diff --git "a/data/dm_maths/full_data_2/2102_11255.jsonl" "b/data/dm_maths/full_data_2/2102_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2102_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate 6\/(-168)*37\/(4255\/(-184)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 10*f**2 - 46. Calculate l(-10).\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 201\/(-536) + -1 + (-6)\/(-4). Let m(h) = 2*h**2 - h - 2. Let p be m(2). What is the nearest to -10\/3 in -2\/17, s, p?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8 = -2, 5 = -2*q + s. Let a be 3\/(-12) - 1\/q. Suppose a = z + 50 - 50. Solve 3*f - 12 = -z*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499*0.5.\nAnswer: 249.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 2, p: 2, j: 1, c: 8}. What is prob of picking 1 k and 1 p?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90886*q + 90886*q + 40 = 8*i, 3*q - 137 = 2*i for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(2) - sqrt(2)*2)**2 + (-3*sqrt(288) - sqrt(2)) + sqrt(32) + -5 + sqrt(14)\/(sqrt(42)\/sqrt(6))).\nAnswer: -128*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjhj when four letters picked without replacement from jjhjjhjjjh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 12 = 18*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 859 + -18895\/22. Let d = -31\/66 + j. What is the nearest to 1\/3 in 4\/9, -0.5, d?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i + 139*i = -74*i - 2405 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 2*y**5\/5 + y**4\/2 - 2*y**3\/3 - 3*y**2 + 11*y. Let n(l) = -17*l**3 - 13*l**2 + 9*l + 13. Calculate 13*a(q) + 6*n(q).\nAnswer: 2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-18)\/8) - -2. What is the closest to 0.3 in j, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-106853220\nAnswer: 32055966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 - z**2 + 3*z**2)*(-5 - 15950*z - 645*z + 5 - 829*z) in the form h*z**3 + u*z + m*z**2 + d and give h.\nAnswer: -17424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(-5*sqrt(9)) - (sqrt(162) + 0)) + 3 + sqrt(18) + 1 + sqrt(12)\/(sqrt(6)*2))**2.\nAnswer: -228*sqrt(2)\/5 + 4049\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253801378 is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1750 - 213 - 97 = 360*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/36080 and 28\/6765.\nAnswer: 108240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3851584863.\nAnswer: 3, 7, 31, 43, 223, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -73210 divided by -14642\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x - 27 = 46*x. What is the closest to -1\/4 in x, -2, -55?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 9:18 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + p + 20. Let g be 188\/10 - 2\/p. Let q be (-3766)\/(-18) - (152\/36 - 4). What is the greatest common divisor of g and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.67 + 0.33. Let c = 25 - t. Let a = -4 + c. What is the nearest to 2\/3 in a, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**5\/5 - 183*p**4\/4 - p**3\/3 - 115*p**2\/2 + 675. What is the third derivative of c(i) wrt i?\nAnswer: -24*i - 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050.77 + 2.49?\nAnswer: 2053.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 458682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 307373884 to the power of 1\/2, to the nearest integer?\nAnswer: 17532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/50*5\/2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -993*r - 8*r**2 + 993*r + 19 - r**3 as u*r + m*r**2 + x*r**3 + q and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) - 6\/4. Let u be 152\/24 + (-4)\/3. Let w = u - q. Solve 4*z + w = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 4*t - 7 = -5*b, -4*t + 8 = 4*b. Let f(h) = 3 - h + 2 + h**t + 2*h - 4 + 7*h**2. Determine f(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30030 by 6006.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211022120111 (base 3) to base 11.\nAnswer: 603350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 734537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.7 + -20.3. Let l = w + 31. Sort -0.3, 5, l, -0.1 in increasing order.\nAnswer: -0.3, -0.1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 231 + -222. Suppose -10*b + 245 = -l*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 53104 = -4*t, 3*t = -4*c - 3702 - 36113. Let h be 3\/5 + (t\/(-165))\/17. Find j, given that h + 4\/3*j**3 + 20\/3*j**2 + 32\/3*j = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 24*j + 46. Let o be t(-22). Solve 0 = p + o - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3482, -3461, -3404, -3293, -3110?\n\"Answer: 3*i**3 - 3485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.1, -1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-3*d**2 + 10*d**3 + 3*d**2 + (-d**2 - 2 + 2)*(-d + 5*d - d)).\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -831.4 * 0.1051.\nAnswer: -87.38014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -15*x + 105. Suppose -f = -x*f + 1239. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.7203784925 and -0.1.\nAnswer: 2.6203784925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 5*x**2 - 2*x + 6. Let m be t(5). What is the common denominator of 93\/4 and m\/6 + (-2561)\/312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventy-five quarters of a tonne?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j*n*u + 39468636*j*n - 892*n - 623*u + 6 wrt j.\nAnswer: 2*n*u + 39468636*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652.851513 rounded to 0 dps?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and 497\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*o - 7709 - 8897 = -508*o for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvwvqwqwqw. What is prob of picking 2 q and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4621 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 cube root of 4760153 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13998451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34\/2207 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 198*t + 2624. Let s(v) = 103*v + 1311. Let i(o) = -3*b(o) + 5*s(o). What is the first derivative of i(r) wrt r?\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.27 less than -99474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -63 - 1829093?\nAnswer: -1829156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*n**2 - 9*n**4 + 12*n**2 + (2*n + 0*n + 0*n)*(-2*n**3 + 0 + 0) + 0*n + 0*n - 2*n**4 - 1 - 18*n - 2*n**4 + 18*n.\nAnswer: -17*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 5*q + 6. Let k be s(5). Let w be 2\/6 + (-296)\/k. Let j = -32 - w. Solve -3*o = -5*g + j, -g = g - 4*o - 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1217009 is divided by 357?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 135?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s - 34*s - 148 = -443. Solve -s*v = 5*k - 5, -3*k = -5*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674887549 to the power of 1\/3, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 502.17.\nAnswer: -2008.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 - -148. What is the highest common factor of d and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**4\/16 + o**3\/2 - 3*o**2\/2 + 11*o. Solve d(t) = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 250, 606, 1104, 1744, 2526, 3450?\nAnswer: 4516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-31496)\/381*9\/(-4)*-1. Sort b, 3, -4, 5.\nAnswer: b, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 9:01 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02178 rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 782 and 48346?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -13, -27, -55, -103, -177, -283?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 191*i - 8. List the prime factors of q(2).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/45 - p**4\/6 + 4*p**3\/9 - 12*p**2. Find l, given that o(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 17*o + 19. Let k be s(16). Suppose -c + k*b + 16 = 0, -4*b - 26 - 2 = -3*c. Solve w + 1 = l - 3*w, c*w - 4 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475237997.\nAnswer: 13, 83, 440443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*a**4 - 4*a**4 + 0*a**4 + (2*a + 0*a - a)*(-3*a**3 + 5*a**3 + 0*a**3).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 0 + s + 36 + 3. Let a(g) = 20 - 26 + 12. Calculate -39*a(i) + 6*b(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1120992 and 101\/486?\nAnswer: 90800352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 + a**2 + a + 1. Let l be b(-1). What are the prime factors of (0 - (-835)\/15) + l\/3?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 772, 822, 900, 1012, 1164?\n\"Answer: m**3 + 8*m**2 + 19*m + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -58*b**2 - b - 209. Let x(j) = 2*j - 18. Determine x(n(s)).\nAnswer: -116*s**2 - 2*s - 436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 = 0, -5*h = z - 2*z - 359. Calculate the least common multiple of 54 and h.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-15)\/186*4*(-4)\/40?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.2*-2.\nAnswer: 68.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -403657 by 3.\nAnswer: -403657\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -164*u**2 - 21*u + 165*u**2 - 3 - 31. Let t be s(23). Solve t = -5*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1949\/157 greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 0*j**2 - 10*j**2 + 38*j**2 - 1 - 32*j**2 - 3*j**2.\nAnswer: -6*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 70 = d - 3*v, 0 = -v + 1. Let o = -1 - -5. Suppose -5*j = -o*q - 86, 3*j - 2*q - 70 = -j. Calculate the remainder when d is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6 = -4*r. Suppose w + 3 = r*w. Sort w, 2, 0.\nAnswer: 0, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -168, 6 in ascending order.\nAnswer: -168, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 12. Suppose -x + 73 = 2*z - 2*x, -5*x - 149 = -4*z. Suppose 0 = -3*t + z + s. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 d when three letters picked without replacement from ssxxssvhsddrx?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 290 - -8*(-1 - 4\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-2 + 1 + 2)*((-12*v + 24*v - 8*v)*(0 - 1 + 3) - 4*v + 6*v - 3*v).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/2016*27)\/(216\/(-252))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 41*v - 37*v + 21 = 0, -5*m - 5*v + 5 = 0. Put -5, 7, m, -8, 1 in descending order.\nAnswer: 7, m, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from qqpopoooopvqpo?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - u = 389, 0 = 3*t - 0*t - 3*u - 393. What is the third derivative of 129 - t - 4*s**3 - 32*s**2 wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 25*y**3 + 2 - 1 + 26*y**3. Let a be s(-1). Let h = -11 + 7. Put h, -2, a in ascending order.\nAnswer: h, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*i**4 - 2437*i**2 - 2278583*i wrt i.\nAnswer: -444*i**2 - 4874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 891030\/(-402584)*(218\/54 + -1). Let n = l + -3\/7189. Let g = -8\/9 + n. What is the common denominator of g and 17\/33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 28 = -6. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, p: 6, r: 1, q: 2, i: 1}. Give prob of sequence rrh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -15 + 0 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 2:25 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2062796\/4505 + -7791\/17. Let x = -1\/265 - d. What is the closest to x in 5, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 3)\/((4\/1)\/(-2)). Suppose a = t + 5*g, 2*t + t - g = 16. Solve -r - b = -3, 6 = -t*r + b - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133043556 divided by -398334\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.01 (c) -0.2 (d) -10 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560*t + 296*t + 258*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millisecond in nanoseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1858 - 1858. Which is the third biggest value? (a) s (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-3*u - u + 3*u)*(-49*u + u**2 + 49*u) to q*u**2 + s*u**3 + p*u + n and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2\/27, 140974, -2\/23.\nAnswer: -2\/3, -2\/23, -2\/27, 140974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 0*p = -5*p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128283004*x**5 + 5*x**2 - 8267*x - 138 wrt x?\nAnswer: 7696980240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125700455?\nAnswer: 3, 5, 11, 107, 63761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**4 - 32*a**3\/3 + 26*a**2 - 24*a + 24. Let h(w) = 0. What is w?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13246, -26666, -40086, -53506, -66926?\nAnswer: -80346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 - 8*z**2 + 26*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c + 364 = 84*c. Calculate the least common multiple of 49 and c.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818566667.\nAnswer: 83, 9862249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24063 is divided by 2017.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 280, 449, 650, 895, 1196?\nAnswer: 1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3))**(-5)\/(t**1\/t)**50)\/((t*t**(-1\/4))\/t*t**(-3\/7)*t*t**(-2\/5)\/t*t**(1\/5)) assuming t is positive.\nAnswer: t**(1769\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 589542 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/113 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 n when three letters picked without replacement from kspknkpnpksvkkvkksp.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4500 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/910 and 103\/70.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -1531?\nAnswer: -1529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-28824)\/1248 + 4\/(-26) and 79\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689345299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + 6 + -1 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 v, and 1 b when four letters picked without replacement from zzvvbsf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o + 24. Let w(s) = -3*s. Let t(m) = 32*m + 24. Let i(f) = -t(f) - 9*w(f). Give -7*i(l) - 6*p(l).\nAnswer: -l + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2035 and 2365?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 20 = -k + y, -36 = -5*k + 3*y. Let r(i) = -i**2 + 9*i - 9. Determine r(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 6*n**2 + 6*n + 2. Let h be w(5). Let t = -17 - -19. Solve -h - t = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(139\/1112)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2 - 1)*(2168 + -2096)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45774 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-0.075126908143\nAnswer: 0.024873091857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/20 + 15 + -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**4 - g**3 + 2*g - 1. Let f(w) = -370*w**3 + 2*w - 1161. Let b(q) = f(q) - u(q). Differentiate b(o) wrt o.\nAnswer: -4*o**3 - 1107*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = 3*s - 8*s - 549, -4*s + 2*s = 2*k + s + 104 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*m**2 - m**3 - 189*m + 189*m wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 0*r**3 + 5*r**3 + (-1 + 4*r + 1)*(2*r**2 - 3*r**2 + 3*r**2) + (r - 3*r + 0*r)*(-2*r**2 + 2*r**2 + 2*r**2) - 3*r**3 - r**3 + r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 31 + 17. Let k = 20 - d. Let f be ((-4)\/37)\/(k + 2). Which is greater: -0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2405605515.\nAnswer: 3, 5, 160373701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**8\/112 - d**5\/40 + 2*d**3 + 12*d. Let w(q) be the second derivative of a(q). Find the second derivative of w(x) wrt x.\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1144 and 7150?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11790 and 172265?\nAnswer: 3100770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 115\nAnswer: 3\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 907860 at least as big as -235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 581.969 + 37.316. Let x = z + -621. Let r = x - 0.555. Round r to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(684) + ((0 + sqrt(684))**2 - sqrt(684))*-4 - ((-1*sqrt(684) - sqrt(684))**2 + -3 + sqrt(684) + 3 + -1 + sqrt(684)))*6.\nAnswer: -32826 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-462)\/(-9) + (-12)\/9. Suppose m = 6*m - a. Let g = 42 - m. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26877\/2? (a) -6 (b) 0.1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98422022 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(14\/5)*k**(-18\/7) assuming k is positive.\nAnswer: k**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - k + 31, s + 963604*k = 963600*k + 97 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3840 by -30.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.22 + 0.08. Let j be (2 - 1 - -1) + 0. Suppose g = j*g. Which is the second smallest value? (a) n (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 9*j**2 + 21*j - 2. Calculate h(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2460 is divided by 480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2 - (0 + 1) and 45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 686*u + 969*u + 2252*u + 739*u.\nAnswer: 4646*u + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -70748, -70834, -70920, -71006?\n\"Answer: -86*s - 70662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 4. Let z = -120 - -123. What is the nearest to -1 in -0.2, z, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -38. Let y = 133 + -130. Suppose -38 + 416 = y*j. Calculate the greatest common factor of j and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*n**2 + 1)*(3*n + 8*n - n).\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96940 - 42952. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4 + 3 - 10*r + (-962 + 88 - 271)*(-2*r + 3 - 3) to c + t*r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -22 (b) 2\/3 (c) 18 (d) 124 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-9)\/2)*78. Suppose 4*g = -g + 5*v, 2*g = 5*v - 12. Suppose -5*z + y = 2*x, 0*x = -x - g*z + 20. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 607\/2 - 300. Let m(d) = 7*d**2 + 4*d + 2. Let q be m(-2). Let l be q\/6 - (-4)\/(-6). Which is bigger: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*w + 63*w = -67*w - 15. Put w, -5524, -3 in increasing order.\nAnswer: -5524, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c6 (base 14) to base 9\nAnswer: -1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -275536 (base 11) to base 16\nAnswer: -69710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 11. Suppose 0 = 3*r + j + 6, 2*h + r - 19 = 0. Let x(d) = -h + 9 + d + 8. What is x(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -553, -848, -1143?\nAnswer: -1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1963 and 453?\nAnswer: 5889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2792 + 2841. What is the remainder when 102 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/56 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 344501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -25, 4*i - i - q = -5. Solve -5*x + 5 = -i*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-5 + 2 - -3). Let d = -3 + 3. Solve d = -3*g - u*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 623 divided by 4\nAnswer: 623\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -177.99 - -81.99. Let z = 95.038 + -0.038. Let h = z + d. Which is the second biggest value? (a) 0.4 (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 21 - 12 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 9:45 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -9 - (-9 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvyvvvvvvvvvvqqqy. What is prob of picking 1 q and 1 v?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.2 and -16371.5?\nAnswer: -68760.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*y + 40*l - 120 = -678*y, 0 = 4*y + 12*l - 36 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70 and 4.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*u - 40, u + 3 = 5*a - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1276*c + 1376*c - 690*c + 59*c + 540*c in the form l + b*c and give b.\nAnswer: 2561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = n, 0 = -5*m - 0*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 10*y - 4. Let q(f) = -2*f**2 + 21*f - 7. Let l(d) = 3*q(d) - 7*z(d). Let a be l(6). Suppose -6*x + 2 = -5*x. Which is greater: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*-1 + 2)*1)**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 10. Let k = -26 - -31. Let u = k + 6. What is the lowest common multiple of r and u?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**3 - 6*a**2 + 4*a + 1. Let d be g(4). Let y(p) = -4*p**2 + 421*p - 2443. Let x be y(6). Let n = d + x. 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: Let v be (15\/3)\/(-5) - 288\/(-2). Suppose -4 = -4*b, 5*b - 6 = 4*w + v. Find the common denominator of (((-12)\/(-2))\/w)\/((-22)\/(-54)) and 151\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 275 = -35*i. Calculate the least common multiple of i and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29826263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 1:59 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**4\/17 - 2*o**3\/17 + 10*o**2\/17 - 4*o\/17 = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - c - 39. What is f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**6\/120 - 7*f**5\/60 - f**4\/3 + 8*f**3\/3 + 5*f**2\/2 - 9*f. Let q(s) be the first derivative of n(s). Factor q(y).\nAnswer: -(y - 1)*(y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1949 by 6.\nAnswer: -1949\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x = -23*x + 2*x + 2394. What is the highest common divisor of 2043 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**2 - 2. Let s(n) = 342*n**2 - 99. Let u(x) = 2*s(x) - 99*v(x). Let r(b) = 72*b - 68*b - 11 + 11. Give u(r(f)).\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 16 = 2*x, -5*d + 4411 = x + 4433 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 - 385397*i + 14*i**2 + 385433*i.\nAnswer: 29*i**2 + 36*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 71*h**2 - 70*h + 95. Let b be l(-72). Put -9, 4\/3, -0.4, b in descending order.\nAnswer: 4\/3, -0.4, -9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 95, 128, 187, 278, 407, 580?\n\"Answer: l**3 + 7*l**2 + 5*l + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-60)*-46 - 36*(-11)\/(-33).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2870, 5577, 8286, 10997?\nAnswer: 13710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 11*b**2 - 39*b + 248. Let j(z) = 16*z**2 - 38*z + 230. Let y(p) = 3*a(p) - 2*j(p). Calculate y(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/(-27)*(-21)\/14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94364251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 326080, -5, 7 in descending order.\nAnswer: 326080, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)\/j)**(-2\/31)\/((j*j**4*j)\/(j\/(j**5*j))))\/(j**(-3\/2)*j**(-2\/13))**21 assuming j is positive.\nAnswer: j**(19231\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (31*3)\/(24\/(-16)). Let y = 136 + n. What is the units digit of (-14)\/(-28) + y\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 3*i**2 - 4*i + 3. Let n be l(4). Let q(a) = 30*a**2 + 11*a - 6. What is the units digit of q(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 11:26 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t*t**(-33))\/t*t*t)**(3\/17) assuming t is positive.\nAnswer: t**(-87\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1983 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 27*o. Let p(b) = b**2. Calculate m(p(y)).\nAnswer: 2*y**4 - 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*r**5\/9 + 8330*r**4\/9 - 436192*r**3\/9 + 6863488*r**2\/9 = 0. What is r?\nAnswer: 0, 29, 344\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 2*l**4 + 2*l**4 + (-1753*l**2 + 3982563 - 3982563)*(2*l - 3*l + 2*l)*(l + 7*l - 3*l).\nAnswer: -8764*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23537 to 3 dps.\nAnswer: 0.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2126, -16558, -55602, -131564, -256750, -443466, -704018?\n\"Answer: -2051*l**3 - 75*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 112\/24 - (-8)\/72*(-2 + 5). Sort -1, 23, b, -8 in increasing order.\nAnswer: -8, -1, b, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 1. Suppose -9 + 4 = i. Let v(g) = -3*g**3 + 5*g**2 - 5. Determine i*o(d) - v(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.05, -0.6, -5 in descending order.\nAnswer: 1\/6, 0.05, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5805 divided by 27.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2\/(-3))\/(57\/(11 - 1208)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 188 + 188*o - 310*o + o**2 - 186 in the form f + a*o + n*o**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 14*z + 26. Let a(m) = 13*m + 27. Let h(j) = -5*a(j) + 4*t(j). Let v be h(-4). Solve 5*i - 23 - 2 = 0, 5*u + v*i = 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 529.7199 * -0.01.\nAnswer: -5.297199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -112*m - 4593. Let g be y(-41). Let w(h) = -46*h**3 - 2*h**2 - h + 1. Give w(g).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 107.977 and -0.16.\nAnswer: -17.27632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 - 6*u**2 + 6*u**2 - u. Let o(h) = 15*h**2 - 50*h + 13. Let n be o(3). Determine p(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 45351*i.\nAnswer: 45351*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -388 + 392. Suppose -3*p = 17 - 35. What is the smallest common multiple of p and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (-52 - -43 - (0 + -18))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 6*o**2 - 7*o. Let w be y(-6). Let g(m) = w*m - 14*m - 27*m. Calculate g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32354333 (base 7) to base 15.\nAnswer: -39aa9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -650 divided by 130.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -140, 3, 30, -4, -5.\nAnswer: -140, -5, -4, 3, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:21 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 125 = -b, 0 = -3*b - 2*b + 25. Suppose 4*m + 2*q = 188, 0 = m + 5*q - 33 - 32. Calculate the remainder when m is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrryqrxyqoqqqrqqyqq. Give prob of picking 1 r, 1 o, and 2 y.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/10)*g**(3\/7)*g)**(-9\/5)*(g**(1\/4)*(g*g**(-4))\/g)\/(g**(-1\/5)*(g\/(g**3*g)*g)\/g) assuming g is positive.\nAnswer: g**(-2059\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**3 + 7*f**2 - 3*f + 12. Let j(w) = 4*w**3 + 6*w**2 - 2*w + 13. Let x(g) = 4*j(g) - 3*o(g). What is the remainder when x(-3) is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, 2, 5, -13 in ascending order.\nAnswer: -15, -13, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -351 - -466.1. What is a rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -132, -337, -542, -747?\n\"Answer: -205*w + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n = -77 + 605. Find the third derivative of -31*d**6 + 0*d**6 + d**2 - 27 + n wrt d.\nAnswer: -3720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9498 is divided by 979.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-55 - -1) + 1610 + -1515\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/2, -1, 1, -418\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -455257, -455327, -455399, -455473, -455549, -455627?\n\"Answer: -t**2 - 67*t - 455189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2 - 256*g - 1581. What is o(-57)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aii when three letters picked without replacement from ifmkmanni?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 57\/2 of a milligram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -28.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 11140168?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -46. Let c(u) = -u. Let d(a) = -a**3 - 2*a**2 + 3*a. Calculate l*c(h) - d(h).\nAnswer: h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 8:21 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676 - 338 + 2*g - 338.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 186 + 126 + 21*x**4 + 212 + 2*x + 23*x**4 - 41*x**4 as k*x**2 + u*x**3 + a + w*x**4 + o*x and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 2 + -5)*100\/(-20). What is the tens digit of (-1486)\/(-10) + (-9)\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4368010.\nAnswer: 2, 5, 436801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2. Let x(n) = -n**2 + 4*n - 4. Let m be x(4). Let s = 6 + m. Let c(y) = s*y + 2*y - 5*y. Give c(k(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) 4 (c) -2096\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5 + 21 = -5*c, 3*g + 5*c = 89. Let w = 1 - g. Is w greater than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 - 3) + -13 - -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6907668 a multiple of 1198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmqr when four letters picked without replacement from {q: 2, m: 2, r: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suzt when four letters picked without replacement from twtsuuwwtttttnzt.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 19*f**4 + 418*f**3 + 26*f + 2481. Let y(w) = -9*w**4 - 209*w**3 - 12*w - 1239. Let k(c) = 6*l(c) + 13*y(c). Find the first derivative of k(i) wrt i.\nAnswer: -12*i**3 - 627*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-1*(-3)\/30)\/((-59)\/236).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (96\/(-960) + 98\/20 - 5)*-35. Let a(p) = -3 - 7 - 6*p + 4*p**2 - 3*p**2. Determine a(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*l + 5 = 0, -6*u + 3*u = 2*l - 15. What is the second derivative of -22*h + 96*h + 4*h**2 + 15*h - 6*h**u - h**2 wrt h?\nAnswer: -120*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 7622.2?\nAnswer: 38111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(13)*2 + sqrt(39)\/(sqrt(6)\/sqrt(2)))**2.\nAnswer: 30*sqrt(13) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 23*q - 19 - 4 - 48*q.\nAnswer: -71*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4077000 to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15344 = 691*o + 39529 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -27. Let a be 94\/4*4*i. What is the highest common factor of 235 and a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173 + 168. Let v = 2.85 + -3. Let z = v + -5.85. Which is the smallest value? (a) 5 (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 6*c + 1. Let g be h(-4). Suppose -4*b = -3*t - 115, -5*t + 4 = g. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 4*u + 0*u + 60 + 270 = 0 for u.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z**3 - 10*z**2 - 32*z - 52. Let b be w(-4). 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: Let i(w) = 4924768*w. Let x(n) = -n**2. What is i(x(k))?\nAnswer: -4924768*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - s = 61, -2*s + 18 + 42 = -5*n. Let w be (-760)\/n - 8\/28. Calculate the highest common divisor of w and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 671037405 to the nearest integer?\nAnswer: 25904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a hour in seconds?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = q + 1022 + 176, 0 = -5*t - 2*q + 1189. Let p = t - 1909\/8. Put -4\/7, 38, p in ascending order.\nAnswer: -4\/7, p, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - m**2 + 3*m + 3. Give s(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 3*o - 2. Let c be k(-4). Suppose -s = c*y - 26 - 5, s = -4*y + 57. Suppose -3*d + y = -2. Solve 4 = -4*p - d*t - 5, t = 2*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**19\/(u**(-2\/11)\/(u\/(u\/u**(-8))*u)))\/((u\/(u*u**0*u))\/(u\/u**9)*u\/u**2*u*u*u*(u\/(u\/(u\/u**(1\/4))))\/u) assuming u is positive.\nAnswer: u**(-2891\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -14*i + 35. Give r(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 10*x - 10. Let v be s(-7). Calculate the greatest common divisor of v and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = d. Let u(h) = -h**3 - h**2 + 18*h - 11. Let y be u(-5). Let x(z) = -2*z - 5. Let v be x(y). Sort d, 1, v.\nAnswer: v, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19201 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3\/7 + 68846*j**2\/7 - 592574720*j\/7 + 1777104600\/7 = 0.\nAnswer: 3, 17210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*c - 4*q, -2*c = 12*q - 14*q - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722817 at least 1722600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18751042 and 2794.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b + 26. Suppose 5 = -4*o + b. Solve u - 3 = o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166079 * -441\nAnswer: -73240839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l - 2*l**3 + l + 6*l**3 - 4*l**3 - 4*l**3 + (-2 + l + 2)*(5*l - l**2 - 5*l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*b + 1. Let z be 6\/(-4)*12\/(-9). Suppose -z*p = 2*p - 20. Solve 3 = p*k - b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 - 4*h + 44*h**2 + 4*h + 103 - 51 as r*h**2 + w*h + z and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1903 - -1902.7. What is the second biggest value in -12.5, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytxtxxxyxxtxy. What is prob of sequence xxxy?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 325 = 3*d, 5*s - d = -4*d + 325. What is the remainder when s is divided by (-392)\/(-18) - (-4)\/18?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 - 2*d - 2. Let v(n) = -6*n**2 + 3*n + 2. Let x be (-210)\/49 - (-2)\/7. Give x*v(y) - 5*l(y).\nAnswer: -y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -2. Let v(m) = -2*m**3 - 3*m**2 - 3*m - 2. Is v(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 4)\/(0 - -1). Suppose 2*i + 2*z - 13 = -1, 0 = s*i + 5*z - 21. Let q = i + 25. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 5. Let p be q(3). Let n(g) be the first derivative of -3 + g + 3\/2*g**p. What is n(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 88. Suppose -18177376 = y*m + 11102624. What is m rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/(-7) - 132\/(-231). What is the smallest common multiple of (-3 - 12)\/k - (-32 + 29) and ((-7)\/(-3) - 0)*3?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 149, 151, 155, 161, 169, 179, 191?\n\"Answer: j**2 - j + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 412260*f + 1236762.\nAnswer: 2*(f + 3)*(f + 206127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 620 and 9505406?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4.34. Let z = 0.3388 + a. What is z rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 3655?\nAnswer: -10965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzytriytt. What is prob of sequence yr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/((-4)\/66). Let r = v - 9. Solve r*y - 5*y + 28 = 5*b, 2*b - 6 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5bb841 (base 13) in base 9?\nAnswer: -4116561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q + 22*q + 192 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**3 + 36477*v**2 - 110423592*v - 2783434800 = 0?\nAnswer: -25, 6092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*u + 9. Let m(v) = v + 3. Let n be m(0). What is the third derivative of 3*c**u + 28*c**2 - 6*c**n - 27*c**2 wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + j - 2*f = -18, -2*j - 7 = -5*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 5, -10.4, -2\/3, -0.1?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20964 - 9121. List the prime factors of r.\nAnswer: 13, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/45, -2, 1\/4, 1\/2 in descending order.\nAnswer: 1\/2, 1\/4, -14\/45, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnqqpqnzpzn. What is prob of sequence pnz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 5 + x**2 - 2*x**2 - 8*x. Determine q(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6.02. Let x = 13.2 + -13. Is b at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 59*f = 54*f + 9, -12 = 2*x - 4*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 8. What is the nearest to -1 in 0.013, q, 0.4?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 29 = 4*f - 15, 0 = -4*f - 4*z + 40. Let m(q) = 2*q**2 + 0*q**2 - q + 1 + 2*q. Is m(f) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74296428.\nAnswer: 2, 3, 41, 151009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -22*q**2 + 42*q + 364. Determine g(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 556086 and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 23*c**2 - c - 11. Let x be a(-23). Let r = 17 - 44. Let f = r + 159. Calculate the greatest common factor of f and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2272 and 2273 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 871*d + 989*d + 2197*d + 1841*d + 2*d**3 + 10890*d.\nAnswer: 2*d**3 + 16788*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102 - 463 - 116)*(-2*a + 2*a + a).\nAnswer: -477*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 3*q + 3. Let v be w(-2). Suppose 3*t - 62 - 45 = -v*m, -12 = -3*t. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8101 is divided by 268?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:56 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Suppose -p + 7 = y*m + 3*p, 5*m - 33 = 4*p. Suppose 2*u = m*u - 1437. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, m: 1, r: 1}. Give prob of sequence rhh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1922 is divided by 814?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*i + 1812 = -47*i. What are the prime factors of i?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*k, 4*k = -3*v - 0*v - 10. Let b = v - 2. What are the prime factors of (b\/(-5))\/((-3)\/(-75))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13931 + 13992. What is the greatest common factor of 10065 and z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/30 - 417117\/(-281490). Solve 0 - 338\/11*r + 52\/11*r**2 - x*r**3 = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72406*y**5 - 13*y**2 + 135*y - 8 wrt y.\nAnswer: -4344360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4166309?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5 - 998*k**4 - 8879*k**3 + 21758*k**2 = 0.