/9) assuming a is positive.\nAnswer: a**(271\/10557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80153738 and 1015.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2\/3 + 92*f\/3 + 7040\/3 = 0 for f.\nAnswer: -32, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24300\/7 + 21060\/7*m - 72\/7*m**3 + 12*m**4 - 4968\/7*m**2 + 4\/7*m**5.\nAnswer: 4*(m - 3)**3*(m + 15)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 34.7. Let n(l) = -l**3 + 8*l**2 - 8*l + 6. Let v be n(7). Let i be -5*(-1)\/((-10)\/8). What is the nearest to -1\/3 in v, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 244.22 - 244.5. What is the nearest to x in 0.5, 44, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from hcivch.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/((-12)\/181*18\/(-72)).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5664 divided by -177.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(220)\/(sqrt(11)*-1))\/sqrt(10) - (-2 + -3*sqrt(2) - (-4 + sqrt(6)\/sqrt(3))).\nAnswer: -3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*2*9\/3. Solve -o = -3*n + 3*s, -4*n + s + 2 = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(63))**2 + 3 + 4*sqrt(28)*-6.\nAnswer: -48*sqrt(7) + 570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 42 - 58. Let l(m) be the third derivative of 1\/4*m**4 + 1\/2*m**3 + 0*m + 0 - 2*m**2. Give l(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -813.6841?\nAnswer: 813.5841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p = -u, 2*u + 8 = 0. Suppose -b - p*b + 12 = 0. Suppose -b*f - 2*h + 412 = h, 3*f - 2*h - 326 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-36))\/((-15)\/(-3)*(-52)\/390)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 438312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.93, -14\/3, -5\/2, 1\/23?\nAnswer: 2.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 54 = 53, 4*h - 5*y - 1 = 60 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1060, 1059, 1060, 1063?\nAnswer: 1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17557*o**3 - 46740*o wrt o.\nAnswer: -105342*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and -144.\nAnswer: 3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 17*s + 503 - 439 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/13))**19 assuming w is positive.\nAnswer: w**(-19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2\/7*z**5 + 214\/7*z**3 - 276\/7*z**2 - 48\/7*z**4 + 16*z + 0 = 0.\nAnswer: -28, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) 1\/9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 + 5*v**3 + 14*v**3 + 17*v**3.\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8951*q**4 - q**3 + 2582*q**2 + 8*q - 2?\nAnswer: 214824*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24907*o - 12448*o - 12449*o + 30 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 250 - 79. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p = -13. Let i = 18 - p. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9122 is divided by 721.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 6272?\nAnswer: 6272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.242 and -46753678.44?\nAnswer: 46753680.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -303436 and -927.\nAnswer: 281285172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-6)*254\/5715*-60?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*j - 17 = 6*i, 2*i + 2*j = -18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 734145.2 millilitres to litres.\nAnswer: 734.1452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**3 - 95*u**2 + 29*u + 23. Is d(40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72*(-56)\/(-3584))\/((-1)\/8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:29 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/3 + d**4\/3 + 4*d**3 + 4*d**2\/3 - 16*d\/3 = 0. Calculate d.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4 + 488*h**3 + 23466*h**2 + 343360*h + 1616384 = 0. Calculate h.\nAnswer: -16, -11, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-32)\/(-20))\/((-4)\/(-10)). Let p be (-2)\/(-8) + 11\/b. Suppose 0 = -p*a + 7 - 4. Which is greater: a or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10525 + 2?\nAnswer: 10531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 367.767?\nAnswer: -362.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2968 and 228.\nAnswer: 169176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 34*w + 130 = 0. Suppose 0 = 6*x - 214 - w. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60015935 divided by -7?\nAnswer: 8573705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7*5\/105*-10053. Let c = 26893\/8 + r. Calculate the common denominator of c and -85\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**18*t))**(10\/9) assuming t is positive.\nAnswer: t**(170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 4)*(-4*v + 2*v**3 + 4*v) - 3*v + v**3 + 3*v + (4 - 4 - 2*v**2)*(3*v + 3*v - 5*v) as m*v**2 + h*v + i + l*v**3 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 128*f**2 + 11*f - 1. Let h(w) = w**2 - 15*w - 1. Determine h(d) + k(d).\nAnswer: 129*d**2 - 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 349293853 to the power of 1\/2, to the nearest integer?\nAnswer: 18689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -265\/14 - -37\/2. Which is the nearest to 9? (a) i (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3921392 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by -5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1396814780 to the nearest integer?\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 + 4*b**3 - 5*b**3 + (b**2 + b**2 - 18*b**2)*(2*b + 0 + 0) to the form l*b**2 + q + p*b**3 + f*b and give p.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-21)\/72*-8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 7108*h - 14220.\nAnswer: (h - 2)*(h + 7110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 135108?\nAnswer: 5\/135108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 256170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(468) + 4 + sqrt(468)*2*-5 + -4)**2.\nAnswer: -324*sqrt(13) + 37917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (208\/(-6))\/((-4833)\/14499)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = 4*z, 3*z = -2*h + 3*h + 6. Let s be (-1)\/(h\/2 - 1). Let y = -0.51 + 0.31. What is the third smallest value in s, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 75 + 70 - o**2. Let m be l(3). Let p(a) = -a**3 + 4*a**2 - 5*a + 5. What is p(m)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - h = -2, -22*h = a - 19*h - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*x - 4)*(-2*x + x**2 + 2*x) + x**3 + 0 + 0 + 14858 - 14858 - 10*x**2 + 17*x**3 to s*x + l + b*x**2 + n*x**3 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057251 is divided by 352417.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08077 from 3.79.\nAnswer: 3.70923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 4:59 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 68*w. Let z(x) = 21*x. Determine z(y(k)).\nAnswer: 1428*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**4\/24 + t**2. Let f(m) = 478*m + 482. Let x be f(-1). Give p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67410126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7384*f - 43743 wrt f.\nAnswer: 7384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -188120 minus 5908.962?\nAnswer: -194028.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -9*f**2\/2 + f - 4. Let r(n) = 13*n - 1. Suppose 161 = 15*x + 236. Calculate x*r(u) - 7*s(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - t**2 + 2*t + 2. Let d be s(-2). Suppose 0 = d*k + 2*k + 28. Let o = 25 + k. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x**2 + 7*x + 1. Let h be p(-4). Suppose -1 - 20 = -7*z. Let f = h + z. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2634*m**2 + 2*m - 9281 with respect to m.\nAnswer: -5268*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673396 is divided by 260.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 1326.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + h = -5, -10*c + 574*h + 583*h - 1729*h + 66 = -574*h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtpvppprpplpvtptppll. What is prob of picking 1 t and 2 v?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 58*a**2. Suppose -953 = -18*o + 541. Let s(c) = 78*c**2 - 163*c**2 + o*c**2. Determine s(k(u)).\nAnswer: -6728*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1\/9, 91 in decreasing order.\nAnswer: 91, -1\/9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 57611, 72719, 87827, 102935, 118043?\n\"Answer: 15108*m + 42503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-56)\/(-9) + 5848\/6732.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -1\/47908929?\nAnswer: -1\/47908929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 + 159 = -11*d. Solve -3*j = 3*b - d, 3*b = j + 3*j + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + 17. Let b(d) = -5*d + 1. Suppose -t - 2 = -0*t. Let l be b(t). What is the highest common divisor of l and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000 (base 3) to base 16\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(-64*u**2 - 107*u**2 - 72*u**2) - u**2 - 2*u**2 + 2*u**2 + (-u + 2*u - 2*u)*(5 - 5 + u).\nAnswer: 241*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.92 + 0.08. Let x = -5 + n. Is 2\/7 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27311?\nAnswer: 31, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -28674 divided by 28674\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 7*n - 7. Let l be f(8). Which is the closest to -1? (a) 3\/5 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 1, 4, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329 divided by 3.\nAnswer: 329\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1057 - -1528. Let w = -12689279\/26340 - 4\/6585. Let v = j + w. Find the common denominator of v and -87\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/4 - (-162)\/(-8). Let u = b + 33. What is the greatest common factor of 104 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 508, 507, 506?\n\"Answer: -u + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*t**2 - 19*t**4 - 14*t**4 - 24*t + 37*t**4.\nAnswer: 4*t*(t - 3)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13228139 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -4085.0657631?\nAnswer: 4084.0657631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12526512 (base 7) to base 3.\nAnswer: -2011102111020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -5\/9773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197800292?\nAnswer: 2, 49450073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3686928 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -90764.7774 and -3?\nAnswer: 272294.3322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.35, -5, 1, 0, -14.7, -1 in descending order.\nAnswer: 3.35, 1, 0, -1, -5, -14.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -4 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -6\/11 (c) 14 (d) 0.053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**5)\/j*j**(-3\/11) assuming j is positive.\nAnswer: j**(-58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 + 36*g - 16. Let x(o) = -o**2 + 7*o - 3. Let r(a) = 16*x(a) - 3*y(a). Solve r(d) = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54486 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*s**5 - 17*s**3 - 264*s + 2.\nAnswer: 760*s**3 - 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1. Let d(z) = -z - 3. Let c(u) = -d(u) + 4*p(u). What is c(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -41) + (1 - 0 - (33 + -42)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 341653577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12122111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 32*i**4 - i**3\/3 + 60*i**2 + 27. What is the third derivative of p(k) wrt k?\nAnswer: 768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2259802153 rounded to the nearest one million?\nAnswer: -2260000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -1\/2*x**3 - 96*x - 12*x**2 - 256 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x. Let h(w) be the third derivative of 0*w**3 + 0*w + 9 + 5\/12*w**4 - w**2. Give v(h(t)).\nAnswer: 90*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44885 is divided by 124.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4538, 4537, 4536, 4535, 4534, 4533?\n\"Answer: -c + 4539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 2, f: 1, y: 2}. What is prob of picking 1 y, 1 r, and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6 = 9. Let z = -4 - p. Let r be ((-1)\/2)\/(z\/4). Solve -r*s + 3*s = -5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-9)\/n*n**22 assuming n is positive.\nAnswer: n**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 13*i**2 - 13*i + 19. Let u be 576\/(-40) - (-4)\/10. What is the remainder when (-16 + 0)\/(-2) - 0 is divided by j(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by 3?\nAnswer: 80\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -65, -96?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 6*c**3 + 1354695*c**2 - 99602496*c = 0.\nAnswer: -225856, 0, 147\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64047 - 5123873\/80. Find the common denominator of o and -71\/21.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3602 and 10?\nAnswer: 18010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 447 + -449. Let v be (-8)\/(-4) - (-5 - 1). List the prime factors of (4\/a - -204) + (-24)\/v.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10*t + 5*t = 1900, -2*l + 4*t + 1902 = 0. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -9, 6, -477.\nAnswer: -477, -9, -5, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 0.5, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + -121?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006 minus -0.0114?\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*z + 0*z - 6*z)*(-57*z**2 + 11*z**2 - 1477*z + 47*z**2) to x*z + p*z**3 + o + d*z**2 and give d.\nAnswer: 1477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 176 = 4*m - 5*t, 3*t + 264 = 3*m. Calculate the highest common divisor of m and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f + 105. Suppose -q - 5*w = 30, q - 5*w = -0*w. What is g(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 244, 446, 650, 856?\nAnswer: 1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 3}. Give prob of sequence ydd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292980525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4415 - (-147)\/(-168)*24 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 38\/5 - (-2 + -5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iddidddd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 7*l**2 + l**2 - 2*l**2 to the form i*l**2 + q*l + x and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288754 and 21886.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**3 + 870*l**2 + 3415*l + 2550 = 0. What is l?\nAnswer: -170, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324245001.\nAnswer: 1324245001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 11 - 1. Suppose h*b = 2*b, 3*t - 5*b - 33 = 0. Solve 7*d - 2*d - t = -3*m, -23 = -2*d + 5*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 637560 divided by 5.\nAnswer: 127512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v**2 - 3*v - 4. Let h be 4\/5 + (-16)\/(-80). Let w(p) = p**2 - p + 1. Let z(m) = h*d(m) - 3*w(m). What is the derivative of z(b) wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.0363.\nAnswer: 0.1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k - 3. Let p(b) = -7*b + 4. Let h(t) = -5*g(t) - 6*p(t). Let m be h(7). Solve m = 2*u + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4244 - -4259. Solve -3*u = 5*s - j, 20 = 6*u - 2*u - 3*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 18. Let i = o + 5. What is the third smallest value in 3, 0, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 0*v - 43 = -11*q, 0 = -v - 3*q - 1013 + 1024 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 210?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((225\/(-125))\/(8\/5))\/(3\/1).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - 94*x**2 - x + 5. Let p(y) = 2*y**3 + 114*y**2 + y - 6. Let w(g) = 6*l(g) + 5*p(g). Give w(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 - 71. Let t(d) = d**2 + 7*d + 8. Let u be t(-7). Solve u = x*h - 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 6:31 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 11:39 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 5*s - 3. Let v be g(-6). Suppose 3*m - 80 = -q, -v*m + 4*q = -37 - 33. What is the remainder when 102 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqtx when four letters picked without replacement from {x: 3, t: 2, q: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 381 + -330. Suppose 7*c - k = -37. Let l(p) = 2*p + 3. Determine l(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 2 + (15 - (1 + -3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 700*s - 3442. Calculate r(5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 0 + 7*p + p**2 - 1\/6*p**3. Let o(w) = 4 + 0*w - 2*w - 2. What is -2*o(s) + 3*u(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 47*x**2 + 17*x**2 - 16*x**2 to d + b*x + q*x**2 and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6756261571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 241528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/(-76)*4*1. Let p be n\/(0 - (-2)\/12). Let d = -20 - -19.8. What is the second biggest value in 1\/3, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3 + 4 + 2 - 88*k**4 + 6*k**2 + k**3 + 92*k**4 to r*k**3 + l + y*k + j*k**2 + m*k**4 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 430, 650, 874, 1102, 1334, 1570?\nAnswer: 1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -900 or -901?\nAnswer: -900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 443406600 and 15159200?\nAnswer: 1773626400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4\/7 - 30*r**3 - 1332*r**2\/7 - 2712*r\/7 - 1824\/7 = 0. Calculate r.\nAnswer: -2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9322 is divided by 337.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*v**4 - 1 + 4 - 3 - 6*v**4 + 4*v**4 + (6*v**2 - 6*v**2 + 2*v**4)*(-5 + 4 - 1) + (4*v**2 - 4*v**2 + v**2)*(-9*v**2 + 3*v**2 - v**2).\nAnswer: -15*v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 36 = -5*j, -20 + 56 = -2*j + 7*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 79*n - 77. Let k be o(1). Solve 10*m = k*m - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 284 in 0, 0.0208, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22610, 90498, 203644, 362048?\nAnswer: 565710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-230)\/90)\/23)\/(3\/(135\/(-6))).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1785\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/6)\/(-7) + 1. Suppose -4\/3*w + l + 2\/3*w**2 = 0. What is w?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 6496\/10 + 33\/(-55) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**3 + 13*j**3 - 26*j**3.\nAnswer: -38*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2. Let u(w) = 102*w + 20. Give u(z(h)).\nAnswer: -204*h**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 96.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*(v\/v**(13\/4))\/v*v))*(v**18\/v)\/v assuming v is positive.\nAnswer: v**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -i - 4, 0*i = -4*i + 3*k + 6. Suppose -9*q + 5*q + 3108 = 0. Suppose -h + 4*h - q = i. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1001721*w**2 + 1001649*w**2 - w)*(4 - 2*w**2 - 4) to u*w**3 + d*w**4 + l + m*w**2 + f*w and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8589901494?\nAnswer: 2, 3, 23, 62245663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -163 (base 13) to base 6\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-277)\/277)\/(1\/(1*18)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 14ee14a?\nAnswer: -14ee145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, d: 9}. What is prob of sequence ded?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4593769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/8*10\/6)\/(1383\/(-2766)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-4) - 1\/4. Let j be (5 + 65)*v\/(-10). Let g = -18 + j. Calculate the remainder when 29 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1763 or -0.20231?