diff --git "a/data/dm_maths/full_data/10464_11255.jsonl" "b/data/dm_maths/full_data/10464_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10464_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What comes next: -24, -22, -18, -12, -4, 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6618011 is divided by 2205932?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*r + 9 = 2*r, 32 = -4*n - 3*r. Let k be 14\/(-28) - (-15)\/2 - -2. Which is the nearest to -1? (a) k (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -179?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4283696 and 44872?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47985*p**3 - 2*p**2 + 7*p + 146 wrt p.\nAnswer: 287910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**3\/18 - 827*v**2\/6 + 683929*v\/6 - 1719. Let y(o) = 0. Calculate o.\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*k**3 - 76*k**3 + 147*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*l - 262 = -9*l, -2*l = 2*a - 176. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, b: 3}. What is prob of picking 2 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-9)*(23 + -32)*1. Suppose -4*q + 8 = 2*h, -w*h + q - 16 = -h. Put 1, 0, h, -2 in descending order.\nAnswer: 1, 0, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fe + -10f5b?\nAnswer: -11059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -17*s - 9. Let p be i(-3). Suppose -n = n - p. Calculate the highest common factor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366890?\nAnswer: 2, 5, 19, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**4 - 111*j**3 + 840*j**2 + 4072522*j wrt j?\nAnswer: -12*j**2 - 666*j + 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-6)*(2 - -4). Suppose -15 = -12*s + t*s. Suppose -135 = -s*j + 190. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323164170?\nAnswer: 2, 5, 132316417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -25?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -19. Let u = v - 15.3. Which is the smallest value? (a) u (b) -1\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -10.02. Let l = -0.42 + t. Which is the nearest to 1? (a) 4 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 4*g - 19, 0*h + 2*h = 5*g - 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksskkk. Give prob of sequence ks.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 12073857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2868)\/9560 - (-43)\/210.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*(sqrt(10) - (sqrt(70)\/(sqrt(14)\/sqrt(2)) - sqrt(10)))\/sqrt(2) + 2 + 5)*-1.\nAnswer: -2*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153898491*o**2 - 76949277*o**2 + 2*o**3 - 76949214*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11284 in -4, -3\/5, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 13\/4 (b) 0.5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*h + 18*h + 13752. Suppose -3*g - 2*a + h = -3021, -3*g = -4*a - 6459. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -45*4\/(-24)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77687383 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850078017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -375b1b5 + -1?\nAnswer: -375b1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 less than 13.02?\nAnswer: 27.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728127822.\nAnswer: 2, 3, 121354637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-17)*a)\/(a**6\/a))\/(a\/(a\/(a\/a**(3\/7)))*a*(a*a*a*a*(a\/a**(-39))\/a*a*a)\/a))**45 assuming a is positive.\nAnswer: a**(-20970\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 8. Suppose -l + 0*x = -5*x - 8, 5*l - 5*x - 20 = 0. Let k(o) = o**3 - o**2 - 4*o. Let w be k(l). Determine u(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -30*c**2 + 863*c + 7047. Give d(-8).\nAnswer: -1777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 5*h - 56 = 0. Calculate the highest common factor of 126 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*d = 52, 0 = 37*q - 34*q - 5*d - 56 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102)\/(-9))\/((-40)\/16*16\/(-20)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4391, 7589, 16277, 33203, 61115, 102761, 160889, 238247?\n\"Answer: 458*z**3 - 3*z**2 + z + 3935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 18*h - 25. Let z(c) = -7*c + 13. Determine 2*i(t) + 5*z(t).\nAnswer: t + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 - 101 = 2*w. Let v(s) = -s**2 - 32*s + 226. Let k be v(w). Let n(r) = r**3 - r**2 + 2*r + 3. Calculate n(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 11. Let n = -2 + 3. Which is the closest to 1? (a) n (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 + (-1)\/2. Let s = -1802.2 - -1805. Which is the closest to p? (a) 5 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -14. Let d(t) = 6*t - 12. Let c be d(5). Calculate the highest common divisor of c and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17116350 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 247 = -227. What is the closest to 2\/5 in -0.4, -19\/5, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 2, v: 2, c: 1, r: 1, q: 1}. Give prob of picking 1 c and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -1926*g + 1925*g - 19, -3*g = y + 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.721 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41751024 (base 8) in base 15?\nAnswer: bac595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 18855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Suppose 3*n - 5 + 2 = -l, 0 = -w*l - 5*n + 4. List the prime factors of (14\/6)\/((-1)\/l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 23 - 18 - 7 - 2*a + 1 to j*a + n and give n.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 131*b**2 - 873*b - 5. Determine j(7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3142 - -3149. Let i(o) = -2*o + 4. Calculate i(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2280 - 521. Let s = u - 1030. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 58. Suppose 0*f = 3*f - 4*u - 83, 4 = -f - 5*u. Let s be o(f). Put 4, -4, s, 1 in increasing order.\nAnswer: s, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-4 + 0 + sqrt(72)) - (sqrt(72) + sqrt(72)*-2 + -3 - ((1 + sqrt(72) + sqrt(72))*-6 + sqrt(72) + sqrt(72))))*2 + -4)**2.\nAnswer: 5040*sqrt(2) + 8964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1598370, 3196755, 4795140, 6393525, 7991910, 9590295?\n\"Answer: 1598385*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51672 + -775082\/15. Let q(k) be the first derivative of -k**3\/3 + 5*k**2\/2 - k + 1. Let s be q(5). What is the biggest value in p, s, -9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -44\/35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 504064045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1584) - sqrt(1584)*1*1 - sqrt(1584))**2 + (1*(0 + sqrt(1584))**2 + sqrt(1584) - sqrt(1584)).\nAnswer: 3163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.046 - -0.024. Let z = 7690 + -30759\/4. Which is the closest to z? (a) -5 (b) -0.2 (c) 3\/4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*k**2 - 6*k**2 + k**2)*(11 - 11 - 2*k) to t*k**2 + y + j*k + z*k**3 and give z.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 2. Let j(d) = -3*d - 2. Give 3*j(i) - 12*v(i).\nAnswer: 3*i + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - o + 20, 15 = -x - 4*x - 2*o. Let a be (-11 - x)\/(4\/(-6)). Let r = 11 - a. Solve 0 = -0*i + i - r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*o**2 - 44*o + 204*o**2 - 40*o**2 + 270*o**2 + 43*o.\nAnswer: 825*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 - 13 = -90*g + 170. Solve 0 = c - g*l + 12, l + 4*l = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(832) + 2 + sqrt(1573))*4.\nAnswer: -304*sqrt(13) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 12 + 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 3:10 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3064 + 1.4064. What is the closest to q in -63, 5, -23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 - 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 218*f + 9. Let t(q) = -62269*q. What is g(t(k))?\nAnswer: -13574642*k + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35025 = 3*b - 5*s, 43427 = 3*b + 2*s + 8360. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 3*r - 1. Let d be h(-4). Suppose -y + 43 = d*c + 2*c, -3*c + 39 = 5*y. Suppose f - 3*f + c = 0. Is f smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.2, 1\/4, -155.08?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -60742*x**3 + 6*x**2 - 6*x - 2. Let o be y(3). What is o rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i + 50*i = -72. Calculate the remainder when (-1)\/((6\/93)\/(-2)) is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 51*a - 330 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjbjjjbjzjybjjby. What is prob of picking 2 y?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(363) - sqrt(75)*-5)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q + 138 = -139 - 187 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 1741418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g + 1506. Let r be l(0). Suppose k + r = 7*k. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 36 = -5*r + a, -a - 15 = -2*r. What is the remainder when 18 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Let i(q) = 2*q - 19429. Give i(b(s)).\nAnswer: 4*s - 19429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41936344?\nAnswer: 2, 19, 275897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8192, 0, 96 in descending order.\nAnswer: 96, 0, -8192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23\/3, -3\/2, -4\/5, -253?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 211445.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 937789 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -17*f + 2. Determine d(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -204536*n**4 + 148482*n?\nAnswer: -2454432*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -57382 greater than -57382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*k*n**3*r - 2*k*n**3 + 2*n**3*r - 340*n**3 + n**2 + 48*r**4 + 2 wrt r?\nAnswer: -13*k*n**3 + 2*n**3 + 192*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 1:20 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**3\/2 - y**2 + 20*y. Determine n(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Suppose -6*o + 6 = -3*o + 4*c, -17 = 4*o - d*c. Is 7 a factor of 9 + o\/(-2) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/36 and 103\/3474.\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 494 and 140062?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36154349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*i + 935 - 1510 = 0. Sort -1, i, 184 in descending order.\nAnswer: 184, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 2*y**2 + 23*y + 1. Give c(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/57*(-2)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/42 - ((-24)\/4)\/18. Factor 6\/7*y**2 + 0 - x*y**3 - 4\/7*y.\nAnswer: -2*y*(y - 2)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 8356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 50 + (41 + -58)*1\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 6*k**2 + 2*k + 5. Let n be (-8)\/12 + (-10)\/3. What is the tens digit of p(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*(-2 + 2*sqrt(75)).\nAnswer: -18 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1098 divided by 1\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 20. Let o = -9779 - -9778.7. Let b(n) = -n**3 - 8*n**2 + 2*n + 11. Let d be b(-8). What is the third biggest value in d, o, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278586919 to the power of 1\/3, to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21864 = -282*r - 18762 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*h + 13628 = 0, -w = 9*h - 4*h - 2721. List the prime factors of w.\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(539) + sqrt(539))**2 + -2*-2*sqrt(539) + 0 + ((sqrt(539) - (-1 + sqrt(539))) + -4)*4.\nAnswer: 196*sqrt(11) + 2180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 1\/6*m**4 + 0 + 0*m**2 - m - 1\/3*m**3. Suppose b(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s**3 - s**2 - 5*s. Let n(d) = 5*d**3 + d**2 + 3*d. Let u(j) = 4*l(j) + 7*n(j). What is the smallest common multiple of u(3) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -26. Let o(k) = -k + 1. Let a(x) = 32*x + 2. Let b(v) = u*o(v) + a(v). Let m(p) = p. Give m(b(c)).\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/18 + (-138353)\/(-279). What is the greatest common factor of 792 and t?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-74)\/(-6))\/((-6)\/18). Let b = a - -55. Calculate the least common multiple of 12 and 4\/2 + b\/1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**4\/8 + 9*c**3\/4 - 45*c**2\/8 + 3*c = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 418*y**2 - 16341*y + 1357. Give x(-454).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**7\/3 - 5*v**4\/3 + 5*v. Find the third derivative of t(a) wrt a.\nAnswer: -840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588 + 596 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4, -607, 144, 19\/4 in decreasing order.\nAnswer: 144, 19\/4, 4, -0.4, -607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 13*f**2 + 2*f + 42. Let g be s(-13). Differentiate 16*w - 54 - g*w + 109*w**3 wrt w.\nAnswer: 327*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106007882 divided by -982?\nAnswer: 107951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 47*j - 227 = 0, 5*x + j - 239 = 6*j - 102 + 38 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 10592*i\/3 + 14023808\/3.\nAnswer: 2*(i + 2648)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + (18\/(-12))\/((-6)\/368).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/4 and 13\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 5*b + 5. Let z(l) be the first derivative of -l**3\/3 + 2*l**2 - 6*l + 11. Let w(j) = -3*n(j) - 2*z(j). Give w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14268 and 82?\nAnswer: 14268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9868 = -r, 6*s = s - 4*r + 12335. Let y = s + -1238. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0.5. Let f = -1.07 + 0.67. Let n = -0.08 - -0.18. What is the closest to n in -4, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + g. Let z(s) = -19*s**2 - 3*s. Let c(o) = -6*b(o) - 2*z(o). Let f(a) be the third derivative of a**5\/60 + 23*a**2. Determine c(f(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(616)*-5*5)\/sqrt(11)*-2)\/(1*-6*-3*sqrt(8)*2).\nAnswer: 25*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.45493 to two dps.\nAnswer: 11.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 2. Let t be a(0). Suppose -4*b = -l - 45 - t, b + 4 = -5*l. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*g + j - 2*j, 9 = 4*g + 3*j. Solve 5*s = g*s + 10, 3*x = s + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29779609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 1. Let z(q) = -237*q + 121*q + 118*q. Determine z(x(d)).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 2:55 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*a + 13063 - 16446 = -14*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1031\/5610 - -1\/510. Which is the second biggest value? (a) 0 (b) s (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + f**3 - 6*f**3 + (-2*f + 0 + 0)*(4*f**2 + 0*f**2 - 3*f**2))*(-3 + 0 + 2).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykqkqkyyqykyyq. What is prob of picking 3 y and 1 k?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 1 - (10 + (-3 + 14 - 26)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 8*l**2 - 4*l + 8. Let z be y(8). What is the tens digit of (354\/z)\/(1\/(-4)*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.35653895 rounded to three decimal places?\nAnswer: -5.357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3833\/7 + 547. Let q = -36.6 + 37. What is the nearest to 1 in q, 0.22, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 26. Let d = a - -15. Let m = -1.4 + 1.3. Put -2\/11, d, m in ascending order.\nAnswer: -2\/11, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/253 and (-480)\/99000*(-70)\/12?\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1625 + 1408. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 774699 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-217)\/(-124)*-4*(-6)\/28?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -285 - -289. Let k(q) be the second derivative of -1\/3*q**c + 1\/3*q**3 + 0 + 0*q**2 - q. What is the second derivative of k(t) wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 1. Let v = 26.00000037 + i. What is v rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**4\/3 - p. Let d = 16 - 14. Let h(u) = u**d + 6*u**2 - u**2 - 4*u**2. What is h(b(z))?\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b. Give t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 3\/2, 14\/5, -4\/57, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*(sqrt(847) + 2) - sqrt(847) - -4*(sqrt(847)*-1 + sqrt(847))))*2 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 625, 611, 583, 535, 461?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16693074.\nAnswer: 2, 3, 309131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-7 - -11 - 14) - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 676758944 to the nearest integer?\nAnswer: 26015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2661903\/1804 - -16234\/11. Calculate the common denominator of -11\/10 and f.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 2916.\nAnswer: -8748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11\/7 (b) 7.39 (c) -2\/11 (d) 0.28 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -527 (base 10) in base 4?\nAnswer: -20033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -14. Let g be (3\/1 - k) + 10. Suppose -p + 24 = -g. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(3\/2) - 0. Let k(j) = -3*j + 22. Let m be k(9). Let f be o\/m + (-2 - -2). Which is the nearest to -1? (a) 3\/8 (b) f (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -868, -3471, -7814, -13897?\n\"Answer: -870*k**2 + 7*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 81 = -21 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4, -9529, -249 in decreasing order.\nAnswer: 0.4, -3, -249, -9529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138516 is divided by 45?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6442 by 1804.\nAnswer: 3221\/902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -770 - -1536. Suppose j - 3862 = -9*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-42)\/(-35) + (-4949)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 815.075 minutes?\nAnswer: 48904500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l**3 - 43919*l**2\/5 - 2678876*l\/5 + 14884\/5 = 0. What is l?\nAnswer: -122, 1\/180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 2. Let n = 0 - -3. Let s(z) = 7 + 0*z**2 - 2 - z**2 + n*z + 0*z. What is s(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k - 15. Let a be y(17). Let x(p) = -2*p + 36*p + 2 - a*p. Determine x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5342 is divided by 243?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:12 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f - 8. Let g be (-3018)\/(-24) - f\/8. Suppose 4*t + g = -5*v, -v - 28 + 2 = t. What is the common denominator of 77\/4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**3 - 8*b**2 + 59*b - 163. Let w(f) = f**3 + 3*f**2 - 20*f + 54. Let n(j) = -3*p(j) - 8*w(j). What is the first derivative of n(k) wrt k?\nAnswer: 3*k**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 78*q**3 + 13*q**2 - 13. Let t(b) = -31*b**3 - 5*b**2 + 5. Determine -5*r(w) - 13*t(w).\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8e (base 15) to base 10.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Suppose -2 + 38 = -c*m. Let f be (2 - (-21)\/m)\/1. What is the smallest value in -4\/5, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5551b (base 15) to base 16\nAnswer: 4232f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1599.7 + -1598.7. What is the closest to 1\/3 in -47, n, 4, 15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59 - 59 + 8*b + 116)*(5*b + 3*b - 6*b) in the form t*b + a*b**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from {y: 6, c: 4, d: 1, q: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -76\/7, 523907, -1\/6?\nAnswer: 523907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h*y**3 + 9*h*y**2 + 9*h - 789*y**3 - y**2 + 21493*y wrt y?\nAnswer: -24*h*y + 18*h - 4734*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 2189.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 3. Let l be s(-5). Let k be 4\/8 + 5\/l. Suppose -k*p + 22 = 4*w, p - 14 = -3*w - 0*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1768, 2308, 3220, 4504, 6160, 8188?\nAnswer: 10588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3310 is divided by 1643.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-416)\/(-39) + 0 + (-3)\/(-9). Suppose 0 = 2*x + b + 11. Let i(y) = -12*y + 50. Is 14 a factor of i(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3781 to 2 dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1460987, -2922013, -4383041, -5844071?\nAnswer: -7305103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k\/((k**1\/k*k)\/k*k))*k)**45)**(-37)*(k*k\/k**(1\/4))**(-22)*k**(-2\/13)\/(k\/(k\/k**(1\/6)*k)) assuming k is positive.\nAnswer: k**(-261215\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 900?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzzt when four letters picked without replacement from zgtztzttgttzz.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.4, 64, -0.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365240 + 1095597 - 365225 - 365132 + 2*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2394042 and 1807746?\nAnswer: 88579554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -646044 or 84?\nAnswer: -646044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p - 440 = 23*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5)*(-35)\/(-84). What is the second smallest value in 1\/9, m, -0.5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -29, 15 in descending order.\nAnswer: 15, 0, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 14 (b) -3 (c) 1\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 2. Let p be j(0). Suppose 3*g = -p*g. Suppose g*c - 3 = -c. Solve 5*u + 1 = 4*r, 3*r + c*u + 2 = 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -141*i**4 + i**3 + 434*i**2 - 2*i - 1185734 wrt i.\nAnswer: -564*i**3 + 3*i**2 + 868*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(637)*6 - sqrt(637)) + (sqrt(637) + (sqrt(637) - ((sqrt(637) - (sqrt(637) - (2 + sqrt(637)))) + -2)) - sqrt(637))**2.\nAnswer: 77*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 35*b + 5070 = 0. Let q = b + 325. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)\/sqrt(4))\/sqrt(6).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -19, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334664 is divided by 191.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 82*l**2 - 46*l**2 + 8*l**3 - 2*l**4 - 5*l**3 - l + 3*l**4 to the form s*l**3 + o*l**2 + a*l**4 + k + b*l and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-4 - -1) + 0. Let h(m) = m + 7. Let o be h(i). Let 2*p**4 - o*p + 3*p - 2*p**3 + p = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 25851, -1\/5 in decreasing order.\nAnswer: 25851, 9, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*n - 2*i = -155*n + 7, -n - i - 14 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16157b (base 13) to base 14.\nAnswer: 102c9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 654*(-1)\/(-14) + (-6156)\/(-21546).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.049 or -0.5?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -5*p + 45, 2*s + 23 = p + 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*g - 96*g = -18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201391 is divided by 790?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 10:53 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2543 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a. Let q be (a + 1 - 0) + 4. Suppose -101 = -q*b + 4*c, 4*c - 4 = 5*c. Solve 3*s - 5 = -b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10544, 5, 3 in descending order.\nAnswer: 10544, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 3*x - 4*x)*(2*x - 4*x + 3*x) + (5*x - x - 2*x)*(395*x + 11726 - 11726)*(1 - 8 + 0) in the form a*x**2 + z*x + u and give a.\nAnswer: -5529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 40*b + 8. Let j be g(8). Suppose -s + 314 = j. Which is greater: -76 or s?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -32. Let c(i) = i - 4. Let a be c(y). Let f be (-46)\/a + 14\/(-49). Solve 0 = f*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 0*f**4 + 0*f + 0 - 14*f**2 - 19\/20*f**5 + 0*f**3. Let o(l) = l**2. What is o(c(n))?\nAnswer: 3249*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.69 + 4.41. Let y = s + -5.5. Let m = -1 - 2. Which is the third biggest value? (a) y (b) m (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2341 + -2343.673. Let q = j - 0.027. Let a = q - -2.7022. Round a to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1 (c) -2\/9 (d) 388\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 206413684674?\nAnswer: -206413684674.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8\/5 (b) -4 (c) -3 (d) -1\/94 (e) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -8, -21, -34?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**4\/12 - 2*g**3 + 5*g**2\/2 - 45*g - 1. Calculate w(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1274 + -2410. Let z = -742 - o. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a720 + -40?\nAnswer: 1a6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 15496?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 19. Calculate the highest common factor of 40 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/71292 and 179\/329040.\nAnswer: 4277520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 + 0.7. Let r = 1 + q. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 7*h - 5*h + 2*k, -2*h - 3*k - 4 = 0. Is 12 a factor of 440 + h*(-1 - -2)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -447 + 446.8622. What is j rounded to three decimal places?\nAnswer: -0.138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/sqrt(40))**2 + sqrt(13) + 4*1*sqrt(13) - (sqrt(130) - sqrt(130)*1*3)\/sqrt(10).\nAnswer: 13\/4 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -2*i + n + 311, 5*n + 236 = i. Let t = 649 - i. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45274 + 78395. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -0.1, 17, 2\/9, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12883.\nAnswer: 13, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 544379?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 52*q + 440. What is o(-14)?\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/6*32\/56. Let g = -35.78 + -0.22. Let p = g + 35.5. Which is the closest to -1? (a) p (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120973802.\nAnswer: 2, 17, 1549, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60263*b**3*z**2 - 535493*b**3 + 19*b - 1726*z**2 wrt z?\nAnswer: -120526*b**3*z - 3452*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*b**4 - 29*b**2?\nAnswer: -1440*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 706051118 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = 3*y - 6*r - 57, -5*y + 4*r = -23. Solve 4*k - 2*l = 26, -5*k + k - 3*l + y = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 75 - 15. Suppose 0*a - 4*a + 3*g = -5, 2*a + 4*g - h = 0. Solve -a*x - 13 = 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -61271 and -592146.\nAnswer: -653417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in -3\/10, -1\/7, -1\/8, -0.245, 5, 3\/4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53450693 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276 a factor of 1875424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/9326 and -17\/22.\nAnswer: 102586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*w - 60*w - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*h - 36, 0 = -c - 3*h - 52 + 16. Let i = -33 + -71. What is the common denominator of (i\/c)\/(8\/(-42)) and 63\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 6*h + 5. Let a be m(-5). Suppose 0*x - 2*x + 3*c + 63 = 0, 20 = -4*c. Suppose 3*g = 3*t - t + 10, -5*g = 4*t - x. Solve -a = g*i + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58043317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 12:41 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675889471 to the power of 1\/2, to the nearest integer?\nAnswer: 51729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 93515 (base 10) to base 12\nAnswer: 4614b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = p - 2*n, -4*n = 4*p - 16. Let w(m) be the second derivative of -m**5\/20 + 2*m**4\/3 - m**3\/3 + 3*m**2\/2 + 1160*m. Is w(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -16. Let m = w + -5. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8745170 by -1749034.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -3701?\nAnswer: -3704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 8:43 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 168.932 + -169. Sort 1\/2, q, -4 in decreasing order.\nAnswer: 1\/2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 58. Suppose j + 2 = -2*l, 6*l = 2*l + k*j + 6. Solve l = -0*t + t - 2*h + 4, 0 = -5*h + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 209?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6*a = 7*a. Let y(g) = g**3 + 0*g**3 - 2*g**2 + a*g**2 - 4*g - 2*g**2 + 10. Is y(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323153955 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13754 (base 10) to base 3.\nAnswer: 200212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 13*m = 12*m - 7561, -16 = -4*m. Calculate the remainder when u is divided by 101.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2464*y + 23. Calculate l(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 41 + 35 = -5*l, 4*h + 12 = -l. Solve -4*n - 3*x - 14 = l, 0*x = -2*n + 2*x - 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.77 and 83.8.\nAnswer: 89.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*76\/475*5*1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 12*t**2 - 28*t + 8. Let o be x(-4). Which is the second biggest value? (a) o (b) -7 (c) -1\/4 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24707*f + 24678*f = 2117 for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 6:12 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66757536*g**3 + 313198598*g.\nAnswer: 400545216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003975 rounded to five decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 9070*p - 90697. Determine v(-10).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(171) + sqrt(171) + -1)**2 + -2 + -1.\nAnswer: 36*sqrt(19) + 690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 1559*r**6\/120 - 328*r**5\/15 + r**4\/12 - 1639*r**2. Find the third derivative of u(j) wrt j.\nAnswer: 9354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.69 - -0.39. Which is the closest to k? (a) -1\/11 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -875516 divided by -188.\nAnswer: 4657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 3:50 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3001222013 (base 4) in base 15?\nAnswer: -10a068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55893 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -63*u**2. Let g(i) = -1197*i**2. Determine 77*d(t) - 4*g(t).\nAnswer: -63*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 62*z**2 - 10320764*z + 10320764*z in the form y*z + p*z**2 + u and give p.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -29. Let p = v - -78. Suppose q = 5*q - p. Calculate the highest common divisor of 120 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2134449101 to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6763 is divided by 1445?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -10. Let u be ((-10)\/4)\/(i\/192). Suppose 0 = -y - s + 12 + 12, y = 3*s + 24. What is the greatest common divisor of y and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 - 27*k - 131. Give p(-5).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**8\/2016 - w**7\/315 - w**6\/144 - w**5\/180 - w**2\/2 - 3. Let u(l) be the second derivative of c(l). Factor u(y).\nAnswer: -y**2*(y + 1)**2*(y + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 1, i: 1, y: 2, f: 1, j: 1}. What is prob of sequence mjf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 7425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -18. Let n be (-10)\/(-25)*o\/(-1). Suppose p = -p + n. Solve 2*t = -p*v - 0*t - 10, -3*v - 9 = t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 + -0.03. Let p = 1.1 + -0.54. Let w = p - 0.06. What is the second biggest value in r, -0.3, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -300, -15, -2\/9, -2, 4 in ascending order.\nAnswer: -300, -15, -2, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -968, -3922, -8866, -15812, -24772, -35758?\nAnswer: -48782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -19. Suppose 5*k - 3 + a = o, 1 = o + 4*k. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**2 + 10. Let x(m) = 26577*m**2. Calculate h(x(g)).\nAnswer: -3531684645*g**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42918797 is divided by 2471.\nAnswer: 2469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/((-8)\/8*1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.11, -4, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -337284 - -2451\nAnswer: -334833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -16 - -6) + 0 + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 1:47 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.04 (b) -5 (c) -4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-39)*(n*n**(-1)*n)\/n*n*n*n*n**3 assuming n is positive.\nAnswer: n**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2469 and 41\/21948.\nAnswer: 18063204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**7\/105 - o**3\/2 + 3*o**2\/2 + 3*o. Let t(g) be the first derivative of c(g). What is the derivative of t(m) wrt m?\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577*f**3 + 9*f**2 + 5046*f**3 - 9*f**2.\nAnswer: 5623*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrroo. What is prob of sequence oor?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/27, -9\/4148, -1.\nAnswer: -1, -9\/4148, 4\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -11. Let v be 2\/(o\/3*-1). Solve -t + 13 = -0*t - 2*h, 0 = -4*t - v*h + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 975 = 951. Which is the fifth smallest value? (a) 3 (b) -12 (c) m (d) 0 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = 0. Suppose m - 6 = -4*m - 4*g, m - 1 = -g. Suppose l*s + 6 = m*s. Solve -r - s*r + 8 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 560 + -578. Is -18 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 7*h - 7. Let j be r(-9). Suppose 0 = -i + 12 + j. Let k = i - 14. Solve 0 = -2*g - p + k, -2*p = 4*g - 9*g + 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3981 + 3983. Which is the nearest to -54\/5? (a) p (b) 1\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/129)\/(36\/(-72)). What is the nearest to -1 in c, -4\/3, -0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29788 divided by 16718?\nAnswer: 14894\/8359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*d**3 - 4*d**3 + 4*d**3 + 2*d)*(22 - 54 + 11).\nAnswer: -42*d**3 - 42*d - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/5 - 2*b**3\/5 - 39*b**2\/5 - 68*b\/5 - 32\/5.\nAnswer: (b - 8)*(b + 1)**2*(b + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006334722 to six dps.\nAnswer: 0.000633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 11, 29, 53, 83, 119, 161?\n\"Answer: 3*f**2 + 3*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -13364 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0585 less than 30711476?\nAnswer: 30711476.0585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 5*w**2 + 4*w + 6. What is the lowest common multiple of p(-4) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - 17.9. Let q = 19 + r. Let i = -94 + 93.6. What is the smallest value in 2\/13, -5, q, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1152, 2, 11, -5 in ascending order.\nAnswer: -5, 2, 4, 11, 1152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14*d - 32. Let o(m) = 5*m - 11. Let h(j) = -4*a(j) + 11*o(j). Let l(b) = -b**3 - 48*b**2 - 46*b + 53. Let c be l(-47). Give h(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgddwgwdgdgw. What is prob of picking 1 g and 1 w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*x**2 - 11*x**2 + 63*x**4 + 85*x**2 wrt x?\nAnswer: 1512*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*-21*6\/27. What is the units digit of 248\/o - 4\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -2*k + 36 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1095*m - 370*m - 497*m.\nAnswer: -1962*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -17 + 2*x + 2*x**2 + 5*x**2 - x + 16. Give m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 - 19\/(114\/1128). Let u = 1336 + q. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l + 73*l - 579 = -3*p + 22*l, -3 = 4*p + 6*l - 5 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 21*m**3 - 15*m**2 + 6*m. Let c(t) = -t**3 + 0*t**2 + 4*t**2 - 4*t**2. Let b(f) = 12*c(f) + i(f). Let b(u) = 0. Calculate u.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25474 + 458417\/18. What is the common denominator of w and -73\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 791730 and 858?\nAnswer: 113217390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 12 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-208)\/1365 + (-4)\/(-14). Let d = 0 + -1. Which is the second biggest value? (a) d (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -194.4 > -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, 0.1, -0.09, 4, 12\/13?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1240, 1272, 1324, 1390, 1464?\n\"Answer: -f**3 + 16*f**2 - 9*f + 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*i + 15, -3*l + 7 = -86*i + 91*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 290 - 111 + 45 + 4*k + 385 to the form m*k + f and give f.\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -479172, -958348, -1437522, -1916694, -2395864, -2875032?\nAnswer: -3354198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(2430\/240))\/4*(-60)\/(-16)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/12)\/(((-22)\/(-275))\/(33\/55)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 809600015 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -701, -1405, -2235, -3263, -4561?\nAnswer: -6201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -27. Suppose -4*q + o = -22. Let p = 24 + q. Calculate the highest common factor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4566721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/7 - 8672*s**3\/7 + 1788492*s**2 - 5996668976*s\/7 - 30297416230\/7 = 0. Calculate s.\nAnswer: -5, 1447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*((sqrt(637) + -1 - (sqrt(143)*2)\/sqrt(11))*3*-1)**2.\nAnswer: -11736 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, -1\/5, 5\/3, -12, -9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22154 - 22154 - 1169*w)*(-2*w + 3*w - 2*w)*(-2 + 2 - 2).\nAnswer: -2338*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 6*n**2 - 13*n. Let r be 18\/30 - (-8)\/20. Let p(q) = q**2 - q. Calculate r*g(l) - 6*p(l).\nAnswer: -l**3 - 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.378.\nAnswer: 0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 1 + 11, -2*m + 4*c = 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/17 + 918522*d**2\/17 - 105465384750*d\/17 + 1160008093750\/17.\nAnswer: -2*(d - 229625)**2*(d - 11)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1 (c) -0.2 (d) -2 (e) -0.34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k**4\/4 + 51*k**3\/4 - 1553*k**2\/4 - 1051*k\/4 - 44 = 0 for k.\nAnswer: -16, -1\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (102\/5)\/((-18)\/135). Let l = h - -155. Solve q = -3*w - 14, q - 18 = -l*q + 3*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37003 is divided by 452.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**2. Let n(w) = 2236*w - 1442. What is n(o(k))?\nAnswer: 15652*k**2 - 1442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40257 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 3. Let l = 76 - 77. Which is the closest to u? (a) -5 (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 644.7107um?\nAnswer: 644710.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 6*m**6 - 12*m**5\/5 - 8*m**4 + 16*m**3\/3 - 22. Determine j so that p(j) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 5*l - 3*l - 2*l + 0*l - 3*l + (3*l + 3*l - 5*l)*(-2 - 2 + 2) + 209929 - 209929 - 7*l.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1013923 + -5?\nAnswer: -1013928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 4:38 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22327734.\nAnswer: 2, 3, 11, 13, 53, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -16, 40, 118?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 112*k**2 + 2*k - 1. Let x be a(1). Let p = x - 76. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*4\/(-3)*6\/4. Find the first derivative of -40*f**4 + y + 4 + 4*f**4 + 6 wrt f.\nAnswer: -144*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-3))*d**(-3\/2))\/(d**(-2)*d**10))**(2\/59) assuming d is positive.\nAnswer: d**(-25\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*b = -254*b + 512*b + 768. Sort -4, b, 0, 5 in decreasing order.\nAnswer: 5, 0, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(1100) - sqrt(1100))*-4*-3)**2.\nAnswer: 22809600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -7*f**6\/120 + f**5\/30 + f**4\/12 + f**3\/6 - f**2. Let t be p(-1). Solve -2*d - t = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**5\/4 - 201*v**4\/4 - 2175*v**3\/2 - 13593*v**2\/2 + 68241*v\/4 - 36501\/4.\nAnswer: -3*(v - 1)**2*(v + 23)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 8) to base 15\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 6*j - 2. Let n be p(6). Let i(k) = -k**3 - k**2. Give i(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 17*p**2 - 73*p + 8. What is r(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -4*l**5\/15 + l**4\/12 + 7*l**3\/6 + 9*l. Let m(o) be the second derivative of u(o). List the prime factors of m(-2).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {b: 2, h: 3, f: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(15\/7)\/(r**0)**(-42\/5)*(r**(-1))**(18\/7)*r*r\/(r*r**(-3))*r\/(r\/(r*r**(-3\/7)*r)*r) assuming r is positive.\nAnswer: r**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*b + 5 = 0, -t - 5*b = 37 - 39 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + (20 - 18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -29 - 0) + -36 + 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33061194 is divided by 2755097?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 10 = 4*b, -4*b - 2*a = -2*b - 4. Suppose -1358 = -b*j + 1526. What are the prime factors of j?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 133 (b) -0.4 (c) 63\/2 (d) 1\/5 (e) 2\/17 (f) 0.9 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 - 90*k**3 - 717*k**2 - 1710*k.\nAnswer: -3*k*(k + 5)*(k + 6)*(k + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*m**2 - 49*m**2 + 77*m**2.\nAnswer: 92*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(2\/3)))\/l*l*l\/(l*l**3*l*l))\/(l**(-3\/2)*l**8)*(l*l**(-2\/5)*(l**(-2\/21)\/l)\/l*l)\/(l\/(l\/(l\/(l*l**2)))*l**8*l) assuming l is positive.\nAnswer: l**(-1283\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3026895330?\nAnswer: 2, 3, 5, 163, 618997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.02 + -0.02. Let z = 10.1 - v. Which is the closest to 1? (a) 2 (b) z (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.1, -1045, -1\/9, 5\/52, 0, 4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p**3\/2 - 2100*p**2 - 5202*p - 1896 = 0.\nAnswer: -2, -4\/9, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251 (base 9) in base 14?\nAnswer: 4ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59a129 (base 12) to base 11.\nAnswer: 8aa0a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**2\/8 + 525*c\/8 - 801\/4 = 0.\nAnswer: -178, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 2. Let x = 0.41 + -3.41. What is the biggest value in 1\/4, 4\/7, x, i?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, -29, -85, -175, -305, -481?\n\"Answer: -f**3 - 8*f**2 + 3*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.92 + 13. Let r = 48 + -334\/7. Sort -2, r, c in ascending order.\nAnswer: -2, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 213 = 138. Sort 4, -2, l, -4 in decreasing order.\nAnswer: l, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154\/5 - 31. What is the smallest value in m, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-5)\/((-30)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -26. Suppose -30*o = 1007 - 47. Let l be 4\/(-6) + (o\/(-12) - 0). Solve -8 = l*z - k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*26\/(-784)*28\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, -3, -10, 20, 21.\nAnswer: -16, -10, -4, -3, 20, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/(-28) + 4\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24329569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -877 and 200562?\nAnswer: -175892874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/9 + 74*i**3\/9 = 0. What is i?\nAnswer: -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -336*k + 294*k + 588 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - ((-63)\/9 - 2). Solve -5*z - 8 = 3*y + 9, -2*y - u = z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.013 (b) -0.2 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12793 is divided by 2071?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-1)\/(5\/125). Suppose 0 = -j*z + 23*z + 48. Suppose -5*i + 11*i = z. Sort 0, i, -1 in ascending order.\nAnswer: -1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-1))\/(-46 - -45). Solve 5*h - 4 + 9 = u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195260494.\nAnswer: 2, 11, 13, 682729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 5:38 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 7*x**2 + 2*x + 15. Calculate l(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {b: 1, v: 7, d: 6, q: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242264 + 484732 - 6*i - 242468.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*v**3 - 3*v**3 - 2*v**3)*(-7 - 2 + 2).\nAnswer: -105*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.1, 1\/3, -9, 4\/3.\nAnswer: -9, 0.1, 0.2, 1\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 9*l + 12*l + 0*l + 4 - 2*l. What is h(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/13477 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -10 and -17.4.\nAnswer: -27.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-273)\/(-12)))\/((-4)\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9537, -15456, -21375?\nAnswer: -27294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024376898 rounded to four decimal places?\nAnswer: -0.0244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 - -0.18. Let x = -0.00000035 + r. What is x rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2\/8 + 31311*x\/8 - 31299\/2 = 0.\nAnswer: 4, 10433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0175 + -3.0175. What is the closest to 2 in 0.33, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-9))*s*s*s**(2\/7)*s)**(-41)\/(s**(-2\/11)*s*s*s**1\/s*s*s**(-2\/11)*s\/s**(2\/7)) assuming s is positive.\nAnswer: s**(17782\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 51 + (20\/10)\/(10\/(-15)). Calculate the highest common factor of x and 1200.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -110922 or 71\/54?\nAnswer: 71\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/715 and 4\/275.\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -246*p - 131. Let x(n) = 738*n + 394. Let i(y) = -17*c(y) - 6*x(y). Is i(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*q**3 - 2*q - 11*q + 13*q.\nAnswer: -336*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9169586172 and -6445?\nAnswer: 9169579727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 759, 1267, 1527, 1539, 1303, 819, 87?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 8. Let i be (2 - 8\/12) + 2\/3. Let l(s) = -54 + 2*s**2 - s**i + 54. Calculate l(x(a)).\nAnswer: 4*a**2 + 32*a + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/(-55) - (-11)\/((-44)\/16)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/105)\/((-660)\/(-770))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2535789756.73997819 - 2535791346.74. Let f = m + 1590. Round f to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1001*b - 11358. What is f(-10)?\nAnswer: -1348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + 82. Suppose -c - 44 = 2*t, 4*c = -0*c - 16. Calculate the remainder when t\/25*55\/(-2) is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 - 12 = 0. Let f = 7 - y. Solve -s = f*s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/21, -116\/19, -39 in descending order.\nAnswer: -1\/21, -116\/19, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**7)\/d*d)\/d*d)\/d*d\/(((d\/(d\/(d\/d**(-6))))\/d)\/d))\/(d**(-2\/9))**30 assuming d is positive.\nAnswer: d**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.124 (c) -3\/2 (d) -2 (e) 6\/5 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.75953*1.41.\nAnswer: 1.0709373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5.36 (b) -11 (c) 0.6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 11*h**2 - 8*h + 18. Let b be g(-10). Put 0, b, -5 in increasing order.\nAnswer: -5, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 * 45026.\nAnswer: 81046.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6530581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 20 = -n. Suppose 1 = n*z - 3. Are z and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g - 4 + 2)*(0 + 2 - 4)*(-653905*g - 1389 - 653914*g + 1307818*g).\nAnswer: 2*g**2 + 2774*g - 5556","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**3 + 24*d**2 - 34*d - 22. Calculate the remainder when j(-8) is divided by 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10187 and 71 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13 - -0.43. Let a = 2.53 - 2.4. Let v = a + -0.13. Sort n, 4, v in increasing order.\nAnswer: v, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993 a factor of 244404018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(3520) + 2*sqrt(3520) + sqrt(3520) + sqrt(55))\/sqrt(11) + ((sqrt(405) - sqrt(5))*-2)**2*-5.\nAnswer: -6399 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*t + 2*t + 72, -2*t - 24 = 0. Solve -66\/7*a**4 + 363\/7*a**5 + 0*a**2 + 0*a + 3\/7*a**3 + c = 0.\nAnswer: 0, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3*v = -21, -4024*v + 4027*v = 4*k + 42 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/9)\/(6\/9)*(-33)\/22)\/11.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 31*b - 29. Let p be t(1). Calculate the highest common factor of 38 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-36)\/9 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18707 (base 13) to base 16.\nAnswer: -b8df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Let a be (-400)\/(-220) - 2\/(-11). Suppose -a*l + 80 = t*l. Solve -l + 1 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 6*d**2 + 3*d - 5. Let t be l(-5). Suppose 4*k + t*u - 49 = 79, -3*k + 4*u = -65. Let v = k - 10. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2419237 + -31542.\nAnswer: 2387695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6163*f - 2170. What is the ten thousands digit of l(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.52624 millilitres in litres?\nAnswer: 0.00252624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1784 or 292.3?\nAnswer: 292.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {w: 8, c: 2, o: 4, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 24.1?\nAnswer: 9.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*q**6 + 45*q**2.\nAnswer: 3360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 63?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 11*r**2 - 12*r + 2. Let p be o(-12). Let n be (-4)\/(-14) + (-36)\/(-21). Let a = n - 1. Put p, -0.2, a in descending order.\nAnswer: p, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13142*q**4 + q**3 + 2233*q**2 + 3*q - 1 wrt q.\nAnswer: -315408*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4935*y**2 - 1208*y**2 - 1307*y**2 - 1210*y**2 - 1219*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(-18)\/(-3240))\/((-2)\/(-4)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2721006 and 51?\nAnswer: 46257102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 132\/351 - 6\/39. Let a = 0.1 + -3.1. What is the second smallest value in d, -3\/4, a?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 236874 and 8?\nAnswer: 947496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 7 = -33, 0 = -5*t - 12*s - 176 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 2320 + -2162. What is the remainder when p is divided by 65?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1983133.\nAnswer: 67, 29599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107.949 - -108. Let w = p - -2.949. Which is the second smallest value? (a) 9 (b) -0.3 (c) w (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1082*p**2 - p + 117. Let r(j) = -1083*j**2 + j - 130. Determine -10*n(l) - 9*r(l).\nAnswer: -1073*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/8 (b) -3\/55 (c) 2\/21 (d) -32 (e) -2613\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/((-11)\/(-891)). Calculate the remainder when ((-197)\/(-3) - 9\/s) + -3 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90974250 by 30.\nAnswer: 3032475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392342 is divided by 4359?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -775062743 * 0.3.\nAnswer: -232518822.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40808 and 285656?\nAnswer: 285656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-608)\/(-5776) - 53\/(-38). Is o > -199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 9*p - 5. Let i(v) = 3*v**2 + v + 1. Let n be i(p). Factor -4*w**2 - 7*w**4 + 19*w**n - 3*w**3 + 0*w**2.\nAnswer: -w**2*(w - 2)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4441500 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 3. Let t be p(-4). What is the closest to 0.1 in t, -5\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 3:34 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14388938, 28777875, 43166812, 57555749, 71944686, 86333623?\n\"Answer: 14388937*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3633 + -25429\/7. Solve o*d + 2\/7*d**5 - 4\/7*d**3 + 6\/7 - 12\/7*d**2 + 6\/7*d**4 = 0 for d.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 - 5*y**3 - 45*y**3 + 2.\nAnswer: -50*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 12:46 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 4. Let u(w) = -w - 4. Let n(r) = 3*f(r) + 4*u(r). Let h be n(-5). Is (3 - (22 - h))*-1 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.3 (b) -5\/516 (c) -3\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o**3 - 16*o**2 - 48*o - 39. Let w(m) = 6*m**3 + 16*m**2 + 46*m + 38. Let b(a) = -4*t(a) - 6*w(a). Suppose b(v) = 0. Calculate v.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + 1125?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17635549 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 - k - 4. Suppose 2*g - g - 2*o = -6, -3*g - 2*o = -6. Suppose g*i = z + 5*i + 2, i = 3*z - 10. What is x(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/5096 and 57\/26?\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from assaaasa. Give prob of sequence aas.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 977627*i + 977634. Give b(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 0*g**3 + 4*g**3)*(2 + 3 - 4) + 5*g**3 - g**3 - 2*g**3 + 23816*g**3 - 11934*g**3 - 45 - 11905*g**3.\nAnswer: -20*g**3 - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.079 + -2.079. What is the second biggest value in 5, -0.21, g?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2566.\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 270, 606, 1068, 1650, 2346, 3150, 4056?\nAnswer: 5058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + -5 + sqrt(153) + 0)*-4.\nAnswer: -12*sqrt(17) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + -14)*2\/(-2). Let g(v) = v**3 - 8*v**2 + 5*v - 6. Let i be g(f). What is the remainder when 16 is divided by ((-15)\/i)\/((-1)\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60017 equal to 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6. Let u(m) = 5*m + 62. Let w(n) = n. Let l(z) = u(z) - 2*w(z). Let g be l(-20). Solve k = 5*j - g*j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2980 - 2984. Let v(x) = 7*x**3 - 2*x**2 + 3*x. Let d(h) = -h**3 + h**2 - h. Give l*d(j) - v(j).\nAnswer: -3*j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 0 - (-3 - -3). Let g be 1 - (w\/(-2) + 1). Let x = -0.9 - 0.1. Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 4. Suppose -4*a + 31 = -3*n, a + 4*n - n = 4. What is the highest common factor of f and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*n = -13, 2*z + 1579*n + 19 = 1584*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 27. Suppose x*z + 2*n = 26, 4*n + 18 = -z + 3*z. Is (1 - 2)*(-2737)\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-38 + 1)*(-3)\/(-2)*2. Solve -49*r + 30*r = -u for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5841 divided by 3494.\nAnswer: 5841\/3494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1585*b - 5. Let a be s(-2). Let r be a\/27 - (-16)\/(-72). Calculate the highest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.1 - 1822863\nAnswer: -1822873.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s + 4*z + 10 = 0, s + 1 = -z. Let a be (-1)\/s - 1\/(-1). Let f = a - -1. Is 0 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461863.\nAnswer: 23, 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 564?\nAnswer: -5\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 4*q - 3. Let l(z) = -16*z**2 - z + 18. Let k(y) = -29*y**2 - 3*y + 32. Let m(p) = -4*k(p) + 7*l(p). Determine 3*j(f) - 2*m(f).\nAnswer: f**2 + 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-10 - (-11 + -6) - (28 - 4))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6929\/2 - -3466. Suppose -29 = 5*z - 4. Sort z, s, -2, 3 in descending order.\nAnswer: 3, s, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1691496 (base 10) to base 3\nAnswer: -10011221022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 11:16 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 4332?\nAnswer: 21660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = y - 3*n, -y - 203 = -n + 25. Let p be 2\/((-3)\/(-3)) - 38. Find the common denominator of y\/p + (-2)\/(-9) and -77\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/180)\/((-2)\/14*20\/(1200\/(-12)))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62308460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44339 = -3*i + 4*r, -5*i = -3*r - 2*r + 73905. Let m = -9614 - i. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -180*y**2 - 93*y + 66.\nAnswer: -3*(5*y - 2)*(12*y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1079 - -1082. Let o = 114 - 77. Suppose -3*k - 38 = -5*y, -k - o = -5*y + k. Calculate the remainder when y is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*h + 5, -3*h - 2*h = -5*c + 15. Suppose 0*v + 3*v = c*y + 320, -3*v - 149 = 2*y. Let o = -56 - y. Which is smaller: 0.2 or o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - x**2 + 3*x**2 - 9*x**2 - 2*x**3.\nAnswer: -2*x**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/7 and (116\/(-60) + 2)\/(2\/265).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*t + 25*t - 16*t + 63*t + 2*t - 1 in the form w*t + m and give w.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7409, -14817, -22225, -29633?\n\"Answer: -7408*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j + v - 3*v, -2*j + 3*v + 26 = 0. Let f be (-30)\/(-9)*j\/28. What is the third smallest value in 2\/17, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 9 = 5*t. What is the remainder when 2\/t*-3 + 119 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(242) + sqrt(242) + -1 + sqrt(242))*6 + sqrt(242))**2.\nAnswer: -2508*sqrt(2) + 87395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 2*j - 2. Let y be t(0). Let s(u) = 4*u**2 + 3*u - 3. Let p(h) = -3*h**2 - 2*h + 2. Give y*s(l) - 3*p(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + w - 11811 = 0, 3*x = -3*w - 3009 + 11874. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4769*v**5 - 5251*v wrt v?\nAnswer: -95380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -943, 5, -2, 847 in decreasing order.\nAnswer: 847, 5, 4, -2, -3, -943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-7)*350\/(-75) - -13?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41532 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -249 + 249. What is the smallest value in z, -5, -0.3, 5\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 9 - 14 - (3 - (-4 + -6) - -43)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-8) + -1 + (-407)\/(-74).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/140 and -59\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from {v: 1, x: 2, h: 1, i: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12328 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.7, 3\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (6 - -11) + (0 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2736528 + 5051899. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 240940, 0.5, 398?\nAnswer: 398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 180\/7 (b) 0.3 (c) -19292\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.00109 + 4223.\nAnswer: 4230.00109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*c - 1008 = 9*c. Solve -c*n - 3 = -18*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(sqrt(432) - -2*sqrt(432)) + -5 + sqrt(12)\/sqrt(16))**2.\nAnswer: -95*sqrt(3)\/18 + 11161\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 73.\nAnswer: 14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -21, -23?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 7*p**2 + 8*p + 7. Let b be d(-6). Let y = -14.13 + 0.13. Let w = y - -14.5. Sort b, w, 0.17, 2.\nAnswer: b, 0.17, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119188897.\nAnswer: 113, 1054769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 6*c**2 + 11*c**2 + (-3 + 0 + 5)*(0*c**2 + c**2 + c**2) - 1 + 1 + 2*c**2)*(-2 + 4*c**3 + 2).\nAnswer: 56*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*r = 104, 8*p - 3*p + 4*r = -128. Let f be ((-6)\/(-4))\/((-2)\/p). What is the remainder when f - 1 - (2 + -2) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -153898*b**2 - b. Let r be z(1). Let d = -13899 - r. Round d to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/15*t**2 + 0 + 4\/3*t = 0. Calculate t.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5091.\nAnswer: 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6846288 divided by 214\nAnswer: -31992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385080, -770162, -1155242, -1540320, -1925396, -2310470, -2695542?\nAnswer: -3080612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22823080 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 17. Let l be u(-15). Suppose -5*k = -w + 25, -l*k - 3*k = 4*w - 25. What is the smallest common multiple of w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5387*i + 1580320 - 1580320)*(1 - 1 - 3).\nAnswer: 16161*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + -30122?\nAnswer: -30145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.7, -131692, 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -13*t**2 - 21*t. Let i(b) = 29*b**2 + 49*b. Let a(m) = -6*i(m) - 14*n(m). Let l(h) = -331*h**2. Determine l(a(q)).\nAnswer: -21184*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and (-14)\/(-4)*600\/35?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwwwwwmwmmmwww?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -341548 or -341551?\nAnswer: -341551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 99*t**2 + 106*t - 448. What is the least common multiple of 80 and y(4)?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11418297 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 6*l - 14)*(-2 + 2 + 1).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 5*r + 16. Let b be (-4)\/1*(-28)\/8. Does 22 divide o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1990*y**2 - 585*y**2 - 245*y**2 - 581*y**2 - 581*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 980 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: What is the thousands digit of 1613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 908136 and 344.\nAnswer: 39049848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.006 + 0.686. Let a = 59.32 + d. Let l = a + -59.9949. Round l to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 456 * -0.118.\nAnswer: -53.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h + 1. Let n be 3\/12 + 3\/(-12). Calculate the least common multiple of w(n) and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.5 + 6.5. Let u = 0.5 + 7.5. Let w = u + x. Which is the closest to -1\/2? (a) w (b) -0.3 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 6 = -3*q + k, -6 = -5*q - 2*k. Suppose 0 = -2*g - 4, -q = -2*v + 3*g + 4. Solve 2*w - 3*h = -4, -3*w + v*w + 4*h = 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (sqrt(84) - ((sqrt(84)*-1 - sqrt(84)) + sqrt(84)) - sqrt(84))*3 - (-1*sqrt(84) - sqrt(84))*-6)\/(((sqrt(36)*-2 - sqrt(36))*1)\/sqrt(3)).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**2 + 724*g - 1010. Determine d(102).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 306*w + 10092. Determine c(-30).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20650, -82514, -185622, -329974, -515570, -742410, -1010494?\nAnswer: -1319822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sciu when four letters picked without replacement from {c: 7, s: 1, u: 3, i: 3}?\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.1 (c) 11 (d) 160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 385 + -41902.\nAnswer: -41517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 89 = 85. Solve -16\/17*n**3 + 6\/17*n**f - 2\/17 + 8\/17*n**4 + 4\/17*n = 0.\nAnswer: -1\/2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/4 + 6*c**2 - 33*c\/4 - 15.\nAnswer: -3*(c - 5)*(c - 4)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -114, 3.3, 1\/9, 2\/15?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 1401 (b) 3\/4 (c) 1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27540328, -27540346, -27540376, -27540418?\nAnswer: -27540472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -1\/4, 1, -698\/3, 0.1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from esussceuccc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(875) + (sqrt(70)*3)\/sqrt(2))\/(sqrt(343) + sqrt(343)*1 + sqrt(343) + sqrt(343) + sqrt(7) - sqrt(7) - (sqrt(28)*-1 - sqrt(7))) + 5.\nAnswer: -2*sqrt(5)\/31 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/3)\/((-1)\/(-6)). Suppose 0 = -36*m + 44*m - 1040. Let o = m - 130. Solve 0 = t*r - 10 - o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182 - -187. What is the closest to 0.2 in 0.4, 3, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 24*q**2. Let f(l) = 402690*l - 2*l**2 - 402690*l - 4. Determine i(f(j)).\nAnswer: 96*j**4 + 384*j**2 + 384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:12 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than -59\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5240000 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(108) - ((sqrt(108) - (-2 + sqrt(108))) + -4))**2.\nAnswer: 72*sqrt(3) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 113400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -30*v**4 + 27*v**3 + 141. Find the third derivative of f(y) wrt y.\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1 = y - 8, 0 = -5*z + 5*y + 15. Suppose 4*j - 16 = 0, -7*x + z*j + 36 = -3*x. Solve -x*u = -17*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.106084 decades?\nAnswer: 61.06084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -0*p - 2*p. Let q(a) = a**2 + 36*a + 81. Calculate the remainder when q(-35) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2528, 7120, 11712, 16304?\nAnswer: 20896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from ehetnykyn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533 = i + 5*l, i = -3*i - 4*l + 2116. List the prime factors of i.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 338*c - 3222. Determine b(12).\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6725\/11 + -611. Factor -2\/11*c**3 - 4\/11*c**2 + 2\/11*c + y.\nAnswer: -2*(c - 1)*(c + 1)*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -1262.\nAnswer: -3\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.67 in 4269, 0.16, 0.2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 88 - (-28 - (-69 + 38 + 21))\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 + 81 = 0. What is the remainder when n is divided by (9\/(-15))\/(3\/(-45))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(3\/31)\/m)\/m)\/(m*(m\/m**7*m)\/m))\/(m\/(m\/(m*m**13*m))*m**(-30)) assuming m is positive.\nAnswer: m**(561\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 88*s**2 + 45*s + 3946. Calculate a(89).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 125*r + 29?\nAnswer: 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 247637.28 months in millennia?\nAnswer: 20.63644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 4*b**5 + 2*b**2 + (-2*b**3 + 0*b**3 + 0*b**3)*(3*b**2 + 0*b**2 - 2*b**2) + 3553 + 65*b**5 - 3553.\nAnswer: 67*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Suppose -2*y - 22 = -2*d, 0 = 5*y - 10*y + 2*d - 40. Let m be ((-16)\/y)\/(2\/9). Is m equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 0 + 0 + (0 + 0 + q)*(-q - q + 0*q) + (0 + 4 - 3)*(-10*q + 3*q - q)*(-2*q + 2 - 2).\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 5)*(-x + 3*x + 0*x)*(-4 + 6 + 2)*((-x - 1 + 1)*(1 - 1 + 7) + x + 0*x - 3*x).\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (2\/7)\/((-4)\/(-28)). Let y be (3\/(-126))\/(4\/64). Are j and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25106 (base 7) to base 9.\nAnswer: -10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-9)*(11070\/1035)\/82\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 57. What is the closest to f in -39, 16, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-135)\/25 - 4\/10. What is the biggest value in 2\/29, 2\/13, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1620 * 2\nAnswer: 3240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 897845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3*82 + -5)*-5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7510880 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 71. Calculate the greatest common factor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104657 (base 10) to base 4.\nAnswer: 121203101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (11 - 20) - -19) + (-24 - -18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 + -81. Let v(z) = -64*z + 118*z - u*z. Let d(m) be the third derivative of m**5\/15 + 2*m**2. Give d(v(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-12)*(-2)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-375)\/2*(-650)\/5. Let y = q - 14177. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -7. Which is the biggest value? (a) 2\/13 (b) v (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(1176)*-2 + sqrt(24))\/((1*sqrt(96))\/sqrt(12)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 + 388 = -5*o. Suppose t + 4*r + 198 = 2*t, -5*r = 3*t - 645. Let m = t + o. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 2*f**2 - 4*f + 41. Give w(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**4\/4 + m**3\/3 - m**2\/2 - m - 1. Factor u(n).\nAnswer: (n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -5. Let x = g + -4. Let c = x + -1.0000045. What is c rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*f + 3*d, -5*f - 8 + 43 = -3*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6810?\nAnswer: 2, 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5720 - 3115. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 17?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 25*q**3 - 42485*q**2 - 133785760*q + 53521100 = 0.\nAnswer: -1615, 2\/5, 3314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.17 - 99.17. Let f = v + 100.9. Let r = f + 0.1. Is r smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11845430 to the nearest integer?\nAnswer: 3442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 2\/5 (c) -1\/2 (d) -32 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 289 = 292 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2) + sqrt(2)*2))**2 + 6*(sqrt(2) + 1) + 2.\nAnswer: 6*sqrt(2) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 15254421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 279784 divided by -1706?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -178360, -356748, -535162, -713614, -892116, -1070680, -1249318?\n\"Answer: -2*b**3 - b**2 - 178371*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 222249002317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70859 + -22128. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -0.5. Let s be (4 + 30\/(-12))*692\/(-1557). What is the nearest to r in s, 9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1300) + (sqrt(91)\/sqrt(7))**2 + 2 + ((5 + (sqrt(13) - sqrt(1053))*-5)*-3)**2 + 0.\nAnswer: 3620*sqrt(13) + 187440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 18 - 2 = 0. Let j(h) = -h**3 + 3*h**2 - 2*h - 9. Let q be j(o). Let a = q + 37. Solve -11 = a*x + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 37 = -2*o + 2*l, l = 5*o + 66. Let a(q) = -q**2 - 9*q + 67. Let r be a(o). Solve p + r = 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2*v = 2, 2*j + 268 - 252 = 4*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*4*sqrt(152)*1)\/(sqrt(512) + ((sqrt(512) + (sqrt(512) - ((sqrt(512)*-1 - sqrt(512)) + sqrt(512))) + sqrt(512) + sqrt(512))*3 - sqrt(512))).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 266. Calculate the remainder when c is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506855 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60650.53739 - 60651. Round l to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 221*g + 63. Calculate n(0).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13120 - 0.2.\nAnswer: -13120.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 17*v**6\/15 + v**5\/30 + 493*v**3\/6 + 741*v**2. What is the first derivative of o(m) wrt m?\nAnswer: 408*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1076574, -1076575, -1076576, -1076577?\nAnswer: -1076578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*a**3 + 72*a**3 - 6 + 57*a**3 + a**2 + 2*a**4 to the form d + o*a + k*a**4 + y*a**3 + f*a**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 250 - 489\/2. Let h = -13004 - -13009. Which is bigger: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-8)*(0 + 0). Let i(h) = z*h**2 - 3 - 2*h - h**2 - 4*h + 2*h**2. What is i(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 54*v + 170*v + 9*v**2 + 0 - 8*v**2 + 2.\nAnswer: v**2 + 224*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 321052852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-2\/3)*w))**(1\/32)*w*w\/(w*w*(w*w**(1\/5)*w*w)\/w*w)*w**(-3\/2))\/(w**(1\/5)*w**0*w**(-5\/3)\/(w*w**4\/w)) assuming w is positive.\nAnswer: w**(63\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/9)\/(7\/6). Let i = d - 13\/42. Which is the smallest value? (a) i (b) -1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {d: 2, v: 6, g: 9}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -14*b - 1338. What is a(-95)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 5*i**2 + 578*i - 2888. What is j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -39*j**2 + 6*j - 6. Suppose 7*r - 393 = -q, -252 = -4*r + 21*q - 25*q. Let z(g) = -350*g**2 + 55*g - 55. What is r*f(k) - 6*z(k)?\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.9705 - 0.1005. Let p = q - 7.8699854. Round p to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 + 2*m - 1. Let j(p) = 18*p**2 + 5*p - 8. Give 5*d(h) - j(h).\nAnswer: 2*h**2 + 5*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75096*b**3 + 150*b**2 + 75102*b**3 - 306*b**2 + 156*b**2.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 2\/1 - -2. Let f be (-3 - -5)\/((-13 - -16) + 40\/(-15)). Solve -b - a = -f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43777*a**3*u - 647*a**3 - 27*a*u + 4*a - 8*u - 1495 wrt a?\nAnswer: 262662*a*u - 3882*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 3\/(-2)*(-42 - -40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4140\/(-414)*(-2)\/110.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 1:56 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*u + 213*u - 75*u + 142*u**2 + 3 - 57*u.\nAnswer: 142*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000111000101001110110 (base 2) in base 13?\nAnswer: -1475386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + 1 + (8 - 8) + 16\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9*(-10)\/(-60))\/(-3). Let w = -1 + 1. Let g = 5 + w. What is the nearest to m in -0.4, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpz when three letters picked without replacement from {z: 2, v: 2, p: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 47985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-26543)\/(-23672))\/((-2)\/(-4)). Let q = n - -2\/269. Which is bigger: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 2*r**2 - r + 8. Let o = -837 - -842. Suppose 3*n = -2*v - 15, -o*v - 42 = -n - 47. What is d(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2001, 0, -21, -4, 4 in decreasing order.\nAnswer: 2001, 4, 0, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -2.4 (c) -1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-7)\/((-14)\/(-9)). Let c be ((-116)\/(-32))\/(2\/14). Let u = 25 - c. Put n, -3\/4, u in descending order.\nAnswer: u, n, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 2*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 277, 212, -93, -716, -1735, -3228?\nAnswer: -5273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1038*g - 1042*g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**2 + 4639216*k + 1345145318416 = 0. What is k?\nAnswer: -579902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7013658.02 - -192\nAnswer: -7013466.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -78\/11 (b) -1125 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2180 + 472. Does 51 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 + -9 - -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v. Let x(c) = c**2 + 2*c**2 + 5*c**2 + 4*c**2. Determine x(n(z)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-1)*1 + 3. Suppose m = 14*p - 19*p - 25. Put p, 4, 5 in ascending order.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 7*f**2 - 7*f - 17. Let s = 220 + -227. Let d be p(s). What is the greatest common factor of 32 and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6121241, 24485005, 55091297, 97940123, 153031489, 220365401, 299941865, 391760887?\nAnswer: 495822473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-36))\/((-32)\/128).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3705694 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 2*y. Let g be n(-3). Let s = 6 + -3. Let h = 6 - s. Solve -g*f = -3*a + 3, h*a - 4 = -a + f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1235*t**3 - 1230*t**3 - t + 2*t - t.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jejjfjfjdfjjjeff. Give prob of picking 2 e.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19770, 39554, 59344, 79140, 98942, 118750?\nAnswer: 138564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-830)\/332)\/((-6)\/((-72)\/(-15)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 + -45. Suppose -5*p = -5*i - 155, -2*p + 190 = 3*p + 2*i. Calculate the remainder when p is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127 - -131. Let d be (-3 + 2 - -2)*(f - 2). Factor 0 - 1\/4*g**d + 1\/4*g.\nAnswer: -g*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 727 - 67 = 0. Let h be (-1519254)\/o*((-5)\/3 + 1). Let k = -4774 - h. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2068 divide 53432081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in nanograms?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.461692 centuries to months.\nAnswer: 6554.0304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22680 = -10*r + 43310. List the prime factors of r.\nAnswer: 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**2 - 3*p - 2. Let y(n) = 14*n + 38. Let f(a) = -a - 1. Let v(g) = 5*f(g) + y(g). Let k be v(-3). Calculate w(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjj. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154.9 - -159.9. Put 2\/9, j, 2\/37 in decreasing order.\nAnswer: j, 2\/9, 2\/37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 158.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1036, -778, -84, 1262, 3476, 6774, 11372?\nAnswer: 17486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:09 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let y(p) be the third derivative of p**5\/60 + 3*p**4\/8 + 5*p**3\/3 - p**2. Let u be y(-8). Sort -4, u, o.\nAnswer: -4, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 5*s + 4*s)*(-3 + 1 + 0)*(3*s - s - s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 2. Let c(g) = -7. Let z(o) = o - 1. Let j(d) = -c(d) + 2*z(d). Let v(p) = -2*j(p) - 5*q(p). Let b(r) = 2*r**2 - 18*r. Calculate b(v(l)).\nAnswer: 2*l**2 - 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -734, -1453, -2170, -2885, -3598?\n\"Answer: z**2 - 722*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4564\/(-21))\/(14\/12). Let q = o - -186. Which is smaller: 6\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3993)*3)\/(2*sqrt(9)\/sqrt(3)) + (sqrt(44) + 3*sqrt(396) + sqrt(396))\/(sqrt(28)\/sqrt(7)*2).\nAnswer: 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15675 and 685.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {u: 3, h: 4, y: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (152\/14 - 3\/(-21)). Let s be (2 - b\/8)\/(3\/36). Let t(p) = p. Let o be t(-3). Sort o, 0, s in ascending order.\nAnswer: o, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.035 in -4, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8259098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1926951, 1926943, 1926933, 1926921?\n\"Answer: -j**2 - 5*j + 1926957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.006002 (c) 8\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 0*s - 5*s - 3*s**2 + 4 + s**3 + 1. Let u(b) = -b**3 - 9*b**2 + b + 13. Suppose 4*t + 54 = -2*t. Let l be u(t). Calculate q(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -3. Which is the nearest to -5? (a) 0 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(1\/2))\/l)**(2\/37))**(-3\/16) assuming l is positive.\nAnswer: l**(3\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 8*j - 1. Let x(b) = 3*b**2 - 22*b - 26. Determine 2*a(g) - x(g).\nAnswer: -5*g**2 + 6*g + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 9:59 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 4557*u**2 + 25*u - 4559*u**2 + 8*u.\nAnswer: -2*u**2 + 33*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111*b**2*w**3 + b**2*w**2 - b*w**3 - 1350*w**3 wrt b?\nAnswer: 222*b*w**3 + 2*b*w**2 - w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.23 + -0.07. Let k = 15 - 6. Let c be -1*((-21)\/k + 2). What is the smallest value in -4, b, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 14*i - 14. Let r be a(-10). Let k = r - -26. Calculate the highest common divisor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 742217 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-2) + (0 - (-170)\/40).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 83370 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1488 = -41*p - 2193 + 1976 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*c - 47, 4*h + 3 = -1. Let m = 24 + c. Suppose m*l - 9 = -w, 3*w = w. Solve -l*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f + 13*f + 15 = 2*o, -2*o - f + 3 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.7297347 and 72794947.\nAnswer: 72794945.2702653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = -12*c + 363. Suppose 81*z = c*z + 100824. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**3\/3 - 13*o**2\/2 - 8*o + 6. Let y be a(-12). Suppose 0 = y*c - c. Solve c = -d + 2 - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78796.74t in grams?\nAnswer: 78796740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 677320 divided by -10?\nAnswer: -67732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/(-45))\/(4\/110). Suppose -3*z = -3*t, -3*t = 4*z - 4*t - 12. Let y be 40\/z*33\/6. Calculate the greatest common divisor of y and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32922 and 8928?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (18\/10)\/((-27)\/(-90)) and 585.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + o - 10. Determine f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*(-164*l - 89 + 117*l + 61*l).\nAnswer: 28*l - 178","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9500252 - 3699748. Round g to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/((-159)\/(-1908)). Let i(v) = -8*v**2 + 11*v + 11. Let n(l) = 4*l**2 - 6*l - 6. Give c*i(w) - 11*n(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 54. Suppose -10 + y = u. Let b(o) = 3*o**2 - 3*o + 3. Calculate b(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*w - 42*w + 17*w**2)*(-3*w - 3*w + 16*w)*(-4 + 0 + 0) + (2*w**3 - 3*w**3 + 3*w**3)*(4 - 4 + 5).\nAnswer: -670*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 406*k. Let q(d) = -5*d + 48. Let m(g) = g - 8. Let w(v) = 6*m(v) + q(v). Determine w(i(l)).\nAnswer: 406*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d - d + 3*d)*(-8 + 2 - 1 - 1 + 0 + 0 + (2 + 0 - 3)*(4 - 3 - 3)) to the form c*d + g and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8*t = -50. Calculate the common denominator of t and 3 + (-328)\/20 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -857770, -5, -6 in increasing order.\nAnswer: -857770, -6, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1720)\/(-2580)*30\/(-28)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -42, 4, -15140 in ascending order.\nAnswer: -15140, -42, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9187, -9207, -9239, -9283, -9339?\nAnswer: -9407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 17*k + 18. Let r be z(-10). Find the common denominator of (1 - (-14)\/r)\/((-60)\/(-332)) and -93\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28948, -57582, -86238, -114928, -143664?\n\"Answer: -2*q**3 + q**2 - 28623*q - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 14 = 12*c + c. What is the greatest common factor of c and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39637553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68452?\nAnswer: 2, 109, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyf when three letters picked without replacement from {b: 6, f: 1, y: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23082 and 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-28)\/42)\/((-2)\/90). What is the highest common divisor of 210 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*f**4*r + 3*f**4 - 199*f**3*r + 38*f**2*r + 19*f*r - 5*r wrt f?\nAnswer: 336*f*r + 72*f - 1194*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 17*p = -4*h + 42, -8*p + 45 + 43 = -7*p + 85 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 10*p**3 - 2*p**2 + p. Suppose 3*j - 3 = -0. Suppose -c - 2*u + 0*u = -j, 0 = -u. What is the units digit of m(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 11*l - 25. Suppose 0 = l*h - 3*h. Solve -3*j + 3*p = -h*j - 12, -3*j - p = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 6*i - i + (-4 + 2 + 0)*(0*i - i + 2*i) + (4*i + i - 4*i)*(-4 + 2 - 1) + i - 4*i + i + (-i + i + 2*i)*(-1 + 0 + 3) - 5*i + 3*i + i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -13. Suppose l = 4*b - 11 + 3. Solve -4*r + p = 2, 0 = 2*r + 3*r + b*p + 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-39))\/((-3)\/(-12)). Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2719479 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*n = 332*n - 30 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 36*y + 1. Let q(i) = 43*i**3 + 34*i + 36*i**3 - 78*i**3 - 20*i**2 + 37. Let f be q(18). Calculate o(f).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 + (-52)\/(-16). Suppose -3*x + 5*r + 15 = -4*x, -x = -2*r - 13. Put 2, x, c in decreasing order.\nAnswer: x, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 + 306\/5. Is j smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/19 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4\/5, -8, -1\/4, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(5\/((-210)\/(-14)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81655\/36 - -2268. What is the common denominator of 59\/8 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 273695741 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 121?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-6 - -3) - 9 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*k**3 - 71*k**3 - k**2 - 55*k**3 in the form v*k**3 + o*k**2 + t*k + p and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 65. Let t be r(0). Suppose -t = -q - 4*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1750 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 84*z**2 - 119*z + 484. Is u(-83) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - k**2 + 8*k - 5. Give b(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -14. Suppose 5 = b*z + 4*r - 7, 3*z + 3*r = 15. Suppose -a = -11 + z. Calculate the remainder when 20 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 + 408 = 57*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(5 - (-85)\/(-10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 45 (b) -3 (c) -1\/9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/18*6\/(-20).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 332. What is the greatest common divisor of 24 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + 5*((sqrt(176) - 1*sqrt(176)) + 1 + 0))*3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/121038918 and -61\/523978.\nAnswer: 121038918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-392)\/(-1 + (-17)\/(-119)). Which is bigger: 457 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -197 - 68741?\nAnswer: -68908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/3 - 830*x**2\/3 + 26208*x + 528768 = 0. What is x?\nAnswer: -17, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5 - 11*c + 23*c + 240*c**2 - 11*c. Let i be y(3). Suppose 0 = j + n - i, -1204 + 7679 = 3*j + 4*n. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1394*f - 1392*f + 2971*f to the form o*f + q and give o.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1020\/(-2890) + (-10 - (-7733)\/187).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 13. Let i be q(8). Let j be 9 - -5*(-35)\/25. Let w(p) = p**j + p - 4*p - 2*p - 2*p + 7. Give w(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 5*q**3\/3 + 213*q**2\/2 + 9*q + 2. Let s be m(-21). Solve 1 + 2 = s*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2*o + 8 = 156*m - 153*m - 7, -5*m + 2*o = -18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - 1.98. Let y = s - -6. Which is the closest to 0? (a) 3\/7 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11031990*j*s**3 + 30207891*j*s**2 - 20*s**3 + 2*s**2 - 3*s wrt s.\nAnswer: -66191940*j - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 690900 and 11280?\nAnswer: 2763600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, n: 6, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Suppose 2*u + 10 = 7*u. Let d(z) = -8*z**u + z**2 + 2*z**2. Determine j(d(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2970375 divided by 7921\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*w**3 + 35*w**3 - 71*w**3.\nAnswer: 31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -783*r**3 - 122*r**2 + 781*r**3 + 122*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -39\/2, 2, -0.5 in decreasing order.\nAnswer: 2, -0.5, -39\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2651142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 140, -1\/65, -20, 1, -4?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*k**2 - 12*k - 568*k**2 + 2091*k**2.\nAnswer: 2005*k**2 - 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - k**3 - 1 - 2*k**3 + 4 - 4 + (2*k**3 + 0*k**3 - k**3)*(-5 - 1 + 4) - 2*k**3 - 13*k**3 - 2*k**3 - 10*k**3 + 12*k**3 + 6*k**3.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**13*j**9)**7\/((j**(6\/7)*j*j)\/j*((j\/j**(1\/2))\/j)\/j)**(-2\/39) assuming j is positive.\nAnswer: j**(43958\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1269503.\nAnswer: 3\/1269503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 27.6. Let w = -3 - c. What is the biggest value in -6, -0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h. Let u = -3 + h. Let r = u + 7. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -30*a - 21. Let l(x) = 61*x + 43. Let i(s) = -7*g(s) - 4*l(s). Is i(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0109707524 rounded to four decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 893772 and 3996.\nAnswer: 2681316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1003, -1931, -2669, -3109, -3143?\n\"Answer: 18*q**3 - 13*q**2 - 1015*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 10. Suppose d + 4*x = 22, c*x - 12 = 5*d - 2. Let f(o) = -d*o + 6 - 3 - 3. Let g(w) = -2*w**2. Calculate g(f(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2987 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - x = -17, 4*y + 23036 = 5*x + 22993 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -190*s + 2618. Determine q(13).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2723853 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: What is 6\/10*10\/(-20)*-5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -3\/2, 3\/5, -28?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -236 + 236.0000508. What is h rounded to six dps?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28771214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1439*g = 1339*g + 200 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 357.\nAnswer: -1\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10\/4*54\/(-27)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 885184.65ms in hours?\nAnswer: 0.245884625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.99485 - 0.00515. Which is the closest to -4\/7? (a) -0.3 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 434280538 to the nearest integer?\nAnswer: 20839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42848.1 + -42848. Let d = -3 - -2. What is the closest to 0.1 in b, d, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 = -2*h - 3*x, x - 3 = -2*h. Suppose 192 = -h*y + 5*y. Factor -y*z**2 + 67*z**2 - 2*z**4 - z**4.\nAnswer: -3*z**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 2\/3, 6543\/47?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2259438 and 753146.\nAnswer: 2259438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k + 3. Let q be w(-2). Let x be q*(-1)\/3*-1. Which is greater: x or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 0*k**4 + 0*k**3 + 0*k**6 + 0*k + 0 + 4*k**2 + 1\/21*k**7 + 1\/15*k**5. What is the third derivative of u(z) wrt z?\nAnswer: 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 96*i - 95*i. Let t(o) be the second derivative of -1\/3*o**3 + 2*o + 0 + 2*o**2. Give t(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 2*h + 1. Let r be m(2). Let y(l) = -l. Let t(f) = -40*f**3 + 10*f**2 + 30*f + 5. Let g(i) = r*t(i) + 5*y(i). Factor g(n).\nAnswer: -5*(n - 1)*(2*n + 1)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5852 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2 + 11*m**2 - 2*m**3 - 9 + 3*m**2. Let s be l(4). Let o be (-1)\/(s\/(56\/12)) + 1. What is the third biggest value in 2\/7, -3\/4, o, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 p when four letters picked without replacement from {d: 3, p: 2, y: 5}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 6c?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(2\/(8\/6)). Let k = i - 3. Suppose -3*n - k = 0, n = -p - 0*n. Solve -b + p = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 794 + -111. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -52. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4, 2*r + 407 = -8*c + 3*c. Let b be (-915656706)\/c - 2\/(-9). Let i = 5904404 - b. What is i rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15815 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10747 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 8 - 8. Solve 2*p - 2 = -t*j + 2*j, 0 = 3*p + 4*j - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17904 - 0.02096. Which is the closest to 1\/2? (a) 21 (b) h (c) 0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1511 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otm when three letters picked without replacement from kkkoojkomtmymkok?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10408 (base 16) to base 8\nAnswer: 202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - f. Let h be m(-1). Solve -3*t - h = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i - 7 - 9*i + i**2 + 577*i**3 + 17*i.\nAnswer: 577*i**3 + i**2 + 22*i - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -20*o - 5. Let y be d(-3). Let m = 91 - y. Calculate the highest common divisor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 663 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = 2*v - 25, -5*v + 78 = 2*b. Solve -2*y - 2*d + v = 3*d, -4*y - 16 = -d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1325\/9 + -147. What is the third biggest value in -3, v, 5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 3 + -2 - 1. Suppose 0 = 4*r - 3*r + l*o - 21, 4*r + o - 128 = 0. Let n = -31 + r. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.9577 - -0.0423. Let s = 33 - 33. Which is the closest to 31? (a) -1 (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 2}. What is prob of sequence bb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158 + 57 + 62)*(2*n**2 + 46 + 4*n**3 - 46).\nAnswer: -156*n**3 - 78*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1207 is divided by 415.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -28*s**7\/3 + 41*s**3\/6 + 3*s - 60. Find the second derivative of r(m) wrt m.\nAnswer: -7840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.9052595 - -2.9051275. Let q = -49 - o. What is q rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.61 + 0.39. Let v = h - 12. Which is the second smallest value? (a) 0 (b) 2\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) 0.1 (c) -0.02 (d) 0.3 (e) 6 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6051\/532 + -17\/399. Let l = -48505\/24 + 2022. What is the common denominator of l and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 19*l**2 - 6*l + 4. Let a(u) = 37*u**2 - 14*u + 9. Determine -4*a(g) + 9*c(g).\nAnswer: 23*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 - 5*v + 10. Let n(a) = a**2 + a - 2. Let x(t) = c(t) + 5*n(t). Let d(s) = 2*s**2 + 19*s - 19*s. Calculate x(d(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*z - 610*z**2 + 1231*z**2 - 606*z**2 to the form h + j*z + q*z**2 and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 4 + 2*p**2 - p**2 + p**3 - 2 to x*p + g + o*p**2 + r*p**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*o - 126 - 50 = 0, -3*h + 3*o + 102 = 0. Suppose 3*b - 5*y - 6 = h, 4*b - 2*y = 74. What is the remainder when b is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*u + 58*u - a = 22, 2*u = -5*a - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**5 + 2*y**5 - 5*y**5 + (y**4 + 5*y**4 - 5*y**4)*(-3*y + 2*y + 3*y) - y**5 - 2*y**5 + 4*y**5 - 1038*y**5 + 70431*y**2 - 70431*y**2.\nAnswer: -1041*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/((-48)\/(-6))*4\/24)\/((-1)\/(-114)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(650))\/(sqrt(8)*6))**2.\nAnswer: 325\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 312.0935ml?\nAnswer: 0.3120935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + 0 + sqrt(12) - (sqrt(132)\/sqrt(275))**2 - (2 + sqrt(192) + -4)**2.\nAnswer: -4912\/25 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o + 2. Let s be y(-1). Sort s, 5, -2 in decreasing order.\nAnswer: s, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5) - (4 + (-31)\/5). Suppose 0 = 4*d + 4*y - 6124, -k*d - 9*y + 8*y = -3066. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, m: 1, h: 1, z: 4, v: 4, t: 2}. What is prob of picking 1 s and 1 h?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*q**4 - 157\/3*q**3 - 1716*q - 12168 + 2078*q**2.\nAnswer: (q - 78)**2*(q - 3)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(219*p**2 + 222*p**2 - 90*p - 442*p**2).\nAnswer: -p**2 - 90*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q + 64. Let f be d(7). Calculate the lowest common multiple of 60 and (-374)\/(-33) - f\/3.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -19 + 24 + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2145359 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/674266 + -4185843295\/7416926. Let j = -466084\/825 - p. Find the common denominator of (-2)\/8 + 46\/56 and j.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + v**2 - 3*v + 50. Is y(0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9750 and 2548974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16467 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*2*3)\/(sqrt(252) - sqrt(252)*-2).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11768 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79 by -844.\nAnswer: 79\/844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -490703408*c**2*y - 128278346*y wrt c?\nAnswer: -981406816*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/8)\/(2\/8). Let w be 6\/(-4)*114\/l. Suppose -3*f - 1 = -w. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 423\/81 + (-4)\/18. Let w(q) = -q**3 + 7*q**2 - 7*q + 1. Give w(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1473, -5, 1\/3 in descending order.\nAnswer: 1\/3, -2\/1473, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 539154 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20145, -161131, -543809, -1289025, -2517625, -4350455, -6908361, -10312189?\nAnswer: -14682785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7115.3628 rounded to the nearest 100?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))**(1\/9)\/(((i\/(i\/((i\/(i\/(i\/(i\/(i\/i**(1\/4)*i)*i*i))*i))\/i)))\/i)\/(i**(-6\/11)\/i*i))*(i**5\/(i*i**7))\/(i\/i**(-5)*i**(-3)) assuming i is positive.\nAnswer: i**(-1217\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcy when three letters picked without replacement from crypppu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2794452\nAnswer: -1\/698613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-4))\/(((-240)\/(-16))\/(-120))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 466 + 17161?\nAnswer: 17627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 111788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2038 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 111932950 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -932\/1255 - -1077036\/179465. Let i = p + -66\/13. Let f = 5.9 - 6.4. What is the third biggest value in f, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5005 and 845.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*p - 10*p - 8, -3*r + 5*p + 32 = 0. Which is the nearest to -14? (a) 1\/3 (b) -2\/11 (c) 3\/4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -598, -649, -704, -763, -826?\n\"Answer: -2*t**2 - 45*t - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 13*g**2 + 11*g + 15. Let t be l(12). Suppose 7*r - t*r + 2*x - 5902 = 0, -4*r + 5896 = -4*x. Suppose 2*u - 7*u + r = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 - g + g)*(-1 - 3 + 6) - 20*g**4 - 30*g**4 + 27*g**4.\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 6)*(23*l + 13*l - 63*l)*(3 - 2 - 3).\nAnswer: -378*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.25685 and 4.\nAnswer: 3.74315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(5\/9)*k)**(1\/11))**7)**(-20) assuming k is positive.\nAnswer: k**(-1960\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 8821 - 8821 - 528*x as o*x + a and give o.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p + 18. Let b be k(-15). What is the remainder when (b\/(12\/(-4)))\/(-1) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srrr when four letters picked without replacement from {s: 1, e: 13, r: 3}.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 706969 to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.022916084132 and 5.\nAnswer: 5.022916084132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -3270637 times 3\nAnswer: -9811911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*1\/(-12))\/(1408\/(-7392)*2\/32).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 - 48*v**2 - 115*v - 595. Give b(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12760 + 12760.021146. What is m rounded to three decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9. Let q(x) = x - 10. Let g(j) = 3*q(j) + 4*z(j). Let f be g(-2). Solve f = 3*i - 1 - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijixixzixiu. What is prob of sequence izxj?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.748 and -278183.\nAnswer: -486263.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/2 (b) -9\/2 (c) 2\/7 (d) 35\/3 (e) -0.057\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 8*j**2 + j - 9. Calculate n(7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 0*v**4 + 2*v**2 - 4 + 0*v**5 + 0*v**3 + 0*v + 1\/2*v**6. What is the second derivative of u(r) wrt r?\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60a115c4 + -4?\nAnswer: -60a115c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(480)*-3)\/(2*(sqrt(90) + sqrt(10))))**2.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -44. Let i(v) = -v**2 - v + 1. Let l(c) = -2*c**2 - 5*c - 13. Let x(y) = 3*i(y) - l(y). Is 16 a factor of x(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 34539 = 3*v + 2300, 0 = 5*m + v - 80565. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 425 - 269. Let f = w + -156.1. What is the closest to -0.24 in 2\/5, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 448*f - 838*f + 390*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 3:32 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23579 = -759*f - 13376 + 33060 for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 969669, 5, -5 in increasing order.\nAnswer: -25, -5, 5, 969669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100 - 1112110?\nAnswer: -1200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -38. Round x to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36362658 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 4:10 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 14, -2, 86, 1 in ascending order.\nAnswer: -26, -2, 1, 14, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*t**4*y**2 + 9*t**4*y - 4*t - 208*y**2 wrt t.\nAnswer: -264*t**2*y**2 + 108*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23114\/3 + -7705. What is the closest to 1 in 0.19, i, -0.09?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 20*c**2. Let t(i) = -21*i**2 + 8*i**2 + 66*i**2 + 39*i**2. What is t(r(b))?\nAnswer: 36800*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1\/4 (c) 5 (d) 27 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14285 + 13065.6. Round d to the nearest ten.\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1474 + -1475. Sort 11, 3, b, 1 in increasing order.\nAnswer: b, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-38)\/6 + 184 + -178)\/(10\/(-6)). Which is the third smallest value? (a) 0.3 (b) i (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*h**3 + 144*h**3 + 164*h**3 + 70*h**3.\nAnswer: 636*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 7:18 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -282296 greater than -282337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(468))**2 + -4.\nAnswer: -24*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 531 and 8271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/181131 and -13\/60377.\nAnswer: 181131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/3, 0.2 in decreasing order.\nAnswer: 1\/3, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2247 = -166*a - 19 + 1092 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 9 + 1\/2*l - 1\/12*l**3 - 1\/8*l**2. Factor g(a).\nAnswer: -(a - 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/6, 39, 4\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b + 233. Let h be c(-38). Solve -11*r = -6*r - h*a + 5, 15 = 3*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaugu. Give prob of picking 1 q and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-5)*(-10)\/(-4). What is the common denominator of (111\/(-18))\/((-7)\/m) and ((-4662)\/(-112))\/(-37) - (1 - 1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 69. Determine o(21).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 590152 < 590152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (1 - -37 - (124 + -109))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 2*o**2 + 2*o. Let b(i) = -i**2 + 38. Let w be b(6). Let g(q) = q**3 + q**2 - q. Calculate w*x(f) + 4*g(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + 2905862.9.\nAnswer: 2905895.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - 1*sqrt(65) - sqrt(65))*-4)\/((sqrt(45)*2 - sqrt(45))\/sqrt(9)) + -1 + (0 + sqrt(26)\/sqrt(2) + 4 + sqrt(117)*1)*4.\nAnswer: 15 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 0*h**3 + 0*h**3)*(h - 3*h + 3*h) - 12*h**4 + 2*h**4 + 6*h**4 + (5*h**3 - 2*h**3 - 5*h**3)*(-5*h + 3*h + h).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 16*c**2 - 40*c + 376. Let u be v(15). What is the closest to u in 5, -0.5, -1\/133, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32.64 and 71672.\nAnswer: 71704.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3213.285 microseconds to seconds.\nAnswer: 0.003213285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1 - 2. Let l(t) = t**3 - 3*t**2 - 3*t + 4. Let o be l(3). Let i be -6 + 412\/26 + -10. Which is the third smallest value? (a) i (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 304\/72 - 2\/9. Suppose -l*m - 4 = 0, 3*z - 3*m = -0*z + 24. Solve 2 - z = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-14))\/((g\/((g\/g**(14\/13)*g*g)\/g))\/g)*(g**34)**(-1\/74) assuming g is positive.\nAnswer: g**(-6030\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46092 or -46047?\nAnswer: -46092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y. Let n be o(-1). Suppose n*z + 2*g - 48 = 0, -z + 5*z - 4*g = 64. Suppose -4*q - z = -2*l, 8*q - 3*q = 5*l - 40. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 159*c + 7452. Determine u(-47).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -226 (b) 3\/4 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 5*y - 4*y)*((5 - 4 - 2)*(4 - 1 - 8) - 5 - 1 + 5 + (0 + 4 - 2)*(-5 + 3 + 3)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33, 65, 117, 189?\n\"Answer: 10*b**2 + 2*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 0*g**2 + 6*g**2)*(0 + 4 - 2)*(-11 + 5 + 8).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -52\/7. Let q = -20032 - -20029. Let l be ((-18)\/(-24))\/1 + (-14)\/8. What is the closest to l in q, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 7:20 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p + 2*p)*(-p**2 - p + p)*(3 - 6 + 2)*(3*p - 2*p - 5*p).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4632653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6.6. Let g = b + -4.91. Let x = g + -0.09. Round x to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -517*g**6\/12 - g**5\/30 - 22*g**4\/3 + 7*g**3\/6 + 12*g**2 + 113*g. What is the third derivative of l(o) wrt o?\nAnswer: -31020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -107798 and -0.8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 517 + 317772713496.\nAnswer: 317772714013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00664352 rounded to five dps?\nAnswer: 0.00664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 683686 - 683656.0019. Let l = 30 - t. What is l rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13904 - 7310. Suppose -9*t + g + 309 = 0. What are the prime factors of t?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*g - 22*g + 33*g.\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0344 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -3, 2.51, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37841 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -2924762 and -2924743 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, -35\/2, 5, 0.4, 42?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 - 84*f + 53. Determine l(8).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 times -965240\nAnswer: 1737432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**3\/6 + h. Let i(r) = 4*r + 3*r - 4*r. Calculate i(s(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16611 divided by -91.\nAnswer: -2373\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -0.1 (c) 3 (d) -2 (e) 4484\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w - 2. Determine r(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -1, -59, -27, 3349 in increasing order.\nAnswer: -59, -27, -4, -1, 5, 3349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/13 + 1642*h\/13 + 3292\/13 = 0. What is h?\nAnswer: -2, 823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1547194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -54. Let x(q) = -2*q + 1432. Calculate 10*m(i) + x(i).\nAnswer: -2*i + 892","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 7:59 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 2 - i - i**2 - 3. Let a be q(-4). Let d = 51\/4 + a. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 268 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -f - 21, 3*z = -f - 2*f + 81. Let x = z + -6. Calculate the greatest common factor of x and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 31*a + 168. Solve 5*d = 8*d - a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 10:24 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -145629513942 - 14\nAnswer: -145629513956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -12630\/941?\nAnswer: -12630\/941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -24. Let w = 14.5 + -16. Let q = w - -0.5. Which is greater: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157155933?\nAnswer: 3, 11, 73, 89, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -0.5, 0.1, 2.09?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 2*j + 402. Let u be g(0). Suppose 4*b - 1014 = -u. Calculate the highest common divisor of 85 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 22 = 5*g, -i - 7 = 5*g - 26 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*i - 18, -6 = -3*l - 5*i + 49. What is the tens digit of (-10)\/l*(-779 + 2 + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 5*b + 15. Suppose 2*r = 3*i + 22, 0 = 4*r - 2*r + 2*i - 22. What is the remainder when r is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 66*z**2 - 20*z - 3031. Calculate l(67).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 19, z: 1}. Give prob of sequence fffz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5 - 6\/5*n + 3\/5*n**2.\nAnswer: 3*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u**2 + 29*u + 450. Determine x(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n = 24. Let z be (-5)\/(10\/4) - n. Let t = z - 4. Which is the third biggest value? (a) -5\/6 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 123\/12 - 3\/12. Let y = -6 + q. Suppose y*a = -2*r + 32, -3 = a - 3*r + 3. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1 - 6 + 2*m + 1 - 1. Let y be b(5). What is the derivative of 4*g**3 + 4 - 2*g**3 - y*g**3 wrt g?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(u + 2*u - 4*u) + (2*u + 0*u + 0*u)*(-1 - 3 + 7) - u + u + u to r + f*u and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3, -5 = -5*f - 3*u - 2*u. Suppose -f*c = 3*z - 18, c - z = 5*c - 14. Suppose c*l = l + 56. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189 (base 16) to base 15\nAnswer: -1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624*p - 20720 = 610*p. Does 36 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73210 and 2214.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 - 8 = 0. Suppose -8 = -5*j + k, 3*j - 4*k = j + h. Is (-17*j)\/((-4)\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 0*r + 0*r)*((-1 + 0 - 1)*(-3*r + 5*r - r) + 2*r + 0*r + 8*r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21602 + 7028. Round j to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 4*v - 4*v + 3*v**2 + (3 + 0 - 4)*(-3 + v**2 + 3).\nAnswer: 2*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1270192 (base 10) in base 5?\nAnswer: -311121232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 32*u**3 + 3*u**2 + 5*u. Let m(p) = 30*p**3 + 4*p**2 + 6*p. Give -3*m(l) + 4*n(l).\nAnswer: 38*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-35) + 2\/(-7). Let p = -435 - -434.7. Let s = -6 + 4. Which is the biggest value? (a) s (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 1. Let d(c) = 56*c + 28. Let n(h) = 73*h + 38. Let z(s) = 4*d(s) - 3*n(s). What is 7*u(o) + 3*z(o)?\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o. Suppose 0 = 11*y - 17*y + 516. Let z(b) = 12*b - 25*b - 38*b - y*b - 15*b. Give i(z(h)).\nAnswer: 304*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {e: 1, c: 2, s: 2, m: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137.2 + -135. Which is the nearest to 0? (a) q (b) 3 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -15 + 32 + 2*o - 15. Let u be y(0). Suppose -u*n - n + 48 = 0. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 3*g - 4*g)*(-1 + 1 - 2*g) - 1 - 4*g**2 - 14482*g + 6*g**2 + 14513*g.\nAnswer: 4*g**2 + 31*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88*n - 81*n - 30 + 171*n + 23*n**2 with respect to n.\nAnswer: 46*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570930982 to the power of 1\/2, to the nearest integer?\nAnswer: 23894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 173897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a century?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 3*m**2 - 4*m - 5. Let x be a(4). Suppose 93 = -15*b - 16*b. Let v = 9 + -9.1. What is the closest to 0.3 in b, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7843\/2198 + -78\/157. Calculate the common denominator of 54\/11 and g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 7911?\nAnswer: 7911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-279)\/62*2\/1 - -9164 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25659600 and 16?\nAnswer: 25659600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 222*x + 4. Let z(k) = 365*k + 7. Determine -8*c(s) + 5*z(s).\nAnswer: 49*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7136.29723 + -7136. What is l rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13990 = 5*x - 5*a, -x - 2*a + 14004 = 4*x. Suppose 572 = 4*c - x. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 - -14 - (-39 - ((-38 - -14) + 5))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -562, -1122, -1682, -2242, -2802, -3362?\n\"Answer: -560*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10380 + -4753. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(19) + -4 - (sqrt(1539) + 0 - sqrt(1539)))**2.\nAnswer: -10*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 0.1, 1, 4, -25, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhllhh. What is prob of picking 3 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 8076897 and 0.06.\nAnswer: 8076897.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 6)*(70*z**2 - 16*z**2 + 70*z**2).\nAnswer: -372*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x + 22. Let o be l(-4). Suppose -4*g - 58 = -3*w + 38, 0 = 2*g + o. Is 28 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(28\/16) + 140. What is the greatest common factor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - ((-4)\/2 - -2). Suppose -4*w - 2*f + 437 + 1697 = t, 0 = -w - 5*f + 547. Suppose -6*c = -2*c - w. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6817*w - 1772432. What is h(260)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 22. Suppose 3*k - 7*a = -2*a - 13, 0 = -5*a + y. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 119*a + 131*a - 30 = 255*a, 3*a - 5*a = 3*x + 23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 45*i**2. Let p(d) = 329*d. Determine y(p(u)).\nAnswer: 4870845*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 245453 (base 6) in base 10?\nAnswer: 21993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4362 - -3.9498. Round w to one dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5306\/5 + 117077\/110. Calculate the common denominator of w and -101\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3291, 6573, 9857, 13143?\n\"Answer: l**2 + 3279*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 39. Let a be n(-18). Let m(d) = 14*d + 47. Calculate the smallest common multiple of m(a) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - -10 - (-13 + (23 - 5017)) a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -1\/3*s**4 + 0 + 1\/56*s**8 + 0*s**5 - s + 0*s**3 + 0*s**2 + 0*s**6 + 0*s**7. Find the third derivative of l(i) wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304 + -398 + (-5 - -5 - -1).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*q - 4, 5*n = -2*q + 7*q + 5. Let v(w) = -10*w**3 + 2*w + 1. Let x be v(q). Solve 3 = -j, x = 5*c + 2*j - 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 0 + 3 + 2 + 0 + 12*n**2 - 10*n. Is s(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 8)*(2*l**2 - 2*l + 3*l - l**2).\nAnswer: -6*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3428*c - 740445. Give w(216).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from {g: 2, b: 1, z: 4, t: 10}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5, -4, -1 in ascending order.\nAnswer: -5, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(242)*-2)**2 + (3 + sqrt(242)*1)**2 + -5.\nAnswer: 66*sqrt(2) + 4113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 1130155?\nAnswer: 678093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -3\/6477151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/(-30) + 6\/15. Suppose 50 - 48 = -x*r. Does -1\/128 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*w + 7. Suppose -w*t - 26 = 4. What is the units digit of (-16)\/t*(7 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(12\/(-272236)))\/((-370)\/30 - -12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75971464 to the nearest integer?