\nAnswer: -989, -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 + 2)\/(-16) - (-364470)\/160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 417*b + 189*b - 81845 + 41849 for b.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 3*b - 5*b - 2*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 423, -481, -2947, -7761, -15709, -27577, -44151, -66217?\nAnswer: -94561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 18*h**3 + 33*h**2 + 18*h.\nAnswer: 3*h*(h + 1)*(h + 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**4*i + 281*h**3*i*z + h*i*z + 31*h*i + 2*z wrt h.\nAnswer: 24*h**2*i + 1686*h*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/7)\/u)**8*(u\/(u**(-5\/3)*u))\/(u\/(u*u**(-2)*u)) assuming u is positive.\nAnswer: u**(-34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/(-7))\/(2 - (-9807)\/(-4905)).\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.1*2.\nAnswer: 56.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43 (b) 4 (c) -1\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/9 + 546\/126. Solve -5*z = -3*w + 5, 0*w = 3*w + n*z + 35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 52\/(-91) + 6056\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -4, 4\/3, 3\/5, 0.4, -5 in descending order.\nAnswer: 49, 4\/3, 3\/5, 0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78240331 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -9. Let z = -4 - -2. Let x = -1 - -1. Which is the closest to x? (a) w (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 6. Let s(p) = p**4 - 11*p**2. Let f(v) = -4*v**2 + v**2 + v**2. Let d(m) = i*s(m) + 10*f(m). Determine b, given that d(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -17*p**3 + p**2 - 2*p + 3. Let x(i) = -18*i**3 + 2*i**2 - 3*i + 4. Suppose 0*n = -4*n + 12. Let k(m) = n*d(m) - 2*x(m). What is k(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/510)\/(2919\/(-556))*1*-3\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.4 - 2. Let u = 0.5997 + b. Round u to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -62 + -6?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 2117014?\nAnswer: 6351042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1253.0007 - -0.84?\nAnswer: -1252.1607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12991 + 44*a + 12991 to the form r*a + m and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7603627?\nAnswer: 7603627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690 = 216*f - 186*f for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -158720.38436 rounded to the nearest one thousand?\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 25.9. Is -4\/5 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 52*l - 2 + 2 + 2 to the form f + r*l and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/38*(8\/(-28))\/((-160)\/1960)?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7498)\/(-25) + (-2)\/(-25) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y + 30. Let w(l) = 13*l - 60. What is -7*p(f) - 3*w(f)?\nAnswer: 3*f - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198267661.\nAnswer: 31, 83, 251, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 126 (b) 0.2 (c) 4 (d) 5 (e) 3\/11 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**3 + 19*u**2 - 6*u - 39. Let q be a(5). What is the highest common factor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12210020122 - 10?\nAnswer: 12210020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/6 - (-58)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2*u, -4*q + 5*q = -u - 6. Which is the smallest value? (a) q (b) 3 (c) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {y: 10, n: 1, j: 2, f: 2, s: 2, d: 3}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 53 + 196\/17*z + 1\/34*z**4 + 32\/51*z**3 + 77\/17*z**2. Factor p(l).\nAnswer: 2*(l + 2)*(l + 7)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1445 and 837029?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -499*13\nAnswer: -6487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2 = 4*x + 25, 0 = -3*x - 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.129 - 0.244. Let i = -16.085 + 16. Let v = j + i. What is the closest to v in 0.2, 5, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 32423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = 4*j - 418. Let q(d) = -4*d + 108. What is the least common multiple of 18 and q(j)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dza when three letters picked without replacement from {o: 4, a: 10, z: 3, d: 3}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 2*r - 4. Let z be j(4). Let n(o) = 5 - 4 + z*o**2 - o**3 + 2 + 1 - 4*o. Let l be n(3). Solve -l = -y + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-15) + (-4)\/(-1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*k**3 - 141330*k**2.\nAnswer: 5*k**2*(11*k - 28266)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3210 (base 4) to base 16\nAnswer: e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 6:54 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245) - (sqrt(245) - (sqrt(245) - -3*(sqrt(245) + sqrt(245) + sqrt(245) + 1)))) + sqrt(245) - sqrt(245)) + 3)**2.\nAnswer: 840*sqrt(5) + 24536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -48*l**4 - l**2\/2 + 607*l - 76. Differentiate j(z) wrt z.\nAnswer: -576*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -354776 not equal to -354738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101089552.\nAnswer: 2, 1433, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 1 - 1 - 3*i + 4*i + 0*i + (-3 - 2 + 3)*(2*i + i - 5*i) + 2 - 2 + 2*i + 5*i - 2*i - i + (-1 - 3 + 2)*(-15*i - 17*i + 24*i).\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 602\/5 + -120. Let t be ((-8)\/10)\/(((-38)\/(-60))\/(-19)). Suppose t = 17*l - 11*l. Which is the closest to -1? (a) h (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(2\/7) + 2. Let l(p) = -64*p**2 - 15*p + 19. Let w be l(x). Round w to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2*s**3*x + 54*d**2*s**3 + 929*s**3*x + 43 wrt x.\nAnswer: 3*d**2*s**3 + 929*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*g + 117 = 0, -2*g = -6*n + 2*n + 102. Let f = n + -3. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.8 + 3. Let v = -0.3 + -2.7. Put -5, z, v in increasing order.\nAnswer: -5, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 3599 + 1058. Let y = 385 - l. Solve -4*g - y = -5*j, -2 = j + 3*g + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -113*f**3*v + 10*f**3 + 160*f**2*v - f**2 - 3*f*v + 724*f + v + 120 wrt v?\nAnswer: -113*f**3 + 160*f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4382650 by 5150.\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*a - 0 + 13, 5*w - a - 20 = 0. Let m = -223 - -751. Let p = m - 523. Sort w, 4, p, -1\/4 in decreasing order.\nAnswer: p, 4, w, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 78.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (9\/28)\/((-6)\/(-4)) and -37\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 9 = x, -21*x + 5*w = -26*x + 25. Let p(v) be the third derivative of v**6\/120 - v**5\/12 + v**4\/6 - v**3\/3 - 3*v**2. Calculate p(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*s + 65*s + 5 - 118*s in the form n + o*s and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 37*s + 135 = -42*s, 4*s = -4*z + 84. Calculate the smallest common multiple of z and 69.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -110 - 2*m - 83 + 170. Let r be h(-10). Is -2 + 2 + r - -446 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 6*p - 18. What is the units digit of z(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434871*w**2 - 21876*w + 60 = 0 for w.\nAnswer: 2\/687, 10\/211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + q**2 + q - 35. Let i be ((-33)\/3 - -8) + 1*3. Calculate h(i).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 201 in 0.2, 0.3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 52*l = 58*l + 576 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35861811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (17 - (-900)\/(-54))*9. Find h, given that 0*h**2 - 1\/3*h**n + 1\/3*h + 1\/6*h**4 - 1\/6 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146*f**6 - 342*f**2 + 1 wrt f.\nAnswer: -17520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-14)*-37 + (3538\/427)\/29\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 5120*p + 1638400.\nAnswer: 4*(p - 640)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120\/1553 or 0.2?\nAnswer: -120\/1553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let a(f) = -5*f + 3. Let j(q) = a(q) + 6*p(q). Let w be j(-7). Let x(k) = -k - 2. What is the units digit of x(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14322\/5 or -2865?\nAnswer: -14322\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 - (-14 + 21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -589201 divided by 10.\nAnswer: -589201\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -342 - -354. Calculate the lowest common multiple of u and 135.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 2 (c) -5 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 + 7 + (-7)\/(-1). Suppose 0*l - 3*l = -15, z*l - 25 = -5*r. Solve -2*f + 7*f - 10 = r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**2 + 924*w - 11505 = 0?\nAnswer: 13, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = 27 + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*r + 60537781 - 1235381 = 0. Round r to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97870 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 498 (base 12) in base 16?\nAnswer: 2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 9:03 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -13. Let s = -6720 - -6768. What is the remainder when s is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 897961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 4:25 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d = -5*h - 25, 2*h + 22 = 5*d. Let i = 12 + d. Let q = -22 + 51. Solve -4*r - 3*w - 2*w - q = 0, i = 4*r - 4*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -73*u**2 + 0 + 0*u**3 + 0*u - 1\/4*u**4 - 13\/30*u**5. Determine t so that x(t) = 0.\nAnswer: -3\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**3 + 700*c - 700*c.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.51 - 228.51. Let v = 236 + m. Which is bigger: v or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14735 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 6, -2, -100?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*o + 16, 5*o - 4*o - 2*h = 2. Let y(r) = -4*r - 2. Let n(u) = 15*u + 7. Determine o*n(g) - 22*y(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41918073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63581 and 3689.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301520027.\nAnswer: 41, 7354147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -55767, -55766, -55765, -55764, -55763?\n\"Answer: w - 55768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455\/273*3*599.\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 3*g**2 + 3*g + 6. Let x be c(4). Suppose -5*f + 26 = 4*v, x*v = 3*v - 2*f. Solve -2 = k - v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 16271 = -9251 - 5658. List the prime factors of m.\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 13 + 1 = 0. Solve 0 = h*q - 0 - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = k - 14, 4*k = 160*f - 159*f + 36 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6779?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-3)*18\/(-12). Solve 0*g - 15 = d*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350)*2)\/sqrt(7) + sqrt(300)\/(-2*sqrt(6)))\/((-2*(sqrt(120)*2 + sqrt(120) - sqrt(120)))\/sqrt(12)))**2.\nAnswer: 45\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, 19, 56, 129, 250?\n\"Answer: 2*k**3 - k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*o - 4*s = -196*o + 56, 219*o - 507 - 570 = 2*s - 4*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 3, -129, -44, -17 in decreasing order.\nAnswer: 76, 3, -17, -44, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o - 14*o + 24*o + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -667*j**5 - 2817*j**2 - 1642*j**5 + 294*j**2 + 930*j**5 wrt j.\nAnswer: -82740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12130\/67928)\/(2\/(-4))\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by -3728.\nAnswer: -39\/3728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1109863\/20503 + -1569\/29. Let s = -64648956247241\/15851981877620 + 12\/1121073683. Let k = m + s. Calculate the common denominator of 13\/2 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, h: 4, a: 4, m: 1, c: 6}. What is prob of picking 4 h?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (580\/140 + -1 - -2)*14\/(-3)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/z)**(-3)\/(z*((z**(2\/7)*z)\/z)\/z*z)**(-49) assuming z is positive.\nAnswer: z**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:00 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0405 - -1.9595. What is the second smallest value in -4, 2\/13, b, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91\/69 - -524\/345. Which is the third biggest value? (a) 1 (b) -3.6 (c) p (d) -5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -128*a + 108 + 916 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23071199.\nAnswer: 23071199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -9. Let s(y) = 9. Let d(h) = h + 8. Let z(i) = -2*d(i) + 3*s(i). Let u be z(8). Which is smaller: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341497 is divided by 86?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 23*n**2 + 15*n - 167. Let q be y(-24). Solve q*k + 45 = 64*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69636 and 50604?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/35)\/((-820)\/(-615)*-6*4\/160).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*v**2 + 75104*v + 150600.\nAnswer: -2*(v + 2)*(49*v - 37650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*d - 46*d - 16 = 37*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160148109 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*y + 6, -2*v = -y - 2*y + 19. Let q = v - -16. What is the lowest common multiple of 21 and q?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3776 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(720) + -1 - sqrt(720)) + sqrt(720) + 3*sqrt(720) + sqrt(720) + -2 + 4)**2.\nAnswer: 480*sqrt(5) + 18016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 226*d**2 + 707*d - 5. Let f be l(-5). What is the greatest common factor of f and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -5*i**3\/6 - i**2 - i. Determine c(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5916)\/(-357))\/(328\/1722)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -179?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2267 (base 12) to base 2\nAnswer: -111011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20452112 (base 6) to base 7\nAnswer: 5040146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20020221011102 (base 3) to base 5.\nAnswer: -1322400323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*k - 27. What is the greatest common divisor of 10 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.36\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 + 6969*i - 27877\/4.\nAnswer: (i - 1)*(i + 27877)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 0*r**2 - 3*r**2 + 5*r - 2 + 2*r**2. Let t be g(4). Suppose -d - 15 = -t*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1098972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(660))\/sqrt(11))\/(6*sqrt(300))*-5)**2.\nAnswer: 125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 1\/4*f**4 - 3*f + 0*f**3 + 0 + 0*f**2 + 1\/10*f**5. Find the third derivative of g(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/(-10) - 1072\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, a: 5, m: 8}. What is prob of picking 2 a and 1 m?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-683 + (-1 + 0)*3)*-1. Suppose 9*p - q = -5*p. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (18 - (-4 + 14))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 5*k - 3*k)*(-4 - 3 + 4)*(117 - 103*k - 117).\nAnswer: -309*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -63 * -0.01\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**5 - 2960*j**4 + 41880*j**3 + 71460*j**2 - 376758*j - 403380 = 0.\nAnswer: -1494, -3, -1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91655.14l?\nAnswer: 91655140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 - 2*s**5 + 3*s**4 - s**5 - 4*s**5 + 3*s**5 + (4 - 5 + 3)*(0 + 0 - 2*s**5) + s**2 + 146*s**5 + 11632*s**3 - 11633*s**3 - 1341*s - 147*s**5.\nAnswer: -9*s**5 - s**3 + s**2 - 1341*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -y**4 - 616*y**2 - 436 wrt y.\nAnswer: -4*y**3 - 1232*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1660088256?\nAnswer: 2, 3, 8646293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 5*b**2 + 10*b**2 + (0 + 1 - 3)*(-2*b + 3*b + b)*(-6*b - 3 + 3) in the form p*b + h + t*b**2 and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -248\/687 or 0?\nAnswer: -248\/687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t. Let l(n) = -3*n**2 + 20*n - 2. Give 6*a(j) - l(j).\nAnswer: 3*j**2 - 8*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-60)\/(-35))\/(2\/21). Suppose 2*n + 14 - 6 = 0, k + u = -5*n. Solve -k*c - 2 - 6 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2269*r**3 + 4950*r**2 wrt r?\nAnswer: -13614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/15)\/((-7)\/(-210)). What is the hundreds digit of 2850\/8 - w\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*(-124)\/(-496)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 655 + -656. Which is bigger: n or 2\/825?\nAnswer: 2\/825","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40512, 40656, 40800?\n\"Answer: 144*h + 40368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + g + 2*g + (-2*g + 23*g + 6*g)*(-2 + 0 + 1).\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10071 - 10039. Suppose 155 = 6*n - 133. Calculate the greatest common divisor of n and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 + -71. What is the third smallest value in 0.1, -1\/18, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dicbqnd. What is prob of picking 1 d, 1 b, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 minus 3591?\nAnswer: -3591.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (33\/(-10))\/((-12)\/28996). Let y = h - 7966. Let j = 2\/493 - -62587\/5916. Find the common denominator of j and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12291*s**3 + 23882*s**3 - 12556*s**3.\nAnswer: -965*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33029 and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/54584126 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3030440?\nAnswer: 2, 5, 7, 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009785889 rounded to five decimal places?\nAnswer: -0.00979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:46 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -5. What is the third smallest value in 0.1, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73641*f = -73692*f - 1377 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(7)*-1 + (2 + sqrt(7))*-6 - (4*sqrt(28)\/sqrt(4) + sqrt(700)*1)*-1)**2.\nAnswer: -224*sqrt(7) + 599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-118)\/295)\/(3\/(12\/2))*510\/4?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2942 and -35\/127.\nAnswer: 373634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 18. Let i = 12 + n. Which is the nearest to i? (a) 0.3 (b) -5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8744 and -1.0528.\nAnswer: -0.92056832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.122 - 0.118. Let l = -0.204 + d. Let v(z) = z**2 - 12*z - 1. Let s be v(12). What is the nearest to s in l, 1, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/9*((-5)\/(-15))\/((-3)\/(-27))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91671747.\nAnswer: 3, 30557249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20706 + 21041. Calculate the remainder when 1006 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 7*t**2 - 9*t + 8. Let a be f(8). Let m(r) = -r**3 - 2*r - 191. Let p be m(a). What is p rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55122894 a multiple of 823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 802924868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 16. Suppose -5*z + 0 + 15 = h. Solve -3*w = -0*w + z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430 + 110*y**2 + 2*y**3 + 110*y**2 + 103*y**2 + 430.\nAnswer: 2*y**3 + 323*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -222\/7 - -32. Let d = 5.6 - 6. Which is the nearest to h? (a) -4\/3 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, -66, 0.4 in decreasing order.\nAnswer: 0.4, -0.12, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t**2 - 18937874*t - 12894210.\nAnswer: -4*t - 18937874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwwrfbrya. What is prob of picking 1 a, 2 w, and 1 r?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (83 - 89) + -1 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(2736)*1 + sqrt(2736) + -4) + (sqrt(2736) - (sqrt(2736)*-2 + -4 + sqrt(2736) - sqrt(2736)))*-3)**2 + 1.\nAnswer: -3648*sqrt(19) + 987758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5528 * 679\nAnswer: -3753512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 327320 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/23219492 and 109\/12.\nAnswer: 69658476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2222*-0.79\nAnswer: 1755.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 412220413 + 0?\nAnswer: 412220413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 9. Solve z = -u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - -4. Suppose -s = -3*r + r. Suppose -36 - 28 = -4*z. Calculate the highest common divisor of z and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*j + 3 + (-j + 4*j - 2*j)*(-3 + 2 - 3).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 469\/49 + -9 + (-168)\/(-49). Put -4, -3, -10, o, 10 in descending order.\nAnswer: 10, o, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829 a factor of 140785754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 192 = 4*w, -t = 5*w - 349 + 109. Suppose -w = 27*k - 33*k. Let d(i) = -i**3 + 7*i**2 + 9*i - 8. Give d(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.4758994 to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -2\/11 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 37498964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*r - 4*r**2 + 102*r + 101*r - 286*r.\nAnswer: -4*r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957707037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 2:59 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.2 (b) 9\/4 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -100111110101011110?\nAnswer: 100111110101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 12*z**2 + 12*z + 9. Let u be f(13). Let v(g) = g**3 + 4*g. Let d(t) = -t. Determine u*d(y) - v(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/(-1584) - ((-4)\/(-6) - 1\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -137095686, -137095675, -137095662, -137095647?\n\"Answer: x**2 + 8*x - 137095695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/23 + -2\/161. Put 0.4, -2, 1\/3, i in descending order.\nAnswer: 0.4, 1\/3, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q**2 + 7*q + 5. Let g(n) = 9*n**2 - 6*n - 6. Let f = -93 + 91. Let h(s) = f*g(s) - 3*k(s). Suppose h(r) = 0. Calculate r.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.2 + -40. Let y = q - -0.8. Which is the third smallest value? (a) y (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 368216*v + 1472855. Determine o(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22*14 - (3 - -5)\/4. Suppose -l = -13*s + 4*s. Factor s*f**4 + 8 - 11*f**4 - 19*f**4 - 12*f**2 - 4*f**3 + 4*f.\nAnswer: 4*(f - 2)*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3 = -3*b, 5*b = -6*q + 11*q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28816243+-14\nAnswer: -28816257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/16 (b) 5 (c) -368 (d) 1 (e) 0.3 (f) -0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 = 6. Let s(q) = -q**3 + 53*q**2 + q - 53. Let w be s(53). Suppose -k*c - 4*b + 761 = w, -3*b + 502 = 2*c + b. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-33)*1105368\/1896.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 25420638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 19 = 7. Let o = -2 + n. Factor -2*x**2 - 4*x**2 + o - 2*x**3 + 2*x**4 + 10*x - 4 - 2.\nAnswer: 2*(x - 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0304383 grams to milligrams.\nAnswer: 30.4383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7319222.1s to days.\nAnswer: 84.71321875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33, -34, -35, -36?\n\"Answer: -r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 - 3*x**2 + 3*x**2)*(64 - 41 + 1079*x + 14037*x + 14 - 37) as y*x + k*x**3 + r*x**2 + w and give k.\nAnswer: 30232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 17*c**2 + 2*c + 38. Let r be k(-17). Suppose r*g = -t - 2*t + 72, 2*t = 2*g - 36. Solve -3*n = 3*m - 21, -3*n + n + g = 3*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (-4*(sqrt(171) + -1*sqrt(171)))\/sqrt(9) + 2)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -203 + -2?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3153 or 3152?\nAnswer: 3152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + -501?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 22*o**3 - 2*o**2 - 2*o - 1. Let v be p(-1). Let f(k) = 2*k**2 + 5*k. What is the remainder when (v\/3)\/(5\/(-15)) is divided by f(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdkw when four letters picked without replacement from krwdkkwrwdrd?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185650 and 376.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 789.3 to the nearest ten.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1\/2 (c) -5 (d) -2 (e) -1\/11 (f) 1\/6 (g) -3.9609\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 46 times 1.13452\nAnswer: 52.18792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 15*v**2 - 10*v - 24. Let f = -225 + 231. Let c be d(f). What is the highest common divisor of 24 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75 + -4?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 1. Let f(u) = -2*u + 13. Let s(j) = f(j) - 4*r(j). Calculate s(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2 - 8*c**2 - 3*c - 14*c**2 + 21*c**2. Let v be m(-2). Suppose 0*h = 3*x + 2*h - 269, v*x - 3*h = 336. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)\/n**0*(n**(-1))**42 assuming n is positive.\nAnswer: n**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(100\/18) - (-193)\/3 - 40\/12.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.949 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-4))\/h**1*((h\/((h\/h**(-1\/10)*h)\/h))\/h)\/h**2*(h\/h**(-1))**(-1\/22)*((h*h*h**(-1))\/h)**20 assuming h is positive.\nAnswer: h**(89\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 431023 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 7:30 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**5 - 208*y**4 - 460*y**3 + 79000*y**2 + 703296*y + 1577088 = 0. Calculate y.\nAnswer: -12, -6, -4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69736967513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 4*k**2 - 6*k - 8. Suppose -4*p = 3*p + 28. Let n be v(p). Solve -6*u + n = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 1286765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(119) + sqrt(119)))\/(sqrt(63)*-4).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -802*c**3*j*k - c**3*j*v**3 - 5*c**3*j + 7*c**2*j*k*v**2 - c**2*j*k*v - 2*c*j*k*v**2 - 2*c*k + 82*c + 2*k*v**3 wrt c.\nAnswer: -4812*j*k - 6*j*v**3 - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27083082 divided by -694438?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 84950970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35034331 is divided by 175.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 + 20 + 37 - 2*v**2 - 27*v + 5*v**2. What is the hundreds digit of r(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13442 and 333700.\nAnswer: 47719100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5\/3, -4, 2, 329 in ascending order.\nAnswer: -5, -4, 5\/3, 2, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-6)\/(-2)) - -76. Suppose -3*t - y + 724 = 0. Suppose 4*b + t = 2*f, -3*b - 202 = -5*f + 338. What is f rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*z - 9 = -2*w, -2*z = 3*w - 6. Suppose w = -d + 4*d + q - 5720, -2*d + q + 3820 = 0. Suppose -9*c + d = 99. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 693 and 41932737?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -60. Let p(n) = -n**2 + 4*n - 9. Give p(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 2, t: 1, k: 2, q: 5, c: 2}. Give prob of picking 1 q and 1 t.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*0.000014.\nAnswer: -0.00000168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 2.874 (b) -1\/6 (c) 4 (d) 1 (e) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089893 to the power of 1\/2, to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*((-24)\/(-156) + (-115)\/(-13)). Calculate the remainder when 23 is divided by i\/(-2)*(-12)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/72 + 7\/18. Let y be ((-7)\/(-42))\/(0 + -2). Let x = -703\/5 - -141. What is the closest to o in -2\/9, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/54)\/((-4)\/(-24)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29888, -117515, -262882, -465989, -726836, -1045423, -1421750?\n\"Answer: -28870*f**2 - 1017*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 292412, 584773, 877122, 1169453, 1461760, 1754037?\n\"Answer: -p**3 + 292368*p + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 bigger than -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 204 - 17. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) + (-3615)\/25 + 10. Let c be t\/(-140) + (-25)\/20. What is the smallest value in -1, c, 0.13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122332 (base 8) to base 5.\nAnswer: 2322302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 0 + 0*h + 0*h**4 - h**2 + 1\/480*h**5 - 1\/2*h**3 + 1\/1440*h**6. Let j(i) be the first derivative of f(i). Factor j(c).\nAnswer: c*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 0*z**3 - 1\/8*z**6 + 0*z + 0*z**4 + 1\/10*z**5 + 0 - 4*z**2 - 1\/112*z**8 + 2\/35*z**7. Factor a(b).\nAnswer: -3*b**2*(b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 8:32 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*m + 1163050 = 1166570 for m.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1547 and 113424.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -12. Let f be (-14)\/d*420\/(-49). Solve -8\/3 - 50\/3*j**2 + f*j = 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 2*n**2 - 8*n + 15. Let m be d(3). Put -16, 5, m in descending order.\nAnswer: 5, m, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108\/1219609 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 0*x**3 + 0 + 0 + 1 + x**3 + 2*x**2. Let u be g(-3). Let j be (-76)\/(2 + -4) - u. What is the greatest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/7)\/b**(2\/3)*((b\/((b*(b**0\/b)\/b)\/b*b))\/b)**44)**(-1\/79) assuming b is positive.\nAnswer: b**(-892\/1659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45116 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14399, -57133, -128209, -227627, -355387?\nAnswer: -511489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 38670 (b) -1 (c) -0.3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 27416?\nAnswer: 82248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(-3 + 1*(-3 + sqrt(24)\/(sqrt(768)*1))).\nAnswer: -21 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 11:56 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 12*m**2 - 4*m**2 - 7*m**2. Let a(b) = -4 + 148*b**2 - 147*b**2 - 6. Give a(k(s)).\nAnswer: s**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**3 + 62*s**2 + 5*s**3 - 30*s**3 wrt s.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 730901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/8 + (-2)\/8. Let i = p + 7. Factor -k**4 + 16*k**2 - 12*k**3 - 8*k + 2*k**3 + i*k**4.\nAnswer: 2*k*(k - 2)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -587*c + 2. Is r(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 42*k**2 - 2*k - 1. Let c be t(2). Let l = c + -163. Let u(p) = -p**3 - p - 6. Give u(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 8*l + l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*f + 7605 = 163*f. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12007905 by 6945.\nAnswer: -1729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 55*g**4\/12 - 5*g**3\/3 + 21*g**2 - 2. List the prime factors of v(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/(-7))\/(15\/70). Calculate the greatest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 10. Let a(k) = -3. Let x(y) = -7*a(y) - 2*p(y). Let z be x(2). Let o = z - -9. Calculate the remainder when 9 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/45)\/((-48)\/(-10) + -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11214 (base 7) to base 8.\nAnswer: -5445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 378355723880?\nAnswer: 378355723862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j**2. Let r(i) = -93*i**2 - 397 - 210*i**2 + 397. Give r(a(w)).\nAnswer: -30300*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5599*r**4 - 790 wrt r.\nAnswer: -22396*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 709077.6.\nAnswer: 709078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 3387.\nAnswer: 16935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -589, 6 in decreasing order.\nAnswer: 6, 4, 1, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*v. Let d = -21 - -33. Let i be 2\/(-12)*54\/d. Put v, i, -3\/7 in ascending order.\nAnswer: i, -3\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -376171, -376791, -377413, -378037, -378663, -379291, -379921?\n\"Answer: -f**2 - 617*f - 375553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*m + 11. Let h(n) = -n**3 + 5*n**2 - 2*n + 5. Let x be h(m). Let p = x + 29. Is p equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1276*k*m*x**2 - 2*k*m + 5*k*x**3 - 23*m*x**3 - 4*m - 5*x**3 + 5*x wrt k?\nAnswer: -1276*m*x**2 - 2*m + 5*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 2*j**2 - 6*j + 6. Suppose -2 = -5*h - 27. Let r be o(h). Let g = -71 - r. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**5\/20 - b**4\/12 - 2*b**3\/3 - 203*b**2 - 3*b. Let a(c) = -5*c**2 - 5*c - 9. What is 2*a(z) - 5*g(z)?\nAnswer: 5*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3716 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-12*6\/(-48) - 5).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4607 - -414631\/90. Let x(k) be the third derivative of 0*k**3 + 0 - 1\/108*k**4 - l*k**5 + 0*k - 2*k**2. Factor x(n).\nAnswer: -2*n*(3*n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 0*j**3 - j**3 + 0.\nAnswer: -j**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -60571 >= -60571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -59267.641*0.3\nAnswer: -17780.2923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s**3 + 18*s**2 + s - 14. Let q(h) = 5*h**3 - 10*h**2 + 7. Let f(t) = -4*i(t) - 7*q(t). Let o be f(2). What is the closest to o in -1, -1\/4, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/(-20))\/((-28)\/(-100)*664\/1162)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/6 - 7*j**3\/6 - 4*j**2 - j. Let u be t(8). Let a = -7 + 15. Calculate the greatest common divisor of a and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.8 - -2.8. Let h = 0 + p. Which is the second biggest value? (a) -1\/7 (b) -5 (c) -1\/3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4889020 divided by -55\nAnswer: -977804\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x - 6. Let q(b) = -13*b + 8. Give c(q(w)).\nAnswer: -52*w + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g + 95 - g**2 - 7\/3*g**3. Let w = 4 + -5. Calculate t(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 r when four letters picked without replacement from plrllnnrllppnrrplpn?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 w when three letters picked without replacement from jwqjqejqneqwqqj.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 11 = -0. Suppose 0 = -j + f - 13. What is the least common multiple of -1 + j\/(-3)*3 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9898, -19813, -29728?\n\"Answer: -9915*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -21*y - 123. Let p(m) = 4*m - 15. Give 2*l(t) - 14*p(t).\nAnswer: -98*t - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19 + -16 - -12*3*-1. Let j = -20 - m. What is the remainder when 46 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 599235?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2521 = 5*o, -3*o + o - 2*i + 1002 = 0. Let r be o\/((-4)\/(2 + -10)). Round r to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 5 = 2*a + 3*z, -4*a = z - 16. Suppose -a*l = -l - 6600. Suppose 0 = 10*v - 8*v + l. Round v to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2864 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 385946.9942 - 385999. Let h = -52 - j. Round h to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*a - 189 = -5*b + 107*a, b = 2*b - a - 36 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:15 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 17*h**2. Let s(l) = 15*l**2 - 253808. Give s(j(n)).\nAnswer: 4335*n**4 - 253808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5450 and 1250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3811\/44604 + -61\/236. What is the common denominator of z and 23\/147?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2186*o + 102612 - 597 = -120957 for o.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 10 = 5*z, 3*b + 3*z - 14 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -741302 or -741301?\nAnswer: -741301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/3)\/(6\/45). Let j = t + -6. Let q be 4\/j*2*6. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3 + 75*c**2 + 90*c - 520 = 0 for c.\nAnswer: -13, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -299644, -299589, -299496, -299359, -299172, -298929, -298624?\n\"Answer: j**3 + 13*j**2 + 9*j - 299667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -131\/5*j + 26 + 1\/5*j**2.\nAnswer: (j - 130)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*k = -0*w + 254, -w + 57 = 4*k. Let d = -21 + 54. Calculate the remainder when w is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 13)*(-1)\/(-2). What is the highest common divisor of c and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/3 + 7\/3*w**3 + 10*w**2 - 1\/3*w**4 + 4\/3*w.\nAnswer: -(w - 10)*(w - 1)*(w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 528.