\nAnswer: 2\/1763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77*-7.\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 462 and 77154.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22505 is divided by 2218.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 3, g: 1, n: 1}. What is prob of picking 1 t and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56.09 - 55.91. Which is the fourth smallest value? (a) l (b) -0.5 (c) -41 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 80 = -6*u. What is the remainder when 6 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -916041?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w - 2*k = -776, -964 = -5*w - k. Calculate the highest common factor of w and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 5. What is k(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 8. Let d = 3 - 1. Sort 3, w, d in ascending order.\nAnswer: w, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 6:36 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**2\/2 - 10527*v\/2 - 5263 = 0.\nAnswer: -10526, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2806219.\nAnswer: 13, 215863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(130) - (sqrt(130) - sqrt(130)*2)) + sqrt(130) + sqrt(130))\/(sqrt(270)\/sqrt(3) + sqrt(10)).\nAnswer: 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25596791 and 88.\nAnswer: 204774328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 11*u**8\/336 - 5*u**4\/3 - 83*u**2. What is the second derivative of x(r) wrt r?\nAnswer: 220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -140*s + 5*s + 340 - 180 + 245 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibmbubmmimu. What is prob of sequence umu?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00236053 to 5 decimal places.\nAnswer: -0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {w: 2, y: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 3*b + 1. Let i be y(0). Let r be -9 - -10 - 6\/16. Which is smaller: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1577111*o + 923448 with respect to o.\nAnswer: 1577111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0132281 and -15035.\nAnswer: -15035.0132281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 5*b - 23 = -5*v, 5*v + 5*b + 25 = 0. Let c be (1 - v)*(-84)\/(-24). Sort -1, 1, c, -5 in decreasing order.\nAnswer: c, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 1\/2 (c) -12\/2323 (d) -178 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 + 173. What is the greatest common divisor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(66)\/(sqrt(864) + sqrt(864)*1))**2 - (0 + sqrt(11) + sqrt(33)\/(-2*sqrt(3)) + 1 + sqrt(44)\/sqrt(4))**2.\nAnswer: -31*sqrt(11)\/12 - 421\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58174 is divided by 639?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -413968 or -413965?\nAnswer: -413965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from dsadsadddddaa.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -672428?\nAnswer: 672433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 189 (b) 0.0333 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/3 - 92*u\/9 + 64\/9 = 0. What is u?\nAnswer: -16, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 4, a: 3, f: 2, q: 8}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 5*p**2 + 7*p - 7. Give g(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1006\/(-6))\/(715\/132). Let n be 16\/(-40)*(-77)\/(-1). Let o = z - n. Which is the third smallest value? (a) 0.4 (b) o (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 1\/4 (c) -9 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1827.28 + -29.28. Let s = 1796.817 - a. Round s to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-2))\/(10\/(-4)). Suppose i - 5 = 2*t, -4*t - p = -i + 3. Calculate the greatest common factor of 45 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2. Let n be (10 - -2)*3\/4. Let s(l) = 3*l**2 - 4*l - 4. Let t(c) = -5 + 14 + 7*c + 2*c - 6*c**2. Let o(w) = n*s(w) + 4*t(w). What is o(u(q))?\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**5 - 20*l**4 - 18*l**3 + 128*l**2 + 104*l - 192 = 0?\nAnswer: -8, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -169\/108 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**8*(u*u\/(u*u**(2\/21)))\/u*u*(u*u\/u**(1\/4))**(-47) assuming u is positive.\nAnswer: u**(-6161\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-1)\/((-1)\/((-10)\/(-5))))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52154196?\nAnswer: 2, 3, 4346183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 500 + -200. Let f = 1031 - n. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsr when three letters picked without replacement from rkrxsbt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -1044 (c) 0.5 (d) 1.239\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-667730)\/(-350))\/(3*3\/225) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*b**4 - b**2 - b**2 - 14*b**2 + 6*b**2 + 11*b**3 + 8*b**2 in the form t*b + f*b**2 + n + k*b**4 + w*b**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 81. Suppose i*h + 0*h = 40. Differentiate -19*z**2 + h - 20*z**2 + 3*z**2 + 4*z**2 wrt z.\nAnswer: -64*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 5*p + 5. Let i(v) = -2*v**2 - 2*v - 2. Let c(t) = -5*i(t) - 2*k(t). Let m(j) be the third derivative of j**5\/60 + j**2. Determine c(m(f)).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*o**5 + 2*o**3 - 230*o**2?\nAnswer: 3480*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1515 - 3282 - 135 - 2106 = -102*u for u.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 640757348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 349, 534, 721, 910, 1101?\nAnswer: 1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfff when four letters picked without replacement from jfffj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(6\/(-20))*6\/15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 764 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/3))\/s)**28\/(s*s\/((s**(9\/5)\/s*s)\/s*s)*s*s**(-5\/6)) assuming s is positive.\nAnswer: s**(269\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 779 - 520. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {j: 2, p: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -150849.4 plus -471999?\nAnswer: -622848.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3033131 (base 4) to base 6.\nAnswer: 141245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**5\/10 + w**4\/12 - w**3\/3 - w**2 + w. Let b be c(-1). Let z be (-2)\/24 - 5\/(-20). What is the biggest value in 1, b, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2064740, 2064672, 2064604, 2064536, 2064468, 2064400?\nAnswer: 2064332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 + -201?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (505*x + 79 - 79)*(-4*x**2 + 2*x**2 + 0*x**2)*(-2*x + x - x)*(-3 - 1 + 1).\nAnswer: -6060*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 l, and 1 a when three letters picked without replacement from {l: 1, u: 2, r: 3, a: 6}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176085756 and 13710?\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:16 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30876480 and 160815.\nAnswer: 30876480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17017, -17026, -17035, -17044, -17053, -17062?\nAnswer: -17071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4005105 by -299.\nAnswer: -13395","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -316 or 17580?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/150)\/((-20)\/25). Let s(t) be the third derivative of 0 + 0*t + j*t**5 + 1\/8*t**4 - 1\/120*t**6 - t**2 + 1\/6*t**3. Calculate s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2864, -5069, -11046, -22679, -41852?\n\"Answer: -314*m**3 - 2*m**2 - m - 2547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38.76 - 2836.24. Let i = v - -2907.38. Let h = -32 + i. Round h to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 3 (c) 0.3 (d) -1\/5 (e) -1\/181\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 721512150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -579*x + 2148. What is the thousands digit of v(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*i + k - 9, -i - 3*k = -7. Let p(c) = -5*c + 5. Let t be p(i). Let q = -15 + 60. Calculate the greatest common factor of t and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/14 and 7\/5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 41, -2\/7923, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 8861.\nAnswer: 8863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -34.7, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 2*k - 5. Let l be y(7). List the prime factors of 12\/l + 216\/10.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -8 + (0 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d0141 (base 15) to base 7.\nAnswer: -15023326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x*x*x*x*x**(-3))\/x)**12*(x\/(x\/(x\/(x\/(x\/x**(-3\/10)*x)))))**21)**(-36) assuming x is positive.\nAnswer: x**(-13014\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.78. Let y = -0.12 - l. Let o = 0.16 - 0.56. What is the second biggest value in 3, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39258*l - 78519*l + 39262*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1308 + 1308. Solve m = 21*b - 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*u + 722 = -161, -5*q = -u + 884. Let l = -264 - q. What is l rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1140 + 368. Let r = 381 - m. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 5*r - 45, -d - 15 = -7*r + 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-2\/21)))\/(b*b**(-2\/31))*b**(-4\/9)\/b**(-25))**(-21) assuming b is positive.\nAnswer: b**(-45944\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -103?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.1. Let t = 3.6 - 3.3. What is the closest to v in t, 2\/11, 2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + sqrt(2299) + (1 + sqrt(2299))*-3 + 1 + ((-5*(sqrt(2299) + sqrt(2299) + 0))**2 - (-3 + (sqrt(2299) + (sqrt(2299) - -2*sqrt(2299)))**2)).\nAnswer: -11*sqrt(19) + 193117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrvrvvrrrrrrrvrvr. What is prob of sequence rr?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 2*s**2 - s - 9. Let k = 53 - 56. What is the smallest common multiple of n(k) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29852 times -102\nAnswer: 3044904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(2736)*-5 - -4*(sqrt(2736) + (2*sqrt(2736) - sqrt(2736)) + sqrt(2736)).\nAnswer: 504*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1353*l**2 + 7*l - 50. Let x(t) = 902*t**2 - 5*t + 36. Determine 7*x(g) + 5*z(g).\nAnswer: -451*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*1*((sqrt(112)*2)\/sqrt(8))\/(sqrt(54)\/sqrt(3)) + 2)**2*6.\nAnswer: -64*sqrt(7) + 956\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 - 85*i**2\/4 - 462*i - 441.\nAnswer: -(i + 1)*(i + 42)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**0)\/v*v)**(-36))**(3\/7) assuming v is positive.\nAnswer: v**(-108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.88 - -0.12. Let y = 9.2 - c. Let f be 3*((-2)\/2)\/(-1). Put -5, y, f in decreasing order.\nAnswer: f, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.0465 rounded to one decimal place?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*t + 75723 = 148*t. Let a = 12333\/7 + t. Find b, given that 1\/7*b**3 + 32\/7 + 0*b - a*b**2 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.7 + -7. Let j = -0.124 - -1.124. Which is the second biggest value? (a) j (b) -2\/3 (c) l (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 33?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - o + 7, 2*o - 18 = -5*x - 0*x. What is the third derivative of 7*a**2 + 0*a**2 + 141*a**4 - 134*a**x + a**3 wrt a?\nAnswer: 168*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 21*u**2 + 163*u + 28. Give d(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*l**2 - 2*l + 290?\nAnswer: 8*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/13 - 133872*l\/13 - 267736\/13.\nAnswer: -2*(l + 2)*(l + 66934)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -660 divided by -33.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4*-5)\/(-39*3\/1872).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4\/11, -2, -17 in increasing order.\nAnswer: -17, -2, 0.2, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6383676 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4))**4\/(v**(-6)\/(v\/(v**9*v))))**(17\/2) assuming v is positive.\nAnswer: v**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*s + 107*s - 765 = 0. Let g be 0 + (-1)\/3 + 33\/s. Which is the closest to -2? (a) g (b) 1\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.53614 + 2.23614. Let l = -153\/5 - -31. Let s = -4\/5 + l. What is the second biggest value in a, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3 + 807382*l**2 + 2*l - 807382 = 0.\nAnswer: -1, 1, 403691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11404266 to the nearest integer?\nAnswer: 3377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 3, 2\/9, 11, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -716 + 10142. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5665661 (base 7) in base 11?\nAnswer: 4420a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = r - 3*r + 65, -2*r + 4*s + 50 = 0. Suppose 0 = 210*o - 211*o + 91. Calculate the remainder when o is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 37, 1, -6498, -1.\nAnswer: -6498, -1, 1, 23, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6047369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 9:08 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17291282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = -24. Suppose -c = 5*x - 108, -c = -3*x + c + 57. Let l = x + s. Calculate the greatest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(-4)\/10 - 0. Let l(b) be the second derivative of -2*b + 1\/6*b**3 + 0 + 1\/2*b**t. What is the derivative of l(d) wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 97*u - 68. Calculate the least common multiple of v(14) and 18.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4923 - 1333 + 1940 - 4054)*(-l**2 + l**2 + 2*l**3).\nAnswer: -16740*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kccc. What is prob of picking 1 k and 1 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 6. Let w be -1 - (-1)\/((-2)\/(-30)). Let z = w - 13. Which is the smallest value? (a) z (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*m + 20. Suppose m*f + 99 = -f. Let k = 51 + f. Solve 0 = -3*y + 3*r - k, -2*y - 2*y - 3*r = -11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 309 + 91. Let k = y + 109. Solve k = -i + 3, 5 = 2*m - 2*i + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266054 is divided by 4157.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -8. What is the units digit of a - (12\/(-3))\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 24 = 4*w, -w = -3*a + 5 + 1. Solve -a*l - 22 = -7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3476885.\nAnswer: 5, 695377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 182bb + -5?\nAnswer: 182b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -409 or -6?\nAnswer: -409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 - 2 + 1 + 2*q**2 + (-298*q - 21*q + 59*q)*(-3*q + 3*q - 5*q).\nAnswer: 1298*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*818\/(0 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 197*v + 9737. Calculate p(95).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q\/q**(-3\/4)*q)\/(q*q**(-1\/3)\/q*q)*q**(-4)*q*q*q**5)**(-37) assuming q is positive.\nAnswer: q**(-3589\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**3\/7 - 57*q**2\/7 - 24*q\/7 + 27\/7.\nAnswer: -3*(q + 1)*(q + 9)*(2*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7990*z**6 - 2*z**3 + 31961*z**2?\nAnswer: -958800*z**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - ((-50 - -37) + 9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*i = 6680 + 1295 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 389 - 89. Let z be 2\/(-6) + 1\/((-12)\/s). Let u(i) = 31*i**2 + i + 4. Is u(z) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -56*u - 327. Let a be v(-6). Let j be 1\/(10\/(-12) + 1). Which is smaller: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 12:58 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*n*u*x - 2*h**2*n*x + 6*h**2*u*x + 2*h*n*u*x - 2*h*n*u + 8*h*x - n*u + 2*u wrt h.\nAnswer: -6*n*u*x - 4*n*x + 12*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2546, -4259, -4342, -1979, 3646, 13349?\n\"Answer: 136*r**3 - r**2 - 2662*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10)\/((-56)\/(-42))*45\/(-6)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 13 = -0*c. Suppose 5*u + 32 = -c. Let i = u - -11. Solve -1 - 7 = -2*o - i*q, -4*o + 2*q = -4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from {f: 9, i: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 + 110. Calculate the least common multiple of g and 51.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33\/28858 or 0?\nAnswer: 33\/28858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -355, -1327, -2969, -5299, -8335, -12095, -16597, -21859?\n\"Answer: -3*l**3 - 317*l**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2312.8135679 and 2481.\nAnswer: 168.1864321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 792\/7, -4, 4.\nAnswer: -4, 4, 32, 792\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l + 48*l - 4810 = 0. Is l a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3, 11476, 1, -0.5, -274 in increasing order.\nAnswer: -274, -0.5, -0.4, 1, 3, 11476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*n - 203, 0 = -4*c - 2*n + 56 + 182. Let g = 91 - c. Suppose -27*m - 14 = -g*m. Calculate the smallest common multiple of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2241 + -1289. Calculate the greatest common divisor of 272 and v.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4425199298?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3684 - 3684 - 224*k + 59*k in the form o + p*k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 15 - 44)*(-3 - 3*r**2 + 3) + (-21*r - 32*r - 22*r)*(2*r + 3*r - 3*r).\nAnswer: -63*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 18*w - 6 = 0. Suppose w*y + 2*y + 3*s - 1199 = 0, 2 = -s. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 312710976 a multiple of 2412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.27 and 0.42.\nAnswer: 0.1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 347506?\nAnswer: 347510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343247521.\nAnswer: 19, 18065659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165848.9t in kilograms?\nAnswer: 165848900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299551, 299221, 298891, 298561, 298231?\nAnswer: 297901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/18*(-111)\/(-148).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 774688?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**7\/112 + 11*n**6\/144 - n**5\/4 + 5*n**4\/12 + 200*n**3\/3 - 301. Let k(z) be the third derivative of o(z). Factor k(q).\nAnswer: -5*(q - 2)*(q - 1)*(3*q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57407917.\nAnswer: 7, 619, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 + -0.6. Let r = f + -1. Suppose -5*m + 2*q = -q - 20, -3*m = -q - 12. Which is the closest to -1? (a) m (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 3*g + 4. Let p be c(-3). Suppose -s = 4*s + p*o - 27, -4*o - 3 = -5*s. Solve 5*m + 2 = -s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**4 - 13*x**3 + x**2 + 19*x - 4. Let l(b) = -15*b**3 + 24*b - 3. Let q(r) = -3*j(r) + 2*l(r). Factor q(d).\nAnswer: -3*(d - 2)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q - q)*((1 - q - 1)*(3 - 3 - q**2) + 2*q**3 + 5*q - 5*q).\nAnswer: -15*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -157*s - 115*s + 6256. Solve 2*a + 6 = 3*p - 3, -4*p + s = a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, f: 1, c: 1}. What is prob of picking 3 x and 1 c?