\nAnswer: 8716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1778212 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3813, 3870, 3979, 4152, 4401, 4738, 5175?\n\"Answer: 2*p**3 + 14*p**2 + p + 3796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2327611 divided by 7\nAnswer: -2327611\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = 4*b - 34, -5*b = 2*i - 15. Let u(o) = -o**3 - 29*o**2 - 64*o - 848. Let v be u(-28). Calculate the greatest common factor of i and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -96.44. Let m = -0.44 - t. Which is the nearest to m? (a) 1 (b) -2\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -2*y**2 - 21*y + 44. Let o be 1 - (-3)\/(-12)*4. Let l be f(o). Put -5, 0, l in descending order.\nAnswer: 0, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82.33 + -83.33. Which is the nearest to r? (a) 0 (b) -4\/17 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 213885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 163*k + 47. What are the prime factors of y(17)?\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36572 and 293984022.\nAnswer: 587968044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2. Suppose 0 = 2*c - 4*u - 52, 0 = c + u + 3 - 23. Let x be ((-33)\/c)\/((-1)\/2). Let k(q) = 5*q - x*q - 11*q. What is a(k(d))?\nAnswer: -162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1234 or 0.6?\nAnswer: -1234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17577 by -651.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1886 - 1886. Let x(j) be the second derivative of 0*j**3 + n + 0*j**4 + 7\/10*j**5 + 6*j + 7\/2*j**2. Find the first derivative of x(o) wrt o.\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -48 + 2 + (2 - 31)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3587?\nAnswer: 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44.6483 and -2.\nAnswer: -89.2966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -97, -157, -231, -313, -397?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**2. Let r(g) = 50336747*g. Give r(f(j)).\nAnswer: -302020482*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(-2*sqrt(1008) + 2 + 3) - ((-1 + sqrt(1008))*-3 + (sqrt(1008) - -2*sqrt(1008)*-2)))**2.\nAnswer: -7728*sqrt(7) + 198101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7125)\/(-300))\/((-40)\/(-32))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129867?\nAnswer: 3, 73, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 2*s - s)*(4*s - s - 2*s) + (-790 + 46*s + 790)*(6 - 6 + s).\nAnswer: 40*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*l - 8, f - 3*l = -0*f - 8. Let a = -6 + 10. Determine g, given that -g**f + 13*g**3 + 4*g - 2*g**4 + 0*g**a + g**5 - 12*g**2 - 3*g**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 + 337 - 32*t + 31*t + 7*t**2 - 13*t**2 to the form i*t**2 + r + z*t and give r.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5184788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from {p: 1, f: 1, h: 2, q: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**3 + 92*o**2 - 10*o + 4. Let q(s) = s**3 + 2*s**2 + 3*s + 1. Let c(i) = b(i) + 5*q(i). What is the second derivative of c(r) wrt r?\nAnswer: 78*r + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10590.\nAnswer: 2, 3, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 7.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -245?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 45.4. Let w = -3 - -19. Which is the closest to w? (a) 3 (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.5430665ns to days.\nAnswer: 0.00000000000029563734375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1117.539 - -1118. Let a = -0.243 - n. What is a rounded to two decimal places?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -787732\nAnswer: -3\/787732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93.9 - -93.5. What is the second smallest value in 3\/5, 2, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1960)\/sqrt(8) - sqrt(5)).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/195*-45*215\/129\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195194?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -15\/16, -0.2, -1, -3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2137*g + 15509. Is j(-56) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + -113 + 57 + 62.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1299556 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.2 + 63. Let j = w + -69. Let m = -62\/5 - -424\/35. Which is the nearest to m? (a) 5 (b) j (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17011834?\nAnswer: 2, 7, 53, 101, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 120*w - 3540. Calculate u(68).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 38 = 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpbn when four letters picked without replacement from {c: 2, m: 4, p: 2, n: 2, b: 4}.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*b, 9*l - 14 = 6*l + 2*b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 179*a - 17. Let v(l) = -3*l + 6. Calculate -p(x) - 2*v(x).\nAnswer: -173*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.256.\nAnswer: -0.1024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h - 5. Let a(f) be the first derivative of 3*f**2\/2 + 2*f - 26. Let c(u) = -15*a(u) - 6*p(u). Let z(q) = -24*q. What is z(c(s))?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*c = 23, -a + 4*a + 24 = 3*c. What is the nearest to -1\/5 in 0.5, a, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4275)\/(-3) - -3 - 4. Let t = l - 9944\/7. Let g = -109\/4 + 27. Find the common denominator of g and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2))**(2\/3)\/(z**(-4))**17 assuming z is positive.\nAnswer: z**(200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 287 = 438. Suppose c = 5*m + 35. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-291 - -290) + -8 + 1 + (111 - 6 - 6)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424 = 2*l - 2818. What is the common denominator of 55\/18 and 6\/(-9)*l\/(-224)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1059 divided by -3\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 77*x**2 - 16*x - 75. List the prime factors of b(-5).\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 8*u - 17. Let p be a(6). Sort -1, p, -2 in ascending order.\nAnswer: p, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/35877 and 15\/4.\nAnswer: 143508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-876)\/(-54) - (-4)\/(-18). Let a = -11 + f. Solve a = -6*q + q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 + -116.8. Sort -0.2, s, -5\/4 in descending order.\nAnswer: s, -0.2, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + b**2 + 158. Is x(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2. Let a(c) = 11 + 16 - 29 - 3*c**2 + 2*c. Let t(p) = 3*p**2 - 3*p + 3. Let d(v) = 3*a(v) + 2*t(v). Calculate r(d(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 1.6. Let s = x + 0.3. Let z = s + 1. Which is the third smallest value? (a) 11 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 766, 3076, 6920, 12292, 19186, 27596?\n\"Answer: -g**3 + 773*g**2 - 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (2 + -13 - -12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 8*r + 7*r - 249 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhr when three letters picked without replacement from httrh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608717?\nAnswer: 191, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 560*o - 15569 wrt o?\nAnswer: 560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1622\/22425?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 67 = -b, 4*h - 3420*b = -3458*b - 30 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 2166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.5, 1, -2\/17, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3*p - 373096*b**2*p**2 - 22*b*p**2 + 65*b*p - b - p**2 - 4*p wrt b.\nAnswer: -18*b*p - 746192*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -9, 0 in descending order.\nAnswer: 15, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 3*c**4\/8 - 79*c**2. Let u(d) = -d**2 + 3. Let k(w) = 1. Let g(m) = -15*k(m) + 5*u(m). What is j(g(y))?\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39)\/91 + 10\/7. Let a be 12\/((1 + 1)*q). Let l be (4 - 5) + a + -3. Solve 0 = -4*o + v - 14, 0*o - l*v = 3*o + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 2291186?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22165 - 7582 - 7017 = -1063*b - 20072 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1937261 or -6\/13?\nAnswer: -1937261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 11:49 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357 at least as big as 1444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 46344 - -13281. List the prime factors of d.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11128189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-40)\/(-5))\/4)\/(-2). Let o(j) be the first derivative of -16*j**2 - j - 2. Let c be o(d). Solve -5*m + 4*l = -0*l - c, -20 = 5*l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*b - 887, -u + 4515 = 4*u + 4*b. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 9*g**2 - 10*g + 1. Give q(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -1\/20*x**5 - 1\/3*x**3 + 0 + 3*x + 13\/2*x**2 + 11\/12*x**4. Is n(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 x when three letters picked without replacement from itsszxw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8067, -8064, -8057, -8046?\n\"Answer: 2*l**2 - 3*l - 8066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 552*d + 1. Is n(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12239 greater than or equal to 12252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 536638, 2146537, 4829704, 8586139, 13415842, 19318813?\nAnswer: 26295052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 + 9*o - 49. Let u(r) = -5*r**2 + 11*r - 49. What is -2*u(n) + 3*y(n)?\nAnswer: -2*n**2 + 5*n - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*u - 423 = -2*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3031 + -3031.0349. Round b to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010101100111011010 (base 2) to base 14\nAnswer: -11d494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96081 is divided by 153.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 102. Let i = -121\/3 - b. Let j = 1.1 - 0.8. Which is bigger: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-3 - (-20)\/8) + 260. Suppose -5*m - i - 490 = 0, -2*i = i. Let f = m + v. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/97 - -204\/485. Let v = 66\/91 + -4\/7. Which is the second smallest value? (a) t (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - 5*c + 3*c + (-4*c + 4*c - 5*c)*(42 - 84 + 311) + 1 - 1 + 2*c + (-2 - 2 + 2)*(c - 4*c + 5*c) + 0 + 0 - c to v + t*c and give t.\nAnswer: -1353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (376\/235)\/(324\/(-90)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8\/30)\/(34\/(-85))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 642 + -366. Let r = b + -275.999525. What is r rounded to five dps?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 33 = 3*h. Let p = -153 + 175. Calculate the highest common factor of h and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-5 - (-21 - 3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 + 10*z - 5728. Give h(42).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 133.2, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 311, -22 in descending order.\nAnswer: 311, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -9\/98494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jzccccccjjccjzj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = q. Find the third derivative of f**q + 3*f**4 - 2*f**4 + 3*f**2 wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2. Let z(o) = -9001*o**2. Give z(g(h)).\nAnswer: -36004*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 47166*p + 7960420.\nAnswer: 2*(p - 23413)*(p - 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 26*u**2 - 10*u + 6. Let g(p) = 4*p**2 + p + 1. Let t(h) = 6*g(h) - z(h). Factor t(y).\nAnswer: -2*y*(y - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122320 is divided by 116307.\nAnswer: 6013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 11:58 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w**3 + 21*w**3 - 16*w**3 + 10*w**3.\nAnswer: 42*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a + 34 = -356 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 2*t - 4. Let q(c) be the third derivative of -4*c**2 - 2\/15*c**5 + 0*c - 1\/2*c**3 - 1\/120*c**6 - 1\/2*c**4 + 0. Let d be q(-6). What is o(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*m - 22*m + 770 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -2*(-2)\/(-4). Let u(h) = 3*h**2 + 1 + w + 5*h - 2*h**2. What are the prime factors of u(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 4*n**2 - n - 4. Let v be 20 + 4 + -9 - 2. Suppose -1 + v = -4*c. Give t(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 3*r**2 - 1. Let q(u) = -2*u**3 - 3*u**2 - 2*u - 28. Give q(w) - z(w).\nAnswer: -3*w**3 - 2*w - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w. Let z(y) = -5*y - 3. Let a(f) = 3*q(f) - z(f). Let m be a(-3). Let t(r) = r**3 + 5*r**2 + 2. Let b be t(-5). Sort m, b, 5 in decreasing order.\nAnswer: 5, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*v - 14, 2*v - 4 = 4*a - 0*v. Let d = a + 5. Solve d = -r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2. Let h(u) = -21*u + 2. Let d(f) = -104*f + 11. Let q(p) = -2*d(p) + 11*h(p). Determine j(q(w)).\nAnswer: -1058*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 186*a**3 - 56*a**2 + 103069 wrt a.\nAnswer: 558*a**2 - 112*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 5*l + 2. Let c(a) = -a**2 + a - 1. Let f(q) = -2*c(q) - g(q). Let r(y) = 2*y**2 - 6*y. Give -4*f(s) + 5*r(s).\nAnswer: -2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*m - 6*m - 4*m + 11*m to the form o + i*m and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 4*m - 3. Suppose -4*p = w - 6*w - 58, 0 = -2*w + 3*p - 26. Let t be 24\/w + 4\/10. Calculate a(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 74*r**2 - 14*r + 7253. What is the remainder when a(-75) is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 964 + 1033 = -89*z + 751 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 124*s + 2062. Determine h(-139).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.2 - -15.075. Let d = 4.125 + b. Suppose 4*q + h + 29 = 0, 4*h = 2*q + 2*h + 2. What is the nearest to q in 2\/3, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-69 - 16948\/(-228)) + (1 - 2) + -5. Which is smaller: x or -6913?\nAnswer: -6913","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 154e74 + 0?\nAnswer: 154e74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**4\/12 - 40*w**2. Let k(x) = 2*x. Calculate -2*i(r) + 3*k(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1830655.\nAnswer: 5, 109, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-2 + (4 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**4 + 2*p**3 + 90*p**2 + 156*p + 72. Let v(q) = 17*q**4 - 6*q**3 - 360*q**2 - 625*q - 288. Let d(h) = 2*v(h) + 9*x(h). Factor d(w).\nAnswer: -2*(w - 9)*(w + 1)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141 - 137 - (-1 - -15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -60.981. Let u = -0.019 - q. Let r = u - 0.00099. What is r rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92329*m**4*o - 82*m**3*o**3 - 1386*o**3 + 138*o**2 + 1 wrt m.\nAnswer: 369316*m**3*o - 246*m**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 7 = -3*z, 0 = -4*x + 6*x - 2*z - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2058*h*j**2 - h*j*z + 4*h*j + h*z + 99*h - j**2*z + 1349*j**2 + 16*j*z + 3*j - 29*z wrt h.\nAnswer: 2058*j**2 - j*z + 4*j + z + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 491837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.4, 3798\/13, 3.2?\nAnswer: 3798\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 8. Let u be a(7). Let s(r) = -r**3 + 8*r**2 - 6*r + 4. Is 20 a factor of s(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2 + -2 + 5 + (-42 - -52)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 117766, 471067, 1059908, 1884295, 2944234?\n\"Answer: g**3 + 117764*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 + -3)\/((8\/6)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a9d (base 16) to base 10\nAnswer: 10909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -29, -3, -158 in descending order.\nAnswer: -3, -12, -29, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144.3 + -144. Let h = -6 - -7. Let w = 1 + -1. Which is the closest to 1? (a) l (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 4*n**5\/5 - 21*n**3\/2 + 14*n**2. What is the derivative of b(t) wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 32470.29ml?\nAnswer: 32.47029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 44, 192, 484, 968, 1692?\nAnswer: 2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/922307?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -n + 154. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*l**3 + 30*l**2 - 17*l**2 + 4 + 12*l**3 - 20*l**2 - 2*l + 0 to d*l**3 + u + g*l**2 + m*l and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, t: 9}. Give prob of sequence rttr.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {m: 7, y: 7, p: 2}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1502778519 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18551 + 18555. What is the fourth smallest value in 3, -4, 4\/3, -13, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6383.06 - 6383. What is the third biggest value in -4, -13, k, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 920*z + 1. Let y(c) = 2*c. Determine l(y(q)).\nAnswer: -8*q**2 - 1840*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3, -0.1, -1009?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {b: 1, u: 1, z: 1, c: 2, n: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113305, -226191, -339077, -451963, -564849, -677735?\nAnswer: -790621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from rliihvrhhilhshh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from owwwwofoowwwofoowwo?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -b1 (base 13) to base 10\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/7 - 1850*c**2\/7 + 27268*c\/7 + 4160 = 0. Calculate c.\nAnswer: -1, 16, 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 543, 1.\nAnswer: -4, 1, 543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + sqrt(175)))**2.\nAnswer: -180*sqrt(7) + 1611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8634, 8512, 8388, 8262, 8134?\nAnswer: 8004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 23*p**2 - 358*p - 8242. Determine f(-23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Let i = 29 - 24. Let o = x + i. Calculate the greatest common factor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 21*c**3 - 8*c**2 - 11*c + 117. Let u(z) = -5*z**3 + 3*z**2 + 4*z - 39. What is 3*b(w) + 8*u(w)?\nAnswer: 23*w**3 - w + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 858658 = 2*t, -3*t = -4*z - 779800 - 508183. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 17*q**2 - 2*q. What is the remainder when f(1) is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305, 319, 343, 377, 421?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4 + sqrt(108) - sqrt(108))*-2 + sqrt(108) - (sqrt(108)*-2 + -3 + -2))**2.\nAnswer: 648*sqrt(3) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = q - 42, -3*q + 5*k - 9*k = -121. Suppose -q - 6 = -9*f. Solve 25 = v + f*u, 0*u = -5*v - 2*u + 33 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1678 and 0.215?\nAnswer: -360.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-1 + (-143)\/22)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55015164 is divided by 1664?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*d - 13. Let k(r) = -3*r + 19. What is the units digit of k(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbqmm. What is prob of picking 1 b, 1 q, and 1 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2*y + 233*g**2 + 2*g*y + 7*g - 43*y + 76 with respect to g.\nAnswer: -4*g*y + 466*g + 2*y + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i = 13*i + 1296. Calculate the remainder when 334 is divided by i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54817615 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0.9. Which is the closest to 0.1? (a) 0.5 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 44207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 1 + 2 - 2*k)*(-28*k**2 + 28*k**2 - 141*k**4).\nAnswer: -423*k**5 - 141*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25090.6 and -5?\nAnswer: 25095.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/6 and 57\/1315.\nAnswer: 7890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29\/2? (a) -2\/17 (b) 15 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 7:10 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(11) - (-1*sqrt(11) - sqrt(11))) - sqrt(20)\/(sqrt(4)*-2).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -24. Let m = f - -1. Suppose -168 = -4*o + 3*d, -m*o = 3*o + d - 210. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63809943*a*p**2 + 6454*a*p + 6*a + 86*p wrt p.\nAnswer: 127619886*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 848800 rounded to the nearest ten thousand?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 13*u + 41. Calculate s(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 3 + 3 + 6 - 13. What is p(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128.989 - 129. Let z = w - 0.169. Which is bigger: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -21*v**3 + 2*v**2 - 2*v - 35. Suppose w = -6*w + 35. Let g(q) = -43*q**3 + 5*q**2 - 5*q - 71. Let t(s) = w*n(s) - 2*g(s). Differentiate t(b) wrt b.\nAnswer: -57*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 23134?\nAnswer: 23136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 2 - 5*w**3 + 3*w**3 + 96*w**2 - 12.\nAnswer: -2*w**3 + 96*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73894048 by -9236756.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 1, h: 2, x: 1, n: 1, f: 5}. Give prob of picking 1 e, 1 n, and 1 x.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.05 - 71.95. Let o = 76.000765 + c. Round o to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -v + 17, 5 + 18 = 3*v - w. What is the smallest common multiple of v and 25?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782737?\nAnswer: 439, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(9\/2))**(-15\/4)\/(c**(-5\/7)*c*c*c*c**(-1\/3)*c*c) assuming c is positive.\nAnswer: c**(-3499\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1015637 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -2\/3*q**3 - 7*q**2 + 0*q - 1\/120*q**6 - 1\/60*q**5 - 1\/6*q**4 + 0. What are the prime factors of o(-3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29980340 is divided by 389355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -111876686, -223753369, -335630054, -447506741, -559383430?\n\"Answer: -o**2 - 111876680*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 20, -2, -16, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11.2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3103, -3096, -3089, -3082, -3075, -3068?\nAnswer: -3061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 5*m**2 + m + 7. Calculate f(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107 + -103. Suppose -r = q, 11*q + 3560 = 4*g + 10*q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 0 (c) -3 (d) -17 (e) 3\/5 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -32*d**2 + 33*d. Let s(x) = 32*x**2 - 34*x. Let u(j) = 2*s(j) + 3*t(j). What is the second derivative of u(g) wrt g?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59308, 59309, 59310?\n\"Answer: q + 59307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.61 - 1618512.\nAnswer: -1618538.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24953124?\nAnswer: 2, 3, 7, 297061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.5. Let t = -26116 - -26116. What is the second biggest value in -5, n, t, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*f + 9 = 126*f. Find the third derivative of -36422*d**f - 114*d**4 + 36422*d**3 - 96*d**2 wrt d.\nAnswer: -2736*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -315644 (base 10) in base 15?\nAnswer: -637ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -5. Which is the biggest value? (a) s (b) 0.04 (c) -1\/2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.082 times -1585\nAnswer: -129.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-10)*(-20)\/4. Suppose -17*c - 9*c = -a*c. Solve -2*r - 4 + 4 = c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4243340 (base 9) to base 15\nAnswer: 2ed54c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 278012 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 (base 8) in base 9?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8595 = 6397. Suppose -4*n + i = 4*s, -n = -2*n. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 - 11. Let o(f) = -f**2 - 11*f - 7. Let x be o(-11). Is b(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13691377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -709219, -1418551, -2127883, -2837215?\nAnswer: -3546547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -15. Let o = v - -17. Solve -o*s = -26 + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhhh when four letters picked without replacement from hhbhhhbbbbbbh?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365*r + 6441 = -4093 + 1409. What is the highest common divisor of 695 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 r, and 1 b when four letters picked without replacement from bjbrcrbrrrrbrrj.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 2*f - 4*f**2 + 3*f**2 to the form a*f + v*f**2 + l and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29, -52, -63, -56, -25, 36, 133?\n\"Answer: l**3 - 30*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -604 + 603.9998345. What is s rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(3\/4))\/f)\/(f*f**(-2\/3)\/f*f*f))\/(f*f\/((f\/(f*(f\/(f*f*f**9))\/f))\/f*f))**(-10\/7) assuming f is positive.\nAnswer: f**(-1255\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 20*f**2 - 10*f - 150. Let v be i(19). Solve 0 = v*u - 27*u + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439185038?\nAnswer: 2, 17, 19, 83, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 45675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + r + 30. Calculate the remainder when b(0) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(2)*1*1 + -2*(-1 + sqrt(2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1729 = -17*k + 1042. Let m = -156 + k. Solve -2 - 33 = m*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 - 87. Let y be 4\/w + 18\/81. Suppose 0*a + 4*a - 32 = y. What is the lowest common multiple of a and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*n - 11, -v + 0*v + n = -13. Let m(f) = -f**3 + 15*f**2 - 15*f + 19. Let s be m(v). Solve 0 = -h - 3*k + 14, k + 3*k = s*h - 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 370483965?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 30. What are the prime factors of u(0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 1778216.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/10*20\/6. Let z = -266 - -268. Let m(n) = -n**2 + 0*n - n**3 + 5*n - o*n + z*n**3 + 2. Give m(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 22 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 1, k: 2, s: 1, b: 2}. Give prob of sequence db.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 336, -2\/11, 4\/9, -3484, -1 in decreasing order.\nAnswer: 336, 4\/9, -2\/11, -1, -3484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 104 = 489. What is the first derivative of c - 40 + 36 + 7 + 67 + 13*s**3 + 2*s wrt s?\nAnswer: 39*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*109336.\nAnswer: 120269.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -351799 + 6?\nAnswer: -351793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*4*(sqrt(104) - sqrt(104)*-1))\/((2*sqrt(8)*-2 - sqrt(8) - sqrt(8)) + sqrt(96)\/(sqrt(12)*-1)))**2.\nAnswer: -240*sqrt(13)\/7 + 8713\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 39. Let q be u(15). Is 24 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*l - 36*l + 83 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -401.652 - -402. Let h = -2.652 - y. Which is the third biggest value? (a) 68 (b) h (c) 2\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58 and 8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15271716 a multiple of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*x = -1 + 3, -5*x = 0. Solve 2*l - 4*j = 0, -2*l + 2*j + 3*j = u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3246000 to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8.152, -10\/7 in ascending order.\nAnswer: -10\/7, 2, 8.152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -135 and -6\/3307 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*o**5 + 201*o**4 - 15993*o wrt o.\nAnswer: 420*o**3 + 2412*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(2\/15)*l)\/l**(-7))**(23\/5))**(-49) assuming l is positive.\nAnswer: l**(-154399\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**(-5)*y*(y**8\/y)\/y assuming y is positive.\nAnswer: y**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = 1. Let p be (c\/(-2))\/(2\/(-12)). Let o(m) = -m + 9. Let a be o(p). Solve 4*u - i - 11 = a, -4*u - 5*i = -31 - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 14, -6, 5, -5, -797, 3 in descending order.\nAnswer: 14, 5, 3, -5, -6, -14, -797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:10 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k = -67 - 338. Let w be (-1 - (-18)\/k)\/1. Factor -3\/5*j**4 - w*j**2 + 0*j - 3\/5*j**3 - 1\/5*j**5 + 0.\nAnswer: -j**2*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*g = -200 - 724 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 2:14 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 1560*w**2 - 9390*w + 3. Determine q(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 11, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 125 = 5*q + 4*h, q + 3*h - 15 = 0. Sort q, 3, -4, -1 in ascending order.\nAnswer: -4, -1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27360011 less than 0.04818?\nAnswer: 27360011.04818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 q when three letters picked without replacement from {q: 3, f: 1, z: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4554344339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17 - 0 - 14)\/(6\/4). Suppose -p = -g - 1, -3*p + 7 = -g + p. Solve z + z = -m + g, j*m = 5*z + 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*w + 1 - 0, -233*q + 224*q + 15 = -5*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w**2. Let o(t) be the third derivative of 0*t + 0*t**4 + 0 - 8*t**2 - 1\/60*t**5 + 0*t**3. Calculate b(o(x)).\nAnswer: 11*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2. Let w(m) = m**2 + 18*m + 35. Let o(b) = 3*b**2 + 51*b + 105. Let a(u) = 6*o(u) - 17*w(u). What is a(c(q))?\nAnswer: q**4 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -7*v - 407. Solve v*t + 9 = 34*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 4:59 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/(-11) + 2\/11. Let x = 13 - k. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -1281.303179?\nAnswer: 1277.303179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, d: 2}. What is prob of picking 2 q and 1 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -11303?\nAnswer: -11311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15*m - 11. Let c be y(-1). Let z be 7\/12 - (-3)\/(-9). Which is greater: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*t - 438 + 873 - 436)*(3 - 2*t - t - 5).\nAnswer: -315*t**2 - 207*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51.2 - -58. Let j = -0.2 + v. Let r = 6.60000189 - j. What is r rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 4287.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 15, d = -d - o + 9. Solve 3*l + 5*t = -0*l + 7, -d*l = 3*t - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25257316 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0998 - 4.624. Round d to 1 dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**4\/24 + 21*c**3\/2 - 4*c**2 - 4*c. Let b(a) = -2*a. Determine z(b(p)).\nAnswer: 2*p + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b. Let n(j) = 4*j. Suppose -4*q + 4*w = -56, 0*w = -5*w - 20. Let i(m) = q*c(m) + 3*n(m). Let t(v) = 2*v**2. Calculate t(i(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**2\/5 + 16214304*y\/5 - 16431478387776\/5 = 0. What is y?\nAnswer: 2026788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 77, 157, 237, 317?\n\"Answer: 80*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-8)\/(-161)*(-326)\/((-361860)\/(-777))?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2 - 480*d - 3404?\nAnswer: 4*d - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**2 + 3*i - 2*i**3 - 2*i + 4*i**2 to c*i**2 + d + b*i + p*i**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 9) in base 4?\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 11:59 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 4*l**3 + 2*l**3 + 11*l - 13*l - 2 as j*l**2 + c*l**3 + o + k*l and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*s + 4*s. Suppose 3*d + 4*o + 22 = 0, -7 - 1 = d + s*o. Let h(g) = g**2 + 5*g + 9. Determine h(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/28)\/(85\/(-102))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(143)*-3)\/sqrt(11))**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 107, 0.1, -0.073, -2\/15, -1.22?\nAnswer: -1.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83259 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-four fifths of a hour?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(sqrt(912) + sqrt(912)*-2)*-4)\/((sqrt(54)\/sqrt(36))\/((sqrt(12) - sqrt(12)*2)\/sqrt(6))).\nAnswer: 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 6*u - 10. Calculate the lowest common multiple of y(8) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1546*x + 1381?\nAnswer: -1546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 + -129. Sort 15, w, 5, -0.3 in descending order.\nAnswer: 15, 5, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 27 + 13078\/(-286).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.66 - -2.66. Which is smaller: h or 254?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8441\/12 - 1417\/2. What is the common denominator of ((-8)\/40)\/((-204)\/210) and n?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 - 88*u + u**2 + 0 - 3 - 26521011*u**4 + 26521004*u**4 in the form o*u**3 + y*u**2 + a*u**4 + x*u + d and give x.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-15)\/(r*r**(-2\/7)) assuming r is positive.\nAnswer: r**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118842985 is divided by 4415?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52305624, -52305623, -52305622, -52305621, -52305620?\n\"Answer: t - 52305625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.48067471 to two decimal places.\nAnswer: -22.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*c**2 + 13*c**2 + 24*c**3 + 15*c**2)*(0*c - c + 2*c) to l*c + o*c**3 + r + t*c**4 + b*c**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 107051981203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (2 - -4 - 13). Suppose -o*f + 166 + 582 = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vorovon. What is prob of picking 2 o, 1 r, and 1 n?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10*f**2 - 56*f + 27. Determine n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 10*o + 10. Let n = 67 - 75. Give h(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u**2 + 17*u + 6. Let v be p(-4). Solve 72 = -10*z + v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -158 + 157.89. Let j = -7 - -12. Which is the nearest to w? (a) -0.1 (b) 2\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001001001010 (base 2) to base 10.\nAnswer: 4682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 247?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10473606887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 90.9. Let k = -19\/5 + 118\/35. What is the third smallest value in d, k, -2\/3, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4765 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*o = 52, -16 - 7 = -2*t - 5*o. Suppose -5*w - w + t = 0. Solve 4*h + 8 + 7 = 5*a, -w*h + 6 = 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -5*l, 0 = 16*u - 129*l + 131*l - 18 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(12\/11))*t**(-5) assuming t is positive.\nAnswer: t**(-67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817342.\nAnswer: 2, 19, 137, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6580, 6885, 7190, 7495, 7800, 8105?\nAnswer: 8410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -16. Let p(s) = l + 13 - 3*s**2 + s + 4*s**2. Suppose 0 = -r + 4, 4*h - 2*r - r = -12. Determine p(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69942473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-28) - 1\/7. Which is the closest to 0.1? (a) -0.3 (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -144. Suppose 5*l = 4*g + z, -3*l + 2*g = l - 64. Suppose -2*w + l = w. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -226.7 + 227.2. What is the second smallest value in -5, l, 4, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1690*w**2. Let t(m) = -2*m. Give k(t(d)).\nAnswer: 6760*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 407966 and 2545478?\nAnswer: 5746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 4:46 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 334*q - 37. What is the remainder when x(1) is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - 2 + 1 + 0)*(4624 - 4624 - 47*f) in the form w + y*f**2 + c*f and give c.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + l - 6 = -2*g, 3*l - 12 = 0. Suppose 0 = 3*i - a + 32, 26 - g = -2*i + 2*a. Let n(j) = j**3 + 11*j**2 + 11*j + 2. Calculate n(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/19 (b) -3 (c) -1\/6 (d) 0.098\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(252) + -2*sqrt(252)) - -3*(sqrt(252) + 2))**2.\nAnswer: -216*sqrt(7) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 683273819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 12:57 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 15424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 701?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -10. Let v = 11 + q. Let l(s) = -s**2 + 7*s - 5. Calculate l(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3794918736?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**2. Let j(y) = -7 - 1 - 5*y - 2 + 3. Let n(w) = 2*w + 3. Let c(i) = -6*j(i) - 14*n(i). What is u(c(x))?\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 102100662 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-36))\/4*(-180)\/(-18)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 962.3246 micrometers in kilometers?\nAnswer: 0.0000009623246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 818 = -4*o - 174. Let z = o + 368. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/4 + 3053*s**2\/4 - 3104471*s\/4 + 1051480075\/4 = 0. What is s?\nAnswer: 989, 1075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801063?\nAnswer: 3, 29669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 415 or 403?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 4:29 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3\/7)*f)\/((f\/(f**(-8)*f*f)*f)\/f))\/(f*f**(3\/2))**(-45) assuming f is positive.\nAnswer: f**(1499\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125*c**4*r**2 + c**4*r - 79*c**3 + 2*c**2*r**2 - 4*c**2 + 111*c*r**2 + 35 wrt c?\nAnswer: -3000*c*r**2 + 24*c*r - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4. Which is the closest to -0.04? (a) j (b) -4\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Let j(s) = 4*s**y + 0 - s - 1 + 0 + 0*s**2. What are the prime factors of j(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.04. Let h = v + -0.02. Let n = h + 0.0681. What is n rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 16*j**2 + j + 19. Let c be a(-16). Suppose c*s - 23 = 1. What is the remainder when s is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5250600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131759587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 25. Suppose v = 3*r + w + 3*w - 6, 5*r + 13 = w. Which is bigger: r or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 697, 7315, 25703, 61747, 121333, 210347?\n\"Answer: 981*l**3 - l**2 - 246*l - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dws when three letters picked without replacement from gysyyyswggdy?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 98143815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2948b3 (base 13) to base 11.\nAnswer: -62a850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 494336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 9 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 17 - 8. What is the smallest value in x, 2\/11, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137776, 275641, 413590, 551623, 689740, 827941, 966226?\nAnswer: 1104595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - -61. Let o(k) = k**2 - 36. Let a be o(p). Solve -l - 2 = -a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/7 - 4\/14. Let j(v) = 15*v**3. List the prime factors of j(k).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -9673.1, -0.061 in ascending order.\nAnswer: -9673.1, -0.061, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 156.8312 - 157. Let p = -30 + 29.83. Let i = p - y. Round i to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.02 + 0.02. Let r be -11 + 16 - (2 - (0 + 0)). Let z = -9.958 + -0.042. Sort u, z, 5, r in decreasing order.\nAnswer: 5, r, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 - 4*u - 7*u**2 + 10*u**2 to y + f*u + n*u**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -163 - -42. Let f = -121 - m. Suppose 0 = -t + 5*t + 12, -5*a - 3*t + 281 = f. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.02 + 0.12. Let x = 1.9 + h. Suppose -4 = -0*m + 2*m, g - m = -2. Which is the nearest to -1? (a) g (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {v: 5, b: 1, k: 2, j: 5, y: 5, g: 1}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**5\/60 - 4*c**3\/3 - 12. Let a(z) be the third derivative of g(z). Let h(d) = -19*d**2. Give h(a(p)).\nAnswer: -76*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -262.72663962.\nAnswer: -263.02663962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 9*h - 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 10 + 4 - 19 - 29\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -26. Let p = -2.999966 + m. What is p rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 874*z**2 - 81519*z - 3823. Give i(-959).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16 - -1) + 3\/1. Let g be (k\/15)\/((-1)\/3). Sort g, 5, -0.2 in descending order.\nAnswer: 5, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1951.\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -194*b**2 - 211*b + 8. Let v(z) = -195*z**2 - 210*z + 10. Let g(q) = -5*p(q) + 4*v(q). What is the second derivative of g(i) wrt i?\nAnswer: 380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1942, 2005, 2048, 2071, 2074, 2057, 2020?\nAnswer: 1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*k + 66 = -32, -3*k + 67 = 2*w. Let r(g) = -32 + 11*g**2 + w. Let v(z) = z**2 + 0*z**2 + z**2. Calculate v(r(c)).\nAnswer: 242*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.85 - -28. Let n = w + -0.45. Put -3\/5, -1, n in increasing order.\nAnswer: -1, -3\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - d = -2071, -9*d - 3457 = -5*i - 12*d. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -1, -4*k - 3*j + 708 = k. Calculate the remainder when k is divided by 52.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148020 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -1140?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -604041 (base 8) to base 3\nAnswer: -101002112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, p: 4, c: 4, i: 6}. What is prob of sequence dicp?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/460 and 41\/10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13142*r**4 + 114*r**3 + 234*r**2 - 32*r - 20 wrt r.\nAnswer: -315408*r + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -161\/16 in -0.4, -0.1, 0, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvxvfvfvzzzvfvvxxvvf. Give prob of sequence fvx.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 99, 160, 229, 306, 391?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3884610061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + (-26)\/(-4) - 1)*118. Suppose -3*g = -355 + z. Let f = 12 - 2. What is the highest common factor of g and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*v - 2*g + 61, -4*v = g + 19. Let c(d) = -2 + 2 + d**2 + 4*d**2 - 1 + 8*d. Is c(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1467*k**3 - 5571560*k**2 + 1472*k**3 + 5571560*k**2.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 35305235.\nAnswer: 70610470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.109 - -0.091. Let n = -23.2 + w. Let m = -2.4 - -0.4. Which is the closest to n? (a) 2\/3 (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -20. Let h = -0.05 - -0.15. What is the third smallest value in v, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -1\/2*a - 2*a**3 + 0 - 2*a**2 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -991.1 + 571.895?\nAnswer: -419.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pliipeliiylipp. What is prob of sequence liey?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 51712.\nAnswer: -1\/25856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2800*g - 5606*g + 2794*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-64)*0)\/(-2 - 0). Which is the closest to 0.05? (a) 0.13 (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2 - 4*k + 3. Let w be q(6). Let z = 90 - w. Solve -z = -5*a + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 3 - 1)*(5*o - 2*o + 3*o) - 3*o + 4*o + 2*o)*(-1 + 1 + o) in the form c*o**2 + t*o + f and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7321255549.7 - -2519\nAnswer: -7321253030.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2412903*z**2 - 1206459*z**2 - 1206372*z**2.\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.22235 - 0.222328668. Round o to 7 decimal places.\nAnswer: 0.0000213","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 0*g**2 - 1\/2*g**3 + 0 + 13*g. Let i(q) be the first derivative of 5*q**3\/3 + 8. Determine o(i(b)).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-78)\/5)\/(12\/(-40)). Suppose 3*t + 2 = -1. Let u be (2 - 1)*t + 14. Calculate the greatest common factor of u and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 4*d + 28. What are the prime factors of f(-15)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -476 divided by -14\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 711390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, -54, -241, -432?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**4\/12 + 32*z. Let i(p) be the first derivative of -5*p - 5 + p**2 + 5*p. What is k(i(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03287733 to five dps.\nAnswer: -0.03288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**4 - 26*d**3 - 10*d**2 + 114*d - 36.\nAnswer: 2*(d - 3)**2*(d + 2)*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + p + 21 = -2*r, -7 = r + 3*p. Sort 5, r, 0 in increasing order.\nAnswer: r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3525930?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3af + -5?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12913704079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 + 124*o**2\/3 + 266*o - 1188.\nAnswer: 2*(o - 3)*(o + 11)*(o + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r + 4*r)*(-52*r**3 - 48*r**3 - 68*r**3).\nAnswer: -168*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5 + 1424*v**4 + 2836*v**3 + 1416*v**2 = 0.\nAnswer: -354, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**2*m**4 - 21*k**2*m + 241848*k*m**4 + 21*k*m**2 - 162*m**2 wrt m.\nAnswer: -48*k**2*m + 5804352*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**2*i)\/i)**(3\/38))**(-21) assuming i is positive.\nAnswer: i**(-63\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(459)*4)\/(sqrt(27)\/(sqrt(9) - (sqrt(81) - sqrt(9)))).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -163 - -166.36. Let r = z - 3. Let s = -0.06 + r. Which is the closest to 0.1? (a) 0 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13288 + 28866. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 25, -3*y + 12 + 83 = -4*p. Let q be (-10)\/(-25) - (-5388)\/p. Let b = 430 + q. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -115314, -115257, -115200, -115143, -115086, -115029?\n\"Answer: 57*f - 115371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*t = 21, -2*y - 3*t + 780 - 794 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 51a9 (base 11) to base 5\nAnswer: 210040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-39)\/468)\/((-3)\/(-6)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**3\/6 + 15*t**2\/2 + 5*t. Suppose -11 = 3*a - 2*a. Let d be c(a). Solve -d*u = u - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 5\/6*g**3 - 2 - 4*g + 0*g**2. Let f(u) = 7*u**2. Give f(q(r)).\nAnswer: 175*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 398118*c**3 + 337*c - 181 wrt c?\nAnswer: 2388708*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 589 - 205. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 < 7.13446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) -9\/2 (c) -256\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1135940258?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -614 - -624.36. Let r = m - 10. Let a = r + -0.360076. What is a rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 2:40 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.322 - -0.002. Let u = r + -0.565. What is u rounded to two dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a + 26 - 75. Suppose -a*i + 6*i + 18 = 0. Calculate the highest common divisor of 12 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 357300.\nAnswer: 714600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/((x*(x*x**3)\/x)\/x*x))*x\/(x\/(x\/(x*x**(-14\/9)))))**26 assuming x is positive.\nAnswer: x**(1534\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-2)\/4*(-4)\/(-6)). Suppose -7*w = -l*w + 296. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbjjbbbppmppbcbbbphb. What is prob of picking 1 p, 1 m, and 1 h?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*n + 13*n - 334 - 282 = 0. Calculate the greatest common factor of n and 10373.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3800 + 1902 + 754*y**2 - 756*y**2 + 1898.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7961467.\nAnswer: 1151, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -1, -7\/2, -0.792, 0?\nAnswer: -0.792","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, and 1 f when three letters picked without replacement from {f: 1, p: 1, y: 4, s: 1, t: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 50*m**2 - 26259*m + 1667. Determine b(-139).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5039\/4 or 2086?\nAnswer: 2086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 33*v**2 + 62*v. Let n be d(31). Solve 17*c - 91 - 45 = n for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**3 + 3*r - 3*r - r**3 + r**3 - r**3 + (14*r**2 - 47 + 47)*(-r + 34*r - 4*r) - r**3 + 3*r**3 - 4*r**3.\nAnswer: 408*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22a7 (base 15) in base 5?\nAnswer: -213412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z**2 + 20*z + 17. Let n(l) = -3*l**2 + 7*l + 6. Let t(s) = -4*b(s) + 11*n(s). Solve t(f) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763012 divided by -256?\nAnswer: -190753\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 9 + (4 - 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/7 - 23*z**3\/7 + 16*z**2 + 92*z\/7 - 432\/7 = 0. What is z?\nAnswer: -27, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30513?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z - 15. Suppose 3*n + 2*x - 1119 = 6*x, -n + 373 = -z*x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 5*j**2 + 9*j + 9. Let v be r(-6). Let q be (-3 - v\/3)\/(-2). Suppose q*n - n = -36. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -209, -408, -561, -644, -633, -504, -233, 204?\n\"Answer: 4*l**3 - l**2 - 224*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47555*v - 300 - 955 = 47801*v - 271 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 328 and 181536?\nAnswer: 7442976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6483 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1274\/17 > 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 1372*q.\nAnswer: -4*q*(q - 343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -2*o + 18, -4*a = 5*o + 57 - 120 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462181 to the power of 1\/2, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1021, 1093, 1213, 1387, 1621?\n\"Answer: m**3 + 18*m**2 + 11*m + 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8557.942mm?\nAnswer: 8557942000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 30 - 30.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0*t + 5\/3*t**3 + 0 - 17*t**2 - 1\/6*t**4 + 1\/150*t**5. Factor y(q).\nAnswer: 2*(q - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/150*2*16\/(-64).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1296 and 39272.\nAnswer: 6362064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*m - 37*m - 7 + 7.\nAnswer: -94*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1375, 1208, 1027, 826, 599, 340, 43, -298?\n\"Answer: -h**3 - h**2 - 157*h + 1534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 3:00 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 14*m**2 - 16*m - 22. Let s be n(-13). Sort 3, s, 2 in ascending order.\nAnswer: 2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2)\/(8\/2 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 2*o. Suppose o = -9*c + 4*c + 20. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 58536*j**2 + 353469744*j - 616565198592.\nAnswer: 3*(j - 8244)**2*(j - 3024)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - (sqrt(60)\/sqrt(2) + sqrt(30)))\/sqrt(6) + sqrt(5) + (-5*(sqrt(5) + 1) - sqrt(5)) - ((-1*sqrt(50))\/sqrt(2))\/sqrt(5).\nAnswer: -5*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 4. Suppose 9*p = 10*p - 5. What is the remainder when p is divided by s(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 486\/47?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 895.9 + -944. Let c = y - -46. Round c to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 + 0.3. Suppose -6*h + 128 = -2*h. Let l = 127\/4 - h. What is the closest to l in 2\/7, -3\/5, f?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -3\/533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 882, 3796, 8720, 15702, 24790, 36032, 49476, 65170?\nAnswer: 83162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, 4, 67 in decreasing order.\nAnswer: 67, 4, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(sqrt(5) - (sqrt(5) - (sqrt(5) + sqrt(40)\/sqrt(8) - sqrt(5)))))**2.\nAnswer: 30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 19 = 5*z, -12*p + 35 - 5 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 361283731 and 863.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*j = -4*j - 5, -5 = 5*p + j. Which is the closest to -3.15? (a) p (b) 0.2 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {v: 10, o: 10}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - -62. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-4\/7)*z**(-3\/4))\/(z**(-11)*z**(2\/37)\/z) assuming z is positive.\nAnswer: z**(13227\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5282 + -5286. What is the smallest value in -6, -0.074, x, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245*l - l**3 + 2*l**2 - 249*l - 6*l**2 to the form k*l + q*l**3 + u + b*l**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120112 (base 3) in base 6?\nAnswer: -5152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.953303ug in tonnes?\nAnswer: 0.000000000000953303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 271080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 69. Let t = a + -10. Suppose 0 = 3*u + t - 169. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -14*q + 1230. List the prime factors of q.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/7)\/(((-35)\/(-42))\/(455\/(-26)))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 7*f**2 + 4*f - 10. Let j be (-2)\/3*(-1 - 11). Does 22 divide k(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5072*p - 19 + 5073*p + 15.\nAnswer: p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -10*l**3 + 1001*l**2 - 80*l + 197. Calculate c(100).\nAnswer: 2197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - 2 + 167*d**4 - 482*d**4 + 10*d - 4*d**3 + 158*d**4 + 158*d**4 as j*d**2 + a*d + h + c*d**3 + o*d**4 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3\/11 + 13932*j**2\/11 + 41810*j\/11 + 27876\/11 = 0.\nAnswer: -2, -1, 6969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*n**3 - 6*n + 8 - 33 + 4*n - 46*n**3 - n as b*n**2 + a + s*n**3 + d*n and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -73. Let i = t + 36.8. Round i to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - -45) + -17 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016804 to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4991279589.\nAnswer: 3, 31, 73, 81689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 0.4 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Let w(m) = -m. Let s(k) = 2*k. Let h(i) = -s(i) - 5*w(i). What is v(h(b))?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 9. Let d be k(4). Suppose -2*r = -d*z + z + 24, 0 = 5*z - 25. Is r\/10 + 255\/25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)\/r**(8\/3)*(r*r**5*r)\/r*r*r**(-2\/7) assuming r is positive.\nAnswer: r**(-62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 0 + 0*o - 12*o**2 + 7\/20*o**5 + 7\/2*o**3 + 0*o**4. What is the derivative of j(f) wrt f?\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21773 - 28529. Which is smaller: k or -6757?\nAnswer: -6757","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26702 (base 12) to base 14.\nAnswer: 15390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5092*s + 68623 + 37244 = -1171*s for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2836, -5094, -7352, -9610, -11868, -14126?\n\"Answer: -2258*w - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 6*h = -40. Let d be 3*4*2\/(-60)*-35. Suppose -j - 9 + d = 0. Sort h, -1, j.\nAnswer: -1, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 12236.71588\nAnswer: 12236.81588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v = -9. Suppose -10*n = 2*n - 24. Let m(k) = v + n*k - 5 + 2. Let d(b) = -4*b**2. Determine m(d(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 39. Let a = 16 + i. Solve -14 = -a*z - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110*m**3 - 4*m**2 - 1975*m - 10047905 wrt m.\nAnswer: 330*m**2 - 8*m - 1975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6547821 (base 9) to base 4\nAnswer: -31122120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 13*s - 126. Let x = s + -13. Let q(b) = 2*b**2 - 3*b + 3. Let r(g) = g**2 - 2*g + 2. Give x*q(l) + 6*r(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 31 (b) 16 (c) 2\/23 (d) -2\/7 (e) 2\/9 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-288)\/60)\/((-38)\/(-95)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtkk when four letters picked without replacement from kvkvqqvqvqvqvvtk.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 33*a - 17. Let q be j(9). Calculate the greatest common factor of q and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47\/60 + 8\/15. Which is the closest to h? (a) 2 (b) 0 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 862556726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12249*l + 135*l**2 + 12249*l - 24498*l.\nAnswer: 135*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 116*r**3\/3 - 3*r**2\/2 + 71*r + 134. Find the second derivative of u(t) wrt t.\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 13. Suppose 0 = -g*n + 14 + 1. Suppose 5*p - 245 = -5*o, -n*p - 5*o = -o - 247. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30*((-6)\/(-9) + 10\/12). Suppose 4*r + a = 13*r. Suppose 2*g = 2*m + 294, -2*g - r*m + 284 = -2*m. Calculate the remainder when g is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*-3*(-28)\/63.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -55. Which is smaller: 6\/7 or m?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*j + 374*j - 15579 = 0 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5\/4 - 271*l**4\/4 + 819*l**3\/4 - 821*l**2\/4 + 137*l\/2 = 0.\nAnswer: -274, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*u**3 - 38*u**4 + 25*u**3 + (3*u - 3*u**3 + 4*u**3 - 6*u)*(-3 + u + 3).\nAnswer: -37*u**4 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 18459341 = 6268868. Suppose 6 = 3*z, a - 11148021 = -s - z. Round s to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a*b*j**2 + 2193*a*b*v - 15*a*b - 2*a*j**2*v - 12*a + 3*j**2*v + 7*j**2 wrt v.\nAnswer: 2193*a*b - 2*a*j**2 + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srr when three letters picked without replacement from {q: 1, s: 1, r: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -27, -50, -91, -156, -251, -382, -555?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 4*u + 2. Let b be 4 + (2 + -8 - 3). Let q be (-1)\/(b\/45) + -6. Give g(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 4. Let i = 449 - 447. Let l(v) = -6 + 3 + 2*v - 1 - 1. Calculate i*l(n) + 3*h(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 12 = -3*r, r + r + 8 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ombv when four letters picked without replacement from bbmxorvo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**5 - 660*c**4 + 54450*c**3 = 0.\nAnswer: 0, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.4844 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1, -1\/3, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 10 + 10)*(108 - 11*m - 108)*(-2*m + m - m) as d*m**2 + g*m + x and give d.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2. Let v(z) = -2*z + 2. Let w(q) = q**2 - 3*q**2 + 5*q**2 - 9 - 4*q**2 + 9*q. Let l(k) = 9*v(k) + 2*w(k). Determine s(l(c)).\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12485 - 137336\/11. What is the fifth smallest value in -0.036, -0.3, y, -5, -1?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.29, 72.5, -5 in decreasing order.\nAnswer: 72.5, 1, 0.29, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29\/6*j - 29\/6*j**3 - 1\/6*j**4 + 14\/3 - 9\/2*j**2.\nAnswer: -(j - 1)*(j + 1)**2*(j + 28)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 657 (b) 8\/3 (c) -5\/2 (d) -2\/7 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-22) - (-175)\/55. Factor -4*n**4 - a*n**2 + n**3 + 6*n**3 - 2*n**4 + 2*n**4.\nAnswer: -n**2*(n - 1)*(4*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4058332*u = -4058298*u + 1700 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6 - -2)*(990\/44 + -21). Let c(q) = q - 6. Let v be c(8). Solve -16 = -k*z + 2*x, 0*x - x = -v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 423, 9, -0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -25*c + 2. Let a be h(0). Let n(y) be the third derivative of 0*y + 5*y**a - 7\/6*y**3 + 1\/6*y**4 + 0. Find the first derivative of n(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**0\/g)**(-2\/47)\/(g*g**(-1\/5))**(-33) assuming g is positive.\nAnswer: g**(6194\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 0.003 (b) -2\/3 (c) 2\/11 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1423 + 4*x + 1416 + 36*x**2 + 2*x + 2*x. Suppose 7*t + 1 = -u + 4*t, 2*u - t - 33 = 0. Calculate the remainder when o(1) is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -3\/8, -5, -0.7, 0.07, -32?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3*(-20)\/(-6)))\/((-13797)\/(-315))?\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2. Let v(z) = -1434600*z**2 + 2*z. Give v(t(x)).\nAnswer: -5738400*x**4 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - 5. Let u = 0 + d. Let b = -15 - u. What is the third smallest value in b, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 26*v - 33*v. Do -11 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**3 - y**2 - 5. What is the second derivative of j(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*o**2 + 27*a**3*o - 8*a**3 - a**2*o + 2966737*a*o**2 + 2*a*o - 32 wrt o.\nAnswer: 2*a**3 + 5933474*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1274*j**3 + 1049*j**3 - 874*j**3.\nAnswer: 1449*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 8.09\nAnswer: 8.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12*1)\/(((-52936)\/(-30540))\/(12\/10))?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 15*v**4 - 13*v**2. Suppose g = 4*g - 24. Let n(p) = -44*p**4 + 39*p**2. Let j(w) = g*r(w) + 3*n(w). Find the third derivative of j(x) wrt x.\nAnswer: -288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = 2*a, w + 4*a = 6*w - 2. Solve s + s = w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**2 + 127*b - 17. What is k(15)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000010111 - -110111100101001110?\nAnswer: 110111000100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -4. Let u = t - 13.02. Put u, 1, 4 in descending order.\nAnswer: 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 532249286 less than or equal to 532249286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010.5 rounded to the nearest ten?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 2\/9, 2\/31, 0.0577?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -61 - 79. Suppose -27*g - 64 = -t*g. Solve -g = 5*j + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h + 42 - 135 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 4 + 0\/3. Suppose -2 = -t*i + 8. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 33 - 30)*(s**4 + 0*s**4 - 7*s**4).\nAnswer: 330*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6429 + -6375. What is the least common multiple of b and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v + 12347416 = 0. Let n = 247183937\/20 - v. Let r = 11784 - n. Calculate the common denominator of 151\/12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by (36\/27)\/((-4)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12540\/90)\/11*(-5 - -12)\/(-14)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/5 + 144\/30. Suppose 0 = -v - 5*o + 23, -3*v = v + m*o - 32. Let t(q) = q + 1. What is the least common multiple of t(v) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*o + 40*r - 41*r, 0 = o - 4*r + 16. Let v(f) = 2*f**2 - 3*f + 4 - 3*f**2 + 1. Give v(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4454099916843.3580358 - -4454099502111. Let x = -414732 - h. Let l = x - 0.358. Round l to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 3*u - 4 + 2*u**2. Is j(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 5*t**3\/3 + 5*t**2\/2 + 10. Factor y(v).\nAnswer: 5*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1485 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/2 (b) -0.2 (c) -7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102252*t**4 + 15*t**3 - 67*t**2 - 2*t - 569?\nAnswer: 2454048*t + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t. Let x(a) = 249*a**2 - 126*a**2 - 121*a**2. Determine x(k(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-60)*8\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8050 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -864*t**4 - 17012*t**3 - t**2 + 2*t + 6552484.\nAnswer: -20736*t - 102072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006619989 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r + 35. Let p be s(0). Let d be p\/4 - 1\/(-4). Let z = 15 + -11. Solve 3*y - 7 = 2*c, d*y - z*y + 5 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004237415 rounded to 6 decimal places?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 0.2, -209\/2080 in ascending order.\nAnswer: -209\/2080, 0.2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2 - (-6*(sqrt(4)\/sqrt(2) - sqrt(2)) - sqrt(2)))**2.\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31293 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1001105 - 5550?\nAnswer: -1011055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366988 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 21 = -24. Let l = g + 3. Let a = l + 10. Calculate the smallest common multiple of 6 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 9*n + 2. Let u(q) = -q**2 + 6*q + 9. Suppose -6*b + 12 = -0. Let s be 6\/b + 27\/9. Let l be u(s). Calculate r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/88 and -83\/2704?\nAnswer: 29744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -161*u - 3. Let y(a) = -166*a - 4. Give -3*y(p) + 4*z(p).\nAnswer: -146*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 6*o + 6. Let m be a(-8). Are 0 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**6*j\/(j**(2\/51)\/j))**(-7))**(-11) assuming j is positive.\nAnswer: j**(31262\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 45*n - 182. Give f(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 - 18*y**3 - 5*y**3 - 2*y - y**2 - 13*y**3. Calculate the remainder when z(-1) is divided by (17\/(-2))\/((-2)\/4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 32 = -3*r + r, 2*c - 36 = -5*r. Solve 13 - 5 = c*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39740749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 - (14 - (31 - 18))) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.027, -0.521, -0.4, 3, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3\/7 (b) -0.35 (c) -4 (d) 1 (e) 619 (f) -5 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2605410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 18. Let j(w) be the first derivative of -1\/6*w**r + 0*w + 3 + 0*w**3 + 0*w**5 + 0*w**4 + 1\/2*w**2. Find the second derivative of j(s) wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3610, -2\/3875, 0.4, -0.3 in ascending order.\nAnswer: -2, -0.3, -2\/3875, 0.4, 3610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 295.\nAnswer: -4\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97047*j**3 - 2*j**2 - 4*j + j**2 - 97049*j**3 + j**2.\nAnswer: -2*j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -194 - 149 + g + 167 - 221 + (2 + 0 - 4)*(-3*g - g + 3*g) - g + 0 + 0.\nAnswer: 2*g - 397","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/((-2)\/((-8)\/(-12))))\/(-2). Solve f + g = -2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from {b: 1, c: 1, p: 2, r: 3, f: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104002 - 55212. What is f rounded to the nearest one thousand?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(378)*2)\/sqrt(6)*-1)\/(-5*-1*sqrt(144)*1))**2.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(0*o**4 - 6*o**4 + 4*o**4) - 3*o + 3*o - 5*o**4 + (o - 2*o**2 - o)*(-2*o**2 - o**2 + 0*o**2).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -19. Suppose v + d = 0, -5*v = -2*d - 6 - p. Let i(s) = s**3 - 1 - 53*s**2 + s + 53*s**2. Determine i(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1500685301?\nAnswer: 23, 29, 53, 42451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 13*p - 7. Let x(r) = 12*r - 10. Let h(c) = -4*i(c) + 3*x(c). Let n(u) = 6*u. Give n(h(y)).\nAnswer: -96*y - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*v - 1060 = 890 - 150. Solve -3*s = -4*l + 12, 0 = -3*s - 18*l + v*l - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.7351 - -8.78. What is q rounded to three dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - c - 1696 - 1445 = 0, -4*c = -5*j + 5235. Calculate the remainder when j is divided by 361.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2158 = -3*b + 4*c, 2*b - 5*c = 4*b - 1454. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -16 - 17. What is the lowest common multiple of r and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/136 or 0?\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3595 - -3628. Which is the third smallest value? (a) z (b) -1\/4 (c) -0.5 (d) 3 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 12:40 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.224 and 100590.\nAnswer: 626072.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 5\/124, 0.2.\nAnswer: 5\/124, 0.2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*r - 5*r = -7, 20 + 5 = 6*r + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by ((-550)\/44)\/((-45)\/54)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 6*v**2 + 13*v + 42. What is the remainder when w(-10) is divided by 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/8)*(b*b*b**(-2\/21)*b)\/b*(b\/(b\/b**(-1\/3)))**44)**(-9\/2))**(11\/6) assuming b is positive.\nAnswer: b**(23815\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*d - 7 - 5, -4*d = k - 16. Suppose -2*j = -k*j. Suppose -3*y - 6 = 6, 2*q + 5*y - 119980 = j. What is q rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53400793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = 659 + 3571. Let r = i + 424. Solve 4*y = 5*y - r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2. Let i(u) = u**2. Let o(b) = b + 11. Let m be o(-6). Calculate m*i(h) + 3*c(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/3 + 52227012*o - 2045745586836108 = 0.\nAnswer: 78340518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 11*u**3\/3 - 241*u**2\/2 - 2*u - 6046. Let c(p) = -p. Calculate y(c(a)).\nAnswer: 11*a**2 + 241*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4201323292 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -167*p**7\/210 + 91*p**4\/12 - 2*p**2 - 34*p. Find the second derivative of o(w) wrt w.\nAnswer: -2004*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.29 rounded to zero dps?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 29*l - 13. Let k be r(2). Suppose m + 45 = k. Which is bigger: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 47*h - 1. Let j(f) = -82*f - 1. Let z(g) = 4*c(g) + 2*j(g). What is z(-3)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v - 20. Suppose -13 = -x - v*j, 0 = -7*x + 3*x + j + 1. Suppose -2*u + 5 - x = 0. Which is the third smallest value? (a) -0.2 (b) u (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -113728*i**3 - 58208*i**2 - 7780*i - 84 = 0.\nAnswer: -1\/4, -21\/1777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19375 or 18609?\nAnswer: 19375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1345140*r + 22763*r**2 + 1345140*r.\nAnswer: 22763*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 - 84. Let r be (-6)\/(-9) + (-15)\/o. Which is the biggest value? (a) r (b) 2\/17 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -38. Is m > 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276976 divided by 69244.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 2 + -633 - 4. Is 2 - c\/(-8)*-14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*r = 2*r + 19, 4*r = -2*z - 2. Suppose 3*m = -0*m + 33. Let s = 12 - m. Solve s = 2*x - z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -29396*f. Let v(n) = -41*n. Determine z(v(t)).\nAnswer: 1205236*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 631. Let f(g) = -4008*g**2 + 8050*g**2 - 4038*g**2. What is w(f(z))?\nAnswer: 16*z**4 - 631","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/((-6)\/(-40)*-2). Let w = -18 - p. Solve g - 10 = 5*t, -w*g + 16 = 4*t + 2*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107 + -35?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*s = -8, 2*y - 2*s - 8 = 4*y. Let i(d) = -d + 3. Let g be i(y). Find the third derivative of g*u**2 + 2*u**2 + 0*u**2 - 8*u**2 + 2*u**3 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*d - d - 106, 173 = -3*x + d. Let b = x + 61. Solve 3*p = -b - 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 7*c**2 + c - 4. Determine j(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -633 - -305. Let b = v - -326. What is the nearest to -0.1 in -0.1, b, -3, 0.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48420139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2264 - -2263. Let w be ((-6)\/5)\/(18\/60). What is the closest to -0.1 in 2, d, w, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 7*t = -w + 67, 10*w - 338 - 194 = 4*t for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 at least 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4105500 or -0.47?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100100101 (base 2) to base 16.\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -25. Suppose -4*d + 2*u + 312 = p, 3*u - u = 3*d - 236. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from keeke.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**3 + 59156*h**2 + 1358376*h - 1417536 = 0.\nAnswer: -14766, -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690154.\nAnswer: 2, 61, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.03825 times -0.5\nAnswer: 0.019125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + 15.91866.\nAnswer: 64.91866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*6*((-988)\/57)\/(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 10 + 10. Suppose -2*b + 6*b = a. Suppose -258 = -7*k - 272. Put k, b, -3 in decreasing order.\nAnswer: b, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48887 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 + 41\/(-2). Let x = r - -39. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 5*n + 3. Let t(w) be the second derivative of -w**4\/4 + 7*w**3\/6 + 2*w**2 - 12*w. What is -7*f(i) + 5*t(i)?\nAnswer: -i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 414573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.28 - -0.18. Let z(o) = o**2 - 71*o - 1708. Let t be z(90). Which is the closest to i? (a) -5 (b) 6\/7 (c) 0.2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5342 + 10704 + 1311*p**2 - 5359 as b + h*p + c*p**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 16*f + 1760. Let i be ((-42)\/104)\/(15\/f). Factor 98\/13*d**3 + 0 - i*d**2 + 8\/13*d.\nAnswer: 2*d*(7*d - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 6*q**2 + 15*q - 7. Calculate w(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/432*(-4)\/(-10)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, f: 4, h: 5}. What is prob of picking 2 h, 1 f, and 1 o?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 43. Let z = u - 134\/5. What is the second smallest value in -2\/19, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3 - 2165506*b**2 + 586173781232*b + 1758540833304 = 0.\nAnswer: -3, 541378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-4)\/32)\/(6\/(-8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**5\/30 + x**2. Let g = 86 + -78. Let b(r) = -2*r - 59 + g*r + 59. Determine b(w(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c + 13. Let q be (-16)\/(-12)*107\/214*6\/(-1). Let s(d) = -27*d - 51. Give q*s(h) - 15*l(h).\nAnswer: 3*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9098*i**5 + 4*i**2 + 4905 wrt i.\nAnswer: -545880*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22113904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 15*q**6 + 4*q**4 - 4*q**2 - 4*q. Let k(g) = g**6 + g**4 - g. Let c(f) = 4*k(f) - o(f). Find the third derivative of c(l) wrt l.\nAnswer: -1320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/3552152 and -51\/80.\nAnswer: 35521520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5 - 3*p**4 + 24*p**3 + 28*p**2 - 48*p = 0?\nAnswer: -6, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 43802670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*l - 16 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55365230 is divided by 652?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98152 - 587413\/6. Let q = d + -844\/3. What is the common denominator of q and 4\/(-14) - (-458)\/(-112)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 4*l - 322. What is the smallest common multiple of 54 and t(21)?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/13)\/r**(1\/5))\/((r\/r**(-9))\/r**(-6)) assuming r is positive.\nAnswer: r**(-1043\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001120200212101 (base 3) to base 15.\nAnswer: -1500831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) -4 (c) 0.4 (d) 11.9 (e) -3 (f) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -710632125*c**2 - 149763798*c?\nAnswer: -1421264250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*z + 2*i - 448, -2*z - 31 = 5*i + 10 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 133 + -998247993074\nAnswer: -998247992941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -13. Suppose -r + 2*s - 1 = 0, -6*r = -2*r - 4*s + 4. Let c = r + y. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1379*k - 6469*k + 16067*k**2 - 16068*k**2 to the form f + b*k**2 + t*k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 4 - -4) + (-9 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 0*a + 0*a + (-a + a + 2*a)*(5 - 2 - 2) + 2*a - 3 + 3 - 3 - 3*a + 3 + 6*a - 3*a - a + 8*a + 12 - 12 + 4*a - 5*a + 0*a as y + r*a and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -192 (base 10) to base 11.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99502 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 34\/5*m - 12 + 2\/5*m**3 + 24\/5*m**2 = 0.\nAnswer: -10, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 1.8, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -11, 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 372811*t**3 - 28510*t**2 + 2*t.\nAnswer: 2236866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5 = 14. Let z(t) = 3*t**3 - 2*t**2 - 2*t + 3. Let h be z(1). Factor 4\/5 + 4*i + 23\/5*i**h + 7\/5*i**k.\nAnswer: (i + 1)*(i + 2)*(7*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 + 9*x**4 + 53*x**4)*(0 - 1 + 4) - 14*x**4 + 33*x**4 - 20*x**4 - 2.\nAnswer: 176*x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -932582, -932589, -932606, -932639, -932694, -932777?\nAnswer: -932894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -22*i - 90. Let o be s(-5). Solve -48*v = -28*v - o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 436\/189 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 518411.3 centimeters to meters.\nAnswer: 5184.113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9296943 and 255?\nAnswer: 46484715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 8 = 2*y. Let i(m) = 6*m - 1. Let u(z) = -4*z + 1. Let s(t) = -5*i(t) - 7*u(t). Let f be s(-2). Calculate the greatest common divisor of f and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9061476 by 5.\nAnswer: 9061476\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 77187*16.446\nAnswer: 1269417.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 164, 424, 944, 1814?\nAnswer: 3124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 349.\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -595 - -659. Let x = 17 + -9. Calculate the greatest common divisor of x and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*j + 62. What is the smallest common multiple of 13 and j?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**4 - 6*p**3 - 6*p**2 - 27*p. Let j(u) = -3*u**4 - 5*u**3 - 5*u**2 - 26*u. Let f(h) = 6*j(h) - 5*q(h). Find the second derivative of f(y) wrt y.\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1348 greater than or equal to -1348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s - 16. Is (-5 - -7)*(-77384)\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1486\/789223 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 1 + 8 = 3*a, 2*a + 2*q - 18 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1697 + 1694 - 4*i - 3*i**2 - 3386.\nAnswer: -3*i**2 - 4*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/17 - 574*j**2\/17 - 2*j\/17 + 574\/17 = 0. What is j?\nAnswer: -1, 1, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2193136*-0.2\nAnswer: -438627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 16*k**3 + 3 + 14*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187 - (345 - 191) - (-11 + 1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10434420 (base 7) in base 5?\nAnswer: 212241211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -146077, -292152, -438227, -584302, -730377?\n\"Answer: -146075*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - v = -q - 23, -2*q - 3*v = 8. Let m be 15\/35 + (-193)\/q. Suppose -5*u - 2*u + m = 0. Is 3 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 923, -5, -1\/7, -9, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*d + 1974 = 9431*d - 3410 - 3160 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/11 (b) -0.2 (c) 26 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4454 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1031, -1029, -1027, -1025, -1023?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307750, -615398, -923044, -1230688, -1538330, -1845970, -2153608?\nAnswer: -2461244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6326505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + 49*b**2 - 19*b + 105. Is p(-20) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 31. Let o be ((-72)\/16)\/(a\/12). Let l(y) = -y**2 - 6*y + 4. Give l(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 18. Put 7, r, 5 in increasing order.\nAnswer: r, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28938053 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3297 and 9?\nAnswer: 9891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -42\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 3*i**2 + 0*i)*(2*i - 16*i - 16*i).\nAnswer: 90*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444009.\nAnswer: 3, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 10*i + 13. Let p(y) = y**3 + 3*y**2 - 5*y - 10. Let f be p(-4). Let c be s(f). Find the first derivative of 30*o - 20*o - c*o + 37 wrt o.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 5 (c) -0.6 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + p + 10. Let u be l(0). Let d be -3*6\/(-45)*u. Suppose 3*x + r - 53 = -x, d*x - 41 = -5*r. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1225, 2449, 3673, 4897?\n\"Answer: 1224*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 0, -5*m - 54*m + 4*s = -7 - 111 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113212321 + -11?\nAnswer: -113212332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65814 and 146426.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 6*s - 2. Let w be n(5). Let f = w + -8. Let z be 3*(3\/18)\/((-3)\/(-6)). Sort -2, z, f in descending order.\nAnswer: z, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/6, -2, -1\/48, -12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/4 (b) 20 (c) 110 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12010*j**3*m**2 - 3*j**3 - 508*j**2 + 10*j*m**2 + 5*j + m**3 + 2 wrt m?\nAnswer: 24020*j**3*m + 20*j*m + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -794*(-5)\/(-5 - -65) + (-8)\/((-48)\/5)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 28538311.\nAnswer: -28538311.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -19*n**3 - 75\/4*n**2 - 3 + 913\/4*n = 0. What is n?\nAnswer: -4, 1\/76, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 21\nAnswer: 14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 500276774 to the power of 1\/4, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 5:24 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -141 in -2, -4\/3, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -3722.\nAnswer: 744.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 4. Let a be (-5)\/(5\/3) - -3. Let c be u(a). Let t(v) = -v**3 - v**2 - 5*v + 2. Let m be t(0). Solve 4*o + q = m*q + c, 5*o + 3*q = 22 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*sqrt(242) + sqrt(242))*3 + -3)**2.\nAnswer: -792*sqrt(2) + 34857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/1114 (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -100*r + 89. List the prime factors of o(-7).\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16989724720 + -18.2.\nAnswer: 16989724701.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 728444520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011001 - 1?\nAnswer: -101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -241.25 - -241.75. Let i be (-9)\/(-5) - 5\/(-25). Suppose -3*y - 2 + 5 = 0. Which is the third biggest value? (a) z (b) i (c) y (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 494 + 52 = -21*l. Let a(v) = v**2 + 16*v - 261. Let w be a(l). Let m = -0.08 - -4.08. What is the nearest to w in 3, m, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 5*f + 3 + 22, f - 20 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*m**2\/4 + 10617*m - 1214640.\nAnswer: 3*(m + 1680)*(9*m - 964)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 != 243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -287, 7, 4, 3\/5, 0.3, -43\/2 in descending order.\nAnswer: 7, 4, 3\/5, 0.3, -43\/2, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1756698, 3513606, 5270514?\nAnswer: 7027422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2\/3 - 3556*y\/3 + 1580642\/3 = 0.\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 1314.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 - -144.08. Let i = 146 - q. Let a = 11 + -11.3. What is the nearest to -1 in 0.5, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024035734 to 5 dps.\nAnswer: -0.02404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11878920 divided by 58230.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 322.76 + -80.76. Which is the second biggest value? (a) w (b) 5 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1654 and 0.148?\nAnswer: 1654.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2 + d - 2. Let v = 291 + -290. Let l be y(v). Let r(w) = 3*w - 3 + 1 - 2. Let x(c) = -c + 2. Give l*r(i) + 9*x(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*p - 5 = 0, 0 = -5*p + 24 + 1. Suppose 0 = 6*s - 8 + m. Let g be 0 - (s - (1 + -2))*1. Solve 11 = 5*i + g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 5:19 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 591930413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -508*b**3 + b**2 + 3*b + 1. Let h be k(-1). Let v be 1\/(2 + h\/(-255)). Suppose 2*u + v = 221. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 + w + 1. Let v be r(0). Let k = -4.1 + 4. Let s be 25\/14 + (-2)\/7. What is the nearest to k in 0.1, v, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 204426966*i**3 + 49319169*i**2 wrt i?\nAnswer: 1226561796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/1)\/((-4)\/(-40)). Solve -c = s - 0*s - 5*g, 5*s - 31 = -2*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286793?\nAnswer: 13, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g. Let f(z) = 12*z. Let h(i) = 5*f(i) - 16*p(i). Let s(a) = -13*a**2. Determine s(h(q)).\nAnswer: -208*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (306\/31008)\/((-46)\/184).\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -910, -3091, -6718, -11785, -18286?\n\"Answer: t**3 - 729*t**2 - t - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 383.7 + -331.7. Which is the nearest to 2? (a) 1\/4 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2311273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 52*p**2 + 3*p - 3. Let c(b) = 103*b**2 + 5*b - 5. Suppose 75 = -25*a - 7 + 7. Determine a*c(g) + 5*s(g).\nAnswer: -49*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000654 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.7365384 rounded to the nearest integer?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + 45?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2211\/105 - (-714)\/(-12495)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7251104*r - 137632856.\nAnswer: -7251104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -92*f + 3684. Calculate b(40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + -1 + sqrt(500) + sqrt(500))*3.\nAnswer: -21 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(204)*4)\/(sqrt(12) + sqrt(300)*-2 - sqrt(1452)*-1).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -360 + 151?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Suppose 2*r + 1 = -3, q*j - 23 = -5*r. List the prime factors of 2\/j + (-120)\/(-66).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 12:47 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m - 79. Let p be y(-10). Let d = -4 + 3. Put p, d, 0 in increasing order.\nAnswer: d, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 10*t - 11. Suppose r = 5*g + 20 - 1, -4*g + 10 = 2*r. Let c be k(r). Calculate the remainder when -2 + 8 - 4\/c is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1000011001000010?\nAnswer: 1000011001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32232 + 32486. What is the greatest common factor of 508 and g?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97680.\nAnswer: 2, 3, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1624914 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -2*i - 57 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44.1 - 44.6. What is the fourth smallest value in -2, -0.3, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(5*i - 6*i - 4*i)*(-3 + i**2 + 3).\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -21.53624\nAnswer: -86.14496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1773000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 768.599 to the nearest integer.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 28 = -h, -292 = -5*h - 4*o - 257 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-9) - 23\/(-3). Let g be 9\/(-2)*t\/(135\/(-10)). Solve -g*y - 10 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9254.75 days to minutes.\nAnswer: 13326840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(24\/(-14)) - 20\/(-20). Let r = -2 - -1. Which is the nearest to r? (a) 3 (b) -1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3 + 151*o - 205.\nAnswer: -3*o**2 + 151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -171, -316, -525, -804, -1159, -1596?\nAnswer: -2121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o - 3*o**4 - 9*o + 4*o**4 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (738\/1353)\/(1\/11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -467 - -470. What is the second smallest value in -8, q, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62e2 (base 15) to base 2\nAnswer: 101000110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*d = 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 18 = 5*a, -19*j - 3*a = -20*j - 10. Which is bigger: -575 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -537.6*0.8.\nAnswer: -430.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4 - (45\/12 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-63)\/(-6))\/(-7))\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2949 + 2961. Calculate the least common multiple of h and 896.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 4*o - 1. Let u(a) = 1098*a**2 - 1952*a + 488. Let b(f) = 8296*r(f) + 17*u(f). Let i(h) = 3*h. Give i(b(p)).\nAnswer: 6222*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -1\/156, -5, -2639, -1.3 in increasing order.\nAnswer: -2639, -5, -1.3, -1\/156, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2527387*x**3 + 2044634*x**2 wrt x?\nAnswer: -15164322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -29. What is the second derivative of 1781*j - 23*j**2 + 191*j**2 + h + 0 - 1770*j wrt j?\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -31*i**2 - 6*i + 11. Let m(g) = -1183 - 3*g**2 + 1185 - 3*g**2 - g. Suppose -3*p + 22 = -5*p. What is p*m(r) + 2*t(r)?\nAnswer: 4*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10101200002 (base 3) to base 15\nAnswer: 14c02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*z = 414544, f + 4*z - 81971 - 125298 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*g + 5*g = -71*g + 21660. Calculate the highest common divisor of 2831 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 2\/(12\/18) + 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31540468 - 26489663 = -349*x - 8623248. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 31*x**3 + 4752*x**2 + 1370*x - 1019. Give f(-153).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*v + 2134, 13*c - 9*c - 2840 = -4*v. Suppose v = -7*j + 3843. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1680779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-12))\/(2\/96). Suppose -w + q = 3*w. Suppose 3*b = 6 + w. Solve 4 = -u + 3*u - z, b*z = -2*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140 - 3017*l + 99 - 239 to y*l + s and give y.\nAnswer: -3017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.5, -1, 7 in ascending order.\nAnswer: -1, -0.5, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 48 (c) 0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 175708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 29692*l = -29690*l + 38, -l = 5*o - 44 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3)**(1\/7) assuming z is positive.\nAnswer: z**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 98, 194, 290, 386, 482?\n\"Answer: 96*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 102494.\nAnswer: 2767338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from mgggggggmgg?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-6))\/(24\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*a = 5*p - 26870, 2*a = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 137, 211, 285, 359, 433?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36754 and 5865.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 3.74?\nAnswer: -11.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 19?\nAnswer: -22\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-15) - (6\/(-3))\/(-6). Which is the biggest value? (a) t (b) -13 (c) 0.3 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-368.412\nAnswer: 147.3648","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2772 and 378?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8\/2*(4 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1456)\/(-143))\/(-28) + (-728)\/(-792))\/(1 + 4).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (189 + 166 - 395)*(-3*o + 3*o - o)*(40*o**3 - o**3 + 6*o**3).\nAnswer: 1800*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 7 (c) 2\/3 (d) 0.0397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 436137966*m - 44932600 with respect to m.\nAnswer: 436137966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-914)\/14 - (865*8\/280 + -25)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuuv when four letters picked without replacement from {n: 2, u: 2, s: 2, v: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4\/5 + 117*s**3\/5 + 2349*s**2\/5 + 867*s + 2106\/5 = 0.\nAnswer: -13, -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 - -138. Let o(y) be the second derivative of 11*y**5\/20 + y**3\/3 + y**2\/2 + y. Let s be o(-1). Which is bigger: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*124\/1209.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in 0.4, -4\/409, -3\/52?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-10)*(-9 - 333\/(-27)). Solve g = -5*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 19911 = -5*z, 0 = 2*z + 2*x - 8250 + 284. Is z a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 110*v**2. Let m(h) = -261 + 1038 - 262 - 2*h - 268 - 267. Determine w(m(a)).\nAnswer: 440*a**2 + 8800*a + 44000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1921785.\nAnswer: 3, 5, 128119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 295983*p**3 - 3627*p - 6.\nAnswer: 1775898*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = k + 9, 24 = -k + 2*m - 6*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 20*k + 8*k + 5*k + 8*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1551 divide 3188971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**2 + y + 26. Let p = 27 + -5. Let r(l) = l**2 + 5. Let s(w) = p*r(w) - 4*m(w). Factor s(a).\nAnswer: -2*(a - 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -256 - -260. Suppose -25 - 15 = -5*x. Let h be x\/(1 + 3\/(-4)). Solve -4*u + 4*l - h = -0*l, -14 = -2*u - b*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 + 2*h**2 - 3. Let v(i) = -13*i**3 + 7*i**2 - 11. Let d(a) = -2*v(a) + 9*y(a). Let p be d(4). Let x be p\/4*(-1)\/(-5). Are 1 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23626 + -3?\nAnswer: -23632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**4\/4 - 10*o**3\/3 - 6*o**2 + 11*o + 65. Let v be y(11). Do -2\/33 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4*-2*sqrt(91) + sqrt(91) + sqrt(91))\/(2*sqrt(175)))**2.\nAnswer: 8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (sqrt(720) - ((1*sqrt(720))**2 + -3)) - (1 + (1*(1 + sqrt(5))*-4*-6)**2).\nAnswer: -4171 - 1140*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -22, -58, -128, -244, -418?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/2 - 32\/(-2). Find the common denominator of 4\/u - 2276\/224 and (-3)\/(-8)*-7*8\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -141*x - 6247. Calculate y(-44).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5*(z*z**(-9))\/z)**(-1\/6))**(1\/2) assuming z is positive.\nAnswer: z**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 123172243 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 27 = -3*p, -4*f = -0*p - 4*p - 48. Suppose 2*g = -3*k + 1 - f, -2*k - 3*g - 12 = 0. Find z such that 4\/11*z + 18\/11*z**3 + k + 2*z**2 = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 16*l**2 - 33*l - 12. What are the prime factors of a(-10)?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/2*(-10)\/15*1. Is a\/(-4 + -5) - (-1988)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, z: 6}. Give prob of sequence czzc.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u - 18. Let a(z) be the second derivative of -z**3\/3 + 9*z**2\/2 - 10*z. Let b(m) = -13*a(m) - 6*j(m). Give b(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 - 2*j + 1. Let d be l(1). Solve c - 2*c + 3*n = -11, d*n + 7 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 2*t - 13, t + 9518 - 9531 = -5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20149269.\nAnswer: 3, 7, 959489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -14940317, 1.7 in increasing order.\nAnswer: -14940317, -0.2, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/30 - 7*x**4\/24 - x**3 + 11*x**2. Let n(d) = -2*d**2 + 6*d + 5. Let a = -6 + 11. What is a*g(i) + 6*n(i)?\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 458 = -q - 16*a, 2*q - 107 = 7*q - 2*q + 4*a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 94 - 54. Calculate the common denominator of 1\/(-2 - 34\/(-26)) and (-8)\/12 + c\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 14 = -2*y, y + 2*u - 4*u - 12 = 0. Solve 0*t = 2*t + y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453741.\nAnswer: 29, 50129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**3\/6 + 5*v**2 + 2*v + 132. Calculate j(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 7:48 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 3. Let g be b(4). Let y = -2 + g. Let q = 52 + -54. Put q, y, 2 in descending order.\nAnswer: 2, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 12. Suppose 0 = -b*i - 4 + 24. Suppose -i*r + 5*u + 81 = 0, 4*u + 1 = 2*r - 35. What is the remainder when 70 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 54 + 14 = 0. Suppose m + w = -2*o, 4*o + 10 = -3*m - 8. Let p(g) = -4*g - g - 1 + 3*g. Determine p(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10969 is divided by 354.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1, 2, -3378355, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*k + 0*k - k)*(100 + 73 - 29).\nAnswer: 4320*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 13*q - 10. Is 6 a factor of a(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/91 (b) 1 (c) -5 (d) 0.067\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3375)\/(-2625)*4*(-1)\/(-6).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-56)\/12)\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/6))**18\/(f*f**(4\/3))**(-4\/3))**14 assuming f is positive.\nAnswer: f**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/((-108)\/(-425000)))\/((-4)\/(-384)). What is u rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-10 - (-7 + 0))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 10*c**2 + 4*c - 27. What is the units digit of j(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -183*o + 3. Suppose 5*m + 19 = -3*l - 0, -3*l - 2*m - 13 = 0. Let z be v(l). Suppose -i - z = -5*c - 0*i, 5*i - 15 = 0. List the prime factors of c.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8464 - 24*l + 213*l + 16*l + 163*l + 4*l**2 = 0. Calculate l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**4\/6 - m**2 + 8*m. Suppose -8*v = 14 + 2. Let u be j(v). Solve 0*z + 5*z - 15 = 5*a, 4*z = -2*a - u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 10. Let b(l) = 3*l - 9. Let k(n) = -5*b(n) - 4*x(n). Let c be k(2). Let z = -1.4 - -1.4. Which is greater: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 339 + 186. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797524.\nAnswer: 2, 7, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -339215*y**5 + 23984*y**2 - 2.\nAnswer: -20352900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -0*b - 5*b, 0 = -2*d + 2*b. Suppose -3*g + d*g = 186. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146 times -295.2989\nAnswer: -43113.6394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-54))\/((-2)\/(-18)). Suppose 3*t + 1077 = a*p, -4*p - 3*t - 474 = -2583. List the prime factors of p.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 > 432\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.844 rounded to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -5, -6, -7?\n\"Answer: -b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 91.458723 to 1 dp.\nAnswer: 91.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1907 - -1906.99998256. Round k to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 937752, 937660, 937568, 937476, 937384, 937292?\nAnswer: 937200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/20*-2)\/(40\/(-250)). What is the third biggest value in b, 20, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h - 3*h + 5*h)*(-4*h + 4*h + 2*h + (-2 - 3 + 3)*(0*h + 0*h + 2*h) - 847 - 132*h + 259*h - 126*h) as r*h**2 + o + i*h and give i.\nAnswer: 1694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -c + 26*b, -25*c + 26*c - 9 = 3*b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5 + 18*s**4 - 9483*s**3 - 689372*s**2 - 17842044*s - 161053920 = 0. What is s?\nAnswer: -43, -34, -27, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458, -504, -564, -644, -750?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 38*o**3 + 17*o - 4. List the prime factors of r(7).\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 + 0)\/(-2))\/2. Suppose -b - 3*b + 20 = y. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-10)\/2280*12).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10*m - 7*m - 1771600 = 0, 4*a - 3543134 = 5*m. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31870612 and 33344?\nAnswer: 2084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.543 - 8.6. Let s = q - 2.943. What is the second biggest value in s, -0.3, 4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55537\/205233 + 84\/337. What is the common denominator of -4\/957 and u?\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1759, -3491, -5171, -6769, -8255, -9599, -10771?\n\"Answer: 5*w**3 - 4*w**2 - 1755*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 4*z + 12. Let t be l(2). Suppose 3*k - 189 = -t*k. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1138 = -10*r + 8*r, -2*r + 5*f + 1162 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -875620?\nAnswer: -875625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.18, -0.2 in increasing order.\nAnswer: -0.2, 0.18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/29)*r**(-1\/10))\/(r\/(r*r\/r**(1\/2)))**(12\/17) assuming r is positive.\nAnswer: r**(1587\/4930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67136397.\nAnswer: 3, 22378799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 15 = -r, -2*p - 12 = -4*r + 8. Suppose 4*t + 17 = -47. Let h = t - p. Solve -5*q + h = -1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 274\/16 - 13\/104. Let t = v - 1. What is the remainder when t is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -4*o - 561. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from maooamaa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69736*k**2*z**2 - 18402*k**2*z + 3*z wrt z.\nAnswer: 139472*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7667 - 11799. Is (42\/4)\/((-6)\/o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -70, -88, -104, -118?\n\"Answer: o**2 - 21*o - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*4\/6*-3. Let j be (-4)\/14 + (-68)\/7. Let v = i - j. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*c - 54*c - 5644 = 2740 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 79.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 14*s**2 - 344*s + 169*s - 2*s**4 + 178*s wrt s.\nAnswer: -24*s**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/35, 24, -4, 2?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i + 2*i - 13*i + 5*i. Let m(y) = 10*y - 12. Let q(w) = -w + 1. Let n(r) = m(r) + 12*q(r). What is c(n(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -6. Suppose -2*a + 5 = -q. Let n(z) = 3*z - 5. Is n(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 4. Let m be j(5). Suppose 34 = -99*d + 82*d. Let t be m - (9\/d)\/((-6)\/(-8)). Solve 0 = -5*u - 4*y - 4, 2 = t*u + y + 18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2 - 14213*g + 40975860 = 0. Calculate g.\nAnswer: 4020, 10193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/72*(-9)\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 496 and 2048?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is c599b3 (base 15) in base 9?\nAnswer: 18613806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 5, -479, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/68 and -28\/2193.\nAnswer: 8772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297\/2461 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m - 71 + 803*m**3 + 2722*m**3 - 618*m**3 + 604*m**3 - 2*m wrt m?\nAnswer: 21066*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -38514285\nAnswer: -2\/38514285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - 15 - -24 - 1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4402151.34 to the nearest ten thousand.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3927 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3. Let q(v) = v**2 + v. Let o be q(-3). Let u(y) = 7*y**3 + 1. Give o*s(d) - u(d).\nAnswer: -d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -47*g - 9343. Let h(y) = -126*y - 28032. Determine -3*h(q) + 8*r(q).\nAnswer: 2*q + 9352","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-1170)\/(-81))*37\/111?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171935.1 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/h)\/h)**(1\/3)*h\/(h**(-2\/3)*h)*h**2*h*(((h*(h**(2\/3)*h)\/h*h*h*h)\/h)**(-1\/31))**28 assuming h is positive.\nAnswer: h**(2\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22 and -43\/163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:58 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 39640\nAnswer: 1\/7928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 7*k - 2. Suppose -3*d = k*y - 9, -y = 3*d + d - 12. Let n be 2 - (3 - (d - -273)). Calculate the highest common factor of 25 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, -2, 2\/19, 1\/756326?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 398*a + 55. Let w be k(0). Solve 0 = 66*i - 77*i - w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, o: 7, n: 1}. What is prob of sequence wwnw?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 101523*f + 827398*f.\nAnswer: 928921*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 259*v**2 + 34*v + 13. Determine m(3).\nAnswer: 2446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1\/4, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**14*f*f*f)\/f*f*f)\/((f*(((f*f\/(f\/f**(-1)*f*f*f))\/f*f)\/f)\/f)\/f) assuming f is positive.\nAnswer: f**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) 745 (b) -3 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2. Let y(l) = 0*l + 0*l + 5*l + l. Calculate q(y(n)).\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48049*r = 48050*r + 3*q - 25, 0 = 15*r + 4*q - 170 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3194*m**2 + 129*m - 891. Is u(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-252)\/(-20) - 2\/(-5). What is the least common multiple of 9 and 3\/(-2) - r\/(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 - 9*c + 28. Let f(o) = 14*o**2 - 27*o + 84. Let j(n) = 17*b(n) - 6*f(n). What is the tens digit of j(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104480 and 2113108.\nAnswer: 2612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:33 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/792 and -181\/107640.\nAnswer: 1184040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 31. Let n = f - -11.7. Let q = n + 8. Round q to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 12) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muu when three letters picked without replacement from {u: 6, m: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-4)*3 - -3. Suppose -4*j + 2*j + 6 = g. Suppose 0 = -2*a + 3*q + 23, -7*a + 53 = -5*a + j*q. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 284.5 and 5447.\nAnswer: 5731.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 8.4. Round s to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 3, -294, 678?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**3 + 5*q**3 - 13*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/(-5))\/(50124\/(-10020) - -5)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppbb when four letters picked without replacement from {q: 4, i: 4, n: 2, b: 6, p: 3, l: 1}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**3 + 1194*m**2 + 100373*m = 0?\nAnswer: -1103, -91, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -410*l**2 + 3706*l + 12. Calculate y(9).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (17\/(-2))\/(2\/(-4)). Let l = o + -29. Let q be -5 - l - (1 + -1). Calculate the greatest common divisor of q and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.5 + -35.2. Let d = 14 + h. Which is the third smallest value? (a) 5 (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.8+-1298\nAnswer: -1310.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 3*l + l - l. Let o = 381 - 376. Let z(q) = -o*q + 21*q - 7*q + 2 - 8*q + 5*q. Calculate 5*b(g) - z(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 + 0)*-1)\/(-1). Let o be ((-4)\/(-8))\/(2\/4). Let q be 1 - (l - o\/2). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 3. Let c be (-6)\/10 - q\/40. Let a = 0.9 + 3.1. What is the biggest value in -0.4, a, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.307858 and -1727.\nAnswer: -1726.692142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -96784475 times 0.4\nAnswer: -38713790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 97 = 183. Let j be 8*5\/u*-7. Put j, 3, 2 in ascending order.\nAnswer: 2, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**3 + 3*x**2 - 4*x + 4. Let l(j) = 2*j**3 - j**2 + j - 1. Let n(p) = h(p) + 4*l(p). Give n(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -4.282739.\nAnswer: -89.937519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20068 by -5017.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3952877l to millilitres.\nAnswer: 395.2877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (-2542)\/(-124))\/7?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30645000 to the nearest 100000.\nAnswer: -30600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 61222803\nAnswer: 1\/20407601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 27*i**2 - 98*i + 592. Is 7 a factor of t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131 - 2*n**2 + 1966*n - 1966*n.\nAnswer: -2*n**2 + 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y**2 - 17*y + 17. Let k(w) = -3*w**2 + 6*w - 6. Let d(n) = 3*a(n) + 8*k(n). What is the remainder when 35 is divided by d(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19363877*k**4 - 53692438*k wrt k?\nAnswer: 232366524*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*x = 1311*x - 397*x - 24780 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.61 to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2528.1 + -0.6\nAnswer: 2527.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -645 + 645. Suppose o = -12*h + 20*h - 2432. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1546 greater than or equal to 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.97 * -163.\nAnswer: 2277.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5114 - -5119. Let o = -10\/33 - -4\/33. Sort o, -1\/10, r, -2\/5.\nAnswer: -2\/5, o, -1\/10, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/9*21\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14672, 14649, 14626, 14603?\n\"Answer: -23*i + 14695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/6)\/5*(-9 + 27 + -23)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -22*f + 16549. List the prime factors of f.\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 713*p + 18615. What is v(-26)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*t - 26 = 2*t, -28 = -4*z + 4*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwlllllwl. What is prob of picking 3 l?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 - -8 - 6 - -11)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -135234 divided by 88?\nAnswer: -6147\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2967.757 years?\nAnswer: 2.967757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8605, -5626, -2647, 332, 3311, 6290?\n\"Answer: 2979*b - 11584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 3961*p**2 - 21*p - 1 + 8 - 11*p.\nAnswer: 3961*p**2 - 25*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111658891 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s + 9690 = 259*s + 48*s for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idiomodddtttmct. What is prob of sequence mti?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 66728\/7 smaller than 9533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2 = 3*m, 0 = -0*j + j + 3*m + 5. Let p be j\/(-3) - (-3)\/9. Solve -l = -p*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 10:02 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -69*b**2 - 2*b + 3. Let w be z(2). Let l = w + -174. Let a = -228 - l. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-2\/7)*o*o))\/o)\/o**(-9) assuming o is positive.\nAnswer: o**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 8:58 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 944544?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1 - 2) + (-45 - (8 - 19)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 - 7*f**3 + f**2 - 2 - 3*f**2 + 5*f**3 + f**2 to the form k + q*f**2 + z*f**3 + v*f**4 + h*f and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -141, -9 in increasing order.\nAnswer: -141, -9, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9 - k**3 - 9*k**2 - 4*k + 2*k - k**2 - 4*k. Let g be y(-9). Let p = g - -20. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -362 + 363. Let z be (5 - 1)\/(2\/3). Suppose -3*b = -b - z. Solve 5*h + 16 = 4*t, -4*t - b*h - q = -17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0.4 (c) 0.1 (d) 5 (e) -19317\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/3, 0.08, 149, 53?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/10*10*1\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6207245563 rounded to the nearest one hundred thousand?\nAnswer: 6207200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpegflf. Give prob of picking 1 e and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -30. Suppose -4*d + x + 2 = -j, d - 2 = 2*j. Sort -0.2, j, 0.4 in decreasing order.\nAnswer: j, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11+-4539.3054\nAnswer: -4539.1954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 184 = -3*h + 3*a, 130 = 2*h + 5*a. What is the highest common divisor of 90 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -55?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/63 of a week in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*a - 240, 0 = -a + 6*s - 4*s + 81. Let v = 77 - a. Put v, 2, 5 in descending order.\nAnswer: 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -438 - -440. Solve 3*r + 4*p - 3 = -1, -u*r - 4*p = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/3360 and -91\/384?\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38557.27ml to litres.\nAnswer: 38.55727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 89 + 906 = -4*n, 0 = n - 3*s + 260. Let t = n + 253. What is the lowest common multiple of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-2)\/8*-2. Let v = 7837.4 - 7838. Which is the nearest to 2\/7? (a) -0.3 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**2 - n - 4. Let l(z) be the second derivative of -z**4\/2 + z**3\/6 + 5*z**2\/2 + 82*z + 1. Calculate 5*h(t) + 4*l(t).\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6}. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - b - 1124 + 2249 - 1125.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13952407 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (3 - 7) + 8 - -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 1, u: 2, k: 1}. Give prob of sequence wu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p - 10 - 98*p**2 - 9*p + 20 - 12 - 5*p to b + y*p**2 + a*p and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = -4*j. Let g(a) = 3 + 3*a**2 - j*a - 3*a**2 + 5*a - a**3 - 2*a**2. Let f = -6 + 4. Calculate g(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151749 = -3*j + 2*q, 5*j + 5*q - 90050 = 162890. What are the prime factors of j?\nAnswer: 5, 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65*(57 + -4) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**(-18))\/a))\/a*a\/a**(1\/59))**(2\/67) assuming a is positive.\nAnswer: a**(2240\/3953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3312 + -11?\nAnswer: -3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 564.386 millimeters to micrometers.\nAnswer: 564386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*a**3 + 31*a**3 + 15*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 - 958\/9. Which is the closest to -2? (a) 2 (b) -1\/2 (c) r (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22819*-5\nAnswer: 1.14095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23711327.\nAnswer: 4507, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -1, 6 in increasing order.\nAnswer: -4, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2759*x**2 - 755*x**2 - 754*x**2 - 1270*x**2.\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkktkfkkkkkk. Give prob of sequence kkkf.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h**2 - h**3 - 4*h - 3*h**2 - 18*h**2 - 65 - h**3 + 16*h**2. What is the tens digit of c(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170712?