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78246 is divided by 326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 75\/(-6)*432\/(-60). Let g = b + -33. Suppose -18*j + 15 = -g. Calculate the smallest common multiple of j and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*m + 86*m - 16*m + (m + 3*m - 3*m)*(-3 + 2 + 0))*(62*m**3 - 12*m**3 + 8*m**3).\nAnswer: 8816*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.03 - 0.03. Put 4, f, -4 in descending order.\nAnswer: f, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114*d**4 - 2687*d**3 - 5543893*d**2?\nAnswer: -2736*d - 16122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -167.0326?\nAnswer: 166.5326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1716 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/10)\/((-2)\/8) - (-207 - -209). Let x(g) be the second derivative of 0 - 2\/15*g**3 + 1\/10*g**4 - 1\/50*g**5 - 4*g + b*g**2. Solve x(f) = 0 for f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 13) in base 12?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y. Let r be ((-6)\/(-4))\/((-21)\/(-28)). Let v(m) = -r*m + y*m + 4*m. Let p(u) = -2*u**2. What is p(v(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -5*n + 2, 0*r - n = 5*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from nnennnnnnvnnnnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 t when three letters picked without replacement from ttyytrtttrryrttttry.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = 4*c. Suppose 5*f - 5*t + 5 = 0, -c*f + 3*t = -f + 11. Suppose 0 = 3*m - 8 - f. Do m and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + h - 8. Let s be 7 + -7 + 6 + h + 0. Factor 10 + 60*k**2 + 72*k + 2 + 14*k**3 + s.\nAnswer: 2*(k + 2)**2*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 4. Let t be (1 + 0)*-2 - -15. Let s = 3 + t. Solve 4*m = -o*m + s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 9. Let p be s(0). Let y = p - 8. Let b be (-1)\/(y + 9\/(-6)). Solve -2*z + z = -b*m + 13, 4 = -3*z - m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 8. Let u(m) = -3*m**2 + 1. Let j be u(1). Let n(t) = -t**3 - t**2 + t - 4. Let z be n(0). Sort j, z, q in ascending order.\nAnswer: z, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1 - 2 + 2*z**2 + 3. Let h(c) = c + 3*c**2 - c. Give h(i(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = 7*u - 25 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -8)*(-6)\/(-4). Solve 0 = -0*h + h + l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 61*q + 39. Let f be h(31). Solve f*j + 4 = 9*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**5\/20 - x**4\/2 + x**2 + 6*x. What is q(4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsdf. What is prob of sequence ds?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 308 and 36?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -58*v**3 - v**2 - v. Let d(f) = 54*f**3 - 6*f**2 - 10*f + 2. What is -d(k) - p(k)?\nAnswer: 4*k**3 + 7*k**2 + 11*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/5 - (-655996)\/220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4982 - -23.4582. What is o rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u + 52. Suppose -4*z = 2*q - 288, -q = 5*z - 130 - u. Let j = -77 + q. Calculate the remainder when j is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.5 + -4. Suppose 0 = -5*d - 0*d - 10. Put d, -5, c in increasing order.\nAnswer: -5, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/187304 and -35\/3382278.\nAnswer: 175878456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -22*(8\/(-16) - 0). Let m(j) = j**3 - 11*j**2 + 8*j + 8. Let o(a) = 19*a + 1. Calculate the remainder when m(p) is divided by o(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -364\/11*t + 0 - 6\/11*t**3 - 50*t**2.\nAnswer: -2*t*(t + 91)*(3*t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r. Let h(p) = -p. Let f(g) = -22*h(g) - 2*m(g). Let l(w) be the third derivative of w**5\/60 + 80*w**2. Give l(f(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 - 9*y**2 - y + 5. Let f(c) = 15*c**3 + 45*c**2 + 6*c - 24. Let g(s) = 4*f(s) + 21*h(s). Let g(u) = 0. Calculate u.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83245 divided by 3\nAnswer: 83245\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/30 + 7*u**4\/12 + u**3\/3 + 24*u**2. Let j be n(-7). Solve -3*t + j*s + 1 = -1, 2 = -t - 2*s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058 less than -649191984599?\nAnswer: -649191984598.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 10:31 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*q - 6 = 0, -2*t + 7*q - 2*q = 9. Let 0*b**2 - 8\/7*b**t + 0 + 0*b + 10*b**5 - 8\/7*b**4 = 0. What is b?\nAnswer: -2\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 times 0.4281\nAnswer: 0.119868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5652 + -0.69964. Let a = -0.131 - n. What is a rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19782 - 7825. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.00357 months in years?\nAnswer: 24.7502975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 20 (b) 1\/576 (c) 1 (d) 4 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 7589602.\nAnswer: 15179204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 1185423 and 1185414 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*g + 4*v, 3*g + 1 = -v + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 596 - 331. Is 53 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let c = 1 - d. Let x = -2 + -3. What is the smallest value in x, -4, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9304 + -9364.07. Round c to the nearest integer.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (39 - (26 + -22))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - w**2 - 5*w + 5. Let h be l(2). Suppose -5*f = -h, 3*r = 4*r - 3*f - 3634. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l - 6*l = -46398. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27055873 (base 9) to base 14\nAnswer: 1aab565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1397592 by -2478.\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 3323.\nAnswer: 1\/3323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*(-9 + 5). Let n = 8350 - 8323. Calculate the highest common factor of n and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -380274, 3, 24 in descending order.\nAnswer: 24, 3, -380274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -11011001111000100011?\nAnswer: -11011001111000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x - 46*x - 24 = -t, 2*x = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81581418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 - -94.1. Let s = k + -7.191. Round s to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074878.\nAnswer: 2, 7, 76777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 2) + 6 + -4 + -4. Let o(k) be the first derivative of -13*k**2\/2 - 5*k + 2. Is o(z) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsf when three letters picked without replacement from hfsfufffsfhssf?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 7*q**4\/6 - 49*q**2\/2 - 14*q. Find the first derivative of a(w) wrt w.\nAnswer: 28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/10308 and -31\/32.\nAnswer: 82464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + 13*q**2 - 7*q + 8. Let v be j(6). Let d = 7 + -1. Let s(f) = 4*f - 2. Let n be s(d). Calculate the highest common divisor of n and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*r + 435 - 435.\nAnswer: 370*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 - -62. Let u = 43 + f. Suppose 6 = 2*w - x, 4*w = -0*x + x + u. Calculate the greatest common factor of w and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2*z = -25, 5*r + 0*r + 3*z = -30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/245060 and -111\/80?\nAnswer: 980240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.33? (a) -9\/5 (b) -30 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-16)*-6 - (-7620)\/10160.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + o + o + 15 = 0, r = -4*o - 3. Suppose -2 = -j - 5*s - r, -5*j + 5 = 5*s. Solve 0*t = j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 808*i**3 + 224*i**3 + 332*i**3 + i.\nAnswer: 1364*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**9\/168 - i**5\/30 - 3*i**2\/2 + 2. Let t(h) be the second derivative of k(h). Find the third derivative of t(l) wrt l.\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5843*m**3 - 460*m**2 + 911*m**2 - 451*m**2.\nAnswer: -5843*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j. Let x be m(-1). Let v(o) = -5*o**x + o**2 + 3*o**2. Let u(c) be the second derivative of -c**4\/12 + c. What is v(u(r))?\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 - 22 + 2*k**4 + (-2*k - 2 + 2)*(k**3 + 3*k**3 - 2*k**3).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is aa073 + c?\nAnswer: aa081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 385432410, 770864821, 1156297232, 1541729643, 1927162054, 2312594465?\nAnswer: 2698026876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 2\/11 (c) 0.06 (d) -2 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 71*w + 3 - 23*w.\nAnswer: -94*w - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5471*l**4 + 3 + 5875*l**4 + 153 with respect to l.\nAnswer: 1616*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 26. Let u be 1\/(o - (-4)\/88). Calculate the highest common factor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11*k - 1. Let d be o(-2). Let a(q) = q**2 + q - 9. Let x be a(0). Let r = x + d. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 11*p**2 - 6*p. Let s(m) = -m + 1. Calculate -s(j) + v(j).\nAnswer: 11*j**2 - 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 less than or equal to 318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t. Let w be j(-2). Let k be (-8)\/w*(0 - 5). Suppose 0 = 10*r - k*r - 480. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from {v: 12, g: 2, m: 3, y: 3}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 749852957 - 134\nAnswer: 749852823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 1. Let p be n(-2). What are the prime factors of 38\/57 + (-223)\/p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m + 2*l - 25 = 0, -4*l = 5*m + 25. Is 24 a factor of -12*(-10)\/8*(-83)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a micrometer in nanometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -44, 2\/9, 11, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 30\/(-105)*-98?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41, -42, -39, -32, -21?\n\"Answer: 2*g**2 - 7*g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**4\/4 - 5*p**3\/3 + 3*p - 1. Let o be w(5). Let z(a) = -a - 1. Let u be z(-5). Solve 0 = -o*v + u*v - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004202 rounded to 6 dps?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 492863671 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 283?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 11379560.\nAnswer: 11379580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11225 and -0.918.\nAnswer: -10304.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 19*s**3 - s**2 + s + 1. Let q be d(1). Solve 4*n = 8*n + q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 - 66. Suppose -5*n - 3*f + 2431 = f, 3*f + 1951 = u*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 49 - (-21 + -34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 558*j**3 - 2*j**2 - 35*j + 85. What is the thousands digit of b(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/30 + j**4\/12 - 4*j**3\/3 + 2*j**2 + 13. Let m be z(-3). What is the second biggest value in -0.1, m, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnss when four letters picked without replacement from rsnrx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**6\/40 + f**5\/60 - f**4\/8 + f**3\/6 + 23*f**2. Let n be r(-4). Let j = -71 - n. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 9*q + 10 = 0, b - 33*q = -24603 + 24637 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 6*c. What is n(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 41 = 3*g, 4*l - 4*g + 55 = g. Let v be (-10)\/4*(-2)\/l. What is the nearest to v in 0, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230084.8 centuries to millennia.\nAnswer: 23008.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 equal to -118\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*o + 4, 5*s + o + 2 = 1. Let k = 1 - s. What is the lowest common multiple of 1 and (-10)\/(0 - k) + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, -3\/161, 1\/17, 0.03, -0.1?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 8, 2\/13 in ascending order.\nAnswer: -5, -2, 2\/13, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -25740 + 25743 - 33*w**3 - 2*w**2 - 3*w + w**2 in the form h*w**2 + o*w**3 + s*w + i and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**21)**(-33)\/((z\/(z*z**28))\/(z*(z*z\/(z*z**25*z))\/z)))**43 assuming z is positive.\nAnswer: z**28509","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*p + 10294 - 519. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e497a + 4?\nAnswer: -e4976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 33*q + 69. Calculate w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3500 divided by -1\nAnswer: 3500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*i - 5 = -4*i, 0 = -2*i + 8. Let y(x) = -x**3 + f*x**2 + 2*x + 3*x - 15 - 4*x**2 + x**2. What are the prime factors of y(7)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17.5 and -705893305?\nAnswer: 705893287.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4107 in descending order.\nAnswer: 4107, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -88267, -176532, -264799, -353068, -441339, -529612, -617887?\n\"Answer: -m**2 - 88262*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90942 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*l**2*m**2*t + 29*l**2*m + 2*l**2*t + 4*l*m**2*t - l*m**2 - 9*m**2*t + 75*m*t wrt l.\nAnswer: -104*m**2*t + 58*m + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 0*k - 4*k = k, k = -13*d + 3*k - 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -10. Let a = 15 - 11. Let p = v + a. Put 4, p, 2 in ascending order.\nAnswer: p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.2511947 - 0.3.\nAnswer: 2.9511947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 16 = -6*l + 2*l, 6 = -3*l. Let x be f + (-6 - (-93)\/51). Sort x, 4\/5, -2\/11.\nAnswer: -2\/11, x, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by (657\/(-54))\/((-4)\/24)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0. Let h = 1.49 + 0.31. Let l = h + -2. Which is the closest to m? (a) 0.1 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -778 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -609987 divided by 6559.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 31, 18, -15, -74, -165, -294, -467?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 34. Let w = 0.01 - -0.49. Which is the nearest to m? (a) 2\/7 (b) -2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**5\/60 + 9*x**4\/8 - 19*x**2 + 799*x. Let w(k) = -4*k. Let o(b) = 3*b. Let r(u) = -7*o(u) - 5*w(u). Determine r(s(n)).\nAnswer: n**2 - 27*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -15, -3*c - 5*l + 19 = c. Suppose c*b = 3*b + 3240. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1146 - -337. Let j = q + -1483.0000004318. What is j rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 31 = -4*f, -4*t + 56 = -0*f + 4*f. Let d = -26 + 39. Let p = d - f. Put -5, 0, p in increasing order.\nAnswer: -5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**4 + 3*v**4 + 0*v**4 + (-v**2 - 2*v**2 + v**2)*(-2*v**2 + 3*v**2 + 0*v**2) + 3*v**4 + 2*v**4 - 6*v**4 - 3*v**4 + 2*v**3 + 0*v**4 + v**4.\nAnswer: -7*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*a - 19. Suppose 0 = a*y - 16 - 5. Let b(t) = 14*t - 9. Is b(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (2 + (7 - 4) + -10) - 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-157*y - 481*y - 430*y)*(2*y**3 + 3*y**3 + 3*y**3) as u*y**3 + v*y**2 + w*y**4 + j*y + i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21211344*w**4 - 63*w**2 + 100821*w.\nAnswer: -509072256*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*2*6)\/sqrt(768))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -78047*-5\nAnswer: 390235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(192) + sqrt(192) + 1 - sqrt(192)) + 4)*-3 + -5 + 5 + 3 + (sqrt(192) - (0 + sqrt(192))))**2 + -4.\nAnswer: 25056*sqrt(3) + 69773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -0.89?\nAnswer: -13.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*s + 444*s = 79*s + 91*s - 7520 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -624\/296683?\nAnswer: -624\/296683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + o. Let p(q) = -q**3 + 6*q**2 - 4*q - 2. Let a = -3 - 0. Let t = 2 + a. Calculate t*p(i) - 6*v(i).\nAnswer: i**3 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*t - 2*t + 280, -5*t + 2*w + 280 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -732, -816, -888, -942, -972, -972?\n\"Answer: q**3 - 91*q - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 4*i + 35*i**3 - i**2 - 33*i**3 to w*i**3 + d + x*i**2 + f*i and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 876051689024.\nAnswer: 876051689021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52 - -4?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*x - 32, g + 3*x + 36 = 2*g. Suppose -4 = 4*n + 2*o - 26, -5*n + o = -31. Suppose -n*b = -2*b - g. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 139, 208, 347, 580, 931, 1424?\nAnswer: 2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40986 divided by -6?\nAnswer: 6831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174.929 + 175. Let u = -456.179 + 455.6. Let c = h - u. Round c to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/553 or 1?\nAnswer: 2\/553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2416 - 2416. Solve -k + 2*k = 5*b - 23, -3*b - 4*k = l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418678 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(10*x + 23*x - 9*x) + (0 + 1 + 3)*(x + 3*x - 2*x).\nAnswer: -64*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(22\/(-4))*10\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 35*v - 12*v = 10*v + 6*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2)*(-2 + 3 + 1) - 2268 + 4142 + 878)*(-j - j**3 + j).\nAnswer: -2748*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1516, -5927, -13224, -23407?\n\"Answer: -1443*u**2 - 82*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40223 times 0.1?\nAnswer: -4022.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - (19 - 10))*(-115)\/(-2). Let i = 214 + r. Calculate the highest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 7 + -1 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1460759, 1460740, 1460705, 1460648, 1460563, 1460444?\nAnswer: 1460285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -360.8 + 365.8. Which is the closest to 2\/9? (a) -0.13 (b) w (c) -0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**3 + u**2\/2 - 11*u - 2. Let x be (-2 - (-2 + 3)) + -5. Let g be l(x). Round g to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34, 40, 40, 28, -2, -56?\n\"Answer: -c**3 + 3*c**2 + 4*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -472445?\nAnswer: -472440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r - 1. Let t be a(1). Suppose i**2 + i**4 + i**3 - 3*i**3 + 4*i**t = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 24*i + 678. Determine l(-9).\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 18 = -17*d. Let v be 0\/(-5)*(-2)\/d. Round v to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 7*z**2 + 9*z - 2. Give k(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 5 (c) -2165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 38, -6, -1\/6, 5\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - -0.1. Let a = -9.5 - -14. Let u = 5 - a. What is the third biggest value in u, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 218, 737, 1594, 2783, 4298, 6133, 8282, 10739?\n\"Answer: -p**3 + 175*p**2 + p + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -15*l**2 + 197*l - 459. Calculate f(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007016 rounded to 6 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = a + 139368, 23032 = 2*o - 5*a - 46670. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2. Let a(q) = -2*q**2 + 0*q**2 + 4*q**2 + 0*q**2. Give w(a(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/33 and 37\/1059?\nAnswer: 11649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4\/3 + 2104*y**3 - 217566*y**2 + 646388*y\/3 = 0.\nAnswer: 0, 1, 106, 3049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 31*j - 19*j - 3)*(6 + 3*j - 6).\nAnswer: 36*j**2 + 48*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 6. Let p(n) = -n + 3. Let x(f) = -2*d(f) - 5*p(f). Let u be x(10). Suppose -u*j = -5*j - 22. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 17*d**2 - 892*d - 889. Calculate c(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 636*-147.8.\nAnswer: -94000.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98128323.\nAnswer: 3, 10903147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501*k**2 - k + 20 + 1104*k**2 - 298*k**2 + k - 302*k**2.\nAnswer: 3*k**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 + k - 2. Is l(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-564)\/15 + 4\/(-10). Let i = -26 - m. Suppose 2*y - 12 = i. What is the lowest common multiple of y and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-20)*((-6)\/15)\/(1815\/(-330)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 39*f - 32 + 5*f**2 - 6630*f**3 + 6631*f**3 to the form s + b*f**2 + l*f + w*f**3 and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*b = 657, b = -0 - 3. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*g - 48*g - 426 = 0. What are the prime factors of g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/17 (b) 4 (c) 0.4 (d) -2\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69401992?\nAnswer: 2, 11, 788659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 35. Let n(c) = -c**3 + 8*c**2 - 5*c + 22. Let r be n(x). Let f be (-19)\/6 + 6\/r. Put 5, f, 41 in descending order.\nAnswer: 41, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 482*c**2 + 199*c - 137166. Determine p(-483).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0)*(-5 + (-1 - -5)). Solve a = s + 2*m + 2, 3*m - 5*m = -2*s + 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 4, -0.1, 0.13, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94 and 77?\nAnswer: 7238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -3, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 13 + 0\/(-2). Suppose 0 = 5*u - 6 - d. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(252)*1 + -3)**2*-3 - ((sqrt(252) - (2 + sqrt(252)*2)**2) + (-3*(sqrt(252) + -1) - sqrt(252)))) + -2.\nAnswer: 229 + 174*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1. Let q(w) = -w - 4. Let y(t) = -4*k(t) - q(t). Let b(c) = 3 - 5 + 2 - 9*c. Determine b(y(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 12*x**2 - 10*x + 12. What is q(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 3*x + 3. Let k be r(-2). Let v = k - 13105. What is v rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**6\/120 + c**5\/20 + c**4\/24 - c**3\/2 + c**2\/2 + 4*c. Let o(h) be the first derivative of n(h). Factor o(u).\nAnswer: -(u - 3)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 1, b: 1, c: 1, e: 2}. Give prob of sequence ee.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 583 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001010101 - -1000111010011?\nAnswer: 101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25609148.\nAnswer: 2, 6402287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 88*a**2. Let j(d) = -d - 2247. Calculate k(j(m)).\nAnswer: 88*m**2 + 395472*m + 444312792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 168717.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/1265 and (-14)\/(-82)*17\/(5797\/(-62)).\nAnswer: 51865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*((s**0\/s)\/s)\/s)**(-1\/23) assuming s is positive.\nAnswer: s**(2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 - 849*j**2 - 1629*j - 831. Let d(o) = -3*o**3 - 847*o**2 - 1635*o - 831. Let u(n) = 6*d(n) - 5*m(n). Factor u(w).\nAnswer: -3*(w + 1)**2*(w + 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 509, 999, 1491, 1985, 2481, 2979, 3479?\n\"Answer: n**2 + 487*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12252 - -12248. Let g = 0 - -0.03. What is the nearest to g in -5, y, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3895 - 3893. Solve 0 = 44*o - 43*o - l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104 - 82. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1913135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.4 (b) -0.4998 (c) -1\/4 (d) -1 (e) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650\/14 + (-6)\/(-42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 189663, 379329, 568995?\n\"Answer: 189666*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - 3*p - 2*p + (109 - 109 - 9*p)*(1 + 1 - 7) in the form j*p + z and give j.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*p**2 - 12*p**2 + 69*p**2 + 198 - 10*p**2 as f + x*p + q*p**2 and give f.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 49*f**4\/24 - 235*f**3\/6 + 101*f**2 + 2. Let w be i(5). Solve -13*c = -18*c + w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 5*j - 3*o, -4*j + 23 = -3*j - 2*o. What is the highest common factor of j and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64202.\nAnswer: 2, 47, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.56022 months in centuries?\nAnswer: 0.06046685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-5) - (-8)\/2. Let u be 0\/2*(-3)\/(-6). Suppose 5*c - 3*c - 4 = u. Solve 0 = -f - 3 - z, 0 = -c*k + 2*f + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cle when three letters picked without replacement from {e: 2, l: 1, y: 2, q: 1, c: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011111111011 + -100101?\nAnswer: 1100011111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4 - 1.6. Which is the third smallest value? (a) o (b) 2\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 2*z - 1, 3*c + z + 9 = -3*z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 781 and 23359.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(((-54)\/4)\/(407\/407))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 2*g**2 - 20*g + 21. Let j be u(7). Let x = -317 - j. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-16))\/((21\/(-9))\/7)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -7. Let t = 28.99999945 - l. What is t rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1945*v**4 + 27*v**2 + v + 8234.\nAnswer: -23340*v**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3504 divide 14856960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.208, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387 a factor of 18499177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 167452 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c - 5*c**3 + 12*c)*(-c + 0*c + 3*c)*(-2 - 2 + 7).\nAnswer: -30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 564 and 2302389?\nAnswer: 9209556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27991 - -28006. Solve 0 = -18*t + 15*t + 2*z + 1, -3*z = c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v + 5*v + 11*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -27)\/(2 - 4). Let 8 - 16*l**4 - 21*l**4 - s*l**4 + 12*l + 49*l**4 + 2*l**2 - 3*l**3 = 0. What is l?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 198 - 290. Let w = r - -97. Let s = -7.8 + 8. Which is the third biggest value? (a) s (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*c + 25. Let f be (5\/3)\/((-2)\/c). Suppose 4*u + j - 6 = 0, 0 = -f*u - 0*j - 4*j + 2. Solve -u*p - 4 = 3*p + 2*y, y - 5 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from ussusvuvu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-5) + (-2)\/(-1). Suppose -3*n = -x*n. Suppose n = -4*a + 3325 + 1075. Round a to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 4*a + 105. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = k - 45, 3*k - 258 = 4*r - 85. Suppose -3*y + 391 = k. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*w + c, -w + 5*w + 3*c + 16 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2 + 30*s - 16*s**2 - 60*s + 30*s. Let f be v(2). Let l = f + 90. What is the highest common divisor of 36 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 908 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-1)\/(-3)*-6. Suppose -5*z + 4*p = -45, 0 = -n*z + p + 2 + 13. Solve z = 3*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1079 and 2247557.\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3394 = 4*x + 2*q, 2*q - 4*q = 2. Does 35 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 172*a + 171*a - 54*a**2)*(-3 + 2 + 2).\nAnswer: -51*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36692 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(13 + (-285)\/(-180)*-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -195? (a) 0.05 (b) -28 (c) -1\/3 (d) 2 (e) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-12) - 2\/8. Let g = 1169.3 - 1169. Put -1\/9, g, w in descending order.\nAnswer: g, -1\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**3 + 31*y**2 + 7*y - 2. Let x be o(-6). Find the common denominator of 0\/x + (-6)\/((-360)\/(-22)) and 19\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 440, 1519, 3630, 7115, 12316, 19575, 29234?\nAnswer: 41635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13429*c**5 + 267*c - 23.\nAnswer: -268580*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, 3, -17\/8, 0, -2\/17?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 116487.\nAnswer: 46594.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 172\/16673, -0.1, -4.2, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1043 and -1048 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 2*x**3 - 3*x**2 + 2*x + 1. Let g(q) = 26*q + 161. Let a be g(-6). Is 17 a factor of r(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3129*w**2 - 259.\nAnswer: 6258*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63522 by 3529.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -d + 1, 2*w - 2*d = -0*d - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.528 + -0.472. Which is the third smallest value? (a) 0.3 (b) -4\/17 (c) -2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from aaoewwv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52863141 to the nearest integer?\nAnswer: 7271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1872)*-2 + sqrt(1872) + (sqrt(832) - -2*sqrt(832)) + 1)**2 - (sqrt(26)*-2*-2)\/(sqrt(2) + sqrt(18)\/(sqrt(36)\/sqrt(4))).\nAnswer: 22*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 661973873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -2*o**6\/3 - 12*o**5\/5 + o**4 + 4*o**3 + 30. Find p such that z(p) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(0*z**2 - z**2 - z**2)*(-70*z + 14*z - 5*z).\nAnswer: 244*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0\/7)\/(-1) - 5816\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/160 and 129\/1111600.\nAnswer: 2223200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109? (a) -0.3 (b) 1\/7 (c) 3\/2 (d) -337 (e) 2 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-14)*(-208005)\/(-8490).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 216.1 - -679.9. Let i = 896.000661 - b. What is i rounded to 5 decimal places?\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - 4*z + 5*z)*(39*z + 23*z - 16*z)*(z**2 + 7*z**2 - 4*z**2) to the form y + k*z**3 + q*z**4 + a*z + l*z**2 and give q.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**4*o**2 - 92*c**2*o**2 - 2*c*o**2 - 3*c*o + 5 wrt c?\nAnswer: 36*c**2*o**2 - 184*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06413 rounded to three decimal places?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, e: 2, g: 8, v: 1}. What is prob of sequence gg?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**6\/210 + 22*k**5\/15 + 2*k**2 + 2*k + 3548. Factor t(m).\nAnswer: 4*m**2*(m + 154)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9926 divided by 709?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 5. Let g be s(5). Let d = 0 - g. Let b = 3 + -5. What is the nearest to b in d, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, z: 3, g: 6, f: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 5*v + 21, -17 - 7 = -4*g - 4*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k + 15. Let m(d) = 3*d + 7. Let v(c) = -5*m(c) + 2*q(c). Let h be v(-8). Suppose 5*r - 2*w + 4 = 18, -5*w = h*r - 27. Which is smaller: r or 7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9734 is divided by 2129.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 222362 to the power of 1\/2, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from rfoxxmu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1837 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 125163 to the nearest 100.\nAnswer: 125200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -4 + 13 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/1950 and 151\/2886?\nAnswer: 72150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10175295 and 390?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 7*j**3 + 2*j**3)*(-2829905*j + 2832263*j - 2 + 2).\nAnswer: -16506*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 o when three letters picked without replacement from {o: 12, i: 7}.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 = v, 2 = -2*f - f - 5*v. Let p = -40 - -59. Let q = p - f. Calculate the highest common divisor of 72 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 52. Let z be 1 + 1 + (-4)\/(-2). Let h = z + 0. Which is the second biggest value? (a) d (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152548541?\nAnswer: 71, 137, 15683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -23. Let f(r) = 2*r**2 + 2*r - 3. What is f(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-24))\/(-1) - 11\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118.06 - -119. Let b = -0.9400059 + n. Round b to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*-5606205.\nAnswer: -134548920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4\/7 (c) 17 (d) -3 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:07 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20106, -20081, -20062, -20049, -20042, -20041, -20046?\n\"Answer: -3*a**2 + 34*a - 20137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 368*m**2 - 8177*m + 1506*m - m**3 + 385*m**2 + 0*m**3 + 6*m**3 wrt m?\nAnswer: 30*m + 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {t: 3, e: 1, g: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**6\/180 - 5*d**4\/6 - 14*d. Let a(f) be the third derivative of c(f). Let k(q) = -q. What is a(k(s))?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 25*t**2 - t. Let p(w) = 2*w**3 + 2*w**2 + w. Let m be p(-1). Let d be z(m). Let x = d + -21. Solve l + 4*l - x = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from knnnnppinntyiyyyn?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 4254?\nAnswer: 4254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318, -738, -1172, -1620, -2082, -2558?\nAnswer: -3048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zttt when four letters picked without replacement from zzzvttqtvzzzzzt.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*j - 7599985, -2*j - j - 7600009 = 2*r. Round r to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520 and 115.\nAnswer: 11960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 10. Let s be g(-7). Let q(o) = o**3 - 3*o**2 + 3*o + 3. Let v be q(s). Let a = v + -8. Solve -4*n + k + a*k - 26 = 0, 0 = n - k + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/140*7)\/((-1)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -2718 (c) 2\/249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15219463 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/(-6) + 60\/45. Determine f, given that -f**3 - i*f + 14*f - 4*f**4 + 8*f**2 - 5*f**3 + 2*f**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 + 3243*a**4 - 6495*a**3 + 3249*a**2.\nAnswer: 3*a**2*(a - 1)**2*(a + 1083)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316497, -316467, -316437, -316407, -316377?\nAnswer: -316347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*n, -2*n = -n - 2*o - 9. Suppose -4*d - 6 = -0*x - x, 0 = 5*x - d - 11. Let l be (x - (n + -1))*-1. Solve -5*s - 3*r = -l*s + 6, -8 = 4*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1151 + 1213157?\nAnswer: 1214330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = v + 21. Suppose 5*z - 43 - 19 = v*b, -4*z + 24 = 4*b. Let p be 2\/((5\/9)\/(z\/12)). Sort p, -5, -4.\nAnswer: -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**6\/y*y))\/y**(1\/5))\/(((y*y\/y**(-6))\/y)\/y**(3\/4)) assuming y is positive.\nAnswer: y**(-249\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 0*v**4 - 2*v**4 + (2*v**3 - 4*v**3 + v**3)*(-2*v + 2*v - 2*v) - 4807*v**3 - 4806*v**3 + 9*v**4 + 9566*v**3.\nAnswer: 10*v**4 - 47*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820 is divided by 178?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -369 - -439. Calculate the highest common factor of 182 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 4:14 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26365800 at most 237292211\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -463, -872, -1269, -1642, -1979, -2268, -2497?\n\"Answer: 2*b**3 - 6*b**2 - 405*b - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 + 99*p**3 - 5*p**3 + (p + 0*p - 2*p + p**3)*(1 + 3 - 6).\nAnswer: 95*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*13.2.\nAnswer: 303.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -2. Suppose -4*m - 12 = 2*k, 3*k + 180 = -2*m + 154. What is the remainder when f is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276167526.\nAnswer: 2, 3, 823, 55927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3. Let c = 1 + -3. Let y(d) = -11*d + 11*d - 4 + 5 - d**3. What is c*y(k) - o(k)?\nAnswer: -k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -29*k + 23*k + 14*k + 5. Let y(s) = 7*s + 4. Determine 6*u(n) - 7*y(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) + 11\/3. Suppose 5*k - z*p = 0, -k + 27 = -4*p + 10. Let o = -0.5 - -0.1. What is the nearest to -2\/5 in 2, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 2 (c) -44\/9 (d) 2\/19 (e) 0 (f) -4.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 + 2*g**3 + g**3 + 2*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 30. Which is the fourth biggest value? (a) -0.1 (b) n (c) -1\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -4, 2, -4031.\nAnswer: -4031, -37, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**5 + 74*f**4\/3 - 3791*f**3\/3 - 2928*f**2 + 3300*f + 864 = 0.\nAnswer: -24, -3, -2\/9, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 620, 0, -7 in decreasing order.