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -32 (c) -0.77 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 1, -2, 8\/7 in descending order.\nAnswer: 8\/7, 1, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 - 2 = 0, -29 = -i + 2*a. Suppose i*q - 16*q = 30. Solve -u - 2*y = -0*u - 10, q*y - 26 = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -393*d + 1318*d**3 + 4799*d**3 - 326*d - 404*d + 1201*d wrt d.\nAnswer: 36702*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1099 by 1.\nAnswer: -1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*s + 273*s - 35 = 0. Let v(l) = -l**2 - 8*l - 2. Let x be v(s). Solve 0 = -4*m + x*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1216) + 1*sqrt(1216) + 5 + 4*(sqrt(1216) + 1))**2.\nAnswer: 5184*sqrt(19) + 263142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*t - 10*t**3 - 3*t + 34 + 23*t**2 - 34.\nAnswer: -10*t**3 + 23*t**2 + 39*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45 - -469b9a?\nAnswer: 469b55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2556501427?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 14) in base 2?\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, a: 2, g: 1, t: 3, f: 1}. What is prob of sequence fa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 7*l - 3*l**2 + 5*l**2 - 18)*(-31*l - 2 + 0 + 27*l) to the form n + s*l + j*l**3 + f*l**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 f when four letters picked without replacement from {n: 5, x: 2, d: 3, f: 10}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 19 = 9. Find the first derivative of 15 - 24*i + 17 - p*i + 6*i**2 + 54*i wrt i.\nAnswer: 12*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333739 divided by -343.\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/476 (b) 3 (c) -7 (d) -3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353004382 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112011012021 + 11?\nAnswer: 112011012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 2342352.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -375 or -377?\nAnswer: -377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2\/5 (c) 138 (d) 17\/368\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**4\/4 - 7*h**3\/3 + 8*h**2 - 18*h - 2004. Calculate d(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 4*s**2 + s. Let k = -26 - -30. Let i be h(k). Solve u = i*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 13*j + 6. Let c = -38 + 21. List the prime factors of l(c).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2310 = 1464*x - 14022 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 3, 0, 386, -326?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*z**2 + 17*z**3 + 12 + 2*z**4 + 43*z - 436*z**2 + 929*z**2 = 0 for z.\nAnswer: -4, -3, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.085624nm?\nAnswer: 0.000000000004085624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/79, 0.11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1216*y**3 + 1197*y**3 - 1025*y**2 + 1045*y**2.\nAnswer: -19*y**3 + 20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16456484 by 5324.\nAnswer: 3091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.359 - -0.041. Let f = 6 - o. Which is the nearest to -2? (a) -0.5 (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -30*s + 5753. What is f(191)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 2*g - g - 2864.\nAnswer: -3*g - 2864","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 137\/(-5) - (-26)\/(-65). Let b be (a - 28)\/((-2)\/10). Let v be 25499 + (2 - 5\/b). Round v to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a milligram in micrograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2892029, -5784048, -8676067, -11568086?\nAnswer: -14460105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 315553603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r + 5*t = 43, -2*r = -2*t - 2. Calculate the greatest common factor of r and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3373 or 3361?\nAnswer: 3373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 n when three letters picked without replacement from aaaannan.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 98565 divided by -3685\nAnswer: -19713\/737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/20)\/((-8)\/1120*-14))\/((-2)\/62)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21330\/74655 - (0 + -1 + 59\/35). What is the nearest to -25 in 1, k, -18, 0.4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 2:33 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 9)*(-14*q**3 + 11*q**4 + 14*q**3).\nAnswer: -44*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 2381154.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/316, 19, 1\/4, -1?\nAnswer: 1\/316","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428430 divided by -5?\nAnswer: -85686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 600*q = 601*q + 8, -2*w = 3*q - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 0 - 2)*(-2*c + 5*c - 2*c) + 65 + 25*c - 65)*(-573 + 82*c + 573) to the form z + f*c + l*c**2 and give l.\nAnswer: 1968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 4*u + 8, 4*p + u = 6. Let z = -4 + 17. Let t = z + -7. Solve -d - 3*d = 3*j - 11, -p*j = t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 438*c - 442*c + 8. Let a(d) = 2*d - 8. Let f be a(8). Suppose -2*n = -f*n - 24. Sort 3, n, -2, c in increasing order.\nAnswer: n, -2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369082319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20654\/(9*8\/36) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*r**4 - 13*r**3 - 9*r - 1 wrt r?\nAnswer: 60*r**2 - 78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -153*v + 162*v - 1539. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.39? (a) -1472 (b) 2\/3 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9311530 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - 17*l**2 - 14*l + 7. Let s be m(-5). Which is the nearest to s? (a) 4 (b) 3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198821218 a multiple of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 120496*n - 50075760.\nAnswer: 4*(n - 30534)*(n + 410)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -212 - -213.69. Which is smaller: 0.2 or r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1478 + 19212\/13. Suppose -33 = -4*y - 9. Let n be (5\/(45\/y))\/3. Does n = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + v + 2. Let u(g) = g**3 - 10*g**2 + 8*g + 7. Let f be u(9). Let d(t) be the second derivative of 1\/6*t**3 - t + 0 + t**2. Give f*x(z) + 3*d(z).\nAnswer: -2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(2*p + 0*p + 0*p) + 6315*p + 843*p - 488*p + (-4 + 0 + 5)*(3*p + 2*p - 3*p) to j + m*p and give m.\nAnswer: 6670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66\/337 - 23437\/117950. What is the common denominator of -53\/195 and k?\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4316151 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.8006 - 0.0594. Let m = -0.86 - p. What is the third biggest value in 0, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -18*z**2 - 82*z - 47. What is u(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -7, 39, -4 in ascending order.\nAnswer: -8, -7, -4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c39 - 1?\nAnswer: c38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6. Let d(v) = v**2 + v + 1. Let n be d(-2). Suppose -3*j + 4 = 2*j + n*o, 0 = 4*j - 4*o - 16. Solve -6 = j*i, h*s + 24 = -3*s - 3*i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from vktatvkkkkk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 600 divide 46758826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -3 (c) -590673\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5 + 7 = -3*l, -5*x + 3*l - 15 = 0. Let o be x\/5 + (-9)\/(-15). Suppose 2*r + 2*a - 10 = 0, -3*a + 15 = 3*r - a. Solve -r*u + u = o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6335, -6361, -6385, -6407?\n\"Answer: q**2 - 29*q - 6307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -0.05, 657825, -2 in descending order.\nAnswer: 657825, 1\/8, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 7 + 4 + 6*b - 8 + b**2 + 0*b**2. What is the units digit of o(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152)*2 - sqrt(152)))\/sqrt(8) + 3*(2 + sqrt(19)) + (2*sqrt(76) - (sqrt(19) + 1)*-1).\nAnswer: 7 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5 = -5*h, 2*k = -4*h + k + 15. Suppose 1812*n - 1347 = -4010 - 6397. Sort n, h, -4, 2 in ascending order.\nAnswer: n, -4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3 - 95. Let v be y\/(-21)*3*16. Suppose -12*i + v = -10*i. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*p = -s - 62, 2*s = -3*p + 40. What is the third derivative of z**4 - 10*z**4 + 8*z**4 + s*z**2 wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + v = 8, 5*t = 4*v - 23 + 36 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -109*y**2 + 558*y + 9. Calculate d(5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 221\/296100 and 151\/33840?\nAnswer: 1184400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l + 125. Let m be b(-20). Suppose m = 3*c - 2*g, -2*g - 13 = -5*c + 22. Suppose 5 = s + 2. Sort -2, c, s in increasing order.\nAnswer: -2, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-27 + -77 + 91 - (-37 - -1)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282, -548, -802, -1038, -1250, -1432?\nAnswer: -1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*q - 4, -2*u + 11 = 2*q + 1. Let o be (-12)\/3*(-1)\/2. What is the first derivative of -b - 2 + u + o wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 760 (base 15) to base 16\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152 - 107.6. What is q rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-173)\/5 + 4932\/8220.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**46\/(y\/(y\/(y\/y**(-2\/25))*y))**(-10) assuming y is positive.\nAnswer: y**(-226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/20 - 3*n**4 - 3*n**2 - 3*n + 1. Let c be o(36). Let f(r) = 2*r**2 + 6*r - 8. What is f(c)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -47*d**9\/168 + 3*d**8\/112 + 42*d**5 - 2*d**2 - 12. Find the third derivative of z(j) wrt j.\nAnswer: -16920*j**3 + 540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + (45 - 42 - (2 - -3) - 6)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.37 - 1.97. Let q = 2.9 + p. What is q rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, 1\/2, 0.09, -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -29 + 0 + 8 + 65*a. Is p(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 390 = -2*z. Let a = 13 + -9. Suppose -68 = -4*v + a*h, -5*v + 0*v = 4*h - z. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = 5*g + 2*j, g - 2*j - 3 = 0. Suppose y + 0 = -g. Let x = y + 2. What is the greatest common factor of x and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -139, -212, -291?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*z = -70*z + 336. What is the greatest common divisor of z and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 12849191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 229494 and 6.\nAnswer: 229494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**6\/120 - s**5\/30 - s**4\/24 - s**3 + 18*s**2. Let o be j(5). Calculate the highest common divisor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -10. Let s = p + 5. Suppose 5 = -h + 3. What is the nearest to 1 in h, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3975.217 + 3.\nAnswer: -3972.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 32654, -9 in decreasing order.\nAnswer: 32654, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 494*k + 0 - 1152*k - 2698*k)*(4 - 3 + 1).\nAnswer: -6712*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -32. Let o be (c - 0)\/(-2 + 0). What are the prime factors of o + -6 - (-1 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 372 + 122. Let y be (-24904)\/99 + -1 + 6. Let f = y + c. Put -1, 2, f in ascending order.\nAnswer: -1, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/4)\/(-18*(-4)\/(-1968))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*i**2 - 9*i + 1060 wrt i?\nAnswer: -42*i - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**4\/12 + v**3\/6 - 211*v. Let p(d) = -14*d**3 + 5*d**2 + 5*d. What is p(l) - 5*r(l)?\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**3 - 16837100*h**2 + 599581632 wrt h?\nAnswer: -9*h**2 - 33674200*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 5.7. Let m = o - 9.7. Let h = m - -4. What is the smallest value in h, -2, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 51. Suppose -4*t = 3*n - 58, 6*t - 3*t - 56 = 4*n. Calculate the remainder when w is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-234)\/2*((-32)\/(-144))\/(11\/((-198)\/(-12)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 189510334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 7:11 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365 + 4.753.\nAnswer: -360.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/4)*((w**(2\/7)*w)\/w)\/w)\/(w*w**1\/w*w*w**(-3\/4)) assuming w is positive.\nAnswer: w**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 93*u - 78. What is the tens digit of g(52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 + -4 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1101 and -0.2?\nAnswer: 220.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24244*h**5*y + 4*h**2*y**2 + 2*h*y**2 + y**2 + 2520*y + 1 wrt h?\nAnswer: 484880*h**3*y + 8*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*u + u. Let o be ((-4)\/u)\/(2\/12). Find the common denominator of 131\/12 and 2\/o - (-147)\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 210.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8970985.\nAnswer: 5, 17, 105541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5 - 740*p**4 + 5748*p**3 - 14940*p**2 + 12744*p = 0. What is p?\nAnswer: 0, 2, 3, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*y - 16*y - 22*y + 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 18*d + 36. Let h be l(-16). Let g be 3 + h\/((-8)\/6). Suppose 3*r + 83 - 95 = g. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280844790 divided by 10\nAnswer: -28084479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 - 52*x**2 + 263*x + 899. What is h(16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20)*49230\/(-547))\/((-3)\/9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(1377))**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/6)\/(1\/(-2)). Let y(k) be the third derivative of k**5\/60 + 7*k**4\/24 + k**3\/3 + 3*k**2. List the prime factors of y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5592365 divided by -185?\nAnswer: 30229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/4549288 and -81\/290.\nAnswer: 22746440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4 + 17*a**3 + 16*a**2 = 0. Calculate a.\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 7*c + 2706. Let b = 828 - c. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18\/7 (b) -25\/9 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0551229 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = -2*b, -5*t + 6*b = 2*b + 1. Calculate the greatest common factor of t and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 6:20 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 2*w - 2. Let q be s(-4). Let k(p) = q*p + 35*p + 36*p - 111*p. Let a(v) = -v. Let d(o) = 2*o. Let t(f) = 4*a(f) + d(f). Determine t(k(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*d, -3*y + 2*d - 3*d + 7 = 0. Let p = 12 - 12. Suppose -2*t = -p*t - 36. Calculate the smallest common multiple of t and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 552 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**6\/6 - y**5\/5 + y**4\/2 + 2*y**3\/3 - y**2\/2 - y - 1. Factor o(v).\nAnswer: -(v - 1)**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3840, -7774, -11792, -15900, -20104, -24410, -28824, -33352?\n\"Answer: -a**3 - 36*a**2 - 3819*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1706151 (base 10) to base 6.\nAnswer: -100322503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13083994 or 13084009?\nAnswer: 13083994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 17 = 5*u, u + x - 6 + 5 = 0. Solve 5*m - u*m - 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8078 - -8108. Let r(n) = 65*n**2 + 30*n + 30. Let q(g) = g**2 + g + 1. What is m*q(w) - r(w)?\nAnswer: -35*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72211707*g**3 - 85162902*g.\nAnswer: -433270242*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 - -112. Suppose 0*k = 3*k - 30. What is the lowest common multiple of 3*(-395)\/(-60) - w\/8 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -9) + -8 + (3 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 27 - 102. Let p = c + 0. What are the prime factors of (1 - (-21)\/p)*-35?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + x - 125. Suppose -4*i = -4*r + 32, 4*r - x - 11 = 5*i. What is the tens digit of (-2 - -1)\/(r\/(-108))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29837 is divided by 373.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-5))\/(8\/(-20)) - 11 - 4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4388 divided by -340?\nAnswer: 1097\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-1)\/j)*j*j\/j**(-2)*j)\/(j**(-3)\/j)**(2\/7) assuming j is positive.\nAnswer: j**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4570035994 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160782?\nAnswer: 2, 3, 127, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen quarters of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40 - 26f29?\nAnswer: -26f69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 201 - 4*i**2 + 67 - 182 to o + j*i**2 + w*i and give o.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(8) + ((sqrt(50) - sqrt(2)) + -4)**2 + -3)*2.\nAnswer: -88*sqrt(2) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14708606 = -4*x - 2*y + 12948394, -4*y - 27656988 = -4*x. Let z = 4450552 + -2364801. Suppose b = z + x. What is b rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 33*j - 47*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/26*9\/((-432)\/(-64)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -43.9. Let k = -2.4 - x. Suppose b - 8 - 4 = 0. What is the third smallest value in k, 4\/9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*l**2 + 0 + 2\/7*l = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -25.3. Let t = 0.3 - u. Let p = 697\/7 - 99. Sort p, -2\/11, t in increasing order.\nAnswer: -2\/11, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -5*a**6 - 10*a**3\/3 - 2. What is the third derivative of r(j) wrt j?\nAnswer: -1800*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y + 10 = 2*i, 0 = -2*y + 2. Find the third derivative of -3*h**3 + 3*h**2 + h**i - 2*h**2 + 2*h**2 wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.510357 millimeters to centimeters.\nAnswer: 0.0510357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - 3.05. Let o = -5 + 6. Let h = -4 - o. Put -2, j, h in descending order.\nAnswer: -2, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/135286 and 53\/52592.\nAnswer: 20563472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 f when three letters picked without replacement from zyfyyyzyfyff.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 0*c - 651 = 0. Let y(g) = g**3 + 8*g**2 + 2*g + 6. Let b be y(-8). List the prime factors of 4\/b*(-4 + -1) - c.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 22. Suppose -4*b = -2 - 66. Calculate the remainder when j is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2394 + -2385. Solve -5*l + 20 = 2*c + 3*c, 3*c = 4*l - b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 2069053.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 7*g**2 - 7*g - 6. Let r be d(8). Let w(c) = 5 - c + 2 + r*c. Calculate the smallest common multiple of w(-6) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 8*f - 1. Let y(o) = 2*o**2 - 7*o. Let k(r) = 4*v(r) + 5*y(r). Suppose 4*p + 6*p = 40. Does 5 divide k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1493, -3059, -4645, -6251?\n\"Answer: -10*w**2 - 1536*w + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*y + 4 = -2, 4*b = y - 12. Let g be (-10)\/(-4)*(5 + b). Suppose 0 = g*i - 0*i + 30. Sort -5, 4, i in increasing order.