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -128, -4 in descending order.\nAnswer: -4, -37, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26c (base 13) in base 11?\nAnswer: -35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**5 + 0 + 0)*(-137 - 275 + 110 + (-3 - 3 + 4)*(-1 - 1 + 0)).\nAnswer: -298*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*f + 90 = 0, 0 = -4*d - 5*f + 71 + 10. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3303727 and 203?\nAnswer: 95808083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h - p, -23 - 12 = -5*h + 5*p. Let q = 51 - 3. Let x be (-4)\/21*(-56)\/q. Sort -3\/7, h, x in decreasing order.\nAnswer: h, x, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.151 - 0.049. Let n = -118.4 + 118. Sort -1, -2\/11, p, n in ascending order.\nAnswer: -1, n, p, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(0 - 1\/(-2)). Let r = -5 - -9. Suppose 20 = 4*n + r*k, 3*k - 18 = 2*n - g*k. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11)\/(d\/d**(-2\/9)))**10*(d**1)**(-4\/5)*(d**(-1))**(2\/89) assuming d is positive.\nAnswer: d**(-654784\/44055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/12*((-726)\/(-33))\/(-1540).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 12. Let h(c) be the first derivative of 0*c**i - 2 + 1\/3*c**3 + 2*c. What is the first derivative of h(z) wrt z?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20 - 22*f + 59 + 26 - f**2 + 7 wrt f?\nAnswer: -2*f - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x**2 + 125 - 126 - 54*x + 54*x - 4*x**2.\nAnswer: 20*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1672 or -844?\nAnswer: -844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 6 + 6)*(-3*o - o + o)*(-9*o - 22 + 22) + (o - 2*o - 10*o)*(-3 - 2 + 4)*(4*o + 6*o - 8*o) to y*o + v*o**2 + m and give v.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 2*z - 8. Let y be h(-8). What is the tens digit of (y\/(-12))\/(2\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -31*o**5\/10 + 13*o**3\/3 + o. Find the second derivative of a(q) wrt q.\nAnswer: -372*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69147 divided by -13?\nAnswer: -5319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 80 - 69 = -5*m, 0 = 5*m - 2*a - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-9) - -6 - (0 - 2 - 11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(293 - 261)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u**2. Suppose c - 3*c + 4 = 0. Let j(p) = -3*p**2 - p**c + p**2. What is j(d(a))?\nAnswer: -147*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckrcxclkxk. What is prob of sequence kx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, i: 6, s: 1, u: 6}. Give prob of picking 2 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -6\/5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3672150.9240802964753 - 0.0759172035247. Let k = o - -3672181. Let d = -30 + k. What is d rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**4\/4 + 2*t**3 - 21*t**2\/2 - 12*t + 39. Calculate the remainder when v(-8) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 + 49 - 17) + -45?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 4. What is the common denominator of v\/(-17)*107\/(-4) and 8\/3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15)*20\/(-24).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52053823 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1335192 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (5 + 1 - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 91, 168, 245?\n\"Answer: 77*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -48, -74?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -123785476 and -2.\nAnswer: -123785478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5717305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -789162 * 3.\nAnswer: -2367486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1 + (sqrt(162) - (sqrt(162) + 1))))**2 - sqrt(162)*-1*-3*-5)*-3.\nAnswer: -405*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 5. Let n(a) = 2*a - 4. Let l(o) = 2*b(o) + 3*n(o). Let u(k) = k**3 + 3*k**2 + 2. Let j be u(-3). Determine l(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, -12\/5, -2, 2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 8 + 4 = -n, n = 4*c + 12. Let l be (-1)\/(0 + 1\/c). Factor -2*i**2 - 2*i + 3*i**3 + 2 + 0*i**3 - i**l.\nAnswer: 2*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -463659*i**2*t - 302725*i**2 wrt t.\nAnswer: -463659*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 v when four letters picked without replacement from {n: 2, z: 1, v: 6, w: 1, t: 2, l: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -211*f**8\/48 + 2171*f**5\/60 + 1649*f**2. Find the third derivative of g(i) wrt i.\nAnswer: -88620*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 106 - (12493 - 12699)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9136125?\nAnswer: 3, 5, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 0. Let x = 7 - u. Suppose 2*h + 0*h = -x*y + 22, -3*h - 23 = -4*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 1:46 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2938*v**3 - 76303*v**2 - 494312*v + 14365 = 0. What is v?\nAnswer: -13, 85\/2938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5)*-2)*2 - (sqrt(5) + sqrt(50)\/(2*sqrt(10))) - sqrt(30)\/(sqrt(6) - (sqrt(294)*3 - sqrt(6))).\nAnswer: -131*sqrt(5)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*6\/(-360))\/(1\/4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8227422 divided by -3841?\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3*19\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -195 + -16069. Let p = -260309\/16 - o. What is the common denominator of -109\/12 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**3 + 2*x - 2. Let c(d) = d**3 - d + 1. Suppose -n - 8 = -7. Calculate n*r(y) - 2*c(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -437647\/13 + 33702. Let c = -37 + u. Put -5, c, -4, -2 in increasing order.\nAnswer: -5, -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1168, -1728, -2288, -2848?\n\"Answer: -560*u - 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0 + 5\/48*w**4 - 1\/4*w**2 - 5\/24*w**3 + 7*w - 1\/40*w**6 + 1\/16*w**5. Find l such that r(l) = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -2*d**2 + 0*d**4 + 0*d**3 + 0 + 9*d - 2\/5*d**5. Differentiate m(j) wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*b + 11, 4*w + b = 2*b + 7. Let r(n) = -n**3 - 2*n**2 + 3*n - 4. Calculate the smallest common multiple of ((-16)\/12 - w)*-6 and r(-4).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16603294889 less than -35032?\nAnswer: -16603329921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 + t**2 - t**2 + (t**2 + 0*t**2 + t**2)*(0*t + t + t) + 2*t**3 + 5*t**2 - 5*t**2 - 2*t**3 + t - t to n*t**2 + v + g*t**3 + l*t and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-4\/13)*y**(5\/4) assuming y is positive.\nAnswer: y**(133\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9596742 or 0.04?\nAnswer: 9596742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 7. Let v(l) = -l**2 + 2*l - 14. Let i(h) = 6*s(h) + 3*v(h). Let b(m) be the first derivative of -3*m**2 - 2. Determine b(i(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c\/c**5)\/c)*c**4)\/((c\/c**(3\/7)*c)\/c*c*c**(-4))*((c**(1\/4))**(-44))**4 assuming c is positive.\nAnswer: c**(-228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 34*a**3 - 23*a**2 + 46*a - 12. What is the remainder when 7536 is divided by p(2)?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -15, -34, -61?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 31*k**2 + 244*k - 256. Calculate v(19).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25055 + 2?\nAnswer: 25101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -274.73 < 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4.7. Suppose -5*c - 6 + 31 = 0. Let v = -2.4 + 2.4. What is the nearest to v in 0, c, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 14) in base 12?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 2, -0.5, -3, 71?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**5\/60 + s**3\/6 - 4*s**2. Let h(q) = -8*q**2 - 10. Let f(x) = 2*h(x) + 18*r(x). What is the derivative of f(g) wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r - 1. Let y be (4 - 1)\/(-3) - -7. Let v(s) = 3*s - 8*s**2 + 13*s**2 - y*s**2 + s. Calculate 2*q(x) - 3*v(x).\nAnswer: 3*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 261, 392, 523, 654, 785?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131716 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3303122300 (base 5) to base 16\nAnswer: 6c1349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1052.67 times 364\nAnswer: 383171.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 6. Let c(b) = 4*b**2 + 7*b. Let v(m) = -m**2 - 2*m. What is y*c(p) - 14*v(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*m + 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 2*r - 2. Let k(t) = -2*t + 2. Let q(s) = -s + 1. Let b(j) = 3*k(j) - 5*q(j). Determine 3*b(x) + 2*l(x).\nAnswer: 2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 10:14 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 66 - 19 = -b, -2*b - 2*z + 134 = 0. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324858050 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 56, 101, 136, 155, 152?\n\"Answer: -d**3 + d**2 + 49*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -201242*327\nAnswer: -65806134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**7\/21 + 13*h**4\/6 + 4067*h**3\/6 + 11*h - 22. What is the second derivative of t(b) wrt b?\nAnswer: -40*b**3 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -307 + 1539\/5. What is c in 12\/5*c**2 + v*c**3 + 12\/5*c + 4\/5 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 24*w - 67. Let o be a(28). Calculate the greatest common factor of 75 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v**2 - 55*v + 7. Let z be n(-8). Let q be 5 + z\/((-3)\/(-15)). Solve 4*j - r + 8 = -5*r, -4*j - 2*r - 14 = q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2578492, -5156865, -7735238, -10313611, -12891984?\n\"Answer: -2578373*y - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + -2*(sqrt(108) + -1)))**2.\nAnswer: -24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*y - 23 = 0, 4*c - 4*y = -3*y + 19. Let a(k) = c + 0*k - 2*k - 3. Calculate the smallest common multiple of a(-4) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-21)*(-18)\/27.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 7:30 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 47*s - 126. Let h(y) = -y + 33. Let t be h(0). What is the greatest common divisor of s and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 12*u**2 - 38*u - 12. What is l(-11)?\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(156*50\/75)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = u + 9, 3*u + 3*i + 1 = -17. Let z be (1547\/u)\/((-2)\/2). Suppose 2*n = 5 - 3, -4*f - 3*n - z = 0. Round f to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76 + 3262*x**2 - 3258*x**2 - 34*x - 46*x.\nAnswer: 4*(x - 19)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/4)\/(((-10)\/4)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 2*m + 1. What is the units digit of y(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 32. Let h(d) = d**2 + 5*d + 4. Let z be h(-3). Let x = r + z. Solve -16 = x*s - s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9983\/650 + 257\/100. Is i greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -32 + (-376)\/(-12) + 2\/3. Which is the closest to 1? (a) 0.1 (b) p (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915*z - 27829 = 3281 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -21. Let s(f) = -4. Let u(a) = -5*s(a) + y(a). Let l = 36 - 32. Let h(d) = -2*d + 3. Give l*u(v) + h(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -4 + 0 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90163 is divided by 150.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(23\/(-6) + 4). Let n(c) be the first derivative of c**3\/3 + c**2 - 3*c + 6. What is the remainder when 62 is divided by n(y)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 4*q**2 - 4*q + 3. Let n be y(5). Let m = -5 + n. Suppose 5*f = -3*a + 104, m*a - 15 - 1 = -f. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 3*d - 6, -m + 7 = -2*d + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 19*d. Let f(y) be the second derivative of -y**4 + 37*y - 1. Give f(i(q)).\nAnswer: -4332*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*o**2 - 988*o**2 + 439*o**2.\nAnswer: -156*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -13, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 4:57 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 15*v**2 + 2*v - 4. Let i be (6\/4)\/((-10)\/20). Let r be y(i). Suppose -3*g - 8 = -r. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*p + 199*p + 255*p - 621*p + 243*p as s + x*p and give x.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - y**3 + 2*y**3)*(-2 - 3 + 0)*(1 - 4 + 2)*(6 - 7 + 79).\nAnswer: 780*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -5881?\nAnswer: 4\/5881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349 = -6*k + 35. Suppose y + 0*y - 14 = -s, -k = -5*s - 3*y. Let f(d) = 3*d - 7. Let t be f(4). Solve 3*x - 4*b + s = 0, -3*b - t - 8 = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51 or 8?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59824881*c**3 - 306934668*c wrt c.\nAnswer: -358949286*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n - 5. Let u be g(-4). Suppose -2*x - 9 = -u. Is x\/(-7) + 764\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-56*o**2 + 227 - 227)*(3 + 0 - 2)*(0 + 4 - 2) to b*o**2 + w*o + k and give b.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, 493432, 3 in descending order.\nAnswer: 493432, 3, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -11*i - 20 + 13*i + i**2 + 7*i. Let n be q(-12). Suppose 5 + n = u. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p - 17. Let f be g(-2). Suppose c + 3*j - 2 = 0, c = -c + j + 4. Put 0, c, 1, f in descending order.\nAnswer: f, c, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 11322101?\nAnswer: 11322101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250319454.\nAnswer: 2, 907, 689261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + (15 - 57) - (1 - (28 - 17))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5*(2 + sqrt(891)) + ((sqrt(891) - 1*sqrt(891)) + sqrt(891))*-6))**2*1*4.\nAnswer: -2880*sqrt(11) + 15856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3.8. Let r(t) = 2*t**2 + 3*t. Let v be r(-2). Suppose -z = 3 - v. Which is smaller: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2161619 - -13?\nAnswer: -2161606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 1. Let c(s) = -s**3 - 2*s**2 - s - 20. Let t(w) = 3*w**3 + 5*w**2 + w + 42. Let o(z) = 5*c(z) + 2*t(z). Calculate o(k) + 3*v(k).\nAnswer: k**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 21*d - 96*d**2 - 90*d**2 + 21 + 23*d + 183*d**2. Calculate j(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + -16)\/5 + 8. Find the second derivative of -4*m + 10*m - 6*m**o - 8*m**4 + 7*m wrt m.\nAnswer: -168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*q**2 - 5 + 2 + 2)*((0*q + 0*q + 2*q)*(2*q**2 - 3 + 3) + 183 - 183 - 4*q - 20*q**3).\nAnswer: 384*q**5 + 112*q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 2466522.75?\nAnswer: -246652.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/9 - -1. Suppose -4*a + 265 = -95. Let b be 4\/6 - 6\/a. What is the third biggest value in z, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from iizzzizzzziizizi.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 s when three letters picked without replacement from gogqssqgssr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 9*h = -13*h + 3, -32 = -4*u + 4*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 9*a**2 - 11*a - 10. What is f(4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -4 - ((-25)\/(-4))\/((-855)\/380)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(1\/11)))\/((x*x\/(x\/(x**14\/x)))\/x) assuming x is positive.\nAnswer: x**(-155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6504*b - 168. Let n(y) = y - 12. Calculate -28*n(x) + 2*u(x).\nAnswer: -13036*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1238871*h**4 - 8603380 with respect to h.\nAnswer: 4955484*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116\/10 + (-1120)\/700 and 268?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1 + -4)*3)\/(18\/(-12)). Suppose -g*b - 7*b + 702 = 0. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206696?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1196554 - 1196467.62064. Let p = g - -0.00064. Let n = 87 - p. Round n to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/2015 or 1?\nAnswer: 8\/2015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, p: 3}. Give prob of sequence px.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14*m + 2*m**2 + 0*m**2 + 9 - 23 + 0*m**2. Let g be k(8). Factor -3\/4*y**5 + 0 + 3\/4*y**3 - 3\/4*y**4 + 0*y + 3\/4*y**g.\nAnswer: -3*y**2*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1406\/190)\/37)\/(22\/(-4))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 - -94. What is the tens digit of (5 - (-4)\/(-20))*5 + q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**3 + 47*d**2\/2 + 18*d + 39. Let w be o(16). Let r(k) = 2*k**2 - 3*k + 3. Calculate r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-490)\/42)\/7*-2*195\/50?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) - (sqrt(110) - ((-6*sqrt(110)*1 - sqrt(110) - sqrt(110)) + sqrt(110) - sqrt(110)))))\/(sqrt(10) - sqrt(80)\/sqrt(2)))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from kkukrrk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 50*u**2. Let m(v) = v. Calculate q(m(f)).\nAnswer: 50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5071429 rounded to four dps?\nAnswer: 0.5071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 135 = -42*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, 4, -5, -18, -35, -56?\n\"Answer: -2*s**2 + s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109406415 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -1436431?\nAnswer: 1436416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, -5\/248, -5, -1, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 - 2. Let b(t) = -3*t + 2. Let f be b(0). Let c(r) = -7*r**3 - r - 5. Calculate f*c(w) - 5*h(w).\nAnswer: w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j - 67. Let p be q(-23). Suppose p + 6 = 4*v. Solve 0*k + v*k - 10 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-10)*(-5)\/3. Sort w, 5, 3, 2 in descending order.\nAnswer: 5, 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 413878613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 16434?\nAnswer: 32868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-77)\/(-15) - 8\/60. Solve -2*r = 5*z + 12, -4*z = -f*r + 33 + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*s + 12, -i = -5*s - 9 + 3. Let c be (0 - -3)\/(3\/i*-3). Solve 0 = -3*o - c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140594, -140652, -140710, -140768?\nAnswer: -140826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t - 3*t)*((-4*t + 0*t + 2*t)*(-3 - 1 + 2) - 5 + 5 + 2*t + 1 - 2*t - 1 + 1 + 2*t - 1 - 5*t + 6*t + 2*t + (3 + 0 - 5)*(-3*t - t + 8*t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21876 divided by 1049.\nAnswer: -21876\/1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.82 + -178.82. Which is greater: 0.2 or p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(48) + sqrt(3)) - (sqrt(11) + 1 + 3))**2.\nAnswer: 32*sqrt(11)\/5 + 576\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 785559.3 micrograms?\nAnswer: 0.0000007855593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4638.144 - -4710. Let q = -72 + u. What is q rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-38389\nAnswer: -38394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 0, -2, -5, 210, 4 in ascending order.\nAnswer: -5, -2, 0, 4, 25, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-37)\/3 + (-749 - 174)\/(-71). Factor 52\/3*s - y*s**2 - 50\/3.\nAnswer: -2*(s - 25)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 8:10 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4174, -2, -2\/30435?\nAnswer: -4174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 87 = -m, r = 4*m - 32 - 241. Suppose -j + m = 17. Suppose 0*x - j = -5*x. What is the highest common factor of 40 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-30)*620\/128. Let k = -5\/16 - t. Factor v**4 - 5\/3*v**2 - k*v + 2\/3 + 1\/3*v**3.\nAnswer: (v - 1)*(v + 1)**2*(3*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 1473*w**2 + 130785*w - 434. Determine r(-84).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 (base 12) in base 11?\nAnswer: -2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38859 - -38839. Let f(a) = -a**3 - 20*a**2 + a - 6. Determine f(s).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 558404 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -182 - -357. Let j = -58 + g. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*p**4 + 14*p**3 - 4*p**4 - 15*p**3 - 6*p + 2 + (p**3 + 0*p**3 + 0*p**3)*(-p + 0*p - 2*p).\nAnswer: 2*p**4 - p**3 - 6*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saa when three letters picked without replacement from saasaaaassaaaaaaaaa.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5085.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124*q**4 - 2*q**3 + 5*q**2 + 89 wrt q.\nAnswer: -2976*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 = 2*x - 4, 2*x - 2*v - 8 = 0. Suppose 12 + 3 = x*i, 3*r = 2*i. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 2. Suppose 5*i - 2 - 8 = 5*o, 3*i + 2*o = -19. Determine x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132103142 (base 5) to base 3\nAnswer: -1020112001221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 71?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 21. Let k be 2\/(-10) + (-1)\/z. Suppose k*j + 5*j - 40 = 0. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 133, -21.9, -0.3?\nAnswer: -21.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -6. Let i = 1 + b. Calculate the remainder when 4\/8*29*i is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38580180 to the power of 1\/2, to the nearest integer?\nAnswer: 6211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12346*b**2 + 6865.\nAnswer: 24692*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101 (base 3) to base 5.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18547 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 - -0.7616041.\nAnswer: -49.2383959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273474514.\nAnswer: 2, 136737257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 293.3 - 293. Put -36, 3, x in increasing order.\nAnswer: -36, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 282*r**5 + 195140*r**4 + 967030*r**3 + 761180*r**2 - 10992*r = 0.\nAnswer: -687, -4, -1, 0, 2\/141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 84294990 = -5*c, c - 7*j - 16859025 = -2*j. What is c rounded to the nearest one hundred thousand?\nAnswer: 16900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 3*a - 5. What is the tens digit of h(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 46 = -a. Let o be a\/(-21) - (-111)\/21. Let y = -13 - -32. Solve -y = -o*g + 5*u + 6, -u - 5 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**7\/10 - 13*l**4\/12 - 3412*l**3\/3 + 1510*l**2 + l. Differentiate y(a) wrt a.\nAnswer: -84*a**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14472360607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*o - 0 - 23, 0 = -4*o - 20. Calculate the highest common factor of j and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2879185*l**3 - 49*l**2 + 85995.\nAnswer: -17275110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - k - 14. Let u be d(-3). Solve -5*n = 2*w + u, 3*w - 13 = -3*n - 37 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.96 - 0.16. Let s = -1 + m. Let x be (-2)\/(-3) + 4\/(-5). What is the third smallest value in x, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3*(12 - 9). Let j = 8 + -6. Suppose -l + j = -0*l. Solve k = c*p + 2*k + 10, -5*k - 2 = -l*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37, 70, 103, 136, 169, 202?\n\"Answer: 33*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 120440?\nAnswer: 120440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*g + 4*i, -2*g - 3 = i - 37. Calculate the highest common factor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 13*j - 18*j - 1, 4*j = 2*z - 14. Let r(b) = -13*b**3 - 2*b**2 - 4*b - 5. What is the least common multiple of 121 and r(j)?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6\/x*x**(-2)*x*x*x\/x**7*x*x**(1\/3) assuming x is positive.\nAnswer: x**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6.37107 (b) 0.5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzj when three letters picked without replacement from ojz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5697310 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*g + 2*g**2 - 29*g - 58*g + 74*g**3 - 26*g**3.\nAnswer: 48*g**3 + 2*g**2 + 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/4*2)\/(-1). Put i, -3, -4 in increasing order.\nAnswer: i, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 3 + 10 - 3 - 4 + 2 as s*x + b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8 - 1\/4. Let m = 9 - 6. Suppose m*f + 5 = -4*h, -f + 4*h = 3*h - 3. Which is greater: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2 - 42465318*r + 450825808210281 = 0. What is r?\nAnswer: 21232659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x - 5. Let m(d) = 10*d - 10. Let q(o) = 5*c(o) - 3*m(o). Let f(t) = -16*t + 16. Determine -3*f(k) + 10*q(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -0.4 (b) -0.5 (c) -18\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 1)*(-3*f - f - 6*f).\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -953c - 159bc?\nAnswer: -2222b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**3\/3 + 6*z**2 + 3*z + 3. Let i be x(11). Solve 5*p + 3*g - i = 0, 4*p - 3*g + 6 = 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 28*j**2. Let s(d) = -8*d**2 - 848*d + 1715*d - 867*d. Calculate i(s(v)).\nAnswer: 1792*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 16) to base 7.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 25 = -87. Let s be 4\/(t\/6)*(-5)\/(-15). Let n = -4.5 + -0.5. What is the closest to -1\/2 in n, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15026, -15008, -14976, -14924, -14846?\n\"Answer: s**3 + s**2 + 8*s - 15036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8474.324 kilograms in tonnes?\nAnswer: 8.474324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-4 - 6) - -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -604 + 1849. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140729124.\nAnswer: 2, 3, 19, 617233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1668 - -3725. Suppose -i = -12*r + 2407. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -8458*u + 8479*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (102\/136)\/((-10)\/(-4) + -2). Which is the second biggest value? (a) -13 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3 = 1. Let u = -5 + 5. What is the nearest to 0 in -3, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28826064*o**2 - 15*o + 169439 wrt o.\nAnswer: 57652128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3451 and 1?\nAnswer: -3451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 0.00317?\nAnswer: 0.49683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*m = 21*m + 74 - 3044 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3471, -3.\nAnswer: -3, 4, 3471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 284, -1, 0 in decreasing order.\nAnswer: 284, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6347730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 9*y**2 - 9*y - 5. Let a(u) = -845*u + 3 + 424*u - 4*u**2 + 426*u. Give 5*a(n) + 3*p(n).\nAnswer: 7*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 103 = -2*i. Calculate the highest common divisor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0563218 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 175\/2508 and -1\/165?\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1344, 10807, 36494, 86517, 168988, 292019, 463722?\nAnswer: 692209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -292 - -687. Let u = -14 + b. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.5 + 4.499656. Round x to five decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92\/7 - 261\/14. Suppose -3*p = -7*i + 3*i - 69, -4*i = -p + 71. Let h be 94\/i - ((-50)\/(-18) - 3). Is v greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(8\/5))**(1\/7) assuming x is positive.\nAnswer: x**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3*h*p*y + 812*f**3*h*y**2 - 5*f**3*p*y - 4*f**3*p + f**3*y**2 + 117*f**2*p*y + 3*f*p*y**2 + 2*f with respect to h.\nAnswer: f**3*p*y + 812*f**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 8*s**2 + 10*s - 6. Let i be l(-9). Let u be (50\/i)\/((-2)\/12). Suppose -x + u + 3 = 0. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 - 5 = j, 0 = 5*f + 15. Let m be (j - 4)\/(1\/(-4)). Let x be -6 + 10 + -10 + 3. Let v(w) = -2*w + 3. Let u(k) = -3*k + 4. Give m*v(a) + x*u(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36988?\nAnswer: 2, 7, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -401 - -239. Let l be 3884\/18 + (-36)\/a. Suppose l = c - 131. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -350, -255, -108, 79, 294, 525, 760, 987?\nAnswer: 1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10197 and 35123.\nAnswer: 316107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 7375557.\nAnswer: 22126671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1307\/15 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + 6*2*sqrt(1008) + -5)**2.\nAnswer: -2880*sqrt(7) + 145252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2883 and -5.\nAnswer: 1.4415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/15)\/((21\/100)\/((-609)\/1624))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 45*c - 81. Calculate the smallest common multiple of 81 and s(3).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -53.07. Let f = a - 0.07. Put 0, 2\/11, 3\/8, f in descending order.\nAnswer: f, 3\/8, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 + 304*x - 2. Let f(y) = -16*y**2 + 910*y - 6. Give 3*f(i) - 10*u(i).\nAnswer: 2*i**2 - 310*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.613039ns in weeks?\nAnswer: 0.0000000000004408284375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.92 (b) -2\/11 (c) 2 (d) -297 (e) 5\/3 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -56.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 228.2 + -233.2. Which is the biggest value? (a) 5 (b) 1 (c) l (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.09 at most -908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - x - 1764 = -5*b, 5*b + 5*x - 4425 = 0. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, j: 2, m: 4, k: 2}. Give prob of picking 1 i, 1 k, 1 j, and 1 m.\nAnswer: 64\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/50)\/((567\/(-45))\/(-9))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.9. Let p = -0.4 - -0.46. Let s = 0.24 + p. What is the second smallest value in i, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -4\/9, -1\/5, 6607, 7, 1\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 5*w**4 + 0*w + (7*w + 0*w - 2*w)*(w**2 + w**3 - w**2).\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0371022165 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 11664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 223245, 223282, 223319, 223356, 223393, 223430?\n\"Answer: 37*v + 223208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(2 + 12 - 11 - 71*p).\nAnswer: 71*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -9446\/12175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4334?\nAnswer: 2, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21, 3\/2 in ascending order.\nAnswer: -5, 3\/2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*g + 314*g - 115*g + 20 - 71*g.\nAnswer: -g + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/7)*n*n*n**(-5))\/(n**(-1\/4)\/n**0))**(-25\/6) assuming n is positive.\nAnswer: n**(1325\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**4 - 43*i - i**3 - 23 - 7*i**4 - 3*i**2 + 45*i + i**4 as s*i**2 + c*i**3 + n + v*i**4 + w*i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + 107. Solve -b + 144 = -7*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -3. Let p(d) = d**3 + 4*d**2 + d - 2. What is the units digit of p(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-58 - -39) + (1 - (4 - 10 - -4))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/39 - 68\/195. Let t(r) = r**2 + 4*r. Suppose 2*x = -4*u, -4*x + 0*x - 14 = u. Let m be t(x). Which is bigger: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + g + 132. Let j be n(0). Let d be j\/16 - (-1)\/(-4). Suppose -m = 3*m + d. Let u(k) = k + 1. Calculate u(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 2\/7 (c) 0.1499\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 9*l**2 - 2*l + 9. Let p be c(9). Let w(n) = -n**2 - 11*n - 12. List the prime factors of w(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -91 (b) 3 (c) -2 (d) -1 (e) 4 (f) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 25. Solve 5*x = -7 + p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2983?\nAnswer: 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 48 = -5*j. Let x be 24\/(-20) - 620\/(-100). Sort x, 4, j.\nAnswer: j, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1092263*-0.5\nAnswer: 546131.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 5*u**2 - 4*u + 6. Calculate h(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*c + 21, -x + 25 - 2 = 4*c. What is the remainder when 9 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 2\/(-1) - 2. Let k(r) = -r**2 + 0*r**2 + 0*r**2. Let z(f) = -6*f**2. Let g(a) = m*z(a) - 22*k(a). Let c(p) = p**2. Determine c(g(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q = -38*q - 20. Suppose q*f = 58 + 12. Is f greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 4172*j - 24982. Calculate b(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 4 (b) -0.5 (c) -1\/6 (d) -12.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7843 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46590950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 - -41. Let c = -41 - k. Suppose -2*b - 4*h + 8*h + 448 = c, -2*b - 3*h = -448. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3626209445?\nAnswer: 5, 29, 1409, 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**5\/20 - 5*o**4\/4 - 7*o**3\/3 - 21*o**2\/2 + 10*o. What is the units digit of j(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -3*b - 6, 15 = -4*b + 7 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2850 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 26. Let c be (-1 - -3)*(161\/2)\/7. Let d be j(c). What is the closest to 0.2 in -5, 4\/3, d?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 4*b**2 + 5. Let t(q) = q**2 - 14*q - 2. Let g be t(14). Let u be c(g). Suppose -1 + 17 = 3*l + 4*s, s = -l + u. Solve l = -z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 - 146 = 37*h + 58 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 0 + 73\/(1241\/51)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -1\/6*b**3 + 4 + 0*b**2 - 5*b. Let d(t) be the first derivative of l(t). Let k(x) = 6*x. Calculate k(d(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 263*o*q*x**2 - 48*o*q*x - o*q - 2*o*x**2 - 2*q*x**2 + q*x - 40*q - 2*x**2 wrt x.\nAnswer: 526*o*q - 4*o - 4*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 2*a**2 + 49)*(310*a + 776*a - 636*a)*(1 + 2 + 0).\nAnswer: -2700*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2. Suppose 0 = -2*t + 4*p + 26, 0 = -5*t - 2*p + 3*p + 20. Let h(r) be the first derivative of 5*r**3 - 2*r**3 - 5*r**t - 28. Calculate h(w(i)).\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 17 = 2*k. Solve 10 = k*v + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 9*d + 13*d + 921980, 3*d - 461015 = j. What is j rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 12 + 138. Find the common denominator of -1\/18 and ((-74)\/v)\/((-8)\/6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + 3 + -4 + (sqrt(81)\/sqrt(300))**2 + -3 + -2.\nAnswer: -573\/100 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -641*k**2. Let t(h) be the first derivative of -2*h**3\/3 + 105. What is d(t(o))?\nAnswer: -2564*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/120 - z**5\/12 + z**4\/4 - z**3\/3 + 44*z**2. Determine u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 4, -2 in decreasing order.\nAnswer: 4, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-2 + (sqrt(272) + 0 - sqrt(272)) + 2 + -5 + 0 + sqrt(272) + 6*(sqrt(272) + -1 - sqrt(272)))*1 + 0))**2.\nAnswer: -1408*sqrt(17) + 6288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 10 = 0, -36*o - 60 + 38 = -2*v + 180 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:54 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 40 + (-1 - -3). Let b = 0 - l. Let k = -121\/3 - b. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**3 + 7*v + 7. Suppose -16*c - 120 = -18*c. Let t = 74 - c. Let r(w) = -w**3 - w - 1. Calculate t*r(m) + 2*h(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9045\/405)\/((-2)\/3))\/((-99)\/(-198))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 768800 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237828002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -63944.6 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Suppose -s = -p, 6 - 21 = -3*x - 3*s. Let w be x - 0 - (-2 - 0). Solve 0 = m + 3*h - 5 - w, -h - 2 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvvn when four letters picked without replacement from vnvnnnb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2585 (b) -4 (c) 2\/3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 41*n**3\/6 - 11*n. Let f(u) = 3*u**2 - 5. Let o(s) = -2*s**2 + 4. Let h(p) = -4*f(p) - 5*o(p). What is m(h(x))?\nAnswer: -82*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**2 - 94*p + 413. Let l be v(5). Solve 44*g = l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.8 - -2.5. What is the smallest value in x, -1\/6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/1)\/((-2)\/(-250)*5). Solve m = j + 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8274*b - 2320*b + 1433*b.\nAnswer: -9161*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 - (-102 + 103 - -165).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2096142392 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, -14, -5 in descending order.\nAnswer: 3, -5, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171897 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -57*d - 78. Calculate the smallest common multiple of 42 and u(-2).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let d be x\/7 - (-2)\/(-56). Is 1 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvg when three letters picked without replacement from {p: 12, g: 3, v: 2, o: 1, t: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 0 - -6079 - (28\/(-4) + 16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 5, 4, 56, 47 in ascending order.\nAnswer: 4, 5, 21, 47, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8593, -16432, -23517, -29848?\n\"Answer: 377*k**2 - 8970*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 64180672 divided by -33994\nAnswer: -1888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18522 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 5*w + 1996239, -8*g + 5*g + 1996257 = 2*w. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 + -181. Let c = 72 + t. Calculate the greatest common divisor of 38 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1992 = 9*w - 1929 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a + 23. Suppose -26 - 16 = -6*k. Let p be z(k). Let f be ((-2)\/p)\/(-1 - 20\/(-18)). Is f less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 + i**2 - 13*i**2 + i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcc when three letters picked without replacement from {d: 2, c: 4, p: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2884 + 5049. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 10264626?\nAnswer: -10264632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.13188298 to 3 decimal places.\nAnswer: 1.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 166424 + 61624. Suppose 3*r = 3*h - k, 2*h + r - 18995 = 6*r. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-495)\/10)*54\/24?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1280*w**3 - 160*w**2 + 3675*w - 2250.\nAnswer: -5*(w + 2)*(16*w - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -46297.418 to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 127*m - 134*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (48\/(-9) - 2)\/((-7)\/21). Let p be (-1 - 2)\/(2\/(-38)). Let j = p - n. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-4) - (-1)\/(-2). Suppose 0 = -o + 2*o - 3, 0 = -2*i - o + 5. Let g(x) = -x + 2*x + 2*x + i. What is g(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-8)*40\/(-3). Let p = 0 + g. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 165952?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -494908922 take away 75?\nAnswer: -494908997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 1376 = -1285 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 68 - 92)*(0 + 0 + 5*k + (-k + 4*k - 4*k)*(-1 - 1 + 3)).\nAnswer: -512*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 3}. Give prob of picking 3 e.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2728485 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/y**(-8))\/((y*y\/((((y\/(y*y**(-3\/8)*y))\/y*y)\/y)\/y))\/(y*y\/y**(-5\/6))) assuming y is positive.\nAnswer: y**(269\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 297870\/4867 and 61 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {m: 1, c: 4, o: 2, s: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.31768 + 0.3145512. What is x rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/11 and -31\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/6*(-78)\/65. Solve v = -4, g*q + 3*v = -11 + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h + 984 = 4*x, 4*h - 3*x - 956 = 0. Let k = h - 211. Which is bigger: k or 30?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1453, -2902, -4351, -5800?\nAnswer: -7249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 1\/254, 2\/3.\nAnswer: 0, 1\/254, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003857 to 7 decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 4*j - 24, -3*j - 2*f + 30 = 12 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78479, 2\/3, 1477 in descending order.\nAnswer: 78479, 1477, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, 375053, 4 in decreasing order.\nAnswer: 375053, 114, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46560 and 10573.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 72 = -222. Let m = 42 - x. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 48*d + 5. Let r be k(11). Calculate the highest common divisor of 41 and r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 11*k - 14*k + 21, 24 = 4*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -67\/2. Suppose 0 = 3*j - 6*j + 36. Let x be (-33)\/(-18) + 2\/j. Sort x, 0.4, z.\nAnswer: z, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 111 + (-100 - -61).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*s - 4*m, 7*s - 9*s - 4 = 4*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 20*u - 205. Solve u*y = -42 + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j. Let s(c) = 2*c - 135. What is s(l(y))?\nAnswer: 6*y - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2\/3 + 285862596*b - 30644033921947206 = 0.\nAnswer: 214396947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**4\/4 + 11*r**3\/3 - 15*r**2\/2 - 8*r + 20. Suppose 3*d + 57 = -4*s, -s + 4*d + 24 = -2*s. What is the tens digit of j(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2311 divided by 2311\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = 3*m. Let h be 55 - (m + 1)\/(-1). Let j = -15 - -20. What is the greatest common divisor of j and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53060 and 23877?\nAnswer: 477540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 16672?\nAnswer: 16672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9151.545 kilograms in milligrams?\nAnswer: 9151545000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 153410 - (4 + 9) - -10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 15) to base 11.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21123462*t**3 - 163997063*t**2.\nAnswer: 126740772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/(-4928)*-11*(202\/6 + -1)?\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18.3 (b) 0.15 (c) 1491\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1399, 1398, 1397, 1396, 1395?\n\"Answer: -u + 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/56 of a week in minutes?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7413813830.\nAnswer: 2, 5, 741381383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 + 24 = -20*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7637\/2 - 3838. Calculate the common denominator of 24\/323 and c.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 6*q**2 - 4*q - 5. What is x(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 170 = 3*j, 0 = -u - 3*j + 34. Suppose -23*h = -6*h + u. What is the tens digit of -5*(h + 80\/(-25))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (-41610)\/(-6270)*(-37)\/7.\nAnswer: 6\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 44610 and 44609 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.966, -9\/8, 664 in increasing order.\nAnswer: -1.966, -9\/8, 664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443681 is divided by 24646?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round -89.9 to 0 dps.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from pmq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -890 + 7389?\nAnswer: 6af9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-135)\/(-145) - 2 - -1. Let t = 1472\/319 + s. What is the common denominator of t and -32\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 2*v - 69, -c + 2*v = 3*c + 66. Let x(r) = 10 + r**3 - 32*r**2 - 7*r + 38*r**2 + 12 + 29*r**2. Is x(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -2*b. Let t be 1791990\/(-4) - 2\/b. Let o be 2\/(-7) + t\/7. Round o to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**6\/6 + 7*s**5 - 5*s**4\/4 - 215*s**3\/3 - 140*s**2 + 115*s - 5. What is z in h(z) = 0?\nAnswer: -28, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -23 (b) 1\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.09 + -0.46. Let u = 85.63 - d. Let x = u - 81. Which is the third smallest value? (a) x (b) 5 (c) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least -190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1864247148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/k**11*(k**(1\/5)\/k)**(-30))**(-3\/13) assuming k is positive.\nAnswer: k**(-18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 516104142 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 2. Let n(o) = 7*o + 10. Let b(z) = n(z) + 5*q(z). Let t(c) = 1 - 1 + 0 - 9*c. Give b(t(l)).\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11 - -1 - (-1204)\/120. Let m(n) be the third derivative of 0*n**4 - 7*n**2 + 0*n**3 - x*n**6 + 0 + 0*n + 0*n**5. Let m(f) = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129380.\nAnswer: 2, 5, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, -20, -77, -166, -287, -440, -625?\n\"Answer: -16*u**2 + 23*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eggmeeeggemg. What is prob of picking 4 e?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -3.183 (c) 0 (d) -31 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43419*h + 43420*h - 4 = -4*a + 2*a, 2*a + 5 = h + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t - 34. Determine k(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096520 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -15, -s + 2*w = -2*s + 10. Suppose s = -40*f + 42*f - 34. Calculate the remainder when 30 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Let a = -10 - -5. Sort a, 3, l in decreasing order.\nAnswer: l, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(2\/17)\/v)*v**(-1))**12\/((v\/(v*((v*v*v\/((v**0*v)\/v)*v)\/v)\/v)*v)**15*(v**2)**(-5\/9)) assuming v is positive.\nAnswer: v**(4085\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide ((-522)\/(-8))\/((-906)\/(-263344))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*g - 7, 2*n + 10 = -2*g + 6*g. Let y = n - 3. Let q = 3 - y. Solve 1 = -q*l - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228504 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h**3 - 20*h**3 + 92*h**3 - 33*h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50323149 + -50323117.000041. Let g = -122.12 + 90.12. Let l = a + g. Round l to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747090 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 1 + 5. Suppose 0*a + a = p. Let q be a + -4 + (0 - -2). Solve 2*h + 6 + q = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q + 17 = -15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 31*y - 1159. Calculate i(37).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*d + 13, -5*d + 2*y + 11 = -2*d. Let b be 1\/((-189)\/28 + d). Let s be 1 + 0 + (-2 - -1). Sort 5, b, s.\nAnswer: s, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 313. Let u = 296 - o. Solve -10 = -8*b + u*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -11*d + 63. Let f(q) = 5*q**2 + 9*q - 4*q - q**2 - 1. What is the units digit of f(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - -53. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k + 6. Let l(y) = -y + 2. Let b(z) = -6*l(z) + 2*o(z). Let g(p) be the first derivative of 19*p**2\/2 + 137. Give b(g(d)).\nAnswer: -38*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 590317357 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*sqrt(1377)*-2*-2 - (5 + sqrt(1377) + 0)*-6)*-6 + 5)**2.\nAnswer: -4179600*sqrt(17) + 65400937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0 + 5 = -5*y, 0 = -4*y - s + 1. Suppose y = v - 8 - 4. Calculate the greatest common divisor of v and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1844\/221 = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/4*3 - (-4)\/8. Let u be ((-63)\/(-6))\/(-7) + l\/2. What is the lowest common multiple of 12 and (36\/u)\/(14\/35)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6870, -13735, -20600, -27465?\n\"Answer: -6865*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 18. Suppose -4*x + 16 = -4*z, -22 = 5*x - t. Let u be (-578)\/z - 3\/12. What is the greatest common divisor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017482183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -14*a - 53. What is the smallest common multiple of 75 and a?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8124 + 0.1\nAnswer: 8124.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27\/4 in -1\/9, -3.91, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(16\/3)*b**3*b**(-6\/11)*b**19 assuming b is positive.\nAnswer: b**(917\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 126753.\nAnswer: 126752.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846206?\nAnswer: 2, 423103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 6. Let a be w(-6). Suppose a = -4*v - 8, 6*h - 2*v + 11 = h. Let c = -3 - h. Solve b - 4*b = c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*r**5 + 202*r**4 + 318*r**3 + 222*r**2 + 58*r.\nAnswer: 2*r*(r + 1)**3*(24*r + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2878 is divided by 187.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (31 - (91 - 6)) + 46?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8026, -8025, -8024?\n\"Answer: c - 8027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*p*u**4 - p*u**3 - 3*p + 110*u**2 - 84 wrt u.\nAnswer: -28*p*u**3 - 3*p*u**2 + 220*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 2201*u**7\/70 - 4451*u**5\/60 - 5565*u**2. Find the third derivative of h(y) wrt y.\nAnswer: 158472*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a0499 (base 14) in base 7?\nAnswer: 3162452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 137674, 276104, 414534?\n\"Answer: 138430*p - 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from vslwcwclllcllsvllsss.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2856360 divided by 14648?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 2*w + 6*w + (0*w + 4*w + 0*w + (1 - 1 + 2)*(2*w + 3*w - 6*w) - 4*w + w + 5*w)*(-21 - 8 - 98) in the form k + c*w and give c.\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 + -3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/10*20\/5*-2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven quarters of a week?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 0.93678?\nAnswer: 0.63678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q + 56 = -88*q. Let r be -3*q\/(-12) + 83. What is the greatest common factor of 108 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 9 - -8 - (4 - (-2 - 3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8244 and 150408.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 17302819.8 hours?\nAnswer: 102992.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 12. Suppose -4*q = -5*i - 3*q + 4, 0 = 2*q - 2. Let g(j) be the third derivative of -j**3\/6 + 2*j**2. Determine i*f(h) - 12*g(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -422*q - 3357. Let l be s(-8). Solve -a + 2*a = -5*o + l, -a - 9 = -2*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093880 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 222122 (base 6) in base 7?\nAnswer: 105206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552 divided by -4.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -815093 plus -63.325312?\nAnswer: -815156.325312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/5))**2)**(9\/8)\/((f**(-7\/2)*f)\/(f*f*f**(-6)\/f))**(-8\/3) assuming f is positive.\nAnswer: f**(589\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9840 divided by -4\nAnswer: 2460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.5, 0.12, 0.3, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000065455 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 4*b**2 - b**2 + (b**2 + 5*b**2 - 4*b**2)*(-22 + 6 - 10 + (4 - 1 - 4)*(2 - 2 + 2)).\nAnswer: -58*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-72))\/(2\/(-15) + 6\/(-30))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n**5 - 142*n**4 + 2*n**3 - 4*n**2 + 2*n?\nAnswer: 180*n**2 - 3408*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.4, -2, -4\/57, -0.824 in ascending order.\nAnswer: -3, -2, -0.824, -4\/57, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 0.23, -30445, -0.4 in increasing order.\nAnswer: -30445, -0.4, 0.05, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**3 - 8*w**3 - 5*w**3 - 4*w**3 + 15*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 250842227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1\/2, 12.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -13. Let n be (2 + k)\/(2\/2080). Round n to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390753524 rounded to the nearest 10000?\nAnswer: 390750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 4:50 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-924)\/(-8))*7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 4*p + 1. Let j be l(2). Suppose 8 = -4*c, z + j*c + 4 + 7 = 0. Let h = -23 + 21. Which is bigger: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30235 (base 13) in base 5?\nAnswer: -10223230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 12*b**2 - 1\/72*b**5 + 1\/80*b**6 + 1\/144*b**4 - 1\/180*b**7 + 0*b**3 + 0 + 0*b + 1\/1008*b**8. Solve q(p) = 0 for p.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 times -8254280?\nAnswer: -990513.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-12))\/(4\/(-456)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -279+0.5\nAnswer: -278.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 7. Let z be l(-3). Let u be (-1 - 3)*3\/(-4). Suppose -z = n - u. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -799 - -795.51. Let h = k + 0.49. Let g = 0 + 0.1. What is the closest to g in h, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 - 6*g**2 + 5*g**2)*(-6 + 6 + 2*g**3 + g**2).\nAnswer: -12*g**5 - 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*s - 126*s + 315 = 0. Is s less than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 9:24 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 1540 = -10*l. Calculate the smallest common multiple of l and 12.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 23*j**2 + 97*j - 657. Calculate p(11).\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) 12 (c) 0.1 (d) 5 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*p + 70. Let h be 3*(7 + -6) - (-10 - -3). Suppose 499 = -h*i - 211. Which is bigger: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 + 0*k**2 + 3*k**2 + (-1 + 1 - 2*k)*(-6*k + 5*k + 5*k).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2296 divided by -1?\nAnswer: 2296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - l = -2*l + 10, 6 = 4*t - 5*l. Let r be 2\/(-11) - (-460)\/110. What is the first derivative of -5*n**t + 1 + 1 + 7*n**r wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4900083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y + 5. Suppose 0*g = 12*g + 12. Let z be (-616)\/84 - g\/3. What is b(z)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/4 + (-208)\/(-2) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2870077*m - 1. Let w(p) = 2*p. Give w(f(j)).\nAnswer: -5740154*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1*u*u)**(-3\/41)\/(u**(-2\/9)\/u**(-4)))**(-27\/5) assuming u is positive.\nAnswer: u**(885\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1840143 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 31*v**3 + 4. Let r(n) = 32*n**3 + 5. Calculate -5*l(u) + 4*r(u).\nAnswer: -27*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1344934 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*p - 62 = -4*v, -84 = -2*v + 4*p. Let y be 8\/(-6)*(-434 + v). What is the highest common factor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23)\/(-7) - 3 - (-40)\/(-70). Let q be ((-12)\/40)\/(36\/(-15)). What is the biggest value in -3\/5, c, q, -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 1, 45, -85?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 11*g - 13. Let f be l(10). Suppose 3*x + 3*i = 30, -5*i + 4*i + 20 = 2*x. Let s = x + f. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-1)\/(-8))\/((-14)\/16).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 10:26 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 455, 1481, 3469, 6737?\nAnswer: 11603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.079 (b) -60\/7 (c) 0 (d) 35\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 1074 + 1355 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 2972257286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (2 + -2)) + 1. Suppose -5*j - i*p = -30, -3*p + 0 = -4*j - 3. Suppose -8 + 23 = j*s. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6166993 + 4.\nAnswer: 6166997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -4 - 0 - -7) + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2 - 13 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 3*t - 3*i, -2*t - 3*i + 20 = -41. Let c be (-136)\/(-16) - 9 - (-15)\/t. What is the nearest to c in 0.09, 5, 1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16884)\/(-84))\/((-30)\/10)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -13*w**3 - 2*w**2 + 3*w + 2. Let m be t(-2). Let b = m + -89. Solve b*z - 8 = -5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51052 = 3881*b - 23208 - 272347 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/8 + (-4)\/16. Let t be -3*y*1\/10. Let j = 0 + -4. Which is the closest to 0.1? (a) t (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 387 and 77873?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 870489*m**5\/4 - 3480090*m**4 + 16509439*m**3 - 20749984*m**2 - 178832*m - 384 = 0. What is m?\nAnswer: -4\/933, 2, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-3*sqrt(420) + sqrt(420))\/sqrt(12))\/sqrt(7))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 0) + -1 + 8 + -2 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -176 + 176 + (-2 - -2 - (-8 - 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13dd4e (base 16) in base 12?\nAnswer: -529466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 4, l: 3, r: 2}. What is prob of picking 1 n and 2 h?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 152570*k - 1337. Is b(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56477000 to the nearest 100000.\nAnswer: 56500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 4, -2*s + 14 - 15 = q - 6*q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 + 55*d**2 - 29*d - 11. Let u = -463 + 435. What is the lowest common multiple of z(u) and 7?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(150)\/sqrt(2) - (sqrt(27)*1)\/sqrt(9))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2, 24, 1, 20, 3 in ascending order.\nAnswer: 1, 2, 3, 13, 20, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3985490 is divided by 453.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/24 - (-2)\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 4*y**2 + 6*y - 14. Let q be a(-7). Let c = -54 + q. Calculate the greatest common factor of 185 and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 84259873?\nAnswer: -337039492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-30)*2*15010\/21014*189\/10?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*u - 9*u + 10*u)*(1 + u - 1).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (216\/2 + 2)\/1. Let m = o + -92. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 0*3\/15. Suppose m*q + 2*q = 16449720. Let y = q - -4990056. Round y to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 3*r**2 - 10*r + 3. Calculate k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l - 7. Let i(u) = 51*u + 36. What is 4*i(f) + 21*j(f)?\nAnswer: -6*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/65 and (3360\/(-54))\/(-5)*(-9)\/60?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*d + 5*u, 5*d = -4*u - 35 + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 227*y - 226*y - 1793 = 0, 3*y - 3584 = -2*j. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/57)\/4 - 4150\/5700\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Let w = 15 - 11. Let t(b) = -3 + n*b + 0*b - w*b + b**2. Calculate t(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -14*q**2 - 122885*q + 245814. Calculate n(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15071 - -602723\/40. Calculate the common denominator of ((-42)\/(-110))\/3 - 114\/285 and y.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146345?\nAnswer: 5, 29269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + (-5 - (-3 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17351082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3348 and 21.\nAnswer: 23436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -398*y**2 - 5*y - 17942?\nAnswer: -796*y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/14429 and 31\/73198317.\nAnswer: 73198317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/810*11\/11.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 5*j - 5. Calculate m(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 55*h - 16. Give u(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -54, -82, -110, -138, -166?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1446 - 7266\/5. Let i = -31493\/8 + 3926. Find the common denominator of v and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177220544\/416 - (-1)\/3*(-21)\/(-91) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, -0.3, 20, 16 in increasing order.\nAnswer: -0.3, 16, 20, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.2 + 34. Let t = -7 - w. Which is the closest to -0.1? (a) t (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2930 = p + 824. What is the common denominator of (5\/6)\/((-13)\/(p\/(-24))) and 14\/29?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5551\/(-1586))\/(((-63)\/(-12))\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 9786.6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 136, 135, 134, 133?\n\"Answer: -c + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176996269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(2\/31)*o\/(o*(o\/(((o*o\/(o\/(o\/(o**23\/o)))*o)\/o)\/o*o)*o)\/o)*o*o\/o**17*o**(-2\/5)*o)**33 assuming o is positive.\nAnswer: o**(-170511\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-9) + 2\/(-3). Let p = -180 + 183. Suppose 0 = t + t - 4. Sort k, p, t in descending order.\nAnswer: p, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 142*d**4 - 2*d**2 + 233. Let x(i) = -141*i**4 + 3*i**2 - 233. Let f(h) = -3*c(h) - 2*x(h). What is the derivative of f(r) wrt r?\nAnswer: -576*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -6*n + 216. Calculate the remainder when n is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -693.47, 5, -1\/3, -2, -2\/37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2981.249228 to the nearest integer.\nAnswer: 2981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 35 = -f + 3*u, 4*u = -f - 10. Let w(q) = -18*q - 6. Let z be w(-2). Suppose 0 = -f*o + 4*o + z. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.9490813 minus -0.6?\nAnswer: 11.5490813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:15 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 750\/4 - (-55)\/22. Suppose -186*m + u*m = 116. Let k(i) = 231*i**3 + 2*i**2 - 2*i + 1. Let t be k(1). Calculate the greatest common factor of m and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 divided by -189?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38.18 + -849.32. What is n rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 74*u**2 + 782*u + 1734.\nAnswer: 2*(u + 3)*(u + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 2*q**2 - 17*q**2 - 9*q**2 + 8*q**2 + 2*q**2 + 1 - 1 - 3*q**2 + 6*q**2 + 3*q**2 + (3*q + 0*q - q)*(-2*q + 3*q + 0*q).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 3:01 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = 7*k - 2*k. Suppose 3*d + 6 = k, -2*q - 8*d = -3*d - 16. Solve -3*y + 25 = q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-6))\/(16*21\/896)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 2:01 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*k**3 + 4*k**3 - 40*k**3 - 5*k + k**3 + 5*k + (3 - 5 + 1)*(23 + 42*k**3 - 23) as z*k**3 + j*k + b + n*k**2 and give z.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1436151\nAnswer: -430845.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/36*-3*84\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 5*b**2 + 1. Let f be p(4). Let w be f + ((-2)\/3)\/(2\/3). Solve -4*d - m = -3*m, -w = 4*d + 2*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 29. Let w = -16 + y. Solve 0 = 4*s + w*i - 5*i + 24, 2*s + 2*i = 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 568619865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 0.1, 0.0877?\nAnswer: 0.0877","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*((-14)\/4 - -2). Suppose -f = 4*y + 25, 125*f + 23 = -3*y + 120*f. Calculate the smallest common multiple of 10 and (-12)\/y*q\/((-9)\/30).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24 from -18083.\nAnswer: -18107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 7*j - 6. Suppose -4*k = -18 - 14. Let x be f(k). Is x\/(((-6)\/13)\/(-3)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 - 337 + 156 - 14*b - 11*b.\nAnswer: -25*b - 338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2302624, 4605260, 6907896, 9210532, 11513168, 13815804?\n\"Answer: 2302636*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 8. Let i be l(-6). Let x(z) = -z**3 + z - 2. Determine x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/89, 6, -3, -5, -3\/7 in decreasing order.\nAnswer: 6, -3\/89, -3\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 76602 = -3*u, 0 = -16*u + 17*u - 5*j - 25542. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(24)\/sqrt(4)) + sqrt(21) + sqrt(21))\/(-4*sqrt(243)).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**4 - 45*s**3 - 1055*s.\nAnswer: 36*s**2 - 270*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**5\/20 + i**4\/2 + 7*i**3\/6 + 55*i**2\/2 + 50*i. Does 3 divide q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7175 = 438*b + 2369 + 1406 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a + 5. Let r = 1164 - 1165. Let l(c) = -c + 1. What is r*t(o) + 3*l(o)?\nAnswer: 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834 is divided by ((-2758)\/985)\/(2\/(-60))?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*p - 417175, 333744 = 4*n + 5*p - 9*p. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-2 + 3 + 0)*(335*a**2 + a**3 + a**3 - 307*a**2) - 4 + a**3 + 4 + (0*a**2 + 4*a**2 - 2*a**2)*(a - a - 3*a).\nAnswer: -3*a**3 + 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*10.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7210\/116763 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**4\/12 - 5*s**3\/6 + s**2\/2 + s. Let w(i) = i**2 + 2*i - 13. Let v be w(-5). Determine a(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-30)*-12*29685\/17811?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*t + 1945 = 238*t - 433*t + 397 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022445 to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 262677*j**2 - 470891 wrt j.\nAnswer: 525354*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 11278685.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 12*a - 3*u = -15 + 180, a - 3*a + 5*u = 2*a - 41 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4355718 + 176091*n + 4355718 - 176085*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 5 + 0 - (-2058 + 8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9790*f - 146856. What is o(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1284\/2607605 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -y + 21, 2*b + 2*y + 2 = 4. Suppose 0 = 2*r - 3*x - 20 - 43, -b*x = -15. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < -0.1478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 16*h = 3*y - 32, -y - h = 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = g - 38, 0*g - g + r + 38 = 0. Suppose -g + 13 = 5*y. Let d be 10 + (y - (-3 + 2)). Is d at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 9*m - 11*m - 9, 3*m = -5*t - 31. What is the third smallest value in t, -4, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 11*r + 23. Let d = -12 + 44. Calculate the remainder when d is divided by f(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1487 - 1497)*(7\/(-4) - (-3)\/(-12))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4*j + 492, -478 = -9*t + 5*t + 3*j. Suppose -793 = -3*z - t. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24552\/2244 - 11\/1.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25299, 50597, 75897, 101199?\nAnswer: 126503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28580 is divided by 170?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -178351, -5.\nAnswer: -178351, -55, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 2 + 2*x**2 - 6.\nAnswer: -2*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.924 times 2.3?\nAnswer: -2.1252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 294.31603 - -62.68251. Let w = -357 + g. What is w rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924446407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c - 64 = -4*l, -l = -c - 15. Suppose -3*w = 0, -2*n + 9*w + 190 = l*w. What is the smallest common multiple of n and 76?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -273 - -470. What is the remainder when b is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -41, 5\/2939, -0.2?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 9. Let m = -2 - -2. Suppose 0 = -j + x - m. What is the greatest common divisor of 18 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300122223 (base 5) to base 10\nAnswer: 1176563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 + 16*s - s**3 - 44*s + 24*s + 4. Let j be z(3). Calculate the highest common divisor of 110 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753849.\nAnswer: 3, 83761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -706*r**3 + 363*r**3 + r**2 - r**2 + 369*r**3.\nAnswer: 26*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h + 97. Let x(m) = 5*m + 98. Give -7*l(o) + 6*x(o).\nAnswer: 2*o - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1264*q**2 + 3786*q**2 - 1263*q**2 - 1257*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 - 23*t + 17. What is o(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5830349 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 c when four letters picked without replacement from cczzccczccz?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqrq. What is prob of sequence rr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 223.798113 milliseconds?\nAnswer: 0.0000003700365625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 9078289152?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 41 + 54 = -9*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2379622 - 1669622. What is o rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6138 and 3938?\nAnswer: 1098702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 158.\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29638 and 5162.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -3\/20*h**5 + 4*h**2 + 0*h + 1\/24*h**4 - 11\/6*h**3 + 0 + 1\/120*h**6. Let y be ((-18)\/(-8))\/((-3)\/(-12)). Give k(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 59, -5, -2, 2 in descending order.\nAnswer: 59, 2, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1643624966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5\/2 (b) 40 (c) -0.175 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 130318.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqzzwzszwzzq. Give prob of picking 1 w and 1 z.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62.5 + -62. Suppose -2*s - s - 3*n + 6 = 0, -4*s - 2 = 2*n. Let x be s\/(-2)*(-10)\/(-6). Sort 4, x, i in increasing order.\nAnswer: i, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003882 rounded to five dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 57*n + 137. Let u(t) = 11*t - 1. Determine -i(o) + 4*u(o).\nAnswer: -13*o - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/4)\/((-4517)\/452 - -10). Let m = -429 - j. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1673, 6052, 13351, 23570, 36709, 52768?\n\"Answer: 1460*f**2 - f + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*n = 129*n + 168. Let q be (2 - (n - -4))*-1. Let j(s) = -5*s**2 - s. Let a(w) = -10*w**2 - 2*w. Calculate q*j(t) + 2*a(t).\nAnswer: 5*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 7*s**3\/6 + s**2\/2 + 3*s - 5. Suppose 10 = -5*t + 20. Give x(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*((-1496)\/(-20) + 5). Let v = s - -401. Solve 0*b - 4*b - 2*t - 2 = 0, -3*t + 5 = v*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*n - b, -8*n = 3*b + 4 - 95. Let x = -5 - -27. Calculate the least common multiple of n and x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1946 - -1951. Let q = 3.45 + 0.55. What is the nearest to -3 in u, q, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 + 224*w - 1433. Calculate t(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6503199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)*-3 + sqrt(2100) + sqrt(2100)*1)\/((sqrt(28)*5 + sqrt(7))*-1).\nAnswer: -8*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 + 768 - 584 + 471 + 610 + 1020)*(-3*p**3 + 29*p**2 - 29*p**2).\nAnswer: -7062*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 11*p**2 + p - 46. What is the remainder when l(10) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143160 is divided by 9936?\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*m + 32 + 61 + 30*m - 78*m + 218*m.\nAnswer: 299*m + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114263645?\nAnswer: 5, 22852729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**3 + 28*n**2 + 11*n**3 + 22*n**3 + 28*n**2 wrt n.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -14.7. Let q = 4.9 + a. Let d = q - 4.19942. What is d rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n. Let v(x) = 30*x - 4. Let q(l) = l - 2. Let g be (-3*(-2 - -1))\/((-372)\/248). Let d(k) = g*q(k) + v(k). Determine d(b(y)).\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 8*y**2 - 8*y + 3. Determine h(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 10*g + 4*j = 3, -4*g + 4*j = 0. Suppose g*p + 204 = 1083. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4369481\/180 + -24275. What is the common denominator of h and (-7)\/8*(-135992)\/2674 + -19?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - (-4 + 3 + 3)) + 2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.8572 to the nearest integer.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 3.7, -1\/2, -4, -0.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.80318 - -0.19682. Let z = 16 - 28. Let f = 8 + z. Put f, 0.2, v, 4 in decreasing order.\nAnswer: v, 4, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 o when three letters picked without replacement from iggikiioidddijj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, -640, -2615, -4, -2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173 minus -16.775?\nAnswer: 2189.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-10*d + 0*d - 4*d)*(7 + 0 + 14) - 2 + 2 + 2*d)*(-d + 3*d + 2*d).\nAnswer: -1168*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16 times -384.8\nAnswer: -6156.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((60\/6)\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 838597741 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/3363690 and -97\/2640.\nAnswer: 26909520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20122101200 (base 3) to base 8\nAnswer: -377333","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 130*u - 1669. Give p(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppxppppxppp. Give prob of sequence ppxp.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28954 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38444 is divided by 173?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a46 + -11?\nAnswer: -2a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/85 and -30\/32587?\nAnswer: 2769895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 3*k)*((3 + k**2 - 3)*(-1 - 3 + 5) + 0*k**2 - 4*k**2 + 2*k**2).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451983 is divided by 689.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 232 = -0*f - 3*f, 150 = 2*f - 2*a. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3 + 56*x**2 + 86*x + 13. Let c(a) = 3*a**3 + 84*a**2 + 86*a + 13. What is -2*c(p) + 3*r(p)?\nAnswer: 3*p**3 + 86*p + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 6:45 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 87*g**2. Let r(u) = 17*u - 1. Determine w(r(q)).\nAnswer: 25143*q**2 - 2958*q + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a hour in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*c**3*x**4 - 2*c**3*x**2 + 2*c**3*x + 2*c**2 + x**4 wrt x.\nAnswer: 504*c**3*x + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 548565 and 24575712.\nAnswer: 122878560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130130 (base 9) to base 10.\nAnswer: 610281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -186792.809 rounded to the nearest 1000?\nAnswer: -187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183*u**4 - 403*u?\nAnswer: -2196*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.334946 rounded to one decimal place?\nAnswer: 105.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 4\/3*6\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2538 + -941. What is the remainder when d is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78508, 78584, 78672, 78778, 78908, 79068, 79264, 79502?\nAnswer: 79788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 699777.9 months?\nAnswer: 58314.825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2589459 is divided by 647358?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilil when four letters picked without replacement from {l: 11, n: 4, i: 4}?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 3*w**2 + 6*w - 6. Give q(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9487.\nAnswer: 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a millennium?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*q - 3*f - 12361, -q + 5*f + 12357 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3*2\/(-30)). Suppose -2*n - x*b = -142, 0 = -4*n + 2*n - 3*b + 138. Suppose -n = -5*d - 11. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {i: 5, e: 15}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(4\/9))\/c)\/c**(-1\/3)*c*c**(1\/6)*c\/c**(-2\/7))\/((c**(1\/2))**(1\/20)\/(c**6\/((c\/(c**(-2)*c))\/c))) assuming c is positive.\nAnswer: c**(18437\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20122132 - 1?\nAnswer: 20122131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/66 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 9*l - 8. Let y be o(6). Let v = -11 + 6. Let h = v + 10. Solve -q = -3*d - y, h*d = -q - 10 - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 5. Let q = 81 - 81. Suppose 9*w - 6*w - 15 = q. Calculate the remainder when p(w) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/22 and -69\/112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -25*z - 2302. Calculate c(-88).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 8. Is (4\/i + 6\/126)*15 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*o**6 + 2*o**6 + 5*o**3 - 15*o**2 - 3*o**6 + 3*o + 3*o**6 + 5*o**6 wrt o?\nAnswer: 240*o**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p + 3*p + 5*p. Suppose -3*w + 3 = -0. Let r = w + -5. Let j(s) = s. What is r*j(f) + h(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*f + 5*f + 32*f + 10*f in the form s*f + m and give s.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/84*(-24)\/(-35)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -904*x**4 + 40*x**3 - 10*x**2 + 6*x + 6149. Let n(m) = 3*m**4 - 8*m**3 + 2*m**2. Let y(w) = -h(w) - 5*n(w). Find the first derivative of y(d) wrt d.\nAnswer: 3556*d**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132.91 + -137.9594. What is k rounded to 1 dp?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*t - 16 + 2, -4*s + 26 = 5*t. Suppose 8 - 2 = t*n. Calculate the greatest common divisor of n and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 21. Let c(x) be the first derivative of -3 + 0*x**3 + 3\/4*x**4 + 0*x**d + x. What is the first derivative of c(g) wrt g?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2849571, -5699206, -8548839, -11398470, -14248099, -17097726, -19947351?\nAnswer: -22796974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {a: 1, u: 11, j: 8}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 2 - 2\/(-1). Let q be (-3)\/14*(u + -3). Let i = 1.9 - 2. What is the nearest to i in q, -1, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -1 + sqrt(448) + 3 - (-1 + sqrt(448))*6)**2.\nAnswer: -512*sqrt(7) + 7232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -176, -174, -172, -170?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -54*j**2 - 95*j - 295. Calculate r(-3).\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2126715, -4253430, -6380145, -8506860, -10633575?\nAnswer: -12760290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 + 11.91. Let x = 6 - p. Let l = 6.000038 + x. Round l to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 250 - 144. Let m = 103 - q. Put -5, m, -1 in decreasing order.\nAnswer: -1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 + 142. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 11*v**2 + 10*v + 4. Let m be (-104)\/10 - 14\/(-35). Let b be x(m). Let c = -2 + b. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -0.05276.\nAnswer: -6.94724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 + 11211333123?\nAnswer: 11211332320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**3 - 4*r**2 + 10*r - 5. Let s(b) = -5*b**3 - 3*b**2 + 8*b - 4. Let f(t) = 4*l(t) - 5*s(t). Suppose 0 = -3*k - 3*m, 2*k = -2*m + m. Give f(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**(-2\/5)*q))\/q)\/q*q**(-1))\/((q\/q**(-5))\/(q\/(q*q*q**(-8\/7))*q)) assuming q is positive.\nAnswer: q**(-296\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + -5 + 1 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t**3 - 4*t**2 + 3831*t + 10. Give n(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 14 - (-2 + 6 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -575.39 + 624.5. Let i = 0.11 - q. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(133) - 1*sqrt(133))*-4*3)\/((sqrt(56)\/sqrt(4))\/sqrt(2) - sqrt(56)\/(sqrt(8)*-2))*-3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -158, -239, -320, -401?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 74 (b) -1\/2 (c) 0.3 (d) -0.1 (e) -10 (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + 41. Let v = -93 + z. Let u = -23.3 - -4.3. Which is the closest to 0? (a) u (b) v (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**5 + 880*f**4 + 14*f**3 + 887591*f**2 wrt f.\nAnswer: 240*f**2 + 21120*f + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**8\/33600 - j**7\/12600 + j**6\/3600 + j**5\/600 + j**4\/4 + 3*j**2. Let y(d) be the second derivative of u(d). Factor y(t).\nAnswer: -(t - 1)*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/50 or -0.02?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-30 + 67 - 68) + 50\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence css when three letters picked without replacement from mcmvmmssmvmmmm?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*f + 3*f + d, 5*f + 2*d + 20 = 0. Let w = 2 + f. Let h(b) = -b**3 - 4*b**2 - 3*b - 6. Determine h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1031771 divided by -1\nAnswer: -1031771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - (-2 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l + 23*l + 5*m + 540 = 0, 0 = 3*l - 4*m - 326. Let t = l - 113. Which is smaller: -16 or t?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -127. Suppose 0 = 6*r - 2*r - l. Let q = r + -31. Let z(f) = -f**2 - 3*f + 1. What is z(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**5\/4 + 47*z**4\/4 + 97*z**3\/4 + 49*z**2\/4 = 0.\nAnswer: -1, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1447478 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2. Let n(d) be the second derivative of 49*d**4\/12 + d**3\/6 + 11*d**2\/2 - 30*d. Let h(o) = -n(o) + 3*s(o). Differentiate h(f) wrt f.\nAnswer: -86*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 27*c - 255 = 0. Is (-3862)\/(-3)*c\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 12*j - 8 = 0. Suppose 0 = n + j*h + 14, 0*n = n + h + 2. Suppose 3*v**3 + 6*v**2 + 0*v**n + 6*v + 3*v**2 = 0. Calculate v.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -109, -80?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 34896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533844726?\nAnswer: 2, 3, 53, 1678757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -1\/7 (c) 3\/16 (d) 1\/2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1\/149, 1\/6, -0.005, 34 in descending order.\nAnswer: 34, 1\/6, 0, -0.005, -1\/149, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 509 = -2*x, 1042 = 4*x - 3*i + 5*i. Suppose -25*o + 363 = -x. Solve -4*b + o = 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 1.4. Let t = 28 + -26. Which is the closest to 2\/5? (a) 3 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3718\/3 - -762188\/615. Let q = 561378570 + -1380991322167\/2460. Let d = q + y. Calculate the common denominator of 83\/18 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10, -9, 2, -49 in increasing order.\nAnswer: -49, -10, -9, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 150, -2\/7, 5, 2\/89, 5\/6, 0.1?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 3, u: 6, j: 3}. What is prob of picking 1 u and 1 q?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 276952033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/3 - 1525610*y**2\/3 - 290934971206*y\/3 + 290936496818\/3 = 0. Calculate y.\nAnswer: -381403, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 297*d + 55. Let m(a) = -11*a - 2. Give -2*j(k) - 55*m(k).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 545428218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -374737, -749478, -1124229, -1498996, -1873785?\nAnswer: -2248602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*h = 60*h + 5*q - 22, -2*h - 17 = -3*q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2232 and 17\/72?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/63 - 384\/(-574). Let c = j - -38\/451. Let h = 0.2 + -0.1. Which is smaller: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:40 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 656*r**4 + 2775?\nAnswer: 2624*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13156874 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -33273280 to the nearest one hundred thousand.\nAnswer: -33300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2270976 is divided by 1294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 4177, -7 in increasing order.\nAnswer: -7, 59, 4177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = u - k - 4, 0 = -3*u + 2*k + 12. Sort u, -5, -7 in decreasing order.\nAnswer: u, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2215014*o**2 - 901198*o**2 + 3778131*o**2.\nAnswer: 5091947*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3366\/7854*((-2)\/(-3)*-3)\/(-3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p = 2*d + d + 12, -5*d - 12 = -4*p - 2*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 divided by 12?\nAnswer: 113\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5\/5 - 7188*b**4\/5 + 680016*b**3\/5 - 4239932*b**2 + 219678834*b\/5 = 0?\nAnswer: -3687, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 8*i**2 - 12*i + 60. What is b(9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 2, w: 1, n: 1, q: 1, e: 1}. Give prob of picking 1 w and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672 divided by 168.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/45 - 326\/6. Let p = -54 - r. Put -13, p, -4 in descending order.\nAnswer: p, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3 + 0 + a - 3*a - a**2. Suppose 44*i = -212 + 36. Let c be m(i). Which is bigger: -10 or c?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -19\/6*g**3 + 0*g**2 - 1\/20*g**5 + 13 - 2*g + 1\/2*g**4. What is the second derivative of t(f) wrt f?\nAnswer: -6*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 - -11) + 38\/1. Suppose 40*o - u*o - 459 = 0. Calculate the highest common divisor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 358*w - 27. Give z(-2).\nAnswer: -743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -254 in -220, -20, 1, 5, -0.2?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 77747103?\nAnswer: -38873551.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.072*4.\nAnswer: -0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 142*z**3 - 3*z**2\/2 - 72*z + 347. What is the second derivative of i(k) wrt k?\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 2 - 40 = -11. Solve 3*x + 3*w = 9, -x = p*w - 9 + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2 + 21. Let u(q) = 545106*q. Give u(d(l)).\nAnswer: 2725530*l**2 + 11447226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 11800\/2697?\nAnswer: 11800\/2697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1225) + sqrt(1225)*2))\/((sqrt(5) - sqrt(5)*2*-3)*-3).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-30)*((-27)\/405)\/(50\/(-1530)).\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227112788 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*h + 280 - 280 to f*h + m and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and 63258.\nAnswer: 50606.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 9:06 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 463667593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -33*v**2 - 5*v. Let j(n) = 2*n**2. Calculate o(j(h)).\nAnswer: -132*h**4 - 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*i - 130547 = 0, -3*q - 41*i = -40*i - 48970. What is the greatest common divisor of 38 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 81 - 24 + 3*b - 35 - 8*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60.43 + -92.879. Round u to zero decimal places.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -656 + 572. Let g = 97 + m. Solve -l + g = l + 3*u, 0 = l - 3*u - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 13*k - 3)*(0 - 1 + 0 - 1 + 0 + 3 + (3 + 2 - 3)*(-3 - 1 + 3) + 0 + 0 + 1 + 2 - 1 + 0)*(17 + 8 - 7) to the form z*k + y and give z.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 28. Suppose c = 10*v - 12*v + 2. Solve p - 2 + v = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2549285*y**3 - 16890*y + 515 wrt y?\nAnswer: -15295710*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(33)\/sqrt(3) + 1 + (sqrt(891) + -1)**2).\nAnswer: -102*sqrt(11) + 5358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3993218.\nAnswer: 2, 1996609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 624 - 1852\/3. Let b(j) = 4*j - 2. Let f be b(2). Let n = f - a. What is the biggest value in 1, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 - -139. Calculate the remainder when 40 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/7, 27, 3, -7 in ascending order.\nAnswer: -7, -2\/7, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 12 = h + 5*k, -h + 5*k + 12 = 0. Solve h = -0*w + 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2384010 divided by -10?\nAnswer: 238401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f + 85619 + 195889. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 74?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1652954 rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 5 = 4*b, 5*g + b = 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 0.1 (b) -0.09 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 542225.\nAnswer: 1626675","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1, -29, -12\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7706096519.5 - 7706096084.04867249. Let k = s + -417.4513271. Let q = -18 + k. What is q rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283056786?\nAnswer: 2, 3, 839, 18743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -285790 - 10?\nAnswer: -285800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 23. Let f(x) = m*x - 6 - 9 - 6*x + 5*x. Let y(k) = 2*k - 4. Determine 6*f(s) - 22*y(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v - 3. List the prime factors of j(2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -391.72976 and -20.\nAnswer: -411.72976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3 (b) 4 (c) -0.1 (d) -5 (e) -195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222*u + 2*u**2 - 123*u + 27*u - 576*u - 2 - 338*u to the form s + o*u**2 + t*u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*q + 41. Let z(n) = n + 13. Let w be z(-8). Suppose -j = -q + w. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37411\/40 - 3749\/4. Let z = -126\/25 - -161\/275. Calculate the common denominator of z and u.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6926039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w - 13*w + 442 = 4*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + x + 3)*(-3*x**2 + 4*x**2 + 5*x**2) + (2 - 1 + 0)*(2*x**3 - 2 + 2).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 232\/(-14) - 57\/133. What is the remainder when 118 is divided by (-676)\/(-34) - 2\/t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**6\/120 + h**5\/10 + h**4\/24 - 17*h**3\/6 + 465*h**2 - 1. Give o(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Let g = -219 - -1969\/9. Suppose -f + 40 = 7*q - 3*q, 3*q = 3*f + 15. Which is the nearest to v? (a) q (b) 3\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 5, o: 2, a: 4}. Give prob of sequence ha.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21695\/888 - 25\/444. Is 24 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9190 divided by -2.\nAnswer: -4595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6912 and 133\/324.\nAnswer: 20736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2\/9 + 176\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6*r. Let u(p) = -32 + 3*p**2 - 33 + 54. Calculate y(u(t)).\nAnswer: -18*t**2 + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22716468.72871 minus 0.0543?\nAnswer: -22716468.78301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -155739.3 + 233361. Let o = c - 77739.700225. Let u = o - -118. Round u to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760 is divided by 562?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 + 1 = 0. Let d be (0 + -3)*h\/6. Sort d, -3, 5.\nAnswer: -3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 12:08 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63988.39 millilitres in litres?\nAnswer: 63.98839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120 + 122121?\nAnswer: 211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -122.6 * -0.03.\nAnswer: 3.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*56*(-1)\/8.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v**3 + 14*v**3 - 3*v + 10*v**3 to n*v**2 + f*v**3 + i + k*v and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.11157ug to tonnes.\nAnswer: 0.00000000002111157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 4732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1612)\/(-12090))\/(2\/(-4))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 + -158. Suppose -b*r + 6 = -31*r. Let a be (2 + -1)\/((-2)\/(-30)). Solve -3*p - r*p = -a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.389118 - -0.136218. Let t = y + 6.19. Round t to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 61, 3, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*c + 4129*c + 21179 = -114136 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -50788 bigger than 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -351500 + 4214119\/12. Let g = 318 + d. Let p = -8539\/22 - -391. What is the common denominator of g and p?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**5 - 1112*c**4 - 352*c**3 + 15*c**2 - c + 13786 wrt c.\nAnswer: 240*c**2 - 26688*c - 2112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 - -995295?\nAnswer: 99531a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00340975 rounded to 5 decimal places?\nAnswer: 0.00341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9*b + 132. Let j(t) = 2*t - 4. Determine 2*j(z) + o(z).\nAnswer: -5*z + 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0*p**3 + 0*p**2 + 0 - 6*p + 3\/4*p**4. Let w(n) be the second derivative of n**4\/4 - 15*n. Determine k(w(r)).\nAnswer: 81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 - 1001120?\nAnswer: -1002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 323 - -897. Let o be 6\/(48\/m)*400. What is o rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5e20b (base 16) to base 4\nAnswer: -1132020023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -981924 (base 10) to base 14.\nAnswer: -1b7bb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/(-21))\/(0\/(-3) + -2). Let f = -2 + 3. What is the closest to -3\/5 in f, -1\/3, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (297 - 297 + 2*x)*(-x**3 + 0 + 0) + 53*x**2 - 2*x + 3*x**4 - 27*x**2 - 25*x**2.\nAnswer: x**4 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a factor of 8721792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 77?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 35235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 20891.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-504)\/420 + (-1209)\/30 + 6\/4.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 164*w + 1824. Determine s(152).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 5420?\nAnswer: 1\/1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5010 + 2438. Does -2572 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.3 (b) 5 (c) -0.2 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**5 + 390*k**4 - k**3 - 390*k**2 = 0.\nAnswer: -390, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -5.07\nAnswer: -10.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 685.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 9:29 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 + 8?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -0.027, 40, 27, 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - b**2 + b - 1. Let n(d) be the second derivative of -d**5\/5 + 5*d**4\/3 - d**3 + 7*d**2\/2 + 4295*d. Determine -6*m(x) - n(x).\nAnswer: -2*x**3 - 14*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77260 and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 67*i + 564. Determine b(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -1384001489.\nAnswer: 1384001488.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226 and 160234.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*j + 15*f - 14*f, -4*f - 26 = -3*j. Let d be (-71)\/((-2 + 4)*(-1)\/j). Which is the biggest value? (a) -1\/8 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.051 + -0.449. Which is the nearest to 3? (a) i (b) -2\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x + 98. Let n be z(4). Suppose 4518 = -121*h + n*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19599 and 564.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/5 + 3978*z\/5 - 116203\/5 = 0. Calculate z.\nAnswer: -4007, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11252996*r**2*y**2 - 186227*r**2 - r*y - 13 wrt y.\nAnswer: -22505992*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2139*h**4 + 209?\nAnswer: 8556*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2. Let v(j) = 1. Let r(t) = 2*t**2 + 1. Let w(s) = s**2 - 8*s - 1. Let k be w(8). Let i(x) = k*v(x) + r(x). Determine f(i(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -8162120 at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489*w - 504*w = 375. Sort 2, 1\/21, w.\nAnswer: w, 1\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + -1*sqrt(136)*1 - sqrt(136))\/(sqrt(64)\/(sqrt(40)\/sqrt(5))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/9 (b) 2.3 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*(sqrt(1900) + -1) - (sqrt(1900) + 1)*6))**2.\nAnswer: 11200*sqrt(19) + 1490000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.1 (b) 1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 + 307. Suppose -3*q - 830 = -5*r, -4*q = -5*r + p + 624. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**3 - 3*p - 4*p**3 + p - 3*p**2 - 4 - 1. What are the prime factors of j(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164 + 0*d**2 + 2*d**3 - d**3 - 6*d**2 + 159 + d to the form g*d**3 + q*d + l + o*d**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*t - 8. Let q(n) be the third derivative of -n**5\/60 - n**4\/4 - n**3\/2 - 2*n**2. Let g be q(-5). Solve -4*i - t = -g*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*y - 10 = 0. Let w be 8\/5 + 12\/30. Let -y*k + 5*k**2 + k**w + 4*k**2 + 0*k - 8*k**3 = 0. Calculate k.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -2, -5, -865 in increasing order.\nAnswer: -865, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -851, -1703, -2555, -3407?\n\"Answer: -852*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, -2138 in ascending order.\nAnswer: -2138, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3.36*73437\nAnswer: 246748.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 15. Suppose -d*q + 0*q = 248. Let u = 102 + q. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 2. Give r(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/541, 3\/833, 2 in ascending order.\nAnswer: -6\/541, 3\/833, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7497 or -0.2?\nAnswer: -7497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + -7)*3 + 5. Solve 8 = 13*u - 11*u - 4*h, -2*u - h - a = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96553 is divided by 13779?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -561*a + 104907\/4*a**2 + 3 = 0. What is a?\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**2 - 3*u. Let h(q) = -q**2 - q. Let n(d) = b(d) - 6*h(d). Let z be n(-3). Let j be -2*(z + 2 + -1). Sort -1, j, 2 in increasing order.\nAnswer: j, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 7*n**2 - n + 2. Let o be j(-7). Suppose -g + o = 3. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12926.\nAnswer: 2, 23, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 366.099366 to one decimal place.\nAnswer: 366.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2784748596.\nAnswer: 2, 3, 7, 4735967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfc when three letters picked without replacement from fllclfflfcl.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u + 0*u + (-5*u - 2*u + 6*u)*(-1 + 2 - 3))*(3*u**4 - u**4 - 4*u**4 + (3*u**4 - 2*u**4 + 0*u**4)*(-2 - 3 + 4) + 2*u**4 + 4*u**4 - 7*u**4).\nAnswer: -16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 + 2 = 0. Suppose -2 = -i*d + 4*h, 3*d + 5*h + 8 = 33. Suppose d*f - 1 = 5*b - 6, -2*f = -5*b + 11. Solve 5 = b*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjw. Give prob of sequence jjw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/35038?\nAnswer: -3\/35038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6472832496 to the nearest integer?\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2502 divided by -834?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uufyukyuubkubbbkbuu. Give prob of sequence yu.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 231 + 3?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41*-1*58\/(-1).\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -13. What is the remainder when -111*(-3)\/18*(17 - 13) is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1428)\/35 + 2\/(-10)*1. Which is bigger: -42 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*n**2 - 79*n**2 - 62*n**2 - 4*n**3.\nAnswer: -4*n**2*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007917 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5291 is divided by 87.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 65*s + 621. Let w be 1 + -3 + -2 + 7. Suppose 5*d - w*t = 148 + 97, 5*t = -2*d + 129. Calculate the remainder when d is divided by k(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + v - 1. Let y be w(1). Let k = 83747 - 83753.6. Which is the closest to y? (a) 1 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4057610 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: Let r(k) = 9 - k + 0*k - k. Let t be r(7). Let j = -139 + 144. Which is the closest to 2\/7? (a) t (b) 1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4433, -4820, -5463, -6356, -7493?\n\"Answer: y**3 - 134*y**2 + 8*y - 4308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 10d1 (base 15) to base 10\nAnswer: 3571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -2 (c) 10 (d) 6057\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*f - 200 = 8*f, -4*f + 92 = 3*z. Let o(v) = 3*v**2 + z*v**2 - 9*v**2. Let c(g) = 3*g. Give o(c(j)).\nAnswer: 270*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -b + 33. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 916 + -915.99998214. What is t rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x - 5. Suppose 4*f + 0 - 4 = 0. Suppose 5 = -s + f. Is m(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -9*b. Let x(r) = -55*r. Suppose -35*h = -5*n - 34*h - 25, 0 = -3*n + 4*h - 32. Calculate n*x(s) + 25*g(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 32*p**2 + 6*p - 5. Let h be c(-1). Solve h*j - 29 = 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 - w + 198 - w.\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -202*i + 404. Let r be k(2). Solve 980*v - 976*v - 4 = r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 smaller than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (16 - -18) + -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33434 - 34780 = -577*o - 20323 for o.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (429 - 426 + 7*i - 2*i)*(-i - 2*i**3 + i) to the form p*i + z*i**3 + c*i**2 + o + j*i**4 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011010001001011110 (base 2) in base 7?\nAnswer: -10411025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9 + -2. Let s be 1\/((5\/20)\/(2\/24)). Which is the closest to 1? (a) -3 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + 17*k - 3*k.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 7 + -4 + (5 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*t - 16, v = 2*t - 4*t. What is the third derivative of -73*r**2 + 2*r**3 + 31*r**2 - 21*r**4 - t*r**3 wrt r?\nAnswer: -504*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -400*m**3 - 197*m - 3.\nAnswer: -2400*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -216 - -216. Suppose -g = -4*g + 12. Suppose g*l + 194 = -0*x + 2*x, -2*x - 3*l + 180 = p. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/164654784 and -13\/27?\nAnswer: 493964352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = -5*b, -4*b + 0*b - 20 = 5*m. Suppose 3*y - 141 = -b*y. Let s = 2576 + -2551. What is the remainder when y is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958516301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51410017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -12*a - 101 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -688436 or -688447?\nAnswer: -688447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f = -a - 43, -123 = 5*a - 3*f. Let b be (72\/42)\/((-8)\/308). Let l = a - b. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 14*i. Let t(k) = -81*k**2 + 26*k**2 + 32*k**2. Calculate p(t(g)).\nAnswer: -322*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 9*w. Let z(l) = l**2 + 2. Suppose -360 = -131*v + 127*v. Let b = v + -93. Let d(a) = a**2 + 3. Let c(n) = b*z(n) + 2*d(n). Give f(c(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 22. Let i = -5 + 8. Suppose -2*q = 3*h - 0 - 14, -5*h + 23 = i*q. What is the greatest common factor of q and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/7986368 and 53\/638.\nAnswer: 87850048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 5*u**2 + 7. Let i(c) = 7*c - 3. Let n be -2 + 2 + 2 + 2. Let h be i(n). Suppose -y - 5*m = h, -y + m + 19 = -4*y. Determine d(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -741*f**3*z**2 + 4*f**3*z + 4*f**3 - 2*f**2*z + 16*f**2 - f*z**2 - 49*f*z wrt f?\nAnswer: -4446*z**2 + 24*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 33*x. Let v(b) = 16*b. Let i(q) = -3*h(q) + 7*v(q). Let n(w) = -35*w + 32. Let d(y) = 13*y - 12. Let r(l) = -8*d(l) - 3*n(l). Calculate r(i(p)).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -20. Suppose 4*t + g = 11. Let u(p) = 7*p + t + 8 - 10. Let f(v) = -2*v**2. Calculate u(f(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441180 divided by -3.\nAnswer: 147060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u - 28 = 76*u - 37*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*((-22)\/(-44))\/(4\/(-4)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 48 + 28*f + 6 - 39*f - 86. What is g(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302335051 (base 6) in base 3?\nAnswer: -100201011212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1087.5947 + -1088. Round h to 2 decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.08, 4, -4, 1\/3, -1075, 0.2, 33?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c - 1. Suppose 0 = 23*l - 192 + 54. Suppose -4 = -l*n - 16. Determine j(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3941673 to three decimal places.\nAnswer: 0.394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*s**2 - 35*m**2*s + 2*m**2 - 3 with respect to s.\nAnswer: 4*m**2*s - 35*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2450 and 175.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 151050, 147797, 144540, 141279?\n\"Answer: -2*n**2 - 3247*n + 154299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219582 is divided by 2678.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -14, -30, -64, -122, -210, -334?\n\"Answer: -j**3 + 3*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 22. Let i be 34800003\/z - 36\/48. What is i rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 1 + (1 + 0 + 1)*(3 - 5 + 3))*(331 + 1797 + 78)*(-c**2 + 2 - 2) to p*c**2 + v*c + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccssacscwa. What is prob of picking 1 s and 1 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 6*q**2 - 4\/3*q**3 + 17 - 9*q. Find c, given that s(c) = 0.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28416, 29773, 32036, 35205, 39280?\nAnswer: 44261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, -37, -67, -107, -157?\n\"Answer: -5*o**2 - 5*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -222322052 (base 7) to base 10\nAnswer: -13467932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 + (-7 - 24 - -8).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**2 + 3. Let p(o) = 26*o**2 + 2*o. Give p(j(u)).\nAnswer: 936*u**4 - 948*u**2 + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3*d = 3*j - 16, -d = -3*j + 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 21*m**3 - 4*m**2 - 9*m - 4. Let n(l) = -21*l**3 + 3*l**2 + 9*l + 3. Let r(h) = 4*n(h) + 3*u(h). Find the second derivative of r(x) wrt x.\nAnswer: -126*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x + 3 = 0. Suppose 0 = -4*b + x*b + 10. Suppose -d = 3*k - 6*k + 10, -5*k + b = 5*d. Is k less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b*b**3)))\/b**0*((b*b*b**3)\/b)**(-43) assuming b is positive.\nAnswer: b**(-169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 23*h**2 + 26*h - 43. Let a be f(24). Suppose -3*c + 75 = 2*c - a*w, -2*c - 5*w = -58. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86268 and 8673.\nAnswer: 35628684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*b - 1280 = -3*b, 0 = 4*q - 4*b - 1008. Suppose -12*o + 1061 = q. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 6 - 21, -4*m - 5*z - 111 = 0. Let f = m + 26. Suppose -12 = -b + 5*q, -5*b - f*q = -0*q - 6. Solve 3*l = 1 + b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 2. Let y(v) = -2*v**3 + 17*v**2 - 8*v + 1. Suppose -5*d + 12 = -4*d + u, 2*u - 8 = 0. Let h be y(d). Let x(w) = w + 1. Determine h*f(s) - x(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -351, -0.311, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 13, 1, 6, -3.\nAnswer: -3, 1, 2, 3, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(3)))**2 + 5 - (((sqrt(3) - sqrt(12))*-6 - sqrt(3))**2 + sqrt(24)\/(sqrt(16)\/sqrt(2))).\nAnswer: -43 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60\/1853 - 174475\/48178. Calculate the common denominator of (-82)\/48*(4 + -1) and h.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137075638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1062381, 4249549, 9561507, 16998255, 26559793?\nAnswer: 38246121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 162.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63516 and 37788?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 31*f + 9. Let y be (-2 + 0)\/((-6)\/39). Let h be i(y). Suppose h = 17*c - 13*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + (sqrt(378)*2)\/sqrt(6) + sqrt(63))\/(1*3*sqrt(9)))**2 + -3.\nAnswer: 85\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16503*u*x**3 - 3533*u*x**2 + 3*u wrt x?\nAnswer: -99018*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1913555?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33792825 by -11264275.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 3*g**2 - 5*g - 6. Let w be f(-4). Let x be 88\/10 - w\/10. Which is smaller: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -22*i + 24*i. Let t = 54 + i. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30251099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*i*o + 74*i + 3854*o wrt i?\nAnswer: 16*o + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/8)\/(9*(-7)\/(-1260)). Let w be (-271)\/(-3) - 5\/(h\/(-2)). What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 676 (b) 0.6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.11, 1\/6, -3, -24?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216226446.\nAnswer: 2, 3, 37, 43, 22651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4924 = -3*l, -2*l - 32302 = -5*p - 7734. List the prime factors of p.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 858\/(-117)*(-3)\/99?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*i**2 + i - 45.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - -50)*13*(-1 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4238 + 5*v**3 + 11*v**3 - 4233 + (3 - 3 + v)*(-3*v**2 - 2*v**2 + 3*v**2) to y*v + g*v**2 + q*v**3 + p and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44)*-3*6 - sqrt(44)) + (5*sqrt(44)*4 - sqrt(44)))\/(-2*(sqrt(144) + sqrt(144)*-1 - sqrt(144))*-4) + 0)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 + -32?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002372 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(o**2 - 2*o**2 - o**2) - 2*o**2 - 3*o**2 + 6*o**2 + o**2 - 2*o**2 - 3*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -121100 (base 3) in base 2?\nAnswer: -110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 449879711 to the power of 1\/2, to the nearest integer?\nAnswer: 21210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -159, 2 in descending order.\nAnswer: 2, -5, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-16)*(-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6331 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4570429, -4570434, -4570449, -4570480, -4570533?\nAnswer: -4570614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1115050037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*(189\/(-35))\/(-27).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -67252 - -9?\nAnswer: -67243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 + -7)*4\/10. Which is the nearest to z? (a) -2 (b) -1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/3 (b) 5 (c) 21 (d) -1\/62 (e) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 5 + 1)*(-3*o**2 + o**2 + 8*o**2).\nAnswer: -162*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 64.19491 meters?\nAnswer: 0.06419491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -17*y**3 - 4*y**2 - 4*y - 12. What is the remainder when 1154 is divided by r(-2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 4360?\nAnswer: -4359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdqg when four letters picked without replacement from {g: 2, q: 3, d: 4, w: 2, y: 2}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5792 + 5494 = 2*d, 0 = 4*l + 3*d - 22568. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1, -15, -41, -77, -123, -179, -245?\n\"Answer: -5*i**2 - i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -80, -175, -308, -479?\n\"Answer: -19*v**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29773, 29758, 29741, 29722, 29701, 29678?\nAnswer: 29653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -47403.1967279 and -3.\nAnswer: -47406.1967279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13310722 divided by 4\nAnswer: 6655361\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 34. Suppose -5*r + g = -37. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 2, 320, 1 in decreasing order.\nAnswer: 320, 17, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - x - 57 = x, 5*r - 51 = -4*x. Let s be 0\/(0 + -4) - -4. Suppose -s*f + r = -1. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 - 382\/(-14). Suppose -2*h - b = 2*h - u, 0 = 3*h - b - 22. Suppose -2*k - h = -23. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 + 8*a + 1. Let h(n) = -2*n**2 - 7*n. Let s(t) = 4*h(t) + 3*x(t). Calculate s(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m**2 + 53*m + 8. Let f be p(-7). Let j(l) = -27*l - f*l - 32*l + 117*l - 24*l. Let n(h) = -10*h**2. Give j(n(k)).\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as 1885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kykk when four letters picked without replacement from ykkkykykkk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1387*d*t**4 - d*t**2 + 1388*t**2 wrt t?\nAnswer: 33288*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 444?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 + 3*g**2 - 3 - 3*g**2 + g**2 + 1 - 2*g**3 in the form s*g + x*g**3 + t + k*g**4 + f*g**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2 - 2*j**4 + 6 + 2*j**2 + 1 to f*j**3 + m*j**4 + z*j + w + d*j**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -46860 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5100*v**2 - 9979*v**2 + 4961*v**2.\nAnswer: 82*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -9.9, -3, -0.5, 2\/2361?\nAnswer: 2\/2361","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(180)\/sqrt(3))\/(2*sqrt(768)*1).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*((sqrt(11) - (2*sqrt(11)*-1)**2) + (0 + sqrt(11))*4)*1*4.\nAnswer: -4400 + 500*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -115*u**3 + 2*u**2 + 2*u + 1. Is 22 a factor of r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 - 1 - 4*m**3 - 8*m - 2*m**2 + 10*m + m**2 as j + c*m**2 + x*m**3 + i*m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9650264 days to seconds.\nAnswer: 83378.28096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*r + 25 = -260*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2734.2 + 2735.2. What is the biggest value in a, 2\/11, 1\/3, 38\/7, 4?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9 - 5*r**2 - 9. Let p(v) = 7*v - 6*v + v - v. Determine g(p(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t - 4. Let l be n(1). Solve 2*r - 4*r - 3*a + 16 = 0, -4*r + l*a = -12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 + -772\/9. Let q = -0.6 - -1. What is the nearest to v in 0, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9053442 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - (-3)\/15 - (-454)\/5.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10593 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 16, j: 4}. What is prob of sequence wwwj?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.96306 to one decimal place.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 14. Let r = s + -7.2. Are -0.2 and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2. Let v(p) be the second derivative of p**7\/1260 - 5*p**4\/12 + p. Let j(s) be the third derivative of v(s). Calculate j(r(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316144 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13310 + 13305. Which is the closest to 0.16? (a) 0.03 (b) 0.01 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*w - 222. Let f = -136 - w. Let y be (6\/9)\/(f\/12). Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v - 12. Let y be c(-6). Let a(q) = 10*q**2 - 35*q**2 + y*q**2 + 15*q**2. Let k(r) = 10*r**2 + 4*r**2 - 4*r**2. Calculate a(k(l)).\nAnswer: 200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -141, -528, -1189, -2136, -3381, -4936, -6813?\n\"Answer: -2*k**3 - 125*k**2 + 2*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1924638*u**4 + u**3 + 642199 wrt u?