\nAnswer: 620, 4, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0.1639.\nAnswer: -3.1639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 27*v**3 + 6*v**2 - 40*v + 1. Let m(p) = 88*p**3 + 18*p**2 - 121*p + 4. Let a(r) = -2*m(r) + 7*z(r). What is the second derivative of a(c) wrt c?\nAnswer: 78*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 + l**5 + l**5 + (-5*l + 6*l + l)*(5*l**4 - l**4 - 3*l**4) + (-2 - 2*l + 2)*(2*l**4 + 3*l**4 + 9*l**4).\nAnswer: -23*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*u**4 - 265*u**2 wrt u?\nAnswer: 3216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 82, 84, 86, 88, 90?\n\"Answer: 2*c + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3335, -6334, -9297, -12206, -15043, -17790?\n\"Answer: 3*s**3 - 3020*s - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) 3 (c) -14 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11145 = -964*q + 221*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 = -5*l, -9*l - 4 = -8*l + 4*p. Solve y + l - 1\/2*y**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -78*s - 27. Is m(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k + 112. What is t(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1176 and 51352.\nAnswer: 154056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -9 - (-155 + 101).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Suppose w + 90 = 2*d. Calculate the remainder when d is divided by (-226)\/5*25\/(-95) + 12\/114.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(240)\/sqrt(3) - sqrt(5)))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 + 8*b - 44. Let z(i) = i**2 - 3*i + 15. Let c(j) = 6*s(j) + 17*z(j). Determine c(-3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 8. Suppose h*x = 271 + 116. Suppose 0 = 5*j - x - 316. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6336)*4 + sqrt(6336) - ((sqrt(6336) + sqrt(6336)*-2 - sqrt(6336)) + sqrt(6336))*-4)\/((sqrt(4) - (sqrt(196)*2 + sqrt(196)))*5*2) + -3.\nAnswer: -3 - 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {q: 13, l: 3}?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c - 8. Let s be n(-6). Suppose -2*d - 6 = -4*d. Let q = d + s. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(11) - -2*sqrt(11)))\/((sqrt(40)*3)\/sqrt(10) - sqrt(4)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18 + (-2 - (2 - 1)). Suppose 5*f - 2*f = -4*k + j, -2*k + 2 = -4*f. Suppose -124 = -i - k*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4))**(2\/35))**(-13\/5) assuming p is positive.\nAnswer: p**(-13\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-6))\/((-40)\/64).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 12:04 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 59203079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y + 1. Let x be k(2). Does -5\/3 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 8*k**2 + k + 5. Let g be r(-8). Let w = 13 + g. Calculate the remainder when (-3 - 132\/(-20))*(-2 + 7) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -78. Suppose 4 = 2*r, 0*a - 3*a + 3*r + 21 = 0. What is the remainder when a is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53139?\nAnswer: 3, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 >= -142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 81. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) -0.1 (c) 5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36\/((567\/(-342))\/(-21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from gsegsege.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 1\/6*g**3 + 1\/12*g**4 - 127\/4*g**5 + 0*g**2 - 3*g + 0. Is j(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.58933l to millilitres.\nAnswer: 82589.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*u + 92*u + 3360 = 0. Is u greater than or equal to 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8421 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 3087*g + 9231. Determine j(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22559 less than 3.9?\nAnswer: 22562.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/51 (b) 1\/25 (c) 92 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54557112*y - 1 + 27278558*y + 1 + 27278553*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71743226641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times 624.1502?\nAnswer: -19972.8064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -5392.08?\nAnswer: 5391.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11 + 10 + 4*c - 98. Is n(26) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = 2*d, -2*d - 5*s + 10 = -4*s. What is the smallest common multiple of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/9, 5, 0.2268, -0.3 in decreasing order.\nAnswer: 5, 0.2268, -0.1, -1\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 2*r - 24, -5*p - r = -449 + 472 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2 - (-7 - (1 - 12))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from qjjqkjkqkkkjkkjjk.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 + 5241*y**2 - 26*y**3 - 3*y**4 - 4*y**4 - 4*y - 5243*y**2 + 4*y**4 as a*y**2 + m + z*y**4 + g*y**3 + b*y and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (190050\/9955)\/(18\/(-44))*(-3 - 46\/(-16))?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -1\/1440*h**6 - 1\/240*h**5 - 1\/3*h**3 - h**2 - 1\/96*h**4 + 0*h + 0. Let q(r) be the first derivative of t(r). Factor q(x).\nAnswer: -(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*z - 11, 4*z - 8 + 3 = d. Suppose n + 0 = d. Suppose 5*l + 17 = n*w - 5*w, 0 = -w - 4*l - 16. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w)\/w**(1\/24))\/(((w*w*w\/w**(-2\/11))\/w)\/w**2) assuming w is positive.\nAnswer: w**(-587\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**2\/2 - 2*p - 14. Let y(t) = 3*t + 5. Let k be (-34)\/(4*1 - (-10 - -12)). What is k*l(c) - 6*y(c)?\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2. Let g(y) = -98*y. Let u(x) = 18*x. Let v(n) = -5*g(n) - 28*u(n). Calculate v(l(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1.1. Let q = -104 + 1142\/11. Suppose 13 = -9*d - 5. Which is the closest to r? (a) d (b) q (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + -2 + (2 - -7 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7452*z**4 - z**3 + 699*z + 3?\nAnswer: 89424*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + 0. Let l be 18\/(-63) + (-38)\/t. Let k = -49 + 48. Sort l, k, 1, 2.\nAnswer: l, k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140) + sqrt(35))*-3)\/(sqrt(5) - (sqrt(720) + sqrt(45))\/sqrt(9)))**2*4.\nAnswer: 567\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 262607180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 303, -0.08, -0.2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1867 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away -121?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212410 (base 5) to base 9.\nAnswer: -10823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 7*r**2 + 10*r + 25. Calculate v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4625430978771 take away 10?\nAnswer: -4625430978781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**7\/210 - k**6\/40 - k**5\/60 + k**4\/8 + k**3\/3 - 5*k**2\/2 - 3*k. Let d(u) be the first derivative of i(u). Factor d(w).\nAnswer: -(w - 1)*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 2*k + 2105101 - 2105070 to the form d*k + t and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 6 + 11 + (3 - 4 + 3)*(0 + 2 + 0) + 3 + 3 - 7)*(0*r + r**4 + 0*r).\nAnswer: 25*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 473755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648732 < 3648731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 8904?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14700 divided by 2.\nAnswer: 7350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/196 and -8\/4523575?\nAnswer: 126660100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 515712 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 12:18 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7336207 by 53.\nAnswer: -138419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9469?\nAnswer: 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-356 + 160 - 230 - 10)*(-t - 7*t + 2*t).\nAnswer: 2616*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**3\/15 + z**2\/10 - 4*z - 273. Find k such that f(k) = 0.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ottwtwwtooo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763615759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94038?\nAnswer: 2, 3, 7, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**5 + 3*h**4 + 3*h**3 - 16*h. Let i(r) = -r**5 - 4*r**4 - 4*r**3 + 17*r. Let w(q) = -3*i(q) - 4*n(q). Find the second derivative of w(k) wrt k.\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142181.4 >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 837?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 753, 748, 733, 702, 649, 568?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/12)\/((-18)\/12). What is the closest to 0.088 in -3, -1, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -4\/21*n**3 + 0*n - 1\/105*n**5 - 62*n**2 + 0 + 1\/14*n**4. Factor f(v).\nAnswer: -4*(v - 2)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -8686b?\nAnswer: 86866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1599 + 1581 - (-28 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**3 - 1 - 2*h**3 - 7 + 11 - 38*h in the form a*h + v*h**3 + i + k*h**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -593? (a) 4 (b) -2\/7 (c) -109 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36.9999863 + -37. What is a rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -232.\nAnswer: 7\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62\/11 - -463\/88. Which is the smallest value? (a) -0.1 (b) h (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74550210 to the nearest 100000.\nAnswer: -74600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*(-44)\/(-1040) + (-2)\/(-10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40318 + 40293.1101. Let y = -271 + 295.9. Let f = y + z. Round f to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*z - 18*z - 149*z + 604*z - 128*z - 11.\nAnswer: 203*z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + (sqrt(612) - (0 + sqrt(612)))*-5)**2 + -5 + sqrt(612)*2 + 0.\nAnswer: 12*sqrt(17) + 607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -1.8. Let o = 1.7000013 - j. What is o rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -153 and -4320.4.\nAnswer: 661021.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2956956 - -0.3.\nAnswer: 2956956.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a - 1. Let s(u) = 195*u - 25. Let f(w) = 15*w - 2. Let c(l) = -40*f(l) + 3*s(l). What is -2*c(k) - 9*r(k)?\nAnswer: -6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545572 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.86 and 0.66.\nAnswer: -0.5676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1275) + sqrt(1275) + 2*sqrt(1275))\/(sqrt(6)\/sqrt(2)*6) + (sqrt(51)\/sqrt(3)*-2)**2 + (-1 + sqrt(51)\/sqrt(3))**2 + -2*(1 + sqrt(1377)).\nAnswer: -50*sqrt(17)\/3 + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 366.98 + 8.02. Which is the third biggest value? (a) u (b) 1\/3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -498.903?\nAnswer: -1995.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/1242)\/(3*(-3)\/36)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125743?\nAnswer: 125743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -ae3809a?\nAnswer: ae38098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmbbbzzmmzmbzb. Give prob of sequence zbzm.\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7047543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178148 or 177995?\nAnswer: 177995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2.016. Let r = v + -0.039. Round r to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29487.\nAnswer: 3, 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 10. Sort -5, l, 2 in descending order.\nAnswer: l, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-1 - -1) + 14\/4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 3*x + 0*x + (-5 + 2 + 2)*(4*x - 2*x - 4*x))*(2*x**3 + 2 - 2 + (1 - x**2 - 1)*(-3*x + 3*x - 2*x) + 37*x**3 + 2*x**3 + 13*x**3).\nAnswer: 224*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2101446 or -2101459?\nAnswer: -2101446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - 22\/(-4). Let m = -185\/77 + 39\/11. Let x = -31\/21 + m. Which is the nearest to 0? (a) s (b) x (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 30, 44, 72, 120, 194, 300, 444?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-6)\/(3 - 1)) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -17 (b) -37 (c) 16\/5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -412 - 32?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 525?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404, 710, 1122, 1646, 2288?\nAnswer: 3054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23021003113 - 2?\nAnswer: -23021003121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1081, -1078, -1065, -1036, -985, -906?\n\"Answer: d**3 - d**2 - d - 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148.8656km to nanometers.\nAnswer: 148865600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 15*q - 29. Let f be d(16). Let v be 1\/(-2) - f\/18. Which is smaller: -8 or v?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 299289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19153*x - 9066*x - 10071*x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 2*k**2 + k + 1. What is s(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -50. Let c(i) be the second derivative of o*i + 3\/2*i**2 - 1\/2*i**3 + 0. Differentiate c(d) wrt d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404667701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**4 - 62*r**3 + 394*r**2 + 450*r + 4. Let m(v) = -4*v**4 + 125*v**3 - 789*v**2 - 900*v - 9. Let b(o) = 9*c(o) + 4*m(o). Factor b(p).\nAnswer: 2*p*(p - 15)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - v**2 - v**2 + (1 - 1 - 2*v)*(0*v - v + 6*v).\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5002 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5716798.\nAnswer: 2, 47, 61, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**4 + 300*h**3 + 1935*h**2 + 2950*h + 1320 = 0. What is h?\nAnswer: -4, -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -836 and -2.09056103.\nAnswer: -838.09056103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2795, -2776, -2757, -2738, -2719?\n\"Answer: 19*n - 2814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n + 200 = 4*j, -n = -j + 50. Let r be (-6)\/(-27) - j\/(-18). Suppose r*o = -4*o + 35. Calculate the greatest common divisor of o and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(600))\/(sqrt(2) - sqrt(1568) - sqrt(2)).\nAnswer: -5*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l. Suppose 0 = -11*v + 13*v - 4. Let q(k) = -20*k**2 + 32*k**v - 10*k**2. What is i(q(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 366753 + -366753.0226403. Round b to 4 dps.\nAnswer: -0.0226","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/25, 3, -4?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 19 = -10*j, -37*j + 8 = -4*o - 39*j - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 96. What is the nearest to 2 in i, 0.3, -1.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 52\/(-6)*(-6)\/4. Suppose u - c = -4. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2217 = 2159. Suppose 0 = -5*r - 4*t + 2745, b*r + 2196 = 62*r + t. Calculate the greatest common divisor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 1 + 0*b - b)*(5 + 3 - 5).\nAnswer: -3*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaxx when four letters picked without replacement from {x: 5, a: 2, j: 2, z: 6, u: 3}.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7. Let w be (-2 - -1)\/(15 - 5 - 9). Let k = i - w. What is the biggest value in -5, k, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101\/2 + -49. Let m = -1417219\/3522369 - -2\/40487. Let w = m - -2\/29. Which is the nearest to 1? (a) w (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (1 + 0))*5. Let a be 16\/(-28) + 39\/7. What is the second derivative of -m*f**5 + f - 3*f**5 + 5*f**5 + 4*f**a wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 29*x**2 + 220*x - 1094. Calculate n(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2020*t - 14135. What is a(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 12. Let p be w(14). What is the greatest common divisor of 130 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 140*r + 2453. Let o be g(34). Let s(h) be the first derivative of -5\/2*h**2 + h**3 + 3 + 1\/4*h**4 - 1\/5*h**o + 2*h. Factor s(n).\nAnswer: -(n - 1)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n - 4*n)*(3*n - 2*n**4 - 3*n) - 400*n**3 + 25*n**5 + 400*n**3.\nAnswer: 39*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8611*h**3 - 7773*h**3 + 25252*h**3 - 6500*h**3.\nAnswer: 2368*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3*y + 15 = -c, 3*c + 3*y + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)*c)\/(((c*c\/c**8)\/c)\/c) assuming c is positive.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(30\/((-720)\/88))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -594*n - 598*n - 591*n - 596*n - 591*n - 3 + 2978*n. Let u(o) = 4 + 0 - 17*o + 2. Determine -13*d(r) - 6*u(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1245 + 0.0845. What is the biggest value in -11, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22676 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Let i be 34\/10 - f\/5. Which is the second biggest value? (a) i (b) 0.5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223371063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f + 2*f**3 - 5*f + (4*f - 2*f - 7*f)*(f**2 + 4*f**2 - 4*f**2).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8937934 centuries in decades?\nAnswer: 8.937934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141\/(10293\/730)*3*(-3)\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.9826g to milligrams.\nAnswer: 91982.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 48\/18*(150\/220)\/(-5)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/17, 2\/7, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -456, 1.3, -4, 0.3.\nAnswer: -456, -4, 0.3, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from csccccccccscsc. Give prob of picking 1 c and 3 s.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4527327571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45905508 by 561.\nAnswer: 81828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*t + 112*t = 2145026. What are the prime factors of t?\nAnswer: 2, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 9*u**2 - 6*u + 6. Let f be a(8). Calculate the highest common divisor of 55 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/15330798 and -30\/13.\nAnswer: 199300374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 2*m - 2. Let i(k) be the second derivative of k**4\/12 + k**3\/2 + k**2\/2 + 3*k. What is the remainder when i(3) is divided by v(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2810, -4\/187, -2.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4439311364 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*g + 28662 = 38710 for g.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -5, -366 in descending order.\nAnswer: -5, -64, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.639692 and 0.1.\nAnswer: 0.0639692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 53 - 31 = -2*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 5*i, 0 = h - 10*i + 5*i + 5*i + 6*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31929088 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = 6*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + 4 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 192113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181420113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 177870\/48 + 8 + 4. Let l = 3723 - x. Let p = 68303\/8 - 8549. Find the common denominator of p and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2, -178104, 1, -0.2 in decreasing order.\nAnswer: 2, 1, 1\/2, -0.2, -178104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -34*w + 4. Let j be o(-2). Let l be (-4)\/8*14*1. Let p = 16 + l. What is the greatest common divisor of j and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 - 6*a + 2. Let x be c(-6). Solve 5*p = x*p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2695 and 541310?\nAnswer: 3789170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*4\/(-150)*3.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12 - 19*h - 2*h**2 + 17 - 1 + 4*h**2. Let m be a(12). Calculate the greatest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.5 (c) -0.5 (d) 450 (e) 4 (f) -587 (g) 0.05\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7329818 meters?\nAnswer: 732981.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157 + -98. What is the first derivative of -51*w - 79 + b + 132*w wrt w?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 5\/3*p**3 - 20*p - 5\/4*p**4 + 10*p**2 - 57. Find x, given that c(x) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05073 - 319.64927. Let p = 318 + o. What is the second biggest value in 5, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 224*b + 4738. Determine h(-21).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5900 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.4\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65155\/11 + -5919. Let p = -15\/2726 + 1486165\/89958. Let b = -52\/3 + p. Calculate the common denominator of b and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.6 + 1.6. Let l = y - -7. What is the nearest to l in -2\/11, -0.2, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + o = 3*o + 16, u = -3*o - 13. Suppose -5*m = -h - 1830, -5*m + 1091 = -2*m - u*h. What are the prime factors of m?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 650\/260*((-522)\/90)\/(2\/(-8)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5, z + 3*s + 2*s - 3782 = 0. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*t + 10, -5*u + 129 = 2*t. Suppose 7 - u = -4*i. Sort -1, i, -3 in ascending order.\nAnswer: -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 - h**4 - 3*h + 1 + h + 4*h + 11*h**3 in the form b*h**3 + i*h + r*h**2 + k*h**4 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.3 + -25. What is the nearest to 1 in -1\/8, g, 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 141216?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-eight sevenths of a week?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*v + 1682 - 1682 - 12*v.\nAnswer: 109*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q - q)*(3*q**3 - 3 + 3) - 6*q**2 + 12*q**4 + 9*q**2 + 17*q - 14*q**4.\nAnswer: -8*q**4 + 3*q**2 + 17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**5\/60 - k**4\/6 + 53*k**2\/2 + 247*k. Let q(h) be the first derivative of m(h). Suppose q(u) = 0. What is u?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 + 474.11. Let x = l - 479. Let k = 568\/3861 - -2\/297. Which is the second biggest value? (a) 2\/5 (b) k (c) x (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Suppose z - 486 = -5*h, -2*h - 176 = -t*h - 5*z. Let m be 1008\/(-40) - -25 - (-142)\/10. Calculate the highest common factor of h and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -13*d - 50. What is the tens digit of d*(-75)\/14 - (-27)\/63?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13554920239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(12)*-1) + sqrt(120)\/sqrt(10) - (sqrt(432) + -1)*4)**2.\nAnswer: -376*sqrt(3) + 6643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - 1)*-52 + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -132249, -131930, -131611?\n\"Answer: 319*z - 132568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0, 18, -1\/44, -54, 4, 3.\nAnswer: -54, -1\/44, 0, 3\/4, 3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, b: 12, f: 6}. What is prob of sequence fbf?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 18 = -6. Suppose -6*x + 11*x = 60. What is the highest common divisor of x and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1190400 and 80600?\nAnswer: 15475200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z - 59 - 76 = 0. Solve 3*i = -4*h - 2, -z*i - 5 = -4*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/5, -4\/69, 0.1, 2 in ascending order.\nAnswer: -4\/69, 0.1, 0.3, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -59. Let r(x) be the first derivative of -4 - q*x + 0*x**2 + 1\/3*x**3. Differentiate r(l) with respect to l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z = 6. Let r = 1 + z. Solve 2 = -2*t + r*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f + 12. Let n be w(9). Is 8 a factor of 3*1 + (-2 - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29032 - -29037. Let w be 18\/22 + 1 + -2. What is the nearest to b in 0.1, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*y - 31 + 31)*(-1 + y + 1) + 4*y**2 + 0*y**2 - 2*y**2.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -32, -43, -54, -65?\n\"Answer: -11*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135080 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 - -5) + 2 + 0. Solve 0*p - 23 = 5*t + p, d = t - 3*p + 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60262251 is divided by 1941?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386952?\nAnswer: 2, 3, 23, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32904 + 33217. Solve -8*h + o = 257 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3*r = 26, y + 12*r - 17*r = -15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5882 + -5881.9. Which is the closest to 24? (a) -12 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (5 - (-1 + 6 + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561 (base 10) in base 6?\nAnswer: -11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-404)\/3*18\/(-12) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x**2 + 3\/5*x**5 + 0*x + x**3 + 0*x**4 + 3. Find the third derivative of u(q) wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0 + 0*s - 1\/30*s**5 - 13\/24*s**4 + 19\/2*s**3 + 5*s**2. Differentiate t(l) with respect to l.\nAnswer: -4*l - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*f = -12, -3*a + f - 5 - 1 = 0. Let j = a - -3. Suppose 3*r + 2*v = 28, j = 4*v - 0*v - 20. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 + 171\/135. What is the nearest to -2 in 0.4, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/9 - 57709*p\/3 + 173128\/9 = 0. What is p?\nAnswer: -173128, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 139340719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -234?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0 + -5 - 3) + 9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 19*o**4\/4 - 49*o**3\/3 + 25. Find the third derivative of k(l) wrt l.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 25 = 5*d, 4*o + 35 = d - 9*d + 15*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**3\/3 + u + 2. Let x(i) = -2*i**2 + 3. Let b(w) = -5*f(w) + 2*x(w). Is b(5) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 + 231*r + 625. Calculate i(60).\nAnswer: 3685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 379 + 391. Let b(x) = 4*x + 5. Calculate b(s).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151586472607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 58. Let u be (21\/(-56))\/((-2)\/h). Let y(n) = n**2 - 4*n + 4. Give y(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -231.10809 and 2.\nAnswer: -462.21618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 83*r**6\/15 - 143*r**2 - 48*r - 4. Differentiate k(v) with respect to v.\nAnswer: 664*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1914, 2959, 4020, 5103, 6214?\nAnswer: 7359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 - -112. Sort 0.34, g, 1 in descending order.\nAnswer: g, 1, 0.34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 26 in decreasing order.\nAnswer: 26, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30140 times -400?\nAnswer: 12056000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-1) + (-40)\/10. Suppose 10*h - n - 80 = 0. What is the lowest common multiple of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -86 - (77 + (118 - 217))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**4\/24 - s**3\/3 + 9*s**2. Calculate d(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 67 = -53. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(((-42)\/(-18))\/((-105)\/90)). Let m = 5 + -4. Sort h, m, -87 in decreasing order.\nAnswer: m, h, -87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 909173?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - 2*w**3 + 9*w**3 - 4*w**2 - 4*w**3 + 0*w**3 as u*w**2 + t*w + v*w**3 + p and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -179*r**3*v - 54507*r**3 - 5*r**2*v + 1560*r**2 + 133*r*v wrt r?\nAnswer: -1074*v - 327042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10508 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 9:42 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2581 and 9523?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 4*v**2 - 135*v + 546. Determine o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 317 or 322?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42445253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17 + -40)\/((-34)\/2). Let p = 16\/51815 + -11972801\/11451115. Let s = p + f. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 9:05 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -195228.\nAnswer: 1\/48807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/4*-3*20\/12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -11, -223\/2, -2\/7, -29?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10060651\/72009 - 5\/10287. Suppose -5 = 4*q + 555. Let h = q - l. What is the second biggest value in 1\/3, 3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3122 or -3121?\nAnswer: -3121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119 + -56. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 70302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-236*f**2 + 184*f**2 - f**4 - f**4).\nAnswer: -2*f**4 - 52*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2*(1\/(-3))\/(6\/18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-3\/8)))\/l)**(1\/9)*(l\/(l*l**(-10))*l*l)\/((l\/l**(-17))\/l) assuming l is positive.\nAnswer: l**(-371\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -322*t - 974*t + 49248 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + ((-24)\/7)\/(-3). Let m be (2 - 1)\/(2\/2). Let j be m + (-3)\/(1 - -11). What is the nearest to j in i, 2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17081796 and 6?\nAnswer: 17081796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 470088.5 litres?\nAnswer: 470088500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1821 in -5, -21, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -93.4, 1.8, -3, 2?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -25031500?\nAnswer: 25031511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -13 - (-23 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2073225 (base 10) in base 16?\nAnswer: -1fa289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -50, -100, -234, -494, -922, -1560?\n\"Answer: -7*g**3 - g - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2900, 5853, 8780, 11669, 14508, 17285, 19988, 22605?\n\"Answer: -2*f**3 - f**2 + 2970*f - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 770 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 = -5*z, -2*z + z = 4*p - 18. What is the second derivative of -3*w + 3*w**2 + 0*w + p*w wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**5\/20 - 3*m**4\/2 - 13*m**3\/2 - 23*m**2\/2 - 18*m. Let h be d(20). Put h, 23, 4 in descending order.\nAnswer: 23, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -464642*0.35\nAnswer: -162624.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/2963764 and 53\/39342.\nAnswer: 8891292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 51 + 15 = 0. Let b = 17 + a. Suppose -5*f - o = -383, 4*f + f - 2*o - 374 = 0. Calculate the remainder when f is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 11\/5 (c) -0.5 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 3:25 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 23, -62, -5\/6, -6?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/2 + -1. Let z(j) be the first derivative of l*j**2 + 0*j - 1\/2*j**4 - 1 + 0*j**3. What is the second derivative of z(r) wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o. Suppose -w = -5*v + 394, o = -3*v - w - 38 + 268. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 387, 385, 381, 375, 367?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 0.7, 0.06 in descending order.\nAnswer: 0.7, 0.06, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193 by -38.\nAnswer: -193\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 7:32 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3 - 8872308*j**2 - 17996104*j wrt j.\nAnswer: 6*j - 17744616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 1445?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1178 and 1178 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357.627 rounded to the nearest 10?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + 2*a - 39. Give h(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252457 divided by 6.\nAnswer: -252457\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-89)\/356*(-4)\/(-3))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + 0*s + 0*s + 0*s**3 - s**3 + 0*s**3 + (2*s**2 + s**2 - 5*s**2)*(2*s + 2*s - 2*s) + 2*s**3 - 1 + 1)*(2*s**2 + 2*s**2 - 7*s**2).\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m - 5*m**2 + 11 + 1 - 10*m**2 - 6*m**3. Let h be s(-12). What is h rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -76*j*z + 109*j - z**4 wrt z?\nAnswer: -76*j - 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1016 - -1702. Suppose 25*a + w = -1014. Is -68 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/20 and 121\/14844?\nAnswer: 74220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11 - 5 = 0. Let q = -6 - c. Suppose -q*g - 2*g = -652. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 70686, 70684, 70682, 70680, 70678, 70676?\n\"Answer: -2*o + 70688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**3 - 5*z**2 - 149*z + 753. What is the remainder when j(6) is divided by 160?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 962620273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30824*h**4 + 16414*h**2 + h + 2 wrt h.\nAnswer: -739776*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 31639645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2\/17, -0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/8, 4.8, -613\/3?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u**2 + u - 9. Give c(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 60 = 16*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 716\/195 - 46\/13. Which is the biggest value? (a) 1 (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 6832 = 2*i + 6869, 5*o - 6*i = -15 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*1\/14 - (-10)\/14. Let o = 0.4 + 2.6. Let l = o + -3.4. Sort -1\/2, r, l in ascending order.\nAnswer: -1\/2, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84096 or -84094?\nAnswer: -84094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(171)*-2 - (sqrt(171) + 4*(sqrt(171) + sqrt(171) + sqrt(171)*1) - sqrt(171)))\/(3*(3*sqrt(81) - sqrt(81) - sqrt(81))).\nAnswer: -22*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5*u = 11*z + 61, 4*u - 59*z + 60*z = -17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682990647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1895 divide 1637280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 112\/3 in -2, -5, 1\/2, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1716 - -17243\/10. Find the common denominator of a and -46\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, 0.22, -6, -877.27?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (3 + -4 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302031 (base 5) in base 13?\nAnswer: 4508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - 61*j + 61. Calculate x(-32).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 97 (base 12) to base 3\nAnswer: 11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*h*n**6 + 484*h*n**4 - h*n**3 - h*n**2 - 679*h*n - 11*h + 2*n**2 wrt n.\nAnswer: -8640*h*n**3 + 11616*h*n - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2293693281 rounded to 4 decimal places?\nAnswer: -0.2294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 368. Let o(s) = s + 725. Give 7*b(w) - 3*o(w).\nAnswer: 4*w + 401","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3 - u + 0 + 0*u - 2*u. What is the units digit of y(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-15))\/(2\/9). What are the prime factors of t*2 - 3 - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*h - 7 = 0, 4*m - 4*h - 2 = 6. Solve -m*j - 16 + 19 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, u: 1, k: 2, a: 5, b: 1, l: 6}. Give prob of picking 1 u, 1 b, and 1 k.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + a - 4. Suppose -k + 22 = 10*k. Suppose -68 = -k*f - 74. Calculate r(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (6 + 3) - (-1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/22 + 0 + 1 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110100001 (base 2) in base 12?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2463 + 2463. Let y(n) = 586*n**3 - n**2 + n - 1. Let b be y(1). Suppose w = -5*r + a + b, 0*a - 15 = -3*a. Does 25 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260492 divided by 1.\nAnswer: -260492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 510123802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 33*b**2 + 46*b + 325. List the prime factors of t(-10).\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6087 rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1019, -2037, -3045, -4037, -5007, -5949?\n\"Answer: p**3 - p**2 - 1022*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -546 (c) 281 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/12 - (-108)\/(-48). Let j(b) = -3*b**2 + 6. Calculate j(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 43.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -162, -157, -148, -135?\n\"Answer: 2*h**2 - h - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -49. Calculate the remainder when 37 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 3)*6 - 0. Solve 8*x - u = 11*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1607, 7230, 16601, 29720, 46587, 67202, 91565?\n\"Answer: 1874*s**2 + s - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -41 + (0 - -7) + 4 - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.073 + -2.927. Which is the nearest to 3\/5? (a) u (b) 2\/3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80875217*o**3 - 4*o + 576040.