\nAnswer: i, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35360 divided by 26?\nAnswer: -1360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 410538343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 + -207. What is the units digit of 6 + -5 + 1\/(-1)*x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2300 and 323840.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**2 - y + 1. Let b be d(1). Let s(a) = -10*a + 3. Let q be s(b). Suppose -2*g = 8, -3*n + q + 83 = g. Round n to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a8 (base 11) to base 5.\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-16))\/(12\/320). Solve 0 = -17*k + o + 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 2. Let k(o) = -o - 3. Calculate -3*k(l) - 4*p(l).\nAnswer: -5*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h - 214*h - 188*h)*(-11*h**2 + 11*h**2 + 6*h**3).\nAnswer: -2460*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-134)\/(-2814))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 8*n**3 - 2*n**4 - 15\/2*n + 11*n**2 - 1\/2*n**5 = 0. Calculate n.\nAnswer: -6, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*b - 3216 = 188*b. Solve 3*r = -b + 180 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-10)\/(r*r*r**18))**(-16\/9))**50 assuming r is positive.\nAnswer: r**(8000\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*o - 9 - 7 + 16 as t*o + q and give t.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -132, 5, -4, -1 in increasing order.\nAnswer: -132, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1 + 3 - 11 + 8*t. Calculate the remainder when y(5) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -933.1 + 933.25. Which is the fifth smallest value? (a) -3 (b) 0.1 (c) 1 (d) t (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/18 - (-1154140)\/(-414). Do b and -2787 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*o + 309 = -56 - 69. Let h be 1 + 1\/(-2)*-8. Solve 2 = h*p - o*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8 - 187\/(-136)*2. Let j = 1 + -4. Let z be (5\/3)\/((-1)\/(-3)). Sort j, z, v in increasing order.\nAnswer: j, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 5 = 0. Suppose -r - l + 3 = 0. Let d be (12\/6)\/(r\/4). Which is the third biggest value? (a) -0.3 (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = g. Suppose 26*w - 15*w + 1529 = 0. Let b = w + 136. Put g, 1, b, -1 in decreasing order.\nAnswer: g, 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 568 by 2.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32719935.\nAnswer: 3, 5, 2181329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.18 - -0.18. Which is greater: -3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**3 - 24*l**2 - 60*l + 374. Give w(3).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*a*d**3 - 38*a*d**2 - 43*a + 2*d**3 + 1937*d wrt d?\nAnswer: 126*a*d - 76*a + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, -2, -3, -1 in increasing order.\nAnswer: -15, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 5*n**2 - 4*n + 2. Let h be f(-4). Let q = -46\/7 - -43\/7. Which is the third biggest value? (a) h (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*3\/(-9)*-12. Suppose 0 - u = 2*r, -s + 4*r = -26. 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: Let m(z) = 2*z**2. Let l(o) = 5*o - 13. Let p be l(7). Let f(h) = p*h - 6*h - 3*h. Give f(m(u)).\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -0.05126.\nAnswer: -0.0030756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 7:13 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 270 - 179. Is m a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.405 in -112, -3\/2, 554?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29432 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 559690+-175\nAnswer: 559515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/25, -532321, 1.\nAnswer: -532321, 8\/25, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 2 (b) -0.2 (c) 0 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5 - 3049*f**4 - 9132*f**3 + 18284*f**2 + 24368*f = 0.\nAnswer: -3046, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*z - 4*c, 5*z + c = 2*c + 26. Suppose -3*t + 3 + 0 = z*j, -4 = j - 4*t. Suppose 0*k - k + 37 = j. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16305 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 34, 53?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 9, 42, 0.\nAnswer: 0, 3, 5, 9, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*g + 5*g = -5, 4*a + 2*g = -10. Sort 8, a, -2 in decreasing order.\nAnswer: 8, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 v when four letters picked without replacement from gruurvrvuurrvru.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/45 and 41\/1325?\nAnswer: 11925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 845*j**3 - 2*j**2 + j + 2. Suppose 23 = x - 4*y + 2, 0 = y + 5. What is the hundreds digit of s(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3522, 7121, 10718, 14313, 17906, 21497?\n\"Answer: -k**2 + 3602*k - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6106\/180127 - (-396)\/(-8201)?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 5*f + 2. Let c be k(-5). Let x = 25 - 14. Suppose -m - x - 10 = -2*d, -d + 2*m = -9. Solve -n + 5*r = -3*n - d, c*r + 14 = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47940*p**3 + 4*p**2 - 1298885*p wrt p?\nAnswer: -287640*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**2 + 374666. Let w(r) = 3*r. Give f(w(p)).\nAnswer: -45*p**2 + 374666","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*i + 783 - 164 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5*3.942\nAnswer: -19.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**4\/30 - t**2\/5 - 8*t. Suppose i(n) = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -270221 or -270223?\nAnswer: -270221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11143696702 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daqdqaqddda. What is prob of picking 2 q and 1 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -591715685*f**3 - 105*f**2 + 3317*f - 132.\nAnswer: -3550294110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 less than -4442792890168?\nAnswer: -4442792890286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2305188 is divided by 2550?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 9*n = 656. Find the second derivative of -328*y**4 + 27*y + n*y**4 - 208*y**5 wrt y.\nAnswer: -4160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 12. Suppose 0 = -2*f, -i*f + 31 = 5*g - 9. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -29 (b) -2\/45 (c) -2 (d) -2\/5 (e) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**2 - m. Let f be 4\/2 + 1 + -1. Let b(q) = 2 - 3 + 4*q**f - q**2. Let g(i) = -3*b(i) - 2*h(i). Give g(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 120. Suppose 112 = x - 0*x. Let d = x - p. Calculate the remainder when d is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*d - 39 = 0, -r - 2 = -0*d + 5*d. Let f(t) = 5*t**2 - 2*t - 5. Let a(v) = 6*v**2 - 2*v - 6. What is r*f(c) + 6*a(c)?\nAnswer: c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 253?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48\/30)\/((-2)\/5). Is 10 a factor of 20 + (-8 - d - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/(-1)*-6. Let v(a) = 6*a + 3 + a**q + 0 + 2. Let n be v(-6). What is the highest common divisor of n and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4220 + 12510?\nAnswer: 21130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 4. Which is the nearest to -3? (a) d (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25978864?\nAnswer: 2, 1623679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160.247 - 0.247. Let v = 186.1 - a. Let c = -26.09999883 + v. Round c to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -g + 9, 2*g = 20*g - 20*g + t + 36 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18870597433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*z = 10, -t - 2*z = -4*z - 5. Let g(h) = -h + 5. Let q be g(t). Let x(m) = q*m - 2*m + 0*m - 2. Let v(u) = -2*u - 2. Calculate -5*v(c) + 4*x(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n = -50*n + 25*n + 110. Put -3, n, -1, 0, 1 in ascending order.\nAnswer: n, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 21 = 2*u - 3*d, 0 = -3*u + 5*d - 29. Suppose 4 = 2*j - 4*k, 0 = 5*j + k - 1 + 2. Sort j, 2, u, -4 in decreasing order.\nAnswer: 2, j, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by 20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/3 - 10*i**3\/3 - 3*i**2 + 52*i\/3 - 32\/3.\nAnswer: -(i - 1)**2*(i + 4)*(i + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17711867449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4) - 0)*42\/7. Let d = 1 + 0. Differentiate 6*f + d - 3 + q wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/13 + (-1516)\/(-52). Suppose 25*b + 200 = g*b. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.849 - 3.849. Let l = -9.89 + 10. Let j = l - 0.01. Which is the third smallest value? (a) j (b) 2\/11 (c) q (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2 + 3*t - 4. Let l be v(-3). Suppose 0 = g - l*g - 96. Let f = 46 + g. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406\/(-1102)*(-1)\/7*-2.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 19 - 4819*l - 35.\nAnswer: -4819*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004360829245 rounded to six decimal places?\nAnswer: 0.000436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 11:23 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c. Let n(z) = 4*z**2 - 10317*z. What is u(n(k))?\nAnswer: 12*k**2 - 30951*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 19\/2. Calculate the common denominator of v and -64\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d0d + 2587?\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2*j**3 - 4*c**2*j**2 - 6*c**2 + 64*c*j**6 + c - 7*j**4 - 3*j**2 wrt j.\nAnswer: -6*c**2 + 7680*c*j**3 - 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = i + f - 370, -4*i = 4*f - 1440. Does 31 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 21*k - 29. Give h(-20).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 162*x**2 + 10*x + 40. Let v be f(-24). What is the second derivative of 109*z**5 + 3*z + 21 - v*z**4 + 93112*z**4 wrt z?\nAnswer: 2180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 8.52623?\nAnswer: 8.52623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5\/10 + 43*s**4\/10 - 1078*s**3\/5 + 1000*s**2 - 7792*s\/5 + 3848\/5 = 0. Calculate s.\nAnswer: -74, 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 200, -2, 4, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 10:23 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaalaaal. What is prob of sequence aa?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/410 and 11\/28372?\nAnswer: 141860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 4*x**2 + 4*x + 5. Let s(t) = -2*t + 7. Let a be s(5). Let z be o(a). What is the first derivative of -z*m**3 + 2 - m**3 - 39*m + 39*m wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 23*c**3 - 300608*c**2 + 60341132*c + 5249328 = 0.\nAnswer: -2\/23, 204, 12866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (54\/(-63))\/((-1)\/7) and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 3*l + 9. Let i be x(-4). Solve 2*y = 3*r - 10 - 8, 5*y - i*r = -35 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m**2. Let r(q) = -49*q**2 + 1. What is v(r(p))?\nAnswer: -21609*p**4 + 882*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 + 5*g - 193. Is q(-40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*u - 15912 = -517641. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**2 + 0*q**2 + 4*q**2)*(4*q - 3*q + q) + 125*q**3 - 28*q**3 - 21*q**3 as c*q**2 + g*q + r + y*q**3 and give y.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 857795?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*a + 12, -4*r + 2*a - 59 + 35 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5*k = 30, 28*k - 29*k = 4*c + 22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 135312471 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5012*a + 2611*a + 6263*a - 624870 = 0 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -892.7 rounded to the nearest 10?\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.104 + -1.1. What is n rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**2 - 1621*y + 36957. Give p(206).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 489.5045 minutes?\nAnswer: 29370.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(4))\/sqrt(2).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.8739 + 220.0269. Let i = -197 + l. Let y = i + -0.1376. Round y to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170.218272*0.3\nAnswer: -51.0654816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10093, 5, 3, 0, -2 in descending order.\nAnswer: 10093, 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 - 71*v**2 - 3.\nAnswer: -71*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y = 0. Let r be -1*2 + -3 - -2. Suppose -d - 14 = -4*z, 5*d + 18 = 4*z + 6*d. Sort z, y, r in ascending order.\nAnswer: r, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -1 - (1 + -6). Suppose -5*z + 2*o - 905 = 0, -5*o + 465 = -2*z + 82. Let y be 3\/7 - z\/g. Calculate the greatest common divisor of 91 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686945 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: What is the common denominator of 94\/105 and -73\/2835?\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 5*u + (u + 7*u + 9*u)*(-3 + 0 + 2))*(u**2 - 2*u**2 - 2*u**2).\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, 0.3, -6 in descending order.\nAnswer: 0.3, -4, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -55*f**4\/4 + 7*f**3 - 2*f**2 - 141. Find the third derivative of l(v) wrt v.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 487 + 3365. Suppose 3*k - k = n. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118555 is divided by 590.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90781, -362819, -816115, -1450675, -2266505, -3263611?\nAnswer: -4441999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w + 3 - 45 = 0. Suppose 5*v - 2 = -w*x + 28, -4*v = 5*x - 92. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -15*i - 24. Let h(b) = 3 + 5 - 9 - b. Let x be 2\/(-4)*0 + 18. Let v(s) = x*h(s) - o(s). Calculate v(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36558815.\nAnswer: 5, 43, 97, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 36 = 4*t. Let z(n) = 2*n**2 - 19*n + 21. Does 6 divide z(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 205?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-40 - -36 - (-16 + 7 + -5)) + 127).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11834 and 194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 2*l = -10, 2*g = -9*l + 4*l - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4211*a - 3559 + 6304 + 26732 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3568 + -0.3568. What is the closest to -2\/25 in -10, v, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -359 - -370. Let w(n) = 3*n. What is the remainder when w(9) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:16 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 1. Let j(m) = 7*m**2 + 4. Suppose -119 = -2*x - s - 123, 8 = -4*x + 3*s. Determine x*u(w) - j(w).\nAnswer: -5*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whhhhwc. What is prob of picking 1 w and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-2)\/(-2))*-1. Suppose -a - 2*a = n. Find q such that 4\/5*q**4 + 0*q - 4\/5*q**2 + a + 14\/5*q**5 - 14\/5*q**3 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*m**2 - 2*m**2 - 4*m**2)*(-196 - 1419 + 350)*(0*m + 0*m + 2*m) as l + f*m**3 + s*m + n*m**2 and give f.\nAnswer: 35420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 2*u**2 + u - 1. Let b(l) = 4*l**3 - 11*l**2 + 4*l - 17. Let w(m) = b(m) - 5*i(m). Calculate w(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2 + 2 = 0. Let r(g) = 35*g**2 + g + 1. Calculate the remainder when r(c) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49684001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -17*b**7\/7 - 4*b**3\/3 - 207*b + 538. What is the third derivative of p(w) wrt w?\nAnswer: -2040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4663*r - 13972*r + 4661*r + 4651*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a**2 - 5*a + 1. Let t(v) be the first derivative of 35*v**3\/3 + 15*v**2 - 5*v + 4. Let z(u) = -34*g(u) - 6*t(u). Factor z(x).\nAnswer: -2*(x + 1)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*y - 13*y + 18*y)*(1 - 2 - 1).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.33378t in micrograms?\nAnswer: 30333780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 12:35 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, x: 5}. What is prob of picking 2 j?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 660, 591, 494, 363, 192, -25, -294?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3516083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020.615 rounded to the nearest 10?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjqqthjhhqtwqha. What is prob of picking 2 w, 1 j, and 1 h?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from {h: 4, l: 2, t: 1, k: 1, q: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 28 + -36 - (-4 - (100\/5 - 1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00025832138 rounded to six dps?\nAnswer: 0.000258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w - 34*w**3 + 9*w**2 + 5 + 17*w**3 + 19*w**3. Let s be z(-4). Let t be 4 + (-34)\/s - -2. Which is the third smallest value? (a) 0.5 (b) t (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 44, 67, 108, 173, 268, 399?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3203, -6507, -9825, -13163, -16527?\nAnswer: -19923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 4) + (-2 - -1). Suppose 3*f + 72 = -2*t + 5*t, f + 68 = 3*t. Suppose -l + 4*z = 9, 7*l + 3*z + t = 2*l. Put c, -4, l in decreasing order.\nAnswer: c, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 246438 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421053?\nAnswer: 3, 140351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -35.32.\nAnswer: -35.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 5. Let z(f) = -f**3 + 7*f**2 + 2*f - 9. Let s be z(7). Let g(r) = -2*r + 4. Let k be g(s). What is the units digit of x(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*j + 7, 4*j = 2*t + 2*t - 28. Suppose 3*q - 6 = -t*o, -7*o + 3*o + 2*q = -2. Which is the nearest to -0.1? (a) -2\/7 (b) -0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -33, 2\/13, 1.7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(-3*-2*sqrt(5)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65945 times -7513?\nAnswer: 4954.44785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*q, -4*q = 4*a - 3*a. Let l = 5 + a. Suppose -k + 18 = l. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 + w. Let b(j) = 1. Let t(c) = -c + 2. Suppose 0 = 7*u - 2*u - 5. Let h(d) = u*t(d) + 2*b(d). Let y be h(5). What is l(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-1 - -2 - (10 + -11 + -2)) + 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*d - 36 = 0, -b - 18*d - 475815 = -475705 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 + -6.7. Let u = 5.2 - z. Let y = u + -15. Which is the closest to -0.1? (a) y (b) 0.5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + -129*129\/(-4149). Let v = s + 23306\/18901. Calculate the common denominator of v and (-250)\/(-30) - 7 - (-118)\/(-6).\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625411 is divided by 4441?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c - 4*c - 6*c**2 + (2*c - 5*c + 4*c)*(-1 - c + 1) + 3*c**2 - 4*c**2 + 3*c**2 as j*c + y*c**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 3*d**2 + 3*d - 2. Give r(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a56 + 5?\nAnswer: a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -203 + 839. Suppose 0 = 4*b + 2*t - k, b - 155 = -4*t + 18. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 + -14. List the prime factors of a.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -8, 5, -24, 3, 23 in increasing order.\nAnswer: -24, -10, -8, 3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 + 4*n**3 + 2*n**4 + (-4 + n + 4)*(-208*n**3 - 162*n**3 + 101*n**3).