\nAnswer: -7698552*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdd when three letters picked without replacement from {d: 2, p: 4, z: 2, s: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59071368?\nAnswer: 2, 3, 31, 79397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/9 - 2*m**3\/3 + 22*m**2\/3 + 70*m\/9 = 0. What is m?\nAnswer: -7, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:49 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**3)**23)**(1\/58) assuming x is positive.\nAnswer: x**(115\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 19. Suppose 0 = l*d - d - 54. What is the greatest common factor of d and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waww when four letters picked without replacement from {w: 5, y: 2, a: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32190.21t?\nAnswer: 32190210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/17? (a) 0.07 (b) 0.1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 - n + 19. Let m be 4\/14 + (-4)\/14. Is o(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1579027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (16 - (6 + 50))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**4 + u**2 - 3*u + 3. Let y(d) = 16*d**4 + 5*d**2 - 13*d + 13. Let s(j) = -26*h(j) + 6*y(j). Find the third derivative of s(m) wrt m.\nAnswer: -192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -899755\/40491 + -5\/4499. Let c = 157\/18 + v. Find the common denominator of c and 151\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 16 = -3*q, q = -11*h + 6*h + 23 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 5*l - 4. Calculate w(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 111048*a**3 + 55517*a**3 + 55514*a**3.\nAnswer: -17*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*2*sqrt(84))\/(sqrt(1728) - (2*((sqrt(1728) - 1*sqrt(1728)) + sqrt(1728)) + sqrt(1728))).\nAnswer: -5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 4:16 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.959629, -2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from uvugzzmvuu.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*l**2*p**3 + 3306*l**2 + 2*l*p**4 + 8*l*p with respect to p.\nAnswer: 120*l**2*p**2 + 8*l*p**3 + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -437?\nAnswer: -1748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3072)\/(-15) + 12\/(240\/44). Sort b, 5, -5.\nAnswer: -5, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25581113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208021*p**2 - 208022*p**2 - 208031*p**2 + 624081*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0551 or 2405.85?\nAnswer: -0.0551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 29 = -6. Suppose -j = -w*j + 6. Let k be (-10)\/(-8)*(-1)\/5. Which is the closest to k? (a) -0.4 (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from {k: 3, f: 1, v: 2, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 5 = -w + 4*v, -3*v = -2*w - 14. Let k = w - -14. Let y be ((-4)\/k)\/((-2)\/4). Which is smaller: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111111 (base 2) in base 13?\nAnswer: -4bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by 120?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4054 - 3604. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/20 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 - (641 + -686).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -i + 224. Let c be 710\/14 - 2\/i*-4. Let v be (0 + c)*(-8)\/(-24). Calculate the highest common divisor of 68 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 7*d + 2. Suppose 0*w + w - 2 = 0. Let h be (-4 - -3)\/(w\/(-36)). Suppose -4*s + s = h. What is t(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561810203 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7*a*a*a*a**(-2\/23)*a)**(-11)\/((a*(a**(2\/5)*a)\/a)**(-6)*(a*a*a*a**(-1\/4)*a)**(2\/3)) assuming a is positive.\nAnswer: a**(-26253\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(156\/(-60)) + 14 + -21.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 31 + 12 + (4 + 3 - 5)*(2 + 1 - 2))*(13*b + 0 + 0 - 2) as x*b + a and give x.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19713160.\nAnswer: 2, 5, 401, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)*b*b\/b**(1\/5)*(b*b**6)\/(b*b**3)*(b\/b**(2\/7)*b*(b\/(b\/(b\/(b*b\/b**(-1)*b)))*b)\/b*b)**20 assuming b is positive.\nAnswer: b**(-137\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 6. Suppose 0*d = -h*q - 2*d + 8, 5*d = 3*q - 6. Solve -q*z + 2 - 8 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 148 (b) 0.03 (c) 7 (d) 2 (e) 1 (f) 2\/17 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 - 3*i + 2. Let q be u(-2). Let s = q - 31. Let h(v) = v**2 + 7*v + 10. Calculate the remainder when 29 is divided by h(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/137 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2925 and 3477300.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -1 + (-2 - -11) + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 2*v + 3. Suppose 5*g = 123 - 43. Suppose -k = 3*k - g. Suppose z + 2 = -0*z + f, 2*z + k*f = 20. What is h(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8 + h - 12 - 6 + 29 - 11. Determine p(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -6.4. Let s be ((-315)\/(-225) - 58\/20)*(-20)\/165. Which is the second biggest value? (a) r (b) -3\/7 (c) s (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2030728729?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1109, -2220, -3331, -4442?\n\"Answer: -1111*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let l(c) = 8 + 6*c**2 - 8. Let t(d) = l(d) + 4*v(d). Let s(n) = 210*n + 36 - 36 - 186*n. Determine s(t(g)).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujjuk. What is prob of sequence ku?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 5*q + 4*c, 0 = 5*q - 2*c + 4*c - 126. Let f = q - 19. Let j be (f - 0) + (-20)\/4. Solve -5*p + 3*p + j = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + 1 + sqrt(2057) + sqrt(2057) + -5 + 1*sqrt(2057) + 5 + 4)**2.\nAnswer: -66*sqrt(17) + 18514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1036 - 3116 = -6*g. List the prime factors of g.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (4\/(-10) - (-1781)\/390). Let v(x) be the second derivative of 7*x + 0*x**2 + 0 - b*x**3. Let j(q) = 3*q. Calculate v(j(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = 3*g. Find the first derivative of -2 - 2 + 2*x**4 + 3*x**4 - g wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -2*o**3\/57 + 2084*o**2\/19 - 2171528*o\/19 + 11011. Suppose l(d) = 0. What is d?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (5 + (5 - 18) - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2503.8 - 2504. What is the fifth smallest value in 0.5, -0.8, x, 11, -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/17 or -0.148?\nAnswer: -0.148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 154, 82, 6, -74, -158, -246, -338?\n\"Answer: -2*t**2 - 66*t + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 35401*r - 70802. What is f(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8819 - -12886. List the prime factors of d.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/13 - 432*i**3\/13 - 65508*i**2\/13 + 991408*i\/13 - 71190 = 0. Calculate i.\nAnswer: -113, 1, 13, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + -18. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mak when three letters picked without replacement from {h: 2, v: 4, a: 1, k: 3, m: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 891 at least 887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28302 - 28299. Put -1, g, -10, 4 in ascending order.\nAnswer: -10, -1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-221)\/204 + 1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 235534.2 litres?\nAnswer: 235534200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**3 - 4*y**2 + y + 6. Let v(k) = 15*k**3 - 8*k**2 + 2*k + 11. Calculate 11*j(o) - 6*v(o).\nAnswer: -2*o**3 + 4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, p: 5}. What is prob of picking 4 q?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 2*q**2 + 3*q - 3. Let t be w(2). Suppose t*m - 14 = -p, 5*p + 5*m + 0*m - 70 = 0. Calculate the highest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.84 - -14. Let a = x + -1.05. Let o = 0.29 + a. Sort o, 17\/4, 3.\nAnswer: o, 3, 17\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249 and 33882.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p*p**(1\/21)))\/p)\/p)\/(p**37\/p))\/((p\/(p*p\/p**(3\/8)))\/(p*p**(-20))) assuming p is positive.\nAnswer: p**(-9479\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 14*h**2 + 42*h - 135. Calculate the remainder when 28914 is divided by q(12).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/16819, 8, -2\/7 in descending order.\nAnswer: 8, -2\/16819, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 110978?\nAnswer: 554890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*v + 65*v = -3*n - 6, -3*v - 18 = -3*n. What is the closest to -0.25 in -1, 2\/13, v, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 30. Let g be ((-6)\/r)\/((-4)\/(-18)). Solve -5 + g = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -88. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 14, p: 4}. What is prob of picking 2 m and 1 p?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 779568 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52873\/42 or -1259?\nAnswer: -52873\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -11*c**3 - 6*c. Suppose 3*d = 13 + 2. Let l(j) = 16*j**3 + 9*j. Let p(a) = d*l(a) + 7*b(a). Find the second derivative of p(y) wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10*b + 87. Let m be o(-16). Sort m, -1, 1 in decreasing order.\nAnswer: 1, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6 + 7*n - 29 - 13. What is the remainder when 133 is divided by v(9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 61144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141252 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - (0 + -10) - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128131 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i - 2. Let a be p(-1). Suppose -3*c + b + 3*b = -313, a*b = -3*c + 285. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(325) + -2*sqrt(325) + sqrt(325))**2 + 1 + 2*((sqrt(26)*1)\/sqrt(2))**2*1.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 664046.6 rounded to the nearest ten thousand?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 2*s**2 + 2. Let a be p(-2). Suppose g + a*g - l = -14, 4*l = -4*g + 8. Is 15 + g*6\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*(-245)\/588?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24324 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765 = 117*f - 32*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -l - 2, 9*n - 11*n = 5*l - 6. Calculate the remainder when 52 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 2*i**2 - 2*i + (0*i + 3*i - 2*i)*(3*i - 5*i + i) - 1 + 1 - 2*i**2 - i**2 + 0*i**2 + 3*i**2 - 11*i**2 + 27*i - 27*i.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-832)\/40 - 1\/5. Let a = g + 94. Calculate the remainder when a is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9 = -0*n. Let p = n - 0. What is the second biggest value in 0, 1, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.9 - -39.6. What is i rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(-106*k**2 - 98*k**2 + 44*k**2)*(0*k**2 + k**2 + 0*k**2) to the form h + m*k + y*k**2 + g*k**4 + w*k**3 and give g.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 7*a - 923. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*y = -7*y - 48, 87 = 2*w + y. Suppose 5*r - w = -19. Solve -2*t - j = 5, 0*j - 5*j = r*t + 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 52*m**2 - 632*m - 248. Calculate n(32).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 167\/4 - 42. Suppose -3*h - 665 = -23*h - 625. What is the third smallest value in -1, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(208) + 2*sqrt(208))*-2 + sqrt(208))\/sqrt(4))\/((sqrt(6912)*-1)\/(sqrt(48)\/sqrt(4)*3)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 8:59 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 2, 1, 3.\nAnswer: 1, 2, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 49*j**3 + 2*j**2 - 2*j + 1. Give d(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 29*t**2 - 200*t - 32. Let r be b(7). What is the third biggest value in 5, 0.3, 0.1, r, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from xux.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*p = -0*p - 252, 0 = 3*p + 9. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21144, 42288, 63432, 84576, 105720?\nAnswer: 126864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k - 4*c + 64, -2*c = -2. Let m = 25 - k. Calculate the highest common divisor of m and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 13*i + 4. Let z be i\/((-2)\/(3 - (-8)\/4)). Solve -u + 10 = -z*f, 0 = -3*u - 2*f + f - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 12*m + 98. Let u = -14 + 49. Calculate the remainder when u is divided by l(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6667973nm to micrometers.\nAnswer: 0.0006667973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16408*a = -9103*a - 58440 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 + -102. What is the greatest common factor of w and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Let v be (3\/9)\/(2\/4)*6. Suppose 3*m = -5*n + 33, -v*n = -0*n - m - 23. Solve -2*p - n = -k*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 13) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -13*l + 7. Let d be r(7). What is the remainder when (-2)\/(3\/69*-2) is divided by 2\/(-7) + (-528)\/d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43573?\nAnswer: 43573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19781 + 1529 = -27*q. Let x(d) = 2037*d - 683*d - 679*d - q*d. Let m(o) = -3 + 3 - 43*o. Calculate x(m(c)).\nAnswer: 43*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 528, -661, -5.\nAnswer: -661, -5, -2\/11, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/4 bigger than 301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(132\/(-8) - (-6)\/4). Calculate the remainder when 262 is divided by 480\/150*m\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 13*q + 3*i - 3 = 0, 0 = -2*q + 4*i + 24. Let m(w) = -w**3 + w**2 + 2*w. What is the lowest common multiple of m(-2) and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h = 12*h - 500 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from uxuuxuuppuluuuuuxux?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47.6525 + -0.0525. Let p = -1171 - -1129. Let h = p + y. What is h rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 8, 5*i - 6*g - 23 = -2*g. Calculate the remainder when 4 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96\/9*609\/58 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 24108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**4 + 16*g**3 + 472*g - 7. Let v(r) = -5*r**4 - 17*r**3 - 468*r + 8. Let f(n) = 7*v(n) + 8*y(n). Find the second derivative of f(a) wrt a.\nAnswer: 60*a**2 + 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38210599 divided by 7.\nAnswer: -5458657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.31 times 4?\nAnswer: -9.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*z + 2*z - 13, 0 = m + 4*z - 20. Calculate the smallest common multiple of m and 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 33244805.2\nAnswer: -99734415.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -76705110363 from 1650.\nAnswer: 76705112013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 712904.3 micrograms?\nAnswer: 0.0000007129043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6386134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**4 + 5*f**3 + 60*f**2 = 0. Calculate f.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -237 - -582. Calculate the highest common factor of v and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86658 and 8679?\nAnswer: 22791054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*c - 100*c + 251*c + 537*c.\nAnswer: 807*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 58 + 172 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215*i**4 - 1052*i**3 - 855*i**2 - 151 wrt i.\nAnswer: 5160*i - 6312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1452 - 524. Suppose 0 = 7*z - 192 - y. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*1)\/(1\/(-2)). Let u be (-17)\/(-4) - l\/(-16). Put u, -4, -3 in descending order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 558\/13? (a) -3 (b) -2867 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 244631.5 and 0.3.\nAnswer: 244631.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1250 is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 - 273 + 440*z**2 - 7*z**2 + 273 as v*z + m*z**3 + y + f*z**2 and give f.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6441770 by -458.\nAnswer: 14065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 - -232. Suppose 5*z - 2 = s. Calculate the greatest common divisor of z and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 z, and 1 o when three letters picked without replacement from smzzzmzosmmmzzzmzm?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122 + -47. What is the remainder when x is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1844 divided by -922.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 343 in decreasing order.\nAnswer: 343, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 8\/19, 4\/7, 1, 62, -4, 5\/3?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*w + w**2 + 2*w**3 + 25*w - 6*w**2 + 2*w**2 - 2 - 4*w**4 to the form y*w + r*w**3 + z*w**2 + x*w**4 + s and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 12:58 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4020, -16770, -38020, -67770, -106020, -152770, -208020?\n\"Answer: -4250*g**2 + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and 1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -38. Let s = 4.5 - k. Which is the second biggest value? (a) -2\/19 (b) s (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 566 = 584. What is the smallest common multiple of t and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6\/11)\/w**(-2\/17)*(w*w**(-2\/3))\/(w*w**4*w) assuming w is positive.\nAnswer: w**(-3419\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**4 + 2*a**3 + a**2 + 2. Let z(u) = -u**4 - 4*u**3 - u**2 - 3. Let i(l) = -3*q(l) - 2*z(l). Factor i(k).\nAnswer: -k**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 6*u**2 - 5*u + 4. Let d be y(-5). Suppose 3*x - 16 = -d. Let s(z) = z**3 - 5*z - 2. Does 14 divide s(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235\/4 < -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of (-12)\/(-15) + -2 + (11 - 4298467\/(-85))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -244 - -244. Let w = -2 - -7. Solve 4*j + 5*s + 2 = 0, -5*j - 5*s + 0 - w = y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3794306 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 638 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 103125, 103124, 103123?\n\"Answer: -t + 103126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 - 3 = 0. Does 4 divide ((-4)\/4)\/(t\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + (sqrt(76)*3 - sqrt(76))*-4)*-4)\/(sqrt(256) - -2*sqrt(256) - (sqrt(4) - sqrt(36)*1))*-3.\nAnswer: -42*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -82. Suppose -3*d - 120 = d. Let k be -3*4\/d*10. Calculate the greatest common factor of k and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*o + 29 = -5, 2*u + 4*o = -20. Solve 10*j = 12*j + 4*h - u, 0 = 3*j - 4*h + 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18140.6 - -20191. Round f to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000050123369 rounded to 7 dps?\nAnswer: -0.0000501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 68896 = -0*s - 4*s, -3*s + 12 = 0. Let k = g + 10766. Let w be k\/4 + 21\/14. What is w rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 209 + -6?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442 minus 5?\nAnswer: -1447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(171) + -5*sqrt(171)*-5)\/((sqrt(9) + (sqrt(9) - (sqrt(9) - (sqrt(9) + sqrt(9)*4 + sqrt(9)))))*-5).\nAnswer: -26*sqrt(19)\/35 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - a = 99, -r + 22 = -2*a - 1. Suppose -r = 2*g - 7*g. Let i = g - -9. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 468900?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 221367294 times 0.02\nAnswer: 4427345.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**4\/24 - 3*m**3\/2 + m**2 - 3*m - 13. Let i(k) = k. Calculate 3*i(l) + y(l).\nAnswer: 2*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1))**(-32))**14*((u\/(u**(-1)\/u))**(-2\/141))**(-2\/15) assuming u is positive.\nAnswer: u**(4\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 26*p + 82. Let f be j(5). Solve -f*r = -36 + 46 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2777, -11114, -25007, -44456, -69461, -100022?\nAnswer: -136139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6428 is divided by 692.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.8 - -3.9. Let r = 989\/91 + -75\/7. Let c be -11 + 11 + -8 + 4. Put 5, r, c, h in descending order.\nAnswer: 5, r, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjyrjrjjryjrijjjj. Give prob of picking 1 r and 1 f.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48181123 and 443.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.718 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*a**2 - 3 - 3*a**4 - 4*a**2 - 18*a - 7*a**2 - 61*a to d*a + k*a**2 + t*a**4 + f*a**3 + x and give d.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 3252?\nAnswer: 52032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63 + -63 - (-16)\/6. Let o(u) be the first derivative of 0*u**4 + 0*u**2 - 3\/5*u**5 - w*u**3 + 1 + 0*u. Find the third derivative of o(k) wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94563 and 532.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/504 and -131\/4032?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717590 is divided by 3169.\nAnswer: 3161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(0 + 1 + 2)*(-23*f + 5*f - 3*f).\nAnswer: -63*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 3. Suppose -2*f - f + s = 0. Suppose 6*v = 3*q + v + 44, -28 = 5*q + f*v. Are -9 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.1, -3\/7, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 times -0.05?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 608, 1211, 1814, 2417?\nAnswer: 3020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 13*u**2 - u - 13. Let j be g(-13). Suppose 0 = -i - j*i + 11. Calculate the greatest common factor of i and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226 - -237. Suppose -21 = 8*k + f. Sort k, -3, -2, 44 in increasing order.\nAnswer: k, -3, -2, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41.2 and 1.48.\nAnswer: 42.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/12160 and -101\/320?\nAnswer: 12160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 - -7) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6128.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16620, 16848, 17138, 17520, 18024, 18680, 19518, 20568?\nAnswer: 21860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 3.5. Let d = 1 + l. Sort d, 0, -4 in descending order.\nAnswer: 0, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + -81 + 0 + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 170*k**2 + 167*k + 87. Let l be r(84). Let g be (-1)\/(-4) + (-1)\/4. Solve -2*w - 6 = -x, 4*x - 3*w - 11 - l = g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 0 - (-1 - -1). Let a be -9 + 1261\/91 + -5. What is the second smallest value in a, 4\/7, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 295390 and 20.\nAnswer: 590780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-415)\/83)\/(15\/123)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1696573 times 3.05\nAnswer: 5174547.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*w = -114*w - 4842. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 127 = 3*c, -s - s + 233 = 5*c. Let y = c - 21. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725557307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-77592)\/(-71126))\/(8\/(-11))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 21, 32, 43, 54?\n\"Answer: 11*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 + 3)*(-4*i + 2*i + 4*i + 2 + (-26*i - 22*i + 4*i)*(0 - 2 + 3)).\nAnswer: 294*i - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -223*p - 161. Let k(z) = -583*z. What is k(f(i))?\nAnswer: 130009*i + 93863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34132 is divided by 10547?\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*c + 6. Let v be c - 3\/(-3) - 2. Suppose -4*w + 3 + 5 = v. Solve 0*o - o = w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*(((sqrt(1539) + sqrt(1539) + sqrt(1539) + -1)*3 + 1*sqrt(1539) + -3)*6)**2*-4.\nAnswer: -1866240*sqrt(19) + 266001408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/3*-1 - 29. Let i = n - -15. Does 8 divide (-88)\/(-5) + (-6)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**0*m)\/m*m)**36*(m\/(m*m**(-2\/9)\/m*m))**50)\/(m**2*m*m**(-1\/10)\/m*(m\/(m**(2\/3)\/m))**(-37)) assuming m is positive.\nAnswer: m**(14989\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, -0.19, -0.02, -24, 1, -4, 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -2) + (-3 - (0 + -3)) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 7*x + 102. Let o be n(14). Solve o = -2*h - 6, 5*i + 4*h + 45 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:46 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/40*15*10\/(-420).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 53061?\nAnswer: -53060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61138*l**3*s**3 - 45*l**3*s + 17*l**2*s**3 + 4*l*s**3 + 17144*l + 3*s**3 wrt l?\nAnswer: 366828*s**3 - 270*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247, -2101, -7143, -16969, -33175, -57357?\nAnswer: -91111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**8\/20160 + f**5\/12 - 20*f**2. Let s(k) be the third derivative of n(k). Let w(y) = -67*y. Determine w(s(p)).\nAnswer: -67*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 44, 46, 48?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -20*l. Let w(z) = -4*z. Let d(y) = 3*y. Let x(c) = -5*d(c) - 4*w(c). Calculate x(h(t)).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 5, 21, -12.\nAnswer: -12, -6, 3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-7\/2)*i*i*i*i**(5\/4)*i assuming i is positive.\nAnswer: i**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 10*y**2 - 1\/60*y**5 + 0 - 7\/24*y**4 + 0*y - 2\/3*y**3. Calculate x(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 8816?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 11:56 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -2\/13 (c) -60 (d) 0 (e) 80\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:20 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -4*z**3\/3 + z**2\/2 - z - 53. Let m(g) = 1 - 1 + 2*g - g + g**2. Determine 2*m(h) + p(h).\nAnswer: -2*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217019771 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/11 - 11644*c**2\/11 - 116240*c\/11.\nAnswer: -2*c*(c + 10)*(c + 5812)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(3)*-2 - sqrt(6))\/(sqrt(75) + (sqrt(75) - (sqrt(75) - (-2*sqrt(75) + sqrt(75)))) - sqrt(3)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1150420 + 521?\nAnswer: -1146566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 771505294.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 3. Let i be q(-6). Let v be (i\/(-5))\/((-4)\/20). Sort 4, v, -4 in descending order.\nAnswer: 4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404.75 smaller than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 61*t + 11. Let m be v(9). Suppose -m = -6*y - y. Let a = y - 51. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-1 + (-3*(-1 + sqrt(68)) + sqrt(68) - sqrt(68)) - 1*sqrt(68)*-5*3))*1*-6)**2.\nAnswer: -3456*sqrt(17) + 352656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 692274.1ng to tonnes.\nAnswer: 0.0000000006922741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + u + 4, -10*u = -6*u + 40 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 262815374 to the power of 1\/3, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2970 divided by -44731\nAnswer: 2970\/44731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 111 = -y, 5*b - 118 = y + 177. Let w be (63\/(-3))\/(-7) - 1*37. Let t = w + b. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*c + 0)*((-1 - 4 + 0)*(c**2 + c**3 - c**2) + c**3 - 4*c**3 - 2*c**3 - c**3 + 0*c**3 - c**3 + (2*c**2 + 3*c**2 - 7*c**2)*(3 - 3 - 2*c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/27 - (-8)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/3, 5\/6, 0.5, 0.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -h + 3*g, 2*h = 928*g - 931*g + 92. What is the remainder when 1369 is divided by h?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12832*s + 12782*s + 1500 = 0 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/91 - (-9)\/21. Which is the closest to -1\/8? (a) -2\/3 (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 156*t - 747. Calculate the least common multiple of 11241 and p(5).\nAnswer: 123651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.02 (c) 1\/3 (d) -1\/4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -42*x**2. Let q(m) = -30*m + 2. Calculate q(h(l)).\nAnswer: 1260*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 14 - -4) + 5 + -1 + 3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 865*u**2 - 7*u - 757. Let y(c) = -862*c**2 + 6*c + 751. Let f(b) = 3*p(b) + 4*y(b). What is the second derivative of f(i) wrt i?\nAnswer: -1706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 46*l - 100. Determine m(48).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 9 + 1)*(-4*u - 3 + 3) + (2 - 3 + 2)*(2*u + 0*u - u) - u + 0*u - u)*(-2 + 3 + 1).\nAnswer: -58*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -27 and 16889691.\nAnswer: 16889664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 0.1, 78\/23, 5, 1\/31 in decreasing order.\nAnswer: 5, 78\/23, 0.1, 1\/31, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3129, -4, 57?\nAnswer: 3129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16319246467 + -16319246641.00000069. Let z = 404 - 578. Let q = h - z. What is q rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/2 - 13707*v**3 + 27413*v**2\/2 = 0. What is v?\nAnswer: 0, 1, 27413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -2851792650.\nAnswer: -2851792655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2273 - 2 - (4 - 11). Suppose 690 = 2*p - 2*a - 440, 4*p + 5*a = r. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-30))**(-3\/7)*b**(-27)*b\/(b**(-11\/5)\/b*b*b) assuming b is positive.\nAnswer: b**(-1348\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 33 = -5*u, v + 137*u - 140*u = -10 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 28*j = 3*j - 225 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1\/6 (c) -2\/7 (d) -33\/7 (e) 111 (f) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3759\/4, -1\/489, -4\/7 in decreasing order.\nAnswer: 3759\/4, -1\/489, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 0.4, -2, -3, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s**3 + 6*s**2 - 6*s + 6. Let q(n) = 9*n**3 + 5*n**2 - 5*n + 5. What is 5*c(l) - 6*q(l)?\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1369874957*b - 1369874947*b + 8 + 5*b**2 - 8.\nAnswer: 5*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.9 + -372494781.825.\nAnswer: -372494791.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/3*(-1 - 2). Suppose -y*g = 21*g - 3332. Calculate the remainder when g is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 7\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150586 is divided by 100.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 305?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000108501013 to seven decimal places.\nAnswer: 0.0001085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14479702*f**3 + 16764444 wrt f.\nAnswer: -43439106*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 3*o + 4*o)*(o + o**3 - o) - 36*o**2 + 0*o**4 + 3*o**4 - 4*o**4.\nAnswer: o**4 - 36*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 338c - 3?\nAnswer: 3389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**7\/945 + o**6\/540 + 2*o**5\/135 - o**4\/27 - 30*o**2 + 1. Factor a(h).\nAnswer: -2*h*(h - 2)*(h - 1)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 224 - 353. Let j = s - -134. Find w such that -1\/4*w**3 - 1\/2*w**4 + 0 + 0*w + 1\/4*w**j + 1\/2*w**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 6*m. Suppose z = 2*s + 7, m*z + 4*s + 7 = z. What is the remainder when 34 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -46. Let x(c) = c**3 - c. Let z(i) = -i**3 + 5*i. Calculate h*x(l) + z(l).\nAnswer: 2*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 229*n**2 - 235*n**2 + 2*n**3 - 2*n**3 - 17 + 9*n. Let x be f(5). Solve 0*z + 3 = 4*z + i, -2*z - x*i - 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-404)\/34 - -4 - (-2)\/(-17). Let a(q) = -8*q + 5 - 17 - 12. What are the prime factors of a(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.6293 millilitres in litres?\nAnswer: 0.2996293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30102102 - 3?\nAnswer: 30102033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32\/29 or -1?\nAnswer: -32\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002020022 (base 4) to base 5.\nAnswer: -32131413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*t**4 + 3*t**4 + 135 - 90*t + 10*t**3 - 60*t**2 + 5*t**4 + 3*t**4.\nAnswer: 5*(t - 3)*(t - 1)*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00294199 rounded to four decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15263, 30473, 45683, 60893?\nAnswer: 76103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*1\/(-4) + 30\/24. Suppose 5*i + 8 = -4*s, 5*s + 2*i - 7 = -0*i. Solve -c + 12 = s*c + 4*r, g = -c + 5*r - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 + 239. Suppose 39*a - 30956 + 29435 = 0. What is the greatest common divisor of a and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -3\/19 (b) -5 (c) 9\/490\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 314127\/9185*(-1)\/(-9)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l**3 + 10*l**2 + 4*l - 62. Let b(y) = -y. Let t(u) = -4*b(u) - f(u). Differentiate t(x) with respect to x.\nAnswer: 27*x**2 - 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152))\/(-1*sqrt(8)) - ((2 + (sqrt(76)*2)\/sqrt(4))*-3)**2.\nAnswer: -720 - 69*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/((q**(-2)\/q)\/q)*q\/(q\/(((q*q*q**11*q)\/q)\/q))*((q*q**2*q)\/q)**2 assuming q is positive.\nAnswer: q**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1287065 - 10.\nAnswer: -9.8712935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (9 + -13) - 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 74.956317972.\nAnswer: 75.056317972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17120475 and -0.1?\nAnswer: 17120474.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q - 30. Let u(z) = 7*z**2 + 1. What is the remainder when q is divided by u(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**20*m*m\/(m*m**26\/m*m*m))\/((m*(m\/(((m*((m*(m*(m*m**24)\/m)\/m)\/m)\/m)\/m)\/m))\/m)\/(m*m\/(m*m**12*m)*m)) assuming m is positive.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13945 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 6:48 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/20)\/(10\/(-12) + 1). Let m be (-11)\/4 + y - 171\/252. Suppose 0 = -0*u + u. Is u greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**3 - 22*z**2 + 15*z - 21. Determine m(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l - 5. Let k(v) = -7*v + 11. Let o(b) = -9*a(b) - 4*k(b). What is o(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 78*w**2 + 272*w - 840.\nAnswer: -2*(w - 42)*(w - 2)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-17 + 17)\/20)\/2. Solve -18*y - 126 + 72 = j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 3*q**2 - 5*q**2 + 2*q**2 + 2*q**2 + (-1 + 1 + q)*(-5*q + 4*q + 0*q) - 5*q + 0*q - 6*q - 2*q**2.\nAnswer: -q**2 - 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a factor of 704582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1179046 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t. Let x(l) = -6*l - 5. What is a(x(z))?\nAnswer: -42*z - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + l + 5417 + 28540 = 0, -3*l = 4*s - 45289. Calculate the greatest common divisor of 32 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 259633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15136 (base 7) to base 5\nAnswer: -113232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from {e: 1, b: 2, x: 11, z: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1139*o - 30754. Let k be v(27). Suppose 8 = -4*f - 0*f. Put -3, f, k, -5 in descending order.\nAnswer: k, f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 729047464 divided by -182261866.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 59, 1, -4 in increasing order.\nAnswer: -4, 0, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-495)\/15*98\/(-231).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-7\/3)*a\/(a\/a**10))\/(a**11\/a**(-7)))**24)**(-1\/6) assuming a is positive.\nAnswer: a**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i. Let p(v) = v**3 - 7*v**2 + 7*v - 3. Let h be p(6). Let z(o) = -h*o**2 - 14 + 14. Calculate z(f(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2910 times -333\nAnswer: -969030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2\/21 - 34*a\/3 + 1240\/21 = 0 for a.\nAnswer: -124, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1130 divide 29003890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -172424241 to the nearest 100000.\nAnswer: -172400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8915 is divided by 47?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91673912 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) -3 (c) 14 (d) 3229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46631, 83324, 120005, 156668, 193307, 229916?\nAnswer: 266489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-15)*g**(-2\/3))\/(g*(g\/((g*g\/(g\/(g*g\/(g**(-2)\/g))*g)*g)\/g)*g)\/g)**27 assuming g is positive.\nAnswer: g**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + sqrt(2448) - (5 + -1*sqrt(2448)) - (sqrt(2448) + sqrt(2448) + -1 + -3 - (-2*sqrt(2448) + -1 - sqrt(2448) - sqrt(2448))))**2.\nAnswer: 192*sqrt(17) + 39172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4540 + -3372. Calculate the highest common factor of 80 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 2 - 3)*(1 + 0 + 1) + 102 - 64 + 14)*(-6*v**3 + 8*v**2 - 8*v**2) to s + o*v**2 + a*v**3 + h*v and give a.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/108 + 148\/48. Suppose i*n + 533 = 1943. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-60)*2*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -649 + 1105 = 4*a. Suppose 3*t - 75 = -0*f + 4*f, 2*t = -3*f + 67. Calculate the remainder when a is divided by t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {s: 1, p: 3, q: 12, k: 1, n: 1, z: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 36. What is o(23)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 480947913.149296816 - 13225460148.149295446. Let y = -12744512323 - w. Let q = -88 - y. Round q to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1)*(-2 + 2 + 2*a) + 0 + a + 0 + 2*a - 5*a - 8*a + 10 in the form u + k*a and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (188 - 215) + (4 + 0 - 34)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**17*((w*w**(-1\/6)*w)\/w)\/w**(-3)*((w\/w**(-1))\/(w*w\/w**(2\/7)))\/(((w*w**(-6)*w)\/w*w)\/((w*w**(-1\/3)*w)\/w)) assuming w is positive.\nAnswer: w**(123\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z. Let t be r(-1). Solve 4*h - 3*h + q = 1, -t*q = -2*h + 23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10 + 34 = 0. Let d(j) = -6*j**2 - 4*j - 1. Let g be d(2). Let p be (-16)\/(((-36)\/g)\/(-6)). Calculate the highest common factor of p and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-45) + 28\/15. Suppose 3*r = 9, x*r = -3*k - 3*r. Let s = -1 - -5. What is the nearest to 2\/15 in s, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*p + 8, -2 = m - p + 2. Let l be 1*1\/(-2)*m. Let j be l + 1 - -2*2. Calculate the greatest common divisor of 20 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -205 - -107. Let g = 104 + c. What is the greatest common factor of g and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1663*l**3 - 34*l**2 + 11 wrt l.\nAnswer: -9978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001326 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Let j = 4 + -4. Suppose -2*r + 1 + 5 = j. Is r < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113448776*n**3 + 124849332*n**2 wrt n?\nAnswer: -680692656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.276047764 and -26021?\nAnswer: 26021.276047764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -1.599, -0.5?\nAnswer: -1.599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -35*h**5 + 15795*h**4 - 4370*h**3 - 63180*h**2 + 18040*h = 0.\nAnswer: -2, 0, 2\/7, 2, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52719*s**4 + 68*s + 9676308 wrt s?\nAnswer: 210876*s**3 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 + 14*c**2 - 29*c**2)*(-59*c**3 + 11*c**3 - 13*c**3).\nAnswer: 1281*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 - -116. Let d(t) = 3*t - 45. Let p be -19 + 19 + (2 - 1 - -18). Calculate the least common multiple of d(p) and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-333.02025\nAnswer: 166.510125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:39 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -504, -1048, -1592, -2136?\n\"Answer: -544*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 75\/2 of a meter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 + 3. Let z(v) = 6*v**2 + 4. Let c(g) = 4*b(g) - 3*z(g). Let o(q) = -5*q**2 - 6*q**2 + 4*q**2. Calculate c(o(d)).\nAnswer: 98*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l - 7*l - 18*l)*(2*l + l - 5*l)*(-19*l**3 + 10*l**3 + 8*l**3).\nAnswer: -64*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + g = 2, 4*c - 5*g = -3*g - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*o**3 - 85 - 87 + 198*o**3 - 97*o**3 + o**2 to the form v*o**3 + l*o + n + z*o**2 and give n.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 8*r**2 - 2*r + 8. What is w(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81.7595 - -0.0405. Let q = -81.4 + k. Let x = 35 - 16. Which is the nearest to x? (a) q (b) 2\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, 2, 1\/7, 1133, 1\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/3 - 2\/(-6). Let i(u) = u - 1. Let d be i(t). Let o(v) = 3*v - 6. Let z(y) be the first derivative of y**2 - 5*y + 611. Calculate d*z(x) - 3*o(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 - 2*h + 7. What are the prime factors of m(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134175324 + -4\nAnswer: 134175320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.151 - -0.559. Let b = -0.39 + 0.02. Let s = b + x. What is s rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 6. Calculate y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/18 and 99\/462*46\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 10*i**2 + 12*i + 1. Let x be q(11). What is the highest common divisor of x and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1136 + 1276 = 5*h + 3*j, 0 = 2*h + 2*j - 60 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1919 - 5.55671.\nAnswer: -1924.55671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 5*v + 6. Suppose -l = 4*m + 1 - 16, 3*l = -4*m + 5. Determine n(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*p - 29*p - 108080. Let y = p - -1355. Let z(n) = -9*n + 17. Let b(u) = -4*u + 8. Let c(m) = -7*b(m) + 3*z(m). Calculate c(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**4\/9 - 2*l**3\/27 - 13. Factor v(r).\nAnswer: 2*r**2*(2*r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h + 43811 + 4069 = 0. Is 105 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -57, -79, -99?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -188612135.000111 + 188611876. Let g = 259 + l. Round g to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*q - 105233 - 53255. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4154531 (base 6) to base 3\nAnswer: 101021000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z**3 - 2*z**2 + z + 1. Suppose 10 = 5*s - r, -3*r = 3*s + 54 - 42. Determine l(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/5 + 19458*v**2\/5 + 9463398*v - 9467290.\nAnswer: 2*(v - 1)*(v + 4865)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/53*(-36)\/((-648)\/(-3)).\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (sqrt(475)*-2)**2) + 3 + ((2*sqrt(114)*-3)\/sqrt(6) - sqrt(76)\/(sqrt(324)*1)).\nAnswer: -7585 - 55*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q**3 - 2*q**2 - 10*q + 11. What are the prime factors of d(4)?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 27*b**3 + 203 + 98.\nAnswer: 27*b**3 + 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37758 - -37760. Solve 0 = 5*n + o + 28 + b, 5*n - 15 = 8*o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40030 is divided by 144?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/10)\/(y**(4\/3)\/y*y)*y**(2\/153)\/(y*y**(-1\/22)))**(-26\/9) assuming y is positive.\nAnswer: y**(519584\/75735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 0.074?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(((g**(1\/2)*g)\/g*g)\/g))**(2\/157)\/(((g\/g**4*g)\/g)\/((g*g**(7\/2))\/g)))\/(g**(-2\/13)\/g**6)**46 assuming g is positive.\nAnswer: g**(1182079\/4082)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 26.014. Let r = v + 0.986. Put r, 2, 0.1 in increasing order.\nAnswer: 0.1, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/60 + 17*f**4\/8 + 13*f**3 - 63*f**2. What is the hundreds digit of g(41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-1)*((-861)\/175 + 5). Which is the nearest to 1? (a) n (b) -2\/13 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68698*u**2 - 68696*u**2 - 1 - 28*u + 1158*u)*(-u + 2*u - 2*u).\nAnswer: -2*u**3 - 1130*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - 89 + 89 + 13*b - 19*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**39*c**(-3\/22)\/c)\/((c**(-32)*c)\/c**(5\/7)))**(-13) assuming c is positive.\nAnswer: c**(-139295\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -59, -134, -239, -374, -539, -734?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25263 - 25262.9. What is the closest to 1773 in 3, 0.4, z, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70352.05nm to millimeters.\nAnswer: 0.07035205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 9:07 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1731060 take away 2686482.6?\nAnswer: -4417542.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 y, 1 o, and 1 p when four letters picked without replacement from pfsssfqyysssqso?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/6*(-4)\/3. What is the third derivative of -10*l**r + 203 - 203 - 6*l**5 wrt l?\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*-1*sqrt(5) + sqrt(5))**2 + (sqrt(320)*3)**2 + (-2*sqrt(1080))\/(sqrt(6) + sqrt(96)*2).\nAnswer: -4*sqrt(5)\/3 + 2960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*3)\/3*(-24)\/(-5700)*-5.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -22 (c) 0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 + -3455?\nAnswer: -3541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(-1\/2)*z))*z**3*(z**1\/z)**13)\/((z*z\/(z*z**7)*z**(-5))\/(z**(-3)\/(z\/z**(-4)))) assuming z is positive.\nAnswer: z**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (1 + 3)) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -63.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2908?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**3 + 6*z**2 - 7*z + 1. Suppose -3*l = 2*l + 25. Is f(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9431743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11403 is divided by 119?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 337 = 3*u - 4*u, 3*r - 4*u = 332. Suppose -44 = -12*s + r. What is the least common multiple of 10 and s?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 32.99. Let v = 89.7 - 89.6. Put v, 4, d, -4 in decreasing order.\nAnswer: 4, v, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5888, 11673, 17458, 23243?\nAnswer: 29028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllll. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25025 = -1233*h + 7763 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51995 and 850.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (-35 - -47) + -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/9)\/l**(-12) assuming l is positive.\nAnswer: l**(109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 8:48 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3999599 is divided by 2525.\nAnswer: 2524","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*h - 2655 + 870 + 882 + 870)*(h**3 + h**3 - h**3) to the form t*h + r*h**3 + q + k*h**4 + j*h**2 and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 29 (c) -3 (d) 0.2 (e) 2\/11 (f) -18 (g) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((324\/(-42))\/((-20)\/35))\/(4\/8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**3 + 5*x**2 + x - 8. Let b(w) = 23*w**3 + 15*w**2 + 3*w - 23. Let o(t) = -6*b(t) + 17*h(t). Determine v, given that o(v) = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1 + 38*f**2 - 7 - 39*f**2 + 8*f + 4. Give m(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27193481?\nAnswer: 7, 554969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*j**4 - 2*j**3 + j - 2*j - 491 + 491 as c*j**4 + v + k*j**3 + t*j + x*j**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100.3 - -96. Let z = s - -4.29999915. Round z to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -102875b?\nAnswer: 102875b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3010.021ml to litres.\nAnswer: 3.010021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21, 120, 381, 882, 1701, 2916?\n\"Answer: 13*m**3 + 3*m**2 - m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 0*a + 1 - 4*a**2.\nAnswer: -4*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*k - 4 = 4, 40 = -5*i + 5*k. Let c(g) = -11*g**3 + g**2 + g - 1. Let n be c(i). Let u = 504 - n. List the prime factors of u.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4614 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87298 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - -43 - (-3 - -2 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 23. Let t be x(10). Let y be (-47)\/(-2)*6\/3. Suppose -5*n - 18 - y = -m, 0 = 5*n + 2*m + 50. Which is greater: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59953557*f**3 + 8339*f**2 - 1405*f wrt f?\nAnswer: -359721342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 3, 0, -3?\n\"Answer: -3*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**4 + 96*k**3 - 460*k**2 - 384*k + 1904 = 0.\nAnswer: -2, 2, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3))**(-1\/6)*(p**(-1))**(-2\/17))**(5\/8) assuming p is positive.\nAnswer: p**(95\/2448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**4\/12 + r**3 - 23*r**2. Let s be (-3)\/(-7) + (-78)\/(-14). What is g(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 76\/18 + (-6)\/27. Suppose 0 = l + o - 6. Suppose 7 = l*g + y, g + 2*g = y + 8. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**6\/40 + 3*o**5\/16 + 9*o**4\/16 + 7*o**3\/8 + 3*o**2\/4 - 107*o - 2. Solve v(y) = 0 for y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (27 - 34 - -8).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 792541 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4 + 45*j**3 - 42*j**2 = 0. Calculate j.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7119004 to the nearest integer?\nAnswer: 2668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.00625 (b) -1\/4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 19. Suppose s - i = -3*s. Calculate the lowest common multiple of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 14*l - 14. Determine a(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n. Let u be (33*(1 - -1))\/(64\/96). Let z = u - -18. Let l(c) = -117*c + 220*c - z*c. Determine d(l(v)).\nAnswer: -56*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 125364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4823.360854 rounded to the nearest 100?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, j: 5}. Give prob of picking 1 j and 1 u.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 10*x**2 + 10*x + 9. Determine h(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 18. Let r be 19\/(-3) - (-5)\/15 - 5. Determine i(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.96 - 1.06. Let x = z + -6. Let q = 22 + -21.8. Which is the closest to x? (a) q (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 24, 17, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -733 (base 8) to base 5.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 3*m**2 - 2*m - 2. Let w be k(-3). Let z = -0.4 - -0.5. Which is the closest to z? (a) -1\/4 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 6, 341*n + 5*a = 338*n + 47076. List the prime factors of n.\nAnswer: 2, 3, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 3 + 0*t**3 + 0*t - 3\/5*t**5 + 0*t**2 + 1\/4*t**4 - 2\/3*t**6. Solve z(a) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a = 25*a - 2*o + 2438, 3*o = -a + 1219. Is a a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 773*b**2 + 2*b - 1048403 - 2*b + 1048403 to the form z*b**2 + g + i*b and give z.\nAnswer: 773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3061330 - 0?\nAnswer: -3061330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66440 and 1800?\nAnswer: 2989800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/(-46))\/(1\/(-1)*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*c + 1833 = 5249 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 - 9*o + 4. Let t(r) be the third derivative of r**5\/60 + r**4\/12 - r**3\/6 + 12*r**2. Suppose -1890*p = -1913*p + 207. Give p*t(v) + 2*i(v).\nAnswer: 3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264787054 and 113480166?\nAnswer: 794361162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-690)\/(-36)*63\/(-210))\/(1\/4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39905224 by 8.\nAnswer: -4988153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*3 - sqrt(252)) + -2 + sqrt(252))*-6.\nAnswer: -108*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2000 (base 4) to base 9\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -56 (b) -5 (c) -4 (d) 49\/9 (e) 2\/5 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 38*v**3 + 3*v**2 + 4*v - 17. Is o(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 2*i + 2. Let j = 20 - 13. Let g = j - 13. Let a(b) = 5*b**2 - 11*b + 11. Calculate g*a(h) + 33*f(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5046819 smaller than 5046817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p + 1\/6*p**3 + 2*p**2 + 0. Let y = -10 - -7. Calculate d(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -267*g + 87*g + 594 - 4698 - 9036 for g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*l = -307 + 749 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s + 784 + 17416. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 - (-3 + 2\/(-1) - (-165)\/(-2310)*98)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541 + 2*z - 4*z - 541.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5145479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**4\/24 + 5*b**3\/3 + 2*b**2. Let z be y(8). Let a = 0 + z. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 31 - 62 + 4*g**2 + 200 - 61.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 9:55 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 42 = -4*v, -2*v - 2*b = 21 - 67 - 44 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12766)\/1232 + 110\/26400*90 + 10*1?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11760604.8211 - -11761548.82110998. Let p = -944 + s. Round p to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -551222 + 805365. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 13. Let q = 7 - w. Is (q\/3)\/((-1)\/39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2158 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 prob of picking 2 u when two letters picked without replacement from uuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z**2 - 7 + 7)*(-4*z - 5 + 5)*(-4 + 0 + 5).\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (14 - -8) - -6) + 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.133*0.02\nAnswer: -0.00266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - 10*i**3 - i + 5*i**3 + 6451*i**2 - 6653*i**2 to n*i**2 + o*i**3 + m + t*i and give n.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*-2 + (sqrt(17) - -5*(-2 + sqrt(17))) + sqrt(17))**2 + (sqrt(544)\/sqrt(2) - (1*sqrt(51)\/sqrt(3))**2).\nAnswer: 144*sqrt(17) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17943101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**4 + 950*s**3 - 6*s**2 + 5617*s - 3 wrt s.\nAnswer: -36*s**2 + 5700*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 - 94. Let f(d) = 4*d - l - 13*d + 22 + 24. What are the prime factors of f(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123+-379908.189\nAnswer: -379785.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109 by 4732.\nAnswer: 109\/4732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 339 + -3053\/9. Let m = 8 + -13. Which is the nearest to 0.06? (a) p (b) m (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2. Let l(a) = a + 3. Suppose 10*u - 7*u = -6. Let i be 3*u*(-12)\/9. Let x(r) = -2*r - 8. Let f(o) = i*l(o) + 3*x(o). Calculate d(f(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.99 + -2. Let z = -0.29 + s. Which is the closest to -0.1? (a) -1 (b) z (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10 = -0*j. Let u(q) = 0 - q**2 - 2*q - 1 - j + 8*q. What is u(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*f + 599 + 6758 = -3235 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -573694.35 less than -0.114?\nAnswer: 573694.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-36)*3*2. Let z be (-9)\/27 - 2\/(-6). Let d(g) = -g**3 + 7*g**2 + 18*g - 3. Let w be d(-2). Sort w, z, i, 6 in decreasing order.\nAnswer: 6, i, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkk. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -346*s**6\/15 + 5*s**3\/2 + 7*s**2\/2 + 11*s + 9. Find the second derivative of o(f) wrt f.\nAnswer: -8304*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3942)\/16425)\/(9\/10)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-24)\/(-9))*8\/(-102).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102626 is divided by 181.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-12)\/(-9))*12704\/(-7146)*(-33)\/(-2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 9:30 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8529730*j**3 + 13*j**2 - 9*j + 5465.\nAnswer: 51178380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*x = -3124 + 2188 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33885 - 1667765.025.\nAnswer: -1633880.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**6 - 634*f**5 - f**6 + 641*f**5 - f + 3*f**2 wrt f.\nAnswer: -240*f**3 + 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27225.972 microseconds in minutes?\nAnswer: 0.0004537662","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.2 + -6.2. Let r(j) = -j + 4. Let l be r(8). Let m be -10 + 7 - 13\/l. What is the third biggest value in q, 6, -3, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o - 3*o + 2*o + (0 + 0 - 2)*(0*o - 4*o + o) + 6*o - 16*o - 54*o - 1 + 1 - 2*o)*(2*o + 0*o - 5*o) to n + g*o**2 + x*o and give g.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 10*u = 0. Let m(f) = 4*f - 3*f - 2 + u*f + 172*f**3 + 3*f**2. What is the tens digit of m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1804 and 5412?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/29 (c) -132 (d) -2\/19 (e) 55 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654203304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 5*k**2 - 7*k. Let n be -3*((-15)\/(-25) + (-57)\/45). Let a(x) = 6*x**2 - 6*x. Let s(y) = n*i(y) - 3*a(y). What is the tens digit of s(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288337176 to the nearest integer?\nAnswer: 16980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/16 - 11\/16. Let p = -2\/21 - -8\/21. Which is the closest to -3? (a) 1 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 6*w**2 + 6*w + 6. Let q be u(7). Is -3\/8 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.146433 milligrams in kilograms?\nAnswer: 0.000009146433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/4 (b) -0.25 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 805328 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-51)\/(-170))\/((-1)\/(-5)))\/((-12)\/(-160)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x = 0. Suppose -h = 5, -2*h - 28 = -2*r + 2*h. Solve c + c + r = x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.585 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 8*z - 3. Let u(v) = v**2 - 8*v + 4. Let w(y) = 5*g(y) + 6*u(y). Give w(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.7 or 1173?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0491, -0.4, -2, 2\/43, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - 9. Let d = -22 - u. Which is the smallest value? (a) d (b) -4 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -2\/105*v**7 + 8*v + 0 + 1\/3*v**4 - 3\/20*v**6 + 1\/168*v**8 - 8*v**2 - 8*v**3 + 11\/15*v**5. Solve j(t) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 365940 to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2500 is divided by 76.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 + (-65)\/30 + 1. What is the nearest to -1\/19 in -2\/3, -4, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -505\/26 or -20?\nAnswer: -505\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11178)\/414 - (-1293)\/48?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 97, 5, 3, -9, 4, 9 in increasing order.\nAnswer: -16, -9, 3, 4, 5, 9, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -29\/5, -0.014, 1.1 in decreasing order.\nAnswer: 1.1, -0.014, -29\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18086 - 17404 = 649*w - 259*w for w.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -5, 1, 23, 67, 139?\n\"Answer: l**3 - l**2 - 8*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -513.366 - -514. Round j to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 8:51 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78151699?\nAnswer: 41, 1906139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 692 - -10. Is t a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**3 - 36486*j**2 + 31029885*j - 6383196900 = 0 for j.\nAnswer: -12972, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.522 + -31.9. Let f = -0.201 - a. Round f to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {u: 4, w: 9, z: 2, h: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 205 in decreasing order.\nAnswer: 205, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 4)\/(-1 + -1). Suppose -2*r + d - 20 = 0, -f*r = -0*d + d + 28. What is the common denominator of -53\/22 and (-2)\/r*-65*-1?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -260484, -5, -133.\nAnswer: -260484, -133, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from lplpppplpppppppppppp?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26 - 1480\/(-50))\/((-2)\/(-5)). Solve 13 = -x*o - 32 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*x**5 + 243655*x**4 + 377476*x**3 + 124177*x**2 - 19484*x - 9740 = 0. Calculate x.\nAnswer: -2435, -1, -2\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 20. Determine f(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2166 + 3911. Calculate the highest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 221. Is c a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 15475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -411 >= -410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**4\/24 - j**3 - 117*j**2. What is v(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:09 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 8. Let f = 2 - 3. Is 13 a factor of -1 + (f - h) + 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 416*a**3 - 17*a**2 + 3 wrt a.\nAnswer: 2496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/21)*d*d**7\/d*d)**(-15\/2) assuming d is positive.\nAnswer: d**(-425\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l + 6311997 = 4*w, -5*w + 7890001 = l. What is w rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 10 = -a, 0 = -2*a + m - 2*m + 6. Let d(t) = -3*t**a - 22 + 25 - 10*t + 4*t**2. Determine d(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*u + 1479 = -103 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 224719.112 to the nearest ten.\nAnswer: 224720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*6\/3 - (2 - 0). Let w be (-352)\/88 + 7\/1. Suppose 4*p + 0*l = 2*l + 22, -3*l = 5*p - 11. Put r, p, w in increasing order.\nAnswer: r, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*s - 310*s = 56 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:30 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.581 to the nearest integer.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251389369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -678*q**2 + 2*q + 2. Let w be v(-2). Let z be 1\/(-2)*w + -3. Let j = z - 14929\/11. What is the common denominator of j and -31\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljll when four letters picked without replacement from {l: 10, j: 9}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 25. Let y(m) = m**2. Let k be y(2). Suppose -3*c - k*c = -175. What is the remainder when t(23) is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1 + 2670\/712.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -167 (base 8) to base 11.\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14942 + 3691. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - 2 + 0 + 2.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1147*s**3 + 20220*s**3 - 431 + 431.\nAnswer: 21367*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 19 + 98*p - 3*p**2 + 16*p.\nAnswer: -3*p**2 + 114*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 1:07 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10010 + 100122?\nAnswer: 30112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 7*t. Let p be x(-6). Let h = -2.82 + -0.18. Let w = -0.1 - 0.4. Put w, h, p in descending order.\nAnswer: w, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(9*r - 3*r - 4*r) + (-2*r + 3 - 3)*(-1 - 1 + 4).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24\/31 + 1402\/1891. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -6. Let k be 1 + 1 - (5 + d). Solve -4*m = -2*m - k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1116 and 358932.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3450047, 3450043, 3450037, 3450029, 3450019, 3450007?\nAnswer: 3449993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 927 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-6)*(-24)\/64*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -124 + -555?\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11820 and 104410.\nAnswer: 626460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -115380*h - 1038430. Calculate z(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50668, 50671, 50686, 50719, 50776, 50863, 50986, 51151?\n\"Answer: g**3 - 4*g + 50671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 - 62*m**2 - 148*m - 1725. Give r(-29).\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.82 in 1, 22, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 40279\nAnswer: -9\/40279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 + 166 = 7*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 532928 and 99167?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 0, -3, -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 2:36 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21953606341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3 + (-1 + 3 - 1)*(-3 + 1 + 0))*(-1001*z**2 + 1001*z**2 + 163*z**4) as t*z**2 + b + k*z**4 + j*z + v*z**3 and give k.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duiiddiiiid. What is prob of sequence diid?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*f**5 - 31*f**4 - 13*f**3 - f + 67605 wrt f?\nAnswer: 520*f**3 - 372*f**2 - 78*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1002222 (base 3) to base 13\nAnswer: 4a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 0.03 in increasing order.\nAnswer: 0.03, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/751 - 245591\/5257. Let i = 47 + a. What is the closest to i in 0.06, 3\/2, -1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15769097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 4 - 2 - 4*t.\nAnswer: -4*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200662?\nAnswer: 2, 47, 53, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -596*o**2 + 405*o**2 - 587*o**2 + (o + o + 0*o)*(o + 5*o - 4*o) + 3*o**2 - 3 + 3*o**2 - 4*o**2.\nAnswer: -772*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -228975*i + 43*i**3 + 226845 + 42*i**3 + 2135*i**2 + 46*i**3 - 136*i**3.\nAnswer: -5*(i - 213)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 + (3 + -3)\/(-2). Suppose 3*t + 3*x - 9 = 0, 0*t + s = -2*t + 4*x. Solve -m - 1 - 4 = t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 1 (c) 3 (d) -19 (e) -0.4 (f) -1102.9 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*k**3 + 13*k**3 + k**3 - 42*k - 27*k**3 wrt k?\nAnswer: -204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 10:06 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219872778?\nAnswer: 2, 3, 23, 1593281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + (-4 + 0 + sqrt(2736) + sqrt(2736) - sqrt(2736)) + -1)*2)**2.\nAnswer: -1728*sqrt(19) + 98640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 4 + 4)*(1 + 1 + 0)*(-9 + 3 + 0).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -7*u**4\/12 - u**3\/3 - 203*u. Let i(g) = 28*g**2 + 9*g. Calculate 9*d(m) + 2*i(m).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 2*p**2 - 2*p + 1. Let h = 3 - 2. Let i be l(h). Suppose v = -i*v + 9. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 8:45 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.7131 - -6.5131. Let y be (1*1\/(-1))\/(-5). What is the second biggest value in y, g, 1, -3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6. Let d(y) = -2*y**2 - 2*y + 2. Suppose -2*x - 3 = 1. Let c be d(x). Put k, 3, c in increasing order.\nAnswer: c, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s - 44*s = 3*d + 15, 27*d = -135 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j - 2. Let z(y) = 1851093*y. Determine z(c(w)).\nAnswer: -5553279*w - 3702186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-9))\/2*2*2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9949607 is divided by 491.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.6978903 to 0 dps.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.5065 times -0.4?\nAnswer: 52.6026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/192*74*28\/70\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1140, -2274, -3404, -4530, -5652, -6770, -7884?\n\"Answer: 2*z**2 - 1140*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 278472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**2 - 3*i**2 - 12*i - 2 + 6*i**2. What is the units digit of l(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m - 9. Let t be c(-10). Let i = t + -127\/3. Suppose 7*z = -2*z + 9. Put i, z, -5 in increasing order.\nAnswer: -5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206992 is divided by 51713.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 347*v + 13340. Determine t(-44).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9*n = 4*n + 21, 4*z - 66 = -2*n. Let y = -6 + 4. What is the smallest common multiple of ((-14)\/y)\/(4\/4) and z?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40095, 80187, 120279, 160371, 200463?\nAnswer: 240555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 11*l = 176. Let h be 19 + -2 + l\/(-4). Suppose 2*w - 21 = -5*q, 3*w + 2*w = -2*q + h. Which is the closest to q? (a) 2\/15 (b) 1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 176556588 divided by -3\nAnswer: -58852196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160*o**4 - 330*o**4 - 73*o**2 + 169*o**4 + 19*o**3 + 12 - 16 + 33*o + 130.\nAnswer: -(o - 14)*(o - 3)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 4103775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -76*b - 20. What is the lowest common multiple of 42 and q(-1)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -482, -214, -34\/9?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -5. Suppose -31*u = 115*u - 7*u - 417. Solve -7 = n*h + u*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 (base 12) in base 11?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 3*k - 8 = 1, -z + 3 = -3*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 22. Let j(t) = -t + 12. Let p(y) = -3*y + 28. Let d(m) = -14*j(m) + 6*p(m). Give h(d(l)).\nAnswer: -8*l - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 2. Let d = -287 - -284. What is v(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 - 152. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/2)\/d)\/(d\/d**(1\/5)))\/(((d\/(d**(-2\/3)*d*d)*d)\/d)\/d*d)**(-5\/12) assuming d is positive.\nAnswer: d**(-79\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 - 2*v**2 + 3*v - 1. What is the remainder when m(2) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31501 (base 7) in base 11?\nAnswer: 5944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 - 115. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/20*(-3 + 2 + 11). Suppose g = 2*o + 3*o - 23, -o - 3 = -4*g. Let b = o - r. 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 the closest to -1\/3 in 5, 4\/3, -5, -5\/2, 19?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.163548235 to 5 decimal places.\nAnswer: 0.16355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -195, -14, 0.4.\nAnswer: -195, -14, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11)\/k**13)**(4\/7)*k*k*k**(-7)*k**(-4)*k*(k**0)**(11\/5) assuming k is positive.\nAnswer: k**(-152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**5\/20 - 5*x**4\/6 + 37*x**3\/6 + 73*x**2\/2 - 66*x. Let d be p(-13). What is the highest common factor of 18 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 4, 5, -22 in ascending order.\nAnswer: -22, -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p. Let j(b) = -3 - 476*b + 3 + 251*b + 239*b. Determine m(j(n)).\nAnswer: -84*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, u: 5, z: 1, a: 6}. Give prob of sequence uaab.\nAnswer: 175\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -5, 0, 58?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 638 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2449 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -92 divided by -4\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((90\/(-70))\/9)\/1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0, -2\/7, -3\/8, -0.3, -129?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095.87741 rounded to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-10) + (-33)\/(-6))*11. Let a = t + -42. Solve -g + 5*k - 7 = 7, 0 = 4*g - 2*k + a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3. Let y(q) = -3*q**4 - 27*q**3 + 6*q**2. Let p(m) = 54*d(m) - 2*y(m). Find the third derivative of p(o) wrt o.\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125426 and 20?\nAnswer: 1254260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 369 - 333 - 1*-1*3. Solve -24 + g = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -4024041?\nAnswer: -4024041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/9 + 18781\/3. What is the units digit of m\/100 + (-6)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) - (304\/(-35))\/8. Let y = 0.3 - 0.18. Which is the third biggest value? (a) 0.3 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1237*w - 612 = 1228*w. What is the remainder when 86 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -52. Let n = -15 + y. Let l = 7 + -5. Calculate the least common multiple of n and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -35*u + 569. Let w be z(7). Calculate the highest common divisor of w and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 2*n + 1. Let r be y(-4). Let o = r + 25. Factor 0*l**3 - 4\/5*l**o + 0*l + 2\/5 + 2\/5*l**4.\nAnswer: 2*(l - 1)**2*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10522 is divided by 86?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -317245 and 2.6?\nAnswer: -824837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, -1.3, -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1171\/11 + 107. Is -2\/23 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/23428 or -1?\nAnswer: -9\/23428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 - 4. Let s(o) = 2*o**2 + 5. Determine 7*h(c) + 6*s(c).\nAnswer: -9*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6*6\/(-6)*4*(-7)\/196\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 104501 at least 104500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/459 (b) -13\/192 (c) 0.3 (d) 0.8 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let l(j) = -10571*j**2 + j - 54. Calculate l(u(o)).\nAnswer: -10571*o**2 + o - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-8 - 2)\/(-5). Suppose -13*x + 8*x = -g, 5*g - x = v. Factor 0 + 2\/3*z**4 + g*z + 8\/3*z**3 + 8\/3*z**2.\nAnswer: 2*z**2*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 26*j = 31*j + 496220, -t = -4*j + 248084. Round t to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (-19 - 1200\/(-16)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 4:45 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/21 and -169\/90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 438 - 434. Let l = -0.3 + 0.2. Let v = 0.1 + l. What is the smallest value in v, 0.1, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w - 3. Let f be b(-4). Suppose -l + t - 4 = 0, 0*l + f*t = -4*l + 29. Suppose -6*c = -c + 20. What is the third smallest value in 6, l, c?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(330) - (-6*sqrt(330) + sqrt(330)))*-1 + sqrt(330) - sqrt(330))\/sqrt(10))\/(sqrt(33)\/(sqrt(88)\/sqrt(32))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2422.474mm in meters?\nAnswer: 2.422474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 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 z(c) = c**2 - 7*c + 4. Give z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-45)\/(-48))\/(-5))\/(9*(-2)\/18).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2 + 2*m + 2. Let f be y(-2). Let k be (((-32)\/8)\/4)\/(3\/15*-1). Suppose 5*w = 2*w + 15. Solve w*u - 3*s - 15 = 0, 0 = s - f*s - k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -4.9. Sort -2, r, -1\/9 in ascending order.\nAnswer: -2, -1\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2, 33 - 1 = 3*i - 2*c. Calculate the lowest common multiple of 68 and i.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -36, 0, 0.3313?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 226394 and 415108.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5423649 and 3615766?\nAnswer: 10847298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521882 is divided by 86971?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, g: 17}. What is prob of picking 2 g?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c*f*x**3 - 28*c*f*x**2 - 25*c*x**2 + 138*f*x**3 - 8*f*x**2 - 3*x**3 - x**2 with respect to c.\nAnswer: 3*f*x**3 - 28*f*x**2 - 25*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/20*-4*4\/(-24).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11834 take away 0.25?\nAnswer: -0.36834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 - 3*f**2 + 2*f**2 - 2*f**2 + 2*f**2 - f**2 + (0*f + 3*f - f)*(2*f + f - 4*f) - f**2 + 3*f**2 - f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 419.2 + -419.235228. Round z to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 52 = c. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 22.2. Which is the closest to v? (a) -2 (b) -2\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 3\/10*n**5 - 3\/2*n**2 + 0 - 1\/2*n**3 + 1\/2*n**4 - 2*n - 1\/14*n**7 - 1\/10*n**6. Let c(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + w + 68. Calculate n(0).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 340.33 + -5.33. Which is smaller: 0.1 or x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = 327 - 279 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 748783404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 41*s**2 + 3*s - 3. Let v be h(-5). Suppose 0 = -4*f + v + 1973. Suppose -5*n + 0*n = -f. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693781916 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 15 - 9 + 0 + 24*b - 66*b.\nAnswer: -42*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/14 - (-1452)\/(-63). Which is bigger: b or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 11 + 21)*(3*q**3 - 6*q**3 + 2*q**3) + 2*q**3 - q**3 - 3*q**3 - q**3 + q**3 + 2*q**3 to the form v + r*q + i*q**2 + m*q**3 and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120009 and 22754?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39017134 + 75312025. Suppose -4*r - q = -7094891. What is r rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -237 + 237. Solve i = 94*j - 99*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, 2, -97, -71.\nAnswer: -97, -71, 2, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(960)*1*-5)\/((sqrt(96) + (sqrt(96)*-3 - sqrt(96)))\/sqrt(8) + (sqrt(1200) - sqrt(1200)*1) + sqrt(1200)).\nAnswer: -20*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -7*a**4\/4 - a**3\/6 - 53*a - 1. Suppose -2*c = 2*c - 460. Let g(m) = -c*m - 2*m**2 + 115*m. Calculate g(w(u)).\nAnswer: -882*u**4 - 84*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/(-3)*(-8547552)\/1152 + (-1 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/6 - 3\/18. Let m(y) = 4*y**2 - 5. Let w(s) = -2*s**2 + 3. Let d(g) = r*m(g) + 5*w(g). Let o(x) = -10*x. Determine d(o(h)).\nAnswer: 200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103526811?\nAnswer: 3, 131, 277, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3806 divided by 1903.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(sqrt(26)\/sqrt(2))**2)*-4.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114752 is divided by 95.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/438 and -119\/2190.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50187250 and 4923.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16119?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {h: 1, l: 1, c: 1, z: 5, s: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 20, -0.4, -0.3, -1\/3, 2, 18\/149?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at most -0.063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*d**2*p**5 + 13*d**2*p**2 - 2*d**2 - 48*d*p**5 - 7*p**2 wrt p?\nAnswer: 1320*d**2*p**2 - 2880*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggpgppgg. What is prob of picking 4 g?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = -0. Let u(h) = -h + 5. List the prime factors of u(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -24 + -56*15\/(-30). What is the closest to 0.1 in 0, -15, q, -88?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 5348315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 73683.9 to the nearest one thousand.\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z + 2. Let j be q(1). Suppose 0 = 5*f - t - 19, j*t + 10 = -2*f - 4. Solve 5*g + 3*i - 21 = 0, -f*g = -2*i - 5 - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(108) - (sqrt(108)*-3 + 5 - sqrt(108)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 2. Suppose h - n - 43 = 0, -2*h + 3*n + n = -88. Let o = h - 37. What is m(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/66)\/(((-987987)\/490)\/143*10\/18)\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)*q**30*q)**(5\/9) assuming q is positive.\nAnswer: q**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Let t(f) = -f**2 + 3 + 5*f + 1 + 3. Let p be t(5). Solve -2*s + 3 + p = l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 473 + -470. What is the second smallest value in 2\/11, a, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 7830\/(-319) - 5\/11?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415835701.\nAnswer: 67, 6206503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*(-5 + sqrt(704)*1 + -1)**2*1.\nAnswer: -3456*sqrt(11) + 26640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -11 + 8*q**2 + 2 + 2*q**4 - 8. Let y(r) = -r**4 - 3*r**2 + 6 + 55*r**3 - 55*r**3. Let w(b) = 8*y(b) + 3*z(b). What is the derivative of w(v) wrt v?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6166.2 and 7.\nAnswer: -43163.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 16397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 793.73 + -793.7. Let q = 4 - 7. Which is smaller: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 77, 135, 215, 317, 441, 587?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.4. Let j be 0 - 15*(-17)\/51. Let i = -0.8 - -1. What is the nearest to p in i, -0.5, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41862303006 + -49\nAnswer: 41862302957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3002877379 to the power of 1\/2, to the nearest integer?\nAnswer: 54799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 453172*q - 453168.\nAnswer: -4*(q + 1)*(q + 113292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3379*-10746.\nAnswer: -3631.0734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*n**3 + 498*n**3 + 247*n**3 - 10996*n + 10993*n as d*n**3 + h + a*n**2 + l*n and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 37*q + 5. List the prime factors of d(17).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 243*l**3\/5 - 1935846*l**2\/5 + 172068*l - 95592\/5.\nAnswer: 3*(l - 7966)*(9*l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -16 (c) 10 (d) -0.39 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-20)\/(-9)*(-9)\/6. Let z = -1 - -3. What is the third biggest value in 0.5, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/3, 4, -3\/26 in descending order.\nAnswer: 4, 0, -3\/26, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 4*h**4\/27 + 14*h**3\/27 - 4*h**2\/9 - 2*h + 2. Factor m(u).\nAnswer: 4*(u + 2)*(4*u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -4 + (-9 - -19). Solve 1 = r*q - 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11023 != 11065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 16 = 2*o. Suppose 3*l = 3*y + 12, 2*l + 5 = -5*y + 13. Solve 0 = l*j - o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -30\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 848258*d*z**2 - 3004648*d*z + 5*z**4 + 2*z wrt z?\nAnswer: 1696516*d + 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43330 divided by -1030.\nAnswer: 4333\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 25*b + 15*b + 12*b)*(-43 + 88 - 44)*(-1 + 5 - 3 + (-1 - 2 + 1)*(0 + 0 - 1)).\nAnswer: 6*b - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 7*o + 6. Let j be h(6). Let s be (-3 - -6) + j\/1. Suppose -s*n - 25 = -2*l - 0*n, 25 = l - 4*n. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -0.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*y + 43*y - 681. What is the remainder when y is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247082249 to the nearest integer?\nAnswer: 15719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7956179?\nAnswer: 7, 11, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191, 189, 187, 185, 183, 181?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291776016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133 * 720.937.\nAnswer: -95884.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 3*q + o, 3*q + 3*o = 5*q + 57. Suppose 240 = -10*x + 2*x. Let h = x - q. Solve h*z + 2 = -10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.43 - 38.57. Let k = z + 23. Let n = k + 15.9999954. Round n to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3178 + -4464. Let b = 2205 + o. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 146486.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/42)\/(13 + 2044\/(-196))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212300 + 4?\nAnswer: -212241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 5, 7, -118 in descending order.\nAnswer: 7, 5, -35, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*m - 7464, 0*m + m - 2*c + 2491 = 0. Let n = 14977\/6 + m. Let p = -237071\/22 - -10778. Calculate the common denominator of p and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 278 - b**3 + 196 + 2*b**3 + 8*b**2 + 2*b**3 - b**3 to z*b**3 + d*b**2 + l*b + g and give g.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20556176?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h**2 + 6*h**2 - 4*h**2)*(3 + 2 - 3) + 7*h**2 - 9*h**2 - 8*h**2)*(-1 + 2*h + 1)*(-3*h - h**2 + 3*h).\nAnswer: 24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*x - s, 0 = -0*x + 2*x - 5*s - 37. Find the third derivative of -82*a**2 - 11*a**6 + 3*a**6 + 67*a**2 - x*a**6 wrt a.\nAnswer: -1680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (399\/(-490))\/(-19)*36\/(-54)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/166425 and -59\/3?\nAnswer: 166425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -481120 times 956\nAnswer: -459950720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 + -82. Let n(t) = -22*t - 16. Let p(w) = 7*w + 5. Determine g*n(m) - 16*p(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1914575 by 8905.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -740 (base 8) in base 5?\nAnswer: -3410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7291 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9971018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 233 + -234. Which is greater: b or 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4)*-2*-12. Suppose -n + 7 = b, 4*b - u = -3*n + 16. Is (2 + (-15)\/n)*-182 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18\/35, -1956, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -225? (a) -4 (b) -1\/6 (c) 5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 696 and 9973224.\nAnswer: 289223496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -114, -234, -354, -474?\n\"Answer: -120*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 + 57 - w**4 + 60 + 49*w - 174 - 7*w**2 in the form m*w + s*w**4 + v + z*w**2 + t*w**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1638 = -1124. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3427\/(-49) - (-5121)\/(-83643)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*y + 88, -5*n + 2*y = -136 - 34. What is the highest common divisor of n and 1449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -2. Let o be b\/7 + 34\/14. What is the second derivative of 3*h - 3*h - 5*h + o*h**4 wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5905*f + 187 = 5922*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245360340 and 37320.\nAnswer: 490720680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 427500 and 9405.\nAnswer: 4702500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112674 is divided by 203.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11*w**3 - 6*w**2 - 57*w - 4. Let a(v) = 30*v**3 - 16*v**2 - 152*v - 11. Calculate 7*a(h) - 19*r(h).\nAnswer: h**3 + 2*h**2 + 19*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -119742304 at least as big as -119742305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 27146 divided by -277\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xuxah. Give prob of sequence xxah.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -247*n**5\/60 - 131*n**3\/6 + 61*n**2 + 19*n + 1. Let j(m) be the first derivative of v(m). Differentiate j(s) wrt s.\nAnswer: -494*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*q + 1289 = 83*q - 531 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*o - 15 = 0, -5 = -3*m - 0*m - 2*o. Suppose 8*q - 16 = 4*q. Let m*v + 3*v**2 - q*v - 2*v = 0. What is v?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**2\/2 - 5*o - 451. Give x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202873211?\nAnswer: 59, 3438529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 27371392.\nAnswer: 27371388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241184397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 6:00 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3077459.3 and -0.38.\nAnswer: 3077458.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 10:47 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -37, 85, 187, 263, 307?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89295 divided by 3.\nAnswer: 29765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4408\/290*(-10)\/(-4). Suppose -27 - 49 = -c*w. Solve -2*a - 7 = -5*t, 0*a - 3*a = -w*t - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 21*n**2 + 3. Is 35 a factor of f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a = 4*t - 157 + 9, 2*t = -3*a + 22 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5154 (base 6) to base 15\nAnswer: -51a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13557934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 4. Let m(h) = -5 + 9 - o - h. Let s(g) be the second derivative of 4*g**3\/3 + g**2\/2 + g. Calculate 6*m(d) + s(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1368\/19380*20\/(-12)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/27784 and 73\/2760?\nAnswer: 416760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490780*1551.\nAnswer: 761199780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16962)\/(-1023)*5\/110 + (-64)\/(-31) + -2.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -817\/9 + 91. What is the closest to p in -4, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1))**(8\/11)\/(g**(-1))**(35\/2)*((g*g**5)\/g**7)\/(g\/(g\/(g\/((g**2\/g)\/g)))*g**(-5)*g) assuming g is positive.\nAnswer: g**(461\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/3 - 1)*8\/8. What is the highest common factor of 2 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2\/5, -18, 22, 8\/77 in decreasing order.\nAnswer: 22, 1\/2, 2\/5, 8\/77, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/1260*217\/(-62). Let t = 7 - 11. Which is the closest to 2\/9? (a) 36 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**2\/2 + 6*f + 1. Let s be u(0). What is the first derivative of 2*z**4 - z**4 + s - 4 wrt z?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1744\/(-16) - 17 - -16. Are v and -118 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3\/6 - 2746762*t**2\/3 + 3772350742322*t\/3 = 0. What is t?\nAnswer: 0, 2746762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 488767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 2*p + 5*g, -5*g = -5*p - 0*g + 240. Let v = p + 140. Suppose v = l + 58. Does 39 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34398\/756)\/(13\/2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/9875855 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-7 + 2) - 4) + 16 - -2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*y + 4*m - 4, -5*m = 2*y + 8. Let b(x) = x**2 - 6 + y. What is the units digit of b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 9:28 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 11) + (3 + 0 + -2 - (1505 + -1492)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d - 6. Let t be n(10). Calculate the greatest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*f + 13*f**3 + 19*f)*(0*f + f + f + (-2 + 2 - 1)*(-1 + 1 - f) + (-f - 2 + 2)*(2 + 7 + 0)).\nAnswer: -78*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22c23 (base 13) to base 8.\nAnswer: 174125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -29*n**3\/6 - 4*n - 8. Let y(d) be the first derivative of l(d). Let w(j) = -3*j**2. Determine y(w(o)).\nAnswer: 87*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 24 = -6*x. Suppose -x*r + 133 = d, -d = 2*r - 5*r - 133. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y + 377. Let h(i) = -i - 2. Let c(t) = -6*h(t) + u(t). Is c(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8642*t**2. Let b(v) = 390*v**2. Calculate s(b(u)).\nAnswer: -1314448200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xexr when four letters picked without replacement from {t: 1, x: 3, e: 8, r: 6, q: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.13 - 87508876\nAnswer: -87508877.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 d when four letters picked without replacement from {o: 3, d: 3, x: 1, r: 3}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1.19, 0.4 in increasing order.\nAnswer: -1.19, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p + 1 + 14 - 6. Let h(t) = -19*t + 17. Let f(u) = 7*d(u) - 4*h(u). Does 16 divide f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-25)*5*30\/18)\/1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1232*q**2 - 2485*q - 44. Give w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose 4*v - 53 = 2*g + 9, 5*g = -2*v + 37. Let f(y) = 3*y**2 - 57*y + 212. Let l be f(14). Solve 5*i = 11 - 1, 4*m + l*i + v = r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042639 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from jiaijijiia?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 35 = -9*z. Let j(l) = 9*l + 3. Let t be j(14). Let n be t\/15 + (-2)\/(-5). Is z < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:33 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c**(-8)\/c)))\/c*c*c)\/c*(c**(-4)*c*c)\/c*(c\/(c**1*c))**43)**(-48) assuming c is positive.\nAnswer: c**2640","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 12*w = -32. Let h(r) = 7*r + 25. Let g(t) = 6*t + 23. Let l(o) = w*h(o) - 5*g(o). Give l(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 6 - y + 141 + 2*y as s + g*y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 - 24*j**2 - 26*j + 148\/3.\nAnswer: 2*(j - 37)*(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 201 in 0.8, 2, -1767.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 2*g - 2*g + 0 + g + 0 + (2*g - g - 3*g)*(2 - 1 - 3) + 3*g - 2*g - 3*g + 174*g + 281*g + 30*g - 5*g - g + 3*g in the form z + s*g and give s.\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 959846679118.31.\nAnswer: 959846679118.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 49, 62, 91, 142, 221?\n\"Answer: g**3 + 2*g**2 + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135658, 271316, 406974?\nAnswer: 542632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 233, 342, 451, 560, 669?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeqbhybqqeei. What is prob of sequence qe?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 319701999 equal to 319702000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g**3 + 17*g**2 + 5*g + 13. Let m be (-3 + 2)\/((-3)\/18). Let j(k) = -5*k**3 - 9*k**2 - 3*k - 7. Let z(o) = m*x(o) + 11*j(o). Solve z(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 + 112*q**3 - 40 + q**4 - 21*q**3 - 40 + 128 in the form b*q + g*q**2 + r + j*q**3 + s*q**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-6 + 6) - (0 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*w - 4*g - 16 = -59*w, -4*g - 10 = w. Solve -23 + 6 = w*n + 3*b, -b = -5*n - 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/42*(-3)\/57?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-2 - -4 - -1). Suppose -20 = -2*p - s*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1036 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204\/918)\/(5\/((-60)\/(-8)))*(-54)\/(-16).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 0, -3, -2, 728 in increasing order.\nAnswer: -3, -2, 0, 3, 8, 728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 1:37 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 46301, 46304, 46307, 46310, 46313?\n\"Answer: 3*r + 46298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08774630165 rounded to six decimal places?\nAnswer: -0.087746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2402, 13656, 24910, 36164, 47418, 58672?\n\"Answer: 11254*p - 8852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/91 and 36\/91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/19))\/v**8)\/(v*v\/(v**(12\/7)\/v*v))**(-8) assuming v is positive.\nAnswer: v**(-613\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 276 + -271. Solve -2*j = u*y + 13, -16 = 4*j - 0*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2 - 2, -8 = -3*s + 2*t. Let a = 2 + s. Calculate the remainder when 6\/(1 - 1\/(-2)) is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d - 103. Let n be h(-11). Which is smaller: n or -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 5:54 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 4*u**2 + 4*u - 3. Let g be k(2). Suppose 0 = -5*d - v + 423, -d - 346 = -g*d + 3*v. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 + 0) - (-55 - -65 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22588998?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -34.8 (c) -3 (d) -1\/38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6068872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -40*z**5 - 294100*z**4 - 17656990*z**3 - 75487455*z**2 - 111247020*z - 55127520 = 0.\nAnswer: -7292, -56, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 3. Let m(p) = p + 4. Let s(l) = 4*b(l) + 3*m(l). Let k(i) = i**2 - i - 3. Let h be k(3). Let n(o) = -5*o**2 - 2*o + h*o**2 + 2*o. Give n(s(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 1 - 1 + (17 - 17 - w)*(10 + 7 - 3))*(37 - 5*w - 65 + 43) in the form j*w + a + n*w**2 and give n.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 9:16 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-3)*20\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let f = -0.087 - 79.913. Let r = f - -79.5. Which is the biggest value? (a) r (b) i (c) 1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 32*w + 28*w + 48, w = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/10 - -1 - (-202)\/5. Let r = 149 - c. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 26 = -c + 3*r, -5*r - 37 = -2*c. Let a(t) = -4*t + 1. Let o be a(-8). What is the highest common factor of o and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 9) in base 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from {k: 1, w: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.909441 + 26.909383. Let j = 23.954 - -1.046. Let r = j - c. What is r rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k - 15 = 0. Let z be (-4)\/2 - (-1 + k). Suppose 6 = f + z. Solve i - 2*i = f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5539 is divided by 503.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-2695)\/(-22)) - 704\/(-8470)\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1047.542 - -1153.46. Let l = 106 - b. Let d = l - 2.922. What is d rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 17\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(42)\/sqrt(3))\/sqrt(7).\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*q = 3*p + 136, 256 = 5*p + 4*q. Let t be 3954\/33 - 5\/(-165)*6. What is the highest common divisor of p and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 79*b - 81*b + 239*b - 79*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 j when three letters picked without replacement from joowdfj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8876 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445 divided by -85?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 338053741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 378468.290769 + -378468. Let z = y - -1.609218. Let a = 1.9 - z. What is a rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 + 3*o**2 - 4*o**2 to p + z*o + d*o**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5374.079 tonnes in kilograms?\nAnswer: 5374079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235179415 divided by -31555.\nAnswer: 7453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 + 2*i + 62. Let d be k(-14). Let x = -553 - d. Let w(p) = 2*p + 1. Let a(s) = -1. Calculate x*a(q) + w(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 21403544?\nAnswer: -21403540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -243.08 plus 728394172?\nAnswer: 728393928.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.9760392 rounded to three decimal places?\nAnswer: -15.976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -13. Let q(f) = 256*f**3 + f**2 - f + 1. Is q(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9953 + -9949. Let f(m) be the third derivative of 0*m**x + 25*m**2 - 1\/252*m**8 + 0*m + 1\/45*m**5 + 0 - 2\/315*m**7 + 1\/90*m**6 + 0*m**3. Factor f(w).\nAnswer: -4*w**2*(w - 1)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89764.13cm to nanometers.\nAnswer: 897641300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + ((-1 + -7 + 11 - 1) + -2 - -25)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(5\/(-3)))\/((-10023)\/(-634790))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1 (c) 27\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 634 + 633 + 0*z**2. Let a(y) = 2*y**2. Calculate m(a(x)).\nAnswer: -8*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.03167 * 475\nAnswer: -15.04325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 674 and 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*w + 5*w - k, 16 = -2*w + 5*k. Suppose 8*u - w*u = -6. Which is the nearest to u? (a) -13 (b) 1\/3 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 2. Suppose q - 1 = -v. Is 5228\/28 - v\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -765*d**2*t + 13394*d**2 + 8*d*t**2 - 68*t**4 + 109 wrt t?\nAnswer: -765*d**2 + 16*d*t - 272*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 10) to base 6.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4.89 - -6106220234\nAnswer: 6106220238.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -2\/3*l**4 + 4\/3*l + 26\/9*l**3 + 3 - 11\/3*l**2. Factor g(z).\nAnswer: -2*(z - 2)*(z - 1)*(4*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (61*l + 25*l + 14*l)*(2*l + 3*l - 3*l) + 0*l**2 + 3*l**2 - 6*l**2 in the form g*l**2 + o + p*l and give g.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 19. Let r be -3*(31\/(-3))\/(-1) + 96\/(-24). Suppose -26 - 103 = 3*q. Let k = r - q. Determine t(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 9*t - 3920. Suppose 0 = 6*f - 3244 + t. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/28 and -3\/25.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/2)\/((-1)\/(-2)). Suppose 0 = z*h + 4 - 29, -i = -h - 38. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u + 216 - 216. Let j(q) = -4*q**2. Calculate r(j(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(1377) + -2)*-2 + 2*sqrt(1377) + (2*sqrt(153))\/sqrt(9))*-6)**2.\nAnswer: 720*sqrt(17) + 3348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 618 and 54?\nAnswer: 5562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119*(-272)\/(-1156) - 16\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5694888 + 0.05.\nAnswer: -5694887.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*x - 6. What is the smallest common multiple of (30\/9 - x)*-24 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/13 (b) 2 (c) 4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 - 7*s**2 - 12*s**2.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63801203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1185953*o. Let m(b) = 12*b**2. What is m(n(t))?\nAnswer: 16877814218508*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 - -43. Let t = -95 - z. Let m(c) = -34*c + 7. Is 20 a factor of m(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/16 (b) -26 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*h**2 + 36*h**2 + 708*h - 705*h + 264*h**2.\nAnswer: 240*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 j, and 1 h when four letters picked without replacement from jffhcnnhjfkfhfnhjh?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoknkkkhkkkqnkkekeq. Give prob of picking 1 n and 1 k.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 0.01 (c) -3.85 (d) -9619\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -110. Let i = -54.5 - s. Let k = i + 13. Round k to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119)*3 + sqrt(119)))*-6 + sqrt(119))\/(sqrt(28)*1).\nAnswer: 19*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -275 + 271. Let s = 1 - -6. What is the closest to -1\/3 in s, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*n = -313 + 103, 5*n + 350 = 5*j. Let r = j - 18. What is the greatest common divisor of r and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**4\/4 - d**3\/3 + d**2\/2 + d - 70. Let m(j) = -3*j**3 - 9*j**2 + 9*j + 9. Give -4*m(k) + 36*x(k).\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -181 + -3?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 623156, 1244982, 1866808, 2488634, 3110460, 3732286?\nAnswer: 4354112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -g + 12. Let h = -47 + 77. Calculate the lowest common multiple of g and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -25. Find the second derivative of w*l**2 + 0*l + l - 5*l wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1033, 4061, 9107, 16171?\nAnswer: 25253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/4)\/(7\/14). Suppose 10*c = 8*c - 18. Is 4 a factor of (c\/(-5))\/(i\/35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -4*h**3 + 320. Let q(x) = 0*x + 0*x + 3*x**2. What is p(q(l))?\nAnswer: -108*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -32. Let a(x) = -4*x**2 + x**2 - m - 6*x + 12 + 8. Let f(d) = -6*d**2 - 13*d - 4. Calculate -13*a(r) + 6*f(r).\nAnswer: 3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-8))\/w*w)\/w**1)\/(w**(-3)*w*w\/w**(-4))*(w\/((w\/(w**(-4\/7)\/w))\/w*w)*w**(-4\/9))**26 assuming w is positive.\nAnswer: w**(-3995\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 - 1 = 0. Suppose -118 - 17 = -5*b. What is the greatest common divisor of b and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1103443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5215.96 - 5182. What is w rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 18*d + 4. Let h be m(6). Suppose 41 = 4*y + 4*x - 23, 0 = y - 2*x - 22. Suppose 2*w = -3*f + 13, h = -w - 3*f + y. Is -4 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88865084 and 64629152?\nAnswer: 710920672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4079.\nAnswer: 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1261594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11054*x**5 + 2*x**3 + 55*x**2 - 17*x + 2.\nAnswer: -663240*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/229 in -18\/25, -2\/7, 1.9, 0.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*w + 20. Let i be 3\/w - 0\/(-2). Suppose z - 7 = t, 4*z - t = -1 + 20. Which is the closest to -1? (a) z (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) -24\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/34*-4675*(-127)\/9525\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2510\/(-1025) - -3) + ((-570)\/(-615))\/19. Determine r so that -1\/5*r + 0 + 4\/5*r**2 - o*r**3 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8 = -12. Let l(o) be the second derivative of o**5\/20 - o**4\/4 - o**3\/2 - 42*o. Let c be l(y). Solve -c*n = s + n - 19, -n = 2*s - 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 215172.3 nanograms?\nAnswer: 0.0000000002151723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.398 + 1.602. Let t = 243 + -3161\/13. Which is the nearest to y? (a) t (b) -3\/5 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + (8 - 4))\/(2\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/(d*d*d**(-1\/35))))**(2\/85)*(d\/(d**(-8\/13)\/d)*d)**(-2\/33))**(2\/91) assuming d is positive.\nAnswer: d**(-380836\/116141025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m + 1 - 6 + 7.\nAnswer: 21*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*r + 217, -2*r - 72*t + 116 = -76*t. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 + 80*x + 26. Determine b(-20).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**7\/840 - f**6\/120 + f**5\/120 + f**4\/12 + f**3\/2 - 2*f. Let h(i) be the second derivative of j(i). Calculate h(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24.6, -351.4, 45, 1 in descending order.\nAnswer: 45, 1, -24.6, -351.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 28*o**2 + 5*o - 24. What is the derivative of l(u) wrt u?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8 + 0 + 0 - 2*u. Suppose 41 = -10*q - 19. List the prime factors of k(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -x + 4*u - 9*u, 0 = -5*x - 5*u - 25. Let c be (2 - -3 - 1)\/(-1). Which is bigger: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26a (base 15) to base 14.\nAnswer: -2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -15*v + 4*v + 53884. What is the remainder when v is divided by 113?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:35 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -49156*n - 1278052. What is o(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32155288 a multiple of 1309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 225654, 225629, 225568, 225453, 225266, 224989, 224604?\n\"Answer: -3*o**3 - 4*o + 225661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 910 = 2*a - 3*x - 38, 5*a + 5*x - 2420 = 0. Calculate the greatest common divisor of 60 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94465 + -62770. What is the ten thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(11)*1)*1 + -6*(-3 + 4 + sqrt(11)*-1))**2.\nAnswer: -432*sqrt(11) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -11. Let x = 4.87 - -0.13. What is the nearest to o in -2, x, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 8. Let i be y(8). Suppose -4*o - 5*m + 80 = 0, 2*m = 4*o + 47 - 127. Does 12 divide (i\/o)\/(2\/(-85))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6012.000008314 - -6012. What is s rounded to 7 dps?\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2 + 18*p - 6. Let f be c(4). Let y be (18\/45)\/(f\/(-30)). Let a(i) = i**3 + 7*i**2 + 6*i. Calculate a(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20185 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*a - 230, 0 = 5*a + 5*m + 3158 - 3538. Calculate the highest common divisor of a and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461030 is divided by 351.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*q - 4*q + 136, 0 = -w - q + 24. Calculate the remainder when 1323\/w - (-2)\/(-8) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -206532*y**3 + 6*y**2 + 444295 with respect to y.\nAnswer: -619596*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1606749 is divided by 247.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.86 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2450*a**2 + 794*a**2 - 2502*a**2)*(3 + 0 - 1) as q + r*a**2 + c*a and give r.\nAnswer: -8316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1005*j*y**2 + 1048*j*y + y**2 wrt y?\nAnswer: 2010*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38.7 + -42. Let b = 3.30003 + z. Round b to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1356\/125 - -173742\/875. Let m = 188 - p. Which is the third biggest value? (a) -4 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1631.976160889092 - 4?\nAnswer: -1635.976160889092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/(sqrt(10) - sqrt(10)*-1))**2 - sqrt(7)) + -3.\nAnswer: -sqrt(7) - 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v + 1441 - 1441.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429684?\nAnswer: 2, 3, 61, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 152, 301, 450?\n\"Answer: 149*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.480392ms in weeks?\nAnswer: 0.0000003893525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y - 9. Let q be u(5). Suppose m + 4*l - 12 = 0, -2*m = -3*m + 2*l - q. Suppose m = n - 4*n + 12. Solve -3*v + n*v = 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3277*i = -3269*i - 88 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -28*0.2\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 49*d**2 + 417*d - 33. Let l be g(-8). What is the second smallest value in -1\/2, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j. Let i(s) = 4*s - 5. Let y(p) = -7*p + 6. Let c(h) = -8*h + 6. Let k(b) = -2*c(b) + 3*y(b). Let q(t) = 6*i(t) + 5*k(t). Give q(w(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x = -80. Let p = 43 - x. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 500.484 - 501. Let t = q - -0.554. Which is the second biggest value? (a) 1\/2 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/30 and -34\/393?\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4366 = 13*q - 15*q + i, -5*i = 4*q - 8760. Let j = -1547 + q. Is j a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032460000 rounded to the nearest 1000000?\nAnswer: -1032000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 32242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112021 - 201?\nAnswer: 21111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -4. Suppose -b - 3*b = -z. Is 0 + (b - (1 + 0)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 (base 10) in base 15?\nAnswer: 15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 439070 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l - 66*l = 3534 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 5, -0.2, -1\/13, 7\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -201\/8? (a) 0.4 (b) -4\/5 (c) 5 (d) -10 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68703352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -35*d**2 - 1. Let q be z(-1). Let o be (1\/(-3))\/(2\/q). Let j(u) = 29 + 38 - 65 + 2*u. Give j(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 7*q + q - 26*q.\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 7*u - 5*v - 66 = 0, 17*u - 87 = 7*u + v for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -849 - -855. Let j be 1 + 2 + -7 + -2. What is the smallest common multiple of k and (8\/(-12))\/(1\/j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2977705219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -110*m + 105*m - 2*o + 670, 2*o + 268 = 2*m. Solve -25 = 53*h + m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31026, 31028, 31040, 31068, 31118, 31196?\nAnswer: 31308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/5 - 86*s\/5 - 1849\/5 = 0. What is s?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -5 (c) 7 (d) -7 (e) -90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112000 and 6300.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0047179 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + w - 1)*(-2 + 1 + 3)*(4 + 1 + 0 - 2 - 2 + 3 + (1 - 2 + 2)*(1 - 2 + 2) + 4 - 2 - 3).\nAnswer: -16*w - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42 + 100 + 73 + 120)*(8*t + 353 - 352 + 3*t) in the form m + k*t and give k.\nAnswer: 2761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (2 + -2))*-3. Let r = l - 1. Solve r*f**3 - f + 0*f - f**3 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 35, 66, 119, 200, 315, 470, 671?\n\"Answer: m**3 + 2*m**2 + 2*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65043404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b + 73. Let o be w(14). Solve 2*s + 3 = m, -5 = -s - o*m + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6003545 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(612) + (sqrt(612) + 3)**2 + sqrt(612))) + sqrt(153)*-5.\nAnswer: -621 - 62*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -295198, -1180663, -2656396, -4722397, -7378666, -10625203?\n\"Answer: -295134*a**2 - 63*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 56026.593 seconds?\nAnswer: 0.0926365625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10837 - -10890. Solve 65 = -3*m + p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1195, 0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 632 - 631.5. What is the nearest to -0.1 in -35, p, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 5*n - 30. Let j be ((-9)\/(-4))\/(n\/(-32)). Let c = 3717 + -3713. Solve 2*q + 4*g + 1 = 7, 4*q - c*g = j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33723671?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -43143\nAnswer: 5\/43143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 3*r = 6*r + 4*n - 71, -5*n + 8 = -r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 70419.821?\nAnswer: 35209.9105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59074 - -294443\/5. Let d = p - -186. What is the closest to 0.02 in 1, 2\/9, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 3*x - 1. Suppose w + w - 3*g = 7, 3*w - 13 = 2*g. Let l be z(w). Are 12 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -193 - -191. Sort b, -4, 5 in descending order.\nAnswer: 5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -2. Suppose 12*j - 13*j + 4 = 0. Suppose -2*o = -t*o + j. Solve o*x = -3*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -156 + 475?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 8:02 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -3.16 (c) -5 (d) 0.2 (e) 26 (f) 1007.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q + 27*q + 20 = -4*p, -q = 2*p + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11789316 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/1*(-1)\/(-2). Suppose 7*d + 270 = d. Let l = d + 91\/2. Which is the nearest to i? (a) -2 (b) l (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -8. Suppose l + 4*k = -24, -d*l - 5*k = -0*k + 165. Let o be l\/104 + 1\/2. What is the biggest value in 5, o, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41280 divided by 8?\nAnswer: -5160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 27, 71, 133, 213?\n\"Answer: 9*t**2 - t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*p - 3*a + 12, -p = -a - 4. Let o be p + (6\/3 - 1). What is the third derivative of -15*x**2 - 40*x**3 + 23*x**o + 40*x**3 wrt x?\nAnswer: 552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/256 and -27\/20288.\nAnswer: 81152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 805 + -746. What is the remainder when 257 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -52.1. Which is smaller: 13 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 12) in base 11?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3012 (base 9) in base 16?\nAnswer: -896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56\/(-98) - (-134)\/14. Suppose 5*k + 16 = -u. Let b = k + 68. Calculate the greatest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 9) to base 6\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1433 + 2630 = -181*z - 58*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 1524*l**2 + 0*l**3 - 12*l**3 + 175173*l + 14*l**3 + 115149*l = 0.\nAnswer: -381, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/11 - 5819644*b**2\/11 - 4233514576856*b\/11 + 25401296968752\/11.\nAnswer: -2*(b - 6)*(b + 1454914)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o + 6 = 35*o. Calculate the remainder when 42 is divided by 6\/(4\/16 + o\/(-48)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5419584\/5 + 4656\/5*r + 1\/5*r**2.