\nAnswer: -485251302*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c - 12. Let n be -6*(26\/(-4) - -4). Suppose t + n = 2*t - a, t - 5*a = 31. Does 32 divide l(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -9*a + 2. Let v(s) = s - 7. Let d be v(9). Let w(g) = -28*g + 7. Let z(l) = d*w(l) - 7*t(l). Let f(q) = 2*q**2. Determine z(f(u)).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358, 716, 1072, 1426, 1778, 2128, 2476?\nAnswer: 2822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 4*w**2 - 15*w + 20. Let l be x(6). Let m(a) = -4 + 12 - 1 + a**3 - 9*a**l. Calculate m(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -6 + 3)*-3. Let n(x) = 3*x**p - 2*x**2 - 5*x**3 + 2*x - 3*x**3 - 1. Suppose -2*a - 2 = -4*a. Calculate n(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/3 - 17264216*k\/3 + 17264213 = 0. Calculate k.\nAnswer: 3, 17264213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189768?\nAnswer: 2, 3, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 378 = 58. Suppose 35 = 9*y - k. What is the least common multiple of 10 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1708426?\nAnswer: 2, 854213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/4 and -109\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.9382 + 0.0418. Let n = v + 0.02. Let b = n - 4.9. What is the nearest to b in 0.4, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 9*c + 15. Let x be j(-10). Put -4, x, -15 in ascending order.\nAnswer: -15, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.063 + -0.063. Which is the closest to 0.1? (a) r (b) -0.3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfjjffhjhjfjj. Give prob of sequence hff.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7402 - 2757*f**2 + 7402)*(5 + f**2 - 3 - 3*f**2).\nAnswer: 5514*f**4 - 5514*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 304 = 12*j, 4*j = -3*t + 9*j + 204. Solve 70*y = t*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 20120250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*((-5607)\/6)\/3. Suppose -5*f + 6198 = y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-2)*(-4 + (4 - 1)). Solve -3 = -3*l - h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, u: 4, f: 2, o: 4}. Give prob of sequence mooo.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 - -220 - ((-2 - -1) + -21)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 223542 and 60966?\nAnswer: 670626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6639968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:42 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.32, -0.5, 394, 1\/8, 4, -66 in decreasing order.\nAnswer: 394, 4, 1\/8, -0.32, -0.5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**29\/((l\/(l*l*l**2*l*l*l))\/l))\/(l*l**(-2\/37)*l*l*l**(-11)*l*l) assuming l is positive.\nAnswer: l**(1556\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 5*v - 5. Let k be b(-6). Suppose -8*u + 49 = 25. Let a(s) = -2*s**2 - 2*s - 2 + k + 0*s**2 - 18*s**u + 9*s**3. Calculate a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*w**3 - 4*w + 707*w**2 + 326 - 326 + 103*w**3 + 7*w to the form c*w**3 + i + m*w**2 + j*w and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 31977*t**2. Let h(p) = 1926*p. Give k(h(v)).\nAnswer: 118617914052*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*y - 3*x, 0 = 2*x + x - 6. Solve 5*r + y*r - 20 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5569.16545 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1170 and 1560.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167306.\nAnswer: 2, 83653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*d**2 + 2 - 4 + 0.\nAnswer: -301*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1107 * 40\nAnswer: -44280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 2*i - 1. Let t be p(3). Suppose -v = 2*s + 3, 3*s + 2*s - t*v = 6. Solve u - 2*u + 4*d + 7 = s, 3*d + 5 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-14*(24\/(-28))\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y**2 + 3*y - 1. Let u be q(4). Suppose 4*w + 2*w - 24 = 0. Suppose w*x - 93 - u = -2*p, -122 = -2*x - 4*p. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*g + 48679 = 1335*g + 7571 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54399026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)\/(sqrt(11)*-2))\/(-6*sqrt(32)\/sqrt(4)))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444550859 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -49343\nAnswer: -296058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26251916*t**2 - 50770612*t + 1.\nAnswer: 52503832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/159*((-243)\/(-18) - 9)\/(-3)?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4\/7, -1\/4584, 5, 3\/4 in descending order.\nAnswer: 8, 5, 3\/4, 4\/7, -1\/4584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 91097 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22197 is divided by 254?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6612*k. Let p(r) = 23*r. What is h(p(m))?\nAnswer: 152076*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-27)\/(-21) + 2\/(-7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -27\/106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/16? (a) -6\/13 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(3\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**3 + 81*h**2 - 21*h - 273. Let q be p(-27). What is the highest common factor of 224 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.056 + 29.944. Let s = -27 + q. Let f be 1*0\/(-1) - -2. Which is the second smallest value? (a) 3\/2 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/8)\/(12\/(-48)). Let x(k) be the third derivative of k**2 + 0*k + 0 + 0*k**h + 0*k**4 + 0*k**3 + 1\/60*k**6. Determine w so that x(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 13 = o - 3*s, 5*o - s + 20 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**3\/3 - 1. Let g be u(-2). Suppose g = -2*k - 6. Which is the third smallest value? (a) -1 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 30*d**3 - 4*d**2 - 4*d + 12. Let x(b) = 59*b**3 - 7*b**2 - 7*b + 20. Calculate -5*p(c) + 3*x(c).\nAnswer: 27*c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.7 + 13. Let c = 0.2 - n. Sort 2, -4, c in increasing order.\nAnswer: -4, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99210881 divided by -6853\nAnswer: 14477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**4\/24 + 7*j**3\/6 + 3*j**2. Let r be x(-6). Which is the nearest to r? (a) 2 (b) -12 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 4*o + 3 = -s, -7 = -2*s + 3*o. Let t(p) = 0*p - 9 + p - p**3 - 6*p + 2*p**3 + 5*p**s. List the prime factors of t(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6919424*z + z**3 + 6919424*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14964 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**3\/3 - 2*w**2 - 2*w + 11. Calculate z(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2795341, 5590674, 8386007, 11181340, 13976673, 16772006?\nAnswer: 19567339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -922 - -918. Which is bigger: -51\/14 or y?\nAnswer: -51\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*m - 3*m. Suppose -115 = -5*z + m*o - o, 5*z - 117 = 4*o. Calculate the remainder when 47 - 3*(-4)\/6 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 111063061 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5184*w**2 + 207 + 1731*w**2 + 1732*w**2 + 1728*w**2 to the form d*w**2 + x*w + n and give n.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.3 (b) 1\/2 (c) -3 (d) 1 (e) -3755\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 + -152.2. Round i to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155443 - 155443 - 6*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 482.3 + -406. Let l = -76 + w. Which is the nearest to 2\/9? (a) 2 (b) l (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -279*y**3 + y**2. Let n be w(-1). Let a be ((-126)\/(-336) - 349\/(-8)) + (-2 - 2). Calculate the highest common divisor of a and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 - 9*y + 4. Let s = -21724 - -21729. Let v(f) = -4*f**2 + 8*f - 3. Give s*u(x) + 6*v(x).\nAnswer: x**2 + 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15153 is divided by 275.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0 + 0)*(2*w**3 - w**4 - 2*w**3) + ((-2 + w + 2)*(-3 + 2 + 0) + 4*w - 2*w - 4*w - 2*w - 2*w + w)*(4*w**4 - 7*w**4 + 0*w**4).\nAnswer: 16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 13 - 4 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 130 = -20*t, -2*t - 71215 = d - 71190 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + 2*p + 350, p + 116 = t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -283436*451\nAnswer: -127829636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 22467*m**2 + 358821*m - 874341.\nAnswer: 3*(m - 7473)*(m - 13)*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1666098 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z. Let x(c) = -2*c - 4. Let v(q) = -1. Let h(b) = 4*v(b) - x(b). Determine h(u(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10}. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.89 - 32.69. Which is the third biggest value? (a) -0.4 (b) 2.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from nnodnkkkok?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)*2)\/sqrt(7))\/(sqrt(55)\/(sqrt(5)*1)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.839 + -0.939. Let u = -46 - -369\/8. What is the closest to s in 2\/7, -3\/8, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671720 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1930)\/(-6) - (-7 - (-115)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 606*p**2 - 1211*p + 54. What is n(2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2 - -1 - 2)*2. Put -69, 2, q in descending order.\nAnswer: 2, q, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {y: 1, p: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 90 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 1 - 1 + (0 + 2*z + 0)*(1 - 1 - 2) + 4 - z - 4 + (-1 + 2 - 3)*(7*z + z - z)*(-4 + 0 + 9) to o*z + r and give o.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79230 divided by 570.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2416650 divided by 75?\nAnswer: 32222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -787*h**7\/70 + 25*h**4\/24 + 7*h**3\/6 + 3259*h**2 + h. What is the second derivative of k(t) wrt t?\nAnswer: -28332*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 200 + -120. Suppose -3*c = -c - t. Calculate the greatest common factor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 12 = 5*l. Suppose 0 = l*b - q + 2, -4*b - 3*q - 1 - 6 = 0. What are the prime factors of b\/(2 - 15\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = 28*b + 112 + 33 + 90 - 37, 3*b = -3 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1390174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*a**3 - 5*a - 5*a**3 + 2*a to the form h*a**3 + j*a + s*a**2 + l and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjgggkjmkkgkjkg. What is prob of picking 1 g, 1 j, and 1 k?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0172 + -30.9172. Let n = -34 - w. What is n rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-471)\/(-39) + -2 + (-17)\/221.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 8:23 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597022 is divided by 203.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, b: 9, z: 4}. Give prob of picking 3 i and 1 z.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21563464 (base 7) in base 10?\nAnswer: -1864447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8709764 at most 8709765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 283272762?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 341*c**3 + 2711213*c**5 - 2711211*c**5 + c**4 - c**4 + 1187*c**2 wrt c.\nAnswer: 120*c**2 + 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -30*w - 3. Let l = -88 + 125. Calculate the remainder when j(-5) is divided by l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(274\/146 - 2) and (1\/(-2))\/(3\/(-2 - 169)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6*b - b = 47, -29 = -m + 5*b. Suppose -m*p = -14*p + 25. Let u(l) = l + 4. Determine u(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**3 + 7*w**2 - 7*w + 7. Suppose 2*l = -4, -2*c - 2*c = -3*l + 78. Let n(m) = m**3 + m**2 - m + 1. Give c*n(q) + 3*v(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 4*d - 3*x, 13*d + 650*x = 653*x + 64 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 + 42*u - 29. Let a be k(20). Suppose -5*o + 45 = q, 4 + a = 3*o. Solve 11*v + q = 15*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -0.6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 42777964501+217\nAnswer: 42777964718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6\/5 (b) -350 (c) 52 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11969, 7035, 2101, -2833, -7767, -12701?\n\"Answer: -4934*y + 16903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 - 0) - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 d when three letters picked without replacement from ddgg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -805, 4, 12, -8, -3, -2 in increasing order.\nAnswer: -805, -8, -5, -3, -2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)\/(1\/(-2)). Suppose -2*k - 3*k + 120 = 2*b, 48 = 2*k - 4*b. Suppose -5*o - 31 = 3*a, 2*o + 3*a = -k + 8. Sort o, -4, g.\nAnswer: o, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 1. Let n be k(2). Let p = -30 - -34. Suppose n = p*w - 9. Is w less than 7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-24)\/64 + (-13641)\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1113857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.91407 + -0.08593. Which is the closest to z? (a) 3\/4 (b) 0.0116 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*n**3 - 23\/2*n**2 + 60*n + 72.\nAnswer: (n - 12)**2*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52217718 and 115017.\nAnswer: 52217718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**6\/5 + f**5\/3 - 43*f**4\/24 - f**3\/3 + 4*f**2 - 83*f. What is the second derivative of k(n) wrt n?\nAnswer: -144*n + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1544 in -1, 5, -0.5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/(q\/(q*q**8)))**19 assuming q is positive.\nAnswer: q**(437\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 7:28 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g + 638 - 638.\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -379148 rounded to the nearest one thousand?\nAnswer: -379000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -113, -174, -239, -308, -381, -458?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26662\/20001 + 2\/6667. Find w, given that -8 - x*w**2 - 20\/3*w = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836.6386 millennia to decades.\nAnswer: 83663.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2460, 4942, 7426, 9912, 12400?\n\"Answer: k**2 + 2479*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32.39034 or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*v + 3*o, -4*v - 405 = -o - 423. Solve v*b + 5*g = 4 + 27, 12 = -4*b + 4*g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -634*w - 5073. Let q be n(-8). Let f be (-70)\/22 + (-2)\/(-11). Which is the smallest value? (a) q (b) -4 (c) f (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 25. Let g(f) = -f - 26. What is -2*b(j) + 3*g(j)?\nAnswer: j - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {x: 6, b: 1, f: 2, e: 4}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -74b9 (base 12) in base 6?\nAnswer: -135153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**2 + 36*f + 143. Determine l(-5).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370747713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - 2*p**5 - p**4 + (-p - 2 + 2)*(3*p**4 - 2*p**4 - 2*p**4) + 1142*p**5 + 692*p**5 - 392*p**5.\nAnswer: 1441*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.8 + 25.8. Let s = 0.3 - 0. What is the smallest value in 2, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 59. Suppose s = -2*b - 6, -d*b + s - 2*s - 11 = 0. Sort 6, b, 5, -2.\nAnswer: b, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50871.39 months in decades?\nAnswer: 423.92825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 - 30*h + 33. Determine l(-7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i**3 - 1880*i**2 + 10*i - 588. Give t(188).\nAnswer: 1292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(3\/(7 - -2)*-2). Let b = l - 15. What is the highest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 4) in base 9?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*j = -83*j + 141*j. Sort j, -2, -1, -3, 3 in ascending order.\nAnswer: -3, -2, -1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57177899446 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 3994432?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73628304 a multiple of 332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 342 - -44216\nAnswer: 44558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 189*f**4 - 5*f**2 - 870*f - 33280306?\nAnswer: 756*f**3 - 10*f - 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/534795727?\nAnswer: 2\/534795727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*u - 56 = 0. Let l be (6 - u)\/(1\/7065). Let z = l - -56597\/8. Find the common denominator of 27\/10 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -479 - -505. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*h - 5 = -u - 41*h - 254*h, -7*u - 22 = 5*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**2 + 3052*x - 240480 = 0. Calculate x.\nAnswer: -835, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 33 + 1 = 3*s, -s - 4*b + 30 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*h - 46 = 0, -25 = -3*m - 0*m + h. Let g(t) = 2*t**2 - 6*t - 45. Let i be g(m). What is the greatest common divisor of 18 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 54, -6, 0, -1\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*q - 0*q - 11, 6 = 3*q. Let f = y + 19. Let b = 1 + f. Solve b = -3*j - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*c + 20941 - 13297 = 11664 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from {w: 1, t: 3, x: 3, l: 1, q: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 58 + 805?\nAnswer: 85d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -47. Let k be (3*52\/(-24))\/(z\/12). Suppose k = 4*o - 170. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65776 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Let g be (-15)\/(-10)*1*2. Suppose 0 = -4*x - w - 4, g*x - w - w - 8 = 0. Solve b = -3*i - x*i + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*d + 9 + 1, -2*n - 2*d + 4 = 0. Suppose n = z - 3*z - 5*c + 103, -4*c - 307 = -5*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1066*k + 143. Let n(u) = 15*u + 2. Suppose 157*c - 156*c + 118 = 5*v, 5*v = -25. Determine c*n(f) + 2*b(f).\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -674, 0.2, 0 in ascending order.\nAnswer: -674, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1487337 divided by 2\nAnswer: 1487337\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1253 - 1308.1. Let g = t - -62.1. Sort g, 5, -2\/15.\nAnswer: -2\/15, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 - 60*u**2 + 7*u - 2. What is a(20)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9c - -1257?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1)*p*p**4*p*p)\/((p*p\/(p\/p**(-6)*p))\/p**1) assuming p is positive.\nAnswer: p**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 17 + -21 + (1 - (-2 - -7))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -11*r**3 + 42*r**2 + 32*r + 785. What is the hundreds digit of v(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63064 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k + 21*k - 46*k**3 - 17*k - 27*k**3 in the form m*k**2 + s*k**3 + r + z*k and give s.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45597741.4301261 - -45873381.67011. Let u = 275643.11 - k. Let j = u - 2.87. Round j to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12 - (6 + -39 + 7). Solve o + 2*o + i = 5*g, -4*g + 14 = -o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (162\/135)\/((-6)\/(-47805))?\nAnswer: 3, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*(-420)\/((-75)\/(-5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 2175.\nAnswer: 6525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) -0.3 (c) -3\/2 (d) 1 (e) 5763\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -2)*(3 + -2). Let m(d) = -d**3 - 4*d**2 + 8*d + 5. Let c be m(o). What are the prime factors of 390\/12*(-8)\/c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(80) - (sqrt(80) + -3 + sqrt(80) + -4 - sqrt(80))) + 0) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -35 and -11.69424.\nAnswer: -46.69424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -15*q**2 - 151*q + 59. Let y(r) = -6*r**2 - 52*r + 19. Determine 3*u(j) - 8*y(j).\nAnswer: 3*j**2 - 37*j + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -138, -134, -130, -126?\n\"Answer: 4*c - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.408mg in tonnes?\nAnswer: 0.000000000408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15\/5*(-704)\/(-192)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-69 + 67 - 877)*(-3*y + 0 - 1 - 2) to p + d*y and give p.\nAnswer: 2637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27747 divided by -1.\nAnswer: -27747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/16)\/((21\/(-588))\/(150\/(-35))))\/(-2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/17 (b) -4\/3 (c) -1\/4 (d) -1\/3 (e) 3 (f) -4\/177\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6329440 divided by 372320\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5412 - 5381. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 4*j + 1. Let l(p) = p**2 - 1. Let c(g) = 3*l(g) + q(g). Calculate c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 17*c - 8624. Calculate the remainder when c is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5021964673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2928551.\nAnswer: 1301, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v + 6. Let q be f(-5). Let l = -1 - q. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y = 27*y - 1290. Let n = 224 + y. Is n not equal to 94\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10401762.\nAnswer: 2, 3, 7, 167, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73989 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81655.83 + 81614.55247. Let k = t - -41.17852836. Let r = 0.099 + k. Round r to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4 - 3432*f**3 + 40752*f**2 = 0. What is f?\nAnswer: 0, 12, 1132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 32*z + 31*z + 13, -5*o - 116 = -12*z + 34 - 28 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 6, h: 1, b: 8, p: 1, q: 4}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 + -31. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -57*d**2 + 3*d + 2. Determine x(-1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/(38\/(-1437483)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 5, 12, -336, 1 in decreasing order.\nAnswer: 12, 5, 3, 1, -2, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 8136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8\/7)\/((p**(-8\/3)\/p)\/p))\/(p*p\/p**(1\/13))**(-4\/23) assuming p is positive.\nAnswer: p**(24226\/6279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39414 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794400 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (0 - -22*((-2035)\/(-4440))\/(4\/6))?\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**3*d)**(-12)*d*d**20\/d*d*d**(-18))**(-39) assuming d is positive.\nAnswer: d**2223","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 597959, 597960, 597961?\n\"Answer: d + 597958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*g + g, -n - 4*g = 16. Suppose -1382 = -n*b + 202. Let o be (-24 - -23)\/(-2 + (-142)\/(-72)). Calculate the greatest common factor of o and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1331)*-4 + -3*sqrt(99)*-4)**2.\nAnswer: 70400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*k - 40. Suppose -4*r + k - 28 = 0. Put -4, r, 16, -2 in descending order.\nAnswer: 16, -2, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -734*f + 506.\nAnswer: -734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:22 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + -1 + -3 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 83d?\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*x + 19, -3*k = -5*x + 40 - 12. Calculate the highest common divisor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6938, 7013, 7088?\n\"Answer: 75*z + 6863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4970671, -9941337, -14911989, -19882621, -24853227, -29823801, -34794337, -39764829?\nAnswer: -44735271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 24.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4 - 648*b**3 + 34344*b**2 - 241984*b - 9010560 = 0.\nAnswer: -12, 38, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169187, -338372, -507557, -676742?\nAnswer: -845927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Let w(t) = t**2 - 7*t - 7. Let c be w(8). Let u = n - c. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -220?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/4 - 287*r**2\/4 + 3693*r\/2 + 6192 = 0. What is r?\nAnswer: -3, 32, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 12. What are the prime factors of o(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*q = 3*h + 26, 25 = 5*h + 2*q. Solve -5*u - h*m = -4*m - 4, 3*m = 5*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 8. Let l(q) = 5 - 1 + 1 + q - p. What are the prime factors of l(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -7 - (-26)\/65)*25. Let l = q + 144. Solve -3*k = 3*u - 4*u + l, -4*k - 5*u + 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 209?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 5:08 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 10480*z**2 + 10476*z.\nAnswer: 4*z*(z - 2619)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**(2\/13))*y))\/y*y*y)\/(y**(-34)\/y) assuming y is positive.\nAnswer: y**(466\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -70338, -70288, -70188, -70014, -69742, -69348?\n\"Answer: 4*a**3 + a**2 + 19*a - 70362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109326, 219292, 329258, 439224, 549190, 659156?\nAnswer: 769122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 565\/6 or 13?\nAnswer: 565\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (18 - 9 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 822 and 769118?\nAnswer: 2307354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1315 - 5403. Let k = v - -4267.1. Round k to the nearest integer.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (5 + -6)) + 1 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6778929 hours?\nAnswer: 2440414.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 9:34 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/84*(6 + 1). Solve -l*t + 21 = 3*q, 0 = 2*q + q - 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -362726, -362727, -362728, -362729, -362730, -362731?\n\"Answer: -c - 362725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -755 - -12269. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4 - 25954*v + 4 - 19*v**2 + 25958*v. Let g(n) = -9*n. Calculate y(g(u)).\nAnswer: -1539*u**2 - 36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130758 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**2 + 2. Let a(i) = -i + 1 + 16 - 1 - 9 - 3*i**2 - 13*i**2. Determine 2*a(n) - 7*c(n).\nAnswer: 3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - t - 2. Let x(z) = 20*z**3 + z**2 - 8*z - 19. Let q(k) = 7*k**3 - 3*k - 6. Let l(r) = 17*q(r) - 6*x(r). Let u be l(-5). Calculate c(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3473 and -0.03?\nAnswer: 0.040419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r - 1913 = -5*a, r = 4*a + 615. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, -29\/4 in decreasing order.\nAnswer: -0.4, -2, -29\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/15 in 4, -3, -8, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -2.\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1627729*l**3 - 1193266*l?\nAnswer: -9766374*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 2398691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 1 = 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3740.929956 rounded to 0 dps?\nAnswer: 3741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 71870\nAnswer: -35935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 147 + -125. Let x(k) = 21*k**5 + 9*k**4 + 29*k**3 - 32*k**2 + 23*k - 6. Let o(f) = -2*f**5 - f**4 - f**3. Let p(s) = n*o(s) + 2*x(s). Solve p(g) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttootttottttt. What is prob of sequence ttoo?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -54 - 9. Let x = a - -23. Solve -x = 2*v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r - 14*r - 9*r + 33*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31520183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 r when three letters picked without replacement from {r: 4, z: 1, g: 8, l: 1, d: 1, b: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -524 < -524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*i + 12, -17*t + 19*t + i = 32. Solve -t*q - 46 = -18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292975271.\nAnswer: 2663, 110017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.736 - 0.236. Which is the third biggest value? (a) 0.013 (b) h (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -427, -1655, -3687, -6523, -10163, -14607, -19855?\n\"Answer: -402*y**2 - 22*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 31*u**2 - 5*u**2 in the form r*u + f*u**2 + m and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2768227*q**3*v - 474*q**3 - 3*q + 315 with respect to v.\nAnswer: -2768227*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -149*k**2 + 25*k - 15. Let w(g) = 74*g**2 - 13*g + 7. Let y(j) = -3*n(j) - 5*w(j). What is the thousands digit of y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d - 44 + 145 - 47 - d - 51 - 19*d**2. Calculate y(2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 24*y - 68. Let q be s(-14). Calculate the highest common factor of q and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**12\/j)\/(j\/((j*j**(-1\/19))\/j)) assuming j is positive.\nAnswer: j**(208\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(57)\/(sqrt(3) - -2*sqrt(24)\/sqrt(8)) + (2*sqrt(475) + 3)**2 + -1.\nAnswer: 181*sqrt(19)\/3 + 1906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/((60\/(-34) - -2)\/(-2)). Calculate the common denominator of -41\/6 and ((-78)\/(-7))\/((-765)\/p).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1527999\/2 - 6\/84*-7. Suppose -c = 5*y - 5*a, y - 152800 = 2*y - 5*a. Round y to the nearest 1000.\nAnswer: -153000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311477797 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574 = -3*t + 233. Suppose 15 = a - 0. Calculate the remainder when t is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7071 at least 21217\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25479080 rounded to the nearest ten thousand?\nAnswer: 25480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 786*q. Let t(v) = 86*v**2 + 90*v**2 - 257*v**2 + 84*v**2. Determine t(u(c)).\nAnswer: 1853388*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.092 (b) 1\/5 (c) 4\/5 (d) -4.4 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1122, 2329, 3634, 5049, 6586, 8257, 10074?\n\"Answer: 2*t**3 + 37*t**2 + 1082*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 42. Let n = v - 25.9. What is n rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 5. Let x be f(5). Suppose 2*v + x*g = 4, v - 5 = g - 3. Let q(o) = -118*o + 2141. Let c be q(18). Solve -u + v*l = 8, c = -5*u + 4*l - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*q, -n + 24 = 4*n + 2*q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -530491, -1060840, -1591189, -2121538?\n\"Answer: -530349*q - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -88. Suppose -2*a + 4 = -2*g, 8 = -g + 3*a - 2. Suppose -m + 9 = g*m. Sort m, y, -2.\nAnswer: -2, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*v - 16 = 0. Let t = v - -24. Calculate the lowest common multiple of 14 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 12*u**2 + 5*u - 22. Determine q(5).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgkkkgkkkkk. Give prob of sequence kggk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59057 and 413399.\nAnswer: 413399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, -9\/10 in decreasing order.\nAnswer: 3, 0.4, -9\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2156330 (base 7) to base 15\nAnswer: 53dab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from vvvvvvvsvvvvivvv?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(84\/70)\/3.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -247 - -224. Let t(f) = 3*f**2 + 53*f + 75. Is t(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9*y + 1. Let s = -8 - -11. Let g(l) = 5*l + 1. Let h(n) = -n**2 + n - 5. Let i be h(0). Give i*g(d) + s*u(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zddd when four letters picked without replacement from ddddzdddzzddzzddddd?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 11:42 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 412*p**4 + 2*p**2 + 4*p - 308.\nAnswer: 4944*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Suppose -j - 1 - 3 = 0. Let l = -1010 - -1008. What is the closest to m in j, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 4. Suppose b - 2 = -0*b. Suppose 3*h = b*h + 4. Let w(x) be the second derivative of -x**3\/6 + 3*x**2\/2 + x. Give h*w(g) - 3*i(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 609830 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-6 - -12) + -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -100700.03684 to the nearest one hundred.\nAnswer: -100700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1937038850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 19090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -4*o - 3, 5*o - 5*w + 21 = 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 916215048 to the power of 1\/3, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4171587 years to months.\nAnswer: 5.0059044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 306 = -278 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*i**3 - 11*i**3 - 8*i**2 - 460*i + 8*i**2 to the form y*i + g*i**3 + t + f*i**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 137*d**2 - 78*d**2 - 56*d**2. Let r(f) = 387*f**2. Give g(r(i)).\nAnswer: 449307*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 14 + 7. Suppose -2*w - 13 = -q*w + 3*u, 3*u + 5 = w. Suppose w*j - 128 = 26. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*n = -1314 + 307 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:51 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55.35 and 4.\nAnswer: 221.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1291*d**4 + 38*d**3 + 2*d**2 + 6294*d. Let c(u) = -u**4 - 13*u**3 - u**2. Let q(k) = 3*c(k) + x(k). What is the second derivative of q(g) wrt g?\nAnswer: -15528*g**2 - 6*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8667.54904 + -0.74904. Round i to the nearest 100.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 - 127. Suppose -8*i + 4*l = -12*i, f*i + 14 = 3*l. What is the second biggest value in 4, i, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(179656*h**2 - 179656*h**2 - 326*h**4) to x*h**2 + c + o*h**3 + s*h**4 + n*h and give s.\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1.8, -3, -1.4, -6\/17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 3)*(1 - 2 + 2) + (-10 + 6 + 1)*(1 - 1 + 1))*(7*k - 5 + 5).\nAnswer: -35*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90925?\nAnswer: 5, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61.11788 - -0.08788. Round n to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*a + 22, 0 = -2*g - 0*a - 2*a - 14. What is the tens digit of ((-42)\/4)\/(g\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-630)*-5 - ((-12)\/(-21) + -1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3598 is divided by 824?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1824 and 1056?\nAnswer: 20064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 + -59. Let o = 33 - p. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15752*b**2*s**4 - 2*b**2*s**2 - 36*b**2 + 5829*b wrt s.\nAnswer: 63008*b**2*s**3 - 4*b**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -21 + (-5)\/((-15)\/9). Let z(t) = -t - 13. Let a be z(w). Solve 8*d + a = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzu when three letters picked without replacement from {j: 7, u: 4, z: 2, k: 1, v: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 2:34 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1824 = -16093*b + 16131*b for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0567144 and 0.03.\nAnswer: -0.0267144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 2 = -5*q + 5*l, 0 = 3*q - l - 20. Suppose 0 = 2*m + q*m. Suppose m*a - 39 = -a. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/45*-5 - (-1 + 3). Suppose 12*y - 3365 + 353 = b. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 102*s - 408. Let f be c(4). Solve 10*n - 7*n + 2*j - 23 = f, -4*n + j = -16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 11*r**2 + 13*r + 15. Calculate p(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 18 = -62. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010000010010000101 (base 2) to base 9\nAnswer: 1100605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 + 114. Calculate the remainder when w is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 18*s**2 + 2*s**4 + 92*s**3 - 60*s**3 + 2*s - 35*s**3 to the form w*s + a*s**4 + l*s**2 + d*s**3 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 + -0.2. Let q = 29 + -18. Let x = q + -10.9. What is the closest to -0.2 in -0.4, x, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/152 - (-8 + 8))*(59584\/(-14))\/(-152)\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * 106\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(117) - -2*sqrt(117))**2 + sqrt(117)) + 3 + -2*sqrt(117))*1 + 4.\nAnswer: -3*sqrt(13) + 1060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 9:02 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 308*m**3*t**3 - m*t**2 + 8*m + t**3 wrt m?\nAnswer: 1848*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 252*q**2 - 22683*q + 260. Calculate i(90).