\nAnswer: -267*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 307, 8 in increasing order.\nAnswer: 0, 8, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 28*j**2 + j. Let f(m) = m. What is t(f(q))?\nAnswer: 28*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-6)*(323604\/4545)\/(8\/(-10)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m = 51*m - 30968. What is the remainder when m is divided by 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, -1\/3, -0.3, 0.084 in increasing order.\nAnswer: -14, -1, -1\/3, -0.3, 0.084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 6. Let l(f) = 5*f**2 + 0*f**2 - 4*f**2 - f. What is the units digit of l(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - o**4 + 2*o - 182*o**2 + 369*o**2 - 188*o**2 to the form r*o + f*o**4 + b + p*o**2 + v*o**3 and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 20*r**2 + 1. Let s be u(20). Let n be (4\/(-12))\/(4\/(-12)*s). Let t(o) = 15 - o**2 - 7 - 2*o - n + o. What is t(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 + 0.3. Sort 6, 3, b.\nAnswer: b, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1462 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9810199.\nAnswer: 7, 317, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -161.927031 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(-2)))\/d**(-1\/3))\/(d*d**2)**(-35))**(-2\/13) assuming d is positive.\nAnswer: d**(-644\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -2*q**3\/3 - 8*q + 11. Differentiate o(l) wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -496, 0.5, 2\/5, 2, -1\/10, 2\/19, -2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 4 (c) 6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - b + b)*(-2 - 3 + 4)*(-b - b + 6*b) + 2*b**2 - 3 + 3 + (5*b**2 - 20*b + 20*b)*(-5 + 4 - 2) as o + n*b**2 + s*b and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**4\/12 + y**3\/6 + y**2 + 3*y. Let o be q(2). Let m(v) = v**3 + v + 20. What is the lowest common multiple of m(o) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11771.1 - 11771. What is the third smallest value in 74, 2, f, -5, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.97 + 0.03. Let n = 15.9 - 1.9. Let w = n - v. What is the third smallest value in -0.5, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(3 + -6) + -1. Let w be c\/(-9) + 411\/27. Solve 0 = -23*x + 28*x + w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (7 - 2 - -16) + 11 + -15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (16\/(-22))\/4. Let d = 94733\/146970 + -7\/6390. Let l = d - 1\/23. Put v, l, 3\/4 in increasing order.\nAnswer: v, l, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2*d - 1777 = -1773, 6*d - 21 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - -6) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**3*z*(z*z\/z**(-7)*z)\/z*(z**0\/z)\/z*z*z*z**(1\/4) assuming z is positive.\nAnswer: z**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7651 - -7721. Calculate the greatest common divisor of 10570 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2. Let q be h(2). Factor q*f**3 - 2*f**3 + 334*f**4 - 337*f**4 + f**5.\nAnswer: f**3*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.9 + 11.949. Let f = 0.089 - s. Let c = -0.36 - f. What is the closest to c in -4, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 116 + -5?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 + 17 + -22 + -3. Put t, 2, 30, -4 in descending order.\nAnswer: 30, 2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -168*l - 24. What is the units digit of j(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 247655335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pddpddddpdppp. What is prob of picking 1 d and 1 p?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45149, -45036, -44923?\n\"Answer: 113*x - 45262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (1 - -2))*-1. Let u(g) = 64*g - 254 - 288 + 106. Let s be u(7). Solve -s = a*w - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -714 - -2117. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/4163 in 0.5, -1\/4, -29?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6025945715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c = 0. Let n = -4.27115 - -0.27115. Let a = -0.2 + 1.2. What is the closest to -10 in n, c, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*s - 57 = -69*s. Solve 4*o - s = w, -2*o - 14 = 5*w - 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 11*h - 17. Let x(c) = -c**2 - 5*c + 9. Let m(n) = -2*v(n) - 5*x(n). Let j be m(5). Let g = 37 - j. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 1\/2*p**2 - 1\/3*p**3 + 0*p - 3. Factor g(d).\nAnswer: -d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 3*p + 10*p**2 + 3*p**2 + 7*p**2 + 8.\nAnswer: 23*p**2 - 3*p + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -29*b**4 - 5*b**3 + 5*b + 38. Let w(v) = 28*v**4 + 6*v**3 - 6*v - 39. Let y(h) = 6*c(h) + 5*w(h). Differentiate y(p) wrt p.\nAnswer: -136*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 504, 1985, 4452, 7905?\n\"Answer: 493*c**2 + 2*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 269470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 1*(-11)\/1. Suppose 2*c = k + s, -c + 4*k + k + 14 = 0. Solve 2*g = -3*w + 10, 0*w - c*g + 20 = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 15) in base 2?\nAnswer: 1010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-92)\/(-2) - 1)*83581\/3021.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 22. Is 17 a factor of (-16 - (-1)\/t)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3360*k**2 - 1663*k**2 + 2 - 1544*k**2 in the form b*k**2 + z*k + t and give b.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196815597?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -101*j**3 + 67*j - 23. Let r(z) = 34*z**3 - 22*z + 8. Let l = -292 - -275. Let v(m) = l*r(m) - 6*q(m). What is the second derivative of v(i) wrt i?\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = -3. Let l(y) = -8*y**3 + 6*y**2. Let t(j) = j**3 - 3*j**2 + 4*j + 2. Let v be t(2). Let h(a) = a**3 - a**2. What is k*l(i) + v*h(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -1923 (c) -4447 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.066mg in nanograms?\nAnswer: 143066000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 530215\/36 + -14726. What is the common denominator of -49\/3 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 9. Let h be o(4). Suppose -h = -m + 7. Calculate the highest common divisor of 60 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458862739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 2. Let m be d(-2). Let a be ((-3)\/(-3) + m)\/(-1). Let b = 233 + -2095\/9. Sort b, a, -2\/13 in ascending order.\nAnswer: a, -2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1886 and 16721?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 6:07 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 117827.2 and -0.001?\nAnswer: -117.8272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzvgvzggv. What is prob of sequence gz?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/24*((-9)\/(-12))\/(91\/(-3003))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -231 + 238. What is the remainder when 174 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from {l: 2, g: 3, a: 3, d: 1, x: 7, h: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/((-24)\/336). Let d be i - -1 - (19 - 16). Suppose 3*s = d*c - 1907, -387 = -c - s - 4*s. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, -2350\/9, -5.4.\nAnswer: -2350\/9, -5.4, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose 3*y + 4*h - 9 = 23, -p*y - 12 = -4*h. Suppose 4*a - 12 = -4*c + y, -c + 22 = 4*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9248947 + -3?\nAnswer: -924894a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 9725 and 10105.1.\nAnswer: 19830.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d**4*d**5*d**(-5))\/((d\/d**(2\/5))**(4\/17)*(d**(2\/15)\/d)\/d**(-3\/2)) assuming d is positive.\nAnswer: d**(635\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 10433520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.4 in -29, -1\/5, -0.1, 0.1, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 177 and 23.0983.\nAnswer: 4088.3991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -42\/5 (c) -0.028 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.90066 rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-6)\/(-4)*8. Suppose 0*y = q - 3*y - 12, 4*y = 5*q - 71. Factor 9*g**3 - q*g - z*g**2 + 3 - 7*g**3 - 5*g**3 - 9.\nAnswer: -3*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 845 and 33943.\nAnswer: 2206295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2575810?\nAnswer: 2, 5, 179, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 - 2*k**4 + 0*k**2 + (-2*k + 3 - 3)*(5*k**3 - 2*k**3 - 2*k**3) + 35*k**2 + 3*k**4 - 35*k**2.\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*b + 11. Suppose 0 = b*s - 0*s. Suppose 0 = -s*g - g + 259. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8415*m + 30. Let c be y(-1). Suppose 2*r + 14 = 3*o, 13 = -4*o + 6*o - 5*r. Suppose -o*n = -n - c. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2400))\/sqrt(8).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*y = -3*u - 699*y + 360*y - 795, -5*y = u - 145 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2. Let i(v) = -128*v + 1. What is r(i(z))?\nAnswer: 81920*z**2 - 1280*z + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 3:27 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 15*z**2 - 18*z + 16. Let w be b(14). Let r = w + 64. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 55 = -5*d. Let t be 2\/6*d\/5. Sort 5, t, 0 in increasing order.\nAnswer: 0, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1284 is divided by 96?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.45 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-133)\/38 + (-12)\/(-3))*10154 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 24 = 4*b + 99, -2*x = 3*b - 99. Suppose -l - 3*z + 4 = -6, 3*l + 4*z - 25 = 0. Suppose -x = -p - l. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5222 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: 19 - 210*52\/780\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 120*n**3 + 114*n**2 + 236*n.\nAnswer: 2*n*(n - 59)*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjljtjpjg. Give prob of picking 1 t and 1 j.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49727 times 135?\nAnswer: 6713145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhejh. What is prob of picking 1 j and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(1\/(-18)*2 - 0). Let x = -3 - -2.2. Sort 5, x, v.\nAnswer: x, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/98200 and -47\/870?\nAnswer: 8543400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/4 (b) 2\/17 (c) 71 (d) 3\/2 (e) -3\/50\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 17*l - 71 = 0, 271*l - 272*l = -12*x - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.6 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684 (base 14) to base 7.\nAnswer: 3524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -3, 6\/7, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 - 122. What is the tens digit of 12\/o + (-188)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) 2\/25 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(175) + (-5 + sqrt(567)*-1 + sqrt(567))**2)*-2.\nAnswer: -50 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 388 * 8\nAnswer: 3104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/10250883 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -15\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47765?\nAnswer: 5, 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -91. Suppose -1 + c = 4*u. Solve -4*k + 12 = 0, 2*q + 2*q - k - u = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1786 and 18.\nAnswer: 16074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/3)\/d*d**(-5))**(15\/8) assuming d is positive.\nAnswer: d**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1545 - -1545.3. Which is the fourth smallest value? (a) k (b) 0 (c) -1\/155 (d) -5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5*i + 3*k = -2, 5*i - 24*k - 18 = -29*k + 9*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12587 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1937 - 1934) + (0 - 2) + -23.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 1:12 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6506836 to the nearest integer?\nAnswer: 2551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 10 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 45, -4 in increasing order.\nAnswer: -4, -1, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**3\/3 - 5*i**2\/2 + 5*i + 37. Calculate q(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 8*b + 4. What is a(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36767 rounded to two decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.21583 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 285611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -10 - -9 - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5393, 11145, 16897, 22649?\nAnswer: 28401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -2\/7 (c) -22 (d) 44321 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.94 and -10394.\nAnswer: -51346.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.5, 2\/19, -1, -0.2, -3.89, 3.4?\nAnswer: -3.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10311758185 + 88\nAnswer: 10311758273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19106614 is divided by 1264?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 2*m**2 - 11*m - 150. Calculate l(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 25 (c) 1\/3 (d) 0.3 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 267*f**2 + 70689*f + 817. What is z(-164)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 15000000. Let g(z) = -4*z + 6*z - 3*z + 1. Let u be g(1). Let t be a(u). Round t to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 42*m + 190. Let n be w(-37). Solve 58 - 28 = n*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -75*r**3 - 4*r**2 - 6*r. Let o be d(-2). Let x = -84 + o. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 105, -0.0475882 in descending order.\nAnswer: 105, 0, -0.0475882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/6600 and 7\/336600.\nAnswer: 336600","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65218.\nAnswer: 2, 32609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -38. Let o be (p\/8)\/(6\/(-24)). Solve 15 = f + 3*a, -3*f + 5*a - o = 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3242 + -3253 + 1 + 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-33)*(-6)\/(-4))\/(3\/42)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 107*g - 122*g. Solve 0 = -3*n + f - 1, -5*n + 3*n = -5*f + g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.478552 hours to nanoseconds.\nAnswer: 1722787200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11314820 to the power of 1\/2, to the nearest integer?\nAnswer: 3364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + 2*c**3 + 4*c**3 + (-3 + 2 + 0)*(5*c**2 - 5*c**2 - 2*c**3) + 2787 + 2*c - 2787 + 265*c**3.\nAnswer: 269*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -218.2 plus 0.1?\nAnswer: -218.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -19. Let s = -4.53 - -18.55. Let r = s + o. Which is the second biggest value? (a) -1\/5 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -132*m - 254*m - 28989 - 21162 + 7691 for m.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 4. Let w be h(4). What are the prime factors of (-1 + 6\/10)*(-25 - w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, -0.149, -0.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(10\/11)\/z)*z\/(z*z**(1\/38)\/z*z))**(9\/5) assuming z is positive.\nAnswer: z**(801\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((3 + 0 + sqrt(17))**2 - (sqrt(2057) - (1 + sqrt(2057) - sqrt(2057)) - sqrt(17))**2).\nAnswer: -1673 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/3 - 18299*n**4\/3 - 586306*n**3\/3 - 5242186*n**2\/3 - 2932885*n - 1374825 = 0. What is n?\nAnswer: -15, -1, 18331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1354283 is divided by 677115.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 8, s: 6, n: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 25. Suppose 4*v = p + 63, 60 = -v + 6*v + b*p. What is the greatest common factor of 135 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2 - 151*p\/3 + 50\/3 = 0. Calculate p.\nAnswer: 1\/3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -46766, -46764, -46762, -46760, -46758, -46756?\n\"Answer: 2*k - 46768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10575 divided by 5\nAnswer: -2115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + c + 2*c)*(0 + 3 + 3)*(84*c + 61*c - 41*c) to z + m*c + q*c**2 and give q.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 7*o + 12. Suppose 3*n = n - 5*n. Suppose n = m - 81 + 72. What is v(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 5*u + 3. Suppose -2*h + 14 = -0*h + n, 2*n - 34 = -5*h. What is q(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1037, 2.\nAnswer: -1037, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 - 5*n**2 + 29*n - 5. Let m(i) = 2*i**3 + 8*i**2 - 44*i + 8. Determine 8*k(u) + 5*m(u).\nAnswer: -6*u**3 + 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 127696292 and -710073.\nAnswer: 126986219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 0.1, -0.756, 3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -47*s - 22. Let n(o) = 3*o**2 - 2*o - 10. Let g be n(-2). Suppose 4*k + 3*f + 13 = 0, -g*k - 3*f - 20 = -k. List the prime factors of b(k).\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 9:49 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 18 = 7*m. Calculate the highest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 45*d**2 + 84*d + 89. Let q be l(43). Which is the closest to -61? (a) -2\/5 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10975 (base 11) to base 5.\nAnswer: 1001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11679, -23338, -34997?\nAnswer: -46656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyy when three letters picked without replacement from {k: 2, o: 2, y: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72.031 - -72. Let d = y - 0.969. What is the nearest to 0 in 4, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z. Let r(k) be the first derivative of 5*k**2\/2 + 10. Calculate y(r(g)).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3\/2, 76?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0163 and 3?\nAnswer: 0.0489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**2*k**3 + g**2*k**2*v**2 - 14*g*k**3*v**2 - 3*k**3*v - 2*v**2 wrt g.\nAnswer: 6*k**3 + 2*k**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112*t**6 - 6*t**4 + 1971*t**2 wrt t?\nAnswer: 13440*t**3 - 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f + 16*f**2 - 4*f - 1 - 3*f**2 - 2*f**2. Let c be q(-1). Let t = c + -6. Solve -t = 9*o - 4*o, -5*x - 24 = -o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - v + 1. Let k(o) = 1937*o**3 + 3*o - 3. Calculate -k(x) - 3*t(x).\nAnswer: -1934*x**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2\/(s\/((s*((s\/s**(-1\/7)*s)\/s)\/s)\/s)*s)*(s*s**(-1))\/((s*s*s**(-2))\/s))**(-9) assuming s is positive.\nAnswer: s**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and (-105)\/33 - -3 - 350\/(-110).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 164, 231, 322, 437, 576, 739?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06193 + 0.0632705. What is r rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 857.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 10*k**2 + 9*k. Let w be v(9). Let g(x) = 5 - 3 - x - 3 + w*x. Let o(h) = h**2 - 8*h - 14. Let i be o(10). Determine g(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**5 + 1 + 0 + 6*v**4 - 5*v**4 + (-4*v**2 + 0*v**2 + 2*v**2)*(v**3 + 2*v**3 - v**3) + 3*v**2 - 3*v**2 - 3*v**5.\nAnswer: -2*v**5 + v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7923441, 15846863, 23770287, 31693713, 39617141, 47540571?\n\"Answer: c**2 + 7923419*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7466?