\nAnswer: (r + 2328)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 449 + 640. Suppose x = 5*h + g - 110, 8 = 2*h. What is the highest common divisor of x and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 497\/31537 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*u + u - 39991 = 0, t = -4*u - 7988. What is t rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 2. Let o be t(-2). Let m be (-2 + 1)*67 - o. Let p = m + 105. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8*n**2 + 6*n - 6. Let d(m) = 7*m**2 - 5*m + 5. Let q(r) = -6*d(r) - 5*l(r). Suppose 1410*w - 2853*w = -1384*w - 177. Determine q(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/665 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**2*j))\/((((j*j\/(j*j**(-6)))\/j)\/j)\/j)*j**(-2\/9)*j**(-5)*j assuming j is positive.\nAnswer: j**(-92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*r**2 - 3*r**3 + 52*r**2 + 0*r**3 + 2*r**3.\nAnswer: -r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bubxzoggbzgubzz. Give prob of sequence gxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -323568, -2588048, -8734494, -20703888, -40437212, -69875448?\n\"Answer: -323497*y**3 - y**2 + 2*y - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -18 - -8 - -20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5 + 100*m**4 + 352*m**3 + 336*m**2.\nAnswer: 4*m**2*(m + 2)**2*(m + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 56*b + 1410. What is l(-16)?\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(38\/19*1\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**3 + 640*h**2 - 644*h = 0.\nAnswer: -161, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b024 - -36?\nAnswer: -2adcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6756611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 616.28 rounded to zero dps?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64337 and 2535.\nAnswer: 12545715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*d**4 - 94884*d**3*r + 2*d**3 + 5*d*r - 13049*d + 375*r wrt d?\nAnswer: 564*d**2 - 569304*d*r + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -1\/26 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 5 (c) 1\/4 (d) 0.08 (e) -867.6 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2*14\/(-8)). Let y = -3.0274 - -0.0274. Which is the nearest to y? (a) u (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2 - 227*n + 174. Let h(r) = r. What is h(g(s))?\nAnswer: -3*s**2 - 227*s + 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 - 1. Let a(c) = c**4 + 4*c**3 - 4*c**2 + 35. Let x(s) = -a(s) - 4*t(s). Differentiate x(w) with respect to w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + sqrt(7) + sqrt(49)\/sqrt(7) + sqrt(7) + sqrt(7))**2 + 4.\nAnswer: -8*sqrt(7) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -20*f - 5. Let g(m) = -7*m - 2. Let x be 2\/(-3) - (-10 + 276\/(-36)). What is x*g(c) - 6*p(c)?\nAnswer: c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*z - 17, 2*m - 2*z = -z - 1. Let q = 3 + m. Calculate the remainder when 12 is divided by q\/(-12) + (-22)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 10. Suppose -2*b + 3*a = 12, 0*a - x = -b - 4*a. Put 2, 4, b in descending order.\nAnswer: 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 41322933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g + 9*g + 6*g + 14*g in the form i*g + p and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*h**2*o**3 - 25393*h**2*o**2 + 43*h**2*o + 1070*h*o**3 - h*o**2 - 58*o**3 wrt o.\nAnswer: 540*h**2 + 6420*h - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 - -173. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341, -340, -349, -374, -421, -496, -605, -754?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(1\/13)\/i)*i*i*i**(-9)*i*(i**(5\/6)*i)\/(i*i**(-2)*i) assuming i is positive.\nAnswer: i**(-175\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.27 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1123*j**3 - 4*j**2 - 8*j - 1. Is c(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/80 - 5*x**4\/48 - 7*x**3\/24 - 3*x**2\/8 - 325*x. Factor u(v).\nAnswer: -(v + 1)**2*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 343761.\nAnswer: 1, 4, 343761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 0 + 0)*(-72*i - 12*i + 85*i - i**2 + 31) in the form t*i**2 + p + c*i**3 + h*i and give h.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*a - 10*a**2 - 3 + 4*a - 1 + 5*a as o*a + j + l*a**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*(1 + 1). Let d(c) = c**3 - 12*c**2 + 12*c - 9. Let n be (-2)\/4*-18 - -2. Let p be d(n). Sort p, -1, l in decreasing order.\nAnswer: p, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 1 + -7)*2. Let l = k - -8. Suppose -5*m + l*m + 150 = 0. Solve 5*t - 3*p + 5*p = 5, 0 = -5*t + 5*p - m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -115*(-2)\/30) + -3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 21\/5, 0, -0.046, -37, -3 in descending order.\nAnswer: 21\/5, 0, -0.046, -2, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 1. Let w be j(1). Let r be w\/7 + 1447\/(-7). Let p = -132 - r. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 524 and 2096?\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/30 - 1 - (-314)\/(-15) and -65\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 29354.\nAnswer: 29354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1213 + 1780. Suppose 68*s - 2813 = 701 + 770. What is the highest common factor of s and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbbnxnxbnxxnbnxnn. What is prob of picking 3 b?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-3)\/21)\/(318\/(-4452))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 0*z + 0*z**3 + 1\/4*z**4 + 9\/2*z**2 + 10. What is the second derivative of g(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171 and 931456?\nAnswer: 8383104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 8*q**2 + 5*q - 5. Let l be o(-6). Suppose -42*a = -l*a - 175. What is the greatest common factor of a and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -4\/3 (c) -22 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 22 = 5*a, 1 = -2*j - 5*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63091, -126216, -189337, -252454, -315567, -378676, -441781?\nAnswer: -504882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) -3 (c) -0.027 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiaa when four letters picked without replacement from aiaiaia.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -47\/2583?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**6 + 67308*d**5 - 2*d**3 - 2583035*d**2 - 2.\nAnswer: 120*d**3 + 4038480*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)\/(k**3*k)*k**(-7)*k**0)\/(((k\/k**(2\/9))\/(k*(k*k**0)\/k))\/(k**(-2\/3)\/(k*k**(-4)))) assuming k is positive.\nAnswer: k**(-550\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**5 + 560*o**3 + 1090*o**2 - 7035*o + 5390 = 0. Calculate o.\nAnswer: -7, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401 (base 5) to base 4.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**3 + 144*z**2 + 281*z + 110. Let s(b) = 3*b**3 + 72*b**2 + 141*b + 54. Let k(y) = -11*s(y) + 6*u(y). Let k(o) = 0. Calculate o.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -114, -1365, -4640, -10911, -21150, -36329, -57420, -85395?\n\"Answer: -162*h**3 - 40*h**2 + 3*h + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 501946550 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llhppllhhpllh. What is prob of sequence hlhl?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - b + 4 = 0, x - 2 = -4*b - 1. Solve -2*k + 5 = -x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 - 539 = 10*n. Solve q = -2*x + 6, -4*q + 11 + 7 = n*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121123 (base 4) in base 8?\nAnswer: -3133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4\/7 - 547793*m**3\/7 - 100025541018*m**2\/7 - 869726842220340*m + 6088187921631192\/7 = 0.\nAnswer: -182598, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -722, -2783, -6212, -11003, -17150, -24647, -33488, -43667?\nAnswer: -55178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*r = 5570079 - 5573822 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3aba17 - 109?\nAnswer: -3abb24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-601)\/601*(-29)\/(-3).\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 13. Let r be x(9). Find the second derivative of 5*c - 8*c - 23*c**r - 8*c + 6*c wrt c.\nAnswer: -276*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Let a(b) = -b + 4. Let n be a(u). What is the first derivative of -r + 2*r - 2*r + n wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -53*2\/2 + -2. Let f = n + 92. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d**2 - 3*d + 9*d**2 - 14*d**2 as g*d + z + a*d**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13728754?\nAnswer: 2, 13, 19, 27791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -w - m + 1, 12 = w - 2*m. Suppose 0 = -q + w + 4. Let g be 1\/(-4) - (-78)\/24. Solve -i + g = r, 5 = 3*i + q*r - r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11032590, -11032587, -11032584, -11032581?\n\"Answer: 3*h - 11032593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*f + 19 - 145 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 483415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8097 and 3003.\nAnswer: 8105097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31964 = 6*f + 4*m, 0 = f - 10*m + 14*m - 5344. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**2 - 180. Let v = 3 - 4. Let n be 2\/1 + (-2)\/v. What is m(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*o + 76*o - 168*o - 12 = 2*i, -3*o - 24 = 4*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1136.0346us?\nAnswer: 0.00001893391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 = -6. Suppose p*v - 12 = v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*q**2 + 1416*q**3 + 4*q + 121*q + 4986*q**3 + 28*q + 136*q wrt q?\nAnswer: 38412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9075 by 1.\nAnswer: -9075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(3 + 0 + 3)*(-2*g + 5*g + g).\nAnswer: 48*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 6 + (-12 - (-21 + 24))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.6 + 0.6. Let j = -28.06 - -28. Let l = j - -0.06. Do l and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 43 = i. Is 13 a factor of (3 - i\/(-4))*-30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -127 + 54?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139.032 + -139. Let k = -0.068 - d. Which is smaller: k or 1.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 1 + 1 + (2 + 3 - 3)*(-2 + 2 - 3*v) in the form y + k*v and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (9 + (-3 - 0 - 13 - 6))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -15. Let z = b + -33. Calculate the remainder when z is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 13*d**2 + 29*d + 64. Determine o(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-4 - -6)) + 4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 144, 23, -178, -459?\n\"Answer: -40*h**2 - h + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 3. Let g be i(0). Suppose 0 = -g*u + 17 + 1. What is the smallest common multiple of 8 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 403 - 363. What is the remainder when v is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.921 - 0.079. What is the nearest to v in -3, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7222*j**2 + 8050*j**2 - 62*j + 84*j - 22*j.\nAnswer: 15272*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 9 - 10) + 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (744 + 885 - 141)*(16 - 16 + 8*u) to the form f + c*u and give c.\nAnswer: 11904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b8 - 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.878 - -8.078. What is the biggest value in s, 0.05, 2\/45, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1232 = -12*w + 81*w + 128 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-1)\/6 + (-185)\/30. Let w = -34\/5 - o. Let h = -3\/224 + -4565\/2016. Find the common denominator of h and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 3:49 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245661 is divided by 1640.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x + 42 = 0. Is -18 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 4*d - 7. Let a be i(-6). Let u(j) = j**3 + 2*j**2 - 1. Let r be u(-2). Put a, -4, r in decreasing order.\nAnswer: a, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 6*z**2 - 5*z + 9. Let w = -1224 + 1233. Let c(k) = 11*k + 3 - k**2 - 1 - 3*k. Let x be c(w). What is u(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 1\/4 (c) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 49. Let l be 2*(-5)\/(-2) - 2. What is the smallest common multiple of ((-9)\/l)\/(-1 - 0) and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142174 or 142175?\nAnswer: 142174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 36 - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p = 5*l + 91, -4*l = 5*p - 124. Factor p*v + 8*v**2 - 3*v - 11*v + 2.\nAnswer: 2*(v + 1)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -33 (b) -4 (c) 4\/3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1412\/759 - 28\/69. What is the common denominator of 5\/(10\/276)*(-8)\/32 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13366*y - 914?\nAnswer: 13366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -4. Let y = o - -49. Let d be 2\/(-6) + (-4)\/(-18). Which is the third smallest value? (a) y (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 984*o - 364073. What is k(370)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 6:37 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.266 - -303.066. Round u to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j + 11*j - 6*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4675207 (base 8) to base 15\nAnswer: -1a3386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 838 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z + 30 = 0. Let s be 51\/34*(z + 0). Is (-3)\/15 - 258\/s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21533 + 43271. Is 21739 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127 + 145. Factor 4*o**2 + k + 5*o - 31*o + 2*o + 2.\nAnswer: 4*(o - 5)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4678464375?\nAnswer: 3, 5, 13, 137, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 > 437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 871 = 33*p + 1300 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*c*m**2*n**4 + 2*c*m**2*n**2 + 2*c*m**2*n + 7*c*m*n**2 + 2*m**2*n**4 - m**2 wrt n.\nAnswer: -576*c*m**2*n + 48*m**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -424*h - 2540. Let d be j(-6). Let f = -7 - -10. Let s be (-1*f)\/(9\/(-12)). Calculate the greatest common divisor of d and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39047911.7 to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/((66\/495 + 65\/75)\/1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/25 (b) -0.4 (c) 5 (d) 3\/7 (e) -0.616\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1804 and 221.6007.\nAnswer: -1582.3993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-4) + (-60)\/2. Let q = y + 39. Suppose 0 = -q*m - 0*m + 104. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 4*w = 136. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 258 - 263. What is the closest to 1 in -4, d, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*x + 19 = -a, -25 = 5*a - 5*x. Let j be 0*a*2\/(-4). Suppose -v + g + 187 = 0, -2*g - 565 = -3*v - j*g. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 7330*n**2 + 5803966*n + 1319522078.\nAnswer: 2*(n + 497)**2*(n + 2671)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 5*l - 4*l. Let n be 768\/(-1024)*(-132)\/9. Determine a(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**5\/30 + i**2. Let b be r(-5). Solve -5*s + 0*s = -5*q + b, 2*q - 35 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3018218 (b) 10\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + i + 8. Give k(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 31 = 4*g, 3*g + 3*h = -2*g - 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2654, 5303, 7952, 10601, 13250, 15899?\n\"Answer: 2649*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 12*m**2 + 3. Let s be d(-12). Suppose 4*z + i = -2*i + 60, -s*z + 2*i = -45. Calculate the remainder when 29 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11\/(-5))\/(10\/(-50)). Let a be 0 + 2 + -7 - -1. Let k(b) = -18*b - 8. Let q(n) = -6*n - 3. Let l(u) = a*k(u) + s*q(u). Calculate l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/7 - 42\/98?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 11*q - 4764. Is 42 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.03 or -1.0209?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-316 - -28)\/(-32) + (-4415)\/(-1470)*-3?\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 5*s + 4. Suppose 2*j - 3*r = -11, 0 = -2*j - 5*r + 13. Let v = j + -2. What is p(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1\/3))**(-31))**46)**6 assuming f is positive.\nAnswer: f**(-11408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59530.\nAnswer: 2, 5, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**3 + 57\/5*g**5 - 16*g**4 - 33\/10*g**6 + 11*g + 5\/14*g**7 + 0 + 24*g**2. What is v in c(v) = 0?\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/417 and -4\/143971.\nAnswer: 60035907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 22\/3 (b) -5\/4 (c) -0.52 (d) 0.3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 - ((10 - -1) + -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h - 111. What is k(0)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 1, w: 2, n: 3}. Give prob of picking 2 n and 1 w.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -26?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-3) + 10\/(-110)*-55.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 8:15 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4 = 4*k. Suppose -k*h - 16 = -5*w, -w - 2*w + 5*h = -20. Solve 3*v + v - 32 = 4*d, w = -3*v - 4*d - 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2925*u*y**3 - 6701*u*y + 2*y**2 wrt y?\nAnswer: -17550*u*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 4. Let a be (30\/5)\/(3\/2). Let t(z) be the first derivative of -31 + a - z + 14. Determine d(r) - 4*t(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 51319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -269, -429, -603?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 45*i**2 - 445*i + 21517. Let f be u(44). Let q = -208 + 220.9. Is q bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98.88 + -103. Let y = r - -0.12. Let h = -0.6 + 1.6. Is h > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31107346961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 1:17 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21689336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -400*q + 1902. What is the units digit of w(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 - 10295*c - 143150 = 0. Calculate c.\nAnswer: -2045, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**4\/12 - 5*z**3\/2 + 2*z**2 + 133*z. Let f(g) = -4*g. Give f(i(v)).\nAnswer: -8*v + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -64 in decreasing order.\nAnswer: 5, 4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17351 = -20*l + 4009. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.134 and -244665.8?\nAnswer: -32785.2172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 2*y - 3200 = 0. Round y to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from coccocooccc. What is prob of picking 2 o and 2 c?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**3\/3 + 4*z**2 - 15*z + 126. Determine a(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -13*u + u. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 4. Let s be b(1). Suppose 4*x - s*x = 30. What is the highest common divisor of x and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6877874 divided by -4\nAnswer: 3438937\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2519551 and 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 13 = -q, 4*i + 10 = 5*q + 3. Let z(f) = -f**i + 14 + 4 - 14. Suppose 0 = 3*m + 1 - 10. Give z(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*17\/(1275\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/3 - (-5)\/(-15). Let p(w) = -w**3 + 7*w**2 + 1. Let g be p(u). Let k be 44*-1*1\/(-4). Calculate the highest common factor of g and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j - 34*j = -5*r + 9, 4*j = 3*r - 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 253208957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201824 = -384*b + 376*b. Let l = -17429 - b. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**5\/60 + 7*s**4\/24 - 5*s**3\/3 + 5*s**2 - s. Let q be h(-9). Calculate the greatest common divisor of 12 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 120.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*b**2*d**2 - 51*b**2*d*w - 406*b*d**2*w + 445*b*d**2 with respect to w.\nAnswer: -51*b**2*d - 406*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*h = 50, -h = 4*z + 4*h - 40. Let w = 4 + -2. Suppose p = 2*p - w. Solve -2*v + 9 = v - 3*d, 2*d = -p*v - z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 5780125*k + 5780130.\nAnswer: -5*(k - 1)*(k + 1156026)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101\/999 + -615841\/142857. Let o = -48\/11 - w. What is the second smallest value in 0, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 1373 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2656 - 63*y**2 - 2656 + (-1 - 2*y**2 + 1)*(-2 + 3 - 4))*(4 - 1 - 2).\nAnswer: -57*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 7. Suppose 5*n - 5*j - 15 = 0, 0*n - 3*n - g*j + 14 = 0. Let q be 98997\/(-15) - (-1)\/(-1 - n). What is q rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v + 17. Let u(g) = -3*g - 8. Let y(s) = -6*m(s) - 13*u(s). Let k be y(2). Which is the closest to -2? (a) 4 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2234465 - -12?\nAnswer: -2234453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q - 5*q + 4*q + 1)*(0 - 4 - 1) + 64 - 2*q - 64 to the form a*q + w and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 682001, 1363985, 2045959, 2727923, 3409877, 4091821, 4773755?\n\"Answer: -5*q**2 + 681999*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-858)\/(-13585))\/((-6)\/(-20)*1)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-441)\/(-24) - 12\/32. Suppose 34 = -5*i + 144. Let h be 5\/10 - i\/(-4). Calculate the greatest common divisor of h and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1242 + -3c?\nAnswer: -127e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -54*y - 1064. Determine n(-20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -337 + 2?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112.807 + -0.193. Let z = q - -113.000313. What is z rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 395 - 45. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17516332 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2972832461063.5 + -0.3?\nAnswer: -2972832461063.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*v + 81664 = -2432*v - 81876 for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (94\/(-6))\/((-35)\/15 - -2). Let o = t + -66. Let g = o + 19. Solve g = -5*z - 3 - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.778 - 0.122. Let k = -0.9 - g. What is the nearest to 1 in k, -1\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o - 2. Calculate t(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 216\/36 - 2\/2. Solve -13 = 4*k + 5*g, 4*k - j*g = k - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50.81 - -51.81. Let s = -7 - -2. Let a = -21 - -17. What is the closest to a in 4, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/4, 2\/13, 8 in decreasing order.\nAnswer: 8, 0.4, 1\/4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 16*j**2 + 15*j + 27. What are the prime factors of y(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -886*m**6 + 55*m**5 - 271553*m**2 wrt m.\nAnswer: -106320*m**3 + 3300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/8)\/(5\/4). Which is the second smallest value? (a) r (b) -2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -240731\/22 - -10947. Find the common denominator of f and 21\/(-12)*(-1)\/(-3).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32)\/(-36)*-6*(-6447)\/28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6320529 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 10586481*j.\nAnswer: 3*j*(j + 3528827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 31*h**2 + 461*h - 60 = 0.\nAnswer: -15, 4\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 80, 118, 156, 194?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, 0, 0.5, 1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 13*p + 20709 = 0. Suppose p - 522 = 21*b. Calculate the remainder when b is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42793 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 + 1 + 0 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6444 and 264.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/14 - -1\/2. Let z be (-482)\/((-4)\/((-8)\/(-10))). Let f = 96 - z. What is the second smallest value in g, 5, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**2 - 38*f - 4. Let d be o(-7). Suppose 0 = -s + 3*m - d, 4*s - 2*m + 38 = -0*m. Let u(g) = g. What is u(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7501 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 18. Let x(h) = -106*h**2 - 2. Determine x(w(t)).\nAnswer: -106*t**2 - 3816*t - 34346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 20 = -5*r, 5*r - 3*b - 35 = 2*b. Find the third derivative of 2*k**5 - 2*k**2 - k**2 + k**2 - k**r wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 284*c - 1848.\nAnswer: 4*(c - 77)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-218)*(-17)\/(-153). Suppose -5*u + 23*u - 18 = 0. Is u equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -301\/6. Let v = -13 - -9. Which is the biggest value? (a) m (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*f + 7 - 7)*(-3*f + 3*f + f) - 5*f**2 + 3*f**2 + 3*f**2 to the form y*f + x*f**2 + h and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 182 + -21. Calculate the greatest common factor of 69 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2286 and 97\/2?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6, -25, -88, -219, -442?\n\"Answer: -4*d**3 + 2*d**2 + 3*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 241040310 (base 5) in base 14?\nAnswer: 20d335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - -25 - (-20 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -442 - -1328\/3. Factor i*u**2 + 4\/3*u + 2\/3.\nAnswer: 2*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.009 - 18.991. Let t = 24 + n. Which is the second smallest value? (a) 0.4 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + -50. Suppose 44 = g*h - 34*h. What is the greatest common factor of 12 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 436624?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 126987853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.134949 + 0.05312.\nAnswer: -1.081829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2124 and 20286.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*p = 968 - 3993, 24*z - 5*p = 24385. Is z >= 1016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Let v(r) = r**3 + 15*r**2 - 123*r + 57. Let p be v(-21). Let m(j) = j**2 + j. Let u(o) = o**2 + 6*o - 1. Give b*u(a) + p*m(a).\nAnswer: -5*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*p**2*v**4 - 3877*p**2*v**2 + p**2 - 102957*p*v - 9*v**2 - 74*v wrt v?\nAnswer: 156*p**2*v**2 - 7754*p**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 21. Let g be m(12). What is the greatest common factor of g and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093359 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 16*o - 64. Suppose -4*s - 4*x + 40 = 0, -4*s + 3*x - 27 = -18. Determine z(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144889144 divided by 46.\nAnswer: 3149764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (-15 + -2 + (5 - 2)) - -18\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8198 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 210*c**2 - 429*c - 216.\nAnswer: 3*(c - 72)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 6221*w**2\/2 + 38849713*w\/4 - 231310086.\nAnswer: (w - 6209)**2*(w - 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b9af (base 16) in base 7?\nAnswer: -5263122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*u - 68, -5*p - 3*u = -u - 73. Suppose 5*q = 3*l + p - 36, -3*q = l - 3. Solve -13 = 3*c + 4*k, -4*k + l = 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7 + 5 - 9*h**2 + 4 + 26*h**2 + h**3 - 10*h. Let y be n(-17). What is the highest common divisor of y and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-1)*(-3)\/9*-2. Let s be 114\/(-7) - (-2)\/7. Let r be ((-6)\/4)\/(6\/s). Solve -2*d - q = -l, d = -d + r*l - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87052812 to the power of 1\/3, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 26. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 60090*c = -60083*c + 120160*c + 92, 0 = -2*c + 10 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124473*s*u**2*y**2 - 39*s*u*y**2 - 13*s*u + u*y**2 wrt u.\nAnswer: 248946*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*i + 3691 = 2*a, 3692 = 2*a - 2*i. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -2 + 1 + 0. Suppose -s = -2*h - 24, 8*s - 4*s = h + 124. What is the highest common factor of b and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*n - 3109374 + 3123234 = -30*n for n.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6571, -6579, -6589, -6601, -6615, -6631?\nAnswer: -6649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280615 is divided by 119?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 18*d**3 + d - 7.\nAnswer: -18*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 546 and 797454?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3219 + 3218.7. Let x = 11 + -10. What is the third smallest value in k, 0, x, 11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 4. Let x be j(-4). Let q be ((-1)\/3)\/(15\/(675\/(-3))). Solve 3 = -q*c + x*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -4, -31, -74, -139, -232, -359?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 4*m - 5. Let c be f(-5). Suppose -2*o = g - o - 10, 4*o - 12 = c. Suppose 0 = -2*v + g + 9. What is the remainder when 15 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4 - (44 - 44)) + (8 - 10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -2 - (14 + 22 - 80)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3383?\nAnswer: 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m**4 - 4*m**2 - 4*m**3 - 17 + 86*m - 171*m + 11*m**4 + 87*m to the form c*m**4 + j*m**2 + z*m + w + a*m**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - 15. Let q be z(6). Let l(r) = -3*r**q + 4*r**2 + 2*r**3 + 3*r**2 - 5*r - r - 6. Determine l(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*(sqrt(171) - (sqrt(171) + sqrt(171)*4)))**2*-5.\nAnswer: -13725 + 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -434707 divided by 281\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1648317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2138021 + -1.3.\nAnswer: -2138022.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 15. Calculate the highest common factor of 72 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 7) to base 14\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 16*i - 39. Let z be x(12). Let w(h) = 28*h - 28. What are the prime factors of w(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1539464 and 2116763?\nAnswer: 16934104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9793859 millennia to decades.\nAnswer: 97.93859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - z)*(5 - 5 + 4)*(0*z + 0*z + 2*z) + 4*z**2 - 5*z**2 + 4*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25426 + -5?\nAnswer: 25421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 1. Let k(g) = -10*g - 2. Let l(d) = k(d) + 2*q(d). Let s(m) = -2*m**2. Give l(s(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21488256 and 95616?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -3\/4, -19165, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 9:11 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -83072078, -83072076, -83072074, -83072072, -83072070?\n\"Answer: 2*n - 83072080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 (base 11) in base 16?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 41*c + 413. Calculate the remainder when b(22) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1156 - 525 - 1050)*(-64*t + 2 + 55*t + 8).\nAnswer: 3771*t - 4190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/(-5))\/(6\/20). Let s = w + 19. Suppose -s*l = -2*l - 2. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 53778*u**2 - 5*u. Let o(i) = -i. Give g(o(f)).\nAnswer: 53778*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-9))\/((-26)\/(-4836)) + -8. Solve -37*m + o*m = -119 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 134*w**3 - 1 - 150*w**3.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 2392 - 1161 = 0. Is 33 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1079 - 353 = 0. Suppose -v + 8 = 2*i, 3*i + 6*v = 2*v + 12. Let t be i\/(-10) + (-112)\/(-5). What is the highest common divisor of t and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = 0. Suppose 0*s + 186 = 2*s. Suppose -5*t + s + 2 = h. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2 = 7. List the prime factors of ((-2)\/c)\/((-4)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122012 and 3154140.\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -27. Let f be (-39)\/w - 9\/(-6). Solve -16 = 4*v + c, -f*v - 2*c = c + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40181018, -40181014, -40181010, -40181006?\n\"Answer: 4*u - 40181022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b - 128*b + 867 = -761 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + 0*x**2 + x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and ((-9)\/5)\/(23\/(-1265)).\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.95 - -3. Let c = 3.05 - a. Let g = -4 - -2. Put c, g, 0.5 in descending order.\nAnswer: c, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -489*d. Let k(o) be the third derivative of -o**4\/8 + 52*o**2 - 6*o. Determine k(s(l)).\nAnswer: 1467*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 68 = -2*j, -8*j - 44 = -3*k - 6*j. Calculate the greatest common divisor of k and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/3)\/((-1)\/(-3)). Let u = i - 24. What is the units digit of (-2)\/5 - 94\/u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 42551, 3 in increasing order.\nAnswer: 3, 5, 42551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 3*s + 2. Let a be x(-3). Suppose 4*m - a = 4*l + 10, m + 2*l = 0. Let g(z) = 2*z - 3. Let r(u) = 4*u - 7. Calculate m*r(v) - 5*g(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-44)\/(-5))\/((-1552)\/(-80) - 28).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 307269, 307352, 307463, 307602, 307769, 307964?\n\"Answer: 14*k**2 + 41*k + 307214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -12*f**4 - 160*f**3 - 284*f**2 - 136*f = 0.\nAnswer: -34\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 4 + 1)*(-6*r + 0*r + 4*r)*(-3 + 2 + 0) + (-10 - 6 + 4)*(-3*r + 0*r + 2*r))*(411*r + 379*r - 688*r) to i + f*r**2 + k*r and give f.\nAnswer: 1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: What is the value of (211 - (-161 - -300)) + -121?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/3 - 3*(261\/(-6) - -42)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6 - 3 - 5*c - 4*c. Let g be q(-3). What is the greatest common factor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1022, -1017, -1006, -989, -966?\n\"Answer: 3*z**2 - 4*z - 1021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -14*l. Let t(m) = -11*m**2 - 8. Let v(c) = 4*c**2 + 3. Let s(q) = 3*t(q) + 8*v(q). Give s(r(i)).\nAnswer: -196*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(((-20)\/(-268))\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 687068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 4450938\nAnswer: 3\/1483646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 10 = -13*l + 5*z, -l + 7*z + 2 = 0. Solve 0 = -l*p - 0*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 39*c - 18. Let i be g(-20). Solve -2*t + 3*x = -8 - 3, 3*t - i*x - 9 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*z + 31*z + 27*z + 25*z in the form r*z + v and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43.9 + 45.9. What is the closest to -1\/43 in -5, 4, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 4)\/4*6. Solve -1 - 2 = x*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 34, -1\/4?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + k + 6, 0 = -3*d + 6*d + 4*k - 31. Let g(h) = 8*h + 1. Give g(d).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(336)*2*-3)\/sqrt(12))\/(sqrt(400)*1*5))**2.\nAnswer: -6*sqrt(7)\/25 + 688\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 2\/(6\/57). Let v(u) = 8*u**3 + c - 6 - 12*u + 1. Let h(b) = 3*b**3 - 5*b + 4. What is -12*h(n) + 5*v(n)?\nAnswer: 4*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3 + 1. Suppose -o + s*o - 21 = 0. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 - 4*g - 5. Let z(x) = 5*x**2 + 13*x + 59. Let n(h) = 17*h**2 + 39*h + 166. Let p(y) = 4*n(y) - 11*z(y). What is 7*d(c) + 2*p(c)?\nAnswer: -2*c**2 - 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**2 + 1. Let w = -25 - -27. Suppose 4*t + 74 = -f + 85, 4*f - 5 = -3*t. Let l(z) = 4*z**2 - 1. What is t*l(x) + w*s(x)?\nAnswer: 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - 7 - 19890\/255.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00305986238 rounded to 6 dps?\nAnswer: 0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1751\/40 - 242\/5. Find the common denominator of -77\/6 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41554, -82556, -123558, -164560, -205562, -246564?\nAnswer: -287566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171) + (sqrt(133) + sqrt(133) + sqrt(133)*-1)\/sqrt(7))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2287*i**3 - 2*i - 1002*i**2 + 2251*i**3 + 2233 - 4540*i**3 wrt i.\nAnswer: -12*i - 2004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(5) - (sqrt(5) + -3 - sqrt(5))) + sqrt(5) - sqrt(5))*5 - sqrt(80)*4*-6)**2.\nAnswer: -2020*sqrt(5) + 51105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = 0, -3*j - 5*x = j - 14. Suppose -2*f = -4*f + 2. Calculate the remainder when f is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41382186 divided by -5.\nAnswer: 41382186\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*z - 247*z + 77*z + 83*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -111\/5, -2\/3, -4, -1.\nAnswer: -111\/5, -4, -1, -2\/3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + 1. Let t = -1.75 + i. Let o = -0.1500104 - t. Round o to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 h, and 1 a when three letters picked without replacement from {n: 2, h: 4, a: 8}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 8*b**2 - 159*b + 40. Let k be s(9). Put 0, k, 1, -2 in descending order.\nAnswer: 1, 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/3*(-99)\/(-6). Let c = 1505 - 1511. Let x = c + a. What are the prime factors of x?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-1 - -3)) + -2 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0, -3\/4, 1\/7 in increasing order.\nAnswer: -3\/4, 0, 1\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**15)\/a**(-1\/4))**3 assuming a is positive.\nAnswer: a**(-165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Suppose -518*o - 6256 = 1046*o. Which is the second biggest value? (a) o (b) 14 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 253812 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68301 (base 10) to base 9.\nAnswer: 113620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -144*q - 5 + q**3 + 151*q - 6*q**2 + q**2. Let i be w(5). Let f = 33 - i. Solve 0*u + 2 = u - 2*d, u - f*d - 1 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/30)\/((-1)\/(21\/266))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 10*m**2 + 12*m - 66. Let d be b(-9). Is d at least -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000255976659 rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: c68c (base 14) to base 11\nAnswer: 23797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*g - 3*g + 5*g)*(-37*g**3 - 102*g**4 + 37*g**3 + (-3*g**3 + 3*g**3 + 2*g**3)*(4*g - 2*g - 4*g)).\nAnswer: 106*g**5 - 106*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, 2\/7, 174285, 0, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (8 + -3 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 241968 and 3232?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (-13 - -36)) + 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 2*c + 61. Let u be f(9). Calculate the highest common factor of 31 and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 43?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -22806.\nAnswer: 1\/22806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -308, -412, -470, -476, -424?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 29. Suppose 0 = -h + 61 + 475. Suppose -15*o + h = -n*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + -99 - (-8 - (26 - 17))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1268083 is divided by 2288?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 2, n: 2, r: 7, f: 1, s: 1}. Give prob of sequence sk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462987 is divided by 101.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 10.1?\nAnswer: 2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 52?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9974 - 45068 = -500*v - 254*v for v.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + 50. What is the greatest common factor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57.3 - 3444.\nAnswer: -3386.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 13*x**2 + 45*x + 15. Give m(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-20))\/((-189)\/70)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 - -2)*(0 - 3\/6). Let s(f) be the second derivative of f**3\/6 + 3*f**2\/2 - 2*f. Determine s(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 579*b - 1042 wrt b.\nAnswer: 579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2950943, 2950939, 2950935, 2950931?\n\"Answer: -4*g + 2950947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2385, 4793, 7201, 9609?\nAnswer: 12017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6432231, -6432230, -6432229?\nAnswer: -6432228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is df - 4?\nAnswer: db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 106679 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 + -2.98. Let z = 2 + m. Let j = 51 + -46. Which is the closest to z? (a) -2 (b) j (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -332\/43 greater than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/6151274 and 83\/12.\nAnswer: 36907644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -510*b**2*j**2 - 230*b**2*j wrt j?\nAnswer: -1020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.6208835 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = -3*n - 0*w, -20 = -n - 4*w. Suppose -179 = -b - m, n = 3*b - 3*m + 23 - 584. List the prime factors of b.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001001001101010101101 (base 2) to base 4\nAnswer: -21021222231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(5 - o - 5) + 5*o + o - 3*o + (-o - 2*o + 4*o)*(-2 - 3 - 2).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 505680 by -6321.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i, -4*g + 2*i = -5*g + 149. Calculate the highest common factor of 539 and g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 10:36 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 21138.\nAnswer: 42276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10501217154 and -0.1.\nAnswer: -10501217154.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d)**(-3\/8) assuming d is positive.\nAnswer: d**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 7\/1824832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 471553.434 rounded to the nearest ten?\nAnswer: 471550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225985671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 940224 and 7296?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from {d: 7, w: 3, t: 4}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 842762, 1685523, 2528284, 3371045, 4213806, 5056567?\n\"Answer: 842761*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-12))\/((-3)\/1164). Let h = p + -47. Suppose -25*o = -20*o - h. Solve -8*j + o = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*d**2 + 184*d**2 - 12*d**3 + 188*d**2 - 561*d**2.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnd when three letters picked without replacement from {n: 1, l: 1, c: 1, d: 1, m: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (34 - 17)) + 22\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-17*n**2 - 60*n + 60*n + (-n + 0*n + 0*n)*(11*n - 3*n + 6*n)) to v + l*n**2 + k*n and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y**(-21)\/y)*y)\/y**(-25))**34)**(-20\/11) assuming y is positive.\nAnswer: y**(-34000\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -1, 86, -94699?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/21)*d)\/d**(-1\/6))**31 assuming d is positive.\nAnswer: d**(1643\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1314 - 1326. Put u, 1\/12, -4 in decreasing order.\nAnswer: 1\/12, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 3396.\nAnswer: 71316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1483, 2971, 4473, 5989, 7519?\n\"Answer: 7*b**2 + 1467*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17897.\nAnswer: 11, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384 - 381. Let n(i) be the third derivative of 0*i**p - 1\/48*i**4 + 1\/240*i**5 + 0*i - 6*i**2 + 0. Factor n(g).\nAnswer: g*(g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3836033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*(-6)\/(-15))\/(204\/85). Let g be 3\/18 + (-2 - (-546)\/180). Which is the closest to 1\/6? (a) r (b) 2\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.298 + 0.238. Which is the nearest to -2? (a) 0 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3165701439.\nAnswer: 3, 23, 45879731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141 + 56. What are the prime factors of -6 + o - (-1 - -1)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 7*m**2 + 17*m + 70. Calculate h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + 13104324?\nAnswer: 13104303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -428713 at most -428713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 - 2) - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189402317.\nAnswer: 13, 19, 766811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 - 84*l**3 + 1034*l**2 - 3192*l + 2888.\nAnswer: 2*(l - 19)**2*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-2\/11)\/s))\/(s\/(s**(-6)*s)))\/((s*((s*s**(-32)\/s*s)\/s)\/s)\/s)**(-2\/145) assuming s is positive.\nAnswer: s**(-6816\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/3 + 2)*(-7 + 25). What are the prime factors of -3 - 16\/h*24?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amkakppkpkkaja. What is prob of picking 1 j and 2 a?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26127, 52255, 78383, 104511?\nAnswer: 130639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = -0. Let c(w) = -7*w + 3. Suppose -4*x - x + 22 = -k, 0 = 3*x - 3*k - 6. Let s(d) = -d + 1. Calculate x*s(r) + z*c(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 910 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012211133 (base 4) in base 13?\nAnswer: 163bbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/20)\/((6\/3)\/(350\/(-14)))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 48311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69061?\nAnswer: 69061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2\/11 - 1362*c\/11 + 36764\/11 = 0.\nAnswer: -707, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 2 = 3*f - 5, -2*f + 22 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17406250, 17406248, 17406246, 17406244, 17406242?\nAnswer: 17406240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6846 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 10*m + 4. Let w(f) = -3*f**2 - 10*f + 5. Determine -5*t(c) + 4*w(c).\nAnswer: 3*c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.910325 rounded to 1 decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4355*f = -2985*f + 22020 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooovv. Give prob of sequence vov.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 3:19 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4240 and 3445.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**3 + 1 + 1\/4*c**4 - 3*c**2 - 2*c. Let l be 10*((-21)\/15 - -1). Determine h(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*s - 10. Suppose 0*y = 3*o - 4*y + s, -10 = -o - 2*y. What is the greatest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -245*t + 360 with respect to t.\nAnswer: -245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2*s + s)*(-1819 + 988 - 3338 - 6363 + 647).\nAnswer: 9885*s + 19770","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.4, -0.2, 0, 1\/16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 2544033.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 781 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 2\/19, 0.0564, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 + h**2 - 3*h + 2. Let j be k(-3). Suppose -d = -3*f - 123, 5*d - j = -2*f + 402. What is the highest common factor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -94f + 2e?\nAnswer: -921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -418266*s**2 + 2256*s**6 + 417501*s**2 - 158*s**6 - 2*s**4 wrt s.\nAnswer: 251760*s**3 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 a factor of 2216236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 842 = 2*p + 242, -310 = -p + 3*a. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 + 2*n. Let c be (0 + -20)\/(-4) + -3. Let r(o) = o. Determine c*r(a) - f(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**4\/4 - 17*s**3\/6 - 33*s**2. Let u be k(-4). Let o = 0.153 + -0.053. Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Suppose 0 = x*z + z - 9. What is the remainder when 5 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95 - -250. Let c be ((-4)\/(-14))\/(b\/217). What is the second smallest value in 1\/4, 22, -4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1258678 or 0?\nAnswer: -0.1258678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/10)\/(82\/205). Suppose -a - 2*t = t, 5*a = -3*t + 48. Suppose 5*c = a - 2. Solve 3*z - w*o = 4*z, 2*z = c*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -2*m. Let z(a) = -1. Let q(n) = -n**2 + 11*n - 8. Let f(j) = q(j) + 5*z(j). Let c be f(9). Solve c*u - r + m*r = 0, 5*u + 4*r - 5 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*j + 535*j - 420*j = -7560 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/18 + 16*(-2)\/18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(3 + -5*sqrt(11)))**2.\nAnswer: -270*sqrt(11) + 2553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9*y = 2*v - 25, 3*v - 44 = y. Let h = 16 - v. Let q be -1 - 2*(-39)\/h. Calculate the highest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**3\/3 + 3*m**2\/2 + m - 3. Let t = -6 - -1. Does 10 divide q(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/(-24))\/(-13) + 1\/6.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1112 = 4*s, -165 = 3*h - 3*s - 1842. Let u = h + -323. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145 - 85. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -13 - 2. Let p(l) = -l. Let q(v) = -12*v**2 - 5*v - 5. Let k(z) = -z**3 + 18*z**2 + 5*z + 7. Let m(w) = 2*k(w) + 3*q(w). Determine i*p(b) - m(b).\nAnswer: 2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.85 + 0.15. Let x = w - 12.6. Which is the smallest value? (a) 5 (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28117461 to the power of 1\/3, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*a + 2550 = 100*a + 116*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0289371 to three decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or -71.1?\nAnswer: -71.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w = 2*u + 16, 5*w = -4*u - 20. Solve 5*q = -u*q - 5*m, -3*q + 4*m = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 14. Let j = s + -1. Solve 5*m + 17 = -r, m + 1 + 8 = -j*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(108))*1)**2 - -4*2*sqrt(432).\nAnswer: 109 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*w**3 - 7*w + 408.\nAnswer: 30*w**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16577*y - 9842.\nAnswer: 16577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -328 + 323. Which is bigger: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*6\/30*10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1498 + -1498.1. What is the nearest to z in -4, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 19*t - 20*t. Let p = 26 + t. Let u(g) = 6 + 7*g - p - 2*g - 4*g**2 - g**3 - g. What is u(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11*d - 170. What is r(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 4*o + 6. What are the prime factors of i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:10 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (0 - (6 - -21)) - (28 - 21).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1300) + 1 + sqrt(1300))**2 + 2) - ((sqrt(39) + sqrt(39) + sqrt(156) + sqrt(39))*-1)\/(sqrt(12)\/(sqrt(4) + sqrt(36) + sqrt(4))).\nAnswer: 185*sqrt(13) + 20812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1216132 + -323?\nAnswer: -1216455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 64*x + 52. What is r(29)?\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 16*l**3 + 25*l**2 + 5*l - 3. Let a(x) = -25*x**3 - 38*x**2 - 8*x + 5. Give 5*a(b) + 8*u(b).\nAnswer: 3*b**3 + 10*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8511 + 8511. Solve -4*l + q - 11 = -3*u, 0 = 5*l + 4*u + 37 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 61\/2 of a day?\nAnswer: 43920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29467506631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 203 + 175. Suppose -8*n + 211 = 3*p - 7*n, f*n = 4. What is the remainder when p is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 12:25 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -4, -1455, 2, 0.1?\nAnswer: -1455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368680117.\nAnswer: 3, 547, 1443437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + -255097)\/((-2)\/6). Let d = 537267 - m. What is d rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15001866?\nAnswer: 2, 3, 11, 75767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1658, 7267, 16606, 29669, 46450, 66943, 91142, 119041?\n\"Answer: -z**3 + 1871*z**2 + 3*z - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -5*l**4\/12 + l**3\/6 + 8*l**2 + 2*l. Let z be b(0). Put z, -1, -0.08 in descending order.\nAnswer: z, -0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, a: 1}. What is prob of sequence va?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 2 + 2 + (-4 + 4 + b)*(-b - 3*b + b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/10)\/((-3)\/10). Solve 3*v + r = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.08478 millennia to decades.\nAnswer: 2008.478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -52, -80, -108, -136?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6*f + f - 2352 = 0, -f = 5*g - 2911. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2 + 4306*z - 375313 = 0.\nAnswer: 89, 4217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/((-42)\/12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 12, 2, 5, 497.\nAnswer: 0, 1, 2, 5, 12, 497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191861437 to the nearest integer?\nAnswer: 13851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 0, -0.4, -735, 0.01?\nAnswer: -735","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6775 = 62*p - 73177. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) + (8 - 244\/(-6)). Solve -50*g + 10 = -v*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 457*r - 1915. Let f(x) = 458*x - 1892. Let a(c) = 4*f(c) - 3*y(c). Differentiate a(k) with respect to k.\nAnswer: 461","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 divided by 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2821.26 * 0.066.\nAnswer: -186.20316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-2) + 3038\/450. Let d = -66\/25 + k. Solve -8\/9*r**3 - 4\/9*r - 2\/9*r**4 - d*r**2 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 + 4898933*g**2 + 19595735*g\/2 + 4898934.\nAnswer: -(g - 9797868)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/2 - 397*s**3 - 6309*s**2\/2 - 8262*s - 7074 = 0?\nAnswer: -786, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3692 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Suppose 3*p + 4 = -2*u - 0, -z*u = 4*p + 7. Solve p*i - 2 = 2*b + 2, -5*i + 2 = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*a + 6. Let x = 11 - a. Suppose x*z = 32 + 28. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143841698894 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/123 and (-2)\/16 + (-1455)\/648?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and -0.499.\nAnswer: -0.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -2)*6*2 - ((sqrt(50)\/sqrt(5))\/sqrt(2) + 5).\nAnswer: -29 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 1. Let r be o(-4). Find the first derivative of -85*m + 85*m - 5*m**3 - r + m**3 wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((0\/(-4))\/(-4))\/2)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*b + 0 - 2\/5*b**3 + 4\/5*b**2.\nAnswer: -2*b*(b - 3)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/4 at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3044553 less than 28878?\nAnswer: -3015675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 221?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7d9c5 (base 15) to base 6\nAnswer: 12325552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) - (-1 + sqrt(17)))*-5 - sqrt(204)\/sqrt(48).\nAnswer: -5 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 7*k - 4. Let t be m(8). Suppose -t*d + 69 - 21 = 0. Solve -d = -l - 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12739, 12025, 11311?\n\"Answer: -714*z + 13453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = 2*p, -2*p - 2*f + 17 = p. Suppose 2*n + 15 = -p*t + 7*n, -3*n + 9 = t. Let j = 3 + 2. Solve -2*z + 1 - j = t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000921 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*u + 26, 2*u + 5*g - 7*g + 6 = 0. Let c(o) = o + 36 - u*o + 38 - 75. Let s(y) = -4*y**3 - 2*y + 1. Let t be s(1). Determine c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -615?\nAnswer: -619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64859 - -117220. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1852, 1850, 1846, 1840, 1832, 1822, 1810?\n\"Answer: -y**2 + y + 1852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03157729743 to five decimal places.\nAnswer: 0.03158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 27 (b) 2 (c) 318 (d) -6 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65\/36 + 5\/9. Let f = -0.4 - -0.3. Which is the biggest value? (a) u (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*k. Suppose 3*m - 5*m - 10 = k. What is the units digit of (((-2010)\/(-24))\/m)\/((-1)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29102.\nAnswer: 2, 14551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -11. Suppose y + 4 = 0, 2*p - 2*y + 0*y = 2. Let x = p + l. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 14440727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, -3, -2\/7, 15\/11, 2\/5.\nAnswer: -10, -3, -1, -2\/7, 2\/5, 15\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + -94. Suppose n = -3*m - 9, g - 4*m = -2*m + 8. Solve -d = t - g - 1, 4*t - d = 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/695 and -7\/132525.\nAnswer: 18420975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2915*f**3 - 2*f**2 + 15977*f.\nAnswer: -17490*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i. Suppose 31 = 4*y - 9. Let a(b) = 5*b**2 - y + 22 - 14. Determine a(z(x)).\nAnswer: 20*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2792 (c) -0.5 (d) 1.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + d - 4*d)*(4 - 6 - 12)*(2*d + 0*d - 3*d).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 18246*i + 19384. Calculate d(-1).\nAnswer: 1138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 339362, 339452, 339546, 339644, 339746?\n\"Answer: 2*p**2 + 84*p + 339276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -58*t + 3937. Let r be q(72). Suppose n + 160 = -78. Is r at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -35*w - 907. Let h be k(-26). Solve 2 = -h*x - 16 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -28. Solve 3*h = g*l + 14, 5*l = h + 4*h - 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13158 is divided by 6579.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**3 - 2*y + y**3 - 10 + 6 - 17 + 3 in the form r + n*y**2 + s*y + u*y**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 7. Let i be r(5). Let j = i - -21. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0*f**5 + 11\/12*f**4 + 0*f**3 - 24*f**2 + 2\/35*f**7 + 0*f**6 + 0 + 0*f. What is the second derivative of n(m) wrt m?\nAnswer: 144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 31*m**2 + 4*m - 64. Let l(j) = j**2 + j + 1. Let p = -104 - -105. Let b(c) = p*w(c) - 4*l(c). What is the derivative of b(a) wrt a?\nAnswer: 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -w + 20, -6*z + 3*z = 2*w - 56. Calculate the remainder when z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/10 and 113\/900.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/8)\/((-3)\/12). Suppose 9*i - 4 = 4*i - f*l, -i + 2*l + 8 = 0. Calculate the smallest common multiple of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3931*i*z**3 + 12*i*z + 2*s*z**2 + 183*s - 7*z**3 + 3 wrt z?\nAnswer: -23586*i*z + 4*s - 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 65906930 to the nearest one hundred thousand.\nAnswer: 65900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 29. Let a = l + 44. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24660090?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**7*j**(-2\/11))**39\/((((j**(-1\/5)\/j)\/j)\/(j\/(j**(-7)*j)))\/(j\/(j*j\/(j**(-2)\/j)*j)*j\/(j\/(j*(j\/j**(-5\/4))\/j)))) assuming j is positive.\nAnswer: j**(-51621\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 46430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 511*z + 2292. What is j(-4)?\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19a074 (base 14) in base 3?\nAnswer: -1201021210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-3 + (-2 + sqrt(75) + 2)*4)*-4)**2.\nAnswer: -1920*sqrt(3) + 19344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15587 = 8185339*n - 8185482*n for n.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1085700 to the nearest ten thousand.\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*g = 168, 0 = 4*w + g + 28 - 249. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1350.9 * 0.4.\nAnswer: 540.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 338\/7. Suppose 5*q = -4*z + 19, -2*q + z - 61 = -66. Which is the third biggest value? (a) q (b) o (c) 16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*a = 56 + 30, -5*a = 4*g - 49. Suppose -5*w = 5*x - 2*w + g, 2*x - 3*w = -19. Sort 5, 29, x, 0 in decreasing order.\nAnswer: 29, 5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*r**2\/4 + 9923*r\/4 - 29829\/2.\nAnswer: (r + 326)*(31*r - 183)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5) - 16\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8*v = -78. Let l be (15 - v)*4\/2. Suppose 2*t + u = -1 + l, t = 5*u + 18. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (455*l**2 - 3*l - 328*l**2 + 4*l + 9*l)*(1 - l**2 - 1).\nAnswer: -127*l**4 - 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1375*w = -1316*w - 6372. Calculate the least common multiple of 768 and w.\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 3*a**2 - 5*a + 1. Let n be q(3). Let m(x) = 19*x + x**2 - n*x + 21*x. Let p(y) = -11*y**2. What is p(m(t))?\nAnswer: -11*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -881 + 889. Let k = -118 - -115. What is the nearest to 7 in m, 1\/7, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3605*(-6 - 203\/(-35)). What is the greatest common factor of r and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 12. Let j(t) = -4*t - 48. Let k(x) = -2*j(x) + 9*z(x). Let u be k(-6). Let q be -2 + u\/3*-1. Put -2, -3, q in decreasing order.\nAnswer: q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29.0296 + 0.0296. Let s = f + 34. What is the biggest value in s, -1, -11, 2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.2 (c) -3 (d) -1 (e) -9 (f) -63.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 61088979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z - 14*z + 6250. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 225815 + 5?\nAnswer: 225820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 23*u**2 - 19*u + 69. Calculate w(-24).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w - 16. Let c = -133 + 138. Calculate the least common multiple of (126\/(-45))\/((-2)\/c) and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j**2 + 10*j - 3. Let p be f(-6). Let i be (-6 - (-231)\/28)\/((-14)\/(-56)). Calculate the greatest common factor of p and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1822988 and 636.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123807 is divided by 6190?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvjkkha. Give prob of picking 1 a, 1 h, and 1 k.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + (32 - 31))\/(4\/66882)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 4*p**2 - 4*p - 2. Let f be h(-4). Let i be 3\/12 - f\/(-8). Suppose 0 = -4*v + y + 139, -i*y = 2*v - 0*v - 62. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7372?\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*r - 16 = 0, 11 = -2*f - 4*r + 1. Suppose -3*l + 3 = 0, 5*l = -h + 9 - f. Factor 3*u - 4*u**2 - 2 - 2*u + 6*u**2 - u**h.\nAnswer: -(u - 2)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*p - 4*p. Let k(u) = u**2 + 3*u + 4. List the prime factors of k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15148778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -155\/206 + 1\/412. Suppose u - 20 = -r, 4*r = 4*u - 9*u + 84. Suppose -r = 4*l + 4*c, -2*c - c = 6. What is the third smallest value in -1\/7, l, b?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 - 3\/(-9). Let q be (-7 - 3)\/(-5) + 0 - 2. Solve a = -5*j - 5*o + 50, -o = 2*j - q*j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*(sqrt(1300) - (sqrt(1300) + -2 - sqrt(1300))*4 - -1*1*sqrt(1300)))**2.\nAnswer: 280*sqrt(13) + 5249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 4472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1002\/(-10020))\/(((-28)\/(-32))\/(3\/(-2)))\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1864832485231 - 0.037\nAnswer: -1864832485231.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j - j + 3*j**3 - 8 - 2*j - 2*j**3 + 9*j**2. Let r be y(-9). Differentiate 2*z - 8*z - r + 5*z with respect to z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*l - b + 5*b, -2*l - 4*b = -16. Let x(s) = s. Let i be x(l). Find the third derivative of -2*g**2 + 2*g**2 - g**2 + i*g**5 wrt g.\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/(-21) + 3)\/(100\/(-1875)*25)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-756)*8)\/(-1 + (-17)\/(-14)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 + 2 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njjn when four letters picked without replacement from {j: 3, d: 2, z: 5, n: 3}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 62*p + 67*p - 5 - 15 = 0, -3*p = 5*t - 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 175371*y - 175158*y + 114 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -26. Let h(r) = r**3 - 11*r**2 + 11*r - 8. Let p be h(10). Let a = u - p. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 6 - 23)*(-67*j + 62*j + 63*j).\nAnswer: -1218*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30025.7 times -0.8?\nAnswer: 24020.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 - 2*o**2 + 14*o**2 - 6*o**2 - 39*o**2.\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -71. Suppose 0 = 6*z - 4 + y. Is (540\/16)\/z*-4 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e005 (base 15) to base 6.\nAnswer: -3103305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42948?\nAnswer: 2, 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 10*v + 11. Determine n(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51708 - -2020?\nAnswer: 53728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -2\/149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456326 and 5135.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3231792.789 minus -0.3?\nAnswer: 3231793.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q - 49. Give b(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -65.\nAnswer: 7\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 5*b**2 + 9*b - 18. Let i be z(4). Let s(m) = -17 + 6*m**2 + 4*m**2 - 6*m**i + 17. Let g(k) = k**2 - 6. Calculate g(s(x)).\nAnswer: 16*x**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9229\/25170 - 1\/15.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5046.5 times -1710?\nAnswer: 8629515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*z - 65. Let t be z*(-4 - (-14 + -1)). Calculate the greatest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 6. Let x(m) = m + 6. Let d(w) = 4*n(w) - 5*x(w). Let z(c) = -3*c - 14. Let q(u) = -5*d(u) + 2*z(u). Calculate q(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 71\/11, 8, -5, 4 in decreasing order.\nAnswer: 8, 71\/11, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (744\/(-84) - -5)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaq when three letters picked without replacement from {q: 3, a: 10, z: 3, e: 3}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 18, 3 in decreasing order.\nAnswer: 18, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (14 - (-13 - -15))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1789676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -3. Let c = y + -6. Is 4 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*a**3*d*i**3 + 2*a**3*d*i + 2*a**2*d*i**3 + 2*a**2*d*i**2 + a*d*i**3 + 12*a*i wrt a.\nAnswer: -306*d*i**3 + 12*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(500)*-2)**2)*3 + 3 + (-3 + (6*(0 + sqrt(500)) - (sqrt(500) + (5*sqrt(500)*2 + sqrt(500) - sqrt(500)))))**2.\nAnswer: 300*sqrt(5) + 18527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 2*v**2 - 2*v. Suppose 3*p - 91 = 62. Let k(q) = -3*q + 61*q**2 - 44*q**2 - 8*q**3 - 14*q. Calculate p*f(z) - 6*k(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 20230 = 2*m - 121238, -2*c - 3*m = -50500. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19387, 19352, 19317?\n\"Answer: -35*w + 19422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-410)\/(-6) + (-8)\/24 + 0 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6410143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 201 in 4\/7, 0.03, -1, -1\/2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-32 - -5) - (-38 - -36 - (1 + 24))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -692 - -12572. Let j = 332691\/28 - b. Calculate the common denominator of j and -17\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1261 - 1261 - 3*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 610 + -606. Let u(h) be the first derivative of h**4\/4 - 4*h**3\/3 + h**2\/2 - 3. Calculate u(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1148.1 - -1211. Let w = u + -63. Which is bigger: -202 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-154)\/21)\/(-22))\/(3\/(1080\/8))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -273 * -0.1964\nAnswer: 53.6172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1254067*g - 1254067*g - 930*g**2 to p*g**2 + n + o*g and give p.\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, r: 4, w: 9}. What is prob of picking 3 w and 1 r?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/7 + 12*l\/7 + 9.\nAnswer: -3*(l - 7)*(l + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 12*n**2 + 13*n - 19. Let l(z) = -4*z**3 - 60*z**2 - 10. Let x be l(-15). What is c(x)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - a0482d9?\nAnswer: -a0482d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28140c - 30?\nAnswer: 2813dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4868 + -4795. Calculate the greatest common divisor of c and 16717.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7474, -7480, -7490, -7504, -7522?\nAnswer: -7544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9346 + 2\/(1\/(-18)*-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, l: 10}. What is prob of picking 4 l?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 18 - -18) + (4 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 220*i.\nAnswer: -2*i*(i + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 1. Let b be y(-5). Suppose -p + 2*i + 2 = -3*p, 5*p + 32 = b*i. Suppose 0 = -g + 3*k, -3*k - 5 = 3*g + 7. Sort g, 0, p.\nAnswer: p, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-3 + -2)) + -2 + (-1 - -9)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-72)*((-8)\/(-12))\/(21\/27)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 833706971 - 0.6.\nAnswer: 833706970.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -18, -34, -50, -66?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57977585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - (4 - -4)) + -78. Let m = 129 + r. Calculate the remainder when m is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34300 + 4?\nAnswer: 34304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1134 + 3*y - 2*y - 1114)*(0*y**3 + 9*y**3 - 2*y**3) + (-3*y + 3*y - y**2)*(2*y**2 - 2*y**2 + 2*y**2).\nAnswer: 5*y**4 + 140*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.402433mg?\nAnswer: 6402.433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -301723\nAnswer: -7\/301723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2033.9 (b) -0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 6*q**3 + 2344 - 2344 + q**2 - 76*q**3 in the form x*q**3 + h + o*q**2 + n*q and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1499*p**2 + 5*p + 4. Let n be t(-4). What is n rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 4*v**3 - 3*v**3)*(2*v + 0*v + v)*(2739*v - 31 - 20 + 51).\nAnswer: -16434*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -650 - -348. Let f = 295.56 + d. Round f to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 23)*2\/2. Suppose 2*r - 4*n = -3*r + 10, 0 = r + n - 2. Suppose -39 = -r*h - j. What is the greatest common divisor of h and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvvwqwnvwmb. Give prob of picking 1 v, 1 n, 1 b, and 1 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 8*s**2 + 10*s - 7. Let i be x(9). Let r(o) = 5*o**i + 5*o**3 + o - 8*o - 4*o**3 + 3. What are the prime factors of r(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227235 divided by 6?\nAnswer: -75745\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 256518 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**25*(q**(1\/4)*q)**(2\/7) assuming q is positive.\nAnswer: q**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1529152 + 1529152 + 12952*d to the form z + k*d and give k.\nAnswer: 12952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 2. Let g be (309 - 327) + (-320)\/(-18). Which is the closest to -3? (a) r (b) g (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 19*k**3 + 7*k**2 + k - 13. Let o(c) = -13*c**3 - 5*c**2 - c + 9. Let l(a) = -5*d(a) - 7*o(a). Let r(v) = 17*v**3 - 9*v - 9. Give -18*l(b) - 4*r(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.55 - -0.5. Suppose -2*i + 5 = 3*i. Is j smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 6 (b) -3 (c) 5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/6)\/13*(-54)\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -243 or -244?\nAnswer: -243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4 + 6 = 0, 48 = -4*z - 2*f. Let n(k) = -k + 2. Does 15 divide n(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 41.48355 months?\nAnswer: 3.4569625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 200*g - 194*g. Let q(t) = t**3 + 6*t**2 - 2*t - 8. Let o be q(-6). Let j = o + g. Let b(z) = z**3 - 4*z**2 - z + 2. Determine b(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**5 + 394*w**6 + 5*w**2 - 376*w**6 - w**5 wrt w?\nAnswer: 2160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 - 10 = 0. Let p(g) = -g**2 - 4*g + 8. Let r be p(-7). Let d = i - r. Calculate the remainder when 49 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 31. Suppose q*r - 3 = -24. Sort r, 1\/2, 5, 0.4.\nAnswer: r, 0.4, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**8\/84 + 2*h**7\/21 - 7*h**6\/30 - h**5\/15 + 4*h**4\/3 - 8*h**3\/3 - 192*h**2 - h. Solve w(n) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*r - 12 = -266*r + 103. Sort r, -7, -4, 3, -3 in increasing order.\nAnswer: -7, r, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) -26\/9 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.30817 years to decades.\nAnswer: 3.030817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 418*s - 423*s = 20, 0 = 5*q + 2*s + 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2211 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 12:28 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f*f**(-4\/3)*f*f)\/f*f*f**(-7))\/(f**(4\/3)*f*f**8))**(1\/6) assuming f is positive.\nAnswer: f**(-41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 52*d**3 + 2*d**2 - 2*d + 1. Calculate g(1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 59, 132, 247, 416, 651, 964?\nAnswer: 1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 0)*(-1 - 3 + 2) - 4 + 0 + 2 + 1 + 2 - 1)*(-k**5 - 2*k**5 + 2*k**5).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 3*i - 11 = 2*h, 3*h - i = 11. Suppose h*k - x = 2*x + 81, x = 3. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g - g - g + (2 - 3 + 0)*(-3 + 2*g + 3) + g + g - g - 4*g + 0*g + 3*g + 0 + 0 - 2*g + 2 + g - 2 + (-3*g + g + g)*(2 + 1 - 1) + 3*g - 4*g - g + g + 3 - 3.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millennium in years?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8\/11, 5, -0.21, -50, 1, -0.3, 0.163?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-20 - -11) + (-773)\/(-72) and -67\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {m: 4, k: 2, o: 4, z: 2, v: 1, l: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 6*n + 9. Let d be w(-5). Let q(j) = -2*j + 12. Let r be q(5). Suppose -3*b - r*u + 166 = 0, d*b - 5*b + 47 = -u. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g = -30. Let h = 4217 - 2182. Suppose n = g*n - h. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12001222 (base 3) in base 16?\nAnswer: -e72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**3\/3 - 7*t**2 - 9*t + 5. Let i be u(-13). Suppose 95 = i*l + l. What is the remainder when l is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -2062*k**7\/105 - 1298*k**3\/3 - 8*k**2 + 4*k + 13. What is the first derivative of z(x) wrt x?\nAnswer: -16496*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -q + 135, d + 540 = 4*q - 0*d. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + h)*(h - h - 2*h) - 16*h**2 - 15*h + 15*h.\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 - 4*y**2 + 4*y**2 + (-y**2 - 2*y**2 + y**2)*(6*y - 4*y + 7*y) + 0 - 79*y**3 - 5*y**2 + 1 + 78*y**3 to l*y**3 + x + o*y**2 + z*y and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeceeece. Give prob of sequence cee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00053 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - u - 10 = -0*u, -22 = -3*k - 2*u. Let l = k - 2. Let a be l\/(-18) - (-116)\/36. Solve 2*n - 11 + a = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.5904 decades in months?\nAnswer: 57310.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 13053*d + 390699. What is m(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2))\/(3\/(-20)). Let w = x + -26. What is the tens digit of -1 + (1 + -3 - w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35155.05ng in grams?\nAnswer: 0.00003515505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*sqrt(4))\/sqrt(2).\nAnswer: -4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/58338 and 5\/57832404?\nAnswer: 173497212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(3*z + 16*z - 3*z)*(3 - 3 + 2*z) + (4*z - 2*z + 33*z)*(-2*z - 3*z + 4*z) + (-2*z + 4*z + 0*z)*(0 + 0 - 2*z).\nAnswer: -71*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 493061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1215 + -7?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24\/7 + -65\/21. Let g be 0\/((-3 - -6) + -1). Is y greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Let v(z) = z + 9. Let j be v(-8). Let h be (j\/(-2) + 2)*2. Solve q - h*q + 6 = x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -572 - -572.000005657. What is d rounded to 7 dps?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 18. Suppose -8*a + 15 = -3*a. Let p be 3 - a\/((-12)\/52). Solve -2*x - p = -4*i + 2*x, 2*x = -3*i - m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -644316 + 300?\nAnswer: -644016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.94*354725.\nAnswer: 333441.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -5*s - 8. Suppose -3*k + s = -5*k. What is the remainder when 71 is divided by 20 + -1 - k\/(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + 4*(sqrt(68)*2 - sqrt(68)) + -1 + (sqrt(68) - sqrt(68)*1*4 - sqrt(68)))**2*-5.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d - 4. Let b(x) = 9*x**3 - x**2 - x + 2. Let s be b(d). Calculate the common denominator of 117\/14 and ((-82)\/s - 1)*50.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 (base 4) in base 5?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + d + 20 = 0. What is the second derivative of 12*s - 41*s + 12*s + 13*s - d*s**3 wrt s?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n + 1. Let t(w) = w - 2*w + 5 - 6 - 2*w. Suppose -r + 1 - 2 = 0. Let v be t(r). Calculate c(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/11 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*-2)*2)\/(sqrt(21)\/sqrt(12)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q - 32. Suppose o + 4*t + 19 = 0, 3*o + 3*t - 4 = -q. Let k = -0.2 - 0.3. Put -3, o, k in descending order.\nAnswer: o, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*l, 4*u + 9 = -u + 2*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -96634 + 4?\nAnswer: -96630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4382 - -26?\nAnswer: 4408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1871379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36192 by 1.\nAnswer: -36192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15560, 15578, 15596, 15614, 15632?\n\"Answer: 18*z + 15542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5*h - 82 = -114, -5*b = 2*h - 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 122*t - 135*t + 62*t - 245 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1)*(6\/54 + (-127)\/1062).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*l**2\/3 + 28*l - 98\/3.\nAnswer: -2*(l - 7)*(5*l - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -22)*(-6 - -4). Let w = -25 - d. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 470 - 437. Let k(h) = h**3 + h**2 + 5*h - 3. What is the least common multiple of d and k(3)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573951764?\nAnswer: 2, 59, 2431999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*a + 355 = -158 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 11380714.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*35\/(1260\/(-48))*1\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13193.2 + -13193. Let z = 1\/138 + 131\/966. Sort 3, n, z, 2\/13 in ascending order.\nAnswer: z, 2\/13, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/4 (b) -2 (c) 2\/13 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - u - 1. Let f be s(-2). Suppose 0 = 4*i - 2*w - 22, -w = -f*i - 2*w + 24. Suppose -4*b - 20 = 0, i*b + 8 = 2*h + 3*b. Is h less than 3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -22 + 16 + 124*t**2 + 15 - 9*t. What are the prime factors of f(1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.02 (c) 3254\/185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -558870 divided by 42990?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -11*m**3 - 5*m**2 - 18*m - 41. Let z be j(-2). Sort 1\/5, -0.5, -1, z in decreasing order.\nAnswer: z, 1\/5, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 7*n**2 + 2*n + 1. Suppose 5 = 2*o - 7. Let y(m) = m**3 + 6*m**2 - 2*m - 1. Calculate o*f(x) + 7*y(x).\nAnswer: x**3 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 3334990?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 4)*(-2*o**2 - o**2 + 5*o**2) + (-2 + 3 - 3)*(15*o + 16 - 16)*(5*o + 4*o + 15*o)*(3 - 3 + 3).\nAnswer: -2164*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 228248 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8617 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6212 divided by 10713\nAnswer: -6212\/10713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(((-1)\/((-28)\/(-18)))\/(294\/343))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7210615?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 1623 + 1543 = 0 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2460 by -18.\nAnswer: -410\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009458 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511687930.\nAnswer: 2, 5, 13, 17, 231533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 133843 from 2057.01.\nAnswer: -131785.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4618.\nAnswer: 2, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 222315 smaller than 222318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/2627 or 2\/1933?\nAnswer: -33\/2627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*j - 28*j - 140. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2382910)\/(-90) - 6\/(-81)*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2841 = -5*l, -4*y = -27*l + 31*l + 5752. What are the prime factors of 0 + 5 - (y - (1 + 0))?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 2*b**2 - b. Let s be -3 + (4 - 0) + 2. Let m be y(s). Solve r - m*r = 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327319587 to the power of 1\/2, to the nearest integer?\nAnswer: 18092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {o: 1, u: 3, v: 3, l: 10, n: 3}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4 + 2 + 0 - 3*t. Give q(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, a: 2, m: 3, j: 3}. What is prob of picking 1 a, 2 m, and 1 e?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -10*v - 96. Let t be (-1*(-1)\/1)\/1. Let j be ((-4)\/30*-3)\/(t\/660). What is the highest common factor of v and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(750\/(-220)) + 8 + -2. What is the smallest value in f, 1, 0.2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34158960 a multiple of 1881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-230) + -3 + (-1 - 58\/(-15))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times 361?\nAnswer: -13357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - a - 33, -a - 23 = -4*y + 3. Suppose -y*f + 7793 + 1874 = 0. What are the prime factors of f?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v - 43. Let m be b(6). Sort -5, 0, m, 2 in ascending order.\nAnswer: -5, 0, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 208*10\/20 - 11. Calculate the highest common factor of p and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**3 - 10*m**2 - 7*m + 13. Let o(p) = -p**3 + p**2 + p + 1. Let c(g) = -b(g) + 3*o(g). Let x be c(-12). Let z = x - -1. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-20)*4\/2. Let y = -61.0634 + 60.9634. Which is the closest to d? (a) 1.9 (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*k**2 - 4*a**3 - 13*a**2*k**2*w + 39*a**2*k + 6*a**2*w + 4047*a*k**2 + 47*a*k wrt k?\nAnswer: -4*a**3 - 26*a**2*w + 8094*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 214*q**2 + 197*q + 2. Let u(w) = -1070*w**2 - 983*w - 11. Let s(z) = -11*b(z) - 2*u(z). Find the second derivative of s(g) wrt g.\nAnswer: -428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 7:42 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Suppose -4*g + 2*f + 56 = 0, 2*f - 3*f = -2. Suppose 0 = 2*x + t + 3, t - g = -m*x + 6*t. Is x at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1707)\/(-9) + (-4)\/(-12). Let y(n) = n**2 + 5*n + 3. Let j be y(-5). Suppose -j*s + 6 = 0, p - a = -4*s - 49. List the prime factors of p.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 6.4. Let k = y - -3.6. What is the third smallest value in -3, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, 1120057, -3 in decreasing order.\nAnswer: 1120057, 13, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*i + 11. Let u(f) = -2*f**2 - 14*f + 2. Let l be u(-7). Suppose -23 = -l*y + 17. Calculate the least common multiple of y and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -17*n**2 - 3483*n + 410 = 0.\nAnswer: -205, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12604 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 517 = -49*w. Suppose -5*v - z = 25, 0*z + z - 11 = v. Which is bigger: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:17 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -929 + 19*l - 934 + 1862 + (0 + 0 + 2)*(-4*l + 0*l + 5*l).\nAnswer: 21*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.815 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, 0, 26 in decreasing order.\nAnswer: 140, 26, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2982.04 + -3062. Let w = 80 + c. Let n = -14 - -10. What is the third smallest value in 1\/3, w, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*(-3 + 30\/3). Let v = p - -34. Suppose -4*k + q = -170, -v = -3*k + q + 2*q. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.100822?\nAnswer: -0.403288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3449693 or 3449701?\nAnswer: 3449693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 36 = 3*l - 4*m, 0 = 2*l + 2*m - 18. Let p = l + -2. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -271, -435, -633, -877, -1179, -1551?\nAnswer: -2005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*i + 2*l + 3, -20 = -5*i + 4*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*f - 25, -4*q + 5*f = 8*f - 23. Suppose -20 = -q*l - 12. Solve 9 = h + l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**4 - 5*f + 2*f**4 + 6*f + 23 + f**3 - 3*f**3 in the form m*f**2 + k*f**3 + a*f + n*f**4 + d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611679600 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 a(c) = 3*c + 181. What is the remainder when a(-36) is divided by 50?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*t - 1681 - 468 = -19 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) + 54\/(-8). Let a = d - -12. Suppose -4*f - 2*q - 3*q + 4 = 0, -f - q = -2. Solve -f - 4 = -a*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, h: 5, i: 13}. Give prob of sequence ixx.\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -18949*p - 1193796. Calculate n(-63).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 320454?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + l + 15. Suppose a + 2*i = l*a - 6, -6 = 5*a + 2*i. Let h = -37 - -38. Sort a, 4, h.\nAnswer: a, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5758274 is divided by 1027.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 761*t**5\/20 - 29*t**4\/12 - 7*t**2\/2 + 8*t + 14. What is the third derivative of z(l) wrt l?\nAnswer: 4566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 569*b - 50. Let v(r) = -208*r + 17. Let z(x) = -4*l(x) - 11*v(x). Let h(t) = 3*t + 3. Determine -18*h(i) + 4*z(i).\nAnswer: -6*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {u: 7, o: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 995968 < -115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*o = 3*n + 3*n + 44, 7*n - 2*o + 202 = 0 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333627\/5 > -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65a7 - -4?\nAnswer: 65ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17075 = -366*t - 8657 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48412 by 26.\nAnswer: 1862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 239 = 187. Let n = p + 148. Solve 9 = 3*i - n*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 405 and 2745?\nAnswer: 24705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, 7, 6, -0.7191, 3\/5 in descending order.\nAnswer: 7, 6, 3, 3\/5, -0.4, -0.7191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g - 4 = 0, u + 2*g = 12. Suppose -3*z - u = -5*d, -4*z = d - 3*z - 8. Let i be 3\/(65\/(-20) + d). Let h(y) = y**2 - 3*y + 1. Calculate h(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 121 = 289. Let k(t) be the third derivative of 0 + 0*t - 1\/180*t**6 + 0*t**5 - t**2 + 0*t**3 + 0*t**4 + 1\/315*t**h. Factor k(m).\nAnswer: 2*m**3*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p**2 + 10*p + 5. Give h(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from iimimimmmmimimim.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 45*c + 170. Let t(j) = j**2. What is s(t(f))?\nAnswer: 45*f**2 + 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15614, 4, -3 in descending order.\nAnswer: 4, -3, -4, -15614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 - 47. Suppose -5*m + 0*c = 3*c - 94, 4*m = -c + b. Suppose 2*x - m = 9. Calculate the remainder when x is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1109970 and 74?\nAnswer: 41068890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8663.0139*0.08\nAnswer: -693.041112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggakittkiagg. Give prob of sequence giki.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2.7. Let x = -4.793 + -0.107. Let a = -0.9 - x. What is the second biggest value in g, a, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10*t**2 + 4*t - 8. What is the tens digit of k(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 3717*o - 1902888.\nAnswer: (o - 456)*(o + 4173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**3 - 5*o**2 + 4*o - 3. Let x(b) = 46*b**3 - 118*b**3 - 9*b + 11*b**2 + 7 + 62*b**3. Determine -7*a(k) - 3*x(k).\nAnswer: -5*k**3 + 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1 - (10 - -5) - (-237 + 230)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10928 + 10931. Sort u, -5, 2, -166 in decreasing order.\nAnswer: u, 2, -5, -166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -670843, -670122, -668919, -667234?\n\"Answer: 241*m**2 - 2*m - 671082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/84*-10 - -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3384149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 321518, 643049, 964580, 1286111?\n\"Answer: 321531*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3284 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -21. Suppose -2*b - 2 + v = 0. Solve 5*a - 26 = -5*g + b*a, -3*a - 11 = -5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmirwmiwmrlriwwmmr. Give prob of sequence iww.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277 = 639707*y - 639702*y + 7*p, 11 = -5*y + p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113664 plus -7.5?\nAnswer: 113656.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*5*sqrt(2187))\/((sqrt(2187) + (sqrt(2187)*-2 - sqrt(2187) - sqrt(2187)))\/sqrt(3)).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 806592444 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*a**5*v - 2*a**3*v - 8*a*v + 2*a - 8 wrt a?\nAnswer: 2800*a**3*v - 12*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 12. Let i(d) = 2*d**2 - d**3 - d + 7*d + 0*d**b - 9. Let l be i(3). Solve -2*r - 14 + 4 = l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -386.799 + -60506.601. Let i = -60857.39944 - l. Let u = i - 36. What is u rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = 4*c. Let s be c*1\/(-2) + 181. Round s to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129*i - 16*i + 24*i)*(i**2 - 2*i + 2*i)*(1 - 1 + 3)*(-2 - 1 + 2).\nAnswer: -411*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (1 - -2 - -120). Let p = o + -77. List the prime factors of p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288364 < 288370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -536896 and -259.\nAnswer: -537155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36281114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 0.12183578\nAnswer: -0.073101468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-6) - 25\/20*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 10:59 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 34*k + 5623. Determine r(-60).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/3 - 3146*n\/3 + 312800 = 0.\nAnswer: 400, 1173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -6*h**4 - 8*h - 13. Find the first derivative of r(i) wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27\/2? (a) -3 (b) -5 (c) 31\/3 (d) 301\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2334797\/819 + -17842\/117. Let p = 2998 + o. What is the common denominator of p and 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*sqrt(468).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11105, 89111, 300861, 713231, 1393097?\n\"Answer: 11146*n**3 - 4*n**2 - 4*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 + 0.2. Which is the third smallest value? (a) d (b) 3\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490728208.\nAnswer: 2, 829, 36997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/35 - 1353\/(-1353))*(-5)\/(-21).\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4 = 1, 49 = -4*g - 5*c. Let v = g + 7. Find the common denominator of (-206)\/56*v\/(-2) and -131\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 6898. Let j(n) = n**2. Determine j(a(u)).\nAnswer: u**4 - 13796*u**2 + 47582404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4380 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**6\/40 - 25*b**5 + 15625*b**4\/2 + b**2 - 809*b. Factor a(v).\nAnswer: 3*v*(v - 250)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -159673?\nAnswer: -2\/159673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/335 - -676\/1005. What is the biggest value in -8, 2\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*j - 14. Suppose h + j - 21 = 0. Let o = 27 - h. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 v, and 2 t when four letters picked without replacement from ftivffvbitif.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -63030 times 6.2\nAnswer: -390786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10120, -20243, -30376, -40525, -50696, -60895, -71128, -81401?\nAnswer: -91720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = l + l. Let q = -7 + 7. Sort 5, q, l in ascending order.\nAnswer: q, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16\/(((-24)\/168)\/((-3)\/1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-13)*(46 + (-483)\/14)\/23?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9728 and 646.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -625 divided by 9?\nAnswer: -625\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1640 and 394584.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + ((1 - -6) + -8 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 8. Let w(b) = -20*b**2 + 12*b + 12. Let a = -1226 + 1221. Let v(m) = -m**2 - 5*m + 9*m**2 - 5 + 0*m**2. Give a*w(f) + p*v(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -325 + 508. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3055832 divided by -1527916\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 6*q - 4*q)*(-535 - 322 + 269).\nAnswer: -1764*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 - c**2 - 21*c**2)*(4*c**3 - 5*c**3 - c**3).\nAnswer: 32*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 10. Let m = 45 + z. Let q = m - 43.000019. What is q rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 11820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -320 + 316. Let b(a) = -61*a + 20. Let m(g) = -31*g + 10. Let h = -6 - -13. Let t(u) = h*m(u) + j*b(u). Differentiate t(o) with respect to o.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -456 + 460. Suppose c - 12*q = -16*q + 938, -m*c = 2*q - 3780. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-5*o**2 + 3*o - 3*o)*(4*o - 2*o - 3*o) + 3*o**3 + 3*o**3 - 5*o**3.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32*d*s**2 + 90*d*s - 5*d + 2*s**2 - 90*s + 1554 wrt d?\nAnswer: 32*s**2 + 90*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10286*f**3*r**2 + 4*f**3*r - f**2 + 154*r wrt r.\nAnswer: 20572*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(2*x + 3*x + 7*x)*((-3 + 1 + 1)*(1 - 5 + 3) - 1 + 4 - 5)*(1 - 1 - 12)*(-6 + 4 - 2).\nAnswer: -1728*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:35 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/17*w - 6\/17 - 2\/17*w**2 = 0. Calculate w.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 5*a + 285. Suppose 0 = -2*u, 4*u - 1296 = -h - a*h. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9\/920 - -2623\/690. Find the common denominator of f and 79\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -768db9 (base 16) to base 13.\nAnswer: -17c0571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 736 or 748?\nAnswer: 736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 2*s + 3*s - 6)*(-s - s + 4*s) + (-2*s + 3 - 3)*(3*s + s - 2*s).\nAnswer: -2*s**2 + 46*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2381 times 2.16\nAnswer: -5142.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -112 + -15535?\nAnswer: -15647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3 + 35*t**2 + 16*t**2 + 3*t + 39*t**2. List the prime factors of v(-1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6))**22\/(y**(-1\/18)*y*y\/(y**15*y)) assuming y is positive.\nAnswer: y**(-2123\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*(sqrt(2299) - (1 + sqrt(2299))) - (0 + sqrt(2299) + sqrt(2299)*-2 + 2))**2 + -4.\nAnswer: -132*sqrt(19) + 2331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4*l)*(-4 + 0 + 6)*(-l + 2*l + 4*l).\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 32*s + 9. Let r(d) = 3*d + 1. Calculate -22*r(n) + 2*w(n).\nAnswer: -2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 3)*(-30 - 94 + 17)*(-1 + 2*s**3 + 1) to m*s**3 + k*s**2 + w + n*s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 12. Let r = -2 - p. Suppose t = 3*y - 3*t - 37, -2*y + 58 = 4*t. Calculate the remainder when y is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1406a1 (base 11) to base 13.\nAnswer: 7945b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**3 + 24*h. Let k(u) = -u**3 + u**2 - 1. Let w(o) = 5*o**3 - 4*o**2 - 5*o + 4. Let z(v) = -4*k(v) - w(v). Give -3*s(i) + 14*z(i).\nAnswer: -2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10263*m + 10230*m - 429 = 0 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*x + 57, -3*g + 19 = 4*x - 28. Suppose 5*u = 3*m - x*m + 3670, 2200 = 3*m + 4*u. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -13*d**2 - 1\/90*d**6 + 1\/18*d**4 + 0 + 0*d + 1\/90*d**5 - 1\/9*d**3. Factor q(w).\nAnswer: -2*(w - 1)*(w + 1)*(2*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 4, o: 1, x: 9}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 11*m**2\/2 + 8*m + 21. Is p(2) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -9*q + 423. Is 37 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 555977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/7 - 280*n + 75258\/7 = 0 for n.\nAnswer: -1017, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1053) - (sqrt(1053) + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1537199?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -21*l**2 - 1092*l + 2277. Determine x(-54).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3\/8 (c) 0.02 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -90, -319, -684, -1185?\n\"Answer: -68*x**2 - 25*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 16*i + 24. Let f(c) = -c - 1. What is -b(m) - 20*f(m)?\nAnswer: 4*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*g - 1365, -2*z = -g - 398 - 151. Solve z*w = 270*w + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - (-150 - (-129 - -86))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2 = -8. Suppose 0 = -j*p + 4*p - 24. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 37*h + 1268. Calculate the remainder when 359 is divided by c(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*n + 7 + 6 = 0, 0 = -5*k + n + 10. Which is greater: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + -13 - -4) + 3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 23. Let a(o) = o + 8. Determine 11*a(r) + 4*i(r).\nAnswer: 3*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f**2 - 21*f**2 + 44*f - 48*f.\nAnswer: 3*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 58*s**2 - 154*s - 5556. Let k = 160 - 59. What is the remainder when k is divided by p(-59)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -12*b**2 + 380*b + 2280. What is v(-6)?\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*g - 4*r, -5*g = -0*g - r - 19. Suppose -g*m = t - 19, 4*t - 2 = 2*m + 4. Solve 10 = p + t*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84495.47 kilograms to grams.\nAnswer: 84495470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 42751.6?\nAnswer: 42754.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -277, -1417, -3333, -6031, -9517, -13797, -18877?\n\"Answer: -t**3 - 382*t**2 + 13*t + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3782\/3405 - 10\/227. Let f = 6560 + -314803\/48. Calculate the common denominator of c and f.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -17. Let u(h) = 7*h - 27. Let m be u(14). Let v = m + -67. Solve -v*d + d + s = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 9028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s**4 - 11162*s**3 - 145614*s**2 - 19750*s + 114712 = 0 for s.\nAnswer: -1103, -13, -1, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, -5, -6, -25, -936, 2 in increasing order.\nAnswer: -936, -25, -12, -6, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**4\/8 - p**2. Let b(l) = l**2 - 2*l + 2. Let r(z) = -3*z**2 + 5*z - 5. Let s(i) = 5*b(i) + 2*r(i). What is s(a(m))?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**2 - 875 + 15*p**2 - 3*p + 8*p**2 + 201.\nAnswer: 5*p**2 - 3*p - 674","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21020122100010 (base 3) to base 4.\nAnswer: 32230021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 39 = v + 2*v, 3*o + 9 = v. Suppose c - v = -2*c. Suppose -5*n + 5 = -70. What is the highest common divisor of n and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 521*w - 469*w + 676 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1999\/3 + 19729\/30. Let m = -3296 - -16427\/5. What is the common denominator of p and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**5 - 5*d**4 + 3*d**3 - 3*d**2 + 2*d. Let m(p) = -3*p**5 + 16*p**4 - 9*p**3 + 10*p**2 - 7*p. Let f(j) = -21*l(j) - 6*m(j). What is z in f(z) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 - 73*s + 1. Let z(g) = 11*g**2 - 292*g + 6. Give 9*t(h) - 2*z(h).\nAnswer: 5*h**2 - 73*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1\/33, 58, 39, -3, 4 in decreasing order.\nAnswer: 58, 39, 4, 1\/33, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 53 - 1 + 94418*x**2 - 42.\nAnswer: 94418*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, -68\/33, -0.046?\nAnswer: -68\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 69*f + 692. Give g(57).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**12*w*w*w**(-4\/3))\/(w*(w*(w\/(((w\/w**(11\/5))\/w)\/w))\/w)\/w*w**(-2\/9)) assuming w is positive.\nAnswer: w**(436\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11742280, 11742286, 11742302, 11742334, 11742388?\n\"Answer: v**3 - v**2 + 2*v + 11742278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/545538963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 50, 112, 198, 308, 442?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 634000 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -42, -46, -32, 6, 74, 178, 324?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*i**3 + 238*d*i**2 + 2*d - f*i**3 + f*i + 2*i - 2 wrt i?\nAnswer: 6*d*i + 476*d - 6*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*k - 342 = 32*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**4*y + 3751016*b**2*y**3 + 394*y**3 - 11966*y wrt b.\nAnswer: 8*b**3*y + 7502032*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n = -3*h - 2, -25 = -5*h - n. Let l be (-11)\/h - (1 + -2). Let z be 3\/((9\/(-2) - 18)\/((-3)\/1)). What is the closest to z in -0.3, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 11*z**2 + 15*z - 28. Let s be m(10). Solve -19 = -3*x - s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.653291ug to tonnes.\nAnswer: 0.000000000009653291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w - 4. Suppose -8 = -h + 2*a, -4*h + 32 = h - 2*a. Suppose -h*s - 49 = -13. What is p(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -766 divided by -4.\nAnswer: 383\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in 3\/2, -1, 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 145 - 145 + 5*f**2 + f in the form v*f + k*f**2 + r and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1\/2704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -70*i**2. Let y(g) = -23*g**2. Let c(v) = 2*w(v) - 7*y(v). Let t(a) be the second derivative of -5*a**3\/6 - 4430*a. What is t(c(f))?\nAnswer: -105*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 8 - (-6 + 9 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**5 + 2*t**5 - 5*t**5)*(-2 + 6 - 3) + 4 - t**5 - 4 + (-2*t**4 + 4*t**4 + 7*t**4)*(-t + 5*t - 2*t).\nAnswer: 15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28012481 and 4046.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 4852044459 to the power of 1\/3, to the nearest integer?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1772029, -1771995, -1771973, -1771969, -1771989, -1772039, -1772125?\n\"Answer: -w**3 + 41*w - 1772069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 6*w - 28. Let b(f) = -3*f**3 - 2*f**2 + 3*f + 4. Let j be b(0). Let z(s) = w + j*s**2 - 14 - 5*s**2 - 10*s + 4*s. Determine z(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*w + 760 = 115*w. Let m = 303\/2 + w. What is the second biggest value in m, 4, 5, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 22*o + 1. Let w be r(15). Suppose -w + 101 = -5*k. Solve -10 = -k*f + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119691284+0.4\nAnswer: -119691283.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2\/9 - 40*b\/9 + 1600\/9 = 0.\nAnswer: -40, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4405a198 - 1?\nAnswer: 4405a197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3442463 rounded to 3 dps?\nAnswer: 2.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31070 is divided by 403.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28620543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o**4 + 14*o**3 - 21*o**2 + 9*o - 2. Let f(k) = -12*k**4 + 30*k**3 - 43*k**2 + 19*k - 4. Let l(j) = 6*f(j) - 10*s(j). Factor l(r).\nAnswer: -4*(r - 1)**3*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l**3*p + 4*l**3*z**2 + 3*l**2*p**2*z + 237*l**2*p**2 - 15*z**2 wrt z?\nAnswer: 8*l**3*z + 3*l**2*p**2 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -108, -133, -138, -117, -64, 27, 162?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3d223 (base 14) to base 10\nAnswer: -151343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -48\/11 (b) 0 (c) 1 (d) -5 (e) -220\/251\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*s = 2*a + 7034415, 4*a + 7034380 = 4*s. Round a to the nearest ten thousand.\nAnswer: -1760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k**4 + 3*k**3 - 3*k**2 + 3*k - 113. Let y(d) = d**3 - d**2 + d - 1. Let p(f) = -q(f) + 3*y(f). What is the first derivative of p(w) wrt w?\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 879 - 676. What is the highest common factor of 14 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2030271566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 1:25 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 878 = 508. Does 63 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 y, and 1 k when four letters picked without replacement from kkyfkykfkkkkfkmykmk.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.213 + -3.727. Let g = 0.06 - i. Let z = -3.9869 - 0.0131. What is the biggest value in 0.2, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39\/42 - 402\/804. Let m be (-1)\/12 - 5\/(-15). Which is the second biggest value? (a) m (b) -7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30549*d*p + d + 61898*p with respect to d.\nAnswer: 30549*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1224254606 rounded to the nearest ten thousand?\nAnswer: -1224250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1774, 7080, 15932, 28336, 44298?\n\"Answer: f**3 + 1767*f**2 - 2*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1274*x**3 + 5*x**2 - 9*x + 6. Let u be o(1). Is u < 1277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/80136 and 199\/44520?\nAnswer: 400680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32\/14857 - -2903876\/3758821. Let d = v - 22\/23. Let b = -379.5 - -379. What is the smallest value in 0, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/((-48)\/(-28))*(12 + 6). Let g be 2\/3 - (-9872)\/(-12). What is the tens digit of g\/(-21) - (-9)\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968015 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**6\/30 - p**3\/3 + 16*p**2. What is the first derivative of n(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-147)*(1064\/95)\/8*-5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = 2. Let s(a) = -147*a + 2. Let q(x) = 146*x - 1. Let r(k) = -3*q(k) - 2*s(k). Is r(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404417 (base 8) to base 15.\nAnswer: 297cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -339*l - 55. Let r be z(-14). Let h = -37581\/8 + r. Calculate the common denominator of 25 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22236*z**4 - 7*z**3 - 44*z - 130513128?\nAnswer: -88944*z**3 - 21*z**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 3*g + 1 + g + (g + 1 - 1)*(-9 + 2 + 0) + g - g - g - 1 - 2*g + 1 - 2*g + 2*g - 2*g + (0 - 1 + 0)*(g + 0*g + g) - 3*g + 2*g + 0*g - 2*g + 2*g + g.\nAnswer: -12*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -50\/13, -3\/4, 48?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176774123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**39)**(-30)\/(c**(-3\/5)*c*c**1*(c**(-1\/2))**(-43)) assuming c is positive.\nAnswer: c**(-23629\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6678767 grams?\nAnswer: 667.8767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 45 = -11*g. Let k = g - -28. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 98*b**2 + 893788*b\/15 - 255728\/5 = 0.\nAnswer: -63932\/105, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1793 + -1750. Calculate the remainder when 3052 is divided by o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b (base 14) to base 15\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnn when three letters picked without replacement from dddnnddddddndddd.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22128725 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -122, -133, -130, -107, -58?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1711 + -1707. Solve 63 = -q*b - 17*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7525, 8191, 8857?\nAnswer: 9523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24650\/7 + 5619647\/1596. Calculate the common denominator of o and -131\/570.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3071, -6935, -10799, -14663?\n\"Answer: -3864*q + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b6f8 - 4?\nAnswer: -4b6fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -417*i**3 + 12*i**2 - 86*i. Let t(v) = -167*v**3 + 5*v**2 - 34*v. Calculate -5*g(w) + 12*t(w).\nAnswer: 81*w**3 + 22*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 43, 5, 2173, 0.4, -8\/7?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 87 + 2*q + 75.\nAnswer: -3*q - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78861.\nAnswer: 3, 97, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 263583*m**6 + 2274*m**2 - 32*m wrt m?\nAnswer: 31629960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6060972 minutes to seconds.\nAnswer: 36.365832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -45. Let x = -0.8 + 0.748. Let i = x + -0.148. Sort 6, i, k, 0.5 in descending order.\nAnswer: 6, 0.5, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 137?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5260 divided by -1?\nAnswer: 5260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29+155207\nAnswer: 155236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4360 (base 14) to base 13\nAnswer: 53c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*x + 4*u + 2, 2*x + 4 = 3*u. Let o(f) be the third derivative of -f**6\/40 + f**5\/60 - f**4\/8 - f**3\/6 + 6*f**2. Is o(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 3 = -i, -4*t + 5*i = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 188 + -183. Suppose -v*x + 19*x = 0. Solve -w - 2*u - 4 = x, 5*w - u - 14 = -34 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1\/2 (c) -1\/11 (d) -3 (e) -2 (f) -4\/7951\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1556 = -17*i + 1198. Calculate the greatest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, f: 1, x: 2, b: 1, h: 2, z: 1}. Give prob of picking 1 y, 2 h, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1052 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 75, 151, 231, 315, 403?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 202816.853 - 203107. Let u = w + 290. Let y = 0.03 + u. What is y rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 6*v - 2754 = 0. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 93, 5.\nAnswer: 1, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -2*j - 16 + 25, -2*j = m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*y**2 + 0*y**2 - 7*y**6 + y**2 wrt y.\nAnswer: -840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 14 + 162 = 2*l + k, -37 = -l - 3*k for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.07. Let p = -0.15 + z. Let g = -0.11999896 - p. What is g rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3818487 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:37 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.5, 3\/224, 1\/15, -4, 0.9?\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-3))\/1 - 3562\/(-39). Let f = -50 + k. Suppose 38 = 10*o - f. What is the greatest common factor of 40 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10910 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.2 + 10.1511. What is n rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 + 4*y**3 - 3*y**3 + (-8 + 3 + 6)*(-19*y**3 - 26*y**3 + 338*y**3) to q + k*y**3 + s*y**2 + g*y and give k.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -217 - 98. Let f = 475 + n. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 12 = -4*a - 12, -5*m + a = -40. Let p(w) = -289*w - 25. Let o be p(5). Is (-6)\/m + o\/(-40) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.2 - 0.2. Let t = -7 + m. What is the second smallest value in -2, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48336681 is divided by 393?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/75)\/(1296\/(-180))*6*(-5)\/10.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/297 + 3\/(-9)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*1)\/(29 - 30). Which is bigger: a or 4\/47?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -309\/4 (c) -0.1 (d) -21 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/45 (b) 0.21 (c) -1\/3 (d) 0.5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(3*2) + 4960\/(-48). Let l = m + 107. Solve 0 = 3*x - 2*d + l, 5*x - 2*d + 16 = -d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 195e + -1744?\nAnswer: 21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1*3*5\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23836.5 + 23836. Let r be 9\/(-3) - (1 + -4). Which is the second biggest value? (a) -22 (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1041*l - 10994 = 662*l - 47757 for l.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1222 and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - g**2 - 3)*(1 + 0 + 0) - 1212*g**2 + 649*g**2 + 640*g**2)*(-g + 1 + g + g).\nAnswer: 76*g**3 + 76*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0, 9, -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 11 = 5*y, q - 5*y - 3 = -3*y. Let o = 0 + 5. Let p be 30\/1*(-1 + 77\/42). Solve 5*j = a - q, o*j + 4*a + p = -a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76133?\nAnswer: 19, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by 8\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43)\/1204)\/((-1)\/14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(1\/(-3)*-3). Let b = j - -56. Let t be 1\/(-5) - b\/(-25). Sort t, 5, -2 in descending order.\nAnswer: 5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1207\/5 - 254. Calculate the common denominator of j and (-11 - (-436)\/40)\/(2\/104).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 1277512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 4*z**2 - 2*z - 15. Let i(l) = -1. Let w(g) = c(g) + 3*i(g). Let f be w(-5). Suppose f*h + 51 = 357. Solve h = -3*q + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, b: 2}. Give prob of sequence bo.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6413*g = 6452*g - 195 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/10 and -11\/479.\nAnswer: 4790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**5\/20 + 7*o**3\/6 + 21*o**2 + 201. Let y(q) = q**2. Let l(r) = -2*r**2. Let g(f) = 2*l(f) + 3*y(f). Calculate x(g(u)).\nAnswer: 3*u**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 15) in base 14?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-1 - 0 - 1). Let p = -99831\/10 - -9975. Find the common denominator of j - ((-74)\/22)\/1 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -796322*j**2\/7 - 2362464*j\/7 - 1752192\/7 = 0. Calculate j.\nAnswer: -936\/631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*p + 15. Suppose -296 = -4*a - 4*b, -334 = -4*a + p*b + 7. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(2*v**3 + 2*v - 2*v) - 307*v**2 + 307*v**2 + 22*v**3 + (2*v**2 - v + v)*(0 + v + 0) - v**3 - 6*v**3 + 4*v**3 - v**2 + v**2 - v**3.\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 144*a = 360. Solve a*x + h - 2 = 0, x = -h + 71 - 69 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17523*r**3 - r**2 - 2*r - 17172 with respect to r.\nAnswer: -52569*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27459 + 86*m - 27459 to y*m + w and give y.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5)**(-47)\/(p**(-5)*p)**29)**(5\/13) assuming p is positive.\nAnswer: p**(-595\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 2)*(0*l + l + 0*l) + 3*l + 0*l - l + 3*l - 4*l + 4*l)*((0 - l + 0)*(4*l - l - 4*l) + 3 - 2*l**2 - 3 - 4*l**2 + 2*l**2 + 13*l**2).\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -9*j + 69. Does 22 divide (132\/8)\/(6*1\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21570*r**2*t**3 + 34*r**2*t - 6*r**2 - 2158*r*t**5 + 2*r*t + 21*r + 194*t + 2 wrt t?\nAnswer: -129420*r**2*t - 43160*r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j + 24. Let d be u(-3). Suppose -v = -d*v + 250. Suppose 3*h + 51 = 6*h. Calculate the remainder when v is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - g + 188500002. Let r be b(0). Let l be 6\/(-39) - r\/(-13). Round l to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 2070705?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-4)\/8 + (0 - 3). Suppose 2*k + 3 - 7 = t. Suppose 5*p - 6*p = -k. Which is the nearest to 1\/4? (a) -2 (b) p (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 30, 45, 2.\nAnswer: 2, 7, 30, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 + 2) - (231 + -240)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = 4*t + 19*d - 32502, -5*d - 25 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 392.394 + -442.8321. Let a = x - -50.4. What is a rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*i + 8. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -5.6. What is the third biggest value in -13, -0.3, v?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 7*t**2 - 4*t + 2. What is n(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a factor of 1882397261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998211500 rounded to the nearest 1000000?\nAnswer: 1998000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 8*z**2 - z + 8. Let i be a(8). Suppose i*s = 4*s - 176. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1863 + 1863.5. What is the third smallest value in 204, -4, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p + 2*p - 6 + p. What is the lowest common multiple of g(-8) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**3\/6 - j**2 - 5*j. Let v(m) = -65 - 62 + 125. What is 2*n(u) - v(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*n = -4, 18*n + 28 = k + 21*n. Solve 12*q = -52 + k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11117092 + 23*z**2 - 5558547 - 5558545.\nAnswer: 23*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 2*j - 5*j + (-1 + 1 + j)*(1 - 3 + 1) + 3*j + 5*j - 6*j + j + j - j + (-j + 1 - 1)*(3 - 1 - 4))*(-3 + 3 - 2).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2*a + 18, 103*i = -a + 105*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + 118. Let a = b - 79. Let g = 63 - a. Is -8 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 23*y. Let z(k) = -4*k**2. Calculate z(w(a)).\nAnswer: -2116*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 4*x + 13, -72*o + 70*o + 5*x + 13 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 402, 3284, 11100, 26316, 51398, 88812, 141024, 210500?\n\"Answer: 411*u**3 + u**2 + 2*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/sqrt(2)*-1)\/(sqrt(4)*-1*-1))**2 + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m**2 - 42*m + 221. Is o(39) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 + -101 - (4 + 7 + -55 + 11).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 5*b. Let a be u(4). Is ((-191)\/(-2))\/((-2)\/a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 1:26 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -75 + -36 + 78\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68849 + -35781. Suppose -5*h + 9*h = n. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 o, and 2 g when four letters picked without replacement from {g: 2, o: 2, v: 1, d: 1, m: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1102 divided by -2\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - h**2 - 2*h - 1. Let d be (-343)\/4 - (-4)\/(-16). Let n = 87 + d. Calculate the remainder when g(-1) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3466224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 79587*w - 15 + 21.\nAnswer: -79587*w + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15286718\/19 + -804564. Find z, given that -h*z**3 + 18\/19*z + 36\/19 - 4\/19*z**2 = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 3*w + 45. Let a = w + 25. Let g be 276\/a - (-16)\/40. Solve 5*r + 4*o = -g, 0*r + 4*o = -4*r - 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*p + 25 = -3*p, 50 = 5*g - 5*p. Suppose -3*r + 0*r - 8 = 4*v, -4*v + g*r - 8 = 0. Sort v, -5, 4 in increasing order.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Suppose -2*p + 15 + c = 0. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 152*n. Let r(v) = 631544*v**2. Give r(l(h)).\nAnswer: 14591192576*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + -110101101100?\nAnswer: -110101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kzzkzkk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -299 * -0.13.\nAnswer: 38.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 5*s**2 + 12*s + 21. Let r be i(-9). What is the tens digit of ((-20)\/(1 - -3))\/((-3)\/r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (110\/6)\/((-16)\/6) and 1\/9 + 1614\/(-108).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 - 129\/15. Let z = l - -13. Solve 0*r + r = -u, -z = -r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.966 + 0.034. Let c = 6215.024 - 6180. Let v = y - c. Round v to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/b**(1\/5))))**(-37)\/((b\/b**(-2\/3))\/(b*b**(-3\/8))) assuming b is positive.\nAnswer: b**(-3677\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 256 - 249. What are the prime factors of t?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3820?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*y + 13*y - 8*y)*(-2 + 0 - 2) + y - y + 3*y in the form i*y + n and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65432, 65432, 65446, 65486, 65564?\nAnswer: 65692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -63315a (base 14) in base 9?\nAnswer: -6266260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 980 = z. What is the tens digit of (756\/z)\/((-1)\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = -4*n - 1582. Let q be n\/(-2)*(-2080)\/78. What is q rounded to the nearest one hundred?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621865884.\nAnswer: 2, 3, 487, 106411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 18 = -132*f + 135*f, -f + 45 = 5*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 340 = -14. Let g = -169 - q. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -18. Suppose 2*z + 0*z - g = 0. Which is the second smallest value? (a) -3 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/3 - (-6 + 2) - 0. Which is the second smallest value? (a) -4 (b) 0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 1. Let t be o(-9). Let a be (1 - t)*(-1)\/3. Let k(x) = 462*x + 9700. Let j be k(-21). Put a, j, 4 in descending order.\nAnswer: 4, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12*i. Let s(o) = -317959*o - 2. Give s(n(z)).\nAnswer: -3815508*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 7:48 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -13*x. Let k(b) = 9*b**2. Give t(k(y)).\nAnswer: -117*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 2, t: 1}. What is prob of sequence llb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppc when three letters picked without replacement from ccpccccccpccccccccc?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**2. Let v(g) = 3*g**2 + 6*g + 6. Let y(h) = -4*h**2 - 7*h - 7. Suppose -2*l - l = 18. Let m(s) = l*y(s) - 7*v(s). Determine i(m(f)).\nAnswer: 54*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.7836 to 1 dp.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2702 a factor of 1020053636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**4 + 14*b**4 - 2*b**2 + 4*b**2 + 4*b**4 wrt b?\nAnswer: 360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599.7796cm in micrometers?\nAnswer: 5997796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -389*p + 403*p - 28 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siissiiissiiiiiiix. Give prob of sequence isi.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1033?\nAnswer: -1033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((0 + sqrt(80) - sqrt(80))*1 + -1 + (sqrt(80) - (sqrt(80) - (sqrt(80) + 0)) - sqrt(80)))*-4*-2 + -3)**2.\nAnswer: 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**4*j))**(-18)*((j*j\/(j*(j\/j**(-14))\/j*j))\/j)\/j**(2\/5))**(3\/40))**(-24) assuming j is positive.\nAnswer: j**(-2547\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 3*d**2 - 3*d**2)*(-87*d**2 - 77*d**2 + 166*d**2 - 219*d**3).\nAnswer: 438*d**5 - 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 4*d + 4*z, -2*z - 4 = 0. Let h(p) = p. Let v be h(d). Solve -3*j - 10 = v*s, 2*s - 3*j = -j - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, g: 3, y: 6, n: 3}. Give prob of picking 3 n.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 + 102*r**3 + 121*r**3 + 8*r + 24*r**3 - r**2 - 8*r**3 to the form l*r**2 + g + t*r + b*r**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1400 at least as big as -1402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3*u - 16 = -4*b, -u - 2*b = -3. Suppose -4*d = 0, 6*w - u = w + 4*d. What is the units digit of 0 - w\/(-1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**2 + 13*n + 190. Calculate s(-7).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (95\/(-5) - -12)*8\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3113 + 1750. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -8.2. Let g = 0.027 - 5.227. Let k = t + g. Which is the third biggest value? (a) k (b) 0 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1738 - 3146 = -2*y + 3*b, 2*b + 9784 = 4*y. Let q be -15*10\/(-15) + (-3)\/1. Suppose 2*k = -q*k + y. Is 34 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-346)\/(-10) - (-8)\/20. Let m = -9 - -23. Let h be m\/l - 22\/(-20). What is the biggest value in h, 0.4, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 205897 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122852410 and 26.\nAnswer: 1597081330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-312)\/(-130))\/12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -7*z + 3*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9}. What is prob of sequence wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*n - 41 + 788, 0 = 4*t + n - 2967. What are the prime factors of t?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let z(g) be the second derivative of -7\/12*g**4 + 0*g**3 - 2 + 0*g**2 + 4*g. Calculate z(o(d)).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/8 + 0 + 9308074\/4. Suppose 455030 - y = 2*x. Let v be x\/(-18) - (-1)\/3. What is v rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5250 rounded to the nearest 100?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and 13943.217.\nAnswer: 223091.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -47. Suppose p*d + 8 = 4*d. Is 3\/d*-50 + -1 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 22*f - 17*f = 22, -2*f = -7*v - 3. Which is greater: -1\/743 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - ((3 - -1) + -2). Let y be (-4)\/(-15) - (-2)\/o. Let w be (-2)\/(-3) - 82\/(-246). Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/4 + 217*y**3\/4 - 11205*y**2\/4 - 62937*y\/4 + 36963\/2 = 0. Calculate y.\nAnswer: -6, 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*i*k**2*r + 2*i*k**2 + 2*i*k*r**2 + 19*k**2*r**2 + 4*k*r + 2*r**2 wrt r?\nAnswer: 4*i*k + 38*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211 - 121. Let p(k) = -k - 713 + 369 - k**2 + 418. Let v be p(-8). Calculate the highest common factor of b and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -68*t**5 - 7612*t**4 - 195432*t**3 + 1080688*t**2 + 4498016*t + 3229440 = 0.\nAnswer: -58, -2, -1, 120\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 15. Let v(f) = f - 8. Determine -3*j(t) + 5*v(t).\nAnswer: -t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -729*b**3 - b + 427?\nAnswer: -2187*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 35*h**4 + 30*h**3 - 535*h**2 + 870*h - 400 = 0?\nAnswer: -5, 1, 8\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 49?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -141*o**2 - o + 487. Let j(v) = 424*v**2 + v - 1458. Let c(u) = 3*j(u) + 8*t(u). What is the first derivative of c(k) wrt k?\nAnswer: 288*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525 (base 9) to base 3.\nAnswer: 120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.933 + 7960.\nAnswer: 7959.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/12 - ((-20896890)\/(-1260))\/659.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3114\/11? (a) -2\/19 (b) 1404 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -245 or -241?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 1939 = -1449. Suppose 4*k - 650 + t = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -64, 0.2, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.411 - -0.111. What is the closest to -2 in -2, o, -2\/379?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*r**3 + 7*r**3 + 32*r**2 - 2*r + 2*r**3 + 3*r**3 as j*r + o*r**3 + y + v*r**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h - 4*r + 60, -18 + 17 = -515*h + 510*h - 4*r + 55 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 14 - 15*y - 9 as o*y + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67320, 67336, 67352, 67368?\nAnswer: 67384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159 + -159.0417. Let r = u + 5.0417. Put -10, r, 0.8 in ascending order.\nAnswer: -10, 0.8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -734 less than -154978096724?\nAnswer: -154978095990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + 1*((-1 + sqrt(2448))*-2 - (sqrt(2448) - ((-1 + sqrt(2448))*-3 - sqrt(2448)))) + 1) + 2)**2.\nAnswer: -5376*sqrt(17) + 480064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 32 = 5*v + 3, 5*x - v - 19 = 0. Is x*((-530)\/(-6) - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003683 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10616, 10710, 10800, 10886, 10968, 11046?\n\"Answer: -2*b**2 + 100*b + 10518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.4, -2\/7, 1\/2, -10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**6\/120 + q**5\/30 + q**4\/24 + q**3\/6 + 5*q**2 - 4. Determine j(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-24))\/(2\/8). Let q = -2 + 3. Is s at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 267 + -271. Let z(r) = 2*r + 2. Let b(d) = -d - 4. Let n(p) = -p + 1. Let i(j) = b(j) + 2*n(j). Calculate v*z(o) - 3*i(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 554.26167s?\nAnswer: 0.006415065625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 4424a?\nAnswer: -44253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1711*g + 852*g + 850*g to f*g + i and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2106067 by 2106067.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*i**4 + 25360*i**2*j + 123*i*j - 4030*i + 1 wrt i?\nAnswer: -180*i**2 + 50720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-3)\/(-12)) + -1. Let p(d) = -d**3 + 7*d**2 - 5*d + 31. Let q be p(7). Is q >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/3 (b) -2 (c) 2114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**3 + 2*v**2 + 9*v - 17. Let c be j(2). Let q = c - -52. Solve -q*m + 2*w + 0*w = 7, 0 = -m + 4*w + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a. Let q(f) be the second derivative of -7*f + 0 + 0*f**2 + 7\/6*f**3. What is q(h(o))?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3 + 132*b**2 - 618*b + 488 = 0.\nAnswer: 1, 4, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**5\/30 - t**4\/6 + t**3\/6 + 3*t. Let f(p) be the second derivative of g(p). What is the derivative of f(w) wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*y + 73 = -143, -d + 73 = -5*y. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -32 - 18. Let l = c - 8. Solve 0 = -6*p + l*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.1 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/685*(112\/(-144))\/(91\/(-78))?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57450*c**2*t**2 - 2*c**2 - 2*c*t**2 - 503*t**2 - 84*t + 1 wrt c?\nAnswer: 114900*c*t**2 - 4*c - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4711584 + 4711586.970227. Let s = -2.97 + r. What is s rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 808303773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/32*4 - (-3)\/36. What is the smallest value in j, -16, -3, -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -192*w - 8. Let m be s(6). Let c be m\/(-104) - 2\/13. Suppose x - 47 = -c. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/5)\/6*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 176 + -274. Let t = k + 70. Let p = -28 - t. Which is the biggest value? (a) -1 (b) -2 (c) 0.4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2) - 3\/5. Let m be 404\/198 - 2 - (-16)\/88. What is the second biggest value in m, u, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - ((-55955)\/(-266))\/(-19))\/(3\/6*1)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3769?\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/((-65)\/(-20))*3\/((-3)\/(-2)). Let m(s) = -2*s + 16. What is m(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**0)**29)**(-1\/57) assuming l is positive.\nAnswer: l**(-29\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 36760.9?\nAnswer: -36760.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46811279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 3*u - 2*u)*(-13*u + 48 - 48)*(-32 - 28 + 23) as q*u**2 + h*u + j and give q.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(0*r - 2*r + 9*r**5 - 10*r**5).\nAnswer: r**5 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*k + 60*k + 192*k to the form u*k + b and give u.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 = -1. Let c be 4 + (y - 3) - 0. Solve -f + 5 = -c*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i**3 - i**2. Give v(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 339, 335, 317, 279, 215, 119, -15, -193?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.0223 - -0.0223. Let a = 0.014 + 19.986. Let p = z + a. What is the smallest value in p, 1, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6545 and 32612800.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -604 * -80.4606\nAnswer: 48598.2024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 0*z**6 - 4 + 2\/3*z**3 + 0*z**2 + 0*z**5 + 0*z + 0*z**4 + 3\/7*z**7. What is the third derivative of f(q) wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeqnmneqne.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/((-160)\/66016). Let j = 210 + p. Calculate the common denominator of j and 73\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11459479 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1269 + 1266. Let n = 46 - 185\/4. Which is the closest to 1? (a) n (b) w (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 332.14888 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9795850?\nAnswer: 2, 5, 107, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*b + 60 - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13103946\/7 bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z - 4093 + 1145 = -45*z. Calculate the remainder when 441 is divided by z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -1)\/(-2) - 180\/(-20) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.14 + 0.14. What is the second biggest value in -0.5, x, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -10*s - 113. Solve 0 = 3*d - 4*a - 15, 0 = -s*d - 4*a - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 5*s**2 - 10*s + 15. Let a be n(6). Which is bigger: a or -11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + w + 5*w)*(1 - 1 - 2*w) + w**2 - 7*w**2 + 14*w**2 - 3 + 3 + 5*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10801, 12803, 14805, 16807, 18809, 20811?\nAnswer: 22813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 8 = 4*r, -2*k + 325 = 5*r + 306 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3257 - -2197. Is c a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71717?\nAnswer: 29, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 14 - 62. Let v be (-1 - 0)*r\/12. Which is the nearest to v? (a) 5 (b) -2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.722 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 4*x + 37 + (-3 + 0 + 4)*(-1 + 1 - x) - 2*x + 0*x + x - x + 0 + 0 + 21 + 76*x - 12 - 9 as i*x + v and give i.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 5:25 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, y: 1, u: 3, k: 5, z: 5, c: 1}. Give prob of picking 1 y, 2 u, and 1 r.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g = 5*r - 65, g + 4*r = 28. Suppose 5*f - 8 = 7*f. Let b be (-2)\/(f\/(-6)*-1) - -2. What is the greatest common divisor of g and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/264*2\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 222170408 + 588549408. What is u rounded to the nearest one hundred thousand?\nAnswer: -28200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 11. Suppose 3*r - 12 = -r. Suppose -r*u = -1 + 16. What is the least common multiple of v(u) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4cc477 - -3?\nAnswer: -4cc474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17 + 15)\/(2\/56). Let k be 7\/2*(968\/a)\/(-11). Which is smaller: k or 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45223 + 60433. What is the remainder when c is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -556 (b) 2\/13 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a - 18. Let d(m) = 2*m**2 - 43*m + 17. Let c be d(21). Let u be i(c). Solve -5*w = -2*b - b - u, 2*b + 2*w - 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/7, 2\/3, -4, 0.1, 0.428085, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 21 = -2*a. Let h = a - -56. Suppose -3*k + h = -4*z + 11, -z + 4*k = -12. Solve -5*p - 4 - 6 = z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -385240*r**2 - 1897643 wrt r.\nAnswer: -770480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**1*d*d**(2\/17) assuming d is positive.\nAnswer: d**(19\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (104 - 79)) + 67\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2322 + 2318. Sort 5, r, -0.2, 9 in ascending order.\nAnswer: r, -0.2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 42 + (-43 - -1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -31*n - 36*n + 71*n. Let w(z) = -10*z. Give x(w(m)).\nAnswer: -40*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/264569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -k + 18, -4*k - 5*x = -11 - 33. What is the smallest common multiple of 4 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*w + 133*w - 32736 = 0. Let r(n) = 19*n + 7. Let b be r(5). Let j be b\/5*(12 + w). Round j to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42127.\nAnswer: 103, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**7\/2520 - i**6\/720 - i**5\/120 + 77*i**4\/12 + 2*i + 1. Let s(q) be the third derivative of c(q). What is s(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + 89 - 2*a**2 + 150*a + a**2 - 6.\nAnswer: -a**2 + 150*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9036.221 - -0.221. Let h = s - -9035.995517. What is h rounded to 4 dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 4*n + (-3 - 1 + 6)*(-4*n + 0*n + 6*n) + 28 - 28 - 2*n)*(3 + 11*n**2 - 11*n**2 - 2*n**4).\nAnswer: -10*n**5 + 15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -126. What is the lowest common multiple of 40 and d?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -362 in -0.2, 0.4, -1, 1\/29, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*f**2 + 45 - 8 - 15 - 20.\nAnswer: -183*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.3, -0.2, 0, 5, -32, 1.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642 (base 13) in base 6?\nAnswer: 23041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*m + 11*m - 9*m)*(4 + 62 + 2).\nAnswer: -2244*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -4*n**7\/15 + n**6\/12 - n**5\/60 - 7*n**4\/24 + 50*n**3 - 341*n**2. What is the second derivative of u(w) wrt w?\nAnswer: -672*w**2 + 60*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*f - 25, -4*f + 4*i = 9*i - 45. Let t = 13 - 7. Put f, 2, t, 1\/7 in increasing order.\nAnswer: 1\/7, 2, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*h + 3 = 1873. Solve -12 = -h*r + 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.784361 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, 0, 5, 10, 15?\n\"Answer: 5*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from hbajh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10325 - 20645 + c**2 - 85*c + 10320 + (0*c + 0*c - c)*(0*c - c - c) + c**2 + 0*c**2 + c**2 - 5 + 5 - 3*c**2.\nAnswer: 2*c**2 - 85*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -10 + -35 + 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -826 - 574. What is k rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Suppose -91 = -s - 2*s - n*p, 4*p = -s + 47. Let j = -13 + s. What is the smallest common multiple of j and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 17. Let z = -455 + 460. Solve -z + 10 = k*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + 2)**2 - -2*sqrt(468))*2.\nAnswer: 112*sqrt(13) + 3154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 4:47 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*2*4*2)**2 + (sqrt(25) - (sqrt(3600) - (sqrt(3600) - sqrt(3600)*2)))\/(sqrt(45)\/(sqrt(9)*2) - sqrt(5)).\nAnswer: 46*sqrt(5) + 81920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.85.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 283 (b) 10 (c) 2\/11 (d) 19 (e) 3 (f) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v**2 + 105*v - 9. What is j(-15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2602.328 and 109.529.\nAnswer: -2492.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, -9\/548, 3, -4, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3799, 0.2, -8, 0?\nAnswer: -2\/3799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 21 + 16, 0 = -5*r - 2*a - 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.37 and -0.5662.\nAnswer: -0.209494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 3947193?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 826928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/8)\/r)\/r*r)\/r*r*r*r*r*r**9*r*(r*r**(-1))**(-32)*(r**(1\/13)\/(r\/r**(-8\/3)))**34 assuming r is positive.\nAnswer: r**(-34375\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 5*n**2 - 5*n + 8. Let g be t(-6). Suppose g + 1 = u. Suppose -384 = -7*x + u*x. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 4*o + 24 = 0. Suppose 5*x = 3*q - 21, o + 22 = 4*q + 3*x. Suppose -6*s = -q*s + 3. Solve -6*v = -5*v + s*b - 16, 5*v = -b + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160821, 321643, 482465?\nAnswer: 643287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - ded1?\nAnswer: -dece","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 75108100 to the nearest 1000000.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -870, -890, -932, -1002, -1106, -1250, -1440?\n\"Answer: -k**3 - 5*k**2 + 2*k - 866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233026 by -1714.\nAnswer: -116513\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.12740807 rounded to two dps?\nAnswer: -2.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/2 - 1605*n + 3207\/2.\nAnswer: 3*(n - 1069)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1995 divided by 1\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000101001010101101 + -111?\nAnswer: 10000101001010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v - 9776 = -574*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6804 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2795)\/(-910))\/(90\/70)*6.\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 109123 divided by -15589?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 18, 0, 1, 4\/3 in ascending order.\nAnswer: 0, 1, 4\/3, 14, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**2 - 1633*i - 16929. Give u(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/(-6) - (-4)\/6. Let v = 3 - 1. Let g(p) = -2*p**2 - p - 2*p**2 + 3*p**2 - p**v + 2. Give g(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = f. Let q(y) = -1 + y + 6 + 0*y. Calculate q(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -7, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 21\/2 (b) 0 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 14) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 75?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyccxcphyxx. Give prob of picking 1 y, 1 c, and 1 x.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2. Let h = -5 - -5.2. Which is the third biggest value? (a) -8 (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 - 10*d**2 - 10*d**2 + 10*d + 33*d**2.\nAnswer: 2*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5045910 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*d - 1. Suppose 3*o + 5*n - 810 = 3*n, -n = 4*o - 1075. Let l = -261 + o. Solve 0 = -5*y + d - l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 e when four letters picked without replacement from {e: 8, a: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 18 = 3*g. Let o(n) be the first derivative of n**2 - 2*n - 8. Let q(t) = -4 + 5*t - t - 1. What is g*o(f) - 2*q(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13934*i - 30*i**2 - 13934*i)*(-14 + 4*i + 14 + 2*i**2) to s*i**4 + h*i + w*i**3 + j*i**2 + z and give s.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 0 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 46*c + 26*c + 3050 = 0, -l + 4*c + 594 = 0. Solve 601*g - 6 = l*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 956 + -1003 - (-3 + 1).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -0.9, 1, 1\/11, -152\/9, -5, -6\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and 0.38.\nAnswer: 0.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + k**2 + 4*k**2 + 211 - 234 + k**2 to the form d + t*k + u*k**2 and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 17. Calculate p(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 22*o**2 - 25*o - 16. Let m be i(-23). Solve 2*y - 5*q = 7*y + m, -3*y - 4*q = 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -4, -11, 7, 5, -2 in descending order.\nAnswer: 7, 5, -2, -4, -11, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334423221 (base 5) to base 16.\nAnswer: 16a0b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuuuuuuutuuuvtu. Give prob of picking 1 t and 3 u.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47710, 56711, 65712, 74713?\nAnswer: 83714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -9 (b) -6\/5 (c) 10\/9 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 370*h + 549. Let v(x) = -123*x - 175. Determine -6*d(t) - 19*v(t).\nAnswer: 117*t + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8283 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 838308520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u)**35*((u*u\/u**(-4\/7))\/u)\/(u*u**6*u) assuming u is positive.\nAnswer: u**(-290\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 68309088 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*h - 2*h - 4*a - 22, -10 = 2*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 236780503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/3 - 4*p**4\/3 + 16*p**3\/3 = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52661, 52663, 52665, 52667?\nAnswer: 52669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/((p*p\/p**14)\/p)*p*p**(-12)*(p*p**(-6))**(-36) assuming p is positive.\nAnswer: p**184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**3 + 5*a**2 + 2*a + 3. Is n(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 23. Let j be y(16). Let r = j + -21. Suppose -2*b + 2*p - r = 0, 5*p - 26 = -11. Let k(f) = -f**2 - 6*f - 5. Calculate k(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*1 - (2 + sqrt(99)))**2.\nAnswer: -16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20123\/4 + 5024. Which is greater: p or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3*c = 75. Suppose -3*g - c = -8*g. Suppose -g*y - 794 = -10294. What is y rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -7, 1, -4, 20 in descending order.\nAnswer: 20, 1, -4, -7, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 584 a factor of 56794000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -20. Let u(p) = p**2 - 19*p + 66. Let n be -3 + 2 - (-22 + 6). Calculate the lowest common multiple of g and u(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3233525 + -2?\nAnswer: -3233531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 3*g - 2*g**2 + g - g**2 - 2 + 2 + 2 - g**2 - 2 - g**2 + 2*g**2 + g**2 + (2*g + g - g)*(0*g - 2*g + 0*g) + 0*g**2 - 4*g**2 + 2*g**2 - 2*g**2 + 3 - 3.\nAnswer: -10*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100110011010 (base 2) to base 11.\nAnswer: 8002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063250931 plus -208.81?\nAnswer: -208.746749069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 27 - 15*p)*(2 + 2*p - 2) + (7 + 1 - 1)*(23*p + 9*p**2 - 23*p).\nAnswer: 33*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100.4 + -98.4. Which is the closest to q? (a) 5 (b) -5 (c) 0.4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/43 + 145\/344. Suppose -4*q = -28 + 4. Let v be ((-10)\/(-4))\/((-2 + q)\/8). Sort 1, w, v, 0 in increasing order.\nAnswer: 0, w, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29504065 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqq when three letters picked without replacement from {q: 7, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.81 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1351*s - 1312*s - 4602 = 0. What is the remainder when 157 is divided by s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 27 = 18*g - 13*g, -2*g - 6 = a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 2*n**3\/3 - n**2\/2 + 7*n + 12. Let l(q) = -2*q + 3 + q + 427*q**2 - 424*q**2 + 7. Calculate -5*l(p) + 7*r(p).\nAnswer: -p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 894 - 412. What are the prime factors of y?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 + 71*n - 544. What is the remainder when 3595 is divided by a(6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23286 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/((-58240)\/6300)*10\/9.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + sqrt(1300) + (sqrt(1300) - sqrt(1300)*1) + 1 + -3 + -1 + sqrt(1300) + 3 + -2)**2.\nAnswer: -160*sqrt(13) + 5216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -113211 (base 4) to base 5\nAnswer: -22014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 17*d - 212. Is o(-56) a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 5 + -4 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 0*s**2 + 3*s - 7*s + 17 - 6. Let y be r(-6). Sort y, -3, -5, -4 in decreasing order.\nAnswer: y, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -825*u + 16 - 46 + 33 - 372*u to the form v + p*u and give p.\nAnswer: -1197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/240 + 5*m**4\/6 + 200*m**3\/3 + 3*m**2 - 21. Factor d(o).\nAnswer: (o + 40)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2713 * -0.0083\nAnswer: -0.00225179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 318 = -58. What are the prime factors of x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 2. Let c be u(5). Suppose 7*m - 136 = c*m. What is the remainder when m is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 1, u: 9}. What is prob of picking 1 z and 1 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Let i(z) = 7*z - 2. Let a(l) = -20*l + 6. Determine b*a(k) + 11*i(k).\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -18 + 2 + -6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*h = 6*h - h, 5*k - 3 = 13*k + h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 19}. Give prob of picking 1 i and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-84) + 10354\/840 + -1. Let v = n + -117\/20. Calculate the common denominator of (-1 + 0)*14\/(-8) and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**(1\/2)\/a)\/a))**(-1\/46)*a**(2\/3)\/(a*a\/a**4))\/((a*a*a**1)**(1\/5))**(-2\/3) assuming a is positive.\nAnswer: a**(4157\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2144 and 229408?\nAnswer: 229408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109 + 103 - 2*q**3 - 20*q**3 to x*q**2 + t*q + v*q**3 + g and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f. Let m(t) = -3*t - 4. Let a(h) = 15*h + 21. Let y(w) = 4*a(w) + 21*m(w). What is z(y(g))?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 2*f + 5. Determine i(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2010 and 26441215?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 136336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**6\/120 + m**5\/15 + 5*m**4\/24 + 7*m**3\/6 - 35*m**2. Suppose -3*p - 13 = 5. Let a = -1 - p. Determine n(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a3 + 3?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**3 - 114*f**2 + 492*f - 504 = 0.\nAnswer: -42, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3928731, -3928717, -3928703?\nAnswer: -3928689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 5:39 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 1. Let n be m(0). What is the second biggest value in -3\/5, n, 0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Let g(w) = 1 - 2 + 0*w**2 + r - w**2 - 8*w. What is the units digit of g(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 35 = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 57 + 16 - 31. Let n be r(0). Let v be 2\/3*n\/(-3). Solve -5*t - v = -6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -80, -161, -244, -329, -416?\n\"Answer: -k**2 - 78*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42.4 + 42.498. Let y = k - -0.002. Let q = 7 - 6.6. What is the nearest to y in q, -0.15, -0.3?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -0, -a + 97 = 4*r. Let p = 184 - a. Are 92 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxxuxxuxuxuu. Give prob of picking 4 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c - 2. Calculate v(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11964279, -11964239, -11964199, -11964159?\nAnswer: -11964119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -14. Let r = s - 0. Which is the closest to r? (a) -2\/17 (b) -2\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 51.715937 days?\nAnswer: 7.387991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64687*u**2 + 32339*u**2 + 32344*u**2 - 51 + (-2 + 3 - 2)*(-2*u**2 + 2*u**2 + u**2).\nAnswer: -5*u**2 - 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -169*a**4\/24 - 71*a**3\/6 + 3*a**2 - 12*a. Find the first derivative of k(j) wrt j.\nAnswer: -169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1216) - (sqrt(1216) + -1)) - (-1 + -2*sqrt(1216)))**2.\nAnswer: -96*sqrt(19) + 4873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - n + 2*n + n + n - 5*n + 0*n + n - 2*n + (2 - 5 + 4)*(-2*n + n - n) - 2*n - 2*n + 3*n)*(n - 2*n - 3*n)*(0 - 1 + 4).\nAnswer: 132*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 16. Let g = -23.9 + l. Let o = 6 - 13. Is g > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/14558 - 14249\/1499474. Which is the closest to 2\/15? (a) m (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12864\/(-40)*(-105)\/14?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 + -1)*(15\/6 - 2). Calculate the highest common factor of 21 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 t when four letters picked without replacement from tcbcc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnucupwd. Give prob of sequence cuwu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 12:12 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.675 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, -5, -1, 21.\nAnswer: -11, -5, -1, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -978*z = 3993 - 20619 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-98)\/2*(3 - 4). Suppose -25 = 5*l, 4*l = 4*q - l - f. Let v be q\/9 - 3\/(-9). Solve 5*x + 4 + v = -3*w, 3*x + 3 = 3*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 7 - 18 + 200*c in the form t + u*c and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/6*1)\/((-182)\/9282). Suppose -o*n + 4383 = -8*n. List the prime factors of n.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6270, -6169, -6024, -5835, -5602, -5325, -5004?\nAnswer: -4639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 5. Suppose -9 - a = -s. Let i(w) = w**3 - 4*w**2 + 2*w + 7. Let n be i(6). What is the greatest common divisor of s and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*z + 58*z = 0. Suppose -7*t + 2*t + 70 = z. Solve -4*n = -3*d + 2*d - t, -4*n + 20 = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**3 + 3*o**2 - 9*o - 3. Let b(v) = v**2 + v + 1. Let l(n) = 4*b(n) + m(n). Factor l(a).\nAnswer: -(a - 1)**2*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 3*t - 103 + 97, 5*j = -4*t - 37 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182213 is divided by 91068.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*y + 178, 4*y = 4*s + 31 + 89. Let n = s - -30. Which is the closest to 1? (a) 2\/17 (b) -3\/8 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 156, 313, 466, 615, 760, 901, 1038?\n\"Answer: -2*w**2 + 163*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/7? (a) -0.6 (b) 0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*n - 4*n + 53*n - 167*n - 15288 = 0 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 136360556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = 2*d. What is the lowest common multiple of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1252333.09 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + h + 5 = 0, -3*h - 3*h + 37 = -3*i + h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-80384.\nAnswer: 16076.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 2065.5?\nAnswer: 10327.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(45)) + ((sqrt(55) - sqrt(220)\/sqrt(4))\/sqrt(11) - sqrt(5)) + sqrt(180)\/sqrt(4).\nAnswer: -9 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 1. Let q be r(2). Let z be (-1)\/(q\/(-4) + 0). Suppose a = -a + z. Calculate the remainder when a is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81\/(-216) + (-34881)\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 658 and 423?\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5632519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 + 378 + (2 - (3 + -7)) is divided by 128.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25013.52 - -5\nAnswer: 25018.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 66617.2 and -0.23.\nAnswer: 66616.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 809.\nAnswer: 3236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.22 + 2.7. Let o = n + 29.52. Let a = 29.92 - o. Round a to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -286 - -484. Let l = -183 + d. Solve -11*h + 8 = -l*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 3:35 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44.94 * -201.5.\nAnswer: -9055.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3038)\/(-280) - -8 - 16)*4)\/(3\/15).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -28*i**3 - 1905*i**2 - 72*i - 144. Determine t(-68).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/11 (b) 35809893 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/(-8)*3\/30. Is 1 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -212, -201, 1 in decreasing order.\nAnswer: 1, -201, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 11122?\nAnswer: 11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 611073515 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.739751 and -0.02.\nAnswer: -0.01479502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*n - 4*n = 2*n - 67, 12*n - 804 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-3))\/((-8)\/18). Solve -d - p*g + 5 = d, 3*d + 18 = 4*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -62. Solve -4*q + 2*s - 22 = 0, -q - 29 = 4*q - b*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, m: 4, a: 1}. What is prob of sequence ma?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/5 - 207*i\/5.\nAnswer: -3*i*(i + 69)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -6, 3, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-7) - (-25)\/(-210))\/(13\/(-52)). Which is the nearest to 0? (a) -4 (b) 0 (c) p (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzz when three letters picked without replacement from qfzbfqfqllqzzqzqqf.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 7*q**2 - 39 - 38.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 20, -0.5, 2\/13, 8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650*y - 651*y = -1304*y + 4*r - 280, 0 = -y - 19*r + 1330 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 62 = -2*r - 56, -5*c - 85 = -19*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.088 times 15\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by -2444211\nAnswer: 16\/349173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 123905963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3050495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.4 + -31.399583. What is t rounded to 5 dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 655 = 9*u. Let h = 6 + -33. Let w = h + u. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 4. Suppose -5*x - 5*j + 35 = 0, v*x - 3*x - j = 13. Suppose -p = -5*p - x. Which is bigger: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/55 - 27\/33. Let z(f) = f**2 + 12*f + 11. Let a be z(-11). Is a at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 6:04 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x. Let a be w(1). Let i(o) = 3*o - 3. Let j be i(a). What is the second derivative of -3*p**2 - 4*p + 2*p**2 - 6*p + j*p wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75786631 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 140 = 85. Does 25 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (22 - 2 - 61)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 245 = -164*p + 159*p, 5*p = 3*h + 250. Put p, -2, 4, 1, -1 in descending order.\nAnswer: p, 4, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 169 = i, -4*z + i + 135 = -0*i. Suppose w + 21 = d, -d - 2*w + z = d. What is the remainder when d is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196188905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6 + 7 + 3*x - 6*x. Let i be j(-2). Suppose -i*u + 10*u - 9 = 0. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by (-153)\/(-9) - (-2 + -4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4*y = -22, d - 4 = -753*y + 750*y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -0.9. Let v = -8.6 + 89.6. Let s = v - 86. Sort 0.3, y, s in descending order.\nAnswer: 0.3, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**6\/z**13)**(-11))**(1\/12) assuming z is positive.\nAnswer: z**(77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = 0. Suppose 5 = -b + 3. Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2. Let g(f) be the third derivative of -313*f**5\/60 - 221*f**2. Determine g(x(j)).\nAnswer: -1252*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.70067917 rounded to 3 decimal places?\nAnswer: 0.701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 652 = -824. Suppose 2*h + 2*h + 2936 = 0. Let l = x - h. Round l to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from ybdgdggyndxdyg.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*h - 2131*h - 577*h + 1053*h.\nAnswer: -2018*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 4 (c) -4 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -742849 and 9.8?\nAnswer: 742858.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014149 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from {o: 1, i: 2, z: 1, q: 3, k: 4, w: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-28)*(k*(k*k**3)\/k)\/k assuming k is positive.\nAnswer: k**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 1:11 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**6\/420 - l**5\/105 - l**4\/21 + 8*l**3\/21 + 30*l**2. Factor p(h).\nAnswer: 2*(h - 2)**2*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28907742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14\/3*d - 1\/3*d**2 - 49\/3 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91625 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, d: 1, i: 2, y: 1, g: 1}. What is prob of sequence yf?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1057, -1012, -953, -874, -769?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1974854.\nAnswer: 5\/1974854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75945.\nAnswer: 3, 5, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2 + (-181108)\/(-9) - (-6)\/(-864)*16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*i - 17 + 17)*(i + 0*i + 1 + 2*i)*(-1 + 1 + i) in the form q*i**3 + u + t*i + b*i**2 and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g - 4*r - 2, 5*r + 18 = 2*g. Suppose -3*o + o + 16 = g*f, 4*o - 4*f = -28. Put 13, 5, o in ascending order.\nAnswer: o, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9530190 and 5082768.\nAnswer: 76241520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383881 is divided by 95818.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 + 5*h + 540004. Let f(d) = -2*d**2 + 4*d + 540003. Let o(v) = 4*f(v) - 3*k(v). Let y be o(0). Round y to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 42*w + 40)*(-2*w**3 + 0*w**3 + w**3).\nAnswer: 42*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -9. Suppose 0 = h*a - 4*a - 38. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -1\/15*t**5 - 40 + 0*t**3 + 1\/4*t**4 + 0*t - 2\/3*t**2. What is i in k(i) = 0?\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 817716098?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752103588?\nAnswer: 2, 3, 23, 37, 47, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 21*n**2 - 95*n - 122. Determine i(25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 4*n + 2. Let g be v(-4). Suppose -38 = -4*j + g. Calculate the lowest common multiple of j and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.013 - -0.387. Let m(w) = w**2 + 9*w + 5. Let t be m(-7). What is the third smallest value in 2\/21, s, -0.2, t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 2958*v + 125345.\nAnswer: (v - 2915)*(v - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 58.7 and 3.\nAnswer: 61.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/77, 0.11, 10, -0.196 in descending order.\nAnswer: 10, 0.11, -2\/77, -0.196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111011110 (base 2) to base 15.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1962 + -74ab?\nAnswer: -9251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (32 - 40 - (0 - 23))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q + 27945 = 40*q. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/4, -978327, -0.2, 1\/2, 10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-20)*(-20)\/(-6). Let w(m) = -10*m**3 - 30*m**2 - 65*m - 40. Let h(u) = -11*u**3 - 30*u**2 - 66*u - 40. Let b(q) = v*w(q) - 5*h(q). Factor b(z).\nAnswer: -5*(z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.2 (b) 1.6 (c) -2\/49 (d) -2\/9 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3 = -f, -f - 4 = -4*f + 2*x. Suppose -3*u = -f*y + 6004, 0*u = -2*u - 3*y - 3994. Round u to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -103) + -80 + (-37 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((15\/3 + -3)\/2). Suppose -2*r + 0 + 10 = 0. Solve 0 = 2*z + 3*s, r*z - 2*s - 2*s = y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1791 + 2789. What are the prime factors of g?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13309*o**5 - 173*o**3 + 8129453*o wrt o?\nAnswer: 266180*o**3 - 1038*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/669 + -1373\/3345. Let q = -11 + 6. Sort 2\/7, q, -6, r.\nAnswer: -6, q, r, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 90.7255 weeks?\nAnswer: 15241.884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155\/1007 + -60331\/151050. What is the common denominator of -63\/10 and w?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*o - 67*o - 280 = 0. Solve q = 4*a + 17, 0 = -2*a - q + 55 - o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 31. Suppose -7*j = -2*j + i. Let f = 14 + j. Calculate the remainder when 19 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 229 - 87. Suppose 5*p + 74 = 74. Suppose p = -5*u + 88 + r. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16037446879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 6*w + 13. What is y(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 14) in base 9?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h + 6*h + 4*h + 0*h to the form f + c*h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -3*v**2 - 2*v - 1097. Let k be (-26)\/(-8) + 2\/(-8). What is q(k)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 6*g**2 + 2*g + 7. Let x be k(7). Let q be 8\/x + 30\/7. Suppose q = l + 1. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjqqqqqpjpj. Give prob of picking 1 q and 1 j.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1238.4 + -1238. What is the nearest to -2\/7 in h, 5, 13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let o = 43 - 28. Let z = -15.2 + o. Which is the biggest value? (a) n (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 184, 783, 1834, 3373, 5436, 8059?\n\"Answer: 6*s**3 + 190*s**2 - 13*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231882 is divided by 15439?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 760.4208m?\nAnswer: 0.7604208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (1 - 25)\/(-3). Let b(k) be the first derivative of 10 + k**2 - i + 0*k**2 - k**4. What is the second derivative of b(s) wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17910.2 - 1.3\nAnswer: -17911.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*d - 6 = 0, -2*d - d = 2*g - 1. What are the prime factors of 1 - g - (-3 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 5*l**4\/2 + 20*l**3\/3 - 9. Find the third derivative of t(s) wrt s.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1044*d**3 + 1768*d**3 + 2943*d**3)*(0 + d + 0) in the form j + m*d**4 + p*d**3 + z*d**2 + f*d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110000010101011111000 (base 2) to base 6.\nAnswer: 323502440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3\/2 - 117\/(-18) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94\/1181141 + 2379102953\/155910612. Let d be (-425)\/429 + (-1)\/(-1). Let f = d - n. Calculate the common denominator of f and 16\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 12 + 2*t - 6*t + 13 + 0*t. Let f be q(5). Solve -5*l - f = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3 - 4. Let q be n*-9 + (0 - 0). Let r be (1 - (-12)\/q)*-15. Solve 2*f + 14 = 7*k - 3*k, f + r*k - 21 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -558933*v**2 - 53*v - 1 + 1 + 558937*v**2 to c*v + q*v**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, v: 5, p: 2, o: 3}. Give prob of picking 1 v, 1 x, and 1 p.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 + (443 - (-7 + 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 13*q**2 - 2*q + 14. What is s(12)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -26*h**3\/3 - h**2 + 11. Find the second derivative of p(i) wrt i.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 969 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -486 + 720. Suppose 4*t - 22 = v. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 8*m - 4. Let u be x(9). Suppose n + p = 0, 3*n = -n + p - 20. Which is smaller: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1014*m. Let c(q) = -74*q**2. Determine c(f(p)).\nAnswer: -76086504*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 15*l - 88*l - 89*l - 64*l.\nAnswer: -260*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146 - 163 + 2*w + 292 to u*w + n and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k - 2. Let u be k\/(-3) - (-9)\/(-189). Let u*p**3 + 0*p + 0 - 2\/7*p**2 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86784 - -86784. Find t, given that 16\/13*t**2 - 32\/13*t - 2\/13*t**3 + k = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669251511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert b513 (base 16) to base 7.\nAnswer: 252101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {z: 2, k: 10}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-20 - (10 - 20))) + -1 + 18?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5892, -11790, -17688, -23586, -29484?\n\"Answer: -5898*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t. Suppose 2*f + 6 = t, i + 3*f + 25 = -8. List the prime factors of (-75)\/(-6)*i\/(-20).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/p**(2\/7))\/p))\/p*p*p**(-18) assuming p is positive.\nAnswer: p**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**3 - h + 2. Let z be r(-2). Let m = 74 - z. What is the least common multiple of 4 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vebbvvbvvbbvvvbevvv. Give prob of picking 1 v, 1 e, and 2 b.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 18*c - 6. Let f be k(7). Suppose 2*h = 4*h + y - f, h - 4*y = 78. What is the tens digit of (-3)\/(-2)*h\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33783340.\nAnswer: 2, 5, 1689167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3.9 (b) 32 (c) -1\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 5*o**2 - 5*o. Let u be (-12)\/5 + 4\/10. Let a be h(u). Suppose n - a = 10. Solve n = 4*i - 0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1570392?\nAnswer: 2, 3, 17, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(891) - sqrt(891)*1) + -4)*-6 + 3 - (-1 + sqrt(891)*2 - (-3 + sqrt(891)*1)))**2*5.\nAnswer: -2250*sqrt(11) + 7580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 5*r**2 + 3*r + 1. Let c be n(-5). Let k be (0 - 8\/c)\/2. Let s be 3\/6*6\/(-5). What is the second smallest value in 0.4, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 29 - 3)*(0*l**2 + l**2 + 0*l**2) + 0*l + 0*l - l**2 to j + c*l**2 + v*l and give c.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - ((-24)\/30 + (-9)\/(-5)). What is the smallest value in -0.5, u, -0.01, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0224 + 0.02237151. What is p rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.37 + 11.63. Let o = -13 + u. Suppose 0 = 40*h - 38*h + 22. Which is bigger: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.565877 decades to centuries.\nAnswer: 0.6565877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/5122 + -30895\/834886. Is 1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15766 and 18.\nAnswer: 141894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a**2 - 678*a + 3558. Determine b(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -21 (c) 2\/7 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/5 + 72*v**3\/5 - 318*v**2\/5 + 248*v\/5 = 0. Calculate v.\nAnswer: 0, 1, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 - 132*8\/108. Let t(s) = -304*s + 39. Is t(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 24*s**2 + 16*s - 5. Is m(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onooonfpncuu. What is prob of sequence cfo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 83*k - 2. Let n(w) = w**3 - 84*w + 3. Give -3*a(y) - 2*n(y).\nAnswer: y**3 - 81*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249445.35 months to years.\nAnswer: 20787.1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 o when three letters picked without replacement from {r: 4, o: 3, q: 2, j: 9}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 - -93. Suppose -d*i + 128 = -4*y, 0 = -4*i - 3*y - 40 + 140. Calculate the greatest common divisor of i and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24288?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)\/sqrt(8))\/sqrt(2) + (sqrt(152)\/sqrt(8) + 1 - sqrt(19)).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -827603 divided by -1.\nAnswer: 827603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 832501*n**2 - 11*n + 18. Let f be r(2). What is f rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -13. Suppose i = -9*r + 22. Suppose -r*t + 4*t = 0. Solve t = -3*h - 2*m - 6, -h - 2*m + 6 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 - 2. Let o(b) = -7*b**2 - b + 4. Let d(z) = 9*i(z) + 4*o(z). Let u be d(-2). Let v(a) = -2*a**3 - 2*a + 3. Give v(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -11. Solve -4*a + 20 = 0, 17 = -5*s + 6*s + l*a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -37 (c) 9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/3 (b) 0.5 (c) -3\/4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/3 + 24*o.\nAnswer: -4*o*(o - 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*m - 28 + 12*m + 19*m wrt m.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.3, -2\/7, -38295, 4.\nAnswer: -38295, -6, -2\/7, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 4*f**2 - 2*f + 6. Let v be o(4). Is 28 a factor of v\/(-10) - 1595\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*f**6*f*f**(1\/3)*f**(-5\/3)*(f**(1\/3)\/f**(-2\/17))**(1\/2) assuming f is positive.\nAnswer: f**(193\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2 = 8*n. Which is bigger: 4\/45 or n?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -362 or -1.25?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 3305 and 3304 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.128 in 0.5, 4, -12852\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7884\/6570)\/((3\/(-45)*3)\/1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1136251498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 - 29*h**2 + 17*h**2 - 6*h**3.\nAnswer: -6*h**3 - 23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1195 + 1194.9982415. What is y rounded to five decimal places?\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t - 6. Let o(d) = 7*d + 6. Let n(v) = 3*l(v) + 4*o(v). Let m(u) = 5*u. Let j be m(1). Give n(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d - 2. Let h be (d\/(-2))\/(8\/(-32)). Calculate the greatest common factor of 4 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.959 - 0.041. Let k = j - -22.08. Which is the third smallest value? (a) 2\/7 (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 1. Let q(s) = 28738 + 12*s + 5*s + 14*s - 28735 + s. Determine 5*n(v) + q(v).\nAnswer: 27*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47588?\nAnswer: 2, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, -4, 108, -2\/15, 1 in descending order.\nAnswer: 152, 108, 1, -2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466626?\nAnswer: 2, 3, 83, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 62)\/((-1)\/2). Suppose -2*d + 157 + h = 5*y, 5*y + 5*d = 270. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6985\/8 + -868. What is the common denominator of -13\/4 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -464*w**2 + 27?\nAnswer: -928*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/49 - -53\/98. Which is the second smallest value? (a) v (b) -1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3109 - -21702\/7. Let s = 58\/7 + m. Which is the closest to -1? (a) 2 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 26*k**2 - 17*k - 278. Give d(27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 35. Let n = 3 - b. Suppose -p + 3 = -n. Solve -4*a + 17 = -p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 360 + -357. Let s be 28\/6 - 1\/(-3). Solve 6*o - s = 2*w + z*o, -30 = -3*w - 3*o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262843616.\nAnswer: 2, 7, 97, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48620099 is divided by 24310028.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*r = 18, -31 = -3*i - 16*r + 11*r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 e, and 1 s when three letters picked without replacement from {s: 1, w: 4, e: 1, m: 3, b: 8}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.60643 grams in tonnes?\nAnswer: 0.00007160643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 518211.8 millennia in years?\nAnswer: 518211800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = -10 + 31 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.8817 rounded to one decimal place?\nAnswer: 66.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 5*q**3 + 6*q**3 - 4*q + 3*q**4 - 3*q**2 + 2 as p*q**2 + g*q + w + d*q**4 + c*q**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9b + 0?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -989.1 to the nearest 10.\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6247, -12476, -18677, -24844, -30971?\nAnswer: -37052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -52 (b) -1 (c) 4\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*q - 3*l, 2 - 6 = -q + 5*l. Let k be 1\/(q\/(-63)*1). What is the greatest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**4\/12 + n**3\/2 + 2*n**2 - 186*n. Let y be g(-1). Which is the nearest to -2\/7? (a) -1\/4 (b) y (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -5*v**3\/3 - 9*v**2\/2 + 8*v + 1404. Calculate d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469654 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8695 + 13123. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12418892 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/20*-5 - -16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 5*c + 1. Let w(f) = -f**3 - 9*f**2 + 2*f + 14. Let j be w(-9). Let s be h(j). Solve -s = -4*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289078 divided by -13.\nAnswer: 289078\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 76?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1676042082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -390 - -382. Let t(c) = 8*c - 43. Let a(n) = 11*n - 64. Let d(i) = -5*a(i) + 7*t(i). Determine d(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4.6+-34040.9\nAnswer: -34036.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-92)\/115 + 168\/10. What is the highest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 4. Suppose 0 = -3*h + 2*q + 60 - 9, q - 57 = -4*h. Suppose -2*x - a = 16, -2*x - 4*a = -x + h. What is the units digit of p(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 54389?\nAnswer: 5438b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14 - (-231)\/49\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**4*z**2 - 32*b**3*z**2 - 18*z**2 - 1 wrt b.\nAnswer: -12*b**3*z**2 - 96*b**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1 - 6 - 2*k**2 + 1 + 2*k. Suppose 4*c - c + 9 = -3*l, 3*c - 16 = 2*l. Let t(h) = -5*h + 12 - 3 + 2*h**2 + 2*h**2. Determine l*p(b) - 2*t(b).\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/168*119\/85?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -544422 by 5.\nAnswer: -544422\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i. Suppose -2*a - 7 + 1 = -2*w, 2*w + 3*a + 14 = 0. Let m(v) = v + 2. Let t(c) = 3*c + 5. Let y(d) = 5*m(d) - 2*t(d). What is w*z(k) + 5*y(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {c: 3, i: 6, w: 1, n: 1, j: 1, k: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -360 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + t + 26. Let k(c) = -c**2 + 13*c + 7. What is the remainder when m(0) is divided by k(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = -12. Suppose -4*n + n - t = 0. Let k = -0.1 + 0.5. Which is the nearest to -2? (a) k (b) 1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 277 + -198. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b + 2*k = 12868, k = -3*b + 9651. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1835903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -31*z**9\/168 + 209*z**5\/60 - 105*z**2. What is the third derivative of j(v) wrt v?\nAnswer: -11160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 16 = 5*x, -35*i + x = -19*i - 30 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(((-147)\/6)\/7). Let s(k) = 5*k + 11. Let b be s(-9). Let m be 21\/b + (-3)\/(-6). What is the third smallest value in i, m, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((f - 4*f + 4*f)*(-4 - 1 + 4) + f + f + f)*(-2 + 2 - 1) in the form p*f + x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.3 - -17. What is the nearest to 0 in 0.2, 2\/13, w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.021 or 67\/181?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -258*y - 17. Let r be z(3). Let w = 793 + r. Solve 0*s + s = -a - 6, a - 3*s - w = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 3*l. Let s be z(-3). Suppose 2*i - t + 24311 = 6507, s = 2*t - 8. What is i rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/164156 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3005684 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/2)\/(6\/(-224)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/8)*r\/(r\/((r\/((r\/(r\/((r**(1\/3)*r)\/r*r)))\/r*r))\/r))*(r*r**(-2\/5)\/r)**(-32)*(r\/r**(-1\/4)*r)**46\/(r**3*r**(-1)) assuming r is positive.\nAnswer: r**(13511\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 9) in base 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a - 31*h + 36*h + 18, 2*a = -5*h + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 268, 3, 0 in increasing order.\nAnswer: 0, 3, 15, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51150 and 5790.\nAnswer: 9871950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25038 and 114062?\nAnswer: 1026558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-46)*(-198)\/(-18)*(112\/77)\/(-8).\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 74*q**3 + q**2 + 4*q + 3. Let r be f(-1). Which is smaller: -0.2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -7. Let g = -602581\/2105 - -26\/421. Let d = g - -286. What is the closest to -2\/5 in 0.1, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 125361555\nAnswer: -1\/41787185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**2*s**4 + 1596*q**2*s**3 + 1276*q**2*s**2 + q**2*s wrt s.\nAnswer: -48*q**2*s + 9576*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 1. Let g(h) = 3*h**2 - 3*h + 2. Let q(f) = g(f) + 2*n(f). Let s(y) = 9*y**2 - 4*y + 1. Give -7*q(z) + 2*s(z).\nAnswer: -3*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-6)\/a))\/(a\/a**(-1\/3)*a)*a*a*a**5*a*a*a*a*a**(5\/6))\/((a**(2\/3)\/a**8)\/((a**(-1\/3)\/a)\/a**1)) assuming a is positive.\nAnswer: a**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*x - 56, c - 2*c = -5*x - 2. Let r be 8 + c\/(4*-1). Let n = 10 + -4. Is n >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*a - 2\/7*a**2 + 0.\nAnswer: -2*a*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 2*o**2 - 3*o + (-5*o + 3*o + 3*o)*(0*o + 3*o - 4*o) + 0*o**2 - 3*o**2 + 0*o**2)*(-18 - 114 - 7525*o + 7511*o) + 3*o**3 + 3*o**3 - 4*o**3.\nAnswer: 30*o**3 + 264*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (22 + -25 - (4 - 0)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = -19*m + 214. Suppose -4*w = 4*p - m, -4*w - w = 2*p - 8. What is the remainder when 152 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8722*j**2 + 104*j - 104*j + 12068*j**2.\nAnswer: 20790*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(4\/5))\/(v*v*((v*v\/(((v\/(v*v**(2\/17)*v))\/v*v)\/v))\/v*v*v)\/v*v))\/(v**13*v**(-6)) assuming v is positive.\nAnswer: v**(-1047\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/4 (b) -0.4 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.51*-0.2\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 89140*g - 11 + 89139*g.\nAnswer: -g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -3*j**2 + 3\/8*j**4 - 2*j**3 - 53 + 0*j + 3\/10*j**5. Find g such that c(g) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -a6a82?\nAnswer: -a6a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 2. Give f(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3 - 14*j + 11*j + 8*j**2 - 6*j**2. Suppose 4*v + 4 + 8 = 0. Let g(f) = -f - 1. Let n(h) = v*g(h) + i(h). Let c(k) = k. Calculate c(n(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2484)\/756*(-2)\/46)\/(-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19600, 39176, 58746, 78310, 97868, 117420?\nAnswer: 136966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4055 is divided by 405.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.4791547\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.531 - 0.591. Let q = k - 7. Let x = q - -0.26. What is the closest to -1 in 3, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7029171*x**4 - 208*x**2 - 3563?\nAnswer: -168700104*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 570037329, 570037331, 570037333, 570037335, 570037337?\n\"Answer: 2*g + 570037327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*k + 295*k - 145*k - 42 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4172598 (base 10) to base 4\nAnswer: -33322230312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 8 - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 2*s + 56. What is the second derivative of -1 + s*c - 8*c**4 - 10 + c**5 + 18 wrt c?\nAnswer: 20*c**3 - 96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 54. Suppose b*j + 4*h = 232, -208 = -4*j + 3*h - h. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62\/(-93)*1\/(-4)*1\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 26 = -4. Let b = 25 - 4. Solve b = 3*u + a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -5, -4\/9.\nAnswer: -5, -4\/9, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111701 is divided by 5385.\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5676*j**2 - 2671*j - 2647*j + 3 + 281*j**2 - 3 wrt j.\nAnswer: 11914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 211\/4. Let r be (-130)\/(-45) + -5 + 1 + 1. Sort r, p, 0.3, -1 in ascending order.\nAnswer: -1, r, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/15 (b) -0.7 (c) 575 (d) -2\/17 (e) 5 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9277 + 45528. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -257*s**4\/24 - 5*s**2 - 621. Let o(q) = -16*q**2. Determine o(l(d)).\nAnswer: -1056784*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-12))\/((-42)\/224).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1136, 9546, 32488, 77228, 151032, 261166, 414896?\nAnswer: 619488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 + 2*d + 1. Suppose -7*f - 67*f + 148 = -0*f. Suppose -3*u = -0*u + 27. Let c(g) = -8*g**3 + 8*g + 5. What is f*c(v) + u*n(v)?\nAnswer: 2*v**3 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdkdbde. What is prob of picking 1 d and 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62900 or -66744?\nAnswer: -62900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 2144 = 5*s, -4*s - 4 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -90. Let m = u - 21. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/92 + (-130)\/7360*12. Which is greater: 16 or b?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - x - 1. Let m(f) = -8*f**2 - 5*f - 4. Let s(p) = 5*d(p) - m(p). Calculate the remainder when s(-1) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3178283710 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 94473.\nAnswer: 94473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 93*c**2 + 186*c - 395. Give q(-95).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 74*q - 2. Let w be y(-2). Let g = w + 210. Suppose -5*p - p + g = 0. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:15 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 8*d - 16. Let t be 10\/8 - (-33)\/(-4). Is f(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c*c**(-3\/5)\/c*c\/c**2*c*c*c*c**(-3)*c)**(21\/2) assuming c is positive.\nAnswer: c**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(85)*2)\/(sqrt(120)\/sqrt(6) - ((sqrt(5) - (-3*sqrt(720) - sqrt(5))) + sqrt(5))).\nAnswer: -24*sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -181, 2 in descending order.\nAnswer: 13, 3, 2, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -11312303?\nAnswer: 11312311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/17 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10869 and -0.1.\nAnswer: 1086.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (-57)\/(-12)) + 102\/8. Let q = y + -10. Suppose 3*a + q*c - 68 = 0, 2*a = -2*a - 5*c + 86. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-16) + (-22932)\/21952\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 169285*j\/4 + 42321.\nAnswer: (j + 1)*(j + 169284)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**4 - 3*a**4 + a**4 + (7*a + 8*a**3 - 7*a)*(-53*a - 11 + 11) as q*a**2 + l*a**3 + u*a**4 + h + o*a and give u.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*z**3 - 1323\/5*z + 663\/5 + 657\/5*z**2.\nAnswer: 3*(z - 1)**2*(z + 221)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = -300. Let a be ((-60)\/g)\/((-4)\/(-10)). Let u(t) = t + 3. Let q be u(a). Solve q = 4*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*x - 23 - 15, 2*z = 4. Let p be 40\/x - (-12)\/84. Suppose 0*m - p*m = -384. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -n, 4*f - n - 1483 = -463. Let s = 257 - f. Sort s, 5, -16 in ascending order.\nAnswer: -16, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*n + 42 = 0, 4*v - 2*n = n - 28. Let s be 20\/(v\/195*-3). Let i = 226 - s. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 0*a**2 - 4*a**2 - a**2 - 13*a**3 + 11*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*8\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*v - 8 = 124*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12164 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67608728 divided by -2102?\nAnswer: -32164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -1\/9, 2\/11, 6\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*-1*sqrt(136)*-5)\/(sqrt(64)\/sqrt(2) + sqrt(32) - (sqrt(200) + sqrt(200)*1)) + 4.\nAnswer: -15*sqrt(17)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20968 - 20794.03. Let g = -176 + s. Round g to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -1.1. Let w be 14\/(-18) + (-16)\/72. What is the nearest to w in d, 1\/8, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojjx when four letters picked without replacement from jeexjecxjeno.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 - 2 + 1 + 3*y**3 + 1.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1471*o**2 - 1195*o + 84 - 319 - 2969*o**2 - 107 + 1505*o**2.\nAnswer: (o - 171)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(3*10\/15). Let d = -174 - -170.31. Let m = 3.7 + d. What is the second smallest value in 0.4, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 10*v - 7. Let i be h(-9). Suppose i + 3 = c. Let k = 15 - c. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*j + 1. Let m be 8 + ((2 + j)\/(-4))\/1. Solve -3 - 13 = 2*u + 5*b, m = -4*u + 2*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 4*f**3\/9 - 5*f**2\/6 + f\/3 - 360. Factor y(b).\nAnswer: (b - 1)*(4*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2 (b) 1 (c) -4\/19 (d) 0.5 (e) 2\/249 (f) 36 (g) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 408 - 299. Which is the third biggest value? (a) 0 (b) k (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 - 7*s - 9. Let f be q(7). Suppose -t = 3*t - f. Calculate the lowest common multiple of (-8)\/(-20) + (-88)\/(-5) and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3. Let f(a) = -a + 3. Let m(i) = -i + 4. Let n(d) = 7*f(d) - 6*m(d). Let x(w) = 4*n(w) + 3*r(w). What is x(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*p - 195, 3*r + 149 = 7*r - 3*p. Let i be (1 - (-6)\/2)*24. Let q = i - r. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 30. Suppose i + 1 = z, 2*z - z - 2*i = -d. Suppose z = -5*l + 188. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -121, -112, -91, -52, 11, 104?\n\"Answer: a**3 + 2*a - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -5, 1\/11595, 0 in ascending order.\nAnswer: -5, 0, 1\/11595, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 3 - 3)*(89 - 73*u - 89 + 13*u - u - u + (-1 + 0 + 0)*(u - 3*u + 3*u) + u + 3*u - 2*u).\nAnswer: -122*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*k + 42*k - 66*k - 160 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 6. Let u = -410 - -419. Calculate n(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211000 (base 3) to base 10\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11 - -11)\/(1*-2*1). Let s = 62 + -61.6. Which is the nearest to n? (a) s (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3\/8, 0.5, -2.9852, 3, -4, -2, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29776457 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3375 (b) -3\/329 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 902 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 155425, 5 in decreasing order.\nAnswer: 155425, 5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -29061\nAnswer: -2\/29061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 255177019?\nAnswer: 510354038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 61608*v\/5 + 474443208\/5.\nAnswer: 2*(v + 15402)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**6\/30 + r**5\/20 + r**4\/8 - r**3 - 4*r**2 - 3*r. Let x(q) = 5*q**3 + 4*q**2 + 4*q - 7. Calculate 4*a(f) - 3*x(f).\nAnswer: f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1323 - -141?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 1 + 11. Suppose 0 = -3*p + 73 - 58. What is the highest common divisor of a and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450296711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68.1 + -68. Let b = 0.17 + -0.08. Let z = 0.29 - b. What is the biggest value in z, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**2*r**2*y + 22*o**2*r*y + 547549*o**2*y - 59*o*r**2 - 722*o + 16*r*y + 3 wrt o?\nAnswer: -2*r**2*y + 44*r*y + 1095098*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174252 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6 - (-85)\/15 - 508\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-17*(-14)\/1666).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 1530.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88687196?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -9*j + 3. Which is the second biggest value? (a) 0.4 (b) j (c) -8 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 150 = -5*m - y, -m + 30 = 2*y. What is the highest common factor of m and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84189 + -84197. Let n be (-19)\/(-21) - 1\/3. Which is the nearest to -0.2? (a) n (b) u (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**2*u**5 - 5*a**2*u**3 - 2*a**2*u**2 + a**2 - 2*u**2 wrt u.\nAnswer: -60*a**2*u**2 - 30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c*s + 1470*c + 1003*s + 4 wrt s.\nAnswer: 5*c + 1003","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 x when three letters picked without replacement from {v: 6, g: 4, n: 1, k: 2, x: 2, t: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**23*i**(1\/16))\/((i\/i**7)\/i**(-6\/7)) assuming i is positive.\nAnswer: i**(3159\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, -3, 6.\nAnswer: -14, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13\/36 - -1\/9. Let y = -0.4 + 0.5. Put y, -0.2, h in ascending order.\nAnswer: h, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/15 - 2\/3. Let u = -2\/3 - t. Is -1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.0121, -20, -31, -0.1?\nAnswer: -0.0121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8742, 8715, 8640, 8493, 8250, 7887?\n\"Answer: -4*p**3 + p + 8745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 2)*(-12*g**2 + 665*g - 665*g)*(g**2 + 0 + 0) to j*g + k*g**4 + y + p*g**2 + b*g**3 and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 0*z)*(-z - 4*z + 3*z) + (z - z - z)*(3*z - 5*z + 3*z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 561 = 2*l + 4*s, -852 = -3*l - 4*s. Calculate the lowest common multiple of 384 and l.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51084 is divided by 206?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = -n, 4*f + 10*n - 16 = 5*n. Suppose -l = -2*l + 6. Let v(p) = p**2 - 3*p + 7. Calculate the remainder when v(l) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4923.5 - 4924. Let h = 4.03 - 0.03. Which is the nearest to 0.04? (a) 0.1 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6 - 2\/(-8). Let p = 41.5 + -42. Let r = 4 - 3. Which is the nearest to 0? (a) p (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -90 - 4?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2 + 7. Suppose s*d + 5 = 4*d. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5197352*h**4 - 33*h**2 - h - 6337 wrt h.\nAnswer: 124736448*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 2*v + 7, 2 - 6 = 2*j + 2*v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3.5. Let m = s - 1. Let d = 15 - 10. Sort 4, m, d in increasing order.\nAnswer: m, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 - 15) + -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.099 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 19673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*p**2 - 1699283*p + 1699283*p.\nAnswer: -107*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 752980?\nAnswer: 94875480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 41*u**2. Let q(k) = -27*k - 5. Determine q(a(z)).\nAnswer: -1107*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3))**(-10) assuming x is positive.\nAnswer: x**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/14)\/((-18)\/(-14)). Suppose 0*q - 6 = -h - 4*q, 4*q + 18 = 3*h. Let s = -5 + h. Is s smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97256 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = m, 2*m + 3*m + 18 = 3*x. Let w(u) = 4*u. Let l be w(x). Suppose l*g - 122 = -26. What is the greatest common divisor of 48 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-three fifths of a meter?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*a = 4*b + 19, 0 = -4*b - 5*a - 13. What is the greatest common factor of 6 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 730. Let s(v) be the second derivative of -v**3 + 9*v - 454. Determine s(u(c)).\nAnswer: -12*c**2 + 4380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 12868.47596 to 0 decimal places.\nAnswer: 12868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -199*n - 26. Let p be r(-6). Suppose 0 = 4*a - p - 1092. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6287 is divided by 81?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39153900 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7291 + 4.\nAnswer: -7287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (664\/208 - (-10)\/((-180)\/63)) + 36792\/936\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 4*r - 173, 3*r + 171 = 5*f. Let g = 47 - f. Suppose 3*h + 4*u = 8*u + 35, 2*u - g = -2*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-1)\/((-22)\/4) - (-90414)\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 6. Let t be v(-12). Calculate the remainder when 9\/(1 - t\/(-21)) is divided by 2\/(((-24)\/(-34))\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12351, -12270, -12189, -12108, -12027?\n\"Answer: 81*p - 12432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -120450400.7.\nAnswer: -120450395.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2070)\/2208*8\/(-10))\/((-2)\/(-4) - -1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0515 + -0.036. What is r rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.9 - 0.24675899041.\nAnswer: -20.14675899041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**4*t - 2204*b**4 - 63*b*t - 123*t wrt b.\nAnswer: -12*b**2*t - 26448*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2861 - -0.0861. Which is the fifth smallest value? (a) j (b) -3 (c) -5 (d) 8\/7 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**2 - l - 10. Let y(o) = 13*o**2 - o - 19. Let n(f) = -5*g(f) + 3*y(f). Let b = 197 - 200. Calculate the remainder when n(b) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -121*o**2 + 2031*o - 50. What is m(17)?\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*150\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -38, -106, -210, -356, -550, -798?\n\"Answer: -f**3 - 9*f**2 - 4*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 162.9 + -2\nAnswer: 160.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 5*w**2 + 6*w - 5. Determine s(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 16*g + 24. Calculate q(-8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 633, 606, 579, 552, 525?\n\"Answer: -27*o + 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 11*i**2 - 27*i + 12. Let l be v(13). Let b(s) = -79*s - 2. What is the tens digit of b(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110 (base 2) to base 10.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -0.2, 0.1, -2\/13, 156, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 365709\/221 or 1656?\nAnswer: 365709\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.2 + -22. Let g = -1.9 + r. Which is the nearest to 1? (a) g (b) 2\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, -9, -7, 1, 15, 35, 61?\n\"Answer: 3*c**2 - 13*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3058 = -290*p - 2349 - 1553 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2251886729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 264\/198*3*3\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3180, -6174, -8938, -11370, -13368?\nAnswer: -14830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/(-9))\/((-12)\/(-36)). Let y(i) = -i**3 + 6*i**2 - 6*i + 5. Let m be y(5). Suppose -3*z + 5*z - r = m. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 8 = -f. Suppose w - 142 = 4*c - 145, -2*w = -2*c. Sort f, c, -24 in decreasing order.\nAnswer: f, c, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 21. Suppose 5*p = s - 29, f*p + 3 = -s - 8. Does 2 divide 1\/((-93)\/(-30) + s\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 32. Let j(o) = 2. Let r(v) = -2*v**3 + 9*v**2 + 12*v - 25. Let i be r(5). Let t(m) = i*j(m) + a(m). Give t(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.950905 rounded to 1 decimal place?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + 4. Let x be 1556\/6*(4 - 355\/t). Let u = x - -174. Which is the third biggest value? (a) -2 (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69128475.\nAnswer: 3, 5, 13, 70901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 71.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 130 = 110. Put 1, -6, -3, -5, q in ascending order.\nAnswer: -6, -5, q, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 6*m - 3*m. Let a = 87 + -78. Is 24 a factor of b(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:26 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*b + 21, 11*b - 22 = 13*b + 4*t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 30?\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.031 - 1.031. Sort -5, x, -0.3.\nAnswer: -5, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 192 + -292. Let t = 1963 + -1162. Let a = t + w. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 2, t: 2}. Give prob of picking 2 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**5\/20 + 2*v**3\/3 + v**2\/2 + 3*v. Calculate the remainder when 31 is divided by g(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (4 - (3 + 2)) + (58 + -4 - -1).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - (-10 + 6 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 8:09 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -t - 0*t + 71, 3*t = 4*c - 117. Suppose 2*o - 5*v + 14 = 0, 5*o + 2*v + c + 2 = 0. Let f(m) = -m - 4. Let n be f(o). Solve 4 + 2 = -n*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*u - 93 - 127 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 0 + -1)*1. Put j, -4, 5, -2 in ascending order.\nAnswer: j, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((-2)\/((-60)\/3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.496491289 to one decimal place.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2016)\/128 - -13 - (-3)\/(-28)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:39 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 767\/10 - 276\/5. Let t = f + -22. Which is the second biggest value? (a) t (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6342 (base 7) in base 10?\nAnswer: -2235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m - 32. Suppose 3*w = m*w - 5. Suppose 2 = -f + 3*b, 3*b = 3*f - 13 + w. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l - 3. Let j be u(-3). Let b(y) = y**3 - 3*y**2 - 2*y + 4. Let h be b(j). Let f(v) = -15*v - 2. What is the common denominator of -99\/8 and f(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (0 + 2) - (-2 - 20 - -23).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 1. Let p(h) = -6*h**3 - 3*h + 4. Determine 3*l(k) - p(k).\nAnswer: 9*k**3 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 122\/(-7) + (15 - -3). What is the biggest value in -2, 145, o?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2 + 301*v + 5382. Give w(90).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -24*j**2 + 6*j + 4. What is r(-1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-8) + 8414\/(-56). Let f = -128 - p. Suppose 852 = -17*y + f*y. List the prime factors of y.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4*sqrt(140)*1)\/(sqrt(20)\/sqrt(2)*-3))\/(-4*2*(sqrt(7) - -1*sqrt(63))).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -99, -101, -99, -93, -83, -69, -51?\n\"Answer: 2*j**2 - 8*j - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 + 136. Suppose -n*x + 24 = 4*d, -3*d + 2*x - x = -28. Let k be (-28 + 32)\/(2\/d). Solve -k = -2*l - l - 2*a, -2*a = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 18*r**2 + 312*r + 1142. Calculate t(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51798107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2.89*-192.731\nAnswer: -556.99259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62121 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.13 (b) 33088 (c) -5 (d) 4 (e) 9\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*f = -21, 3*k + 4*f = -21 - 12. Let m = 1 - k. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 r, and 1 q when four letters picked without replacement from {c: 5, q: 2, r: 5, e: 1, d: 2, t: 2}?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Let l = -323\/252 + 2\/63. Which is greater: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 1:00 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from tokqs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -780*y + 743*y - 1443. Suppose -2*z + 2*t + 90 = 0, 0 = 6*t - t + 15. Let r = z + y. Which is the closest to 1? (a) 0.5 (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*r + 1188, -3*y + 3529 = 44*r - 46*r. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 106884 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 177 - -478. Let l = p + -648. What is the remainder when 54 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*v**2 - 49073*v + 1436764.\nAnswer: 10*v - 49073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 9*g - 17. Let n be m(3). Suppose 0*l - 5*l + 55 = 0. Calculate the greatest common factor of l and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 5*c - 10 - 14*c - 14*c**2 + 26*c. Does 7 divide f(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/(44\/400))\/(-2). Let l be 3*(-3)\/((-45)\/k). What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6069\/292 + 39\/73. Let d = -3371396\/9 + 374101. Let o = d - -500. Calculate the common denominator of x and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u - 160 = -12*u + 12*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.9988482 less than -207298?\nAnswer: -207321.9988482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12))\/((-15)\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = x, 3*u + 0*u = -5*x + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-2.2\nAnswer: 0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 6*u - 17. Let k = 86 - 96. Let d be ((-9)\/(-3) - 4)\/(1\/k). Let q be y(d). Solve 4*g + q + 1 = 4*i, 3 = 2*g + i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -9. What is the greatest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8233 - 8235. Put 5\/19, -4, 0, x, -1 in descending order.\nAnswer: 5\/19, 0, -1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*(z\/z**(-1)*z)\/z*z))**(3\/4)*z**34*z\/(z\/(((z**(-1\/37)\/z)\/z)\/z)) assuming z is positive.\nAnswer: z**(1035\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -692, -1650, -2608, -3566?\nAnswer: -4524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*p*r*x**2 + 2*p*r + 2*p*x**2 - 5*p + r*x**3 - 45*r*x**2 - 115*r*x - x wrt x?\nAnswer: -104*p*r + 4*p + 6*r*x - 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 5*h + 6. Let g be c(-5). Let s = -6 + g. Solve 2*x + j = 3, s*x - 9 = -5*x - j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.355 - -130038?\nAnswer: 130049.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674 - 1374 = -28*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b**2 + 14*b**2 + 0*b)*(-2 + 1 + 0).\nAnswer: -13*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.1, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.17 + -0.33. Which is the biggest value? (a) 0 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1454*z**2 + 3*z - 3. Let w(x) = 1400205*x**2 + 2890*x - 2890. Give -2890*d(o) + 3*w(o).\nAnswer: -1445*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8651754?\nAnswer: 2, 3, 83, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*u - 156 - 152*u + 56*u + 39*u to the form a*u + h and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - 3*g)*(-5 + 3 + 7).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -294507 or -294509?\nAnswer: -294507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 24*j**2 + 3*j - 3*j.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126205 is divided by 62174?\nAnswer: 1857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 26*w - 51. Let p be t(28). Solve -6 = 4*d + 2*y, -p*d - 15 = 2*y + 2*y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n - 2. Suppose 5*w - 3*m = 12, -n = 3*w + 3*m + 10. Solve k + 3 = -w*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 2*a - 3. Let o be y(-2). Let k = -714 + 714. Let s = 141 + -124. Solve k*i + s = -o*i + 4*z, 6 = 2*z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-6) - 62\/93\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/286)\/(6\/13) - (-133)\/836.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4100431 + 534?\nAnswer: 4101405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4160 - 630 - 625 - 1659 - 624 - 4*a - 622.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**5\/20 + 5*x**4\/12 - 5*x**3\/6 + 7*x**2\/2 + 9*x. Let w be n(-6). Suppose 3*a = -w + 4. Solve 2*i - a = 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-161)\/1150*-5*1\/(-70)*8.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 153080948 and 4.\nAnswer: 153080952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 10 = 2*z, 5*z = s + 6 + 19. Let n = -8129 + 8123. What is the third smallest value in -3\/7, s, n, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -347*i**7\/42 + 4*i**3\/3 - 5*i - 5. What is the second derivative of t(l) wrt l?\nAnswer: -6940*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 70*a**2 - 3*a + 447. Determine n(70).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4923248 + 60*f**2 + 3*f - 4923248.\nAnswer: 60*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzxxn. What is prob of picking 1 n and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*q**2 - q**3 + 3*q**3 + q**2 + 0*q**3 - 77*q**5 + 2 + 1 wrt q?\nAnswer: -4620*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 40*y - 26. Calculate the remainder when 46 is divided by s(-19).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3546 - 3544. Let l(t) be the first derivative of 0*t + 5\/3*t**3 + 0*t**s + 19. Find j such that l(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, -3, 2\/3, 98, -4\/37, 0.431, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 6722*n**2 - 839341*n - 11712720.\nAnswer: -(n + 16)*(n + 111)*(n + 6595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507\/26 + 6\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8714260705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m - 5*m**2 + 3*m**2 + 1 - 2 + m**2. What is j(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, -1082, -1, -5, 11 in descending order.\nAnswer: 72, 11, -1, -5, -1082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j. Let d(h) = -3*h + 3*h + 2*h. Let l(t) = 4*a(t) - 21*d(t). Let x(b) = 2*b. Calculate l(x(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -560*c**6*g + 34518*c**5*g + 2*c**2*g - 49*g - 19169 wrt c.\nAnswer: -67200*c**3*g + 2071080*c**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -394, -1\/5, 2, -5 in decreasing order.\nAnswer: 2, 1, -1\/5, -5, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) -5 (c) -1\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (19 + 7) - -22.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -0.123, -2\/7?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289375?\nAnswer: 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 42*b**4 + 3568*b + 34*b**3 - 11*b**3 + 16*b**3 + 46*b**3 + 1792 - 9448*b**2 - 17*b**3 = 0.\nAnswer: -16, -2\/7, 2\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 7. Let p = g + 10. Solve -2*u - 4 = -2*s - 2, p = -s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*k + 542685 = 544640 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1583.6 - -359.04. What is h rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 12:52 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2803261 and -1242.9113?\nAnswer: 2802018.0887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -208 or -210?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/4*(-104)\/(-45136)\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176782 divided by 14351?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65911 and 6802709.\nAnswer: 3469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*v + 31*v - 16. Let z = 12 - 8. Suppose -5*r - o = 9, 3*o - z*o = 4*r + v. Is r at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 + 3955505*q\/4 + 2966631.\nAnswer: -(q - 3955508)*(q + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/325 and -58\/5896455.\nAnswer: 383269575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -7.1, -9\/20, -1, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r + 2053. Let s(y) = -7*y**2 + y. Calculate n(s(x)).\nAnswer: -21*x**2 + 3*x + 2053","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3174*y. Let u(t) = 2*t. Give j(u(s)).\nAnswer: 6348*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 14 = -14*c. Let t be (-1)\/2*-6 - c. Calculate the greatest common divisor of t and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + r + 450, r = 3*r - 6. What are the prime factors of h?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v**2 + 4 - 15*v**2 - 23 - 4*v**2 - 17 as j*v**2 + w*v + m and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37761799 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*3 + (-10 - 1)*-1. Let f(v) = v**2 - 7*v - 8. What is f(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1633924266?\nAnswer: 2, 3, 13, 19, 58027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4366 or 4328?\nAnswer: 4328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**3 + 6*s**3 + 11*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - d + 3 = 0, -5*w + 3*d + 17 = -14. Let s(a) = 2*a - 6. Let x(b) = 2*b - 5. Calculate w*s(y) - 6*x(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 7*v**2 + 88*v - 879. Determine b(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 282\/15 - (1\/(-5) + 0). Let l(a) = 3*a**2 + 7*a + 57. Let n be l(z). Let x = n - 846. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211 + 0?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048711 (base 9) in base 8?\nAnswer: -2115576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 2*v - 148. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25333 or 23382?\nAnswer: 25333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*n**3*x**2 - 6*n**3*x - 8432*n**3 - 3*x**4 wrt x?\nAnswer: 42*n**3*x - 6*n**3 - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jopopggjbpogojrgoogb. Give prob of picking 1 j, 1 r, and 1 p.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is e7d (base 16) in base 2?\nAnswer: 111001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*d = -4, -2*z - 2646*d = -2649*d - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818*l = -269*l + 261*l - 623*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 14 = 5*u, 36 = 5*u - 7*p + 7 + 4 - 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(72))\/sqrt(2))\/(sqrt(84)\/(sqrt(14)\/sqrt(2))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018848656 to 4 decimal places.\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1220572 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86*m**3 - 964*m**2 + 964*m**2)*(5 - 1 - 2)*(1 + 1 - 3).\nAnswer: -172*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = s + 2*s. Suppose 2451*o - 5*r = 2447*o - 50, 0 = 3*o + 2*r - 20. Put 5, -2, s, o in ascending order.\nAnswer: s, -2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.052, 0.9, 1\/3 in descending order.\nAnswer: 0.9, 1\/3, 0.052, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 864596*m - 2593782. Calculate b(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1776827.\nAnswer: 13, 31, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -363 - -433. Let p = q + -65. What is the nearest to 2 in -10, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -8 + (-2 - -963) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10226 - -10204.882. Let s = 0.218 + k. What is s rounded to 0 dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2379 or 2380?\nAnswer: 2380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21179132 times 1?\nAnswer: 21179132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 23*i + 97. Let f be g(-6). Suppose -2*r + 182 = -4*u, -r = -3*r - u + 172. Let x = r + f. Which is bigger: x or 45?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1515 and 28583?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:11 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**2 - 7520*m = 0. What is m?\nAnswer: 0, 1504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124151*0.4.\nAnswer: -49660.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 23 - 3. Solve 4*m = -g*i + 6 + 9, 0 = -i - 4*m + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c. Let h(m) = -24*m + 1953. Let z(i) = -5*i + 389. Let l(q) = -4*h(q) + 19*z(q). Determine l(o(u)).\nAnswer: -6*u - 421","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3723266 (base 8) to base 16\nAnswer: -fa6b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + -104. Let l = 61 + u. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -16066559 and 0.0071.\nAnswer: -16066558.9929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 32 = -4*o, o + 2*c + 3 + 2 = 0. Let q be 1 - o\/(3 + -6). What is the third derivative of 2*l**5 + 4*l**2 + l**5 - 3*l**q - 5*l**2 wrt l?\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -54573*g + 54568*g + 7*x, 6*g + x = -31 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3913 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: Express 948*c**2 - 52*c - 2 - 1865*c**2 + 1 + 928*c**2 in the form v*c + n*c**2 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 = 0, -z - q = -2*q - 9. What is the highest common factor of 66 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1766342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + s - 28, 2*b = -2*s - s + 54. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116720 and 880?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/14)\/((660\/(-168))\/(-11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -3. Let x = -0.01 + 2.01. Let u = x + l. Which is the closest to -0.1? (a) -1 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -132, -562, -1270, -2250, -3496, -5002, -6762, -8770?\n\"Answer: a**3 - 145*a**2 - 2*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 41*s**2 + 45*s**2 - 5 - 97*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -22.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.74878 weeks to microseconds.\nAnswer: 55489662144000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 71 = -51*o + 134, y = -3*o + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u**2 + 0*u + 0*u)*(1 - 3 + 1 + (3 - 2 + 0)*(-2 + 1 + 0)) + (114*u + 15 - 15)*(0*u + u + u) to the form o*u**2 + y*u + r and give o.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.4 + -1.1.\nAnswer: 28.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 12:00 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - n**2 - 2)*(-n**2 + n**2 - 2*n**3) - n**5 + 0*n**5 + 0*n**5 + 2*n**5 - 7*n**3 + 11*n**3 + 7*n**3.\nAnswer: 3*n**5 + 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 4. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**6*m**(1\/5)*m)\/(m**(-8)\/m**0)*((m\/(m*m*m**(-1)))\/m)**(3\/13)*(m**(-3\/5)*m)\/(m**3\/m) assuming m is positive.\nAnswer: m**(934\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-1)\/27*9\/4. Which is the closest to -1\/4? (a) 3\/2 (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w - w**2 + 10*w**2 - 2 + 1 - 5*w**2. Let i be t(1). Solve -3*c + 4*z = 27, -i*z = c - 15 + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/451, -1\/2, -0.10298?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(3000)*-1*3 + sqrt(3000))*-1)\/(sqrt(54)\/(6*sqrt(36) + sqrt(9))*6))**2.\nAnswer: 84455\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*m - 114*m = n - 5, 2*n - 10 = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -15505947 less than -15505948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13639 divided by 2190\nAnswer: -13639\/2190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/(-6))\/((-2640)\/990))\/(-1*1\/(-41)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 898801\nAnswer: -179760.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90591121 to the power of 1\/3, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2037*k**2\/5 - 9073614*k - 133632\/5 = 0?\nAnswer: -22272, -2\/679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x = -36*x. Solve 5*w + x*w = 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1848631 and 2.\nAnswer: 3697262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*t + 17670 = 144*t. Is t a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127107558.\nAnswer: 2, 563553779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/7 - 2672*m\/7 - 3760.\nAnswer: -4*(m + 10)*(m + 658)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*f**3\/3 - 140*f**2\/3 + 52*f\/3 + 4.\nAnswer: 4*(f - 1)**2*(19*f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -17*u - 88. Let q(d) = -9*d - 44. Let v(c) = 7*q(c) - 4*s(c). Let g be v(-8). Suppose 0 = -g*m + 32 + 68. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*u + 111 = 0, 391*u + 39 + 109 = 395*u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/((-7)\/(-4))*-3. Suppose i = 2*w + w. Let z(u) be the third derivative of -u**5\/60 - u**4\/24 + 2*u**3\/3 + 68*u**2. Give z(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100010110111011101 (base 2) to base 14.\nAnswer: -135181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(2\/(-20)*2). Let w be 2\/2 - (2 + 0)*(-65)\/(-208). Put -13, 2, w, c in descending order.\nAnswer: 2, w, c, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50927 is divided by 1498?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**2\/2 - 21471*w - 128880 = 0.\nAnswer: -6, 14320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 8:53 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/6)\/(g*g\/(g**25*g)) assuming g is positive.\nAnswer: g**(143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328 and 2604730?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -35. Suppose 0 = 2*m + b*s - 874, 5*m = 2*s + 2*s + 2139. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(242)*2 - sqrt(242) - (-1 + sqrt(242))*4) + 4.\nAnswer: -165*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -4, -44 in increasing order.\nAnswer: -44, -4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, v: 3, i: 1, x: 3, k: 3}. What is prob of picking 1 i, 1 q, and 2 k?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 670 + 446?\nAnswer: ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/17 + 390*q**3\/17 + 20304*q**2\/17 + 318816*q\/17.\nAnswer: 2*q*(q + 36)**2*(q + 123)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7) - (sqrt(7) + sqrt(28))) + 0.\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 15.5. Which is the nearest to -0.1? (a) y (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49062980 rounded to the nearest ten thousand?\nAnswer: 49060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1970933 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-311 + 167 + 216)*(-2*x + 0*x + 3*x)*(0*x - 5*x**2 + 0*x) as s*x + b + m*x**3 + q*x**2 and give m.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l = c - 4*c - 37, 3*c + 32*l - 19*l = 8*l - 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 60*y - 121. Is n(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*33*(32144\/(-2058))\/164*35.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 + r**2 + 0*r**2)*(5082*r**2 - 169*r**2 - 1084*r**2 + 3310*r**2) + r**3 - r**3 - r**4 as b*r + j + d*r**4 + v*r**3 + s*r**2 and give d.\nAnswer: 7138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -57 + 7\/2*y**2 + 0*y. Let v(a) = 10*a**2. Calculate v(j(h)).\nAnswer: 490*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 200?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1267 is divided by 289.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 6*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.9 + -64.8. Let i = d + 33.8. Round i to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3559130 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41739, -41749, -41761, -41775, -41791?\nAnswer: -41809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21449179 is divided by 3064168.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s + 1\/2*s**2 + 3\/2*s**3 + 0. What is the lowest common multiple of o(1) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 684, 1472, 2270, 3084, 3920?\nAnswer: 4784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208\/(-65))\/(84\/100)*(-81)\/315*-7.\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/((-15)\/(-210))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, m: 12}. What is prob of picking 2 c and 2 m?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 415315001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6235.6812 rounded to 0 dps?\nAnswer: -6236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -159174.1 to the nearest 1000.\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 - 992\/7. Let q = -5 + 3. Which is the biggest value? (a) -0.5 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -2 (c) -0.442 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 10*q - 6. Let z be v(7). Let r be ((-6)\/z)\/(2\/(-20)). Suppose 18 = r*j + 2. What is the closest to -2\/7 in j, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - f**4 - f**2 + (f**3 - 2*f**3 + 0*f**3)*(18 - 18 - 3*f) + 4*f**4 + f**4 + 0*f**4 to g*f + c*f**2 + m + i*f**3 + d*f**4 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + f = -b - 22, -f = -b - 10 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 3*r**5\/20 + 3*r**4\/4 - 5*r**3 - 36*r**2 - 30*r - 7. Find a such that f(a) = 0.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197842, -198030, -198540, -199534, -201174, -203622?\nAnswer: -207040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoozuccbuocoucouocz. What is prob of picking 1 c and 1 o?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 5*a**4\/4 + 2*a**3 - 4*a**2 - 7*a - 2063. Let g(v) = -v**3 - v**2 + v + 1. Let x = 1 + -2. Calculate x*c(p) - 6*g(p).\nAnswer: p**3 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -2, -5.\nAnswer: -45, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 52481\nAnswer: -52464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 28*n**3 - 490492*n**2 + 1261044*n + 630540 = 0?\nAnswer: -3\/7, 3, 17515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 2*m + 316 - 332, 3*m = n + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - i - 10, 0 = 3*y - y - 4*i - 4. What is the derivative of f**3 + 4*f - y - 4*f wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(288) + -5.\nAnswer: -5 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -36.01. Let m = 1.16 + -1. Let b = n + m. What is b rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*50\/(-35))\/((-10)\/140). Solve 3 = -4*g - c, 3*g + 2*g - 2*c + d = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**5 + 14403681*t**4 + 20199050*t**2 wrt t.\nAnswer: -120*t**2 + 345688344*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45675016 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a. Let j be u(-1). Let m be -1*((-5 - j) + 2). What is the least common multiple of (-1 + 0)\/((-1)\/m) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 b when three letters picked without replacement from ruubnr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3\/8 - 775*d**2\/2 + 18627*d\/8 - 13977\/4 = 0.\nAnswer: -3106, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57.236 + -0.264. Let w = i + 57.4607. Round w to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -457, -462, -479, -514, -573, -662, -787, -954?\nAnswer: -1169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1 + 0 + 5 + r**2 - 2 + 8*r. Let g be f(-8). Solve -3*l + 12 = -v, 3*v - g*l = -v - 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28990 - -24969. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43621511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2043 + 2046. Put j, 0.4, 4 in ascending order.\nAnswer: 0.4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmvv when four letters picked without replacement from vvmvmvmmmvvv?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 8) to base 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w - 75. Let g be v(8). Suppose -4*x + 16 + 29 = c, 0 = -g*x + 2*c + 40. Calculate the smallest common multiple of x and 33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/116128496 and 27\/553520?\nAnswer: 580642480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -333 - 1?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + -11211?\nAnswer: -12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -719.7 to the nearest 10.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 0 + 2. Let q be (-1*1)\/((-15)\/(-6)). Suppose -6 = 3*n, g - 2*n = -0*g. Sort q, g, a in decreasing order.\nAnswer: q, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 1272562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 7. Let k be p(9). Let f(l) be the third derivative of 0 + 0*l**6 + 0*l**4 - l**k + 0*l**3 + 0*l + 1\/105*l**7 + 0*l**5. Let f(r) = 0. What is r?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpll when four letters picked without replacement from lplplpp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -0.286226.\nAnswer: 0.713774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -101*w. Let b(o) = -101*o. What is b(y(r))?\nAnswer: 10201*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/31480 and 47\/6484880?\nAnswer: 6484880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -62 - -6dc?\nAnswer: 67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1404 = -4*a, 9*w + 4 = 5*w. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 + -1424. Which is bigger: -1357 or i?\nAnswer: -1357","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = p, 4*x + 19 = 5*p + 54. Let c(r) = 4*r**2 - 5*r - 1. Calculate the remainder when c(p) is divided by 26\/(-221) - (344\/(-34) + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1015340 + 1015340 - 6048*g**2)*(0*g - g + 0*g) as l + w*g**2 + m*g + o*g**3 and give o.\nAnswer: 6048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 101*z**2 + 6*z + 18. Calculate d(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 bigger than -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*k**3*n**2 - 17*k**3*n*s - k**3*n + 3*k**3 - 121*k**2*n - 1819*k*n**2*s - n**2 wrt s?\nAnswer: -17*k**3*n - 1819*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2453 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3 - -10) + (11 - (1 - (-3 + -6))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Suppose 4*t + n - 20 = 0, -n - 2 = a. Suppose i - 2*i = 0. Solve -l + t*l - 10 = i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.68 - 93.72. Let c = s + 59. Let h = c - -37. Round h to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -7.3\nAnswer: -0.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -130, 2.33, 61 in decreasing order.\nAnswer: 61, 2.33, -5, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**3)\/(a*a**17) assuming a is positive.\nAnswer: a**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 137 - 3*w - 137 + (w - 5*w + 2*w)*(-4 + 2 + 4) - w + 0 + 0 + (0 + 3 + 0)*(3 - 3 - 2)*(19*w + 71 - 71) in the form r*w + l and give r.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -410798511 plus 4?\nAnswer: -410798507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -36*m + 33. Let b be a(-9). Is (161\/b - (-4)\/(-34))*8223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 4) in base 7?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 - 3*w + 16. Let m(s) = -3*s**2 + 4*s - 15. Let d(y) = -3*m(y) - 2*p(y). Is d(11) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1363759, 1363764, 1363771, 1363780, 1363791, 1363804?\nAnswer: 1363819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-48)\/8)\/((-16)\/8). Solve -n*m + m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3707836112 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - d**2 + 1. Let y be a(-1). Suppose 4*n + 262 = -t, 0 = -3*n + 4*n - 4*t + 74. Let p be (-17)\/154 - 12\/n. Is p equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-80))\/((-319)\/(-116))*4\/(-14)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*d - 35*d + 5*d + 1095 = 0 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170.6*-2.6.\nAnswer: 443.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + (sqrt(648) - (-4 + (sqrt(648) - 2*sqrt(648)))) + 5 + 5)**2 + 4.\nAnswer: 1224*sqrt(2) + 2885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1338 - 4788. What is w rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1905 - -1911. Solve -1 = -3*w - 2*u - y, w + u = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/7, -9, 557, 5, 0.1 in ascending order.\nAnswer: -9, -4, -2\/7, 0.1, 5, 557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 64\/(-6))*57\/4. Let v be (-3)\/2*(4 + k\/(-12)). Solve -v*p + 11*p = 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 23452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*(sqrt(605) + 1) + sqrt(605) + sqrt(605) + 1*sqrt(605) + -4 + sqrt(605) + 0)**2*-4.\nAnswer: -5280*sqrt(5) + 49120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -85, -93, -101?