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + (-17 - -4) + (0 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183.781 - -184. Round n to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758268067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 3:15 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7967 is divided by 249.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 14\/885, 3\/5, 274?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -783 or -782?\nAnswer: -783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 2*f**2 - 5*f**2)*(1 - f - 1) + (3*f**2 + 25*f**2 - 6*f**2)*(-2*f + 0*f + 3*f).\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j - 26. Let t(a) = a + 5. Let s(v) = 2*k(v) + 11*t(v). Let h(w) = w - 3. Determine 2*h(x) + 3*s(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -5. Let b = -0.03 - -4.03. Suppose 0*u + 4 = -4*u. What is the third smallest value in b, u, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - (sqrt(11)*2)**2)*-5 - ((sqrt(99) + 0 - sqrt(99)) + sqrt(99))) + 2)*4.\nAnswer: -32*sqrt(11) + 888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.73 rounded to 1 decimal place?\nAnswer: 22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u + 3*u)*(-54 + 106*u**3 + 54) + u**4 + 0 + 0.\nAnswer: 319*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 2. What is w(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 1. Let x(n) = n**2 + 4*n + 4. Let m(y) = 3*h(y) + x(y). Let d be m(-2). Solve d*f + 4*l + 1 = 6, 0 = 2*f + l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 90 - 42 = 0. Let f = j - 112. Solve 0*p - 5*p = -f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/3)\/((-8)\/16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**3 - t**2 - 26*t - 25. Calculate p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.054 + 4.054. Which is the nearest to 1? (a) -0.1 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66582.9997 + -66576. Let i = -9.7 - -2.7. Let u = i + n. Round u to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t = 21. Let l be 6*t\/(28\/24). Let a be (l\/(-21))\/(2\/(-7)). Solve -a*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294387 - 242557 = 730*j for j.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2325053 (base 7) to base 9\nAnswer: 484828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2524 is divided by 1233.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 52272*d + 0*d**2 - 26135*d - 26137*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2. Let l(z) = 12*z**2 - 70*z**2 + 6 - 12 + 5. Give k(l(v)).\nAnswer: -6728*v**4 - 232*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38868855*f**2 + 28977096*f wrt f?\nAnswer: 77737710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534331 is divided by 859.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 559782710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50668\/(-74568) + 10*1\/12.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -4*g + 11, 5*m + 201 = -g + 200 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -4*f, 0 = -0*f - 5*f + 3*p + 22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -23*z + 134. Give n(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*k - 3*s, -4*s + 2*s = 5*k - 16. Suppose 0*g = k*g - 24. Suppose -z - 1 = -g. Solve 0 = z*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149*44581\nAnswer: 6642569","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/327 and 59\/2568252.\nAnswer: 279939468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*q - 120 = -6*y, -y + 18 = -5*q. Suppose -2*k = -5 - y. Suppose -2*x + k = -8. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 11*x = 50 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/42)\/(54\/(-378))*72\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -24*t**2 + 3*t - 6. Let y(q) = 25*q**2 - 3*q + 7. Let b(c) = -5*r(c) - 4*y(c). Is b(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93312081 to the nearest integer?\nAnswer: 9660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -515 (base 8) in base 15?\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -13023443?\nAnswer: -13024002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 - 257*t**4 - 45*t**2 + 773*t**4 - 261*t**4 + t - 257*t**4 + 0*t**3 + 1 to z*t**3 + p*t + q*t**4 + c*t**2 + i and give c.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.21 and -64020403.\nAnswer: -64020403.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 7*w - 54 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (7 + -3)) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 12. Let b(i) = -23*i + 4. Let m(c) = c - 1. Let d(u) = -b(u) - 6*m(u). Calculate the remainder when 74 is divided by d(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:01 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 + 0*q**5 - q**5 + (q**4 + 3*q**4 - 3*q**4)*(-q + 5*q - 2*q) + 11*q**5 + 1108*q**2 - 1108*q**2 + q**4 - q**4 + 3*q**5.\nAnswer: 14*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 288, -6.02?\nAnswer: -6.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4046*d**2 + 13441 wrt d.\nAnswer: -8092*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q**5\/5 - 43*q**4\/5 - 81*q**3\/5 + 118*q**2\/5 - 8*q\/5 = 0.\nAnswer: -2, 0, 1\/14, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32595372 and 43956?\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 + 282 + -256 - (2 - -16 - 2).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2459 (base 11) to base 3.\nAnswer: 11101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.01784ng in tonnes?\nAnswer: 0.00000000000000801784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2690 + b1?\nAnswer: -25ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1021 + 259. Is j a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.7 - 16. Let b = x - 0.34. Let l = b + -0.3599962. Round l to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 89. Suppose 4*z - 565 = -4*q + 571, f = 5*z + 4*q - 1415. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x + 349 = 18*x - 2319 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 + (-418 - -348) + (-1 - 15)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + -1) + sqrt(17) - (sqrt(68) + -1*sqrt(68))**2.\nAnswer: -4*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h**5 + 2*h**3*p + 89*h**2*p - 3*h**2*q - 29*h*p + 2*h*q + 3*p - q + 4 wrt h.\nAnswer: 80*h**3 + 12*h*p + 178*p - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-72)\/84*(5\/(-2) - 1). Solve -2*j - 5 = 5*w + 3*j, g*w + 9 = 3*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times -13.4?\nAnswer: -2.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 2. Let n be u(-2). Which is the biggest value? (a) -4 (b) 2\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/17 - 8199232*d\/17 + 8403425673728\/17 = 0. Calculate d.\nAnswer: 2049808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-12) + (-1)\/(-2)*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 51146.6\nAnswer: -51144.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i**3 + 2*i - 2. Let r be j(2). Let a = r - -48. Suppose -24 - a = -h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-82)\/(-4)*(-436)\/(-4360). Which is smaller: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g + 48 = 0. Suppose 0 = -g*y - 6*y + 81846. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 3, u: 4, w: 2}. What is prob of picking 2 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 108857, 217639, 326421, 435203?\n\"Answer: 108782*s + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -11\/3 (b) -0.4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 2. What is the smallest common multiple of 11 and c(-7)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 33*p**2 + 3*p**2 + 9*p**2 + 10*p**2.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*n**5 - 678*n**4 + 1912*n**3 + 800*n**2 - 8448*n + 7648 = 0. What is n?\nAnswer: -2, 2, 239\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 2 - (0 + (-2 - -7)). What is the units digit of 105\/z*2*1\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12385897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8304384 + 0.83. What is k rounded to 5 decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7545503 divided by 503?\nAnswer: -15001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-5125)\/(-910) + 75\/350\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - 1 + 1)*(0 - 2*a**3 + 0)*(-9 + 19 - 2) to b*a**3 + m + p*a + h*a**2 + j*a**4 and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/11, 5, 3\/5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (720 + 33 + 228 - 125)*(3*u**3 - u**3 - 3*u**3) to the form w*u**2 + s + v*u + q*u**3 and give q.\nAnswer: -856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 15. Let g be j(7). Let p(f) be the third derivative of 0 - f**2 + 0*f + 0*f**3 + 1\/24*f**4 + 1\/120*f**g + 1\/30*f**5. Find x such that p(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a millisecond in microseconds?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a**3 - 6*a**3 + 55*a**2 - 5 + 14 - 10 - 4 in the form i*a**3 + l*a**2 + k*a + p and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w + 1. Let g = -3 - -8. Let l be s(g). Let c = l + -15. Solve -a = 3*a + 5*h + c, a - 2 = -3*h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + sqrt(72)*-1*6)\/(sqrt(48)*4))\/(3*sqrt(6)\/sqrt(3)*2*-3).\nAnswer: 5*sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 74*b + 4103. Give c(-111).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 500477 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r - 1148 = -18*r + 10*r. Solve -5*p + 0*q + 3*q = 8, 0 = 4*p + 3*q + r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-152)\/(-32) + (-1)\/(-4). Suppose 0 = -6*f + f - 3*y - k, -f = 2*y + 1. Is 18 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -3 + 0*a + 5\/2*a**2 + 7\/24*a**4 - 7\/6*a**3. Let u(j) be the second derivative of k(j). Differentiate u(l) wrt l.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from mmmmmmopmmkmm.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4\/3, 0.003, -1\/5.\nAnswer: -4\/3, -1, -1\/5, 0.003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a - 16. Suppose -3*d + 8*d = 20, 0 = -a*m - 3*d - 24. List the prime factors of (15\/(-10))\/(m\/228).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 4*t)*(2*t**3 - t + 17*t - 3*t) - t**4 + 3*t**4 - 5*t**4 + (3*t**3 - 4*t**3 + 0*t**3)*(-3*t + 6*t - 2*t).\nAnswer: 4*t**4 + 52*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:09 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -4 + 16 + (-42 - -34). Let k(r) = r - 7. Let w be k(4). Sort q, 3, w.\nAnswer: w, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.22 - 0.7.\nAnswer: 6.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + x = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 237*a**3 - 2049*a**2 - 3375*a - 1566.\nAnswer: 3*(a - 87)*(a + 1)**2*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3658 and 1550.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4298782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 967934 - 960241 = -157*a for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 10908513.\nAnswer: 1\/10908513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 55716651 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 315473 + 220658. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-4)*(-8)\/10. Let v be (p - 1)*-2 + 336002. Suppose -2*m - v = -6*m. What is m rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -12, -3*x = -17*n + 22*n + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-52)\/(-5) - 2\/5. Suppose -4*p - 2*b = -n, -5*b + 4 + 21 = -3*p. Suppose p = u - 5*u + 64. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-108)\/30)\/(3\/10). Let j = k - -13. Let a(y) = 21*y**3 + 2*y**2 - y. Does 4 divide a(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.07023 minus 0.5?\nAnswer: 11.57023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 652*d**2 + 2. Let g(u) = 325*u**2 + 1. Give 5*g(n) - 3*x(n).\nAnswer: -331*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120452, 120449, 120448, 120449, 120452, 120457, 120464?\nAnswer: 120473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1545*n + 8. Let g(s) = -1545*s + 6. Let y(p) = 5*g(p) - 4*j(p). Is y(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.175198079 to 3 dps.\nAnswer: 4.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -126*s**2 - 1126*s + 8. Calculate i(-9).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 1. What are the prime factors of t(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452440 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55836 and 2658884?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.016 (c) -2.624\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -18, -0.2, 3, -4, 114\/17 in descending order.\nAnswer: 114\/17, 3, -0.2, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**5\/210 - t**4\/84 - 2*t**2 + 11*t. Let v(q) be the first derivative of l(q). Let v(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) 0.5 (b) 12\/11 (c) 25 (d) 0 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33832635.43 rounded to the nearest 100000?\nAnswer: -33800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 15) to base 13\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2. Let y(o) = -7*o + 2*o - o. Give y(f(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -51 + (22 - (-29 - -72 - 19))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12058, -24106, -36136, -48136, -60094, -71998, -83836?\nAnswer: -95596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -44\/65269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -95, -2\/5, -0.2, 0 in ascending order.\nAnswer: -95, -2\/5, -0.2, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395196915.\nAnswer: 3, 5, 47, 97, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -8*z + 12. What is the least common multiple of z and 3\/(-9) - 67\/(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - 4 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1181*x + 1219*x - 2356*x.\nAnswer: 44*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -7 + 15 + (4 + -2 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r**(-16)\/r)\/r*r\/(r*r**(-16)\/r))\/(r**(-8)*r*r\/r**(-13)))**(-3\/14) assuming r is positive.\nAnswer: r**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9720359 is divided by 130.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.0806, 1970, 5, -2\/3?\nAnswer: -0.0806","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -653*p**6\/2 + 1547*p**2\/2 - 2259. What is the second derivative of d(h) wrt h?\nAnswer: -39180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*y + 5 - 10 + 16*y - 35*y to c*y + t and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**5\/30 + w**2. Let l(u) = 4*u**2 + 13*u - 13*u - 3. Let r(k) = 3*k**2 - 2. Let t(x) = 2*l(x) - 3*r(x). Give q(t(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -309, 5, -11, 0, 403.\nAnswer: -309, -11, 0, 5, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100.9 - 101. Is h greater than -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b + 36. Let l(u) = -u + 12. Let y(p) = -17*l(p) + 6*x(p). Suppose 0*w = w - 8. Let c be y(w). Solve 2*f + 15 = 5*h - f, f = c*h - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 5, -0.5, 0.1 in decreasing order.\nAnswer: 58, 5, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -82*x + 1 - 2 + 0 + 0. Let z be i(-1). Let v = -50 + z. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -8. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 4:30 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gguluuuuuuuuglulgulu. Give prob of sequence glgg.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -52, 0.081, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/27))**(-42\/5) assuming p is positive.\nAnswer: p**(28\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7 - 8.3. Let f = 4 + s. Which is the smallest value? (a) -1 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h**3 - 2*h**2 + 2. Give j(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/260155 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 2*z**6\/75 - 31*z**5\/50 + 11*z**4\/2 - 65*z**3\/3 + 25*z**2 - 8*z - 3. Factor h(n).\nAnswer: 2*(n - 5)**3*(2*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.5, -0.3, -3268, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3881 - 4054 = 219*v + 10339 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from hhqhqqqhqhhqhq?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 18 + 21)*(-33*s + 6 - 22*s + 57*s) in the form g*s + y and give y.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-3)\/(-6)*-2. Suppose -s - 2 + 3 = j. What is the remainder when 2 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 4*h**2 + 12*h + 3. Let t be x(6). Suppose -3*i + 5*k - 43 = 0, 2*i - k - t*k = -32. Let j(n) = -n**3 - 7*n**2 - 4*n + 7. What is j(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 167 (b) 3 (c) 10 (d) -2\/23 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 15. Let w = v - -15. What is the nearest to -1 in 1\/10, 2\/13, w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811913914 a multiple of 1354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10))**(-1\/53) assuming g is positive.\nAnswer: g**(10\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 12*a + 934. Let b be i(-36). What is the highest common factor of 3234 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62994 is divided by 137?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.61 - -65.582. What is z rounded to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 + 93. Solve -w*n - 4*l + 2 + 0 = 0, 0 = 4*n - l + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/15 - 2668*x**2 + 66760022*x\/5 - 800480072\/15 = 0. What is x?\nAnswer: 4, 10003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/45073204 and -73\/8195128?\nAnswer: 90146408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 1. Let w(j) = -2*j**2 + 4*j + 10. Let o(d) = -w(d) + 2*z(d). Solve o(c) = 0 for c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 353 + 538. Is s a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (84\/6468)\/((-2)\/(-28)) + (-40)\/(-22). Factor -6\/5 + q**v + 2\/5*q**3 - 1\/5*q.\nAnswer: (q - 1)*(q + 2)*(2*q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a + 2. Let s be a\/(-2)*1\/2. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = -x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 3*o + 2. Let m be i(2). Let r = -7 - -11. Suppose 0 = -p - 3*c + 20, 3*p - 5 = -2*c + r*c. Solve 4*k + m = p*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-10) - 4\/(-10). Let i be (4 - (3 + j))*1. Let c = 11 + -6. Solve -c = -i*y + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4847528 equal to -4847528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + -12.52. Let z = -22 - m. What is z rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44356198700 rounded to the nearest 1000000?\nAnswer: 44356000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 283590740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78629250 divided by -66075.\nAnswer: -1190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953376?\nAnswer: 2, 3, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b84 (base 15) to base 12.\nAnswer: -1607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 4. Let s be -2 + (-6)\/v - -1. Let c(b) = b**3 + 3*b**2 - b + 4. Let n be c(-3). What is the greatest common factor of s and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77060?\nAnswer: 2, 5, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3459061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000030560612 rounded to seven dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b6317 - -a?\nAnswer: b6324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6462593268 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, p: 3, v: 8, h: 1, n: 3, e: 1}. What is prob of sequence hu?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, 4, -3 in ascending order.\nAnswer: -8, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 2 - (8 + -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2 - 493660*y + 30462524450 = 0.\nAnswer: 123415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 9, 4*w - 3*p = 2 + 1. What is the derivative of 8*h**w - 6*h + 8 + 23 - 6*h**3 wrt h?\nAnswer: 6*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1223427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-54)\/(-9) + (-8)\/2 + 2. Suppose z*b = -3*b - 308. Let u = b - -93. What is the remainder when 95 is divided by u?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 9753711.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.235 to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*m + 7 - 29, m = -3*o - 10. Let t be ((-3)\/2)\/(2\/o). Let h be (-76)\/(-28) + 4\/14. Is t less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 83. Suppose d*p - 563 = r + 4*r, 2*p + r = 358. What are the prime factors of p?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5136 + 5137. What is the closest to 0 in -334, 7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 4*h**2 - h - 1. Let y be v(3). Let q(f) = 2*f**2 + 14*f + 10. Let i be q(-6). Sort -4, i, y.\nAnswer: -4, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/64899 and -35\/86532.\nAnswer: 259596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + 57.2. Let w = b - -27. Let v = -4 + w. What is the third smallest value in -2, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(1\/9*-3). Let m = -30 + 75. What is the highest common divisor of i and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553 = 3*w + 3*j + 610, 0 = w - j + 17 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 54848 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 1. Let g(u) = -4*u + 2. Suppose 4*l - l = 3. Let o(b) = l*g(b) + 5*v(b). Give o(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (8 - (0 - -4) - (-10 + 6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3976927 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*y + 22 = 0, -2*g + 183*y + 14 = 185*y for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, t: 3}. Give prob of picking 3 v and 1 t.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j - 79*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/((-4)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 23 - 23 - 2*i + 0*i. Let j be v(-2). Let n(q) = 6 + 55*q**2 - 112*q**2 + 4*q + 56*q**2. Give n(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24089? (a) -15 (b) -2\/13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 202 - -153. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l = 80*l + 504 - 36 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 7) + 3 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 24*m**2 - 48*m + 85. Calculate h(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvpvvvbgpg. Give prob of sequence pvpg.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 5*j - 2 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 - ((-15 - -21) + -1 + -20).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-4)\/z*z))**(41\/5)\/(z**4*z*z**(9\/4)\/z) assuming z is positive.\nAnswer: z**(531\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 - 3*o**4 + 2*o**4 - 3*o**4 + 4*o**4 - 3*o**4 - 3*o**4 + 5*o**4 - 3*o**4 + (-4 + 5 - 3)*(-1 + 1 - o**4) + 2*o**4 + 73*o - 73*o.\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*t**2*v**2*y + 13*t**2*v**2 - 563*t**2*y wrt v.\nAnswer: 38*t**2*v*y + 26*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-9)*3\/(-6))\/(21\/15)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -13*i + 1. Let r(p) = 24*p - 2. Calculate 7*h(c) + 4*r(c).\nAnswer: 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (6\/42)\/((-1)\/(-7)). Suppose -i*k + 1104 = 240. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1861953730 and 0.1.\nAnswer: -186195373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18241 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -58 - 190*h + 99*h + 95*h + 142. Let c be w(20). Calculate the highest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12402\/299131 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12)\/((90\/16)\/5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 290*r**2 + 38485*r - 11311. Give x(-133).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4740 and 1071556.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: -898 divided by 5792\nAnswer: -449\/2896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-6*sqrt(396) - sqrt(396) - sqrt(396)))**2.\nAnswer: 96*sqrt(11) + 25345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -137043, -137040, -137035, -137028?\n\"Answer: m**2 - 137044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*r - 2 = -115*r, 3*s = -7*r - 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60790000 rounded to the nearest one million?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 202284 * 5\nAnswer: 1011420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2151 * -97.82\nAnswer: 21.041082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6062)\/(-1732)*(-24)\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 63973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1475096 and -1475172 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/11 + 420286*m\/11 + 21009300\/11.\nAnswer: 2*(m + 50)*(m + 210093)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*n - 69*n - 1194 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2440970876 and 1891?\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 - (-19 - -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 12 (c) -2\/5 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(2\/5)\/j*j)\/j*j*j*j*(j**(2\/5)*j)\/j*j*j)**(-32) assuming j is positive.\nAnswer: j**(-1248\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 397669 and 45948.\nAnswer: 33404196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*z**2 + 4 + 28*z**2 - 24*z**2 with respect to z.\nAnswer: 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1201940007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 1:30 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 17*a + 565 = 12*a, 4*v - 710 = -2*a. What is the greatest common factor of 54 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/9639 and 59\/1440.\nAnswer: 1542240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, 15, 109, 241?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p - p**2 + 6*p - 11 - 14*p. Suppose 5*o = -0*o - 60. Is c(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**4 - o**4 + 7*o**4 + (0*o**4 + 0*o**4 - 8*o**4)*(2 - 4 + 3) in the form c*o + k + v*o**4 + r*o**3 + u*o**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9890573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 337*o - 7396. What is n(-21)?\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/21 - 13\/357. Suppose -2*w + 1 - 6 = 5*k, -2*w = 10. Is o at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(605) + 0) - -3*sqrt(605)*-1)**2*-5.\nAnswer: -193600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i - 9*i - 40*i**2 + (3 + 1 - 2 + (2 + 0 - 3)*(1 - 2 - 1))*(-1665*i + 1665*i + 76*i**2) as c*i**2 + b + s*i and give c.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 + 2*s - 2. What is the remainder when 14 is divided by l(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1 = 3. Suppose -27 = -3*w - z - 2*z, 4*z = 4*w + 4. Let h = -1 + w. Is h not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1026*q**3 - 7*q**2 - 3185*q + 3?\nAnswer: 6156*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/19 + 8416*t\/19 + 100704\/19.\nAnswer: 2*(t + 12)*(t + 4196)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5\/3 - 66032*k**4\/3 + 726728*k**3\/3 - 1783952*k**2\/3 + 1651868*k\/3 - 528608\/3 = 0.\nAnswer: -16519, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**2 - 9361585 + 9361585.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1996?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1701\/(-40824)*4*38.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7619067 by -1.\nAnswer: -7619067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -360, -732, -1250, -1914, -2724, -3680?\nAnswer: -4782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 238626996 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 1221725?\nAnswer: -1221732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 w when four letters picked without replacement from {y: 2, p: 7, u: 8, w: 3}?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 862.3 (c) 1\/24 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-1*-2*1)\/(-1*sqrt(30)\/sqrt(5)*4).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 39 (c) 64\/7 (d) -1 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 101, 261, 495?\n\"Answer: 37*m**2 - 25*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*(-4)\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -15. Let v be 13\/(-91) + 30\/p. Let g be 2\/8*-2*-10. Calculate the greatest common divisor of v and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 32. Let c be q(-14). Let z = -6 - c. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w**3 + w**3 + w**3)*(-3 - 1 + 3) - 2*w**2 + 3*w**3 + 2*w**2)*(2 + w**2 - 2).\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 1330.\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + -10 + -1 + 1 + 5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, -16, 18, 92, 218?\n\"Answer: 2*g**3 + 2*g**2 - 14*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2877, -459.\nAnswer: -459, -3, 2877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 704394000 to the nearest 1000000.\nAnswer: 704000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2654 - 20*s + 2654 + 18*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -15 - (-125 - -181)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26 and -109\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h - 13. Let c be s(8). What is the greatest common divisor of c and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3586629 rounded to 3 decimal places?\nAnswer: 8.359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 (base 15) in base 8?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.87349 millennia in months?\nAnswer: 814481.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 - 150. Let h(a) = -3017 - 4*a**2 + 4*a**2 + 3017 - 2*a**2. Calculate s(h(p)).\nAnswer: -8*p**4 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 92 - 12 = 0. What is the greatest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1089, 2, 0 in decreasing order.\nAnswer: 1089, 8, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(7) + 3 - (sqrt(7) + sqrt(7) + sqrt(84)\/sqrt(3)))**2.\nAnswer: -42*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 6 = 7*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85944233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-26)*w*w*w\/w**(2\/63)*w)\/(w*w*w*w**(-17\/7)*w**(-2\/19)) assuming w is positive.\nAnswer: w**(-26930\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 5*j**3 - 2*j - j.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*k**4*t - 14*k**3*t - 12*k**2*t + 3*k**2 + 3*k*t wrt k?\nAnswer: -144*k*t - 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33620 - -50640. Suppose -p = -b - 19*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v. Let w(n) = 4749*n - 4672*n + 34 - 31. What is a(w(b))?\nAnswer: 462*b + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) -0.4 (c) -27 (d) 1.6 (e) 3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7280 + 1711?\nAnswer: -5468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/(-4*(-27)\/120)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.7 - -0.7. Let y = -0.391 + 0.291. Which is the third biggest value? (a) g (b) -0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 71 - 135 = s + 111, 3*s - 45 = -24*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1253?\nAnswer: -4\/1253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.4, -1\/2, 1674.6 in increasing order.\nAnswer: -6.4, -1\/2, 1674.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 0*j + 50 + 33\/32*j**4 + 3*j**3 + 3\/40*j**5 - 27\/4*j**2. Factor g(z).\nAnswer: 3*z*(z - 1)*(z + 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j + 10 = 0. Let a = 2 - 0. Suppose -g - j = -a*g. Solve -g*c + 0*c = -5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30566293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - y. Suppose 8 = -5*o - 2. Let l be u(o). Let c = 6 + l. Solve d + 0*v = 3*v - 3, c = 3*v - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.59188699 to two dps.\nAnswer: -32.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/3)*o*o**(-4)\/o*o*o**(-2\/5)*((o**(-3)\/o)\/o*o*o)\/o assuming o is positive.\nAnswer: o**(-106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2128 + -2131. Sort -4, -2, -5, l, -17.\nAnswer: -17, -5, -4, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 22 - 59 = 0. Let c be (-44)\/(-6) - (-1)\/(-3). Solve -3*k = 3*l + 12, -v*l - c - 3 = k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7059 and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 - 11*t**2 - 17*t**2 - 14*t**2 + 17*t**2 - 35*t**2.\nAnswer: -67*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0.03937 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -3*k + 107, -3*w - 3*k = -24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 6:22 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1, -116, 2?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5295 + -5294. Is 1\/992 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 23*s = -g + 6, -3*s = 3*g - 12. Let n = -7 - -12. Solve 0 = n*w - x + 10, x + g + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226874523 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2522456.3 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-824)\/309 - (-3)\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 - -125. Suppose -f + u*b + 210 + 86 = 0, 0 = f + 4*b - 320. What is the greatest common divisor of f and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-2))\/(-7*(-2)\/56)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -1. Let o be (-4)\/10 + 88\/(-55). Let l be (-2 - (-1 - 1)) + o. Sort i, l, 4 in descending order.\nAnswer: 4, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 5. Let n = q + -14. Let b be 14800001\/(-2) - 2\/n. What is b rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 18 = -2*s, 2*s - 5*k = -s - 28. What are the prime factors of 13 + (-3)\/s + 2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.097? (a) -2\/3 (b) -113\/2 (c) 0 (d) 0.2 (e) 9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46701 + -46698. Let k = -10.68 - -11. Which is the third smallest value? (a) x (b) 5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - k + 238. Suppose k*h - 2*h - 800 = 0. Calculate the remainder when ((-2)\/3)\/(2\/(-438)) is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387288067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 13*u - 22. What is g(-15)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, -0.9, 4\/5, -3\/52?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9583, 11609, 14985, 19711, 25787?\nAnswer: 33213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 53 + 37. Let n = g - 16. Suppose -n*v = -2*q + 6396, -3*q = v + 2467 + 739. Round v to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 5*x - 8*y - 17, -6 = -2*x + 2*y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572 + 633 = 5*k + 4*x, -4*k + 7733 = 857*x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170713048?\nAnswer: 2, 11, 17, 114113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152 and 42312224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -77*r**2 + 60*r**2 + 307*r**2. Let j(h) = 2*h. Give j(i(z)).\nAnswer: 580*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 8*g + 74. What is f(12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235, 284, 379, 532, 755, 1060?\nAnswer: 1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15871 - -77708. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -7*s + 120 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 47*t + 813. Calculate the remainder when 163 is divided by j(-16).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0907687522 to 4 dps.\nAnswer: -0.0908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:53 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - 0.3. Let x = 4.6 - b. Let q = 15 - 15.4. What is the second biggest value in -2, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**3 + q**2. Suppose 9 = -3*r + 3*u, 0 = -4*r + u - 2*u - 2. What is the units digit of v(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 11200.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2363*m + 2351*m = -16200. Suppose 0 = 13*l - 6*l - 189. What is the greatest common factor of m and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196722.\nAnswer: 2, 3, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 3*f + 2. Let g(z) = z**3 + 2*z**2 - 2*z - 1. Let u be g(-2). Suppose 0 = -2*r - 0*r + 10, -u*r + 9 = 3*b. What are the prime factors of x(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849 is divided by 106.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let z(x) be the second derivative of -13*x**5\/60 - 5*x**2 + 9*x. Let q(t) be the first derivative of z(t). What is f(q(d))?\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 6)\/10*0. Solve n = -0*h - h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3323 (base 4) in base 12?\nAnswer: -18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2596246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -270395710 rounded to the nearest 100000?\nAnswer: -270400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 312\/35 and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - -1*4\/2. Let x(t) = t**2 - 21*t + 112. Let a be x(12). Suppose a*w - k*w = -5*f + 40, 0 = 3*w. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -52\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -64*o - 1. Let s(f) = f**2 + 6*f - 8. Let h be s(-7). Is d(h) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 12*v - 48. Let i be u(-15). Put -26, i, 4, 3 in decreasing order.\nAnswer: 4, 3, i, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -997*y = -995*y - 9180. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilelteltitctiilt. What is prob of picking 1 t, 1 l, and 2 e?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 334*y**5 + 132*y**2 wrt y?\nAnswer: 20040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*b**2 - 58 + 58)*(-b**2 - 2*b + b**2 + 2*b**3).\nAnswer: 26*b**5 - 26*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m + 3*m - m)*(-1 - 6 + 3)*(2509 - 457*m - 2509) in the form g*m**2 + y*m + c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11\/53016 + 480324707\/1219368. Let o = -394 + d. Let b = 13\/10 - 9\/5. Sort -3\/2, o, b.\nAnswer: -3\/2, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10061978 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161446378 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 4. Let p = -17 - a. Let x = p + 12.00019. What is x rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -1. Let d be 429\/15 - b\/15. Differentiate d*r + 5*r - 16 - 5 + 0 with respect to r.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010010001000001011010 - -1?\nAnswer: 1010010010001000001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*((sqrt(3993)*-2)\/(sqrt(11) - -1*sqrt(55)\/sqrt(5)) + -1) + 4.