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3 - 12. Let t(z) = -s + 2 + 2. Suppose 47 = -5*i + b, 8*b = 2*i + 3*b + 5. Let a(k) = -k**3 + 5. Give i*t(f) + 2*a(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12174 + 28354. What is the greatest common factor of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30 - -111d?\nAnswer: 10ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 3. Is (-166)\/4*a + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 0*i**2 + 20*i**2 + 0*i**2 in the form y + d*i + u*i**2 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213141 is divided by 106570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**2 + 3*a + 2. Let w be n(-2). Let l be 4\/(-1)*-1 + 32. Calculate the highest common divisor of w and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let q = -19159\/3 - -6417. Let c(n) be the first derivative of 0*n + 0*n**2 + q*n**3 - 48. Determine c(v(z)).\nAnswer: 92*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**3 + 3*x**2 - 2*x - 1. Let h be m(2). Let d = h + 20. Let n = -672 + 671.8. Which is the closest to n? (a) 11 (b) d (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11, 44, 99, 176, 275, 396, 539?\n\"Answer: 11*g**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.202 (b) -2 (c) -1\/3 (d) -0.2 (e) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/5 - (-39)\/(-120))*2. Let o = -7 + 4. Let a = o + 2.8. What is the closest to f in -4, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22817 times 0.38?\nAnswer: -8670.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 616 - 4*f**2 + 444*f - 886*f + 430*f.\nAnswer: -4*(f - 11)*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17 - -2.33. Let n = s + -0.16. Is n <= -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 2 - 6)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 436565 times -11\nAnswer: -4802215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (2 - -15) - 4. Calculate the greatest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163214 to the power of 1\/2, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 19*l + l**2 + 16.\nAnswer: l**2 + 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22384 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmeememmemmememmemm. What is prob of sequence eme?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 154914216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6278399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 139825 to the power of 1\/2, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwf when three letters picked without replacement from xxnfpxxnffpfwffn.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 3*q = -36 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266167.\nAnswer: 11, 24197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 8*c + 14. Let g be -3 - (5 + -9 + 5). Let a be s(g). Let y(d) = -3 - d**3 + 1 - 1 - 3*d**2 - 3*d. Determine y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**4 + 1323320*c**3 = 0.\nAnswer: 0, 264664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184 - 440. Let k = g - -1117. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 11*f**2 + 5*f + 5. Let u(j) = -16*j**2 - 8*j - 8. Determine -5*u(a) - 8*z(a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -4.994. Let s = -0.01 - y. What is s rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38599726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/8)\/(20\/90). Which is bigger: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/888 and 52\/1221.\nAnswer: 9768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12 - 3 - 4*d + 24 - 11. Let y be i(5). Suppose -345 - 95 = -y*o. Is o a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i**3 + 5*i**2 - i - 2. Let m be w(1). Sort m, -3.4, -5.\nAnswer: m, -5, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzggzggzgzgggggz. Give prob of sequence zzz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 50\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-9))\/((-8)\/(312\/(-13))).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 120 - 725 = 0. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 + 1 + (44 - 33) - 9) + 80.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -96059000 to the nearest one million.\nAnswer: -96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 25 = -5*y, 2030 = u + 5*y + 2005 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a factor of 312541131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 716 (b) 0 (c) -185 (d) -5\/2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 11. Determine r(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**2. Let i(q) be the third derivative of -q**8\/3360 - q**5\/20 + q**3\/3 - 62*q**2. Let p(c) be the third derivative of i(c). Calculate v(p(j)).\nAnswer: -216*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 n when three letters picked without replacement from wnwnnnnennwnnnnnnee.\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 84.8 (b) 0.1 (c) 2 (d) -21 (e) 1 (f) 4 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 691070 and 7816240.\nAnswer: 226670960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 - -5 - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*6.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(121) + ((sqrt(121)*-2 - sqrt(121) - sqrt(121))*-2 - sqrt(121)) + sqrt(121) + sqrt(121))\/(3*sqrt(44)\/sqrt(4)).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -351*j - 989. Calculate the remainder when c(-3) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -50*j + 47*j - 3, 12 = -3*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 998510 and 1397914?\nAnswer: 6989570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 133725865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 68. Suppose 4*x - 2*p + 0*p = -30, 5*p = 2*x + 35. Put 0, -1, d, x in decreasing order.\nAnswer: d, 0, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.107296018 - 0.1073. Round j to 7 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 4 + 0)*(4 - 3 - 2) + (-8 - 1 - 5)*(34 - 4 + 15))*(u**3 + 34 - 34) to w*u**3 + o*u + b*u**2 + n and give w.\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 769*o. Let y(u) = u**2 - 35368*u. Determine l(y(s)).\nAnswer: 769*s**2 - 27197992*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 645 (base 12) to base 13.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2030 is divided by 65.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 31.00105. Round b to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12\/55 - -2\/55. Let i be (1*(-1)\/(-33))\/(3\/2). Let t = 68\/99 - i. What is the biggest value in 1\/5, z, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/(3\/((-45)\/(-3))*2). Let z = 94 + c. Solve -z*r + 4 = -x, -5*x + 3*r - 2 = r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -5 - 5) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -2.9813.\nAnswer: -7.9813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**3 - 25*j**3 - 16*j**3 + 51*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3975370 to the nearest 10000.\nAnswer: 3980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/300*((-2)\/(-4) - 3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-1 - -10) + -20 + -10 + 26 + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 130*x = -3541174 - 11000255. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 652 - 648. Put -14, z, 0 in descending order.\nAnswer: z, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 15*s - 28. Let x be c(14). Let o be (54\/(-63))\/(3\/x). Solve b = -v, -4*v + b + o = -11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 19 = -q, -5*m + 47 = -2*q - 23. Is (52\/8)\/(2\/m) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-72)\/(-20))\/(2\/10). Let x be a\/3 + (2 - 2). Suppose k - 3*t = 19, -x*k + 57 = -k + 4*t. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-175)\/(-35)*(-4)\/50?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 6 + -14 - (-11 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 74 = 5*i - 9*y, 3*i + 2*y = -38 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -209 less than or equal to -211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 6) in base 8?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 4:01 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*(0 + sqrt(19)) + ((sqrt(1216) - -2*sqrt(1216)) + sqrt(1216) - sqrt(1216)))*-5)**2.\nAnswer: 8656875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 6\/31, -22, 2, -74, 0.4, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/22*(-2)\/(-4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 + 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (31200\/9)\/((-50407)\/(-12600) + -4). What is h rounded to the nearest one hundred thousand?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42644, 42671, 42722, 42803, 42920, 43079, 43286?\nAnswer: 43547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyyytyvsytyygyyvyj. Give prob of sequence yt.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6087 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c - 15*c - 14*c - 221*c**2 - 7*c**2.\nAnswer: -228*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 14*s - 10. What is the smallest common multiple of r(-4) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, x: 1, b: 3, f: 1, l: 4}. Give prob of picking 1 b and 1 x.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -702*x**2 + 323*x**2 + 313*x**2.\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3. Let p(q) = -1. Let g(r) = -l(r) + 4*p(r). Let w(o) = -2*o + 3. Determine 3*g(h) + w(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32138 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 5*u**2 - 7*u + 7. Let h(y) = y**2 + y + 1. Let l be h(4). Let v be -21*6\/l*-1. Calculate t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -40. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 7 + 1. Suppose 2*m - 40 = w + 6, t*m - 56 = w. What are the prime factors of 77\/4 + (-27)\/w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 13, r: 5}. Give prob of picking 3 r and 1 b.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 4. Let s = -2953 + 2955. Let o be 2\/26*(-12)\/(-6). Which is the closest to o? (a) s (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5892.86 centuries in millennia?\nAnswer: 589.286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 604 and 200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*g - 181*g + 4 = 0. Suppose 0 = 6*q - 2*q - 2*f, -q + g*f - 6 = 0. Solve q*t + 2*y + 10 = 0, -6*t + t - 15 = 3*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9313, -9280, -9263, -9274, -9325, -9428, -9595, -9838?\n\"Answer: -2*d**3 + 4*d**2 + 35*d - 9350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*v - 5, 4*v = -5*w + 5*v + 25. Solve -5*i + 2*g + 3*g = -5, w*i + 15 = g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000070187012 rounded to six dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z + 0*z**2 - 4\/3*z**3 + 8\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.413849 to 2 dps.\nAnswer: -3.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/3 + 45674\/984. Is 48 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*u + 3*n + 16, 4*n = 0. Suppose 4*c - u = 3. Suppose -c + 2 = -2*i. Solve -1 = t + i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**2\/2 + x - 1. Let o be z(1). What is the second derivative of 0*b**4 + o*b**4 - b + 2*b wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2129 is divided by 305?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 5, 9235, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -11*z + 9. Let w(p) = 5*p - 4. Let n(a) = 4*d(a) + 9*w(a). Let l(f) = 4*f**2 + 7*f**2 + 7*f**2. Determine n(l(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1035, -3839, -8407, -14739, -22835, -32695, -44319?\n\"Answer: -882*v**2 - 158*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 10 - 4 = 0, -24 = -2*g - 4*z. Suppose 3*p - 133 = 3*h + 2, 2*p - 105 = -h. Calculate the least common multiple of p and g.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48447, -193894, -436315, -775710?\n\"Answer: -48487*k**2 + 14*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1.3, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*r + 28 = 211*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**7*j\/(j\/(j**(-2\/65)*j))*j**(2\/33)\/(j**(-16\/7)\/j))**(-1\/29) assuming j is positive.\nAnswer: j**(25292\/435435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, 82, -2, -5 in increasing order.\nAnswer: -5, -2, 4, 11, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r + 1. Let y be g(-2). Suppose -20 = -4*b + 3*i, b - 2*b = 3*i - 5. Solve -b*u + 0*u = -y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 818798 to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4442366 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -39*j - 205 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 272?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1\/5 - (-1554)\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 4:36 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -12 + 2. Let w = g - -16. Let c be (-4)\/6 + 34\/w. Solve 3*m - m = c*z - 6, 4*z = -m + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -16317.6.\nAnswer: -81588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fee when three letters picked without replacement from vppepfppffpppfpffff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/3)\/g**0)\/((g*((g*g\/(g*g**(-1\/8)*g)*g)\/g)\/g*g*g)\/(g*g**2)) assuming g is positive.\nAnswer: g**(-19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i**2 - 20*i**3 + 10*i**2 - 27*i**2.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 2 + 26\/22 + (-10)\/55.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/10*(-40)\/84?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41946892?\nAnswer: 2, 13, 806671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27864164?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - 16238569300858.\nAnswer: -16238569300875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -7*s**3\/3 - 10*s**2 + 143*s. Calculate the least common multiple of k(-5) and 80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + sqrt(126) + 2*sqrt(126) + sqrt(126))\/sqrt(6))\/((sqrt(18) + sqrt(72)\/sqrt(4))\/sqrt(6)).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 132 = 9*l. Solve 5*q - l = 7*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -492492.33\nAnswer: -246246.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nfxnxnnfqxxnfnfnxn.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -9, -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7219 - 7214. Sort j, 0, 22, -3 in ascending order.\nAnswer: -3, 0, j, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 8 - 2\/3*b**3 - 5\/24*b**4 + 0*b - 1\/120*b**6 - 7\/60*b**5 - 9*b**2. Give p(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 158 (b) 3\/4 (c) 473 (d) 9 (e) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16*3\/816)\/(1*2\/6).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h = 55*h - 3542. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-116)\/6*(-7 + 1). Suppose -20*g + 11*g + 261 = 0. Calculate the greatest common factor of g and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + (-2*sqrt(385))\/sqrt(7))\/(1*(3*sqrt(5) + sqrt(5)))*2*-3.\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + -0.1. Let d be 9\/(-1)*(-1)\/3. Put q, d, -5 in increasing order.\nAnswer: -5, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80177.12 kilograms to milligrams.\nAnswer: 80177120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.0788 + -1.9228. Let k = 421 - 417.986. Let s = d + k. Round s to one dp.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -13. Let v = y + 8.026. Round v to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4)*d*(d\/(d\/d**3))\/d)\/(d**(-1\/4)\/d)**(-17) assuming d is positive.\nAnswer: d**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -12. Let u = z - 1.45. Round u to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - ((-35 - -111) + -37)) + (-2 + 7 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c7 - 3c68f?\nAnswer: -3c756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 - (-253)\/(-42). Let t = -65\/14 + o. Calculate the common denominator of -2 - 4\/((-16)\/43) and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(864))\/(-2*sqrt(192)).\nAnswer: -9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/171 and 95\/80572.\nAnswer: 13777812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.78\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/3)\/((-1898)\/27). Let o = 2\/949 - z. Let i = 0.291 - -0.209. What is the second smallest value in 4, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 613*m - 1544*m - 761*m + 101520 for m.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = 8*d - 18. Suppose a - d = 2. Let r = 9 - -6. What is the greatest common factor of r and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -19\/3. Let u = 0.166 + 0.134. Let q = u - 0.7. Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 0, -2, -59, -168 in descending order.\nAnswer: 0, -2, -59, -65, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1195582 and 5.\nAnswer: -1195577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 81046, 81053, 81060, 81067, 81074?\n\"Answer: 7*z + 81039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 32*j + 96.\nAnswer: 2*(j + 4)*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 u when three letters picked without replacement from vqvquu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 328 + -268. Is 24 a factor of 90 - 10\/(h\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, b: 1, a: 1, m: 3, n: 1, t: 2}. Give prob of sequence tonb.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*j - 4 = 13 + 22 + 9, -89*j = 356 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69951 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -262*y**5 + 2*y**4 + 2*y**3 + 54*y - 2. Let h(i) = -i**4 - i**3 - i + 1. Let g(q) = -2*h(q) - n(q). Find the second derivative of g(a) wrt a.\nAnswer: 5240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -16. Let h(w) be the first derivative of -3 - x*w - 3*w**2 + 5*w**3 + 0 - 5*w**3 - w**3. Solve h(p) = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**3 + 0*j**3 - 5*j**3)*(-4468*j - 3168*j - 54*j)*(-2 + 3 - 3)*(2 + 5 - 5).\nAnswer: 30760*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 3) + (3 - 1)\/(-2). Is -7\/2 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1931*l**4 + 1025*l**3 + l**2 + 2669501*l - 1 wrt l?\nAnswer: 46344*l + 6150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlv when three letters picked without replacement from exvvevelvkvexxeeevxe?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/136 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001193 rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 + 79*y**2 - 3*y - 11. Let d(m) = -m**3 + 3*m**2 + m - 3. Calculate 5*d(h) - n(h).\nAnswer: -2*h**3 - 64*h**2 + 8*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*0*6\/12. What is the second biggest value in 3\/5, 1\/2, u, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*b - 14 = -43, 3*o + 3*b - 39 = 0. Suppose o = 3*x - 2*x. Calculate the lowest common multiple of x and 26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**4\/8 + 3309*y**3\/8 - 879195*y**2\/8 + 4312875*y\/8 = 0.\nAnswer: -1325, 0, 5, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59250319*v**2 + 4911699*v wrt v?\nAnswer: -118500638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (54 + 4 + (-16 - -2))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*8\/((-16)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6692, -26770, -60234, -107084, -167320, -240942, -327950?\nAnswer: -428344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, j: 9, g: 4, m: 1, t: 2}. Give prob of picking 3 g.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {v: 4, k: 8, s: 3, r: 2}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(6\/5)*d**(-1\/4))\/(d\/(d*d**2))**(-2\/9))**42)**17 assuming d is positive.\nAnswer: d**(10829\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-78)\/(-3)*(-1)\/5*10. Let i = 29 + q. Let a = 25 + i. Which is smaller: 12\/11 or a?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -120\/143 (b) 0.14 (c) -695\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 134. What is q(4)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 157 = -5*n - 58, v + 4*v + 135 = 3*n + 230 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-6\/11)*y*y**8*(y**(-1))**(-1\/9) assuming y is positive.