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o + 8. Let p be w(-5). Suppose 24 = -3*n - p. Let a(g) = g**3 + 13*g**2 - 13*g + 26. Let h be a(n). Solve l + 2 = -2*j - 1, 2*l - h = 5*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12328 and 920.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhshhhhhhhhshhhhhhh. Give prob of picking 2 s.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24034999 or 24035000?\nAnswer: 24035000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150574 and 2054?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/15*3)\/(4\/(-10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 482850, 482853, 482856, 482859, 482862, 482865?\nAnswer: 482868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -1 + -2)*-2.\nAnswer: -18*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcxxuvxcuuux. What is prob of picking 2 v?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6699 >= 6698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*v + 106*v + 10 = 0. Let n = -687\/299 + 31\/13. Which is greater: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2. Let z be 12\/(-9)*6\/(-4). Let m(y) = 0*y + 2*y + y**2 - z*y. Determine t(m(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1408 and 139952?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1072 and 2814.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 97.3911 decades?\nAnswer: 11686.932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*q = 102*q + 169*q + 95. Let b(j) = -1. Let l(m) be the third derivative of -m**4\/24 + m**3\/6 - m**2. Calculate q*l(x) - 2*b(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*u**2 + 45*u**2 + 69*u**2 - 221*u**2 + 48*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88 (base 9) to base 4.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*n + 9, 0*n - z + 12 = -4*n. What is the closest to 0.1 in n, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -291 - -3781\/13. Let f = 50963\/2093 + -19\/299. What is the smallest value in f, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896113291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/5*y + 0 + 16*y**2 + 162\/5*y**4 - 234\/5*y**3 = 0. What is y?\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -2\/3, 1\/8, -2\/9, 27\/2 in increasing order.\nAnswer: -2\/3, -2\/9, 1\/8, 1\/6, 27\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/144*-12 - (-76)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose -l*q = 2*q - 28. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/9, 5\/2, -28, -1\/5, 0.32, 0.08?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**5\/5 - 7*t**4\/4 + 41*t**2\/2 - 7. Find the second derivative of b(s) wrt s.\nAnswer: 12*s**2 - 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10174 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 9) + (4 - 1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/123 + 11681\/492. Find the common denominator of o and (-2)\/(-6) - (-897)\/198.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -2b8036?\nAnswer: 2b8035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 23\/24*r**4 - 27*r**2 + 0*r - 7\/6*r**3 + 0. List the prime factors of b(3).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 65*z**2 - 3 + 0*z + 827*z**2 + 8*z + 311*z**2. Let q be k(7). What is q rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbb when three letters picked without replacement from kkxkbdhkhbhbh.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -2, -5, -1 in decreasing order.\nAnswer: -1, -2, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 5*f + 1 - 6 + 3. Let y(w) = -w**2 + 25*w + 25*w - 49*w. Let t(a) = 2*y(a) + z(a). Let t(g) = 0. Calculate g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 - 236*b\/13 - 6962\/13.\nAnswer: -2*(b + 59)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 25*z + 57. Let t be a(11). Let x = t + -8. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 5*q**2 - q + 4. Calculate the remainder when h(-4) is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129050 and 177538?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 + 3*g - 5. Let x be k(2). Suppose 0 = -7*f + x*f - 56150. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-17))**17 assuming b is positive.\nAnswer: b**(-289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006437735 rounded to five decimal places?\nAnswer: 0.00644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10100111000010001 (base 2) to base 14\nAnswer: 23249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 24. Let p be x(12). Suppose 3*n = 4*i - i, i - 3*n + 2 = p. Let k be (21 - 19)\/(i\/(30\/4)). What is the greatest common divisor of 135 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4\/k*k)\/((k**(4\/5)*k*k)\/k))\/((k\/k**(1\/6))\/(k**(-1\/11)*k))*((((k*k\/((k**(1\/4)*k)\/k))\/k)\/k)\/(k*k\/((k*k**(-4))\/k)))**(-2\/71) assuming k is positive.\nAnswer: k**(28723\/11715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/41 - -137\/574. Let o = 277 - 495. Let p = o + 217.5. Sort -1, n, p in increasing order.\nAnswer: -1, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 2:17 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 165564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -20*b**4 + 1. Let x(h) = 4*h**4. Let y be (3\/(-9))\/(1\/33). Let o(d) = y*x(d) - 2*w(d). What is the derivative of o(l) wrt l?\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15064 - 10463. List the prime factors of v.\nAnswer: 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from {s: 1, l: 3, p: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5740000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5))**(-1\/66)\/((v\/v**(-2\/9))\/(v*v\/(v*v*v\/(v*v*(v**(2\/19)\/v*v)\/v*v)))) assuming v is positive.\nAnswer: v**(-2143\/18810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 363\/51 - 7 - 330\/(-85). Let i(n) = 5774*n + 4 + 5 - 5. Let l be i(x). Round l to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n - 190. Let y be s(32). Solve -2*w + 7*w = c - 5, y*w + 4*c + 24 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m - 13. Let x(q) = 180201*q - 360401*q + 180201*q. Determine -f(t) - 6*x(t).\nAnswer: -t + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395100177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*o + 5 = 179*o - 870 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = h - 12. Let v(g) = -6*g**3 - 15*g**2 - 10*g + 2. Let k(o) = o**3 - o + 1. Let a(t) = h*k(t) - v(t). Let a(n) = 0. What is n?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1 - 2\/(-4)). Suppose -k*y + 25 = 3*y. Suppose -y*n = -69 - 11. What is the greatest common divisor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 601061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(252\/(-189)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**5 - 3039*a**4\/4 - 5445*a**3\/4 + 23019*a**2\/4 - 17607*a\/4 + 765 = 0.\nAnswer: -4, 1\/4, 1, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.3, 1, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + c - 28. Let g be ((-14)\/(-1))\/((9 + 29)\/(-19)). Calculate the remainder when (-1)\/g - ((-152)\/(-133) - 13) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 891160858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjjjtstssssttstsj. What is prob of picking 2 s and 1 j?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 115876815 to the power of 1\/3, to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8ba75 (base 13) in base 6?\nAnswer: -5241545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-12)\/o)*o*o*o**28 assuming o is positive.\nAnswer: o**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 16 + 27 + -49?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:00 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1215.248mm?\nAnswer: 1.215248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -183, -3\/5, -3, -0.1, 2\/11 in descending order.\nAnswer: 6, 2\/11, -0.1, -3\/5, -3, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.2*388.\nAnswer: -4345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18774*d + 1873 with respect to d.\nAnswer: 18774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197 - -205 - (0 + 1 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7846441, -7846485, -7846529?\nAnswer: -7846573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4214*p**3 - 268*p**2 + 22*p + 4. Let x(f) = -4215*f**3 + 271*f**2 - 17*f - 3. Let y(o) = 3*g(o) + 4*x(o). Find the third derivative of y(d) wrt d.\nAnswer: -25308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 19?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from {e: 1, a: 2, o: 7, r: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19079 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 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: In base 11, what is 14 + 15a?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 7:36 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -26*-4*((-44)\/16 + 4). Suppose 5*q - a - h = 0, 31 - 11 = q + a. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-10))\/((-29)\/58)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 749626777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165\/(-253))\/(579\/(-84341))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 5*o + 1. Let q(k) = k**2 - 6*k + 7. Suppose 5 = 4*a - 3*a. Let i be q(a). Suppose 20 = 3*m + i*m. What is d(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:59 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or -10\/114243?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + (6*sqrt(2800) - sqrt(252)\/(sqrt(9)*-2)))**2 + 3.\nAnswer: 1210*sqrt(7) + 102520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 64693408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452 = -10*q - 662 + 350 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*w - 30 = 0, -5985*j + 5987*j + 30 = -5*w for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20795 is divided by 675.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -7304.117 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1575.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -513700 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/50 + (-7)\/(-280)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - -3) + -7 - 3. Let s = -4 + 6. Let w(h) = -2*h**2 + s*h**2 + h**3 - 5*h - 3*h**2 + 3. What is w(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 30. Let x be (4 + 28\/l)\/1. Let -2\/3*u**4 + 8\/3*u**3 + 0*u - 8\/3*u**2 + x = 0. Calculate u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1555666 divided by -12.\nAnswer: 777833\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 4. Let j(b) = b + 5*b + 0*b - 5*b. Let h(v) = 5*j(v) + m(v). Differentiate h(o) with respect to o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-713087)\/(-7) + (7 - (-368)\/(-56)). Round t to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 + -90. Let l = -14 - s. What is the smallest common multiple of l and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-90)\/(-4)))\/(4\/40)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z - 2*z + 3 + 12*z to k + f*z and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 = -5*r. Let u = r + 5. Let p(n) = u*n**2 + 2352*n - 2352*n. Let s(w) = -3*w. Give s(p(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 0)*5\/(-2). Suppose 0 = 5*s + 15 + r, -4*n = -2*s - 64. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -14. Suppose -y - x = 3*l, -2*l = 4*y - 0 + 2. Suppose -4*o - 8 = -4*q, -5*q + 8 + y = -o. Solve -5 = 5*h, -2*p + 9 = q*p - 5*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62415 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526667 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 19856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1 + sqrt(77))*-2)\/((sqrt(7) + sqrt(112))*-3).\nAnswer: 4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -202?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + (-4 - (-7 - -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b + 3045 + 1180. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-4 + 2 - 1). Suppose -p*y + 3 = 8. Sort y, -5, 1 in increasing order.\nAnswer: -5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*j + 61*j - 216*j)*((3 + 1 - 3)*(j + 0*j + 0*j) + 2*j + 0*j + 0*j + j - 10*j - j).\nAnswer: 1379*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -11*d**2 + 26701*d - 133273. Calculate t(5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1346 + -0.14201. What is k rounded to four decimal places?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1522003215?\nAnswer: -1522003213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-1)\/((-6)\/(-132)*-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*u - 2*u. Let o = -15 - u. Suppose 5*j - 41 = -o. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 12*h + 13. List the prime factors of (2\/h - (-1140)\/24)\/1.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9))**(2\/37) assuming x is positive.\nAnswer: x**(-18\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 13 - o - 2*o**2 + 5*o**2)*(3*o - o**2 - 3*o)*(3 - 3*o - 3) + (20*o**4 - 2*o**4 - 3*o**4)*(-4 - 7*o + 4).\nAnswer: -96*o**5 - 3*o**4 + 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**3*t**2 - 55004*f*t**3 - 2*t**3 - 68592*t wrt f?\nAnswer: 6*f**2*t**2 - 55004*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 7480*m + 22485.\nAnswer: -5*(m - 3)*(m + 1499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44 - (-3)\/(-1) - 2. Let g = -21 - b. Let n = g + 103. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/10 and -3.77945 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-5 - (-10 - -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1182 is divided by 558.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 709008 and 204?\nAnswer: 12053136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*k - 2*k. Suppose k - 21 = -5*w. What is the derivative of -2 - 7*b**w - 7*b**3 + 18*b**3 wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 94*h**2 - 6*h - 7. Let d be o(-1). Suppose 208 = -89*f + d*f. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -2, -124 in increasing order.\nAnswer: -124, -2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -33 - -28) + -4 + (-9 - -4 - -6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + 2*x)*(-28*x - 21*x + 45 + 52*x).\nAnswer: -3*x**2 - 45*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37915 is divided by 104?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39420581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 870 and 49880.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 121?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.22195?\nAnswer: -0.8878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 + 6*y**3 + 0*y**3.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/800 and -109\/800.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 215670180 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39274.7 milligrams to nanograms.\nAnswer: 39274700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9.813558 and 15?\nAnswer: 24.813558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) 116617 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.4607 to 1 decimal place.\nAnswer: -46.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2515414 is divided by 217.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*u + 11 = -55, 2*k + 40 = -5*u. Let q = -11 - k. Let h be -1 + 0\/2 + 4. Solve 0*t - h*n + 10 = -t, q = n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-42))\/(22\/((-143)\/(-13))*6\/(-21)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:46 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 15, 4*x - 2*l + 3 - 9 = 0. Let h = -10 - -7. Let m be 3 - (x + -4098) - (1 + h). Round m to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -1. Let b(s) = 9*s - 7. Let z(v) = -2 - 4*v + 0*v + 6 - 1. Calculate k*b(y) - 14*z(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, v: 12}. Give prob of picking 2 v and 1 w.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60)\/24*16\/(-2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*a + 28 = 0. Let c(j) = 4*j + 2. Let k(f) = 6*f + 3. Determine a*c(z) - 5*k(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 642 = 8*b - 14*b, 0 = 5*t - 3*b - 1044. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25937, 26561, 27185?\nAnswer: 27809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 + 0*q + 0*q + (-10 - 5*q**2 + 10)*(2*q**2 + q**2 - q**2) - 1 - 11*q + 11*q + 4*q**4 in the form v + f*q + k*q**2 + w*q**4 + j*q**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 10*f**2 + 19*f - 17. Determine b(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**3\/6 - 2*d**2 + 2*d. Suppose -12*y = -2*y - 80. Let p = -8 + y. Determine z(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.06 + -40. Let g = 50 + -50.46. Let l = p + g. Put 0.3, 0.1, l in increasing order.\nAnswer: l, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3166109 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14.712 and -2958?\nAnswer: 2943.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -187, -295, -423, -577, -763, -987?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*q = q. Suppose 2*a + 5 - 9 = q. Let p be 2\/10 - (-54)\/30. Solve -5*b = p*u - 0*u - 31, -5 = -5*u + a*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 0*f - f)*(-28*f - 7*f - 9*f) - 3 - 217153*f + 217153*f + 43*f**2.\nAnswer: -45*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + ((-6)\/8)\/((-9)\/72). Suppose 3*j = r + 2*j - 200, -s*j + 415 = 2*r. List the prime factors of r.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68.7 + 72. Let s = g - 3.2. What is the nearest to s in 2\/7, 1, 6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 9*y + 52 = 0. Is y bigger than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.466883 and -0.30774?\nAnswer: 0.159143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (7\/4)\/((-26)\/26) and -95\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + g + 13 = 0, 2*n + 20 = g + 4*g. What is the remainder when 30 is divided by -5*(16\/n + 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -5, 0.06, 2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2790933 and 3333.\nAnswer: 30700263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1399, -0.2, 103, 1.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (8\/7)\/((-32)\/(-112))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -703 - 96. Let v = 1834 - m. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/18*2*(-12432)\/518?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*q + 98 = -625*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**5\/15 - i**2. Let g(s) be the third derivative of -5*s**4\/24 - 4*s**2. Determine g(j(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + k = -0*k + 336, 4*k + 16 = 0. Let i be 405\/(-2)*1\/3. Are i and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/1080*-200)\/((1\/2)\/(1\/(-14))).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 20 = -5*t, -5624*q = -5617*q - 3*t + 58 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or 2.9?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.249 + 11.094.\nAnswer: 11.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 2 m when four letters picked without replacement from zmvvcmg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 7 - (48 - 53).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p. Let r be o(0). Suppose -7*x = -r*x - 28. Suppose -z = -4*h - 32, -x*h + 0*h - 72 = -3*z. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -172 - -3?\nAnswer: -16f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m + 16. Is 1*m\/(-2) + 25 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -8999899.9504.\nAnswer: -8999903.9504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23, -24, -25?\n\"Answer: -m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -405, -816, -1225, -1632, -2037, -2440?\nAnswer: -2841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhzzhzhzzhhh. Give prob of sequence hzh.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 - 6*r - 22*r**2 + 0*r + 3*r + 6*r**2 + 10*r**2 to the form m*r + g + f*r**2 and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (222\/(-333))\/(2\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 - 56907330345?\nAnswer: -56907330344.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7765 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 351 and 20064759?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + 5*z - 4. What is u(3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 - 3)*(23*h**2 - 6*h**2 - 11*h**2)*(-5*h**2 + 312 - 312) as i*h + w + c*h**3 + z*h**4 + a*h**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-10 - (7 - 12))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1454103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -5*d + 403. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9020)\/119515 + (-375)\/(-53).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svnsvnavunxnvx. What is prob of picking 2 s and 1 a?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*sqrt(612).\nAnswer: -24*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 8. Let r be h(-9). Suppose 5 = -r*q + 15*q. Let o be 1 + (-2 + -2)\/q. Which is the closest to 4? (a) 2 (b) 2\/11 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -9*t. Let w(z) = 340*z**2 + 4904*z. Calculate w(c(g)).\nAnswer: 27540*g**2 - 44136*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4230*m**2*q**3 - 108*m**2 - 2*m*q - m - 3*q**3 - 2*q**2 wrt q?\nAnswer: -25380*m**2*q - 18*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -318*n - 11133. What is p(-35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -805*f - 5*f**2 + 241*f + 4*f**2 + 0*f**2 + 304*f.\nAnswer: -f**2 - 260*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + (3 - -4 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 52. Let j(g) = 11*g**2 + 5*g + 5. What is the hundreds digit of j(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2800\/(-2)*46\/(-92) and 8?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*1*-3. Let p = 459 - 455. Suppose -5*t - 2*t = 7. Which is the second biggest value? (a) t (b) p (c) l (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64681432?\nAnswer: 2, 8085179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2460 + 2459. Let x be (-1 - -94)\/(18\/(-12)). Let h be x\/24 + (-1)\/(-3). Which is bigger: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21807588 and 180228.\nAnswer: 21807588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**3 + 0*c**2 + 0*c**2.\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133079112794867 - 133079083213952.00000016. Let u = -29580913 + x. Let z = u - 2. Round z to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 5930, -77 in ascending order.\nAnswer: -77, -76, 5930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37600 - 66162 = 5988*o + 63902 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -30*f - 144. What is the least common multiple of 75 and b(-5)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7238188?\nAnswer: 2, 47, 38501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 4*j**2 + 6*j + 12. Give o(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 17*z = 124. Let c(m) = -z*m**2 - m**3 + 32 + 32*m**2 + 0*m**3. What is the units digit of c(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - j = -10, -2*x + 10 = -4*j + 2*j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**3\/6 + 9*q**2\/2 + 18*q. Calculate v(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, 0.5, 1, 0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 13*w**5\/12 - 125*w**3\/6 + 120*w**2. Differentiate p(m) wrt m.\nAnswer: 130*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68330*-0.4.\nAnswer: -27332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + (sqrt(20) - sqrt(180)\/sqrt(9)) + sqrt(20))*-3)\/(sqrt(10)*5*-2).\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1999975 + 0.2. Round v to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x. Let y(o) = o**2 - 17*o. Suppose -2*s = -9 - 9. Let a(r) = s*i(r) - 2*y(r). What is the second derivative of a(w) wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 16 = 5*g. Suppose 4*v - 4 = 8, -g*v = -2*w. Solve -4*c + 3*n + 3 = c, c - w = 3*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116951171\/383070 + 10\/38307. Let r = n - 305. Which is greater: -0.01 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236, -234, -232?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 d, and 1 b when three letters picked without replacement from {h: 2, n: 4, e: 3, b: 2, d: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11693)\/2126 + 6 + 0\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 868 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214346423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 10*u**2 - 14*u - 13. What is the remainder when g(-11) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -27?\nAnswer: 61\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 359 divided by 5867\nAnswer: 359\/5867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkqndaaadna. Give prob of sequence dk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f**5 + 19*f**4 + f**3*o + 53*f*o - f + 97 wrt f.\nAnswer: -140*f**3 + 228*f**2 + 6*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(2*sqrt(32) + sqrt(32) + sqrt(8)).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 50 = -0*p - 5*r, -12 = -4*r. Suppose t + 17 = 3*a, 5*a - 3*t + 17 = 52. Let h = 16 - a. What is the remainder when p is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2403*m - 1135*m - 1 - 512*m + 494*m.\nAnswer: -3556*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2043*i*m*o**3 - 12*i*m + 170*i*o**3*t - 2*i*o**2 - 39*m*o*t wrt t.\nAnswer: 170*i*o**3 - 39*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 435235 or 435233?\nAnswer: 435233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -3*s**2\/2 - 10*s + 36. Give f(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + m. Let u(t) = 1109995*t**3 + 2*t**2 + 3*t. Let i(o) = -4*p(o) + u(o). Let x be i(1). What is x rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(168)\/(sqrt(8) + sqrt(24)\/sqrt(3)) + -2*(sqrt(63)\/sqrt(3) + sqrt(21)))\/(sqrt(30)\/(sqrt(1210)*-1))*-3)**2.\nAnswer: 1867635\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -260, -989, -2404, -4733?\nAnswer: -8204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 7. Calculate the remainder when 22 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 87 + 306 = 3*i, -3*i - 257 = -4*x. Let v = x - 817\/12. What is the biggest value in 0.1, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1228 divided by -2.\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 8:10 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 2*f + 5. Suppose -2*x + 14 = -u, -4*u + 0*x + 5*x - 44 = 0. Let k(p) = -7*p - 4. What is the remainder when k(u) is divided by w(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -1550111?\nAnswer: 1550110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -0.3 (b) -0.2 (c) 5 (d) 0.287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (480755\/(-20))\/(-11) + 4\/(-16). Suppose n = 12*v - 7*v. Calculate the remainder when v is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1530)\/(-425)*(-40)\/(-2). Let c be (-4)\/(-10) + 4\/(-10). Suppose k*v - 75*v + 696 = c. What are the prime factors of v?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 451 - 448. Suppose 4*v = -0*v + 4*r, -3*v - 2*r + 15 = 0. Suppose s*t + 206 = 5*x, 2*x - 181 = -2*x - v*t. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -553*c**2 - 3*c**3 + 233*c**2 + 248*c**2 - 69*c = 0. What is c?\nAnswer: -23, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 11. Let y be 24\/(-16) - ((-11)\/(-2))\/b. Find the third derivative of 32 + 31 - 63 - 11*j**y - 16*j**2 wrt j.\nAnswer: -264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.055 - -38228721.\nAnswer: 38228722.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/15, -0.3, 3\/2 in descending order.\nAnswer: 3, 3\/2, -2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34695 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**30*d*d*d))**(5\/7) assuming d is positive.\nAnswer: d**(-160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 1218. Let l be d(0). Suppose -f = -4*s + 5046, l = 2*s + f - 1308. Suppose -4*x = -2*v + s, -5*v - 4*x + 3155 = -x. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5, 0.35, 23?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4418 + 6673. Does 55 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 2*w + 100. Let k(l) = l**2 - 10*l + 22. Let p be k(9). Let h be 0\/p*2\/4. Calculate the remainder when i(h) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.11, -794?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 10*h - 11*h + 15, -2*i = -h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*v**2 - 85*v**2 - 61*v**2 + 38*v**2)*((-1 + 4 - 2)*(1 - 1 + 2*v) - 5 + 2*v + 5 + 0*v + 0*v - v).\nAnswer: -504*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 4. Let t(r) = -5*r + 76 + 17 + 10*r + 21. Let z be t(-22). Calculate q(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -627, 2, -3, 1 in decreasing order.\nAnswer: 4, 2, 1, -3, -5, -627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6522 and 101\/431340.\nAnswer: 468866580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1173)\/(-68))\/((-6)\/(-8)). What is the second derivative of -10*h**4 - 15*h**4 - q*h**4 - 40*h wrt h?\nAnswer: -576*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/4*(-14088)\/8218*84\/9.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -3, 280?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7071773?\nAnswer: 37, 131, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8133383669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -83159*c**2 + 28390.\nAnswer: -166318*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/3526 and -23\/17587.\nAnswer: 1442134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 50, -8377.\nAnswer: -8377, 1\/7, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.009 - -414.009. Let f = q - 413.975. Is -11 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2985 = -292*t - 1065*t + 246*t - 14095 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005797611076 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 2. Let n be 24\/(-14) + 4\/(-14). Let g be o(n). Let k = 0 + g. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*g - 19, 0 = -o - 3*g - 0*g + 44. Suppose o = 3*q + 2*b + 8, -4 = q - 3*b. Solve 11 + q = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -68, -122, -192?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-3)*(-174)\/(-11368)*-7\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, 2\/29, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19466059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.38 - -18.38. Suppose j + 15 = f - 1, 5*j = -3*f - 56. What is the third biggest value in b, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/3160 and 85\/1896.\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 4:09 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/4 - 1821*j**4\/4 + 175309*j**3\/2 + 88110*j**2 = 0. Calculate j.\nAnswer: -1, 0, 220, 1602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 17, 29, 41, 53, 65?\n\"Answer: 12*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/42)\/(1\/(-12))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*s = 3*m - 1, 0 = 3*m + 15. Suppose l = -3*l + s. Let g = l + 6. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*r + 14, -28 = -4*d - 0*d + 5*r. Let i = d + 5. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 16 = -15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-46708)\/(-2))\/((-92)\/115*(-15)\/6)?\nAnswer: 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 - 1220?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 306.7 - 307. What is the nearest to 1 in 31, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 5879918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -7, 16\/7, 0.4, -7.1 in descending order.\nAnswer: 16\/7, 0.4, -2\/13, -7, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*b + 35834, 8*b = 4*b + 8. Suppose 5*w - h = 4*z, w - 14*z = -17*z + 1426. What are the prime factors of w?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 5*q**2 - 9*q - 3. Let r be s(-6). Let h be (-6)\/(-33) - r\/(-99). Which is the third biggest value? (a) h (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 225, -6, 0 in decreasing order.\nAnswer: 225, 3, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s = 17*s + 1413. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3496 + -3478. Suppose 0 = u - 0*u - 12. Factor -c*t**2 - 20*t**2 + 35*t**2 - u*t.\nAnswer: -3*t*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - i**2 + 2*i + 71. Let k be l(0). Let q = k - 77. Let g be 1911\/63 + 2\/q. Calculate the highest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28820, -28839, -28876, -28937, -29028, -29155?\nAnswer: -29324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 870.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 1, x: 2, y: 3, u: 3}. Give prob of sequence uyu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 4*p + 2*p)*((-3 - 1 + 2)*(1 - 2 + 3) + 1 + 3 - 1 + 0 + 1 + 0 + 1 - 7 + 1 + (3 - 3 - 2)*(1 - 1 - 1) + 0 - 3 + 1).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 + 3*p**2 - 16*p - 13. Let j be b(-10). Let y = j - -2262. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*20\/(-1040)*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**5\/20 + 17*v**4\/12 + 11*v**3\/6 + 4*v**2 - 36*v. Is i(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0.04, 14\/3, -2\/19, 0.5 in descending order.\nAnswer: 14\/3, 0.5, 0.04, -2\/19, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -3\/32, 1447986?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1836 (b) -0.09 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 4:33 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 4*z - 58. Let l be u(-6). Let v(g) = 8*g**2 - 1. Let h be v(-1). Find the first derivative of 0*m**2 + 2 + h*m**l + m**2 - 10 wrt m.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 75*p**6 + 9*p**3 - 61*p**2. Let w(d) = 37*d**6 + 4*d**3 - 31*d**2. Let o(z) = 4*s(z) - 9*w(z). Find the third derivative of o(c) wrt c.\nAnswer: -3960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 0*b - 1\/16*b**6 - 9\/32*b**4 - 1 + 1\/8*b**3 + 0*b**2 + 9\/40*b**5. Find a, given that c(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544634 is divided by 93.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*k - 2, -3*p - 11 = 62*k - 61*k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*6*sqrt(15)\/sqrt(3))**2 + 5 + -3.\nAnswer: 6482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 - -13. Let a = d + 94. Calculate the remainder when a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -22 (b) -9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + u + 25 = 2*u, -4*y - 4*u + 36 = 0. Suppose 0 = -4*k - 3*d + d + 10, -13 = -k + 3*d. Is k <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 948856*j**2 - 948993*j**2 + 0*j in the form d*j + o + b*j**2 and give b.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -242415?\nAnswer: -242423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48779 - 20082. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 19*g + 12. Let b(a) = -9*a - 5. What is 9*b(i) + 4*c(i)?\nAnswer: -5*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 801396.9 grams?\nAnswer: 0.8013969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9530 and 7970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(108) - -1*(2 + sqrt(108))) + sqrt(108) + sqrt(108) + 2*sqrt(108) + 1)*-5 + 4)**2.\nAnswer: 3960*sqrt(3) + 97320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 4*i. Let v be (-4)\/(-16) + 35\/4. Let g = 4 - v. Give s(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36791, -35934, -34503, -32492, -29895, -26706, -22919?\nAnswer: -18528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3.2431797 microseconds?\nAnswer: 0.00000000090088325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i + 2. Let w(o) = -2*o + 1. Let u(s) = 9*s - 2. Let j be u(1). Calculate j*w(t) - 2*a(t).\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -88\/13? (a) 0 (b) 2\/11 (c) 0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + t**2 + 2*t**2)*(2*t - 1 + 1 + (-3*t + 4*t + 0*t)*(-1 + 0 - 1) + 2*t - 5*t + t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, c: 13}. Give prob of sequence yc.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 - 16\/10. Let w = -2.91 - -2.81. Which is the closest to -0.2? (a) w (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(-1\/6))\/z*z)\/(z\/(z*z*(z\/(z**15*z)*z)\/z*z)))**(-8\/9))**(-18\/5) assuming z is positive.\nAnswer: z**(-568\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.163 + -0.2651. What is w rounded to 3 decimal places?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/(-12) - 8\/(-32). Let q = -1 + 4. Solve 0 = -4*m + q*p + 23, s*p + 1 = 2*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*k**4 + 1929 - 1929)*(-2*k - k - k - 172 - 8*k + 172 + k + 3*k - 5*k + (k - k + k)*(1 - 2 - 1)).\nAnswer: -390*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*o, 2 = o + 3*q - 7. List the prime factors of (o + 24\/(-10))\/((-1)\/(-235)).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2. Let o(v) be the second derivative of v**3 + 3*v. Determine a(o(j)).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 129*i**2 - i + 2 + 9*i - 125*i**2 - i**3 - 4*i. Let r be 3*20\/105 - 93\/(-21). Calculate t(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101980 is divided by 20370?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6681774 to the power of 1\/2, to the nearest integer?\nAnswer: 2585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008952 rounded to 7 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3397554 is divided by 2526.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from zzzzmzzwzmwzzzilwzz?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**3 + 10*q + 29*q**3 - 10*q - 18*q**3 + 26*q**2.\nAnswer: -2*q**3 + 26*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7433 + 7482. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1db57 (base 14) to base 13.\nAnswer: -2897b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-6)*21\/(-294) - 28158\/96824\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (56\/7)\/(-1 - -3). Suppose 0*f - 2*f - 4*k + 78 = 0, -o*f + 4*k = -132. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -17, -37, -65, -101?\n\"Answer: -4*w**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-38)\/4 - 1)*-2. Suppose -4*g + 51 = -7*g. Let c = g + n. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-175)\/(-14))\/(20\/15605) - (-2)\/(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -8 - 1) + 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-1)\/(-2) - 6\/4). Let u = -45 + 44. Let f be (-5)\/(u\/3*3). Calculate the greatest common factor of t and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73050 is divided by 109?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250 and 134875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -1949*s**6\/3 + 268*s**3 - 2015. What is the third derivative of g(j) wrt j?\nAnswer: -233880*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29978046 and -191643.\nAnswer: 29786403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13012213023 (base 4) to base 10.\nAnswer: -1862091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 27, 3, -4\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 - -131. Solve 3*x - d = -0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4169, -0.2, 0.5, 0.342 in descending order.\nAnswer: 4169, 0.5, 0.342, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 16, -2, -1 in descending order.\nAnswer: 16, 6, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 - 2*w**2 - 7*w + 2. Let f(o) = 5*o**3 - 7*o**2 - 19*o + 7. Give 2*f(c) - 7*u(c).\nAnswer: -4*c**3 + 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, -0.5, 7\/41?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 233799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27477 take away 0.06?\nAnswer: -27477.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413651915.\nAnswer: 5, 82730383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -260*c - 3. What is the tens digit of y(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 + 2*y - 5. Let r(f) = -f**2 + f - 1. Calculate -2*r(n) + w(n).\nAnswer: -2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1089, 2128, 3167?\nAnswer: 4206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 4. Let h be l(4). Solve d + 2*k - 7 = h, 5*k - 19 = -4*d - 0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -1808, 1 in ascending order.\nAnswer: -1808, 1, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 + 141682583.\nAnswer: 141682583.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 7\/5 + 1. Let y = -0.07 - -0.07. Suppose 4*c - 6 = -2*h - 4, 0 = -c - 2. What is the second smallest value in h, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1607 + -0.2393. Which is the nearest to 0.1? (a) -2 (b) 1\/35 (c) 5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -37*q**7\/7 - 85*q**3\/3 - 30. What is the third derivative of j(i) wrt i?\nAnswer: -4440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 22 = -4*o, 4*c + 29 = 7*o - 2*o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307323 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 6*n**2 + n - 1. Let g = -29 + 43. Calculate the remainder when s(-7) is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 133, 500, 1253, 2530, 4469, 7208?\n\"Answer: 23*i**3 - 14*i**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*x + 620 = -44*x + 75*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21054 - -21085. Solve 37*j = d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*z - 27*z**3 - 59*z.\nAnswer: -27*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (6 + -3 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 + 60. Let r = t + -65. Let q = r + 149.9999862. Round q to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181 + 181. Suppose 5*c - 23 - 102 = q. Does 25 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132 divided by -53894?\nAnswer: -1566\/26947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**2 - 77*t**4 + 3*t + 78*t**4 - 2*t to the form z*t**2 + v*t**3 + l*t**4 + g*t + m and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 2*f + 2*f)*(-f + f**2 + f) - 2131 + 181*f**3 + 6762 - 183*f**3.\nAnswer: -5*f**3 + 4631","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.35925862 to four dps.\nAnswer: -0.3593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 2520?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 288854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 4. Let h(j) = -7 + 146*j + 0 - 149*j. Give -5*g(q) + 3*h(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 3) in base 7?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1029726 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 191.346 - 0.346. Let q = w + -190.9. What is the closest to 12 in q, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 7*f**2 + 4. Let x be s(-7). Suppose 0 = a - 0*a - 4*b - 2, 0 = 5*a + 5*b - 35. Is 17 a factor of (-68)\/(-2)*a\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quqoqoiioyyqiyw. Give prob of picking 1 i, 2 q, and 1 w.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366746081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*c - 73 - 15 = 80 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/(-189) - -2 - (-3710)\/(-1225).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 293762960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 155, 160, 167, 176, 187, 200?\n\"Answer: w**2 + 2*w + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86705093653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-1)\/18*(-6)\/(-9)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32187 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 44. Let o(q) = q**3 + q**2. Suppose u = 3*u. Let p be o(u). Solve p*f = -f - a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 9. Let w be k(20). Solve -w*q - 9 = -14*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 2*t + 14 = 0, -5*u - 24*t + 21*t = -5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 533 = 4*d - 27, 0 = -4*y - 5*d + 1025. What are the prime factors of y?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1126.55159 rounded to the nearest integer?\nAnswer: -1127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -892 and -0.1.\nAnswer: -892.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -2)*(-10)\/(-4). Let c be (-2 + u)*6\/(-7). Suppose -4*j + 3*h - 4*h = -8, 3*j + h - c = 0. Solve -r + j*f - f + 1 = 0, -5*f + 5 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -824*g + 34367 - 10471 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100 and -0.01.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90848366 and 2372020?\nAnswer: 908483660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/(-9) - ((-38)\/18 + 2). Let m be (-13)\/((-520)\/(-24)) - (-48)\/u. Solve -6 = -5*i + m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 40 = -0*z. What is the smallest common multiple of (-44)\/z*5\/1 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.018.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038060.\nAnswer: 2, 3, 5, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5036394350 rounded to the nearest 1000000?\nAnswer: -5036000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 4.2 (b) 1 (c) 0.1 (d) 3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1010*b**2*n + 11*b**2 - b*n**2*z - 6*b*z + b wrt n?\nAnswer: 1010*b**2 - 2*b*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*v - 6 - 102. Let g = 49 - 31. Calculate the remainder when g is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(266\/57 - 5). Which is the second biggest value? (a) 1\/127 (b) -1\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 766\/8 - (-6)\/(-8). Let r be j\/7 + 9\/21. Let c = 38 - r. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 - 5*g - 833. Let h(r) = -71*r - 1. Give h(d(l)).\nAnswer: 142*l**2 + 355*l + 59142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Find h, given that -2*h**3 + 0*h**3 + z*h**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 1\/2*u**2 - 51 + 0*u. Let f(v) = -2*v - 1. What is f(n) + 3*k(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*25\/(-13125)*(-500)\/(-175)?\nAnswer: -4\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/2 - 5253*a\/2 + 10530 = 0.\nAnswer: -1755, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/28 - (-1)\/4. Let q(b) = 2*b + 2. Let j be q(f). Suppose r + 5*t - j = 11, -5*t - 33 = -r. Calculate the remainder when 64 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140776 + 722267.6\nAnswer: 863043.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.005 - 382.005. Let d = -383 - f. Which is the closest to 1? (a) -1\/33 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 177\/126 + (-32)\/(-336). Let a be (-3 - 20\/(-8))\/((-2)\/4). Let u be (-8)\/6*(-3)\/22. Put p, a, 0, u in decreasing order.\nAnswer: p, a, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 33*m**2\/2 - 6. Let a be u(10). What is the highest common factor of a and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 14) to base 7\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-4 + -5 - (-1 + sqrt(162)*-2)) + -6*(-1*-3*(sqrt(162) - (sqrt(162) - (sqrt(162) - (sqrt(162) - (sqrt(162) + 2) - sqrt(162))))))**2.\nAnswer: -35212 - 3906*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 + 8*k - 4. Let u(g) = g**3 - 5*g**2 + 3*g - 2. Let f be u(4). Let l = 4 + 3. Let h(c) = -6*c**2 + 9*c - 5. Determine f*h(m) + l*b(m).\nAnswer: m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -245224624, -490449251, -735673878, -980898505, -1226123132?\n\"Answer: -245224627*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.12 - 9.28. Let k = 5.2 + n. Let z = k + -4. Round z to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/8 and (2355\/(-126))\/(-5) + (-4)\/2.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*q - 4*q. Let t be q*(-4)\/2 - -3. Suppose 5*l - t - 14 = 0. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 - (32 + -100) - 10?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39093.\nAnswer: 3, 83, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.036*-56.\nAnswer: -2.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1405558.\nAnswer: 2, 7, 11, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 - 86.999899. What is f rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 395 = -277. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + c + 16 = 0, -4*y + 44 = 10*c - 14*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let s(r) = 43*r**2 - 14*r**2 + 45*r**2 + 16*r**2. Calculate s(k(v)).\nAnswer: 90*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*b - 63939 = 0, 12*x - 17*x + 63947 = -2*b. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + d**2 - 12*d - 12. Let b(l) = 2*l + 1. Let k(h) = 6*b(h) + x(h). Let y be 9\/15 + (-12)\/20. Determine k(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251 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: Let a be (-4)\/14*126\/288 - (-38)\/(-80). What is the closest to a in -0.016, 0, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 262921078 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (63*s - 107*s - 4*s**2 + 57*s)*(-6 + 12 + 8) as j + l*s**2 + a*s and give l.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 10. Let y(f) = 5*f. Calculate y(o(i)).\nAnswer: -5*i + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9bb4d0d + -1?\nAnswer: -9bb4d10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01664 rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**8\/672 + 3*i**7\/140 + i**6\/12 + 2*i**5\/15 + i**4 - 18*i**2. Let x(h) be the second derivative of y(h). Factor x(k).\nAnswer: 2*(k + 1)*(k + 4)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.722953 rounded to one dp?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-96)\/(1 - 5). Let k be (t\/(-2 - 2))\/(-1). Solve o - 2*h = 2*h + k, 5*h + 25 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2)*(1 + 6). Let h = o + 1. Calculate the remainder when h is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(175) - -4*sqrt(175) - sqrt(175)) + 2*(sqrt(847) + 0))**2.\nAnswer: -84*sqrt(7) + 12349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 558274777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 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: Find the second derivative of -p**3 - 12174484*p**2*x**2 - 69664324*p - x**2 wrt p.\nAnswer: -6*p - 24348968*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 527\/9 - 601\/18. Find the common denominator of 11\/464 and m.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.027*5558\nAnswer: -150.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/3 - 578*q\/3 - 7052 = 0. What is q?\nAnswer: -246, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1160\nAnswer: 1\/1160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 27791.6 to the nearest one hundred.\nAnswer: 27800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14238 and 4399542.\nAnswer: 4399542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(7\/(-224))*(5\/80)\/((-2)\/(-16)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6261 not equal to 6378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.86 + 0.16. Let f = -1.3 + m. Which is the smallest value? (a) f (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 259 = -269 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 826796.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 28813 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, 205, 1353, 3343, 6397?\nAnswer: 10737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262 take away 0.32?\nAnswer: 1261.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 12\/7*r + 1\/7*r**2 = 0 for r.\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9044 + 9048. Sort -2\/3, 69, c, -0.3 in decreasing order.\nAnswer: 69, c, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.635 + -14.835. Which is the closest to 3\/5? (a) -1\/8 (b) w (c) -3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 651 - -987. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*r - 210*r + 125*r + 29*r + 26*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - ((-3 - 22) + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l - 2. What are the prime factors of ((-6)\/l)\/(-3)*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + d**2 + 3*d + 3. Determine m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.7. Which is the second biggest value? (a) x (b) -3\/5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 296 - 28625863\nAnswer: -28625567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60\/23 + 811\/161. Calculate the common denominator of 26\/221*(-164)\/8 and h.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -571848 or -571843?\nAnswer: -571848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**5 + 3 - 3)*((-4 + 2 + 0)*(-3 + 3 - 9) + 3 + 0 - 4).\nAnswer: -17*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-3)\/(1 - 4). Let q(x) = -3*x**2 - x + 9. Let n(h) = h**2 + h - 5. Let u(z) = -5*n(z) - 2*q(z). What is u(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101655 + 56?\nAnswer: 102044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (2 + -10 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -6 - (-5 - -1) - (-52 + (-4 - 7))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*h**2 + 126*h - 369*h**2 + 214*h**2.\nAnswer: 2*h**2 + 126*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.34222 and 10868871.\nAnswer: 10868874.34222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 311112611 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 143695 divided by 145?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 8, 25, 50, 83?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3 + 187*h**2 - 4414*h - 9568 = 0.\nAnswer: -208, -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 134*x**2 - 15*x - 610. What is the units digit of f(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 2*p**2 - p**4 + 4*p**4 + p**3 + (0 + 1 - 4)*(-4*p**4 + 2*p + 6*p**4 + 7*p).\nAnswer: -3*p**4 + p**3 + 2*p**2 - 27*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/3 - 358*f**3\/3 + 376*f**2\/3 + 952*f - 1440 = 0 for f.\nAnswer: -180, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u - 7. Let n be j(-5). Let y(v) = 8*v**n + v**2 + 4*v - 8*v**3 + 11 - 6*v**3 - 6*v. Let x be y(9). Round x to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/((-200)\/15)*(5 - 1). What is the hundreds digit of (-1860)\/(-9) - ((-8)\/(-3) - i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173856*p - 173861*p + 129151 - 129151 + 347723*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 175746957 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(81) - 5*(2*sqrt(81) + sqrt(81)) - sqrt(81))\/sqrt(3)*-2)\/(sqrt(9)*-3*-6 - sqrt(225)*-6))**2.\nAnswer: 75\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3))**(2\/109)\/(f\/f**7*f\/f**(-7)))**(12\/19) assuming f is positive.\nAnswer: f**(-2624\/2071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9*y - 13. Let z be s(-2). Let t = 4 - 3.5. Which is the closest to 1\/4? (a) z (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19031 + 351 - 9620 = -383*p - 17814 for p.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1894 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 111176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -o - 137, -5*d - 2*o + 62 = -3*d. Suppose -6*f + d = -2*f. What is the remainder when 19 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109242544?\nAnswer: 2, 17, 401627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*a + 8. Let s(f) be the second derivative of -f**5\/10 - f**4\/4 + 2*f**3\/3 + 44*f. Let m(g) = -4*g**3 - 7*g**2 + 9*g. Calculate a*m(u) + 9*s(u).\nAnswer: -2*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7035, -3, -5986 in descending order.\nAnswer: 7035, -3, -5986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i - 40. Let r be t(9). Suppose 18 = k - r*v, 3*k - 98 - 12 = v. Calculate the remainder when 150 is divided by k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 87 + -1?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4988125013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*x = -7*x - 31, 2*x = -5*d + 14. Suppose 1 = -2*s - 2*m + 3*m, 3*s = 2*m - 2. Solve -4*t + 0*w + 3*w = -32, 2*t - d*w - 26 = s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011110001100110110011 (base 2) to base 16.\nAnswer: 6f19b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 8*p + 4. Let j be h(-7). Let s = 7 + -4. Let v = 1.31 - 0.31. Which is the second biggest value? (a) j (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, 6\/5.\nAnswer: -3, 0.4, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -572*k**3 - 4*k - 4. Let i(a) = 184184*a**3 + 1287*a + 1287. Give -4*i(c) - 1287*z(c).\nAnswer: -572*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 106*d**2 + 304*d + 200.\nAnswer: 2*(d + 1)*(d + 2)*(d + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgs when three letters picked without replacement from pppgqvqpsppqgsqs?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2451166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*j + 3252*j - 267*j in the form k + w*j and give w.\nAnswer: 2915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*q = -15, -4*w - 3*q + 2 = -8. Let s be -6*w\/(-6)*2. Solve 4 = s*b - 3*t, -4*b + 18 = 4*t - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 40 = 7*v + 3*t, 5*v - t = 40. Calculate the least common multiple of 20 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2735, 2759, 2783, 2807, 2831, 2855?\n\"Answer: 24*j + 2711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -4, 0.3, -1\/4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 6. List the prime factors of ((-10)\/(-4))\/(l\/4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = 32 - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1032834 (base 9) to base 3.\nAnswer: -1001002221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 438 by -146.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*f - 6 = 0, 0 = -4*u - 0*u - 3*f - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -0.9. Let o = 0.2 + f. Let k = -0.5 + 1.5. What is the second biggest value in -5, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f39dd (base 16) to base 15.\nAnswer: -14a9d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-4)*4\/(-3). Suppose -4*n = -s - 4. Suppose 0 = -4*p - 2*l + 59 + 81, 74 = n*p - l. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**6\/180 - 61*y**3\/6 - 27*y**2. Let v(z) be the first derivative of i(z). Let h(o) = o - o + o + 0. Calculate v(h(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23905 divided by 4781.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + n - 1. Let f be x(-2). What is the units digit of f\/(-3) - 4\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*b - 1367*b = 14*b + 603*b - 69832 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 357541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138 - -256. Let q = h + -113. Let s = 44 - 45. What is the third biggest value in q, -2\/17, 4, s?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*l + 6*l - 30 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*z**4 + 55*z**2 - 55*z**2)*(-5 + 0 + 4) as v*z + y*z**2 + t*z**4 + d*z**3 + g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -175 (c) -0.2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -422.3693 - -387.47228. Let i = -34.9 - u. What is i rounded to 4 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (1 + 0 + -2). Let c be 42 - 37 - 6\/2. Is 4 + (705 + p - c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15419 and 6817.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-27)*(z**(2\/3)\/z*z)**(-4\/5))**43 assuming z is positive.\nAnswer: z**(-344\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -74*l**3 + 148*l**2 + 14*l - 28. Calculate w(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 6*l + 5. Let b be h(-5). Suppose b*i - 4*i = 132. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 488 + -177. Let l = 211 + z. List the prime factors of l\/(-6)*4\/(-6).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628174949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4055 = -13*a + 6*a + 7908. What is the remainder when a is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880 (base 14) to base 4.\nAnswer: 122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19074 + -19058. Solve 18 = -p*i + 25*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1977, 1444, 907, 360, -203?\n\"Answer: -g**3 + 4*g**2 - 538*g + 2512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -539*v**2*x + 888*v**2 wrt x.\nAnswer: -539*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 3246*y + 3243.\nAnswer: 3*(y - 1081)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17314, 18975, 23482, 32257, 46722?\nAnswer: 68299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 4*o - 5*o + (0*o + 2*o + 2*o)*(1690 + 89 + 304).\nAnswer: 8331*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(396)*2 + -2 + 3 - ((sqrt(396) + 1)*5 - sqrt(396) - (sqrt(396) + 1 + 4)))**2.\nAnswer: -12*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2 - (3 + -2)). Let s(k) be the third derivative of 0*k**3 - 2*k**2 + 1\/8*k**4 + 0 + r*k. Let t(q) = q**2. Give s(t(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 1. Let k(u) = u**3 + 12*u**2 - 11*u + 21. Let d be 1\/(15\/(-39)*1\/5). Let w be k(d). Let c(s) = -4*s**2 + s - 8. Determine w*h(x) - c(x).\nAnswer: -x**2 - x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 714985159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3298738 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 537775308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -8. Suppose -2*x = -4*a + 86, -2*x - 6 = 4. Suppose 5*v = 2*o + 65, -v - 4*o + a = -16. Solve -v = d*l - 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 less than -10?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*y + 79*k - 82*k, 3*y - 52 = -5*k. Let o = 2\/33 - 46\/33. Which is the biggest value? (a) y (b) 0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55390107.4 to the nearest 1000.\nAnswer: 55390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1. Let z(a) = a**2 - 6. Let v(n) = -5*f(n) + z(n). Let x(y) = -y - 1. Calculate v(l) - x(l).\nAnswer: l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6*w**2 - 3)*(0 + 0 - 6*w)*(-12*w**2 - 45 + 6*w**2 + 44).\nAnswer: -216*w**5 - 36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 716.92175 to the nearest 10.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 21. Let m(c) = -2*c**2 + 6 + c**t + 26 + c**2 + 10. What is the tens digit of m(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 0.5, -0.4, -51?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31637637.\nAnswer: 3, 29, 43, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6648)\/42 - (-9)\/(-3). Let j = -161 - i. Which is the closest to j? (a) 4\/7 (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, o: 8, j: 2, w: 1, f: 3, d: 1}. What is prob of picking 1 e and 1 o?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2526, 2890, 3496, 4344, 5434?\n\"Answer: 121*j**2 + j + 2404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 9*n**2 - n - 22. Let i be w(-9). Let z = 15 + i. Suppose 3*h = -3*g + 258, 6 = -2*h + z. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17084 - 158519 = 2245*v for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.955 + 33. Let j = d + -0.145. Let m = 0.05 - -0.95. Which is the third biggest value? (a) j (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (11950\/36)\/(-25) - -11 and (-2)\/(-8) + (-31)\/(-132).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2 = -13. Let v be (4\/(-16) - (-5)\/4)*n. Suppose -2*f = 5*h + f - 258, 5*f + 148 = v*h. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11 - 24 = 0. Let v(i) = -i**2 + 3*i + 33. Let w be v(f). Solve 20 = -10*c + w*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1. Let b(a) = 8*a - 10. Calculate b(u) + 8*y(u).\nAnswer: 8*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 30 = 3*g, 34 = 4*k - 12*g + 13*g. Calculate the remainder when 53 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 381*n**2 + 2 + 381*n**2 + 3*n**3. Let v be (2 - -1)*12\/(-18). Let d(l) = -12*l**3 - 9*l - 8. Determine v*d(c) - 9*z(c).\nAnswer: -3*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*o = 29, -40*o + 20*o + 172 = 5*r - 13*o + 183 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*w + 56, y + 22 = 3*w - 8. Solve 4 = -3*f - w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5) + 5 + sqrt(300) + sqrt(300) + 2)**2 + (((sqrt(5184) + sqrt(36))*-6)\/sqrt(12))**2.\nAnswer: 294*sqrt(3) + 19624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**3 + 4*k**2 + 4*k + 1. Let s(y) = -13*y**3 - 7*y**2 - 7*y - 2. Let n(c) = -4*s(c) - 7*u(c). Find the first derivative of n(g) wrt g.\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482676.8 weeks to microseconds.\nAnswer: 291922928640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145795811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 n when four letters picked without replacement from {e: 2, f: 5, n: 3, w: 1, i: 7}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-14)*(-4)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**2 + 1 - 1)*(4 - 5 + 2)*(-12*k + 12*k - 92*k) to x*k**2 + v*k**3 + r + a*k and give v.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32651515636 - -27590537300038\/845. Let s = z + -7796. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + 1. Suppose 4*s - 4 = -u, -2*s = -2*u + 7*u + 16. Let x be d(s). Calculate the greatest common factor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 10*s - 5. Calculate d(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**6\/15 + 31*g**5\/5 - 49*g**4\/6 - 232*g. What is the third derivative of m(y) wrt y?\nAnswer: -48*y + 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -2\/9, -9 in increasing order.\nAnswer: -9, -2\/9, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 2 (c) -0.02 (d) -35.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(27) + 2)**2 + (2*sqrt(30))\/sqrt(10) + 2 + sqrt(3) + 0.\nAnswer: 15*sqrt(3) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 71*x + 341. Let r(t) = t. Give h(r(w)).\nAnswer: 2*w**2 + 71*w + 341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2 + 2)*(-43 - 43 + 17)*(-89 - 15*i + 89).\nAnswer: 2070*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 19a813 (base 12) to base 3\nAnswer: 212001122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4046 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 1. Suppose p + 1 = -2. Let z(c) = c. Let t(n) = p*d(n) - 2*z(n). Let r(h) = h + 4. Let o be (28\/10 + -2)*(-2 + -3). Give o*r(f) + 5*t(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -24*2\/16*6. Let r be 3\/t + 1\/6. Solve 3*k + 15 + 0 = r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.11715041 and 166?\nAnswer: 166.11715041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 6:57 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/2*4\/(-8). Let n(l) be the second derivative of -l - 1\/4*l**5 + 0 - 1\/12*l**4 + 0*l**2 + 0*l**3. What is n(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7170479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 50744448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 2\/3, -2\/7, 1\/5, -24, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40766 - 40764. Suppose -v = 22 - 4. Let n = 4 + v. Is g greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 14) to base 7.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160163.757 nanoseconds in days?\nAnswer: 0.0000000018537471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-4*u - 4*u + 30*u)*(-7*u**2 + 3*u**2 + 2*u**2).\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7467 - -12457. Suppose 2*x = -2*y + 1988, 5*y + 4*x = 3*x + f. Suppose -4*b - k = -y, -b + 0*b - 3*k = -236. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205494*k + 202659*k + 94955*k.\nAnswer: 503108*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -1 (b) 60 (c) 0.3 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f - 11. Let w(v) = -3*v + 7. Let j(n) = -5*t(n) - 8*w(n). Let r be j(6). Let m = -5 - r. Solve 0*c + 2 = -c, 3*l = -m*c - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 199276138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(504\/(-87)) - (-110)\/(-1320).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 20*d)*(2 - 2 - 2)*(2*d - 2*d + 2*d).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 474a067 - 3?\nAnswer: 474a064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40222 + -40041. Calculate the remainder when r is divided by (-16)\/(-5)*10\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l + 97 = 300 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -604173 or -604164?\nAnswer: -604173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 305, 1760, 4357, 8096, 12977?\n\"Answer: 571*p**2 - 258*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/5 + 122437*z\/5 + 489764\/5.\nAnswer: -(z - 122441)*(z + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 1. Suppose -4 = 4*v, 5*z - v - 26 = -0*v. Let d(j) = -2*j - 3. Calculate z*g(c) + 2*d(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 3*x**2 + x + 3. Suppose 0 = -5*c - 4*c. Suppose c = 4*p + z - 9, -z + 3 = -3*p + 4*p. Let m be y(p). Solve 4*o = 9 - m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4*(0 + (sqrt(648)*-1*-6 - -3*-2*sqrt(648))))**2)*4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-13)\/26*2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 554*s**2 - s. Let a be k(-1). What is the common denominator of (516\/(-36))\/(1\/(-3)*-7) and ((-2)\/(-5))\/((-243)\/a)?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 5*r + 42 = 0. Let k be 3\/r*-1 + 51. Let w = 73 - k. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 182310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27855, 27864, 27873, 27882, 27891, 27900?\nAnswer: 27909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2188522387 rounded to four decimal places?\nAnswer: -0.2189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4575950, 9151889, 13727828, 18303767?\nAnswer: 22879706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -73 (c) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b (base 12) to base 13.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 11*s + 65 = 7, -252*v - 3*s - 9 = -255*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1100011111100 (base 2) to base 16\nAnswer: 18fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142 and 14129.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2684683954 to the nearest integer?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1232*m**3 + 3*m**2 - 3*m**2.\nAnswer: -1232*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14368 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*f + 14 = 0, 0*d - 2*d = -4*f - 16. Suppose -7*s = -d*s - 12. Solve -3*h + 4*h + s*j + 8 = 0, 0 = -4*h + j - 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 6:47 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2\/7)\/t))\/((t*t\/(t**(2\/7)\/t))\/t))\/(t**(2\/7)*t*t\/(((t\/t**(-4\/5))\/t)\/t)*t) assuming t is positive.\nAnswer: t**(-102\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v + 25 = 0. What is the second derivative of 6*x + 2*x - v*x**3 - 3*x - 4*x wrt x?\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 60. Let o(h) = 2*h + 75. Let f(n) = -4*o(n) + 5*s(n). Let j(p) = -52*p**2 + 6. Calculate f(j(d)).\nAnswer: -104*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 663 - 2*k - 1294 - 312 + 4*k in the form p*k + q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 - 3 = 0, -4*o + 32 = -c. Suppose 2*a + a = -3*k + 6, a + 4*k = -o. Solve 3*w = 6*w, -a*n = 3*w - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -56.08. Let s = -1 - -1.08. Let r = f + s. Which is the smallest value? (a) -4\/5 (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -5212\nAnswer: 1563.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.065139 + -0.6?\nAnswer: 9.465139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/(195\/(-55))*(-6)\/8. Is 2 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161 + 176. Let p = y - 14.9456. Round p to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 432322, 3458988, 11674236, 27672358, 54047646, 93394392, 148306888, 221379426?\n\"Answer: 432382*z**3 - z**2 - 5*z - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36\/35 + 3\/5. Let t(q) = q**2 + 6*q - 7. Let f be t(-7). Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -3*w + 13. Let a be w\/30*(-905)\/58. Let b = -162\/29 + a. Find the common denominator of 71\/22 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*b + 5, b - 3*d + 10 = -0*d. Suppose b*u - 3*t = 57, -3*u + 45 = u - 3*t. Calculate the greatest common divisor of u and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -8*r + 3 - 1\/2*r**2. Let b be m(-10). Solve b*q = 3*p + 3, -7 = 2*p + 3*p - 4*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -251 + 256. What is the nearest to -1\/4 in f, 0, -49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6\/7 (b) 0 (c) 13 (d) 0.2 (e) -42.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 209 + -2297\/11. Which is the nearest to -1? (a) -1 (b) -13 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.88461174837 - 0.2\nAnswer: 0.68461174837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1057 + -1016. Is y greater than or equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -a1a054 (base 13) to base 11\nAnswer: -2140661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-15*p + 28*p - 3*p)*(0*p**2 + 2*p**2 - 3*p**2).\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1177, 1007, 483, -593, -2419, -5193?\nAnswer: -9113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:57 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*k = -27*k - 2002760. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 1:28 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let l = 6 + -10. What is the nearest to q in -3, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 4) + 1 - (-1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 178775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1729147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -67188 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + a4?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70 + 3\/(-6)*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 17*o**4\/6 - o**2\/2 - 2789*o. Let x(j) be the second derivative of j**4\/6 - j. Give g(x(t)).\nAnswer: 136*t**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0451, -2, -2\/53413, -1 in increasing order.\nAnswer: -2, -1, -2\/53413, 0.0451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17466d (base 15) in base 13?\nAnswer: -306994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*q + 2*q - 24, 3*f + 2 = 2*q. Suppose -30 = 3*t + f*t. Let l be (-3)\/t - 6\/20. Put -3, l, 0.4 in ascending order.\nAnswer: -3, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/6 - 3*a\/2.\nAnswer: -a*(a + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*n + 347*n + 101*n + 493*n.\nAnswer: 644*n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*k - 4 - 35 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -14706935\/3 != -4902311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 494876939?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -26*o**2. Let p(v) = -13*v**2 - 3. Let f(q) = -1. Let a(z) = -3*f(z) + p(z). Give 5*a(c) - 3*y(c).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 + 11*s + 6. Let y be n(4). Let l be y\/(-11) + 47320\/110. Let v = -303 + l. What are the prime factors of v?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*o - 49 = -3*a, -2*o = -4*a + 34. What is the least common multiple of a and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*n*u + 4045*n + 485*u - 45 wrt n?\nAnswer: 6*u + 4045","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 12. Let m be s(0). List the prime factors of ((-8)\/(-6))\/((-2)\/m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m - m + 0*m - 3*m. Determine d(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**2 + 274*x + 757. Determine k(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 10:10 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (484\/(-165))\/(-22) - (-94)\/(-30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42086)\/319 - (-4)\/(-58). Is -130 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182232*x**4 + 19*x - 4498.\nAnswer: 2186784*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.31709594 - 6.317. Round n to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 0.3, -2, -3, -5\/3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -135, -286, -445, -612, -787?\n\"Answer: -4*c**2 - 139*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*c - 132. Solve c*q - 35*q + 9 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -240867 (b) 2.7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5901988 is divided by 113.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3494 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 590*v**3 - 585*v**3 - 10 + 18 + 15 in the form x*v**3 + s*v + b*v**2 + y and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 55.1703+0.2\nAnswer: 55.3703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42683 - ((-4)\/5)\/(2\/15*-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/28618 and -89\/32.\nAnswer: 457888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 - 3*h + 2*h**3 + 0*h**3 - 13*h**2 + 7*h**2. Let f be c(-2). Let d = f + 81\/8. Find the common denominator of d and 27\/74.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 15*y + 13. Determine u(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17372829?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 26*o = -5*h + 277915, -4*o = 4*h - 222296. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 11 (b) 1\/5 (c) 0.1036 (d) 1.4 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88 - -5 - 6) + -5 + 43 + -18 + -36?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/((-5)\/(-35)*7).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 62, 1\/3, 0, -5, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 9*m**2 + 9*m + 1. Let g be h(-6). Suppose -g = -12*l + 7*l. Factor l*u**3 + 5*u**2 - 5*u**3 - 2*u - 7*u**3 - 2*u**4.\nAnswer: -u*(u - 1)*(u + 2)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 0, 5, 1323 in decreasing order.\nAnswer: 1323, 5, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -275 or -22\/71?\nAnswer: -22\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (39 + -58 + 19) - 87?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-14))\/1 + 12\/(-84)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 1\/20*d**5 - 2*d**2 - d - 3\/2*d**3 + 2\/3*d**4 + 0. Let v be i(-9). Sort -5, -2, v in descending order.\nAnswer: -2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 3 - 1) + (-3 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*u**3 - 18*u**3 + 2305*u + 2*u**2 - 1262*u + 6*u**3 + 3178*u to l*u + h + z*u**2 + v*u**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**2\/3 - 1112*m\/3 - 7820 = 0.\nAnswer: -255, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 586 + -587. Let s = 918 - y. Calculate the remainder when s is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*t**2 + 1660779*t - 4573194 wrt t.\nAnswer: -8*t + 1660779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 369000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 7*u**2 - 3*u. Let y be b(-6). Let o be -6 - 9\/(y\/20). Put 3, -3, -4, o in decreasing order.\nAnswer: o, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 e when four letters picked without replacement from netnnnnnvvnvtevintn.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 45, 47, 49, 51, 53?\n\"Answer: 2*a + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1. Let k(w) = 14*w**3. Let i(h) = -k(h) - 12*z(h). Find the first derivative of i(v) wrt v.\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l**3 + 4*l**2 + 5*l - 7. Let f be s(2). Suppose -3*x + 4*z + f = -445, -4*z = x - 176. Calculate the highest common factor of x and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = -141*p + 108*p - 116 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 5*p - 6 = 0. Let g be -47 + 89 - (0 - (p + 0)). Solve -4*x + 5*a = -g, 6*x - x = 4*a + 45 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t - t**2 - 2 + 45*t + 2.\nAnswer: -t**2 + 56*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/6)*c*c*c*(c\/c**8)\/c)\/(c**(-7)*c**(-3)))\/((c*c\/(c\/c**11))\/c*c\/(c*c\/(((c*c**(-6))\/c)\/c)))**(-12\/11) assuming c is positive.\nAnswer: c**(557\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 43872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13650 - -13653. Sort -0.5, 32, -3\/4, w.\nAnswer: -3\/4, -0.5, w, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6864\/(-260))\/(3\/(-5)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z. Let n(t) = 2*t - 3. Let y be n(3). Let h(x) = -y*x - x - 4*x + 5*x. Calculate h(r(o)).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-4))\/((-120)\/(-192))*(-2)\/2148\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3903063257?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 10*t + 2*t + 0*t.\nAnswer: -4*t**3 + 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 126 + 116 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20707 = 5884*x - 61669 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1220)\/61 + (-1179)\/(-63)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145 + -84. Suppose -135 - a = -4*t. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89382513 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 154*s**2 - 4073*s + 281. Calculate u(177).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14303 = -1922*v - 20293 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-544)\/(-120))\/(2 + (-64)\/20) and -57\/854.\nAnswer: 7686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -42 + 37 - (-28)\/6. What is the third biggest value in -5, -0.25, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 - 1)*(3*o**2 - 3*o**2 + 2*o**2) + o**2 - 4*o**2 + 2*o**2 + (5*o + 2*o - 4*o)*(-4*o + 2*o - o) + o**2 - 1 + 1 to u*o + w*o**2 + s and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6*-3*1. Let t = q + 1. Let w(v) = v**2 - v + 1. Let s(n) be the third derivative of -n**5\/60 - n**4\/24 + n**3\/6 - n**2. Calculate t*w(b) + s(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3456080)\/(-32)*((-6)\/2 - -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3451858 and 0.4.\nAnswer: -1380743.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14573 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -58*x + 2. Let l be m(-1). What is the highest common divisor of l and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 4*t**2 + 4*t - 16. Let a be r(4). Factor -98*l - 2*l**2 + a*l**2 + 3*l**2 + 48*l + 290 + 335.\nAnswer: (l - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44634 = 4*r - 165518. List the prime factors of r.\nAnswer: 47, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -17*m**2 - 3*m - 9. Let h(y) = -y**2 + 2*y. Calculate -h(r) - z(r).\nAnswer: 18*r**2 + r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37046*x - 28811*x + 13980*x - 21223*x - 13778*x + (1 - 2*x - 1)*(6 - 2 - 3).\nAnswer: -86880*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3. Let o(a) = -4. Let l(b) = -3*n(b) + 2*o(b). Let c(g) = 14*g - 4. Let z(w) = -c(w) - 10*l(w). What is the units digit of z(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 107\nAnswer: 5\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 12, i: 3, m: 2}. Give prob of sequence izi.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5756398 is divided by 1918762.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 319 - 223. Suppose 2*k + 4*z = 32, 3*k + 2*z - 43 - 25 = 0. Let a = l - k. Calculate the highest common factor of 28 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 19*h - 3 + 6 - 14*h**2 - 19 + h**3. List the prime factors of r(13).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 1269?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -517 + 521. Let j(x) be the second derivative of 0*x**2 + 1\/20*x**5 - 1\/8*x**t + 1\/12*x**3 - x + 0. Factor j(y).\nAnswer: y*(y - 1)*(2*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 7*q + 4. Suppose 0 = 5*f - 0*f - 2*m - 86, 0 = -4*f - 4*m + 52. Suppose -5*y - f = -11. Let u = y - -8. What is h(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -5\/24*f**4 + 2*f**2 + 0*f**5 + 0*f + 0*f**6 + 0 + 1\/42*f**7 + 0*f**3. Find the second derivative of p(a) wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2 + 1. Let n = 0 - v. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(8)*1) + 4*(sqrt(5) + 0) + sqrt(20)\/sqrt(64)*3.\nAnswer: 23*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64529\/38088 - -1\/4232. What is the common denominator of 107\/18 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + 4*k - 1. Let p(w) = -12*w**2 + 20*w - 40. Calculate p(t) - 5*u(t).\nAnswer: -2*t**2 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 11 = -3*h + 4*p, 0 = -4*h + 3*p - 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309492.\nAnswer: 2, 3, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1953371 - -1953386.999856. Let c = n - 16. What is c rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*t - 321*t + 161*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h - 342 = 12*h - 89 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 6\/77422699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d + 16. Let j be a(-13). Let m(c) = -30*c - 4. What is the tens digit of m(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/3)\/(f**(2\/27)\/f)*(f**0)**(-8) assuming f is positive.\nAnswer: f**(-11\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -8, 1.177, -924?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -274 + 299. Calculate the greatest common divisor of k and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 54. Suppose 0 = t - 2*t + 1, t = -k*h + 11861. Round h to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/(-10))\/((-1)\/15*9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3263395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -56693, -112203, -167713, -223223, -278733, -334243?\n\"Answer: -55510*d - 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n + n - 2*n + 0*n. Let x(o) = -181*o. Calculate x(k(j)).\nAnswer: -362*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 16 = 16*p. Suppose 0*h = -p*i + h + 3, -10 = 5*i - 4*h. Suppose 0 = -i*k + 7 - 1. Solve -k*l = -4*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.23. Let z = 6.93 - j. Let o = 6.72 - z. Round o to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580482?\nAnswer: 2, 3, 7, 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*5*2\/(-24))\/(17455\/3491)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410 is divided by 346?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 25*z**2 - 4*z + 42. What is i(-25)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooccooooo. What is prob of picking 4 o?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/110*44\/(-36)*4\/((-16)\/438).\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2341308.8 rounded to the nearest ten thousand?\nAnswer: -2340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/a)**49\/(a**0)**(-4)*((a*a**(-1\/6))\/(a\/(a*(a\/a**0)\/a)))\/((a**(-2\/7)*a*a)\/(a*a**(3\/10))) assuming a is positive.\nAnswer: a**(-10246\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28 and 2.388.\nAnswer: -25.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 - p - 2. Let n(s) = -4*s**2 - s - 3. Let g(u) = 2*n(u) - 3*w(u). Let f be g(0). Let d be (5 - 2) + f\/(-4). Solve -d*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265607619?\nAnswer: 3, 2473, 35801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/60 - 5*t**4\/24 + t**3\/2 - 2*t**2. What is the units digit of r(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 73395.\nAnswer: 1174320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 11*t**2 + 2*t**3 - 2*t**3 - 14 - 5*t. What is the remainder when o(-11) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-1)\/(-1) - -5. Suppose 2 = v*b - 26. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-15))\/(-5)*(-6)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31536308?\nAnswer: 2, 7884077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ed + 310ac3?\nAnswer: 310bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 6) + 6 + -1 - (6 + 840\/(-10)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**4*j*j\/j**(7\/4)*(j**(-2\/5)\/j)**(-2\/107) assuming j is positive.\nAnswer: j**(11291\/2140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 5*f + 2*f)*(-4*f**2 + 2*f**2 - 11*f**2)*(-1 + 5 + f - 2).\nAnswer: 26*f**4 + 52*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-7)*w*w\/w**(-3\/10))**(12\/7))**42)**49 assuming w is positive.\nAnswer: w**(-82908\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 5\/3, -25.4458?\nAnswer: -25.4458","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 2*c + 2. Let b be 1 + -1 + -3 + 7. Let o be 204\/33 - (-6)\/(-33). Let g(v) = 2*v**2 + 5 + 0 + v - o. Determine b*g(t) + 3*u(t).\nAnswer: 2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/15)\/(y**(-3\/2)\/y)*((y\/y**(-2\/3))\/y)**40)\/(((y**(-2\/5)\/y*y*y)\/y*y)**(2\/89))**(-48) assuming y is positive.\nAnswer: y**(26653\/890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163\/5, 2, -3, 5, -26, -0.5 in ascending order.\nAnswer: -26, -3, -0.5, 2, 5, 163\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2 - 761*w - 8874. Give s(-12).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 704, 1103, 2132, 4091, 7280, 11999?\n\"Answer: 50*l**3 + 15*l**2 + 4*l + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46849?\nAnswer: 11, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54322?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -218.9 + 219. Let a = 10.5 - 8. What is the closest to -0.1 in a, d, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 12:03 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from otmvmtvo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 2*o**3\/3 + o**2\/2 + 2*o + 19. Let t be c(-1). Find s, given that 0 - s**4 + 0*s**t + s**2 + 1\/2*s**5 - 1\/2*s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -13. Suppose -38 = t*q - 6. Let w = q - -8. Solve 2*m - 1 + 7 = w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -414, -997, -1840, -2949?\nAnswer: -4330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2199414 = -221*p - 139*p + 36186. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -7*p - 9. Calculate the smallest common multiple of p and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g = 223*g + 2226*g. Factor 160*a + 200*a**2 + g + 5\/2*a**4 + 85\/2*a**3.\nAnswer: 5*a*(a + 1)*(a + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 248192 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 19 = -5*g, 0 = 440*g - 441*g - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9442 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**3\/3 - 4*k. Let v(s) be the second derivative of 4*s**3 + s**3 - 4*s**3 + 7*s. What is q(v(b))?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-1 + 66\/54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 282132 and 5814?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*m - m**4 + 2)*(-5*m + 3*m + 3*m - 9).\nAnswer: -m**5 + 9*m**4 - 3*m**2 + 27*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*h*r + 15*c*r*v + c*v + h*r*v - 80*h*r + 2*r*v wrt c?\nAnswer: h*r + 15*r*v + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 36*u - 17. Sort -3\/7, -2\/15, -4, u.\nAnswer: -4, -3\/7, -2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*x - 75, -160 = 53*l - 56*l + 2*x. Which is smaller: 56 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2 + 453*f - 422280 = 0 for f.\nAnswer: -1173\/2, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 129*y**2 + 168?\nAnswer: 258*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and -0.0913530298.\nAnswer: 0.6086469702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42300 and 1128.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 9579*a - 2557*a**3 - 9579*a + 3*a**2.\nAnswer: -2557*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -32*j**3 - 10*j**2 + 12*j. Let z be o(6). What is z rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - u = -0*u - 9, 5*c = -4*u - 27 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/744 and -113\/2046.\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -416.324204 rounded to 1 decimal place?\nAnswer: -416.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 3*m**4\/2 - 4*m**3\/3 - m**2 + 12. Suppose a(q) = 0. Calculate q.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -34, 5016, -2 in descending order.\nAnswer: 5016, 6, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) - sqrt(114)*-2)*-4)\/(sqrt(96)*1).\nAnswer: 13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - -12. Suppose -3*p - i = -r, 0 = 5*p + 3*i - 75 - 101. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 9*c + 7. Let q be i(-3). Suppose q*d = 3*d. Suppose a + 0*a + 5*f - 114 = d, 0 = -a - 4*f + 115. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -568, -1158, -1776, -2428, -3120, -3858, -4648?\nAnswer: -5496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utttcktctccfccf. Give prob of picking 1 t and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53525767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g + 3. Let q be m(3). Let i(d) = -d**2 - 9*d + 3. What is the lowest common multiple of 4 and i(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6) + (73\/33 - 432\/792). Solve 22*q - 24*q + x*t - 6 = 0, 2 = q + t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b - 20*b + 2987 = 3803 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 352772\/(-12306) - (-4276)\/150?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 184, 363, 544, 727, 912, 1099, 1288?\n\"Answer: m**2 + 176*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.92 + -0.08. Let v = -16 - z. Let d = 0.02 - 0.42. What is the third smallest value in 4, v, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.0376195 millennia?\nAnswer: 37.6195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 5*a + 9. Let p be (-10)\/55 + (-68)\/(-11). Let d be (-1)\/3*16*p\/4. Determine b(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -166253, -332505, -498759, -665015, -831273, -997533, -1163795?\n\"Answer: -z**2 - 166249*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/8*2*1. Suppose -5*f - b = -5*x, 3*x = -2*f - x + 24. Calculate the remainder when 4 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8651411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2\/z)**11)**(3\/40) assuming z is positive.\nAnswer: z**(33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11839 smaller than 11842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16945283279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 15. Let i = j + 14. Let c = i + -3. What is the remainder when 7 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.9 + 7.8. Let d = 1 - 0.9. What is the nearest to k in 2\/35, -4, d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 - 0.3. Let t = -3 - s. Let k = -16.1 + 16. Which is the third smallest value? (a) k (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 4:46 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-606*q**2 - 1685*q**2 - 1457*q**2)*(q - 2*q + 3*q).\nAnswer: -7496*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -1.1. Put -0.5, 0.5, p in descending order.\nAnswer: 0.5, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -7*p**6\/15 - p**5\/60 + 23*p**4\/8 + 213*p**2 + 5*p. Find the third derivative of o(m) wrt m.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3415641 divided by -4.\nAnswer: -3415641\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-45) - 4\/((-108)\/(-129)). What is the second smallest value in 2\/91, 1, b?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 + (-42)\/(-9). Let u = z + -4. Solve -5*j = 3*a - 17, u = -2*a - 3 + 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 105*f + 512. Calculate b(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/480774 and 41\/1121806?\nAnswer: 3365418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44.89352l?\nAnswer: 44893.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2446211741.24 from 2.\nAnswer: -2446211739.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**3 + 6625*r**2 + 1854035*r - 233746665 = 0 for r.\nAnswer: -709, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((54\/(-576)*2)\/(5 - 2)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a**2 - 32*a + 14. Let q(f) = 21*f**2 + 95*f - 38. What is 3*q(u) + 8*w(u)?\nAnswer: 7*u**2 + 29*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 288*x + 27858. What is f(-93)?\nAnswer: 1074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.46 - 2.46. Which is the closest to -2\/13? (a) j (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 7*n**2 + 5*n + 6. Calculate the remainder when x(-5) is divided by -3 + 7 + (-14)\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80430025597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 3 + 9 = 0. Suppose -2*b = -5*k + 24, 2*k + 3*b - 3 + a = 0. Suppose 76050 = -11*f - k*f. What is f rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 109. Solve -c = -u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137061 (base 8) in base 10?\nAnswer: 48689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -409255+-2.1\nAnswer: -409257.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127\/234 - -7\/18. Which is the third biggest value? (a) -5 (b) -2 (c) -3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owowhwtwtwtr. What is prob of sequence ow?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/6377062 and 1\/10.\nAnswer: 31885310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l + 13*l**2 - 11*l**2 + 4*l - 4 - 4*l. Let i be d(10). Calculate the greatest common divisor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x + 21*x - 65*x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3146, -12394, -27808, -49388?\n\"Answer: -3083*z**2 + z - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 k, and 2 b when four letters picked without replacement from hbbhkkkhhkhhhkhh?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*j**3*v + 142*b*j**2*v + 1034*b*j*v - 2*b*j + b*v - 9*j**4 wrt j.\nAnswer: 6*b*j*v + 284*b*v - 108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 + 597631\nAnswer: 597629.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(-2*sqrt(128)))\/(sqrt(1296)*1*6).\nAnswer: -sqrt(3)\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (1 - -1 - 0). Let l be i - (9\/12 - 1). Let z be (-16)\/42 - 2\/7. Which is the nearest to -1? (a) l (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40418730 and 8233445.\nAnswer: 444606030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.55 - -8. Let t = 0.05 - a. Let x be 4\/15 - (-1)\/3. Put -0.2, x, t in ascending order.\nAnswer: t, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/5)*v**17*v*v*v assuming v is positive.\nAnswer: v**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*r + 0 + 1\/6*r**4 - 2\/3*r**3 + 2\/3*r**2 = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7)*7\/5. Let n = -1.4 + -2.6. Which is the third biggest value? (a) -1\/5 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 5) to base 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drwrmw. What is prob of sequence drm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13797711*f**3 + 102966*f + 93 wrt f?\nAnswer: -82786266*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -602 - -341. Which is smaller: k or 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (48\/9)\/8*15. Let n be q\/6 - 5\/(-15). Suppose -2*b - s = -2, -b - n*s - 5 = -6. Sort b, -2, 2 in decreasing order.\nAnswer: 2, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, 1, -50, 19 in decreasing order.\nAnswer: 19, 4, 1, -19, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 12*w**2 + 205*w - 2116. What is q(11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 a when three letters picked without replacement from aajjrhataraa.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5261, -10502, -15747, -20996, -26249, -31506, -36767?\n\"Answer: -2*w**2 - 5235*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8911*c + 222223 = -3626*c + 3575*c - 387193 for c.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 4*x**2 - 3*x + 4. Let q be o(2). What is the common denominator of -14\/31 and ((-1)\/q)\/((-4)\/(-184))?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -26. Suppose -8 = 2*l + 5*g + 8, -p*l - 8 = 4*g. Let j be (-2 - 0) + -6 + (-5)\/1. Sort j, -2, l.\nAnswer: j, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*s**5 + 11365*s**3 - 227*s**2 - 147*s + 1.\nAnswer: -480*s**2 + 68190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -68397.\nAnswer: 273588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/24 (b) 16 (c) -74 (d) 2 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-63)*10*(-96)\/(-160)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 7*a**2 + 9. Let n be f(-7). Let t be 43 + (-4)\/(12\/n). Let q be (3\/6)\/(4\/t). Solve -4 = -v + q*i - 19, -12 = -4*v + 2*i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 7 - 422*l**2 + 1.\nAnswer: -422*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-3)\/(72\/40). Let d = -108 + 103. Which is the nearest to r? (a) 2 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/15 + 16\/120. Suppose q = 5*b - 3*o + 287015, 9 + 11 = 4*o. Round b to the nearest one thousand.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/45)\/(4\/(-28))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(sqrt(68) + -4*(-1*sqrt(68) + sqrt(68)))\/((sqrt(4) - (sqrt(4) + (sqrt(36) - sqrt(4))))*-6).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-12) - 13142\/(-30). Let l = g - 437. Is l >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109845 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1175 = 22*x - 4039. What are the prime factors of x?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 210, 213, 218, 225?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b475 (base 14) in base 15?\nAnswer: -158c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 210789 - 126804. What are the prime factors of i?\nAnswer: 3, 5, 11, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = -2. Suppose 3*c = -r*u + 11, 3*c - 3 = 2*u + u. Let n(a) = -30 + a**c + 30. Let h(w) = -2*w**2. What is n(h(f))?\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365990 is divided by 455270.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10011001100 (base 2) to base 8\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/5, -1, -43, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2. Let w be f(-2). Suppose -2*k - k - 55 = -2*l, -4*k = w. Let z = l + -4. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344 and 2107.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1065345 (base 7) to base 12\nAnswer: 65626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 77909931 divided by -2360907\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 2*l + 180. Let u = l + -9. Calculate the remainder when 104 is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - 3*sqrt(684))*-1)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 847356.7 micrograms to tonnes.\nAnswer: 0.0000008473567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/5 in -0.5, -9\/5, -4?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -81 or -96?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**3 - 12*x**3 + x + 14*x**3 + 9 as d + s*x**2 + p*x**3 + y*x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-1\/4))\/(n**(-1\/7)*n))\/(n*n**(1\/4)\/n*n)**0 assuming n is positive.\nAnswer: n**(39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 1:36 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(3\/(-6))\/(20\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481939023 to the power of 1\/2, to the nearest integer?\nAnswer: 21953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 441\/50?\nAnswer: 441\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((-25)\/(-100)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/2)\/(15035\/(-7515) - -2). What is the highest common divisor of r and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/31)*j**21)\/((j*j*j\/(j\/(j\/j**(2\/7)*j)))\/j**(13\/2)) assuming j is positive.\nAnswer: j**(10295\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.0196 rounded to 1 dp?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + 1 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 7*i + 3*x = 13, -5*i - 5*x + 25 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 15 - 3. Let b be d\/(-2)*(-2 - -3). Is 6*b\/4*7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9382542 rounded to 3 dps?\nAnswer: 3.938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 0 - 10\/3*n**2 + 35*n**3 + 0*n - 95\/3*n**4 = 0?\nAnswer: 0, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) + (-44)\/33. Let m be 1\/y*(-96)\/80. Which is the third smallest value? (a) 4\/9 (b) 3 (c) m (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10099865 to the nearest integer?\nAnswer: 3178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 + 160. Let j = 75 + q. List the prime factors of j.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590320 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 36728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7774 by -23.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2983, 14256, 33793, 61570, 97563?\nAnswer: 141748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 10*s + 7. Let u be r(6). Let w be 40\/(-3) - (144\/27)\/(-16). Let j = w - u. Solve 5*a - j*n - 16 = 0, 0 = 2*a - 2*n + 6*n - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/5 and -10\/27909?\nAnswer: 139545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/24 + 19*p**5\/2 + 1805*p**4\/2 + 137180*p**3\/3 + 3*p**2 - 1. Factor f(h).\nAnswer: 5*(h + 38)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4363915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwxxxxxwxxwxxxx. What is prob of picking 2 x and 2 w?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 3*f**5\/20 - 297*f**4\/2 - 595*f**3\/2 - 709*f. Find o such that l(o) = 0.\nAnswer: -1, 0, 595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v. Let w(d) be the first derivative of 31*d**3\/3 - 16. What is w(z(l))?\nAnswer: 124*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**2 + 6*b + 6619. Let p(t) = -3*t**2 + 41*t. Give v(p(k)).\nAnswer: 6*k**2 - 82*k + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (347 + 72*x - 347)*(-3*x - 2*x + 4*x) + (-x - 3*x + 3*x)*(x - x + 2*x) - 3*x**2 - x**2 + 2*x**2 + x**2 - x**2 - 2*x**2.\nAnswer: -78*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*o + 13 = 0, k + o = 4*o + 9. Let d be 46\/12 + k\/18. Solve -4*t = c + d*c - 13, 0 = 5*c - 25 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 + 2*g**2 - 2*g**2 - 3*g**2 - 2*g**3 - 2*g**3.\nAnswer: -4*g**3 - 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*(11 + 3))\/(-2). Let a = c - -7. Suppose 2*v - 7*v = a. Solve 0*l - 3*s = 5*l + 2, v = -2*l - 3*s - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2246448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - 27. Let k = -5 + w. Let z(y) = y + 6. Is 10 a factor of z(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001022 - 11?\nAnswer: 1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/24)\/(6\/(-60))*(-1)\/(-30).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 436410851?\nAnswer: 2182054255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/27 - (-160)\/36. Solve -m - 12 = b - p*m, -8 = -2*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 95 = 447. Calculate the smallest common multiple of m and 152.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 120.7? (a) -0.1 (b) -2 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = v + 11, -2*v + 5 = 3*c + 12. Let p be 2\/(-5) + (-1521)\/(-65). Suppose 34*f - p*f = 22. Solve 0 = v*b - f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**5\/7 - 1244*x**4\/7 + 1272*x**3 = 0. Calculate x.\nAnswer: -318, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 9 = r, 5*r + 22*g - 51 = 21*g. What is the second derivative of 4*q**3 - 138*q + 51*q - 5*q**2 - r*q wrt q?\nAnswer: 24*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-6))\/((-118)\/(-354)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1331 by 1.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11803*b**2 + 11445*b**2 + 11808*b**2 - 35051*b**2 + 1 - 1.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*z - 45*z + 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 64*n + 5*n + 605 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24766103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2361654996 to the nearest integer?\nAnswer: 48597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177.13 + -176. Let c = 1.74 - v. Round c to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (408\/(-1020)*5\/(-3))\/(2\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.602 - 0.042. Let j = n - 0.36. Is 1 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*w + 2*w, 0 = -3*y + 5*w. Sort 2, y, -4 in descending order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 4*u**2 - 3*u - 2. Let w be t(-3). Let a be (-3 + 2)*w + 1. Suppose -a*f - 5*n = -95, 4*n + 4 = f - 5. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/57 in -2, 0, 6\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 12 = 4*y + 14, u + 5*y + 25 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 12 = 4*j. Suppose 7*f - 2 = j*f. Suppose 14446 = f*b - 3*x + 5*x, -2*b - 4*x + 14454 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96*c**2 + 2*c - c**2 - 1 - 2*c + 2 + c**6 + 66*c**3 wrt c.\nAnswer: 120*c**3 + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3297 = -7*a. What are the prime factors of ((-7)\/(-3) - (-10)\/15) + a?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118270 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/(-12) + -4 + 1. Let s = 11 + -13. Which is the closest to s? (a) 2\/9 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - n**2 + 44*n + 124. Give r(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 296 - 463. Let s = w - -255. Let b = -58 + s. Calculate the highest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20123875271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - -5) + (-5 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 25 + 32 + (11 - 74).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t*t**(12\/11))\/t)\/t**(-29))**15 assuming t is positive.\nAnswer: t**(5295\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -59.598 and 247.\nAnswer: 187.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306\/238 + 157\/(-133).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*f - 99*m = -550*f - 1104 - 464, 0 = -f + m - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -9, 5*y - 10*y + 4*w + 68 = 0. Suppose g - 35 = -2*g - 4*f, 4*f = -16. Solve g*l - y = 13*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26\/3 + 8. Which is the nearest to q? (a) 2 (b) -2\/3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1377)*1 - (sqrt(1377) - -2*(-2 + sqrt(1377)))) + -5*(sqrt(1377) + -3)*-1)**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + y**3 + y**5 + (3*y**5 + 2*y**5 - 4*y**5)*(-6 + 1 + 3) - 4388*y**5 - 4524*y**5 - 9*y + 9097*y**5.\nAnswer: 184*y**5 - 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33\/13 or -48623?\nAnswer: -33\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-9) + (-156)\/27. Let d = 321 - 325. Let a be (d\/(-10))\/((-23)\/230). Which is smaller: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159949, -319877, -479803, -639727?\nAnswer: -799649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-20)\/(-6))\/(3\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 846208 by 4808.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/132*(-2)\/3. Which is the closest to 1? (a) t (b) -0.5 (c) -0.3 (d) -0.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -1304.\nAnswer: 21\/1304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j - 4 = 0. Suppose 2*d - 4*d - 4*r = -10, -j*d + 2*r = -20. Which is the smallest value? (a) -0.5 (b) d (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.67 - -0.33. Put x, 3\/7, 1 in decreasing order.\nAnswer: x, 1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -480*t**3 - 159*t**3 - 24*t + 48*t**3 + 24*t + (0 + 2*t + 0)*(2*t**2 + 2*t**2 - 2*t**2) + t**3 + t**3 + 0*t**3 - 2*t**3 + 0*t**3 - t**3.\nAnswer: -588*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1531105*-1.6\nAnswer: 2449768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 20?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 179 = 4*z - 155, -z + 3*k - 6 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/169 or 0?\nAnswer: 1\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/48 - -1*4\/(-48). Which is the fourth smallest value? (a) q (b) -0.3 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 5 = -w. Let l(k) = 3*k + 11. Let u(i) = -8*i - 33. Let b(q) = w*l(q) - 2*u(q). Find the first derivative of b(s) wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5920601 decades?\nAnswer: 5.920601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37531, 74963, 112397, 149833, 187271, 224711, 262153?\n\"Answer: q**2 + 37429*q + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95657 and 47?\nAnswer: 4495879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 5803080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8326 divided by 8326.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16589 is divided by 616?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Is (-7)\/(v - (-6)\/7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g + 1 + 0 - 1 to c*g + k and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2697\/1001 - -30\/11. What is the common denominator of r and -71\/39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13533607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjyyts. What is prob of sequence tsj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 385272*w*y**3*z**3 + w*y*z**3 - 2*w*z**2 + 13*y**3*z - 19553*z**2 wrt z.\nAnswer: 2311632*w*y**3 + 6*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -218, -267, -346, -461, -618, -823?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 14) to base 13\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9210 (base 10) in base 14?\nAnswer: -34dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w - 245. Let o = 80933 - 80884. What is the highest common divisor of o and w?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v + 424*v - 21*v + 201*v = 41382 for v.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 w when three letters picked without replacement from hhhhwxdhoddsoxwdwhdh?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4390*k**2 + 2279*k**2 + 2333*k**2. Let j(l) = 7*l**2. What is h(j(b))?\nAnswer: 10878*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -278 in -13, 10, 5, -265?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 - (3 - 27\/3). Solve -4*z = 4*h + h - b, -z - 13 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -28\/5 (c) -13.4 (d) -2\/9 (e) 3 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -12. What is the units digit of (-8)\/(-5)*(-15)\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, 4, -9, -1699, -8 in descending order.\nAnswer: 4, -8, -9, -231, -1699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/328 and -149\/37584.\nAnswer: 1540944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-2)\/(-7) + 50\/70). Let z be ((-2)\/5 - s)\/(6\/(-4)). Which is the closest to 1\/3? (a) 0.5 (b) 8\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 7\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - a004?\nAnswer: -a010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8354245*q + 13948544?\nAnswer: -8354245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 13*o**2 + 12*o - 4. What is f(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = 5*o - 143, 12 = 4*z. Let f(q) = -3*q + 10. Let k be f(-7). What is the greatest common factor of o and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 131104.26582 to 0 dps.\nAnswer: 131104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 2:34 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2862)\/1590*600\/(-54).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 - 111001001010011101?\nAnswer: -111001001001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3591\/(-2926)*11\/(-6)*384\/(-112).\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-42)*-6*18\/(-330)*-77.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 520 + -456 + -5 + 37?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98551 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(-1\/2)))\/l)**37)**(-27) assuming l is positive.\nAnswer: l**(999\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -269*a**4 + 231*a**2*l**2 + 308207*l**2 wrt a?\nAnswer: -1076*a**3 + 462*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011414 rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/4 + 2 + ((-444)\/(-37) - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 7. Let b(h) = 4. Let u(d) = 2. Let s(m) = -6*b(m) + 10*u(m). Let z = 38155 + -38162. Determine z*s(r) - 4*t(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632780.\nAnswer: 2, 5, 29, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + (sqrt(1300) + 2*sqrt(1300))*-5)*3*1 - (-5 + 4*(sqrt(117) - ((sqrt(117)*-1 - sqrt(117) - sqrt(117)) + sqrt(117))*-5)\/sqrt(9)))**2.\nAnswer: -3840*sqrt(13) + 1916953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - p**2 + p + (p**2 + 0*p**2 + 0*p**2)*(3 - 1 + 0) + (2*p - 5*p + 0*p)*(2 - 3 + 2)*(4*p - 6*p + 4*p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 13 + 7\/13*h**2 - 6\/13*h + 1\/26*h**4 - 10\/39*h**3. Find t, given that o(t) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/5)\/((-3)\/1530). Calculate the greatest common factor of g and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 40*r**2 - 1593*r + 1338. What is u(39)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 9*t - 15 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20226)\/(-1710) - 12 - 2*(-6)\/180?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45252034669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5261.\nAnswer: 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2948291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(39\/(-26))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**7\/252 - 5*s**6\/144 + 11*s**5\/30 + 19*s**2. Let o(w) be the third derivative of a(w). Differentiate o(p) wrt p.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (8 + 139) - -135?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*c = -17, 2*c - 1 = b + 4*c. What is the second derivative of 0*g**3 - 2*g**b - 2*g**3 + g**3 - g wrt g?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (10\/6 - (-1560)\/495)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + (sqrt(76) - ((sqrt(76) + 2)*-6 - sqrt(76))))**2 + (sqrt(76)*-5*3 - (3 + sqrt(76) + -5)).\nAnswer: 192*sqrt(19) + 4915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24720 and 240608?\nAnswer: 3609120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 240 (base 10) to base 14\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - (sqrt(60) + (sqrt(7260) - 3*sqrt(7260)) + sqrt(60)))\/((3*sqrt(12) + sqrt(12))*-4).\nAnswer: -21*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1338 (b) -202 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1341 - -1341.13. What is p rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -7*f + 56. Calculate the smallest common multiple of 12 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y + 196*y - 93*y - 1650 = 0 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1) + 27\/18. Which is smaller: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -49*l**2 + 3*l + 5. What is r(-1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*j + 1237846 - 237814. Suppose -3*q + l = 17036, -2*l = 3*q + q + j. Round q to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*i**3 + 0*i + 0*i)*(5 - 10 - 4)*(-3 - 3 + 4) as w*i**2 + d + b*i**3 + n*i and give b.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 230816 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 2 - -5) + 4 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(7\/76) - 3. Let p = -30 + l. Calculate the remainder when p is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*z + 6 = -331*z. Let c(y) be the second derivative of 1\/120*y**5 - 1\/12*y**3 + 0*y**4 + 28*y + 0 - 1\/6*y**z. Find s, given that c(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 9:51 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 19. Let a be 72*(2\/(-6) - -1). Calculate the highest common factor of a and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 501*19\nAnswer: 9519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 4*w**2 + w + 2. Let d be c(-3). Let g be d\/10*5\/2. Factor -3*k + 14*k + 5 + 7*k**3 - 3 + 16*k**g.\nAnswer: (k + 1)**2*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 d, 1 x, and 1 f when four letters picked without replacement from {d: 1, y: 1, x: 1, p: 1, f: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 2, 50, 1, -3 in decreasing order.\nAnswer: 50, 2, 1, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53475123.\nAnswer: 3, 13, 1371157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1007 and 5719.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-1 + -4 + -3.\nAnswer: -7 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvxvxvvvvxvvxvvv. Give prob of picking 3 v.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8517684 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12016*p - 23322 = -13030*p for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 9. Suppose 2*f = 5*w - f - 59, b*f = -5*w + 69. Calculate the greatest common divisor of w and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 6 = 3*t, -t - 4*t - 4*g = 7. Let h(w) = w**2. Let y(j) = 5*j**2 - j - 2. Let i be ((-176)\/24)\/11 + 35\/(-15). Calculate i*h(z) + t*y(z).\nAnswer: 2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-10)\/(-380) - 8\/76. Solve 8*y + 5 - 37 = o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*n + 36*n - 40*n**2 - 153*n + 42*n + 42*n as m + u*n**2 + w*n and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 9:24 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-6)\/(-234)*-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 263 - 257. Let r be z\/30 + 135\/(-425). What is the closest to 1 in 3, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -48 + 28*z**2 + 0*z + 7\/3*z**3. Find the second derivative of r(h) wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2017 by -184726.\nAnswer: -2017\/184726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37886*t + 37891*t + 18 = h, -4*t - 3*h - 22 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 + 20*s**2 - 2154*s + 634. What is z(28)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 8*q**2 - 8*q + 12. Suppose 4*c - 2*c + 22 = -4*j, 5*c - 3*j = -42. Let a be h(c). Solve a*s - 8 = -2*x + 4*s, -8 = -2*x + 5*s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -248, -297, -346, -395, -444?\n\"Answer: -49*t - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 157638 - -9500.\nAnswer: 167138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -984 + 987 - 17*v + 2*v**3 + 11*v as m*v**3 + p*v**2 + x*v + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + 36*d - 28. Let h be b(11). Solve -h = 3*v - 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - d + 9 = 4*d, -10 = -5*x - 5*d. Suppose 5 = -3*f - 4. What are the prime factors of 1 + -9*x\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 14*f**2 - 32*f. Let s be y(-16). Which is smaller: s or 1\/144?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1683.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 290980*y - 1163933. Determine n(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31473*x - 31516*x - 1204 = 0 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(sqrt(17) + (-1*sqrt(17))**2 + -3 + sqrt(17) - (sqrt(17)*-2 + -4 - sqrt(17))**2).