\nAnswer: -22*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171877 - 5403641001\/31439. Let y = 1666311\/691658 - j. What is the common denominator of y and 15\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8294.5 + 8294. Sort 14\/11, -3\/2, 0.5, r, 0.3.\nAnswer: -3\/2, r, 0.3, 0.5, 14\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 538809 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 7*j + 7. Let a be p(7). Let k(z) = -a - 6 + 13 + z**2. Let o(w) be the third derivative of -7*w**5\/30 + 3*w**2. Give o(k(d)).\nAnswer: -14*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5568*o**2. Let z(h) = 2*h. Determine u(z(q)).\nAnswer: 22272*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 263 (b) -149 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**6*((y*y*(y*(y**1*y*y)\/y*y)\/y*y)\/y)**38)\/((y\/(y*y**(1\/3)))**(-21)*(y\/y**(-3\/5))\/y*(y*y**(-4\/5)\/y)\/y) assuming y is positive.\nAnswer: y**(951\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-11) + (-1476)\/(-1804)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*s + 11*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (476\/(-21))\/17 - 28\/6\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1886994 to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.19 (b) 93 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**2 - 125070*m - 11712400 = 0.\nAnswer: -24920, -94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037166555 rounded to 5 dps?\nAnswer: 0.03717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3 - 3*j**2 + 9*j - 5 = 0. Calculate j.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(77))\/(sqrt(7) - sqrt(28)\/sqrt(4)*4))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/5)*u)\/u**(2\/5)*(u*u*u\/(u\/(u\/((u*u**(-1\/2))\/u))))**42 assuming u is positive.\nAnswer: u**149","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1127 times 0.0949?\nAnswer: -0.01069523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-39)*(30\/(-24))\/(15\/(-72)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-17)\/3 + 44\/12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.05 - 0.05. Let q = -2.98 + j. Let t = 0.12 - q. Which is the third biggest value? (a) t (b) 0.3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137381*-4\nAnswer: 549524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -14 + 15 + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42685, -85378, -128081, -170800, -213541, -256310, -299113, -341956?\nAnswer: -384845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(11) + 2 + 1 + sqrt(121)\/sqrt(11))*-4)**2.\nAnswer: -128*sqrt(11) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12229 + 220067\/18. What is the common denominator of q and -97\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 0)*(3 + 13\/(-2)). Let c(a) = 5*a**3 + 7*a**2 + 4*a - 4. Let k(z) = -3*z**3 - 4*z**2 - 2*z + 2. Determine h*k(t) - 4*c(t).\nAnswer: t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Let z(r) = 2*r - 4. Let y(b) = -b - 1. Let f be y(-4). Let s be z(f). Let x(u) = 7*u**2 - 22*u**2 + 11*u**s. Determine v(x(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/68 and -97\/170.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 0\/2)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -202678246694.\nAnswer: -202678246693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*d - 43. Let s = 24 + d. Suppose s*p - 3*a - 64 = 0, -p - 3 + 6 = -4*a. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10073 + -10073.3. Put d, 0.5, 0.4, 2, 43\/6 in descending order.\nAnswer: 43\/6, 2, 0.5, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 35. Let t be l(-11). Suppose 5*a = t*f + 2*a - 4, -21 = -3*f - 3*a. Solve 10 = -f*q + 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/33 - (-1956)\/132. Suppose -k*q + 54 = -9*q. Let u(w) = -2*w + 13. Calculate u(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88119151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.300433kg to nanograms.\nAnswer: 7300433000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(187) - 2*sqrt(187)) + sqrt(187))\/(6*(-2*sqrt(11) + sqrt(11))).\nAnswer: 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18391229*t**5 + 54590811*t wrt t?\nAnswer: -367824580*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 2*s - 6. Determine q(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > 47234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 less than -128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 2749264.\nAnswer: 8247792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 12:17 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5713 - -30?\nAnswer: 5743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 10:57 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(80\/56)*(-1)\/(-35)*190\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5644, -8, -4, -79 in increasing order.\nAnswer: -5644, -79, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*q - 35 = -2*s, -s + 29 = 2*q. Let p(d) = -27*d - 10. Let h be p(-5). Calculate the greatest common factor of s and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 27*c**2. Let f(x) be the first derivative of 0*x - 5\/3*x**3 + 0*x**2 + 36. Calculate f(h(d)).\nAnswer: -3645*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.14 (b) -4 (c) -2 (d) -2.7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*g - 5*g + 238, 0 = 2*k + 2. Let n = g + -235. Find h such that 5\/4*h**n + 17\/4*h**3 - h + 0*h**2 - 9\/2*h**4 + 0 = 0.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + o**2 - 2*o + 1. Let h be r(1). Let x = 2 - h. Solve -2 = 5*p + x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b - 4. Suppose -3*m - b*v + 40 + 70 = 0, 0 = 4*m - v - 165. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -85082 != -85081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(27\/9)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3*z + 4614, -30*z = -26*z + 20. Calculate the highest common divisor of u and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -7*b**4\/6 + 42*b + 260. Let a(z) be the first derivative of h(z). Let j(c) = -4*c. Calculate j(a(m)).\nAnswer: 56*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(108))\/(-2*sqrt(144) - sqrt(144)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -15884 at least -15880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 32, -0.5 in decreasing order.\nAnswer: 32, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3608665 (base 9) to base 4\nAnswer: 13131102302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + p = 845, 4*p - 78 = -2*t + 242. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171 - -358. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - m**3 + 0*m + 7*m + 10*m**2. Let u(g) = 2*g**3 - 26*g**2 - 20*g. Let h(i) = 8*p(i) + 3*u(i). Factor h(d).\nAnswer: -2*d*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 82*w + 154. What is the lowest common multiple of 27 and j(-1)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 3*d - 7. Let i be u(-5). Let g(y) = -2*y + 3. Let o(c) = c - 1. Let z = 29 - 28. Let j(w) = z*g(w) + o(w). Determine j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-15))\/((2\/3)\/((-124)\/589)). Sort 1, f, -0.5 in increasing order.\nAnswer: -0.5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 r when four letters picked without replacement from {r: 6, u: 10, y: 2}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 966049650 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21805\/87252 + -2\/21813. Let t = -173.3 + 157. Let m = t + -4.7. Does m = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {m: 1, c: 6, r: 5, f: 2, t: 1, g: 2}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6367841mm in meters?\nAnswer: 0.0006367841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 19 = 3*o. Suppose -q + 379 + 55 = o*t, -t + 104 = -2*q. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.3 and 4.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m - 1. Let l(n) = 3*n + 1. Let c(w) = -5*l(w) - 3*r(w). Let j(s) = 9*s - 6. Give 11*c(y) - 4*j(y).\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:19 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 15 = 9*n, -2*n - 15 + 9 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.5 - -17. Sort s, -3\/4, 4 in decreasing order.\nAnswer: 4, s, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 14*q + 2. Let v be b(-12). Let k = v + 273. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 5 = 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcqqbcqkg. Give prob of picking 3 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 11\/4. What is the nearest to 1 in 3\/7, -3, z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 + 4 + 313*o**3 - 327*o**3 - 4 - 30*o. Let p(c) = -c**2 - c. Let w(i) = -k(i) - 4*p(i). Find the second derivative of w(m) wrt m.\nAnswer: 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - o + 8. Determine a(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-488)\/(-360)*-5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002603165 to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06344947 minus -9.7?\nAnswer: 9.76344947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*z + 4*w + 21, 0 = 2*z + 5*w - 26. Solve -7*o + z - 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -11*q**2 - 2. Let w(d) be the second derivative of -d**4\/3 - 279*d. Give b(w(k)).\nAnswer: -176*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2*k + 1 - 5.\nAnswer: 2*k - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*b = 72*b - 663 - 92 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26121, 25982, 25737, 25386, 24929, 24366?\n\"Answer: -53*n**2 + 20*n + 26154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1520691 and 32361?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26999.25 and 0.02.\nAnswer: 539.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z + 1. Suppose 4*t + 16 = -4*s, 27*t + 38 = -5*s + 31*t. What is m(s)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 32. Let w = o - 12.81. Let j = 0.19052 - w. What is j rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-33 + -6 + 12)) + (61 - 74).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5936944127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464.8729 nanoseconds to milliseconds.\nAnswer: 0.0004648729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17071684?\nAnswer: 2, 7, 349, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -558*j**2 - 14*j + 27*j - 13*j - 50*j**2 to l*j + o*j**2 + b and give o.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, t: 1, j: 1, d: 1}. What is prob of sequence dtxj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(28\/(-12)) + 9. What is the second derivative of 5*v + s - 6 - 6*v**3 - 7*v wrt v?\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*p + 10 = 5*p, 3*a = -5*p + 21. Suppose h - 8 = -3*h - 2*y, -2*h + 6 = a*y. Put 0, h, -4 in descending order.\nAnswer: h, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -312, 1, -54.\nAnswer: -312, -54, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 2065198*v - 1066260694801.\nAnswer: -(v + 1032599)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 229810 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226310216.\nAnswer: 2, 11, 19, 135353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, o: 2, p: 2}. Give prob of picking 2 y.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/4 - 155*b**2 + 28000*b - 1176000 = 0. Calculate b.\nAnswer: 60, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*a + 5472 = 25*a - 94*a + 30*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -828, -1112, -1586, -2250, -3104?\n\"Answer: -95*o**2 + o - 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icciccicicicq. Give prob of picking 1 q and 2 i.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14a (base 13) to base 10\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 9:57 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)\/f**(-8)*(f**(2\/7)*f)\/f**(4\/7))\/(((f\/(f*f**(2\/15)*f*f))\/f)\/(f**(-7)\/f*f)*f**0*f*f*f**8*f) assuming f is positive.\nAnswer: f**(-1381\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -15*z + 204. Suppose -s + 28 = -4*r + 2*s, -4*s + 36 = -5*r. Let d be r\/6 - (-2)\/3. Solve -3*q - q + 3*j - z = 0, -2*q - 4*j + 8 = d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(99) + -1 + 0)*-4 - (5 + -5 + sqrt(99) + 0 + -1)) + -3)**2.\nAnswer: -180*sqrt(11) + 2511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggegggeevgge. Give prob of picking 1 g and 1 e.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 448904669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/9 + 236*d\/9 - 6962\/9 = 0.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 3*g + 444, -4*g = 16. Let b = 108 - h. Solve -3*k - 3 = -3*n, b*n - n - 3*k = -13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1996016 divided by -16.\nAnswer: 124751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1005 + 0?\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1716*h**2 - 9307*h**2 + 373*h**2 - 3602*h**2.\nAnswer: -10820*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 5*s + 3. Let k be h(-5). Suppose 0*g = k*g + 9. Let t be (g\/12*2)\/(-1). Put -0.2, t, 3 in decreasing order.\nAnswer: 3, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l - 12. Is 11 a factor of (-58)\/(-3) + 1\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + ((-99)\/(-3))\/3. Let k be (-10)\/u*45\/(-5). What is the tens digit of k\/(-20) - (-906)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 151*r**3\/6 + 197*r**2\/2 + 475*r. What is the derivative of u(d) wrt d?\nAnswer: 151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/500 and -117\/1550.\nAnswer: 15500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 10*h)*(-1 + 1 + 3)*(-3 + 3 - 3).\nAnswer: 90*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 363*(((-2752)\/(-96))\/43)\/(-2).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 542.2 - 542. Let p = 368\/5 + -73. What is the closest to -2\/7 in l, -5, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1814, -3622, -5428, -7232, -9034?\n\"Answer: j**2 - 1811*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) -0.5 (b) -4 (c) 4 (d) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 9 + 9 - 13*y**3.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 511 and 0.3.\nAnswer: 153.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 721005 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r + 1945 = 2190 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 142 + -53 + (-55 - -38)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h. Suppose -2 = -n - h. Let y be 4\/3*(-3)\/n. Let f(j) = -3*j**2 + 2. What is f(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.595716cm to nanometers.\nAnswer: 35957160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 521.22 - 11.22. Let w = i - 486. Is -2 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 6*o**2 + 3*o. Suppose -66 = -10*v - v. Suppose 31 - 4 = w - 4*k, k - 16 = -3*w. Suppose 0 = w*b - v*b + 4. Calculate d(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**19\/h)*h)\/(h**27*h)*h\/(h**(1\/11)*h)*h**(-1\/7))**(-3\/4) assuming h is positive.\nAnswer: h**(5109\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11 - 5*z - 6 + 2*z. Does 8 divide q(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2994859.\nAnswer: 7, 29, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -248673, -499113, -749553?\n\"Answer: -250440*a + 1767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -433 + 432.99999046. What is x rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 1314?\nAnswer: -1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7168 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 62, 178\/5 in decreasing order.\nAnswer: 62, 178\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 13*f**2 - f - 13. What is p(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h - 50 = -2*k, 2*k - 62 = -5*h. Suppose 8*b - 11*b = k. Which is greater: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 7*g + 4. Let x be v(5). Let p(c) = -4*c - 6. Let d be p(x). What is the highest common divisor of d and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 19*i + 28. What is o(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24a + 6c6?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7977188 millilitres to litres.\nAnswer: 0.0007977188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2421, -1905, -1417, -963, -549?\n\"Answer: -n**3 - 8*n**2 + 547*n - 2959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 8:25 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e03dd + -2?\nAnswer: -1e03df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49133953 + 0.2.\nAnswer: 49133953.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, -51, -266, -619, -1116, -1763?\nAnswer: -2566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5119*l**3 - 5*l**2. Let n(o) = o**2 - 7*o - 3. Let j be n(8). Let r be g(j). Round r to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f + 3*h + 327, 20 = -5*h. What is the greatest common divisor of 189 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) -2 (b) -36.9 (c) 1\/5 (d) -7 (e) -1 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 3) to base 7\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 21 = -12*v - 3*i, 0 = -3*v + 4*i - 31 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.5 (b) -4 (c) -2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1999 + 4871. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 40*h**2 - h. Give b(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 2*j**3 + 12*j**2 - 2 + 0*j - 10*j**2. Let p be i(1). Is -4\/19 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - h - 5 - 4*h - h + 3*h + (2 + 3 - 3)*(4 + 3*h - 4) - 4*h - 7*h + 3*h to the form x + g*h and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 204*z + 756. Give f(0).\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*o**2\/9 - 151849862*o\/9 + 37962466\/9.\nAnswer: -2*(o + 18981233)*(4*o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -12*p. Let j(a) = 3283*a + 3324*a - 6694*a. Calculate j(m(i)).\nAnswer: 1044*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147721)\/(-1368640) + (-30)\/325?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*b - 21*b + 0*b + 49*b - 53*b.\nAnswer: -79*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 5*v + 14*v + 11 - 14 + 18*v**2 + v in the form n*v**2 + r + o*v and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - i - 8. Suppose 2*f - 124 = -29*f. Determine a(f).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -1) + 173\/1. Suppose -2*a - 199 = -h. Let y(w) = w**3 + 14*w**2 - 16*w - 8. Let t be y(a). Solve 3*m - 2*k - t = -4*k, -5*k = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19264, 37988, 56716, 75454, 94208, 112984, 131788?\nAnswer: 150626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 + 4 = -5*k. Solve 5*g = i - k, -i = -3*g - 0 - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 n, and 1 z when four letters picked without replacement from nqzqwqqzywywn.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -310572 times 337?\nAnswer: -104662764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*a + 38 = 0, -17*w = -19*w + 2*a + 16. Solve -4*c = -3*t - 0 - w, c + 5*t = -15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-22 + (-4430)\/(-25))\/((-2)\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 24\/7, -0.1, 0.1, -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.006*0.14.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 2*g**2 - 14*g**2 - 9*g**2 + 25*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 163019 = 4*w + 410648, d - 4*w = 191225. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 7*c**2 + 8*c - 9. Let p be m(8). Let x(q) = -q**3 - 8*q**2 + 8*q - 7. Let n be x(p). Let f be n\/6 + (-2)\/(-12). Is 0.3 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 - 95. Suppose -t*n - 2*n + 924 = 0. What is the smallest common multiple of n and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w - 0, 3*w = 3*k - 3462. Suppose 3*m - k = -4*m. Calculate the highest common divisor of 66 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 11 + w**3 + 3\/5*w**5 + 0*w**4 + 0*w**2 + 0*w. Find the third derivative of d(j) wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.49584*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695312120 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**2 - o - 4. Let q = 3 - 6. Suppose -154 = 20*v - 31*v. Calculate the remainder when m(q) is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 65*d**2 - 1127*d**3 - 90*d**2 + 23*d**2 as y*d**2 + c*d + k + l*d**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 176 or 279016\/1575?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 6*r**2 - r + 6. Let y be j(6). Suppose y = -2*l + 46 + 220. List the prime factors of l.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 10*p**2 + 8*p - 32. Let f be a(5). Suppose 82 = -3*x + 5*x + 2*l, -3*x + f = -2*l. Calculate the remainder when x is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 15 - -5) + -12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 s when three letters picked without replacement from krsskkkrk.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.533206 and 22080389.\nAnswer: 22080388.466794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1551*c**2 - 3*c + 20. Let h(j) = j**2 - 7*j + 13. Let u be h(6). Let r be l(u). Round r to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62401, 62471, 62561, 62677, 62825, 63011, 63241, 63521?\n\"Answer: u**3 + 4*u**2 + 51*u + 62345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2169 take away -0.03?\nAnswer: -0.1869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 27. Let o(b) = 18*b - 196. What is -4*c(p) - o(p)?\nAnswer: -14*p + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7509 + -7478. Calculate the remainder when 1074 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13*h - 9. Let p = -466 + 472. Suppose z + 2*x - 1 = 0, -p*x = -8*x - 8. Let c(d) = -3*d + 2. Calculate z*c(j) + 2*i(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/(-26)*1*12\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40746, 40835, 40964, 41127, 41318, 41531?\nAnswer: 41760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3 (b) -2\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (-8)\/(-3))*0. Suppose -3*j - 4*j - j = t. Solve -2*r + j = 3*i + 2, -5*r + 4*i - 28 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.072896 and 0.1.\nAnswer: 0.0072896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 872 + 1298 = 10*l. Suppose 0 = 5*z + 15, 5*u + 2*z - 26 = u. Suppose u*w = w + l. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(-p - 335 + 104 - 58)*(4*p - 8*p + 3*p).\nAnswer: -2*p**2 - 578*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214211091.\nAnswer: 3, 71403697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 13*o**6\/8 - o**5\/60 + 127*o**3\/2 - 778*o**2. Differentiate q(z) wrt z.\nAnswer: 585*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7493 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*x = -3*t + 27*x - 4*x + 35*x + 27, 0 = -5*x for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l - 10*l - 2548 = 97*l for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + -19?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -149*v**3 + 295*v**3 - 153*v**3 - 5*v**2 + (0 + 2 + 0)*(-11*v**3 + 16*v**3 + 8*v**3).\nAnswer: 19*v**3 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7860 and 83270?\nAnswer: 65450220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3 - 31416*x**2 + 1405620*x = 0. What is x?\nAnswer: 0, 45, 7809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(2*n + 0*n + 0*n) - 2*n - 2 + 4 + n + 2*n - 5 + 5.\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/((-1056)\/64))\/(((-21)\/63)\/(2\/46))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239446453 to the nearest integer?\nAnswer: 15474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w - 12 = 0. Suppose 5*s = w*k - 72, 7*s = -3*k + 2*s + 54. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 23*q + 26. Let t be i(-22). Solve 52*g - 368 = -t for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*w**3 + 94*w**3 - 4*w - 39*w**3 + (2 + 3 - 4)*(-2 - 2*w + 2)*(-w**2 + 4*w**2 - 4*w**2).\nAnswer: 12*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2568380 and 770514?\nAnswer: 7705140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7051776240.91 less than 5?\nAnswer: -7051776235.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-228 + 262*i + 130 + 98)*(0*i - 2*i + 4*i).\nAnswer: 524*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72321 by -52.\nAnswer: 72321\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-24))\/(156\/(-1755))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**7\/2940 - c**6\/420 + c**5\/140 - c**4\/84 + c**3\/6 - 4*c**2. Let y(l) be the first derivative of f(l). Factor y(p).\nAnswer: 2*(p - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748731.8 weeks in days?\nAnswer: 5241122.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c - c + 3*c + (5*c - 2*c - c)*(-5 + 2 + 2))*((4 - 6 + 3)*(-1 + 7 - 1) - 160 + 223 + 245) to the form r + q*c and give q.\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 65*c**2 + 49*c + 235. What is the hundreds digit of z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)*n\/(n*n\/(n*n**(10\/9)))*n)\/(n**(3\/7)*n*n**3) assuming n is positive.\nAnswer: n**(-587\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1055*n**3*t**3 + n**3*t - 850*n*t - 2*t**4 wrt t?\nAnswer: -6330*n**3*t - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8 - 6*x**2 - 5*x**2 + 17*x**3 + 5 + x + x. Let w(i) = 8*i**3 - 5*i**2 + i + 6. Suppose 0 = 2*v - 3*b + 157 - 172, 0 = -b - 1. Give v*r(d) - 13*w(d).\nAnswer: -2*d**3 - d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.34344 - 0.04344. What is the third biggest value in 3, y, 149\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -23\/3 (c) 11 (d) 2\/9 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2255505010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24575 divided by -4915?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*i + 0 + (-2*i - 3 + 3)*(2 + 1 - 5) + 2*i - 1 - 4*i + 3*i)*(-11323 + 11323 - 3010*i).\nAnswer: -9030*i**2 + 3010*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from {z: 2, c: 1, k: 7, o: 2, l: 8}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -264*a + 8. Let x(j) = -262*j + 11. Give 2*x(c) - 3*z(c).\nAnswer: 268*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22151.11mm to centimeters.\nAnswer: 2215.111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355497850 rounded to the nearest one hundred thousand?\nAnswer: 355500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1336 - 1316. Solve w*s + 64 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**6\/70 + f**5\/105 + f**4\/21 - 3*f**2\/2 - 4*f. Let d(t) be the first derivative of a(t). Determine v so that d(v) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139005.\nAnswer: 3, 5, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 0 + (-1 + 5 - 5)*(-41 - 86 - 14))*(v + 2*v**2 - v) to s*v + o*v**2 + n and give o.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 + -62. What is the lowest common multiple of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 25*v + 28. Give w(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81191399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7253 rounded to two decimal places?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 4*q. Determine y(-8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13394297 by -49.\nAnswer: -273353","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z**2 + 3*z - 12. Suppose 0 = 74*o - 86*o - 48. Is 24 a factor of i(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = w - 5*x, -2*w + 28 = 2*w + 4*x. Calculate the highest common factor of 36 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63955014542 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1723 is divided by 854?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in decades?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 71*y**2 - 265*y + 574. What is v(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -26, -7 in increasing order.\nAnswer: -26, -7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21855.66 millilitres in litres?\nAnswer: 21.85566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1675 and -0.3.\nAnswer: -502.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 7 + 85*q - 3 - 1 to c*q + j and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 = 0, -4*r + 8 = 3*t - 27. Suppose 0 = 4*a + j - 2*j - t, -15 = -5*j. Let u be (a\/(-12))\/(-1 + (-750)\/(-747)). Round u to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v = 0. What is the third derivative of -76*o**6 + 11*o**2 + 74*o**6 + v*o**2 wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 5 (c) -3.2 (d) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 6*m**2 - 4*m - 6. Let k(w) = 3*w + 22. Let c be k(-9). What is the tens digit of s(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449350 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*l - s + 44, -3*l - 3*s = -21. Let i be 84 + 2\/1 + 1. Suppose -l*h = h - i. Sort 1, h, 2 in descending order.\nAnswer: h, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 1022?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.1*-1.68.\nAnswer: 16.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3653298332 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruiiuurrururrriri. Give prob of picking 2 i and 1 r.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -27211277*b**2. Let w(o) = -38*o. Calculate g(w(x)).\nAnswer: -39293083988*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 10\/(-140) - 183\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22090 and 23735.\nAnswer: 2231090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 - 52*j + 108.\nAnswer: -52*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m = 20*m + 195. Let o = m + -53. Solve 5*z = -4*q - o, 3*z + z = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(-1*sqrt(288))\/sqrt(8))\/((sqrt(108) - -1*(sqrt(108) + sqrt(108)*2 + sqrt(108))) + sqrt(108)).\nAnswer: -1 + 5*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -27. Let s = f + 22. Suppose -s*h = -85 - 47. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 6*(sqrt(117) - (sqrt(117) - (sqrt(117) + -2*sqrt(117) + sqrt(117)) - sqrt(117) - sqrt(117))))\/(-3*sqrt(18)\/sqrt(2)).\nAnswer: -13*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-440538)\/(-66) - 12\/(-66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2623*b + 2621*b + 16046. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 + 0*n + 0*n + (3*n**3 - 3*n**3 - 4*n**3)*(2 + 1 - 5) - 5*n**3 - n**3 - n**3 - 18 + 41 - 24 - n - n**3.\nAnswer: n**3 - n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -0.2, 108\/11 in descending order.\nAnswer: 66, 108\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9179126171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*m + 7*m + 63789, -3*w + 38303 = 5*m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 0.89125.\nAnswer: 1.29125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*(-3 + -3*(-1 + -4*sqrt(432)*-1)))**2.\nAnswer: 1555200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2099*b - 18. Let a(g) = 52*g - 1. Calculate 34*a(h) - 2*v(h).\nAnswer: 5966*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 3*y + 11. Give t(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -28 (b) -0.5 (c) -11\/2 (d) -3 (e) 38\/3 (f) 0.002 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 7:55 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*f - 4*y - 170 = -169*f, -31*f - 2*y - 194 - 51 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44\/(-16)*-1*-4. Let q(k) = k**2 + 9*k - 14. Let t be q(m). Suppose t*a = 7*a + 40. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2543 - 1876. Calculate the smallest common multiple of 6 and r.\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, 60, -434 in increasing order.\nAnswer: -434, 0, 8, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t = -16*t + t. Which is smaller: 2\/16027 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 268*k + 1076. Let h be d(-4). Sort 43, h, -2.\nAnswer: -2, h, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1 + 2 + 1 - 4*j - 3*j. Let l(t) = -1. Let p(g) = -d(g) - 2*l(g). Let x(q) be the second derivative of q**4\/2 - 31*q. Calculate x(p(i)).\nAnswer: 294*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/((-1)\/152). Suppose -281 = -4*g - 3*y, -22*g + 20*g + y + 153 = 0. Let o = n - g. Solve -12 = o*m - 4*s, 3*s + 3 - 15 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 978 a factor of 31374240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - ((15 - 22) + 11 + -15)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25021709?\nAnswer: 997, 25097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 - (-652)\/1848. Let a = -55\/14 + u. Calculate the common denominator of 252757\/31626 - 4\/(-18) and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 32*x + 17. Let f(i) = 27*i + 12. Let q(w) = 14*w + 6. Let r(d) = 3*f(d) - 5*q(d). Calculate -6*h(m) + 17*r(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1112, 694, -2, -976, -2228, -3758, -5566?\nAnswer: -7652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*k**2 + 302*k**2 - 589*k**2.\nAnswer: -35*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9676104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137315.386 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - ((5 - -4) + (-12 - (4 + -13)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1, 4, -2\/15, 2\/13 in decreasing order.\nAnswer: 21, 4, 1, 2\/13, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 3 + 2 - 17*o + 10*o. Suppose 3*k + 2 - 5 = 0. Let b(w) = w - 2*w + 2*w - k. What is -4*b(n) - s(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - d - 5*d)*(d**2 - 2*d**2 + 2*d**2) + 0*d**3 + 10*d**3 - 3*d**3 - 1.\nAnswer: 6*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 12:54 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*v + l, -19*l = v + 114 + 20. Solve 8*a = 6*a - 2*x - v, -4*x = 12 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.5236kg in micrograms?\nAnswer: 268523600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -l - 3*v + 5*v, 0 = 4*l + 2*v + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -388127 - 317796.\nAnswer: -705923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000022102 + -2222220?\nAnswer: 1220022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -19 + -37 - -15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42255*n + 42948*n - 6930 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 251\/5 + -50. Let w be 112\/210 + (-4)\/10. Let s = w + z. Which is smaller: 10 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309*v - 96 = 311*v. Let q be (-1 - -5)*(296\/v + 6). Let n = 3 - -27. Sort 2, -0.5, q, n.\nAnswer: q, -0.5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0 + 27*d - 125\/6*d**4 + 3\/2*d**3 - 8*d**2. Let y be j(-6). Round y to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/(-44) + (-845)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 - -108. Solve -4*d = z - 8 - 13, -4*d + 31 = x*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 282*i**2*x**2 + 125*i**2 - i*x**3 - i*x**2 + 2*i*x + x wrt x?\nAnswer: 564*i**2 - 6*i*x - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (27283\/(-27))\/(2\/12) + 3. Let l = -6032 - h. Let x = l + -28. Which is the biggest value? (a) -4 (b) x (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -879, -1765, -2637, -3489, -4315, -5109, -5865, -6577?\nAnswer: -7239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -178526590, 3 in ascending order.\nAnswer: -178526590, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - m + 481. What is the hundreds digit of h(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -734*c**3 + 1437*c**3 - 704*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3*a**4 + 2*a**3 - 16*a - 1 + 18*a in the form r*a**2 + s*a + g*a**3 + p + f*a**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4760710.\nAnswer: 2, 5, 59, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 3*f**2 + 2*f - 1. Let r be 276\/368 + 5\/4. Let b = 5 + 1. Suppose -2*c = g - 2, r*g - 4*g - b = -c. Give i(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.17 (b) 2 (c) 3\/5 (d) 330 (e) 10 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1874)\/(-10307))\/(-1 + 28\/22). Let u(z) be the first derivative of 6*z - 2*z**2 + 8 - v*z**3. Factor u(l).\nAnswer: -2*(l - 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (208\/10)\/(-52)*10\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 3*b**2 + 3 - 146*b + 147*b - b**3 + 2*b**2 - 5*b**4 as q*b**4 + t*b**3 + g*b**2 + y + v*b and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 703 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n = 3*k + 8, 0 = -n - 5*k - 2. Let l be (n\/(-4))\/(1\/6). Suppose -4 = -5*g + 4*c, -g + l*c - 5 = 3. Solve -g*q = -13 - 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 3. Let i(t) = 0*t + t + 4*t**2 - 4*t**2 + 3 + 2*t**2. Let z(q) = -2*h(q) + 3*i(q). List the prime factors of z(4).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/2 + 6\/4. Let f(r) = -j - 4*r + 7 - 2. Let s(u) = -u**2. Give s(f(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(-3 + ((sqrt(243)*3 + sqrt(243))*-3 - (sqrt(243) - (0 + sqrt(243))*6 - sqrt(243)))))**2.\nAnswer: 6912*sqrt(3) + 140224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/33 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 78. Calculate the smallest common multiple of r and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -2*s**7\/21 - 8*s**6\/45 + 2*s**5\/15 + 4*s**4\/9 + 2*s**3\/9 - 8*s. Find q such that f(q) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14089484 is divided by 404.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3241344.42 and 3.\nAnswer: -9724033.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) + 2*sqrt(315) - sqrt(315))*6 + sqrt(315))\/(sqrt(700)*1).\nAnswer: 39*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2194 plus -14082747?\nAnswer: -14080553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -399729391, -799458781, -1199188171, -1598917561?\nAnswer: -1998646951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.392 - -2.018. Let t = 0.19 + q. Let j = t - 1.6. What is the nearest to j in 5, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 5. Give v(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b + 20. Find the third derivative of 4*d**4 - d**2 - 3*d**2 - d**b wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**2 + 3 - p**5 - 4*p**4 + 838*p**3 - 838*p**3 + 2*p**4 wrt p.\nAnswer: -60*p**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -1 + 142. Calculate the highest common factor of f and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y. Let k(g) = 13294451*g**2. Determine r(k(x)).\nAnswer: 146238961*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*j - 755, j + 5*d - 41 - 179 = 0. What is the remainder when j is divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6)*1)\/((-161)\/138).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-2))\/((2 + 2)\/8). Suppose 0 = -2*y - b*j + 38, 3*j - 87 = -5*y - 11. Suppose -y - 2 = -4*x. Solve g = -x*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -4045?