\nAnswer: y**(947\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 145058 divided by 58\nAnswer: 2501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 30 (c) 505 (d) 0.17 (e) -1 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**2 - 16*l - 15. Determine u(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 != 727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3020*v - 1535*v + 2453*v + 658*v)*(v**2 - v**2 + v**4).\nAnswer: 4596*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 279428 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 92082923 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4577784 by -80312.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2240 (base 13) to base 6.\nAnswer: 34052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 207897819 times -0.2\nAnswer: -41579563.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 15*u**2 + 8*u + 290. Give x(-14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 11:33 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 + i**3 + 0*i**3 + (-6*i**3 + 0*i**3 - 5*i**3)*(3 + 6 + 0).\nAnswer: -98*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -0.3, 0.0239, -436, 1\/5 in decreasing order.\nAnswer: 1\/5, 1\/8, 0.0239, -0.3, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 315171 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 times -2?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28707 - -28706.999982523. Round n to 7 dps.\nAnswer: -0.0000175","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9787 is divided by 1919.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((63\/(-14))\/(-9))\/((-1)\/(-24)). Let m be (q\/9 + -1)*-21. Let w(n) = 3*n + 7. Calculate w(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*n**3*p - 35848*n**3 - 7*n**2*p + 6*n*p**3 wrt p.\nAnswer: -11*n**3 - 7*n**2 + 18*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-six fifths of a millennium?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -339*w + 345*w - 18. Suppose -n + 13 = -5*n - w*i, -3*i = -3. Let g(p) = 2*p + 4. Determine g(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*o - 0*o, -3*s - 2*o + 159 = 0. Let j be -1 + -32 - 5*(-4)\/10. Let v = s + j. What is the highest common divisor of v and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {i: 1, y: 4, m: 4, p: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/972 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 88784 = 27*p - 22*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 3. Let g be (-8)\/(-3)*((-78)\/(-12) - 5). Calculate d(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12299834 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/14)\/((-2)\/7). Suppose -2*f - r = -3*f. Suppose 3*w + f = -3*n, 0*w + 3*n = -2*w - 7. Calculate the lowest common multiple of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*g**2 - 18*b*g + 1890*b - 20013*g**2 - g + 15 wrt b?\nAnswer: -2*g**2 - 18*g + 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10 = -6. What is the common denominator of w\/(-30) + (-1716)\/180 and (-1685)\/150 - (-8)\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68830 = -123*w + 2342*w + 90953 - 13329 for w.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/7, -2, -0.2 in descending order.\nAnswer: -0.2, -2, -15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19672797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (13 + 6027\/(-462))\/(100\/(-120))\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453101 is divided by 90602?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w*w\/(w*w**(-3)*w)))\/w)**(-9))**2)**(-14) assuming w is positive.\nAnswer: w**(-756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 13*d**2 + 13*d + 12. Suppose 3*w + 24 = 3*n, -2*w + n = -7*w - 64. Let h be p(w). Find o, given that h*o**2 + 0*o - 2\/5*o**4 + 0 + 0*o**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*f - 16 = 4*a + 189*f, 0 = -2*f + 6*f - 28 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/1892092?\nAnswer: 3\/1892092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*y + 86. Let p be 10\/3 - (-6 + -10)\/y. Let z(q) = q**3 + 5*q**2 + q - 3. Let l be z(-4). Calculate the greatest common factor of l and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-9)\/(36\/184). Let r = 53 + i. Let y(s) = s - 6. Let o be y(3). Sort r, -6, o in descending order.\nAnswer: r, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-2)\/4)\/(8\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfgnfmg. What is prob of picking 1 c, 1 n, 1 f, and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p - 1873*p - 97*p + 44*p)*((3 + 3 - 7)*(-4 + 2 - 1) + 0 + 2 - 1).\nAnswer: -7664*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/6 + 10\/(-20). Let m be 21\/15*(-8)\/(-28). Which is the nearest to m? (a) 4 (b) 5\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -1549*q**6\/24 - 53*q**5\/12 + 3921*q**2. What is the third derivative of v(j) wrt j?\nAnswer: -46470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2362 + (1278\/497 - (-6)\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6ea - -c44a?\nAnswer: cb45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4232557 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 91767391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*o + 24 = 0, 2*r - 3*o - 31 - 13 = 0. Let g = r + -10. Calculate the smallest common multiple of g and (1 - -1)\/1 + 7.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4027304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2 + 93217352*o + 1086184339236488 = 0. Calculate o.\nAnswer: -23304338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 3:05 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37579 (base 12) to base 14.\nAnswer: -1d537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 take away -14.32285?\nAnswer: 281.32285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**3 + 29*l**2 + 4*l + 24. Calculate r(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + m - 1, 14*w - 15*w + m - 1 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364621789?\nAnswer: 7, 7441261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 2*s**2 + 3*s + 2. Let h be b(3). Let c be (h - (-20)\/(-5)) + 3. Is c != 1\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*w + 26251 + 2718 = 0 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185593 = 1385*m - 1386*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8939 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68 and 9?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-528*b + 4153 - 4153)*(0*b**2 - 2*b**2 + 0*b**2) to the form m*b + c*b**3 + o + i*b**2 and give c.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -12*b + 11. What is the remainder when 277 is divided by p(-2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11101 + -30?\nAnswer: 11031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -11?\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/((-30)\/(-3 + 8)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**6\/3 - 7*x**2 + 5*x. Differentiate n(g) wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1877 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {x: 1, l: 5, d: 5, m: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**2*y**2 - 180*a**2 + 2*a*y**4 + 6*y**2 wrt y.\nAnswer: -6*a**2*y + 8*a*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 + -4)) + -11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -1\/10 (c) -3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 40 - 15. Suppose -3*l + b = -8*l. Let q(i) = -3*i**3 - 2*i**2 - 2*i - 1. Let n be q(l). Solve z = 3*r - 2, 2*r - 3*r - z - n = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**4 - 3 - 2*m + 2 + 3*m. Let r = -2828 - -2831. Let a(q) = -10*q**4 + 3*q + 14. Let f(h) = r*b(h) - a(h). Differentiate f(i) with respect to i.\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1317*10\/15 - -4. Which is bigger: a or -875?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5067088 + 5067088 + o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -32*a - 542. Let j(i) = 37*i + 541. Determine 6*j(m) + 7*z(m).\nAnswer: -2*m - 548","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - j**3 - 2*j + (4*j - 5*j + 2*j)*(0*j**2 + 0*j**2 + 2*j**2) + (-2*j + 2*j + j**2)*(j - j + j) + 13 - 13 + 2*j**3 + 5*j**3 - 2*j**3 - j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 7 = -3*o + 4, -3*o + 29 = -5*p. Suppose -5*q - 3*m = 2, 12 = -o*q - q - 5*m. What are the prime factors of -8*(15\/q)\/(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18*h = 90. Let s(i) be the second derivative of 4*i**3\/3 + 18*i**2 - 5*i. What is the tens digit of s(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a + 3*a + 30 - 10*a + 15 + 33. Calculate v(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -624 - -299. Let p = h - -482. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(6840\/(-87)) + (-6)\/(-16))\/(2\/(-4)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -24*m**2 - 10. Let r(y) = 8*y**2 + 4. Determine 3*d(l) + 8*r(l).\nAnswer: -8*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 8:17 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 14b1?\nAnswer: -14ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, -120, -342, -580, -840, -1128, -1450?\nAnswer: -1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 31*p**2 - 5. Calculate v(-31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*j**3*p*u + 6*j**3*p - 2*j**3 + 7147*j**2*u - 2*j*p - 872*j - 2*p*u wrt u.\nAnswer: 12*j**3*p + 7147*j**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + r + 19 = 5*o, -4*r = -3*o + 63. Solve o*a + 0*a = 65 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 - (1 + 1 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 + -67. Let j = c - -47. Calculate the remainder when 88 is divided by j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 465.31 + 3.69. Let n = p - 465.97. Let w = -0.03 + n. Which is the nearest to -1\/4? (a) 2\/3 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (8 + -5 + -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 28 = 2*f, 6 = -3*f - 9. Suppose -4*k + 10 = -d. Solve -3 - 1 = k*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2 (b) -2\/17 (c) -0.4 (d) -1\/647 (e) 5\/2 (f) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**8\/6720 - z**7\/360 + z**6\/180 + 35*z**4\/24 - 29*z**2. Let y(i) be the second derivative of x(i). Calculate y(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzfefbvbezeefzzeo. Give prob of picking 2 f and 2 e.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(22\/((-924)\/(-7)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a - 277 = 479. Suppose -2*s - 37 = -3*d, 5*d - 53 = 4*s - s. Which is bigger: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450439.4mm to meters.\nAnswer: 450.4394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498720*d + 498620*d - 997321*d.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/(24651\/2490) + -1 + 1?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/6, 3\/5, 349, 0.06, -1\/8, -4, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/911702 and 59\/224.\nAnswer: 102110624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 980, 1944, 2908?\n\"Answer: 964*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91*i**4*n**2 - 2*i**4 - i**3 + 165*i**2 + 2*n**2 + 2*n wrt i?\nAnswer: -2184*i*n**2 - 48*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.3 in -4755, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 3\/5, -16447.8, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1300 - 443. List the prime factors of y.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(18 + (-51)\/(1836\/672))\/((-4)\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 89, -4\/12867, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) -0.04 (c) 17 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13 + 14 + 17912\/(-18128) and -143\/618.\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*(-215452)\/8830?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 47*y + 875. Calculate m(-21).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 976*v - 1. Let w(i) = 170*i. Give j(w(h)).\nAnswer: 165920*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - -5)*(-2)\/4*-5. Solve 0 = 5*m - x + 18, 3*x = -5*m + 8*x - w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 4310248?\nAnswer: 4310245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9471 - -132689\/14. Let p = 157 + -91. Calculate the common denominator of v and (-167)\/p - (-4)\/6.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 261 * -57.408.\nAnswer: -14983.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:20 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/(o\/o**(-2))*o*o)*o)**(-44)\/((((o**0\/o)\/o)\/o)\/o*o*(o*(o\/o**0)\/o)\/o*o) assuming o is positive.\nAnswer: o**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 14 (c) 0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_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: Simplify (sqrt(3600)*1)\/(-2*sqrt(12)*4)*-6*1.\nAnswer: 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2282 - 1592. What is the lowest common multiple of 92 and y?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**3\/3 + q**2\/2 + 2443. Let d(c) = -4*c**3 + 2*c**2 - c - 3. Determine d(s) + o(s).\nAnswer: -4*s**3 + s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0569484 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709660?\nAnswer: 2, 5, 7, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -663\/7 - -95. Which is the third smallest value? (a) h (b) -2\/21 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*z**2 - 235 + 235 - 2*z)*(2 - z**2 - 2) + z**4 + 0*z**4 + 0*z**4 - 3*z**4 - z**4 + 2*z**4 + (-2 - 2*z**3 + 2)*(z + 4*z - 3*z).\nAnswer: -68*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -2, 1, 16 in increasing order.\nAnswer: -2, 1, 4, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0 + 0*x**5 + 2*x - x**2 - 9\/2*x**3 - 7\/120*x**6 + 1\/24*x**4. What is the first derivative of v(q) wrt q?\nAnswer: -21*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(-2*(sqrt(320)*3*4 - ((3 + sqrt(320) - sqrt(320)) + 2))*6)**2.\nAnswer: -26556485 + 552960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + 0*c)*(2*c**3 - 2*c**3 - 3*c**3) - 2*c**4 - 2*c**4 + c**4 + (0*c + 3*c - 2*c)*(3*c + c**3 - 3*c).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*7\/(-98)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 10273\/2869 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*v - 21*v + 34*v)*(4*v**4 - 2*v**4 - 5*v + 14*v).\nAnswer: 44*v**5 + 198*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 9:41 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 95917 - 4d?\nAnswer: 958ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + c = 21, c + 5 = 6. Suppose r = -5*s + 657, -15 = r + w*r. What is the remainder when s is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -5846895?\nAnswer: 58468.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((26\/(-25))\/(85\/425))\/((-4)\/10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -140?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -23. Suppose 3*t + 11 = -3*m + v, 2*m = -5*t - 15. Suppose 0 = -4*a + 2*c - c + 254, a - 2*c - 67 = m. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*n + 3*y - 12, n + 171171*y - 171166*y = 75 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5 + 2 + g + (8 + 1 + 3)*(-6*g + 2*g - 5*g) in the form q + v*g and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28257 is divided by 144.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/8*-2*4. Suppose 0 = f + v, -i - 3*f = -0*f - 1. Solve -i*u - m - 2*m = -12, -2*u + 5*m + 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2\/2 + 25401*g\/2 - 12699 = 0. What is g?\nAnswer: 1, 8466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 532.41989 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65737 is divided by 264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-110.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 1. Let q(h) = 3*h - 2. Suppose -4 - 1 = v. Determine v*a(r) - 3*q(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3 (c) -5\/91049283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 229653 divided by -4\nAnswer: -229653\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) 2 (c) -38 (d) 5 (e) 2.6 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 6:45 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35312 is divided by 2071.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(-184))\/(22\/16)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u**2 + u + 2. Suppose -5*w + 1 = 3*p, -3*p + 3 = -4*p. Let b be o(w). Calculate the highest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -970710\nAnswer: -7765680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191275610 divided by -1173470.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -188*b - 19092. Give o(-101).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m**2 + 91*m**2 - 18*m**2.\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 6. Let m be 1\/2*y - 1. List the prime factors of ((-32)\/(-24))\/(m\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) -4 (c) 6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -156, 2, -4, -3, -6 in decreasing order.\nAnswer: 2, -3, -4, -6, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364772568?\nAnswer: 2, 3, 15198857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12844*g**5 + 4904*g.\nAnswer: 256880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -55. Put 1\/4, i, 5, -5 in increasing order.\nAnswer: -5, i, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -431, -616, -797, -980, -1171?\nAnswer: -1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4058200 - 5?\nAnswer: 4058195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 divided by -1?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 7, w: 12}. What is prob of picking 2 w and 1 i?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16651423 and -1?\nAnswer: -16651423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1130 and 284480.\nAnswer: 32146240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u**2*z**5 - 31*u**2*z**2 - 12*z**5 + z**3 + 3*z**2 wrt z.\nAnswer: -240*u**2*z**2 - 720*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5))**(23\/3)*m\/m**(-9\/7)*m**(-7\/3) assuming m is positive.\nAnswer: m**(-806\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -2476449221.98091.\nAnswer: -2476449220.98091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 q, and 1 m when four letters picked without replacement from qosqqmsgwsqqm?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*a + 3*k + 1, -5*a + 2*k = -13. Let r be -5 - (a + -2 - 1). Let v(z) = z**2 + 4*z - 3. Let h be v(r). Is -2\/3 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*b + 441 + 2337 = -5*g, 4*g - 2*b - 90 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 3*q**3 - 5659273*q + q**2 + 5659273*q.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8*p**3 + 2*p + 1. Let r be u(-1). Let x = 20 - 34. Let j = r - x. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 554 + 562. Suppose 4 = 4*n, 0 = -32*g + 28*g - 4*n + w. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.68 and 2047.9.\nAnswer: -34158.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115 + -2?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 393\/1703*(-26)\/(-16). Which is the biggest value? (a) -2\/5 (b) l (c) -498\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 - 151. Which is greater: 0.1 or w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 - 8)*(2*t**4 - 2*t**4 + 4*t**4) in the form i*t**3 + v*t**4 + c*t**2 + b + k*t and give v.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a**2 - 6*a + 7. Let x be c(3). Suppose -106 - x = -5*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**14)**(-45)\/((l*l*l**(-5\/2))\/l**(3\/8)))**(-36) assuming l is positive.\nAnswer: l**(45297\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 309.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 177.4061 millimeters?\nAnswer: 17.74061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*m**2 + 1)*(13 - 2 - 1) + 0*m**2 - m**2 + 3*m**2)*(-2*m**3 + 0*m + 0*m).\nAnswer: -44*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 6 = 5*a, 4*x = -0*x + 3*a + 16 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 + 59*z + 40. Give c(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1353 and 372966?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -434 + -12?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**4 - 15126654 - 423*t**3 - t**2 + 15126654 - 4*t to the form g*t + j*t**3 + c*t**2 + w + a*t**4 and give j.