\nAnswer: -625 - 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 3.96. What is the third smallest value in 0.1, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1614*w = -1624*w - 3*n + 2, 0 = -5*w + 3*n - 17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 3, y: 1, n: 2, j: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 53041 (base 6) to base 8\nAnswer: 15761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 211303302?\nAnswer: 211303312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*p + 120. Let y be (2 + p\/(-1))*(-16)\/32. Is y at least 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3818, 7236, 10578, 13844, 17034, 20148, 23186?\n\"Answer: -38*x**2 + 3532*x + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**3 - 6*r**2 - 3*r + 5. Determine h(-3).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + r**2. Suppose -3*h = -7*h - 8. Let n be (1 + 3 - h)\/(-2). Let l(s) = 4*s**3 + 3*s**2. Determine n*z(v) + l(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-26)*(-76)\/(-2166)?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 6*h**2 - 5*h - 5. Let t be q(-5). Let y(n) = -2*n**3 + 4*n**2 - 21*n + 82. Let c be y(3). Sort 4, 2, c, t in descending order.\nAnswer: 4, 2, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1190 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/(-58))\/((-2)\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7573\/10 - 755. What is the common denominator of -34 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose 5754 = -23*d - 8046. Let i be 4\/3*d\/(-160). Solve p*v + 2*y - 2 = -0, -i*y = -5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/13 and 46\/50*(-8 - (-88)\/16).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -187.34 - -188. Let d = 1.06 - k. Let q = 0.5 + -2.5. Which is the nearest to -1? (a) q (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -13. Let i(z) = 6*z + c*z - 11*z. Let a be i(-4). Solve -q - 5 = a*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2985*h - 1645031 + 1645031 + (1 - 1 + 3)*(-4 - 1 + 4)*(-4 + 4 + 2*h) in the form d*h + a and give d.\nAnswer: -2991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 16 + 1)*(-c**3 + 0*c + 0*c + (2*c + 2*c - 3*c)*(-5*c**2 + 4*c**2 - 3*c**2)).\nAnswer: -105*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 (base 12) in base 2?\nAnswer: 1100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 3:19 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2253, -11230, -26205, -47190, -74197, -107238, -146325, -191470?\nAnswer: -242685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 4)*(10*a**2 + 45*a**2 + 7*a**2 + 32*a**2).\nAnswer: 376*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 408383.9l in millilitres?\nAnswer: 408383900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {r: 3, u: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*v**2 - 3*v**2 + 20*v**2.\nAnswer: 109*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 4*x - 4*y, -145*x - 292 = -107*x + 4*y for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from xnxnmnxxnxnxm.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10270, -4, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 36*u**2 - 214*u - 7. Let a be f(6). Let c(b) = -14*b**3 + 68*b**2 - 8*b - 6. Let q(x) = 9*x**3 - 45*x**2 + 5*x + 4. Give a*c(l) + 8*q(l).\nAnswer: 2*l**3 - 20*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -481677704, -963355408, -1445033112, -1926710816?\n\"Answer: -481677704*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**4\/30 - b**3\/5 + 2*b**2\/5 + b - 2. Let h(d) be the first derivative of a(d). Suppose h(i) = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 915 divide 1809272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 6:31 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n**3 - 2*n)*(3*n**2 + 0*n**2 - 2*n**2) + (2*n**3 + 0*n**3 + 2*n**3)*(n**2 - 2*n**2 + 2*n**2).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23269 is divided by 11320?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*w - 2)*(4 - 3 - 3)*(14 + 5*w**2 - 14).\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/9 or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m + 1. Let r(k) = 37*k - 5. Let c(u) = 2*r(u) + 9*y(u). Let d(j) = 7*j + 2. Determine 3*c(w) + 2*d(w).\nAnswer: -7*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/42*(-4)\/2. Let w = 23 - 45. Let g = -24 - w. What is the second smallest value in -1\/2, v, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 3) to base 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91 and 0.2268078.\nAnswer: -20.6395098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32850 or -32925?\nAnswer: -32925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**3 + 8*k**3 - 160416975*k + 160416977*k.\nAnswer: 15*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.03 + 0.03. Let j = -4.31 + 7.31. Let i = j + w. What is the second smallest value in -6, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -220, -692, -1602, -3094, -5312?\nAnswer: -8400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h**2 + 22672*h - 68075. Determine k(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15766 is divided by 1429?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 356546 to the power of 1\/2, to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 7*d - 6. Let r be g(-6). Suppose r = 5*h - l - 2, l = 5*h + 2*l + 2. Let m(f) be the first derivative of -f**3\/3 + 11*f + 1513. What is m(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + ((sqrt(425)*-1 + 5)*1 - ((sqrt(425) - (1 + sqrt(425))) + 3)*5)))**2.\nAnswer: 1000*sqrt(17) + 11025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 1) + (28 - (19 + 13))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*t = -2. Let h(z) = -6 + 0*z + 9*z**t - 5*z - z. Let s(n) = 8*n**2 - 5*n - 5. Let k(d) = -5*h(d) + 6*s(d). Let u(f) = 6*f**2. Determine k(u(i)).\nAnswer: 108*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 122354540 to the nearest one hundred thousand.\nAnswer: 122400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t - 139*t + 63*t - 247*t in the form b + c*t and give c.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-8)*(-8)\/9*-3. Let h = 2 + a. Find the second derivative of 4*l**2 - 35*l**4 + 52*l**4 - h*l**2 + 17*l wrt l.\nAnswer: 204*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + q - 2*q = -9, 2*q + 2 = -u. Suppose -5*t - 5 = z, u*z = -7*t + 3*t + 12. Let x be (-1)\/3 + (-48)\/18. Put z, x, -6 in descending order.\nAnswer: z, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 3. Let b = 26 - 31. Let f(u) = -3*u**2 + u - 5. Let d(j) = b*p(j) - 3*f(j). Give d(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 27*o**2\/2 - 12*o - 4. What is the units digit of w(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + g**3 - 3*g**3)*(4*g - 5*g - g) - 6*g**4 - 13*g + 13*g.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9000096 + -1.9. What is a rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 not equal to -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2082872 divided by 94676\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -316 * 18.228.\nAnswer: -5760.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 2*z**2 + 2*z - 7. Let i be o(3). Suppose 81 = 25*g - i. Solve -7*x + g = -2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (495\/10)\/(1*3\/(-56)). Does 59 divide ((-22)\/(-4))\/(y\/(-184) + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/54 (b) 3\/4 (c) 0 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 3)*1*1. Suppose -4*x = -a*x - 5. Which is bigger: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1115 - 280*i**3 - 1424*i**3 + 2*i + 1702*i**3 to j*i + v*i**3 + f + t*i**2 and give f.\nAnswer: -1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4*m - 5*m)*(-1 + 0 + 0) + (0 + 1 + 2)*(3*m - 2*m - 2*m) + 2*m - 4*m + m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95572.96 + -95572.28999921. Let i = 1.18 - 1.85. Let c = g + i. What is c rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 544*a + 1208*a + 3 - 3 - 57*a in the form i + l*a and give l.\nAnswer: 1695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 287 and 6703172.\nAnswer: 6703172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -21. Let m = t - -17.4. Let k = m - -1.582. What is k rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - (3 - -17)) + (1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from nttaunttuntt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 617415 = 5*x, 0 = -27*r + 26*r - 2*x + 123483. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b + 64 = 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/10)\/((-18360)\/(-5400)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1774 - 0.238. Let q = 613.9394 - l. Let k = q - 611.07. What is k rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 7. Let u = 27 - 18. Let j be t(u). Solve 5 = x + j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-50)*-5)\/(259\/(-370)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1033 and 58.\nAnswer: 57.8967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3 - 137578*b**2 + 3576014*b - 23241894 = 0.\nAnswer: 13, 68763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 14*f + 7*f**2 + 15*f - 27*f - f**2.\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 9:44 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aajjjkikjyaiayky. Give prob of picking 1 j and 1 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3 = -o, -1 = n - 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99.941 - 0.059. Let y = j + 65.4. Round y to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1201375 and 7000?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - (-6 + 2)) + 1 + (-10 - (-7 + 2))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 - 45 - 425*r - 42 + 150 - 35 to the form z*r + b and give z.\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -547, 1\/6, 3.9, 2, 0.3, 0.5, 5?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 51 = 11*g - 191 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**3\/3 + 9*r**2\/2 - 29*r + 7. Let n be g(-12). Suppose 14*p - n*p + 4480000 = 0. What is p rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a**2 - 219*a + 998. Determine d(31).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1, -5, -0.1, 205775, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4012*y - 3955*y - 3021 = 0 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 402\/8*(-8)\/12. Let q = x - -33. What is the closest to 1\/4 in -1, q, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1345*w + 492. Is 29 a factor of y(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 17. Suppose 0 = -g - 4*g - 3*v - 1, 0 = g + v + u. Which is greater: g or -3\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22932 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/85, 26 in increasing order.\nAnswer: -4, 2\/85, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, 3, -4 in increasing order.\nAnswer: -113, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0485 + 4.0485. Let h = 157\/10 - 31\/2. Sort h, r, -1, 1\/3 in decreasing order.\nAnswer: r, 1\/3, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 0*y**5 + 0*y**2 + 0*y**4 - 4\/3*y**3 - 8\/15*y**6 - 6*y + 0. What is the second derivative of o(t) wrt t?\nAnswer: -192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -7. What is the common denominator of -69\/2 and (1\/(-8))\/(h\/(-136))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3489 - 861 = 9*q. List the prime factors of q.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1810482 rounded to 3 decimal places?\nAnswer: -0.181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558\/3939 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2170\/98 + 4935\/(-2303).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4273 + -0.13308326?\nAnswer: -4273.13308326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84022.\nAnswer: 2, 43, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10221210 (base 5) to base 2.\nAnswer: -10100111100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 48. Suppose z - 4*b - 48 = 0, r*z + 4*z + 2*b = 138. Suppose z*m - 446 = 34*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3806.288 millennia?\nAnswer: 380628.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdddj. Give prob of sequence jd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 189853163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1 - 19\/(-5 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 g, and 1 x when three letters picked without replacement from agapgpypppydxapyddp.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g = 44*g - 56. Let i be g*7 - (-18)\/(-6). Solve i*h = 21*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -5. Let p = d - -7. What is the second derivative of 2*q + 2*q**p + 2*q - q wrt q?\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) 3 (c) -17 (d) -2\/11 (e) -6 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001873 rounded to 6 dps?\nAnswer: 0.000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-15)*(-1)\/(-20)*369. Let a = o - 23\/4. Factor -4\/5*b + 0 + a*b**2.\nAnswer: 2*b*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*u + 45 + 619 = 0, -3*r = -2*u + 983. Let k = 329 + r. Solve -4*s = -y + 6 + 10, k = 4*s + 3*y + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2601, 2608, 2611, 2610, 2605, 2596?\nAnswer: 2583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -9. Let n = 79 + -1025\/13. Put -3, n, m in decreasing order.\nAnswer: m, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -0.03, 8, 4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = 3*j + 34*j - 325 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 459\/714*7\/(-6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o**3 + 3*o**2 - 4*o + 4. Let v be g(2). Let w = v + 58. Calculate the smallest common multiple of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-3)\/(-20))\/((-549)\/(-305))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-7))\/5 + 148\/28\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*l - 1854 = -6729. Let d = -62 - l. Calculate the smallest common multiple of 90 and d.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 21*y + 11. Let d be c(10). Let k be (-24)\/(-18)*3\/d. Let o(t) = -k*t - t - 7*t + 11*t. Let m(h) = 31*h. Calculate o(m(p)).\nAnswer: -31*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (504\/120)\/((-1)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 17 + 5*q - 8.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1232, 1429, 1622, 1811, 1996?\n\"Answer: -2*w**2 + 203*w + 1031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 2400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36909849*l - 53060993 wrt l?\nAnswer: 36909849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 23*u**2 - 140*u - 38. Let v be w(-26). Suppose -3*p + g = -946, g = 6*p - 11*p + v. List the prime factors of p.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3 - 105. Let q = c + -32. Does 34 divide 169 + 1 - (q + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 200351 - 105?\nAnswer: 200243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49, 76, 103, 130, 157, 184?\n\"Answer: 27*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*k + 138*k = -5810 - 9524 for k.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4dc02 (base 15) in base 14?\nAnswer: 66ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 490704.4 weeks?\nAnswer: 296778021120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2278)\/2100 - (-39)\/(117\/3) and 43\/7000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-38)*(-16)\/576*12.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24554 - 24554 + 1040*x**3 + (-2 + 2*x**2 + 2)*(3*x - x + x).\nAnswer: 1046*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 180852.1us in milliseconds?\nAnswer: 180.8521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12001 + -1?\nAnswer: -12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 103289 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 23. Solve i - l + 2 = 1, 5*l + 16 = -u*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-33))\/((-3)\/(18\/(-4)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 14. Suppose 5*i = 4*d + 13, -i + 0*d - 5*d - 9 = 0. Find the common denominator of i\/1 + 833\/56 + -5 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 41.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {c: 5, h: 3, q: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -834*v**2 + 834*v**2 + 8*v**4 + (2*v**2 + 3*v**2 - 2*v**2)*(0*v**2 + v**2 - 2*v**2) + 12*v**4 - 6*v**4 + 7*v**4 + v**4 + 3*v**4 - 2*v**4.\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 867104.2l?\nAnswer: 867104200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 2*k - k + 5*k to the form d + u*k and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 150*p**2 + 34*p - 37. Calculate q(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811 = 5*u - 8*u + 211*n, n = -2*n - 12 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2322500493?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8 + k + 10 - 13. Let n be i(9). Let s(u) = -9*u**3 - 2*u**2 + 2*u. What are the prime factors of s(n)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 204, 305, 406?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t - 4. Let r be m(4). Let c be -2 + 2 + 2 + 1. Solve 4*f - r = -5*w, 13 = -5*f - w + c*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42480, -85021, -127564, -170109?\n\"Answer: -n**2 - 42538*n + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 433 = -405 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 7*w**5\/60 + 2*w**2 + 13. Let b(r) = -2*r. Give z(b(j)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -355, -835, -1557, -2551, -3847, -5475?\nAnswer: -7465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvjjjicciimjijjiij. Give prob of sequence ij.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34976 divided by 32.\nAnswer: -1093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*3*4 - sqrt(130)*1*-4)\/(((sqrt(90) + (-1*sqrt(90) - sqrt(90)))\/sqrt(9) - sqrt(360))*-4).\nAnswer: 4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3952, 3956, 3972, 4006, 4064, 4152?\nAnswer: 4276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 11*f - 25. Let k be n(-4). Suppose -k = 3*y - 0*y. Let z(a) = -a**3 - 10*a**2 - 8*a + 4. Let q be z(-9). Put q, -4, y, 3 in decreasing order.\nAnswer: 3, y, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbtbbbtbtbt. Give prob of sequence ttb.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7*12\/(-210) - (-3)\/5. Sort 1\/7, 1, -2, r in ascending order.\nAnswer: -2, 1\/7, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-2)\/(-30)) + 4. Let w(j) = -4*j. Let c be w(1). Let f = i + c. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*x = x - 16, -5*n - 3*x = -20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 210 - 803. Let u = s + 619. What is the remainder when 179 is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.9 + 2.94. What is the third biggest value in a, 0.1, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*d + 76*d = -126 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -670746 divided by -6.\nAnswer: 111791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from ojjooozzzooozjjzo.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/((-96)\/45))\/(9\/12). Suppose -5*i - 2*h - 231 = 0, -3*h + 126 = -2*i - i. Let m = 44 + i. Is m not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1067 + 741 - 485 = -63*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 25, -5*k + 31 = 5*r - 64. Let l(u) = 2*u + 3. Let y(j) = -1 - 10 - 3 - 10*j. Give k*l(b) + 3*y(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4*3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, a: 11, p: 1}. What is prob of picking 1 a and 1 b?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*6)\/((-24)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 12*z**5 + 88*z**4 - 172*z**3 + 72*z**2 = 0.\nAnswer: -9, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7200))\/sqrt(10).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(0 + 0 - i**3) - 302*i**3 + 2499*i**3 + 102*i**3 - i**3 - 3*i**3 + 2*i**3.\nAnswer: 2298*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 161522008 + -6095?\nAnswer: 161515913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.52 - -0.68.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 23 = -4*d, -3*d - 11 = -3*w + d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6 + 2*m**3 + 6*m**3 - 11*m**5 + 1952235*m - 1951961*m + 4 wrt m?\nAnswer: -220*m**3 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 390.27?\nAnswer: -375.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/((84\/(-16))\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 19. Suppose -2711 + 7751 = g*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6 + -8595.75.\nAnswer: -8594.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6a1 (base 12) to base 4\nAnswer: -33121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50287333 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -0.02 (c) -2\/13 (d) -2 (e) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + -3. Let t be (9\/(-24))\/(2\/u). Let 1\/2 - 2*q**2 - t*q = 0. Calculate q.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.1, -529, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4319015 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-40))\/((-27)\/675).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 228563.8 hours?\nAnswer: 822829680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542865?\nAnswer: 3, 5, 36191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -10100000 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 227304 and 24192.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497434819?\nAnswer: 7, 1381, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7 + 1 - 3 + 4 - 2*g. Let o be b(4). Let p = 2 + -1.9. Sort -1\/2, p, o in decreasing order.\nAnswer: o, p, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40254 = 31*m - 11268. List the prime factors of m.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.398 - -26.39815523. What is c rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, l: 3}. What is prob of picking 2 g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 - -3?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 - -96. Calculate the greatest common factor of 50 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 14 + -15 + (11 - 53).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 2. Let j(w) = -3*w - 4. Give -j(p) + 3*t(p).\nAnswer: 6*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 39.38. Let c = b - 0.08. Let h = 1067\/7 - 152. Which is smaller: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 0 + 4 - 2 + 7*u - u**2. Let m be g(7). Let i be 1120\/(-240)*(-12)\/14. Solve 3*n = -l + m, -n - 3*l + i = 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1978472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2221148970107\/3537 - 627975400. Let k = 414\/131 + v. What is the common denominator of k and -37\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5688474079?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 97823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 4*z. Let p be o(5). Let n = 2 + -3. Let f(u) = u**2 + 2*u - 8. Let q be f(-4). What is the closest to 2\/3 in n, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**2 + 6*w - 10. Let c(n) be the third derivative of n**2 - 1\/24*n**4 + 2\/3*n**3 + 0 + 0*n. Give 8*c(y) - 5*h(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2. Let y(m) be the first derivative of 25*m**2\/2 - 3. Determine y(w(r)).\nAnswer: 50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10122201210 (base 3) in base 10?\nAnswer: -71976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 36. Let y be m(15). Solve -2*r = 2*r + 4*z + y, 3*z = -15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1747 + 1104*l**2 - 3422 + 1674 - 2*l + 0*l**2 + 0*l**2 - l**2 - 4 + 4 - 2*l**2 + (l + 0*l - 2*l)*(-l - l + 4*l) in the form d + r*l**2 + x*l and give r.\nAnswer: 1099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66122861?\nAnswer: 7, 23, 410701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.9 - -7.4. Let y = 14.8 + u. Let z = 1.7 + y. Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.1 and 3190041.\nAnswer: 3190047.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 20 = w. Let z(u) = -4 + 0*u**3 + 4*u**2 - 3*u**3 + 4*u**3 - 6*u. What is the units digit of z(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5, 8976 in increasing order.\nAnswer: -5, -0.5, 8976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -55551 and -4.01062.\nAnswer: -55555.01062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**6\/120 - 7*b**5\/60 + 5*b**4\/12 + 11*b**3\/6 + 10*b**2. Let o be c(-8). Is o greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) -0.8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*c + 40. Let h = -3648 + 3666. Calculate the smallest common multiple of h and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2128903?\nAnswer: 7, 23, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 27 - 4 = -f, k + 3*f = 31. Let l(z) = -z**3 + z**2 + 128. Let t be l(0). What is the remainder when k is divided by (3\/6)\/(8\/t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142856.413 rounded to the nearest 10?\nAnswer: 142860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15082, -15080, -15078, -15076?\n\"Answer: 2*v - 15084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stj when three letters picked without replacement from ssqjzqzsqqvsstsqzq?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/12*2*1\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/5 + 266*q\/5 = 0.\nAnswer: 0, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-152)\/(-30) - 5)\/(1\/3)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.09 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9776815*-0.01\nAnswer: 97768.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110736344 divided by -2?\nAnswer: -55368172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*a - 639 = -67*a - 276*a. What is h in -1\/4*h**5 + 7\/4*h**a - 2 + 1\/2*h**2 + 0*h**4 - 3*h = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -129*15\/(-18)*(0 + 4). Calculate the highest common factor of 2451 and q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + l + 4 = -0, -v - 5*l = 20. Suppose -j = -g - 16, -3*j + 2*g + 52 = -2*g. Suppose i + 2 - j = v. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -14)*1\/(-3). Let c(l) = -2*l**4 - 2*l**2 + 2*l + 2. Let h(i) = -i**5 - 2*i**4 - 3*i**2 + 3*i + 3. Let j(b) = f*c(b) - 2*h(b). Factor j(v).\nAnswer: 2*v**4*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - p)*(0 + 1 - 3) + p - 3*p + p - 2*p - 2*p + 2*p - 107*p - 33*p + 16*p.\nAnswer: -129*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -618967\/1936 + 76215\/242. Let f = n - 80\/121. Let m = -113\/7 - 173\/14. Find the common denominator of m and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21010 (base 3) to base 2\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-4 - -4) - -3. Let j be 3\/(-4) + s + 13\/(-4). What is the second smallest value in -4, -0.07, -0.4, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*p + 37 = 0, -2*g + 2*p - 2 + 4 = 0. Let k be g\/(-2 - 8\/(-2)). Suppose 0 = -0*z + 4*z - 20. Solve 0 = -2*u + 10, z*t - k*u = -6*u + 40 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 - (-1 + 4) - -1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 452*f**2 - 2*f - 1. Let h be u(3). Let d = 24263\/6 - h. What is the common denominator of -13\/5 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*r + 89612 = 74492 for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.4 - 1.4. Let d = 5 - k. Which is the second biggest value? (a) d (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149732427 to the nearest integer?\nAnswer: 12237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:12 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -453 - -761. Let y = k - 301. Suppose -252 = -6*c + 2*c. What is the greatest common divisor of y and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -222\/6901553 or 0?\nAnswer: -222\/6901553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -30*d**2. Let b(h) be the third derivative of -h**4\/8 - h**3\/3 - 448*h**2. Let j(l) = 1 - 6 - 3*l - 4*l. Let p(f) = 5*b(f) - 2*j(f). What is p(c(n))?\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/2 + 12\/8 - -81. What is the highest common divisor of i and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 9:09 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-105))\/(39\/(-91))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**5\/30 - 7*u**4\/12 + 3*u**3\/2 + 5916*u**2. What is s(9)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 - 4) - 18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-28)*7 - (-57)\/3. Calculate the greatest common factor of n and 736.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1707387 and 44.\nAnswer: 6829548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*l - 3*l = 16, 10 = -5*t - 5*l. Let h be t\/(-4) - 6\/(-4). Suppose 0 = -b - h*b + 80. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6a (base 12) to base 3\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssgssssssgsssgs. What is prob of picking 3 s and 1 g?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 4, -13, 3, -4 in descending order.\nAnswer: 4, 3, -4, -13, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + -4)*3\/6. Let x be (-5)\/q*6\/2. Suppose -x*v = -6 - 19. Solve 3*c - v*c = b + 6, 2*b - 16 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.62 - 0.86. Let k = -0.212 - r. Let v = k - -4.972. Which is the biggest value? (a) v (b) 0.07 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.115433865 to four decimal places.\nAnswer: 0.1154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173186717\/6 or -28864452?\nAnswer: -173186717\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = o + 3. Which is the nearest to o? (a) -1\/3 (b) -2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 12:28 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -473\/27 - -30647\/108. Let t = y + -279. What is the common denominator of t and -5\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1682121 and 735.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 + 16506*u**3 - 22769931*u**2 + 181367928*u - 362208432.\nAnswer: -3*(u - 2747)**2*(u - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -176\/5*m + 4\/5*m**2 + 1936\/5.\nAnswer: 4*(m - 22)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*-6 + 4)**2 + ((0 + sqrt(117))**2 - sqrt(13) - (4 + sqrt(52)\/sqrt(4))) + 1.\nAnswer: -98*sqrt(13) + 2002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. Suppose -31*h - 1049 - 92 = -25. Put h, a, -5 in descending order.\nAnswer: a, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i - 11. Let q(l) = l. Determine g(w) - 6*q(w).\nAnswer: -2*w - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -228242 rounded to the nearest one thousand?\nAnswer: -228000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020121212 + -10002?\nAnswer: 2020111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 11*a - 2. Let z be k(3). Suppose -t = -z - 15. Suppose 0 = 3*d - 4*x - t, d - 3*x = -d + 32. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d + 47. Let v be f(7). Suppose 9*i = -v*z + 4*i + 25, -13 = -3*z - 5*i. Let l = -3 + z. Solve l*r = 7*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*z - 35 = -249, g + z = -46. Let k = 62 + g. Suppose -s - k = -4*s. What is the greatest common factor of 18 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28633.44 to the nearest one hundred.\nAnswer: -28600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 43 = -5*p, -6 = -a - 5*p + 8. Suppose -4*j = -3*u + 184, 0 = -u + j + 90 - a. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-6)\/(-3))*(-4)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10\/121 - 534\/605. Which is the nearest to -0.18? (a) -3 (b) o (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*-119552.\nAnswer: 2032384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 28, 40, 70, 124, 208, 328, 490?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mss when three letters picked without replacement from msmsmsssssmms.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-69)\/(-7) + (-5)\/(-35). Suppose 2 + s = 3*o. Suppose 2*z = -o*b + 16, -2*z + 5*z = 0. Solve -i = -b*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 - 9*a**2 + 7*a + 12. Let z be m(-5). Solve 3*l**3 + z + 4*l**3 - 6*l**2 - 4*l**3 + 4 - 3*l = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*((-5 + 1 + 2)*(3*r - 4*r + 0*r) + 27 - 27 - 11*r) + 20*r - 19*r - 17*r.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 8 = -3*n, 2*j - 2*n + 2 = -3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 (base 11) in base 15?\nAnswer: -ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*z + 77, 2*v + 5*z + 78 = 6*v. Calculate the remainder when 49 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 514 - 502. Calculate the highest common divisor of r and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 717 + -717. Solve -2*u - 5 - 3 = y, 0 = -2*w - 3*u - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5958560 and 9812?\nAnswer: 65544160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1001*x + 992*x + 45. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**7\/168 + f**6\/40 - 93*f**5\/80 - 587*f**4\/48 - 37*f**3 - 99*f**2\/2 - 2134*f. What is q in r(q) = 0?\nAnswer: -6, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*a + 358, 4*a = -3*x + 329 + 17. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 1 + 8 - 7 + 17*u**2 in the form l*u**2 + y + s*u and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130016253*g**3*k**2 - 523*g**2*k**2 + 1053*g*k**2 - 15*k wrt g?\nAnswer: -780097518*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/2 - (-18)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (414\/552)\/((-1)\/(-6308)) and 21?\nAnswer: 33117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*p + p. Suppose 2844 = 2*a - 6*a. What is the common denominator of -83\/18 and a\/(-12)*p\/54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7158103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5477759.4113862 - -5477760. Let h = i - -3.41138548. Let u = 4 - h. What is u rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16536 + 6564 = 25*t. List the prime factors of t.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*m - 2*m. Let z = 12 - 5. Let p = z - -3. Calculate the highest common divisor of p and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2*p + 12 = 0, 3*g + 2*p - 20 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, p: 11, f: 1}. Give prob of sequence pm.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -189685*q - 2*q**3 + 7308*q**2 + 8861*q**2 - 52215 + 59926*q**2 + 20*q**4 - 2413*q**3 = 0. Calculate q.\nAnswer: -1\/4, 3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-3 - -6) + 1*8. Let s = v - 5. Let x(j) = -j**3 + 6*j**2 - 5*j - 5. Determine x(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5923, 47486, 160307, 380014, 742235, 1282598?\n\"Answer: 5938*f**3 + f**2 - 6*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 1\/3, -1.47 in decreasing order.\nAnswer: 1\/3, -1\/9, -1.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -137737, -137695, -137655, -137617, -137581?\n\"Answer: -h**2 + 45*h - 137781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 14*g - 22. Let w be n(11). Let z(x) = -x**2 + 12*x - 8. Let s be z(w). Suppose 0*q + 471 = s*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4)*g)\/(g**6\/g*g))**32\/((g\/(g\/g**(-3\/5)))\/g**(-1)*(g\/(g*g**3))\/(g\/((g\/(((g*g*g**(1\/6))\/g)\/g*g)*g)\/g))) assuming g is positive.\nAnswer: g**(-4927\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 417, -1446, -17, -4, -5 in descending order.\nAnswer: 417, -4, -5, -17, -1446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36.26 + 0.26. Let y = s + 36.03. Put y, 4\/3, 3\/4 in decreasing order.\nAnswer: 4\/3, 3\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32946, 132778, 299160, 532086, 831550?\n\"Answer: -f**3 + 33281*f**2 - 4*f - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/1533 + -7325\/511. Is o bigger than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640.49 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvvvvvnvvnvvvvvv?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 3. Let z(g) = g - 2. Let i(h) = h - 14. Let s be i(11). Give s*z(p) - 2*d(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1*(-23)\/((-276)\/124344)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -6. Suppose -3*c = -4*c + 2. Factor -2*v**5 + 3*v**4 - 2 + 4*v**r + 4*v**3 - c*v - 5*v**4 + 0*v**5.\nAnswer: -2*(v - 1)**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8. Let f(o) = 7*o + 10. Let g(z) = -3*z - 7. Let l(j) = 4*f(j) + 9*g(j). Determine 4*l(r) - 11*p(r).\nAnswer: 4*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -563\/3841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137034936685\/174 + 787553897. Let f = j - -6421\/2. Do f and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1566 + 3644 - 519 - 1559 + 81*u**3.\nAnswer: 81*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 - 91. Let b be 889\/196 + u - 4\/14. What is the closest to 0 in b, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 6 = -3*n. Let w be (12\/(-42) + 27\/21)*-3. Sort w, n, 3 in descending order.\nAnswer: 3, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7724023?\nAnswer: 251, 30773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 5\/(-3))\/(6040\/(-47565))*-4. Suppose -20 = -m - 3*m. Sort k, m, 1, 4 in decreasing order.\nAnswer: k, m, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1210 - 10?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 215673 and 3219?\nAnswer: 215673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.488391l in millilitres?\nAnswer: 488.391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 21*v + 5*j - 565 = 0, -4*v - 3*j + 455 = 0. Calculate the greatest common divisor of v and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2 = -9*v + 12*v, -4*v + 6 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 11\/(-2))*10\/(-30). What is the closest to 2 in 0.2, 5, w, -5\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v**3 - 6*v**2 - 14*v - 18. Let s(q) = 10*q**3 + 5*q**2 + 16*q + 15. Give -5*l(g) - 6*s(g).\nAnswer: -5*g**3 - 26*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 - 475*a\/2 + 225625\/4.\nAnswer: (a - 475)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**3 + 6*t**2 - 8*t - 7. Suppose 0 + 3 = f. Let r(q) = -7*q**3 + 12*q**2 - 15*q - 14. Let v(x) = f*r(x) - 5*u(x). Determine v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*n - 0 - 8, -4*n = 0. Suppose 6*o - 20 = x*o. Suppose u - o*u = -196. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-32)\/8448*-286).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*s - 56 = -271*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 0) + 9379\/(-904).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -490*u - 24. Let g(h) = 473*h + 22. What is 11*g(t) + 10*i(t)?\nAnswer: 303*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -2326?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 78839690 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0.4 (b) 3 (c) -242991\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(40*r + 24*r - 82*r + 99 + 17*r).\nAnswer: r - 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g - 1044 - 680 - 18*g**3 + 116.\nAnswer: -18*g**3 + 10*g - 1608","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 521, 657, -1803, -9073, -23367, -46899?\nAnswer: -81883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 666723, 1333451, 2000173, 2666889, 3333599, 4000303?\nAnswer: 4667001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 46.54102 kilometers?\nAnswer: 46541.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -1 - (38 + (-56 + 56 - (-3 - 3)))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (64\/12 + -2)*12. Calculate the highest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 b when three letters picked without replacement from {b: 9, y: 10}?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6 + 0)\/(-12))\/(1\/8). Suppose -2*c - 3*n + 1317 = -g*n, 0 = -3*c + 2*n + 1977. Does 24 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**6\/120 + 11*g**5\/60 + 5*g**4\/12 + 2*g**3\/3 + 36*g**2. Calculate x(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 40, -5, 0.2, -10, -4\/7?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11140 (base 7) to base 6.\nAnswer: 21021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*j**5 - 48*a*j**4 + 2*a*j**2 - 48*j**2 wrt j?\nAnswer: -120*a*j**2 - 1152*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g, 3*g - 7*g = 5*l - 4640. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 + 2*i**2)*(-i - i + 0*i)*(-4 - i + 4) + (4*i + 5*i**2 - 4*i)*(-3 - 2*i**2 + 3).\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9677 - 6705. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 5. What is the smallest common multiple of r(8) and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1446, -2892, -4338, -5784, -7230, -8676?\nAnswer: -10122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 + 19?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7734807?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -1\/15*k**5 + 5*k**2 + 0*k**3 + 0 + 0*k + 0*k**4. Let a(t) be the second derivative of 5*t**4\/12 - 2*t. What is m(a(d))?\nAnswer: -100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 947 + -942. Solve -c*u + 9 = 24 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -71 + 1c?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 15317 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 10:08 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.9 plus -13.3?\nAnswer: -51.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36823 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3920352807 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 0. Let k(a) = 7*a + 12. Let j(q) = -6*q - 8. Let s(i) = 4*j(i) + 3*k(i). Calculate the remainder when 63 is divided by s(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*(10\/(-15))\/(-1). Suppose 2*d - 4*k + 13 = 5*d, 19 = d + 5*k. Which is the closest to 0? (a) d (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/120 - z**5\/60 - z**4\/24 - 53*z**3\/6 - 42*z**2 - z. Give o(0).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmpmmmpmmmm. Give prob of sequence mpmm.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -30*j - 56. Let s be p(-2). Suppose -5*x - s*r = -24, 0*r = x - 4*r. Which is the nearest to 1? (a) 2\/7 (b) -2\/5 (c) -1\/12 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2. Let c(q) = 173*q - 168 + 69*q + 169. Determine c(d(t)).\nAnswer: -242*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -189\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-27)\/4)*6\/(-16).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.9, -3\/5, -2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p**2 - p. Let l(s) = -2*s**4 + 17*s**3 - 7*s**2 - 17*s. Let n(b) = -18*g(b) + 2*l(b). Factor n(w).\nAnswer: -4*w*(w - 4)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 8:52 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 98. Suppose d - 26 = 2*l. Suppose -4*k = -3*i + 29, -i + 12 = -4*k - 11. Solve -s - i*j + 7 = 0, 0 = -s - l*j - 0 + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3*p + 503 = 471, -3*y - 4*p = -26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4812)\/1204203)\/((-6)\/196) - (24\/11 + -2)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.17 + -4.83. Let t = -243\/1004 + -2\/251. Which is the nearest to t? (a) 3 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**2\/2 + 16*u - 12. Let m be a(10). Suppose 61 = k - m. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(171))**2 + 2 + 4*(sqrt(171) - sqrt(171)*-2) - ((sqrt(171)*-1*1)**2 - (1 + (sqrt(171) - -2*sqrt(171))))).\nAnswer: 6 + 51*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 + 2*s**4 + 48*s**3.\nAnswer: -s**3*(s - 8)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 5:26 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93\/35 - -14\/5. Let d = 5\/6 - 11\/18. What is the nearest to 0.1 in d, f, -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 8:41 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**25*q**(-5\/6))\/(q*((q*q**(1\/29))\/q*q)\/q)**(7\/12))**(1\/28) assuming q is positive.\nAnswer: q**(1025\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 1. Let s = -17 + n. Put 0.3, -0.1, s in ascending order.\nAnswer: s, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/7 - 539006*t\/7 + 12398196\/7 = 0.\nAnswer: -269526, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (0 + (-2 - 2)). Suppose x = -2*g - 5*r + 4 + 22, 3*r = -4*g + 24. Solve -2*w = g*w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {o: 2, h: 4, y: 1}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 7*l + 38 = 0. Suppose 0*j = -v + 3*j + l, -3*v = 5*j - 114. Calculate the remainder when v is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/114)\/((-2)\/30*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 74 = 7*x. Suppose 0 = -n + x*n. Solve n = -10*h + 5*h + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02702 rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) 11 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -7. Suppose -13 - 21 = -3*c + 5*k, 0 = 2*c + 3*k - 10. Let t = c + s. Solve -5*a - 20 = 0, -t*y - 3*a - 32 = -0*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3\/3 - 65836*k**2\/3 - 658210*k\/3 - 1645400\/3 = 0. What is k?\nAnswer: -32908, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4396 and 1901648?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 1 - (-1 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52557004237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188585781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/11))**(-37)*p**(2\/21)*p**(-5)*p assuming p is positive.\nAnswer: p**(-2456\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65*b**3 - 88*b**3 - 49*b**3 - 82*b**3 + (2 - 2*b**2 - 2)*(b - b + 2*b).\nAnswer: -158*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2978258, 2978253, 2978248, 2978243, 2978238, 2978233?\nAnswer: 2978228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - f + 3*f**2 + 80*f**4 + 3 + 3*f**3 - 82*f**4 to the form q*f**4 + m*f**3 + y + j*f + r*f**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 140. Let d(p) = p**2 + 35. Let g(z) = 9*d(z) - 2*s(z). Let i(q) be the first derivative of g(q). Let j(m) = 14*m**2. Give i(j(l)).\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 - 92*x**2 - 115*x - 91. What is the remainder when 669 is divided by u(32)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1050, -1, 11, 0, 41, -21, -3 in descending order.\nAnswer: 1050, 41, 11, 0, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*v**4 - 1074*v**3 - 5058*v**2 + 20844*v + 7776 = 0 for v.\nAnswer: -6, -9\/26, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*o + 69*o - 143*o**2 - 131*o.\nAnswer: -143*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**4\/4 + 4*z**3\/3 + z**2 - 2. Let f be i(4). Let q = 13 - f. Solve -k + q = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 159\/(5 + -2) - (5 - 6). Let x = s - 53. Solve 0 = -3*r - x + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4) + (21 - -2) + 29 + 22 + -5\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2315696 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 137, -2\/3, -3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 9*m + 24. Let b(r) = -3*r**2 - 75*r + 33. Let p be b(-25). Let v be (0 - 1\/3)\/((-1)\/p). Calculate d(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237945709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**7\/540 - 4*h**6\/405 - 11*h**5\/540 - h**4\/54 + h**3\/3 - 6*h**2. Let t(l) be the first derivative of p(l). Factor t(r).\nAnswer: -2*(r + 1)**2*(7*r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201+2283128\nAnswer: 2282927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 2\/7, 3, 2\/13, -2\/21?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 227 and 680701949?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f - 3*o = 17307 - 16650, 3*o = 3*f - 48 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-666)\/(-444)*(-3)\/((-9)\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 85*g**2 - 376*g - 775. What is the remainder when n(-89) is divided by 60?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3915 + -0.9103. Let k = r - -0.1328. What is k rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28430 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127 + 319. Suppose t - o = 4*t. What is the units digit of (t\/12)\/(4\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6 - (-1053)\/26)\/((-24)\/(-736)) is divided by 268.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + 10 + -15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 296 (b) -1\/4 (c) 4\/9 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 1590\nAnswer: -1589.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 43808.31?\nAnswer: -43804.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 920*r + 921*r - 95)*(5 - 2 - 4) to the form z*r + v and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkkm when four letters picked without replacement from mkkgmzmmswzwzzk?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499 - (0 - (0 + 9)).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 - -154. Suppose -107*l + 4 = -j*l. Let m(d) = -1. Let x(h) = -3*h + 2. Determine l*m(n) + x(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9472 and 88800?\nAnswer: 710400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 15*u - 28. Let r be z(9). Let c be (r - -1) + 6\/1. Solve c*k - k = 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199586132 divided by 99793066.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-5 - (-10 - (-4 + 2))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48.0594594 + 48.06. What is i rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 37 = -5*i, -4*r - 3*i = -31 - 0. Suppose 0 = 4*k - 5*p - 59, 2*k + 21 = 5*k + 4*p. Let g = k - r. Is 6 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5408 - -5286.74. Let c = k - -121. What is the third smallest value in c, -3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33581862217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009501301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 b when three letters picked without replacement from {f: 13, b: 3}?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54676156697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/a*a**(-5))\/(a**(-2)\/(a\/(a\/(a*a*a*a\/(a*a**(-1\/5)*a)))))*((a\/a**2)**(-2\/91))**(-8\/11) assuming a is positive.\nAnswer: a**(10931\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 0 - 21 + 32*q - 13*q + 13 - 19 - q**2. Let r be z(17). Let f = 133 + -56. What is the greatest common divisor of r and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = 86. Let y = -11 - t. Find the common denominator of 0 + 246\/y + -3 and -59\/26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(7) + -3 - sqrt(175)*1) + (sqrt(700) - sqrt(28)\/(sqrt(28)\/sqrt(7))).\nAnswer: -6 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/12*(-6)\/2. Suppose -h*r - 16 = -226. Calculate the highest common divisor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 2 - 18 = 0. Let c(i) = -2*i + 2. Let x be c(s). Sort 2, x, 0, 1 in descending order.\nAnswer: 2, 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(92\/(-16) + 6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j. Let g(c) = 20075788*c**2. What is g(y(n))?\nAnswer: 80303152*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*r**2 + 14*r**2 + 4 - 13*r**2 + 11*r**2 to the form y + s*r + m*r**2 and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.10099, -3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0117258 to 5 dps.\nAnswer: -0.01173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0372 + 21.4928. Let z = i - -0.47. Let t = -3\/34 - 7\/17. Which is greater: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from oyfffooyffoyo?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 498360, 996720, 1495080?\n\"Answer: 498360*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 23*c**2 + 3*c - 193. Give x(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40*((-12)\/64*-4)\/((-660)\/(-1056))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 - y**4 + 3*y**3 - 1117*y + 1115*y - 2*y**2 + 2 to x*y**3 + r*y**4 + k + v*y + j*y**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 152670031 to the power of 1\/3, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*p + 5*p - 17*p)*(-1 + 0*p - 7*p + 4*p) - 4*p**2 - p**2 + 4*p**2 + (-5*p + 4*p + 0*p)*(-3 - 2*p + 3))*(0 + 0 + 2*p**2).\nAnswer: 38*p**4 + 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1565 = 3*o + 5*g, -5*o + 4*g - 2088 = 545. Let b be o\/(-12) + (-4)\/(-16). Calculate the highest common divisor of 396 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 28*k = 0. Suppose k = -i - 58 + 14. Let w = 84 + i. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 5*m**2 - 5*m - 2. Let t be z(4). Let j = t + 10. Suppose -j - 4 = -4*u. Calculate the remainder when u is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255007564 minus -0.3954?\nAnswer: -255007563.6046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3180 and 0.4?\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25.69 + -25.6901803. Round b to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2. Let f(s) = 3*s - 560. Give f(r(d)).\nAnswer: -6*d**2 - 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 19 + 36. Let l(s) = 7*s**4 + 23*s**3 + 24*s**2 + 4. Let u(c) = -21*c**4 - 69*c**3 - 71*c**2 - c - 11. Let k(r) = h*l(r) - 4*u(r). Factor k(o).\nAnswer: o*(o + 1)*(o + 2)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -162*f**3 + 234*f**2 + 117*f + 234. Let m(l) = -2*l**2 - l - 2. Calculate 702*m(q) + 6*o(q).\nAnswer: -972*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 3, o: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 0*a + 4*a**3 - 3*a + 2*a**2 - 3 - 3*a**3 - 3*a**2. Let s be f(3). Suppose 2*w - 76 = -4*r + s*w, 13 = r + w. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*d**3 + 71*d**3 - 360*d**3 + (d**2 + 3*d - 3*d)*(3*d + 3 - 3) + 2*d + d - d**3 - 5*d to b*d + t + x*d**2 + h*d**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m**3 + 97*m**2 - 5. Let g = 69 + -77. Let p(r) = -13*r**3 - 145*r**2 + 8. Let u(z) = g*a(z) - 5*p(z). What is the third derivative of u(t) wrt t?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 36.291\nAnswer: 7.2582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**7\/84 - s**6\/20 + 3*s**5\/40 - s**4\/24 + 2*s + 80. Let h(q) be the first derivative of p(q). Determine z so that h(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + -44 + 16\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2129112282, 2129112283, 2129112284, 2129112285?\nAnswer: 2129112286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/4)*(w**(1\/5)*w)\/w*(w**(-3\/2))**(-11) assuming w is positive.\nAnswer: w**(349\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708 is divided by 285?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/325 and -83\/1144.\nAnswer: 28600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 9 + 3)*(-3 - 2 + 3) - 1 - 3 + 5)*(2 + 4 - 2)*(4 - b - 4).\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -3, 2, 8\/7, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 2765944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 115082997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29, -27, -5, -0.31 in decreasing order.\nAnswer: -2\/29, -0.31, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2 - 11 - 2*o**2 + 30*o + 5*o**2 + 6*o**2. What is the tens digit of w(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 40 = -8*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g - 14*g - 16*g to the form z + o*g and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3 - 7 + 2*y + 3 + y. Give q(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -3*a + 5*h, -5*a + 57*h + 406 = 58*h. What is the remainder when 167 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o - 11443*o**3 + 3*o + 2*o + 11445*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 3*d - 2*d**2 + (3*d + 2 - 2)*(4 - 4 + 3*d).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**3 - 2*t**2 - 5*t - 2. Let i(c) = -15*c**3 - 7*c**2 - 14*c - 7. Let u(z) = 2*i(z) - 7*o(z). Find the second derivative of u(s) wrt s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 19*g = -21728. List the prime factors of g.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 16*y + 224. Let j be z(-14). Suppose -5*b = -j*b + 20. Put b, 27, 3 in increasing order.\nAnswer: b, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7363 (base 10) to base 2.\nAnswer: -1110011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1433423 centimeters in millimeters?\nAnswer: 1.433423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrqqrrqqrqqrqrrrqqr. What is prob of sequence rrq?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 8:25 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8960 divided by 1\nAnswer: 8960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(2 - 3 + 2)*(-89*j - 6 + 4 + 92*j).\nAnswer: -9*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j - 3. Let g be -7 - (-4 - 30\/6). Calculate the remainder when 57 + g + -2 + j is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.0562\nAnswer: -0.0562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 476 = 2*z, -5*p - 796 = 8*z - 4*z. Find the common denominator of (226*3\/p - -4)\/(-5) and 1\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 10:10 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1\/3, 3, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4 + 3. Let l be 22 + k\/((-3)\/6). Let a(y) = -y**2 + 23*y - 25. Let t be a(l). Solve 0*w - 4*w = 5*j + 45, t = -5*w - 2*j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcmccmccmcmcc. What is prob of sequence mc?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11697518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, k: 1, l: 1}. Give prob of sequence dk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*l - 95 + 92 + 18*l to o*l + r and give o.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 15*i + 18*i + 58 = 0, 5*r = -2*i + 84. Suppose -r = 4*d, -4*w + 4372 = -0*w + 5*d. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Let b(y) = -3*y - 11. What is b(c) + 5*x(c)?\nAnswer: 2*c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 130, 131, 132, 133, 134?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539 = -a + 8*a. Let i(c) = c**2 + 4. Let w be i(-6). Let m = a - w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 176094 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(108) - ((sqrt(108) - -1*sqrt(108)) + -1)) + -2*sqrt(108)*4 + -4)**2.\nAnswer: 540*sqrt(3) + 8773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19\/141 - 22\/47. Sort 1\/3, j, 0.27 in decreasing order.\nAnswer: 1\/3, 0.27, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1377 and -16\/27.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + o**3 + o**3 + (-31 + 45*o - 47*o - 32)*(-31*o**2 + 1873*o - 1873*o).\nAnswer: 65*o**3 + 1953*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146133804?\nAnswer: 2, 3, 12177817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l = -102 + 397. Solve -l*h = -29 + 19 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 115 = 3*w - 5*w, -3*w = 5*j - 190. Let x = 40 - j. Suppose 4*c + 19 = 7. Put c, x, 2 in descending order.\nAnswer: x, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 13) to base 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 247565609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**4\/4 - 3*b**3 + 9*b**2\/2 + 5*b - 1. Calculate the remainder when 37 is divided by p(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 21*c**2 + 9*c + 1. Is n(21) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23\/54 - 2\/27. Let k = -0.36 - -0.25. Let v = -0.09 + k. What is the third smallest value in v, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 164\/(-20) - 12\/(-60). What is the nearest to -2\/13 in -5, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*11305705\nAnswer: -11305705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b - 19. Let u(w) = 8*w + 19. Let j be (-42)\/(-8) - ((-2)\/(-1) + (-441)\/252). What is j*u(t) + 6*k(t)?\nAnswer: -2*t - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g*w*z - 4*g*w - 3*g*y*z - 5*g + w*z - 7*y*z - 4*y wrt g?\nAnswer: w*z - 4*w - 3*y*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**2. Let g(u) = 7*u**2 - 5*u + 5. Let j(r) = 4*r**2 - 3*r + 3. Let i(a) = 6*g(a) - 10*j(a). Give i(x(c)).\nAnswer: 98*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*n**5 + 17*n**4 - 7*n**3 + 45*n**2 - 76 wrt n.\nAnswer: 360*n**2 + 408*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 1504 - 1504 + 3*y + 0*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261565, -261563, -261563, -261565, -261569, -261575, -261583?\nAnswer: -261593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/6)\/(3\/(-9)). Let q be (-1 - 4)\/a*-3. Let t = 2 - 6. Put t, -2, q in increasing order.\nAnswer: t, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**9\/30240 - r**8\/2520 + r**7\/504 - r**6\/180 + r**5\/30 + 3*r**2. Let y(q) be the third derivative of j(q). Factor y(k).\nAnswer: 2*(k - 2)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 49 = 5*o, -20*h + 116 - 51 = 5*o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28923.26 litres to millilitres.\nAnswer: 28923260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.3. Let g be (-35)\/11 + 3 + ((-845)\/(-110) - 7). What is the closest to -2\/7 in r, 1\/14, g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 130 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 559 divide 64825553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + 0*m)*(-9*m + 18*m + 7*m)*((3*m - 2*m - 2*m)*(1 - 1 + 2*m) - 1 - 2*m**2 + 1 + 3 + 2*m**2 - 3).\nAnswer: 64*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**2. Let q(u) = -17*u**2 - 21*u**2 + 41*u**2. Determine q(z(v)).\nAnswer: 108*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -198, -292, -384, -474, -562, -648?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -112371, -224776, -337179, -449580?\n\"Answer: s**2 - 112408*s + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.16*1100.\nAnswer: 4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-328)\/(-12) - 25 - 3\/(-1)*-1. What is the closest to 0.01 in -2, 0.3, 26, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -3. Suppose -4*w + h + 9 = 0. Suppose -3*v + 193 = -w. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17694524 * -0.5\nAnswer: -8847262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 24389*g - 1828902. Calculate b(75).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -14. Suppose -k*q = -4*v + 28, 0 = -3*v - q - 4*q + 13. Factor 3*n**3 + 2*n**3 - v*n**3 + n**2.\nAnswer: -n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 318197472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*j**3 - j**4 - 3*j**4 + 4 + 5*j**3 + 2*j**4 with respect to j.\nAnswer: -8*j**3 + 63*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 = -2*f. Suppose 1070 = 17*q - f*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 5. Let q be m(-4). Let f be (15\/(-9)*-1)\/q. Let s = f + -44\/63. Sort 2, -1, s in descending order.\nAnswer: 2, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 2. Let r(a) = -36*a - 1. Is r(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s**3 + 3*s**3 - 5*s**3)*(-88*s + 50*s + 180*s) + 67*s**4 + 77 - 77 to g + n*s + x*s**4 + c*s**3 + y*s**2 and give x.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3280.2 - -3296.7169. Let i = s + -16.5. Round i to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from eevvvveevveveevevevv?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -15\/30482?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*r - 1 + 8 = 0, 2*x + 5*r = 1. Suppose -32 = 2*k - 2*n, n = -x*k - 24 - 40. Let z = k + 28. Solve -u = u - z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11826 by -38467.\nAnswer: 11826\/38467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -4 + (-4)\/(-6). Let a(o) = o**2 - 5*o + 2. Let d be a(5). Suppose -j + 3 = d*j. Put t, -2\/5, j in decreasing order.\nAnswer: j, t, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36811, -36660, -36363, -35884, -35187, -34236, -32995?\nAnswer: -31428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**2\/2 - 5*q - 281. Let g(k) = -k - 1. Let a be ((-12)\/(-15))\/((-4)\/(-30)). Let y be g(a). Determine c(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-440)\/(-9900))\/((-8)\/18)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 10212111122?\nAnswer: -10212111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from frfkkmmmmmkfmrmrxrm.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x - s + 2, 5*x - 5*s + 40 = 0. Let l = 0.1 - 0.1. Which is the third smallest value? (a) x (b) 0.4 (c) l (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 times 0.08\nAnswer: -6.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 47197*x - 4. Let k be p(5). Let q be (2\/(-4))\/(1\/(-48038)). Suppose -q = -2*r + k. What is r rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and -0.5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1338321 and 348?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*v = -v - 144, 82 = -g - 4*v. Let s be g\/(-9) - 4\/3. Solve 4*d = s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1764*q + 1610*q + 8*q**3 - 3374*q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 93082 = -4*s, 3*s + 6324 = -5*j + 76101. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 16. Suppose 3*i - 9 = c, -3*m - 2*i = i - 231. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946822?\nAnswer: 2, 473411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 22*b**2 - 11*b - 15. Let p be t(21). Suppose 0*v - 3*v = 2*u - 92, 5*v = 5*u + p. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 73935946, 73935944, 73935942?\n\"Answer: -2*n + 73935948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 628.954 millennia to months.\nAnswer: 7547448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 + -124. Suppose 0 = -2*z + 8, -70 + 699 = -5*h - g*z. Put 1, -1, h in decreasing order.\nAnswer: 1, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99461 (base 10) in base 2?\nAnswer: -11000010010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.457 and -127.\nAnswer: -126.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)\/sqrt(11)*4)**2 + ((sqrt(175) + -5)**2 + sqrt(7) - sqrt(7)) + 2)*-3.\nAnswer: -942 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c. Let v(r) = -103*r + 115. Let m(g) = -26*g + 30. Let n(i) = -23*m(i) + 6*v(i). Determine n(l(u)).\nAnswer: -220*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1733093657.\nAnswer: 31, 41, 73, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1042*l - 749193. Give a(-719).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -4781975.\nAnswer: -4781975, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(44) - sqrt(11)) - (sqrt(1584) + 0 + (-1 + sqrt(275) - sqrt(11))).\nAnswer: -17*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -26961 (c) -19\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*f**2 - 2*f - 60*f**2 - 427 + 35*f**2.\nAnswer: 35*f**2 - 2*f - 427","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyypyyyyyyyyyyy. Give prob of sequence pyp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 410577.09 hours?\nAnswer: 2443.91125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3205 and 451385.\nAnswer: 289337785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-35))\/(25\/(-105)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65514 (base 8) in base 13?\nAnswer: c66c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*-35.\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 893\/2 or 2\/9?\nAnswer: 893\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3317 and 226519.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, o: 6, v: 7, x: 6}. What is prob of picking 2 o?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2918, -5840, -8762, -11684, -14606, -17528?\nAnswer: -20450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 - 1308 - k**2 - 365 - 763 + k in the form j + c*k + h*k**2 and give j.\nAnswer: -2436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 72 = 215. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and (24\/10)\/((-60)\/(-200)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/5979097?\nAnswer: -2\/5979097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-124)\/155)\/(7908\/(-660) + 12)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232548558839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-28)\/16 - -1). Let f be 1190\/(1 - 8\/g). Let k = -3190 - f. What is k rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32311.5 + -32314. Which is the second smallest value? (a) y (b) -17 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, z: 4}. Give prob of sequence zxz.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 54, 0.84, 4.\nAnswer: -1\/4, 0.84, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1.6 (b) 0.2 (c) -0.096\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254*-0.0396.\nAnswer: 10.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/((-25)\/(-10)*16\/1600).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t**3 - t)*(5666*t**2 + 7429*t**2 - 2642*t**2).\nAnswer: -20906*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 114534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.6395864ms in days?\nAnswer: 0.00000026203225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-310)\/(-55) - 160\/(-440). Solve -h = i - 5*l + 2, 6 = -i + 3*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -207 * 20\nAnswer: -4140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -565*l**3*z**2 - 11*l**3 - 2*l**2*s**2*z + l**2*s*z - 2*l*s**2*z**2 wrt z.\nAnswer: -1130*l**3 - 4*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 3*w**2 + w - 1. Give b(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1864.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12901, -12840, -12779?\n\"Answer: 61*r - 12962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350)*2*4)\/(sqrt(700)*1))\/(5*sqrt(250)*3*3).\nAnswer: 4*sqrt(5)\/1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -901*g*o**3*r**3 + 1612*g*o**3 + g*o**2*r**2*x + g*o**2*r + 2*g*r**3*x - 2*g*r - 1472*g + 4*o**3*r*x - 2*o**2*r wrt o.\nAnswer: -5406*g*r**3 + 9672*g + 24*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*g + 1019*g + 1520*g + 1805*g.\nAnswer: 4151*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 20*t**2 - 5*t - 7. Let d(r) = 7*r + 44. Let n be d(-9). Is l(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -1\/4*j**4 + 2 - 3*j**2 - 10*j + 8\/3*j**3. Let m be z(7). Which is the second biggest value? (a) 3 (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21122100 - -12011?\nAnswer: 21211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3101, -6202, -9301, -12398, -15493, -18586?\n\"Answer: p**2 - 3104*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*i = -5*z + 96*i, -2*i = 3*z - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300.63 take away 275.06?\nAnswer: -1575.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.808 - -0.092. Let i = a - 1.9. Let h = i - 13.7. Sort h, 0.2, -3.\nAnswer: -3, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -92? (a) -2\/3 (b) 1\/3 (c) 0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33 - 35 - 4*i + 4*i - 1 - 2*i - 27*i**5 wrt i.\nAnswer: -540*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 6*j**2 - 21*j - 29. Calculate i(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 71. Let l be c(-19). Suppose -4*b - f = -14375, l*f = -24*b + 22*b + 7201. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -21. Let d be (f\/35)\/((-4)\/(-10)). Solve 0 = -3*r - r - 4*p - 32, -d*p + 2 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000599 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130894991 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(-230))\/(11\/(330\/1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z. Let f(t) be the first derivative of t**4\/12 + 5*t**2\/2 + 10. Let o(r) be the second derivative of f(r). What is o(i(d))?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + a**2 - 3*a. Let l be w(2). Suppose 24*s - 27*s = -l. Suppose k = 5*v - 863, s*v = -v + 4*k + 528. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35775 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*sqrt(2736) + sqrt(2736)) + 1 + 4*(sqrt(2736)*-5 + sqrt(2736) + -1 + sqrt(2736)).\nAnswer: -3 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 1. Let u(k) be the first derivative of k**2 - 15*k + 3. Let n(x) = 4*h(x) - u(x). Let t be n(-8). Is 5 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/115? (a) -4 (b) 1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) 2 (c) 2\/27 (d) 130 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 48*i - 71253 = -116*i. Solve 4*t - 747 + i = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3386, -3380, -3364, -3332, -3278?\n\"Answer: m**3 - m**2 + 2*m - 3388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8 - 144*w**2 + 191*w**3 - 21 - 1404*w - 168*w**3 + 16 wrt w?\nAnswer: 138*w - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 39 = m. Suppose 2*u + 3*g - 8 = -g, 2*u + m*g - 4 = 0. Which is the biggest value? (a) 6 (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1288 divide 2368081011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/2)*(g\/g**(-2))\/g*g)**50*(g*g**(3\/5)*g\/g**4*g)**(-15) assuming g is positive.\nAnswer: g**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:08 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 20. Let g = x - -2.1. Which is greater: g or 1\/12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyh when three letters picked without replacement from ssnhy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1899178 + 3616377. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 371 - 63. What is the greatest common divisor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -7*t**6\/60 - 11*t**5\/10 - 3*t**4\/2 + 8*t**3\/3 - 16*t**2. Factor s(p).\nAnswer: -2*(p + 1)*(p + 4)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b - 14*b**2 - 8 + 7*b**2 - 3*b + 8*b**2. Give n(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 237 and 1326805?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5b46b (base 12) to base 6\nAnswer: 2351015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = v - 15. Suppose 4*z - v*f + 613 = 7*z, 2*z - 412 = -2*f. Let s = z + -49. Is s a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/13 in -5, 69, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(3680\/(-1080)))\/(-2)?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 4 - 7*-1. Suppose 10 = -2*k, 0 = 2*v - z*k + 2*k - 45. Solve -2*r - v = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -20. Suppose -4*j = 5*p - 166, -p - 108 - 114 = -5*j. Let a = j + d. Calculate the remainder when a is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 + (-3 - (6 - 14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130 plus 27.534207?\nAnswer: -1102.465793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5163440 divided by 645430.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 807\/124 + -1\/124. Let b = 69\/10 - f. Factor 0*k - 4\/5*k**3 + 2\/5*k**2 + 0 + b*k**4.\nAnswer: 2*k**2*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16721643\/190 + 88008. What is the common denominator of 41\/12 and m?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -594\/35 - -2271\/140. Sort x, 5\/2, -4, 4, -3.\nAnswer: -4, -3, x, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -3391?\nAnswer: -3387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174790324?\nAnswer: 2, 73, 277, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 1 = 6*g. Let b = -8 + 10. Suppose -b*p + q - 9 = -5*p, g*q - 5 = -5*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f + 26. Let t be j(8). Solve 3*b - t*v = -3*v + 4, -20 = 4*b - 5*v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(13) - sqrt(65)\/(1*sqrt(5))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183585.\nAnswer: 3, 5, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*y - 0*q - 12, 0 = 2*y + q - 7. What is the tens digit of (15\/(3\/y) - 3) + 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -6 (b) 0.3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 5)*(-1 - -1)*10\/(-80)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -16222\/353 = -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5, -1\/3, -4 in descending order.\nAnswer: -1\/3, -0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1199072)\/(-80) - (-30)\/50. Is 14988 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 579785.\nAnswer: -579784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 39 = -2*r, 21*r = 17*r - 6*f + 66. Sort 3, 1, r, -1 in ascending order.\nAnswer: -1, 1, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*u + 250 = -369 - 71 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 226600 and 16.\nAnswer: 453200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/13)*t*t)\/(t\/(t\/((t**(-3)*t)\/t*t))*t)*((t**(-2\/11)\/t)\/t*t)\/(t\/(t*t*t*t**7*t)) assuming t is positive.\nAnswer: t**(1811\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x = -499*x - 244 - 3860 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 7 + v - 3)*(5*v + 2*v + 3*v) - 3*v**2 + 3*v**2 + 3*v**2.\nAnswer: 13*v**2 - 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z**3\/7 - 217896620*z**2\/7 + 1483716727007856*z\/7 + 741858417978084\/7 = 0.\nAnswer: -1\/2, 13618539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 6*f**2 + 4*f - 1. Let d be (-4)\/(-8)*(0 - 0). Suppose -30 = 5*l - n, 2*l + 3*l + n + 20 = d. Is m(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1334 and 43\/12006.\nAnswer: 12006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3087\/2 + 1544. What is the nearest to -4 in 6\/11, -0.09, k?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -103\/5 in 1\/5, 2, -3\/4, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46969 is divided by 1956.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.05500339 times -0.05\nAnswer: -0.0027501695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e - -c3cd?\nAnswer: c3ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 3. Let c be r(4). Suppose -c*g - 7 = -3*o - 3*g, 20 = 5*g. Suppose -14 - 11 = -o*j. Sort -3, j, 4 in ascending order.\nAnswer: -3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15178 is divided by 138?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n + 15. Let f(g) be the third derivative of -g**6\/120 - g**5\/15 + g**4\/12 + g**3\/2 - g**2. Does 7 divide f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 + 73 + 43 + -39\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(-4)\/6*138\/24. Do i and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-6\/5)*b))**(2\/19))**(-5\/11) assuming b is positive.\nAnswer: b**(-2\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 597048139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0, 3, 2\/1273?\nAnswer: 2\/1273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 - 5*x**3 - x**2 - x**2)*(5 + 2*x - 5).\nAnswer: -10*x**4 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4914 and 27.\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 14*v - 56 = 0. Factor 0*i + 0*i**v + 0 - 1\/2*i**3 + 1\/2*i**4.\nAnswer: i**3*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*h + 26, 2*h = -5*t + t + 20. Differentiate 4 + 0 + 2*f**4 - 6*f**t wrt f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-10\/13)*(c\/(c**(-2)\/c))**(18\/7)*c\/(c\/(c\/(c\/(c*c**(-3))*c*c)*c))*c**2*(c*c*c**(-2\/5)*c*c*c*c)**(1\/35) assuming c is positive.\nAnswer: c**(1653\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/570 - a**4\/57 + 5*a**3\/57 + 16*a**2 + 1. Suppose k(p) = 0. What is p?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*r**5 + 86*r**5 + 63*r**5 + (-3*r**4 + 5*r**4 - 3*r**4)*(4*r - r - 2*r).\nAnswer: 120*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1513, -4221, -6929?\nAnswer: -9637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**7*n))\/n*n)\/(n**(-6\/17)\/n) assuming n is positive.\nAnswer: n**(-96\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24906 minus 356.573?\nAnswer: -25262.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38\/7 + 78\/(-182). Suppose -2*c - 2*w + 720 = 0, 827 + 293 = 3*c - s*w. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1238 and -5.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 22 = -3*x, 2*y + x = 20957 - 20946 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 + 4*s + 5. Let b(r) = -r**2 - 3*r. Calculate -b(o) - w(o).\nAnswer: -4*o**2 - o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -71179 to the nearest one hundred.\nAnswer: -71200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*o - 15*o. Suppose -9*y + 0*y + 99 = o. Solve -4*v - 1 = y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1695126 and 3926.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 20. Let p be j(-16). Let u = p - -56. Suppose 2*s + 4*l + 16 = 0, 5*s + 3*l + 47 = s. Put u, s, -1 in descending order.\nAnswer: u, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 218560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*r**3 - 89*r**3 + 32*r**3 + 24*r**3 - 417*r - 4*r**2 + 27*r**2 wrt r.\nAnswer: -42*r + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.319 rounded to one decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1428 + -1422. Let x(c) = -17*c + 1. Let h be x(-1). Suppose -h = -9*i + f*i. Solve 0 = i*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 8*t + 2. Let g be v(8). Let h be g + (-6 - 0) + 8. Solve -5*l - 18 = -h*b + 2*b, 0 = l + 5*b - 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 7678356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -162, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2908 + -2943. What is the closest to -0.03 in -0.5, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 1, 0.04, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/3)*x)**(-2\/53)\/(x**(-1))**35 assuming x is positive.\nAnswer: x**(5551\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 209.05 to 0 decimal places.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 1)\/((-7)\/77). Let r(i) = i**3 + 13*i**2 + 8*i + 5. Let j be r(n). Let q = 52 + j. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 + 6*n**5 + n**5 + (-n + n + 2*n)*(-8*n**4 + 0*n**3 + 0*n**3).\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 4 - 4)*(-115*o + 88*o + 605*o).\nAnswer: 578*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1\/((-2)\/4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**4*r**2 - 405*b**3*r**2 - b*r**2 - 2*b*r + 381 wrt b?\nAnswer: -12*b**2*r**2 - 2430*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (5 + -2 + sqrt(216)\/(sqrt(84)\/sqrt(7)))**2).\nAnswer: 18*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (300\/60)\/(43\/(1720\/(-650))).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (426\/18*45\/6)\/((-11)\/((-484)\/110)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-1)\/((-1)\/(-156)). Suppose -8*s + 952 - 56 = 0. Let w = 174 - s. Calculate the highest common divisor of u and w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-6 + -2)*-1. Suppose 40 = 4*b - 4*i, -5*b + 6 = 4*i + 1. Put 0, o, b in descending order.\nAnswer: b, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-9\/2)*a*a*a)*((a*a**8)\/a)\/a assuming a is positive.\nAnswer: a**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -8, -5, -0.65, 7?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4902896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 5, -68\/5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1241\/7 - 177. Suppose -3*v - c = 4, -3*c + 8 = -2*v - 2. Let g be (-130)\/(-65) - (-1 + 4\/v). What is the closest to g in -3\/7, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(12\/10*(-10)\/(-6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776.112133 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from saaas?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c7d9 (base 14) to base 12.\nAnswer: -36237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 0 - (-14 - 2). Suppose -2*z + p = 3*z. Suppose 3*y - z*k = 3, -2*y + 3*k = -3*y + 17. Solve -y*r + 2 = b, -2*r + 16 - 2 = -4*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51927278 = 9*d + 30674722. What is d rounded to the nearest 100000?\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - d = 59, 2*u - 3*d - 23 = 21. Suppose u*y + 495 = 24*y. Calculate the smallest common multiple of 33 and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 0 + 4*x - 7\/2*x**2 + 1\/6*x**3. Let f be n(0). Let m(k) = -4*k**2. Let d(q) = 2*q**2. What is f*d(g) - 3*m(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6041 - 4?\nAnswer: 6036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35819 and 2193.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465025?\nAnswer: 5, 11, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8196 = 75*r + 8196. Solve r + 0*c**3 + 64\/7*c - 48\/7*c**2 + 4\/7*c**4 = 0 for c.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - k - 2488631 = 1679649. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-42))\/(30\/35).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-960)\/144*(-168)\/(-32).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 135\/2*p**3 + 105*p**2 + 18 + 285\/4*p + 15*p**4 - 3\/4*p**5.\nAnswer: -3*(p - 24)*(p + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*3\/(-15)*-1 + 2. Solve 5*j - 4 = -2*h, b*j - 4 = -7*h + 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.2 + 12. Sort -0.5, f, 4.\nAnswer: -0.5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j**2 + 32*j**2 + 27415*j**3 + j - 27416*j**3.\nAnswer: -j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (sqrt(3)*1 + -3 - sqrt(33)\/(sqrt(33)\/sqrt(3)))**2 + (sqrt(36)\/sqrt(588) - sqrt(12)\/(sqrt(4) - (sqrt(8)\/sqrt(2) - sqrt(4)))).\nAnswer: -6*sqrt(3)\/7 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -1645342.53\nAnswer: -1645342.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**2 - 54*g - 195 = 0.\nAnswer: -13, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1944\/243)\/(-1*1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*6900\/(-400).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -32.\nAnswer: 61\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8.6*0.5\nAnswer: 4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 19*y = -64 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.256 - -0.31339. Let t = q - 0.058. Round t to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2482 times 2\nAnswer: -4964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, g: 1, l: 1, n: 5, w: 6}. What is prob of picking 1 t, 2 w, and 1 g?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 + 8*w - 6. Let g be u(-7). Suppose -5*q = 34 - g. Suppose 5*m = -3*z + q, 5*z = 6*z - m - 12. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 e when three letters picked without replacement from emceuc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a**0*a)\/a)\/a)\/a)\/a)**(-2)*a\/a**(-1\/2)*a*a**(2\/9) assuming a is positive.\nAnswer: a**(157\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18017, 18059, 18103, 18149, 18197?\nAnswer: 18247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*j - 0*r - 133, -2*j + 60 = -4*r. Let q = j - 13. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*11\/176*-16?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzoq when four letters picked without replacement from {o: 4, q: 1, z: 4, y: 6, w: 3, g: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1197*k - 9736. Give p(-8).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55\/61473 or -1\/38?\nAnswer: -55\/61473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + 68*m - 8. Give r(1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -3\/2, 1.1, 3 in decreasing order.\nAnswer: 3, 1.1, -1\/4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 + 1)*(16 - 16 - 42*s)*(0 - 4 + 1).\nAnswer: 1386*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5 + 5*k**4 - 3*k**3 - 5*k**2 - k = 0. Calculate k.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 - 652*z + 6*z**2 - 504*z - 4*z + z**3 + 27.\nAnswer: 4*z**3 + 6*z**2 - 1160*z + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 17*h**2 - 30*h + 3. Let p be z(-15). Determine q so that 0*q**2 + 0 - 2\/9*q**p + 2\/9*q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:29 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.353 - -7.3. Let u = k + 5.753. Let x = 6.7 - u. Sort x, -3, -8 in descending order.\nAnswer: x, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768405.\nAnswer: 3, 5, 11, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 10:00 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-20)*f)**(-39) assuming f is positive.\nAnswer: f**741","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**6\/120 - v**5\/5 + v**4\/12 + 29*v**3\/6 - v**2 - 31*v. Let h = 4 + -16. Let g be s(h). Solve -g*m - 9 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*o - 10*o + 21*o + (1 + 1 - 1)*(2*o - o + 0*o).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:49 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.04 + -0.04. Let y = -12.3 + h. Suppose 0 = 4*c - 4*l + 12, -4*c + 3*l - 4*l - 7 = 0. What is the nearest to -0.1 in y, c, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g**2 + 3*g + 4. Let r(u) = u**2 - u - 1. Suppose 9 + 15 = 4*m. Let p(x) = m*r(x) + 2*h(x). What is the derivative of p(f) wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317 is divided by 189\/5 + 18\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37\/258 + -1\/43. Put a, -2\/3, -3 in ascending order.\nAnswer: -3, -2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + p - 3 = 2*p, 0 = 3*a - 4*p + 8. Suppose 75 = w + a*r, 4*w - 2*w + r - 122 = 0. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 107467623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) 2\/17 (b) 4738\/15 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-10))\/((-17)\/(2040\/50))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -40, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(-720)*(-1122)\/357*-20.\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1037768471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -24437*l**2 + 12222*l**2 - 76*l**4 + 12217*l**2 - 14*l + 0*l as n*l**4 + t*l**2 + v*l**3 + a*l + k and give n.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - r + 15. Suppose -2*a = 2*v, a + 2*v - 12 = -r*v. Let l be (a\/(-2))\/(2\/4). Solve -23 - 11 = 5*f + l*s, 0 = -4*f + s - 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-204)\/68*66\/44*4\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 26*d**3 - 129*d**2 - 200*d - 96. Let o(a) = 3*a**3 - 16*a**2 - 25*a - 12. Let t(u) = 51*o(u) - 6*r(u). Find k such that t(k) = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 2*x - 2. Let u(g) be the first derivative of g**3\/3 + g**2\/2 + g + 63. Let l be 2\/3 - (-8)\/6. Let h(r) = l*u(r) + f(r). Factor h(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/177, 0, -31, -1\/3?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**2 - 12*c**2 + c**3 - 3*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a milligram in micrograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-10))**(-22) assuming t is positive.\nAnswer: t**198","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 0*m + 9*m**4 + 6*m**4 + 8*m**2 - 13*m**4 - m**3 to f*m**3 + j*m**4 + o*m + s*m**2 + n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28915 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 6*x**2 - 4. Let r be u(-6). Let w(s) = 5*s + 3 - 2 + 0. Let z(c) = -87 - 6*c + 42 + 44. Determine r*z(g) - 5*w(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*h - 30*h - h**3 + 58*h + 0*h**2 + 2*h**2 in the form b*h**2 + v*h**3 + i*h + c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.27 - -0.2838. Round j to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4\/7 (b) -4 (c) -0.5 (d) 3\/5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**8\/112 + 23*h**4\/24 + 7*h**2. Find the second derivative of o(q) wrt q.\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 75832 + 218. Is 45 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1121011331 - -10322?\nAnswer: 1121022313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 126, 268, 410, 552, 694, 836?\n\"Answer: 142*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2997 (base 10) to base 2\nAnswer: -101110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21027 - -21176. Solve 13*s = u - 71 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -10 - 12 - -8) + 13 + -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2546651 (base 9) in base 3?\nAnswer: 2121120201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 + -169.876. Let o = 0.876 + h. What is the nearest to 1 in -0.4, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24337032 by 12168516.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -23*v**8\/336 + 7*v**5\/30 + v**4\/12 - 3*v**2 - 4*v. What is the third derivative of m(g) wrt g?\nAnswer: -1380*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 - (9 - 16 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3 - 3)*((-38 + 17 + 15)*(-27 + 44 + 2*x + 6) + (2*x - 2*x - x)*(3 + 0 - 2) + 0 + 0 - 2*x + 2*x + 0*x + 0*x).\nAnswer: 26*x**2 + 276*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9409*a + 14858 = -9086*a for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (857 + -858 - (4 + (-1 - 1))) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/6 - 7*w**2\/2 - 12*w. Let i(o) be the first derivative of s(o). Let n(a) = 7*a. Calculate n(i(b)).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-21)\/(y**20*y) assuming y is positive.\nAnswer: y**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 29*c**2 - c + 33. Let f be k(29). Suppose 4*s - 38 = 6*n - f*n, -n = 3. Factor 47*p + 52*p + 52*p - 2*p**2 + s - 143*p - 2*p**3.\nAnswer: -2*(p - 2)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 18*b - 39 + 149, 2*b + 2 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/2*2\/4. Suppose 5*w = b*s - 0*w - 30, 0 = -4*s + 2*w + 36. What is the lowest common multiple of 4 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 5:57 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + r. Let q(u) = u**2 - 9*u - 11. Let d be q(10). Let g be n(d). Which is the third biggest value? (a) -0.4 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -150583792 greater than -150583792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/78)\/((-1)\/(-18)*2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-9) - 364\/(-819)) + (-1 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6324652 (base 7) to base 4\nAnswer: -2322033010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 714166401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6 = -0*x. Let o(p) = p + 8. Let k be o(x). Let z be ((1 - -2) + -3)\/(k + 0). Solve z*l = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/4 and -85\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c, 4 - 19 = -3*n + 4*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + r**5 - 3*r**5 + (-3*r + 2*r - r)*(-2*r**4 + r - r).\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 29466 and 763?\nAnswer: 28703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(6*sqrt(468)*-1 + 3))**2.\nAnswer: -303426 + 3888*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 726, 3010, 6808, 12114, 18922, 27226, 37020?\nAnswer: 48298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0 + 0*t**4 - 3\/20*t**6 + 0*t**5 + 3\/2*t**3 - 21*t**2 + 0*t. What is the derivative of b(a) wrt a?\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421113 = -8430*f + 2961*f for f.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31702 and 401122?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38 + -3254b?\nAnswer: -32587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 12*t + 192000 = 0. What is t rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p + 24 = 0. Let x be (-2)\/4*p + 5. Let z be 1633*-6 - x\/4. Round z to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/(16\/(-256)). Let z = w + 29. Solve z*h - 6*h + 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 9 - 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**4 + 612*j**3 - 3*j**2 + 160874*j wrt j?\nAnswer: 36*j**2 + 3672*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*f - 55*f = -106*f - 447 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6616.962 decades in centuries?\nAnswer: 661.6962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 9 + 11 + 10 - 4*k to the form z*k + m and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586?\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35342, -71026, -107040, -143384, -180058, -217062?\n\"Answer: -165*o**2 - 35189*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 776 or -270?\nAnswer: 776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3691436 greater than or equal to -3691416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -33, 1, 0.4 in descending order.\nAnswer: 1, 0.4, 2\/13, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - n**2 - 7*n + 4*n)*(6 - 3 - 1 + (2 + 1 - 2)*(-3 + 2 + 2) + 1 + 1 + 0 - 1 + 0 + 0 - 1 - 3 + 2 + (1 - 1 + 2)*(3 - 1 - 4)).\nAnswer: 4*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 441064 + -14\nAnswer: 441050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261049 and 4496?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165731637 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2 - 4 + 3 - 52*a. Let x be (52\/(-156))\/(((-2)\/(-60))\/1). Is m(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 480408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (0 + 2 + 2 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/5 + 3)\/((-84)\/21).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 27. Suppose f = -3*j + j + 6. Calculate the highest common factor of 6 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15770 is divided by 5247.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 52. Let t be g(26). Suppose t = -9*k + 8*k - 44. Let h = 407 - k. What is the greatest common factor of h and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**4\/12 - i**3\/2 + 7*i**2\/2 + 5*i. Suppose -25 = 5*t - 0*t. Let x be n(t). Is x > -7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6 - 65*p**4 - 68*p**4 + 133*p**4 - 6*p + p**5 wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1163 - -1163. Solve q = 32*a - 109 - 51 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 32. What is the nearest to -2\/9 in t, 1\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*y - y + 17, 2*y - 18 = -2*i. Suppose -d + i*k = -6*d + 181, 5*k = -4*d + 152. Suppose -35 - d = -2*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3128794389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -33. Let y(n) = -n**2 + 8*n + 10. Let q be y(9). What is the remainder when h is divided by 108\/8 + q\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-2.85948772\nAnswer: 0.0285948772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5*l)\/l)\/(l**(-8)\/l) assuming l is positive.\nAnswer: l**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 5*u**2 + 8*u - 9. Let l be y(6). What is the second derivative of 3*r**3 + 2*r + 4*r - 5*r - 6*r**l wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831 - 10386 = -233*q + 6062 - 1870 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4 = -4*k. Let f = 0.118 + -0.06. Let u = 2.058 - f. Is u at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 1 + 1\/24*h**4 - 1\/90*h**6 + 0*h**2 + 0*h + h**3 + 0*h**5. Let d(b) be the third derivative of o(b). Determine d(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - 10551\nAnswer: -10582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (791 - 789) + (1 - (17 + 1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 69*r - 892 - 449 - 28 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*f**4 - 1171?\nAnswer: 136*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/((-5)\/3 - -2). Suppose -2*y + 5*v + 26 = 0, 5*v = 3*y - 18 - 16. Solve -x*m - y = -w + 1, -2*m = 5*w + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (321\/1926)\/((-26)\/(-312)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -49. Suppose 5*h + 33 = b. Which is smaller: h or -3\/23?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -1)*7 - (-1404)\/208. Put 3, 3\/4, 0.57, y in decreasing order.\nAnswer: 3, 3\/4, 0.57, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18083 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 494719631?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8303, 16608, 24911, 33212, 41511, 49808, 58103?\n\"Answer: -z**2 + 8308*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/2394*19 + 1448\/252?\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20892, -20940, -20988, -21030, -21060, -21072?\n\"Answer: o**3 - 6*o**2 - 37*o - 20850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*(-4 + 152\/32).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-1071)\/(-187)))\/(2\/(-18)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -167*h + 185*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/19 (b) -5 (c) 17 (d) 12\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c. Let n(r) be the second derivative of -25*r**3\/6 + 71*r. Give l(n(g)).\nAnswer: -50*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1005846335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -9, -8\/5, 3.2, 2\/3, -0.2, 2\/19?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -186*f + 203*f. Let p be (427\/27 + f)*6\/(-5). Factor 4\/9*r - 1\/3*r**3 + p*r**4 + 0 + 1\/9*r**5 - 4\/9*r**2.\nAnswer: r*(r - 1)**2*(r + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.1 + -9.1. Do j and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4079 - -6564. What are the prime factors of w?\nAnswer: 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 greater than -3355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 8*m**2 + 11*m + 8. Suppose -49 = 9*d + 32. Determine o(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4486*l = -4497*l + 68, 0 = -2*i + 4*l - 22 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from jpbrbpjddrrppr?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.75 + -0.25. Let s = 1989\/14021 + 2\/2003. What is the nearest to 0 in z, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10600 and 3074.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/146952 and 35\/57852?\nAnswer: 236151864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + v**3 + 4 - 3 + 7*v in the form m*v**2 + b*v**3 + h + g*v and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1169461*x**4 - 2460683 wrt x.\nAnswer: 4677844*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 24*v. Let q(d) be the second derivative of d**4\/6 + 20*d. What is h(q(t))?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*r + 3*l, 3*r + 5*l - 6 + 8 = 0. Solve -20 = -4*d - u, -2*d - 3*u = -r*u + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274889735 to the nearest integer?\nAnswer: 16580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/22, 1.5, 0.07, 32.1 in decreasing order.\nAnswer: 32.1, 1.5, 0.07, -3\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 3969.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*m + 31 + 9. Find the first derivative of -192 - 21 + 135*k**m - 77*k**2 + 0 wrt k.\nAnswer: 116*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13111 is divided by 6546?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 7*y + 6. Let s(j) = -j + 10. Let k be s(6). Suppose 102 = k*r - 54. Let q = -32 + r. What is u(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 2*r - 2*q + 106, 26 = r - 2*q. Suppose -r*i = -20*i - 72. What is the remainder when 71 is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440\/10*((-7)\/28)\/((-2)\/4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185614 (base 10) to base 4.\nAnswer: 231110032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -6*u + 2. Let o(a) = 15*a**3 - a**2 + a - 1. Calculate the remainder when 27 is divided by o(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32251739 is divided by 3111.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6740720 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/3813 and 34\/29582525?\nAnswer: 88747575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**5*y + 6345*b**4 + 183485*b*y wrt b?\nAnswer: 80*b**3*y + 76140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6345 - 6344. Let u = 4.89 - -0.11. What is the nearest to h in 2, -1\/6, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let w(o) be the first derivative of -2*o**3 - 2. What is w(f(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/((-235)\/85*3638\/(-321)).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 - 3*j**2 + 0*j**2)*(-26*j**2 - 19*j**2 + 71*j**2 + (-j + 0*j + 3*j)*(-2*j + 5*j - 4*j) - 3*j**2 - 3*j**2 + 7*j**2 + j**2 + 0*j**2 + 53*j - 68*j).\nAnswer: 78*j**4 - 45*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -810, -1690, -2566, -3438, -4306?\n\"Answer: 2*u**2 - 886*u + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13349773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 - 7*c**3 - 70*c + 7 + 74*c + 5*c**3 to d*c**3 + l*c**4 + n*c + k*c**2 + i and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c + 3 = 0. Let v = c + 0. Let i = v + 2. Which is smaller: -5\/4 or i?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70\/10141 or -1?\nAnswer: 70\/10141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-196))\/(2\/(-70))*-4*2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + v. Suppose v = 2*m - 3*k + 7*k + 16, -4*m + 5*k + 20 = 0. Suppose 36*d - 34*d - 902 = m. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60769762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 181.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32785\/(-237)*2\/(-20) - 330\/396?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 7*z + 46. Let i be h(-11). Suppose -2*s + i*q + 3*q + 919 = 0, 5*q = -4*s + 1823. Is 40 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 244 + -21. Let q = 334 - x. Suppose 0 = -2*t - 323 - q. What is t rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3206 and 9436.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**5\/20 - f**4\/4 - 5*f**3\/6 + 3*f**2 - f. Let d be (22 - 23)\/((1 + 2)\/(-15)). Is w(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1625 - 1625 + 5*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -703, -2518, -5515, -9694, -15055, -21598?\n\"Answer: -591*q**2 - 42*q - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 6*i**2 + 90*i - 102. Determine z(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.18 + 1.18. Sort -2\/3, -0.4, w, 3 in descending order.\nAnswer: 3, w, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1852*k - 5*k**2 + 11 + 1852*k as o + u*k**2 + n*k and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 + 11680768*g**4 + 46723060*g**3 + 46723056*g**2.\nAnswer: g**2*(g + 2)**2*(g + 11680764)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7963413?\nAnswer: 3, 19, 139709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + 20*s - 7. Let d be j(9). Suppose d*a = a + 60. Calculate the remainder when 33 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*2 - 4\/2. Let d(t) = t - 3. Let q(i) = -i + 2. Let o(m) = -3*d(m) - 4*q(m). Determine o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 1.535?\nAnswer: 0.7675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, 0, 143295 in descending order.\nAnswer: 143295, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 7*v. Let a = -66 + 59. Determine i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2429, 9467, 21243, 37757, 59009, 84999, 115727?\nAnswer: 151193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 1:25 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 11) in base 14?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 0)*(-2*y**3 - 3*y**2 + 3*y**2) + (-2 + 2 + 2*y)*(-6*y**2 - 8*y**2 - 17*y**2) to the form k + j*y + g*y**3 + z*y**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -238 - -1670\/7. Let x = 11 - 10. Let h = x + -5. Which is the third smallest value? (a) f (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48076 times 0.01\nAnswer: -480.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 6*t**2 + 4*t - 5. Let u(b) be the second derivative of -b**3\/6 - 5*b**2 - 5*b. Let h be u(-6). List the prime factors of p(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 3. Let j be 14\/((-35)\/(-5))*(5 - 141\/30). What is the second smallest value in -0.2, v, j, 9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)*2 + sqrt(48)\/sqrt(18))\/(1*sqrt(8)*2 + sqrt(128)*1) + -3)**2.\nAnswer: -31*sqrt(3)\/3 + 1933\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 3261621?\nAnswer: 3261616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 270 - 180. What is the highest common factor of s and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1124*q - 504*q + 21716 - 564*q - 21716 in the form y + z*q and give z.\nAnswer: -2192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374500, -374508, -374528, -374566, -374628, -374720, -374848, -375018?\nAnswer: -375236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**4 - o - 8522 + 8516 - 2*o**2 + 0*o**4 in the form r + t*o**3 + k*o**2 + w*o**4 + d*o and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 37*z + 350. Let s be y(22). Suppose 0*j + j = 5*r - 39, -15 = -2*r + j. What is the highest common factor of s and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1467237527 to the nearest integer?\nAnswer: 38305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**5\/30 - 26*d**2. Let a(p) = 3*p**2 - 3*p**2 - p**2. What is a(r(t))?\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 6*w + 0*w + 0*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0.1, 26, 4, -3\/167?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**2 - 2*c**2 + 0*c**2)*(-1 + 0 + 9*c + 5) as j*c + a*c**3 + t + n*c**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1936842.\nAnswer: 2, 3, 322807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1416 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28307591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 168 = 152, -3*j + 5*d = 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*d**2 + 14*d + 28*d - 25*d - 8*d + d**2.\nAnswer: 62*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -546 + 2191\/4. Let a(b) be the first derivative of -n*b**4 + 0*b + 0*b**3 + 2*b**2 + 8. What is the second derivative of a(w) wrt w?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227717 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1041165797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 117*i**2 - 2835*i + 2863. Give t(-82).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**3\/2 + 2*i**2 + 14*i. Let j(c) be the second derivative of c**3\/6 + c**2\/2 - 17*c. What is -4*j(u) + z(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*t + 55, 2*t + y - 40 = -t. Let l = t - 39. Calculate the lowest common multiple of (1 + l)*(-16)\/40 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/2592 and -113\/334656?\nAnswer: 3011904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20395 divided by 20395.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 2. Let j(l) be the second derivative of -l**3\/6 + l**2\/2 + 3*l. Calculate 3*j(a) - x(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.0129187\nAnswer: -0.00387561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2493014 - -5?\nAnswer: 2493019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1417*k - 1590. Is y(23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 30. Suppose 4*p - 442 = -386. Calculate the remainder when f is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 20664?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5 = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 185 + 259)*(w + 2*w + w)*(-w - w + 3*w) as m*w + o*w**2 + r and give o.\nAnswer: 1708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*m - 433*m + 43*m.\nAnswer: -591*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-1 - 4)*24\/(-156). Determine f, given that 4\/13*f**2 + 6\/13*f**3 - u*f**4 + 16\/13 - 24\/13*f = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/11 - 27572*o**2\/11 - 75765810*o\/11 + 12630258144.\nAnswer: -2*(o - 1232)*(o + 7509)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 - (-339)\/(41697\/(-6396))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, j: 3, c: 12}. Give prob of sequence ccjc.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**3\/3 - i**2\/2 - i. Let l(t) = -t**2 + 6*t - 5. Let b be l(4). Suppose u - 5 + b = 0. What is p(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s - 3*s + s + ((-2 + 5 - 5)*(-7 + 3 + 3) - 1 - 3 + 5 + 3 - 2 + 0 - 3 + 0 + 4)*(-5120*s - 5266*s + 10818*s) to the form o + u*s and give u.\nAnswer: 2163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15940000 rounded to the nearest 100000?\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47148036 is divided by 602?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143433696.\nAnswer: 2, 3, 7, 461, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5)*6 + sqrt(3) + 5*sqrt(48))**2.\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 20 = -13*w. Suppose -2*u = 4, -4*r + 2*u = -2*u - w. Which is the closest to -2? (a) 5 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*m + 59 + 743*m - 2*m**3 - 111 + 53.\nAnswer: -2*m**3 + 449*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*v**2 + 297*v**2 - 253*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12082 + -49827\/4. Suppose 2*d - 4*q - 67 = -831, 0 = 5*q + 15. Let h = d - b. Calculate the common denominator of 97\/14 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236d7a (base 16) in base 3?\nAnswer: 11100221220002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:24 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*a = 12 + 11, j + 4*a - 19 = 0. Let y = 5 - j. Let o be y\/(6\/(-9)) + -2. Sort 5, o, 4 in descending order.\nAnswer: 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 15. Let i be b\/(-15) + (-137)\/(-5). Let m = 46 - i. What is the remainder when 36 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.343 in -0.5, 0.1, -0.3, 9, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -7*i**5\/5 + 82*i + 27. Find the first derivative of d(m) wrt m.\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 526, 5, 8, -3 in increasing order.\nAnswer: -3, 5, 8, 526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - -207. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17729, 17731, 17733, 17735, 17737, 17739?\nAnswer: 17741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33358?\nAnswer: 2, 13, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*o - 301975 = -117*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2900*l - 3153. Let b be a(-1). Sort 3, b, -4, 14.\nAnswer: b, -4, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b + 25. Let k be t(-10). Suppose f + j - k*j - 595 = 0, 0 = -3*f + j + 1796. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 216?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47640378, -47640370, -47640358, -47640342, -47640322, -47640298?\nAnswer: -47640270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*i - 3*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)*j**(-3))\/(j*j*j**0)**(2\/61) assuming j is positive.\nAnswer: j**(-736\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45696436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146 + -2191\/15. Let g = n - 2\/15. Let h = 3.1 - -0.9. Put h, -1\/9, g in descending order.\nAnswer: h, -1\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 10*a**2 - 4371*a - 124814. What is s(464)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -14609 = -10697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 4)*(-24*p**4 - 1366*p**3 + 1366*p**3) as q*p**4 + t + n*p + r*p**3 + k*p**2 and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 325*l**2 - 32*l - 4 - 126*l**2 + 6 wrt l?\nAnswer: 398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11799695 and 415.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 531\/4*o**4 - 4725\/4*o + 3435\/2*o**2 + 375\/4 - 1509\/2*o**3 - 33\/4*o**5 = 0. Calculate o.\nAnswer: 1\/11, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2093)\/(-735) - 3 - (-44)\/(-330).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414118129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 268343?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-260)\/25 + 11)\/(2\/30))\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 1\/2*v**2 - 2*v + 1\/6*v**3 + 0. Let a(t) = 5*t + 5. What is -2*a(c) + 11*d(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 626*c - 308*c - 318*c - 7552*c**2 - 8386*c**2 to the form b*c**2 + j*c + d and give b.\nAnswer: -15938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4*q + 8, 4*j = 5*q + 209 - 215 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 367116, 734112, 1101094, 1468062, 1835016?\n\"Answer: -7*b**2 + 367017*b + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*h - 181, -4*j - 4*h + 61 = -79. Let z(d) = -d**2 + 25*d + 152. Let b be z(-5). Suppose -j = -b*m + 74. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -89? (a) -0.4 (b) 3 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 45*i**2 - 23*i - 30. Let k be x(23). Which is bigger: k or -213\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 10:34 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2 + o - o)*(-2*o**2 - 62*o**2 + 2*o**2 + (-2 + 2 + o)*(2*o - 2 + 2) - 4 - o**2 + 4) + (o - o**2 - o)*(-2*o + 4*o + 0*o) + o**3 + o**2 - o**2.\nAnswer: -62*o**3 + 122*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6538 and 7100735?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1839*p - 244911783 = -1980*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -6. Suppose 0 = -3*h + 5 + 1. Sort n, -4, h.\nAnswer: -4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 984 divided by 24\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5572 + 10675 + 15634 + 5333 + 17621)*(4*w - 4*w - 2*w) in the form x + l*w and give l.\nAnswer: -87382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-105)\/(-6)*48\/14. Let x be (-1 + 28\/20)*c. Suppose 2*s = 4*s - x. Calculate the highest common divisor of s and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99603782.1 rounded to the nearest 100000?\nAnswer: -99600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-146 - (-3 - (-168)\/63)*3)\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18395, -16637, -14879?\nAnswer: -13121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2965789297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-2*4 + (sqrt(91) + sqrt(91) + -1*sqrt(91) + sqrt(91))\/sqrt(7))**2 - (sqrt(1053) + -1*sqrt(1053)*-4 + sqrt(1053)).\nAnswer: -54*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, 3, 2, -1, -839?\nAnswer: -839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21072, 46058, 71044, 96030?\n\"Answer: 24986*x - 3914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/9)*l**(-5)*l\/(((l*l\/l**(-1\/10))\/l)\/l)*l*l\/(l**(-6)\/l) assuming l is positive.\nAnswer: l**(421\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 - -0.1. Let w = 2.01 + k. Let a = -2.1 + w. What is the nearest to a in -1\/5, 4, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 183721.\nAnswer: 14\/183721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4\/9 (b) -6\/11 (c) -5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 519368.434 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 212, 9, -3 in descending order.\nAnswer: 212, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**3 - 2*y - 1. Let q(t) = 4*t**2 + 3. Let z be ((-220)\/8)\/(-11)*(-12)\/10. Give z*b(v) - 2*q(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1032526, -1032524, -1032522, -1032520?\n\"Answer: 2*y - 1032528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2*10\/(-200)*15\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 2608363471?\nAnswer: -2608363470.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 302311 and 4556.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 7*d**2 - 7*d - 4. Let o be q(5). Is 10 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-100))\/(129\/215)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13808006 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2213398, 4426796, 6640194, 8853592, 11066990?\n\"Answer: 2213398*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2114 is divided by 729?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 16 = -5*l. Calculate the smallest common multiple of (6\/(-12))\/(2\/(-4)) and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14188 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 1. Let p be u(-4). Let y be (-3)\/p + (-1434)\/(-14). Let h = -1526\/15 + y. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 153?\nAnswer: 14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 11. Let x be n(10). What are the prime factors of (-3)\/(-3) + 32*x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 758394341 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - -0.38. Let o = -127 + 126.43. Let s = o - -1.57. Which is the nearest to 2? (a) 3\/2 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327242992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4089 + 38*t + 4089)*(-2*t - 2 + t + 0)*(3*t**2 + t**2 - 2*t**2) as h*t**2 + m*t + l*t**4 + x*t**3 + w and give l.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.15 + 0.15. Let q = v + 26.2. What is the nearest to -2\/7 in q, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 23*r - 27. Suppose -5*s - 82 = 23. What is the remainder when p(s) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huyyutht. Give prob of sequence huy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.082 to 1 dp.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from hhfhhghnfnnfe.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-54)*42 - 7. Which is the second smallest value? (a) i (b) -0.6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -6*s**7\/7 + s**3 - 1. What is the third derivative of t(w) wrt w?\nAnswer: -720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642815 is divided by 9594.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259.0413 tonnes to micrograms.\nAnswer: 259041300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = b + 4*z, 3*z - 327 = -2*b + 2*z. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84083*w**5 + 2*w + 3554.\nAnswer: 1681660*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 74, 2, -4, -1.\nAnswer: -4, -1, 0, 2, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -19*m**6 - 7*m**5 - 8*m**2 - 7. Let x(d) = 13*d**6 + 5*d**5 + 5*d**2 + 5. Let y(r) = 5*j(r) + 7*x(r). What is the third derivative of y(a) wrt a?\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 1351.6 (c) 1\/2 (d) -1332\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 854818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 1:15 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -1)\/2*-8. Let f be a\/20 - (-662)\/5. Calculate the greatest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/2 - (-4 - -105). Let r = u - -156. What is the highest common divisor of 130 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 1321240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3094, 14904, 34588, 62146, 97578, 140884?\n\"Answer: 3937*j**2 - j - 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -21*r**2. Let m(j) = -27*j**2 - 42*j**2 + 106*j**2 - 36*j**2. What is -i(x) - 9*m(x)?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**5\/20 + 7*t**4\/12 - 7*t**3\/6 - t**2 - 6*t. Determine v(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -264126000822 from -0.2.\nAnswer: 264126000821.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/200 and -46\/5.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140544 is divided by 227.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 182.715 + -503.556. Let j = w + 321. What is j rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}