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 0*y**2 + 0*y**4 + 0*y + 1\/3*y**3 - 10 + 13\/6*y**6 + 0*y**5. What is the third derivative of c(d) wrt d?\nAnswer: 780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545763131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1 (b) -2\/13 (c) 2\/5 (d) -4\/102133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 2*v - 127*s + 123*s, 3*v = 5*s + 96. Solve 40*t - v*t - 54 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1051*x**3 + 464*x**2 - 1111462*x wrt x?\nAnswer: -6306*x + 928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.07 + 0.07. Let f = 8.03 + v. What is f rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 + 10 = 0. Find j, given that -5\/3*j**f - 4\/3 - 1\/3*j**3 - 8\/3*j = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**6\/40 - d**3\/6 + 4*d**2 + 10. Let l(x) be the second derivative of o(x). What is the derivative of l(j) wrt j?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 5*d + 3*d + 2 - 5*d - 2 + (1 + 0 + 0)*(2*d - 4*d + 3*d))*(-3 + 3 - d**2).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32644 - -30249.9. What is z rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2249 and 83271474.\nAnswer: 2249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -428.5 + 357. Let t = 71.48495 + d. Let m = 0.015 + t. Round m to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 11*s + 13. Let a be l(-10). Let k(y) = y**3 - 4 - 2*y**2 + 0 - y + 0*y**2. Let c be k(3). Solve -1 = -a*j + 2*j - 5*x, c*x = 2*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -380*r - 1123. Let u be h(-3). Do 197\/11 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41876 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 5 + -2 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 133919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*j + 3. Suppose 4*r + 2*s = -1 - 5, 5*r - 20 = 3*s. Let q be (r - (-2 - -2))*-5. Is q greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, -68, -0.1, -5, 3, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 6871?\nAnswer: -33\/6871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4502*w**2*x + 10209*w**2 with respect to x.\nAnswer: -4502*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**4\/12 - 4*x**3\/3 + 4*x**2 - x + 14. Let l be i(1). Is l >= 2\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.03195 rounded to 3 decimal places?\nAnswer: -1.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/912 and -7\/155952.\nAnswer: 155952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*c**(-1\/6)))\/c)\/(c*c**(-8)))\/(c\/(c*(c**11\/c)\/c)*c*c\/c**(-10)))**20 assuming c is positive.\nAnswer: c**(190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155543 = 3411*v + 1466*v - 216*v + 2931 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 32 = -1. Let t be (w\/(-4) - -2)\/(-3). Let q = -6.1 + 6.2. What is the closest to q in 0.5, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -727641*z**2 + 165584.\nAnswer: -1455282*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 248 - 255. Let p be (470\/140 + -4)*h\/12. What is the biggest value in -89, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) -195.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 177, -1\/13, -19.3?\nAnswer: -19.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 59*y + 8077. Calculate g(-137).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(32*v - 40*v - 29*v)*(-7*v**3 - 5*v**3 + 10*v**3 - 6).\nAnswer: 148*v**4 + 444*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*z - 602, -25*y + 30*y + 4*z = 2989. Solve -y*t = -604*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 23. Suppose -q - s*q = -400. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3 - 0. Suppose -f*t + 6*t = 60. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1475 + 150451\/102. Find the common denominator of (50 + (-57921)\/1204)\/((-1)\/(-2)) and u.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49760 = -1607*t - 78800 for t.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -981.3 times -25.951?\nAnswer: 25465.7163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-6))\/5 + (39\/897)\/(60\/138)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -72*p + 310. Does 19 divide h(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 177, 721, 1629, 2901?\n\"Answer: 182*z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -256\/68545?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2. Let z(h) = 101 + 10*h - 101. Calculate p(z(o)).\nAnswer: 400*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h + 39. Give a(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 + 126. Let m(h) = -6*h - 40. Calculate the lowest common multiple of m(w) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78 and -368.\nAnswer: 28704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 113, 197, 305, 449, 641?\n\"Answer: 2*w**3 + 70*w + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 618 - 592.7. Let z = y - 25. Which is the second biggest value? (a) 0 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/2463048 and -169\/4926096.\nAnswer: 4926096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 2*i + i)*(1 + 6 - 1)*(1 - 2 - 1)*(-64 + 17*i**2 + 64) to k*i**2 + a*i**3 + t*i + r and give a.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65369323 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*q - 1150 = 0, 5*q - 1420 = 5*i - 0*q. Let k = -136 - i. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/sqrt(2))\/sqrt(4))\/(2*sqrt(8)) + 1.\nAnswer: sqrt(7)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5831 = -127*w - 310*w - 21497 - 7195 for w.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2aa2 (base 11) in base 14?\nAnswer: -1648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 120 = -4*h, 3*h - 150 = -5*p + 2*h. Suppose -9*w - 75 = -21. Let y = w - -9. What is the highest common divisor of p and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (270\/1080)\/(2\/25352).\nAnswer: 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, i: 2, h: 1, n: 2, x: 2, o: 2}. What is prob of sequence hxi?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 17*s**2 + 4*s**3 + 3.\nAnswer: 4*s**3 + 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 214245?\nAnswer: 428490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 455\/(-130) + (-10)\/4*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7930, 2\/15, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 29800\/120 - (-2)\/(-6). What is the third derivative of t*i**5 + 23*i**2 - 247*i**5 + 6 - 18*i**4 - 5 wrt i?\nAnswer: 60*i**2 - 432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52*v**3 - 2*v**2 + 680*v - 55932 wrt v.\nAnswer: 156*v**2 - 4*v + 680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9496 is divided by 172.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2006671.7 rounded to the nearest 10000?\nAnswer: -2010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/9? (a) 2\/3 (b) -1\/4 (c) 1169\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 215.\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(2*g**4 + 1 - 1) + 9*g**4 + 6*g**4 - 7*g**4.\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*t - 1488*t = 54312 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 122670 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.9 + -91.9. Let h = n + -71. Let d = 148.62 + h. Round d to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83556606.\nAnswer: 2, 3, 7, 41, 48523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -2 - (-1 - 4 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 1. Let l be z(1). Let p(m) = 2*m**l - 4*m + 3 - m - m**2. Suppose -2*d - 3*d + 20 = 0. Give p(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubzqbzbb. What is prob of sequence quz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**3\/3 - 23*q**2\/2 + 16*q. What is the units digit of k(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -79.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 14*o - 138. Suppose -15*c + o*c = 2904. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1847990.\nAnswer: 2, 5, 283, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14260 - -99822\/7. Which is the nearest to t? (a) 1 (b) -2 (c) 1438 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 4*k - 8838, 2956 = -3*h + 4*h + 2*k. Is 25 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**6 - 15*u**4 + u**2 + 9*u.\nAnswer: -240*u**3 - 360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 2*i - i**3)*(-i - 3*i + 2*i) + 25*i**4 + 0*i**4 + 16*i**4 in the form r + g*i**3 + o*i**2 + h*i + c*i**4 and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-134520)\/(-1233100))\/((-2)\/((-40)\/(-3)))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -13. Suppose -5*x + 83 = 4*v, -4*v + 3 + 5 = w. Suppose -5*p + x = -2*p. Solve -6*u = -u - p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.8. Let h = 7.306 - 4.247. Let l = h + -0.059. Is k equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = v - 58, h - 3*h = -8. Suppose 3*x = 3 + v. Solve -5*a + 1 + x = -z, 4*z + 5*a = 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -29*b - 19. Calculate the lowest common multiple of 3 and v(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**5 + 23*v**4 + 474*v**3 + 1588*v**2 + 1480*v = 0?\nAnswer: -10, -2, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, h: 5, o: 1, m: 5, b: 6, k: 1}. What is prob of sequence okby?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15345, -61183, -137587, -244563, -382117, -550255?\n\"Answer: -p**3 - 15277*p**2 - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 14 = 11*n. What are the prime factors of (-946)\/(-43)*61\/n?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 30\/11 (c) 1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) 2\/3 (b) -0.1 (c) -0.032 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 658 + -111. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -558740000 rounded to the nearest 1000000?\nAnswer: -559000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjs.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -16885726*p**3 + 24311*p**2 + 194488*p. Let l(y) = -3473*y**3 + 5*y**2 + 40*y. Calculate 24311*l(d) - 5*s(d).\nAnswer: -3473*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-154) + (-1482)\/693 + 2)*240\/(-8)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/6)\/(2\/(-4)). Suppose b - 75 = -0*b - 5*s, 15 = -u*s. Suppose 4*l = 2*l + b. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-32)\/80*7830\/232\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/10 - 17*z**4\/12 - 14*z**3\/3 + 6*z**2 - 5*z + 1. Calculate the lowest common multiple of d(12) and 5.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 25*n**2 + 32*n - 1523. List the prime factors of m(33).\nAnswer: 5, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*l**5 - 122*l**3 - 2316*l**2 wrt l?\nAnswer: -660*l**2 - 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 116 + 184. Let s be (-1)\/(-2 + (-145)\/z). Suppose -264 = 12*q - s*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3 - 45480*y**2 + 172369200*y - 217759756000 = 0. What is y?\nAnswer: 3790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnyydynnyyynyynyd. What is prob of sequence dn?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwhwhjhjwhj. What is prob of sequence jjw?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2309 + -228?\nAnswer: 2081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(266) - sqrt(266)*2)\/sqrt(7))\/sqrt(2).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-8) - 0)*(-6)\/(-18). What is the closest to g in -0.2, -73, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 12:54 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 3*s**2 - 2*s + 2. Let o(x) = x + 3. Let r be o(-6). Let a be v(r). Suppose 3*h = a*h - 375. Calculate the highest common factor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10205 and -12?\nAnswer: 122460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3820 and -167.132.\nAnswer: 638444.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5*((sqrt(49) - (sqrt(3136) - 1*sqrt(3136))) + sqrt(49)))\/(-4*(sqrt(343) - (sqrt(343)*4 - sqrt(343)))) + 1).\nAnswer: -5*sqrt(7)\/14 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28720964 to the power of 1\/2, to the nearest integer?\nAnswer: 5359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 28 = 5*l. Let u = l - -9. Suppose -9 - 14 = -u*w - c, -4*w + 5*c + 29 = 0. What is the least common multiple of w and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (0 - -29 - 36).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*f**3 - 159*f**3 - 153*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -1. Let t = -8 - -7.2. Let l = t - -5.8. Sort u, 0.2, l in ascending order.\nAnswer: 0.2, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -773495550 divided by -5.\nAnswer: 154699110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 5:30 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21681.486us?\nAnswer: 0.000006022635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -13*o**3 - 18*o**2 + 2*o - 11. Let a(i) = -21*i**3 - 27*i**2 + 3*i - 16. Let l(r) = 5*a(r) - 8*t(r). Let w = 1 - -8. Give l(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11844751 and -6.\nAnswer: -0.71068506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2103924 is divided by 1279?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12102401.\nAnswer: 12102401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, -102, -243, -452, -735, -1098?\n\"Answer: -q**3 - 25*q**2 + 3*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030554584 rounded to six decimal places?\nAnswer: 0.003055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-25)*2)\/((-26)\/(-65))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 6:03 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 390767201 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -6 + -1 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-3))\/d)\/(d\/(d\/((d**(1\/7)\/d)\/d*d))*d))**(-2\/93)*(d\/(d*d**(1\/4)*d)*d)\/d*d*d**(-1\/8)*d**0\/(d\/d**(-1\/10)) assuming d is positive.\nAnswer: d**(-40009\/26040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -1003801?\nAnswer: -23\/1003801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*i + 652*i = 5940 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*-8*2457\/468?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.035.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide -5*(-24)\/(-5) - -11622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5324125 and 325.\nAnswer: 69213625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 979768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11.29*0.8\nAnswer: -9.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89246*a - 45777*a + 47375*a.\nAnswer: 90844*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*u - 36*u + 149*u - 23*u.\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + 178. What is the greatest common factor of x and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98.6 and -10.4.\nAnswer: -1025.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.44 * -13267030\nAnswer: 5837493.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.045 and 1361461.46873.\nAnswer: 1361461.42373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y = 4*z - 65, 0 = -2*y + 4*z - 2. Suppose -y*t + 17*t = 5464. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/23950385?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i + 3*i)*((-i**2 + 0*i**2 - i**2)*(i**2 - 6*i**2 + 2*i**2) + 4*i**3 - i**3 - 4*i**4 + 5*i**4).\nAnswer: 14*i**5 + 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 11*n**3\/6 + 5*n**2\/2 - 6*n. Let s be t(-5). Let c = -3 - s. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -162453 - -2?\nAnswer: -162451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppccpbbbbdbdwbcbpbb. What is prob of sequence cb?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s - 16. Let z be s\/(-20) + 568\/5. Suppose 0 = -3*d + 5*d - z. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 30272?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z + 8 = -23*z. Let a be (25\/10 - 2)\/(z\/8). Suppose -d = 3*d + a*u - 22, -4*u + 29 = 5*d. Solve -3*y + d*j + 11 = 0, 1 + 19 = -4*y - 2*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:21 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k - 1336 = 688. What is the greatest common divisor of k and 792?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -32. Solve s = 3*f + 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 0*g**3 - 1\/60*g**6 + 4*g**2 + 0*g + 0 - 1\/12*g**4 - 1\/15*g**5. Factor r(s).\nAnswer: -2*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10722599 is divided by 466198.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*s + 12 = 0, 3*j = 4*s + 10 - 20. Let y(p) = 615*p**3 - 2*p**2 - p - 1. Is y(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -12*w**2 - 16*w. Let x(h) = -528635*h. Determine x(r(q)).\nAnswer: 6343620*q**2 + 8458160*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/3 + v**2 - 5*v. Let u(g) = -g**3 - 5*g**2 - g - 3. Determine 3*c(j) + 2*u(j).\nAnswer: -2*j**3 + 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 30. Suppose -b*q = -u - 1 - 4, q + 4*u = -3. Is (-256 - 1)*1*q\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/5))**(-26))**7*(h**1*h)**(1\/38)\/(h\/(h**(-7)\/h)*h\/h**(3\/11)) assuming h is positive.\nAnswer: h**(-162262\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1448*o**2 - 1643*o wrt o?\nAnswer: -2896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + 60. Suppose 4*u + 5*k - 855 = 0, -k = 26*u - 22*u - 859. Let o = u - g. What is the highest common divisor of 48 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -5*f**4\/12 - 2*f**3 + 8*f**2. Find the first derivative of l(s) wrt s.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 13*v**2 + 16*v - 7. What is the remainder when c(14) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1 + -6 + 6. Let r = w - -2. Let -4*g**2 + 8\/3*g + 8\/3*g**3 - 2\/3*g**r - 2\/3 = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-28))\/((-162)\/189)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 2. Let p be t(-1). Let d(r) = 14*r - 5*r + 0 + p. Determine d(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1. Let y(m) = -m + 1. Let x(g) = -6*s(g) + 7*y(g). Let k be 2\/24 - 689\/636. What is the smallest common multiple of 1 and x(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, v: 11}. Give prob of sequence vvvy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from annaa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**3 + 16*y**2 - 18*y + 5. Let s(m) = 3*m**3 - 8*m**2 + 9*m - 2. Let z(g) = 2*r(g) + 5*s(g). List the prime factors of z(7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2881614952.\nAnswer: 2, 2143, 168083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0.5 (c) 4.1208668\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, -1, -10, 0 in descending order.\nAnswer: 0, -1, -10, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzmmzm. What is prob of sequence zm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 3\/4 (c) 0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -70. Calculate the greatest common divisor of t and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 56382, 56350, 56318, 56286, 56254?\n\"Answer: -32*i + 56414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-9)\/(9\/8). Let r = p - 7. Let n = 2 - r. Solve -2*q + 2 = n*x - 2, -7 = -2*x + q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -55*t**2 + 5*t + 6. Let x(l) = -54*l**2 + 6*l + 7. Let k(s) = -6*u(s) + 5*x(s). Let b(a) = -2*a**3 + 1. Let d be b(1). Is k(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -262, -4, 1 in descending order.\nAnswer: 1, -4, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12750 is divided by 4247?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 9569*u - 105221. Determine h(-11).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -338520 by 4030.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 568.7362 years?\nAnswer: 56.87362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {i: 1, v: 1, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 11*s - 14*s = 707, -5*s = 3*j + 2101. Let z = 694 + j. Suppose f - 2 = -f. Sort z, f, -4, -3.\nAnswer: -4, -3, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*u**2 + 2047761\/2 - 1431*u = 0. Calculate u.\nAnswer: 1431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}