\nAnswer: 4043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-5))\/((-10)\/(-25)). Suppose -n*i = i - 12. Solve -i*u - 8 = -6*q + 2*q, 10 = -u + 3*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-63))\/((-4)\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1515687154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6352 divided by 10\nAnswer: 3176\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 72 (b) 12\/17 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2175776)\/(-224) - 96\/42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2362 - -2370. Which is the nearest to -1? (a) -0.2 (b) w (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jeeejeeeedeejed. Give prob of sequence djee.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -343168? (a) 2 (b) -1\/7 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2698 minus 1132.51?\nAnswer: -3830.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*n**6 - 49052*n**5 - 8*n**3 + 145*n**2 + 15*n - 418?\nAnswer: 2160*n**3 - 2943120*n**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9310446213 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -3*h - 3*z, 2*h + 3*z - 57 + 0 = 0. What is the remainder when h is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - ((-109)\/20 - 1). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*j + 77 = 95*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.2000089 - -8.2. Round w to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4 + (1 - 4) + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-17))\/(6\/2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 - w)*(-2 + 4 - 4) + 4*w + 0*w + 1 - 3*w)*(1 + 5 - 1) to a + c*w and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -98ebf + -8?\nAnswer: -98ec7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34691, 277602, 936999, 2221148, 4338315, 7496766, 11904767, 17770584?\nAnswer: 25302483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from ggxggdgxgxgxgxggg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v. Let l(d) = -d**2 - d + 1. Let m(j) = 12*j**2 + 15*j - 15. Let o(u) = -15*l(u) - m(u). What is o(k(c))?\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 86740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (87\/12 + -6)\/((-1)\/(-4)). Suppose -15*s - 79 = -16*s + 4*j, p*s = -2*j + 395. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-2 - -1) + 1 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 177416 and 8174?\nAnswer: 10822376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6*t + 120. Let v be (-110)\/t + 2\/(-3). Let a(f) = f - 1. Let b be a(1). Sort b, 5, v in ascending order.\nAnswer: b, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (129\/(-86))\/(2\/2896*6). Let w = -182 - r. Is w a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07286, 4, -0.13 in increasing order.\nAnswer: -0.13, -0.07286, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3395, -3902, -4385, -4832, -5231?\nAnswer: -5570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1123 + -1200 - (-26 - -1)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -4 + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 838\nAnswer: 670.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-3) - (6 - 5). Suppose -o + 8 = -5*o, 3*o + 12 = u*s. Find the third derivative of 333*n**s - 13*n**4 - 363*n**2 - 6*n**4 wrt n.\nAnswer: -456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p + 24 = 49*p. Let u(y) = 2*y + 3 - 13*y + 2*y**2 + 8*y. Let x(a) = -a**3 - 5*a**2 + 8*a - 8. Calculate p*u(m) - 3*x(m).\nAnswer: 3*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**2 + 573*q - 12371. Determine t(33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 29 = -13. Let z = -12 - o. Solve 0 = z*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31889393345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -23?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 5:54 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 4*r + 11, -9*s - 10*s = 4*r - 24 + 61 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b**2 + 52*b - 572. Let l be q(9). What is the highest common divisor of l and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/6 - (-17)\/((-476)\/(-8358))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Suppose 0*p = -z*p + 6. Suppose 0 = -p*h + 2 + 4. Solve -h*i - v + 17 = 2*v, 2*i + 2*v = 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*-2.4\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-7)*r\/((r*r**(-2\/3))\/r))\/(r**(-1\/2)*r*r**(-2\/3)))**41)**(-2\/43) assuming r is positive.\nAnswer: r**(1271\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317.327 + 182203.7.\nAnswer: 181886.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3658 + 4 - -9 - 7)*23\/1. What is s rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-18)*-1)\/((-5)\/45). Let m(s) = -s**3 + 7*s**2 - 7. Calculate m(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*26\/(-7696)*(1\/5)\/((-12)\/20)\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 + -209. Solve 4*k + 5 = b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*((-29575)\/(-210))\/(-169). Determine g so that -1\/4*g**3 + d*g + 0 - g**2 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 231, 903, 2009, 3537, 5475, 7811?\n\"Answer: -2*r**3 + 229*r**2 - r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7084 + -1284. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (100\/(-70))\/((-12)\/(-119)) and -42\/25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22 - -0.2. Let y = 62 + -123\/2. Which is the nearest to -2\/7? (a) d (b) y (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/7 - 3910*c**2\/7 + 1936174*c\/7 - 24513866\/7 = 0.\nAnswer: 13, 971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*p + 3 + (0 + p + 0)*(-2 + 0 + 7))*(0*p**3 + 5*p**3 - 2*p**3).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 14626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 748*h + 1. Let j(b) = b. What is a(j(r))?\nAnswer: 748*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**4 - 389*y**3 - 1865*y wrt y?\nAnswer: -36*y**2 - 2334*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((1 + -2 - -1) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 12\/8 - (-39)\/2. Let j = r - -16. Let z = 2 - -3. Calculate the greatest common factor of j and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52596990 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 - 12*n**3 + 26*n**3 + 41*n**3.\nAnswer: 46*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 3*x = 0. Suppose x = -0*p + 2*p - 4*f + 6, f + 1 = 0. Let q be (-31)\/p - (-1)\/(-5). Solve -1 + q = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s - 80. Let z = 19 - s. Which is the third smallest value? (a) z (b) 1 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -11. Let x be 9\/(-12)*(-1 + -1). Put x, -3, b in descending order.\nAnswer: x, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 299*o - 7099. Determine r(273).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/1247636 or -1?\nAnswer: 3\/1247636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39.136*5.\nAnswer: 195.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*p + 15 - 15 = -1167*p. Suppose 2*w = 5*y + 56, -6*y = -w - 2*y + 31. Solve 4*b + w - 1 = 5*v, p = -3*b + 2*v - 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 36, -0.3, 0 in decreasing order.\nAnswer: 36, 2\/5, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5469 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brxbpprnptrr. Give prob of sequence ppb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 22*c**2 - 7*c - 411. Let j(x) = -5*x**2 + x + 2. Determine -b(k) - 4*j(k).\nAnswer: -2*k**2 + 3*k + 403","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-126)\/13125*(0 + 45)*1 and -97\/10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17, -129, 628, 3, 1\/10.\nAnswer: -129, 1\/17, 1\/10, 3, 628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 250.47 times -34\nAnswer: -8515.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -475, -638?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66283 * 20.\nAnswer: 1325660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13222 (base 6) to base 3\nAnswer: -2210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -1\/7, 0, 196?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649\/68 + (1 - 0)\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -1797 - 483. Calculate the least common multiple of w and 2.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 5*u + 44, 4*u = 5*g + 2*u - 112. Suppose 0 = -4*f + g - 0. Does 14 divide (f - 2)*(0 + 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12874 divided by -1\nAnswer: -12874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnv when three letters picked without replacement from benvbqr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14*2\/6*(-1662)\/48475\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 12:28 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 11 = -0*i + 4*s, -i - 2*s + 5 = 0. Suppose -4*x - 24606 = 3*o - 4*o, -x = -4*o + 98364. Is i\/(-2)*o\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -308 + 308.4. What is the biggest value in w, -16, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, q: 8, c: 7, u: 1, h: 1}. Give prob of picking 2 q.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 0*g - 6*g**2 + 19\/8*g**4 - 2\/3*g**3 + 0. List the prime factors of u(2).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5. Let g = 0 + d. Suppose g = -5*p + 228 - 23. Calculate the remainder when p is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b*b**(-26))\/b**(-2\/5))**(10\/3))**(2\/47) assuming b is positive.\nAnswer: b**(-452\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(130) + 2*sqrt(130)))\/sqrt(10).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 428*v - 455.\nAnswer: 428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.04 + -0.04. Let t = -366.4 + 366. Which is the closest to -1\/2? (a) -0.8 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2. Let t(l) = -5*l. Let y(h) = -4*h + 2*h + 3*h. Let p(k) = -2*t(k) - 9*y(k). Determine p(d(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -27*x**2 + 3*x - 3. What is n(1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*t + 559 - 2731, -5*t = -g + 525. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.43 times 0.914\nAnswer: 4.96302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -l + 6. Suppose -l*c + 20 = c. Solve 2*a = -3*r - 0*a + 3, -c*a - 3 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -481*g**5\/5 - g**2\/2 + 1303*g - 516. What is the first derivative of v(u) wrt u?\nAnswer: -1924*u**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 1516.637?\nAnswer: 1516.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12122101101 (base 4) to base 15.\nAnswer: -232db0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/6*(-166)\/(-415)*36\/1\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64, 67, 70, 73, 76, 79?\n\"Answer: 3*g + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1852872 and 101682?\nAnswer: 16675848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -115*p**2. Let o(s) = 8*s - 20*s + 3*s + 7*s + 0*s. Give v(o(i)).\nAnswer: -460*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*d**6 - 42747*d**5 + 11*d**2 - 106858 wrt d?\nAnswer: 10680*d**3 - 2564820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-1 - -4))\/4. Let b(g) be the first derivative of 2*g - 4\/3*g**3 + 1 + q*g**2. Find the first derivative of b(u) wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*g = -61*g + 928 - 2160. What is the greatest common factor of g and 4832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15656*2.\nAnswer: -0.31312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 13*y + 12. Let q be (-3 + 57\/6)*2. Calculate the remainder when 58 is divided by m(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-253)\/44*(0 + 4). Put 4, r, 2 in descending order.\nAnswer: 4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5028 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308425 is divided by 33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*j + 101*j + 37*j - 25*j to the form v + g*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-280))\/((-32 + -46)\/(-468))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/1837968 and 61\/3675936.\nAnswer: 3675936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*x + 141 + 599, 5*z = 2*x - 296. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(1920) + 1*sqrt(1920))*-2)\/(sqrt(1210)*-2 - sqrt(1210) - sqrt(10) - (sqrt(10) - (sqrt(10) - (sqrt(160) + sqrt(10))))))**2.\nAnswer: 12288\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Suppose 4 + 0 = -2*z, -3*z - 2 = 2*i. Give h(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - (-2 - 126\/30). What is the nearest to 5\/8 in 4, 4\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46060354 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-2) + (3 - 123\/18))\/(3100\/400)\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 573 + -537. Solve -5*o = k - 56 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 473, 899, 1237, 1457, 1529, 1423?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -374726 by 2.\nAnswer: -187363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 447.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (-23 + 49 - 39 - (-6 + -1))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 3. Let j be (-7)\/((-15)\/r + 2). Calculate the greatest common divisor of j and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**7\/98 + z**6\/280 - z**5\/35 + 3*z**2 + 23. Let k(h) be the second derivative of c(h). Factor k(q).\nAnswer: 3*q**2*(q + 1)*(5*q - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:02 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18228 divided by 372?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 divided by 2418.\nAnswer: 83\/1209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 584*v - 584*v + 8*v**2 - 3 - 7 in the form j*v**2 + m + r*v and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-8) - (7 - (-267)\/(-24)). Determine n, given that -1\/3*n**i - 1\/3*n**3 + 0 + 1\/3*n**2 + 1\/3*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 3*b - 3, 4*y + 1 = -3*b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-2)*23\/((-1265)\/(-22))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 9944 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21597 and 345.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 129\/(-172) - 77\/4. Let q(d) = -d**3 - 5*d**2 + d + 7. Let j be q(-5). Let h be (l\/40)\/(j\/(-748)). What is the highest common factor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 1:52 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 11. Let 3*i**4 + 0*i + 0*i**2 - i**2 + 3*i + d*i**3 + 10*i**2 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**2\/2 + 548. Let t(p) = -66*p. What is k(t(r))?\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 191579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 2*m + 30, 2*v + m + 15 - 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*d**2*f**3*y**2 - 259*d**2*f**2*y**3 + 4*d*f**3 + 17*d*f**2*y**3 + 35*d*y**2 wrt d.\nAnswer: 222*f**3*y**2 - 518*f**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 0*z**2 + 24 + 0*z + 1\/3*z**3. Let x(c) = 20*c**2. Determine p(x(g)).\nAnswer: 400*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53.48 - 0.52. Let c = 28 + z. Let x = 26.011 + c. What is x rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 4*m**2 - 14*m**2.\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/28 + 24\/14. Let m = -35.156 - -31.7. Let w = m + 0.456. Which is the nearest to 0? (a) -5 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 1122101222?\nAnswer: 1122101232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -0.4, 0.2, 10, -3 in decreasing order.\nAnswer: 10, 0.2, -0.4, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5*r + 30 - 11, 16 = 2*w + 5*r. Let l be (9\/w - 4)*-7. Suppose l*f - 2*f = 27505. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7061?\nAnswer: 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7189029607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 155162 and 398988.\nAnswer: 2792916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**4\/4 - 4*t**3\/3 + 3*t**2 - 4*t - 1. Let k(i) = 3*i**2 + 3 - 16*i**3 - 5*i + 9*i**3 + 8*i**3. What is -5*b(c) - 6*k(c)?\nAnswer: -c**3 + 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7 + 5 = 0. Suppose 0 = 5*j + k*p - 186, 2*j + 5*p + 14 = 3*j. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**6\/80 - 3*o**5\/40 - 9*o**4\/16 - 5*o**3\/4 - o**2 + 2. Factor c(a).\nAnswer: 3*(a - 5)*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.2 * -4\nAnswer: -116.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 15*w**2 + 14*w + 5. Let v be q(-14). Sort -5, v, 7.\nAnswer: -5, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 4 + (21 - 13) - (6 + -28).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 v, 1 b, and 1 i when four letters picked without replacement from viyyybibbbbvbbbybbyb.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 - a57?\nAnswer: -a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17\/5, 3\/8, 0.07, -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 40 = 11*w. Let l be 2\/(-5)*(-8)\/w. Which is bigger: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -2233014?\nAnswer: -2233015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 387 and 15781?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155985 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, j: 3, o: 1, d: 1, i: 6, q: 3}. Give prob of sequence joj.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 5*d**4\/48 - 7*d**3\/24 + d**2\/4 - d - 3. Let h(o) be the first derivative of m(o). Factor h(r).\nAnswer: (r - 1)*(5*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-72) - (-5)\/2)*(2 - -3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, 1 y, and 1 m when four letters picked without replacement from {w: 2, y: 3, n: 5, m: 3, p: 3}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(304) + 2.\nAnswer: 2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6408?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - 2*z**2 + z**2)*(747 - 2046*z + 754 + 2045*z).\nAnswer: -5*z**3 + 7505*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**3*k**2*u + 338*f**3*k*u**3 + 2*f**2*k**2*u**3 - 2*f**2*k**2*u**2 - 5*f**2*k*u**2 + 31*k**2 wrt f?\nAnswer: 30*k**2*u + 2028*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 4) + (0 - -3). Suppose f - z = -2. Let w(d) = 2*d**2 - 1 + 2 - f. Let r(x) = 3*x**2. Determine r(w(s)).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/290 and -63\/228104372.\nAnswer: 1140521860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 60, 235, 620, 1317, 2428, 4055?\n\"Answer: 17*h**3 + 3*h**2 + 47*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12221121221221 - 0?\nAnswer: 12221121221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 712672223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 40, -5, 0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z - 8. Let k = z - 6. Let x be (-2 - k) + 1 + -1. Solve 3*i - 2 = x*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 524 + -518. Suppose 11*n - 1865 = g*n. What are the prime factors of n?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3838*c**4 - 3*c**3 - 3*c**2 - 3*c - 800. Let s(k) = -3833*k**4 - 4*k**3 - 4*k**2 - 4*k - 801. Let x(w) = -4*m(w) + 3*s(w). Differentiate x(q) wrt q.\nAnswer: 15412*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 73 = 67 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34313370?\nAnswer: 2, 3, 5, 7, 13, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 560, 1113, 1662, 2207?\n\"Answer: -2*n**2 + 559*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 423 - 1532 = 0. List the prime factors of t.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 260, 255, 248, 239, 228, 215?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4*h + 197*h**2 - 198*h**2 + 0*h as d*h**2 + n + s*h and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 17128916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/168*(-11584)\/(-14480)?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.303 to one decimal place.\nAnswer: 41.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 581, 1163, 1745, 2327, 2909?\n\"Answer: 582*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(1800))\/(sqrt(12)\/(-4*sqrt(18))))**2.\nAnswer: 2764800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.32 + 0.48. Let n = t - -0.3. Let v = -6 + n. Sort -4, 2, v in descending order.\nAnswer: 2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1127\/15 + 226\/3. What is the third smallest value in 0.5, n, -1\/10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 7*c**2 + 7*c - 6. Let s be n(-8). Suppose -s*o = 68 - 0. Let p be -3 - (o\/(-12))\/(-1). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, a: 1, c: 5, f: 1, b: 2, o: 7}. Give prob of picking 1 o, 1 b, 1 h, and 1 f.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**4 - f**2 - f - 1. Let y(d) = 2*d**5 + 5*d**4 + 5*d**2 + 7*d + 5. Let i(l) = y(l) + 5*z(l). What is the second derivative of i(j) wrt j?\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37, 33, 27, 19?\n\"Answer: -h**2 - h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4\/d*d)**50*d**19*d*d**(-13) assuming d is positive.\nAnswer: d**207","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 1)*3 - -3*sqrt(147)*5 - 4*(3 + 1 + sqrt(147) + 1))**2.\nAnswer: -3332*sqrt(3) + 29101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -3*s**2\/2 - 4*s + 7. Let u be q(-12). Let m(p) = -2*p + 160. Let x be m(0). Calculate the highest common divisor of u and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 119, 1, 6, 3 in descending order.\nAnswer: 119, 6, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2 - x. Let c be d(1). Suppose n = -0*n + c. What is the second biggest value in -2, -5, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5859)\/(-7) - 7 - (0 + 0). What is the highest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 161, 269, 345, 395, 425?\n\"Answer: n**3 - 22*n**2 + 167*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -14. Put 1\/6, 0, x in ascending order.\nAnswer: 0, 1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3\/47, 0.4.\nAnswer: -3\/47, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 12*b + 20. Let l = 848 + -743. Suppose 17*w + l = 10*w. Calculate q(w).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17*74\/(-4403))\/((-3)\/(4*105)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/2 - ((-2526)\/12 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 113, 0, 15, 11 in decreasing order.\nAnswer: 113, 15, 11, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/56*56\/92*(-4)\/(-7).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*f**4 - 3 + (0*f**4 + f**4 - 3*f**4)*(4 - 6 + 4) - 4 + 4 - f**4 + (5*f**2 - 4*f**2 - 6*f**2)*(367 - 367 + 61*f**2).\nAnswer: -308*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and 152.454488.\nAnswer: 143.454488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6811199 or 6811175?\nAnswer: 6811199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 71*v + 19. Let d be y(0). Sort -3, d, 2, 7 in ascending order.\nAnswer: -3, 2, 7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 4 + -7)*-7. Suppose 5*p = 9*p + v. Let h be 14\/(-49) - 51\/p. Solve o + 10 = 3*k - 3, 3*k - h = 4*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1972, -1972, -1974, -1978?\n\"Answer: -d**2 + 3*d - 1974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1*k)**(3\/28)\/(k**(2\/11))**(-16))**(-5\/14) assuming k is positive.\nAnswer: k**(-2405\/2156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 7:13 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -42. Let d = -0.1 + 0.1. What is the closest to -2\/5 in d, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*m**3 - 7*m**2 + 1 - 27*m**3 + m - 10*m**3 to z + p*m**3 + d*m**2 + l*m and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 10*y**3 - 10*y**4 - 200*y**2 + 369*y**2 - 171*y**2 in the form o*y**3 + b + j*y + q*y**4 + g*y**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 1:19 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 778, 776, 774, 772?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.759935 nanometers to kilometers.\nAnswer: 0.000000000009759935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 302 and 99509?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -12*f - 10. Find the first derivative of l + 15*l - f + 3*l - 10 wrt l.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 59386100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-175483)\/19393 - 9*-1?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 6*b**2 + b + b**4 + 3*b**2 + 4*b**3 - 5*b**3.\nAnswer: (b - 2)*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 331, -1, -4, 2, 118, -3.\nAnswer: -4, -3, -1, 2, 114, 118, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - 5*y**2 - y**2 + (48*y + 13*y**2 - 48*y)*(3 - 1 + 0) + (-y - 2*y + 2*y)*(y - 1 + 1).\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 166261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2713865689 and -233268?\nAnswer: 2714098957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 447 = -1213. Round r to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 - 18. Let a = v - -146. Let n = a + -23.84. Is n greater than -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/6 - 0)*2. Let t be -3 - (i + 14\/(-6)). Sort 0.3, -0.3, t in descending order.\nAnswer: t, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/22 - (-369600)\/3388 is divided by 94.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 90 = x - 2*q, 3*q = x - 25. Suppose x = -4*r + 5*r. Calculate the remainder when 65 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737347553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 + 17*o**2 - 5*o - 7. Let r(p) = p**3 + 8*p**2 - 2*p - 3. Calculate 4*i(f) - 10*r(f).\nAnswer: -2*f**3 - 12*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8589 - -8603 - (11 - 1 - (-2 + 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.6810721 rounded to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*i - 163 + 281 - 149 in the form x*i + u and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -85 (b) 2646 (c) 2\/9 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q - 9 - 11 + 20.\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 122022022022100 (base 3) in base 4?\nAnswer: 203011213002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 292 in 25\/6, -3.4, -5, 1?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/65*(-110)\/4*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946*i + 947*i + 25 - 1895*i.\nAnswer: -2*i + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*2*3 + -2*(sqrt(77) - (sqrt(77)*-1 - sqrt(77))))\/(sqrt(7) + (sqrt(70)*1)\/sqrt(10) + sqrt(7) + sqrt(7) + -2*sqrt(343))*-1.\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/14)\/((-33)\/4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34726*b**3 + 2*b**2 - 44*b + 124 wrt b.\nAnswer: 208356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.7 (b) -2 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 71846 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -259 - -46621\/180. Let f(a) be the third derivative of 0*a**3 + 0*a - 8*a**2 + s*a**5 - 1\/72*a**4 + 0. Factor f(h).\nAnswer: h*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -205 in 0.005, -2\/15, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.2, 21.2, 12, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l. Let r(v) = -v**2 - 266. Determine r(z(k)).\nAnswer: -9*k**2 - 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3251*n + 120903 = 3*d + 3248*n, n + 1 = 0. What are the prime factors of d?\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {s: 7, e: 12}.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - -51. What is the highest common divisor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17796 divided by -12\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 409 divided by 35795\nAnswer: 409\/35795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132 - 131.9. What is the nearest to z in 5, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/25)\/(-56 + 566\/10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1600 divide 180387947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10 = -0*a. What is the biggest value in 0.1, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3772 and 50269444?\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -185.13 - -0.13. Let g = 382224.9 + -382225. Put g, b, -2\/9 in ascending order.\nAnswer: b, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*-2*6*(sqrt(68) - (sqrt(68) - sqrt(68)*-1) - sqrt(68)))\/((sqrt(40) + sqrt(360)\/(sqrt(45)\/sqrt(5)))\/sqrt(10)*-6).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80196.\nAnswer: 2, 3, 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 5, 3, -5\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 9*a - 5. Let f be h(8). Let u be (-2 + 1 + 0)\/(38\/(-152)). Sort u, -5, f in ascending order.\nAnswer: -5, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648401 is divided by 310.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1806063 - 1.\nAnswer: -1806064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24688 is divided by 11821.\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*a*n**2 - 746*a - 72*n**4 - 2*n**3 - 6 with respect to n.\nAnswer: 14*a*n - 288*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 7, 1\/9, 5, -827?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334258010.\nAnswer: 2, 5, 59, 566539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(-3*3\/(-234))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -125*z**3 - z**2 - z - 1. Let m be o(-1). Let r(b) = -2*b**2 + 3*b - 20. Let i be r(6). Let p = i + m. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)*w**(-5)*w**(3\/5)*w**(1\/2)\/w*w*w)**14 assuming w is positive.\nAnswer: w**(-1967\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 + 2*c - 1. Let o be d(1). Let a(p) = p. Let t be a(o). Let m be t\/(-6) - (-20)\/15. Solve m*s - 28 = 2*q + 3*q, -2*s = 2*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4*u + 2*u - 395, 5*u + 218 = 3*d. Let g = 16847 + -16819. Calculate the remainder when d is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**3*u - 3*h**3 - 3*h**2*u + 3701*u - 864 wrt u?\nAnswer: h**3 - 3*h**2 + 3701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61180 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 1223*d**3 + 1873*d**3 - 652*d**3 + 4 - 3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-4)*-1 - (-12)\/48. Let m be 6\/((-2)\/(-1))*(j + -3). Let h be (2 - 40\/18) + (-3082)\/m. Calculate the highest common divisor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 1 - 253\/(-77). Factor 2\/7 + 4\/7*l + q*l**2.\nAnswer: 2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/24 and (-5)\/(-30) + -25*(-16)\/(-504).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.7 + 4.76. Let j = 0.059956 - z. Round j to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 7:31 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + -23. Let r = d - -33.0000043. What is r rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*q - 18. Let t(o) = -o**2 - 3*o + 6. Let c be t(-4). What is the greatest common divisor of q and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-1)\/5)\/(2\/(-20))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4. Let a be 25*(r - 2 - -3). Let t = 22 - a. List the prime factors of t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 154*(6\/4 - 1). Suppose -4*p + m + 71 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -10908895?\nAnswer: -1\/10908895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 165\/25 + -6 + (-988)\/1155. Let v = -1\/33 + h. What is the fourth biggest value in v, 1, 4, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/2722915 and 77\/2570?\nAnswer: 5445830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9917 or -9916?\nAnswer: -9916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.564811l?\nAnswer: 6564.811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(480))\/(-1*sqrt(600)).\nAnswer: -4 - 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose 0*o = -i*o + 4. Solve 0 = x + o*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = -250 + 190 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**5\/4 + v**4\/12 - v**2\/2 + 5*v + 10. Give j(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 2*z**2 + 2*z. Let r(v) be the first derivative of v**4 - 2*v**3 - 7*v**2\/2 + 6. Let u(w) = 7*h(w) + 2*r(w). Factor u(k).\nAnswer: k**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.53036 centuries to millennia.\nAnswer: 1.853036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 10864710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -26*u + 20. Let q be 2\/36*-4 + 2\/9. Suppose -6*a + q*a = 102. Let t(g) = 9*g - 7. What is a*t(v) - 6*l(v)?\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239 or -240?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4992 divided by 78\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(729)*-3)\/((sqrt(3) + sqrt(75))*-6).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 980\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 m, and 1 u when four letters picked without replacement from mmmumzmmmu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-2024.\nAnswer: 202.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3 + 71952*w**2\/7 - 1994862*w\/7 - 2066800\/7 = 0.\nAnswer: -5167, -1, 200\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65680 and 2995008?\nAnswer: 14975040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3822*d - 13 = 3826*d + 5*r, -d - 3 = r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005893381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 93 = 3*z, 3*z + z - 137 = d. Suppose -3*v = z - 197. Let a = v - 79. Round a to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549 a factor of 60001308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 796*(0 - (-3)\/((-18)\/(-141))). Let o = 186706 - q. Round o to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -12.5. Which is the nearest to 1? (a) l (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) 1 (b) -2\/21 (c) -166 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 251, -79, -1\/3 in increasing order.\nAnswer: -79, -1\/3, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1\/9, 2\/7, 0.046?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -7, -11, 1\/2, 0.35, -10, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23115*v - 46231*v + v**2 - 950 + 23115*v to u*v + m + q*v**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 3 (c) -2\/5 (d) 1\/4 (e) -14464 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 22. Suppose -36 = -7*m + n*m. Calculate the greatest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/843 and 23\/(290835\/113364) + -9.\nAnswer: 4215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.2 + 2.3. What is the third biggest value in 0.3, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107 - 35 - 32 + 4*m**2 - 2*m - 36 to the form b*m**2 + t*m + g and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19407 by 1587.\nAnswer: -6469\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*y - 300*y - 252*y.\nAnswer: -119*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -7. Let b be 64\/11 - (-4)\/22. Let t = b + -11. What is the biggest value in k, -4, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 62765 - g - 113249 + 3*g. Let y be s(0). Let x = y - -436014. What is x rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**6\/120 - v**5\/20 + v**3\/3 - v**2. Let w(r) = -r**3 + 20*r**2 - 23*r + 79. Let x be w(19). Determine g(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 267231*m**6 + 710085*m**2.\nAnswer: 32067720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 3*a**2 - 17 - 2*a**2 - 2*a**2 + 2*a**2 + (-a + 3*a - 4*a)*(0 + 2*a + 0) - 28*a + 2*a**2 + 28*a)*(5 - 5 - a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26620*f**2*m**3 + 6*f**2*m - 42*m**4 + 1273*m + 1 wrt m.\nAnswer: 159720*f**2*m - 504*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: -3427820 divided by 62324\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - r - 7 + 1 = 0, 3*g - 6 = -5*r. Suppose -g*m = -7*m + 10. Put 4, m, 1 in descending order.\nAnswer: 4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 269, 1119, 2539, 4529, 7089, 10219, 13919?\n\"Answer: 285*y**2 - 5*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + z - 1. Let u be d(2). Let y be 1*((-1 - -4) + -3). Suppose y = 7*c - 3*c - 364. Calculate the highest common divisor of u and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(7308\/(-504)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 893917, 2\/7, 0.02.\nAnswer: 0.02, 2\/7, 893917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(7\/5)*t)\/t)*t*t*t)\/t**(-4)*t**20\/((t\/(t\/(t\/t**6)))\/t*t))**(-2) assuming t is positive.\nAnswer: t**(-306\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242732691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 51683.91 nanoseconds?\nAnswer: 0.05168391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1278822 and 19519?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**3\/3 - 2*q**2 - 1534. Let u(d) be the third derivative of d**5\/30 - 3*d**2. Determine u(n(z)).\nAnswer: 2*z**4 - 16*z**3 + 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k**2 - 4*k**2 - k**2)*(-1 + 1 + 1) + (5*k**2 + 0*k**2 - 3*k**2)*(-5 + 1 + 2) to the form q*k + u + f*k**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 + 8*r - 23. Let y(n) = -2*n**2 - 4*n + 11. Let j(m) = -9*y(m) - 4*z(m). Let s(u) = -2*u**2 - 3*u + 6. Determine -3*j(f) - 4*s(f).\nAnswer: 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.69 + -3.59. Sort 0.4, d, -1.6 in descending order.\nAnswer: 0.4, d, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 211\/5 - 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7636398 + -9?\nAnswer: 763638a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.022307*-1.\nAnswer: 0.022307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 27841.3 nanometers?\nAnswer: 0.0000000278413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 248, 377, 488, 575, 632, 653?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 65 = 88*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 68356.50295 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.181006, 0.4, 4, -2\/13, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/18 - (224\/(-72))\/(-14). Suppose -2*p = -4*c - 6, 0 = -5*p - 4*c + 12 - 11. What is the nearest to 1\/6 in f, -5, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2145)\/(-110))\/(36\/(-8))\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:17 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/8 and -23\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/(-20))\/((-1339)\/(-2678)).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14743 - 15002.9. Round j to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**5\/60 + k**4\/6 + 3*k**3\/2 + 121*k**2. Give g(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/25 - 13\/50. Let r = -427 - -612. Let d = r + -184.8. Which is the third biggest value? (a) d (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 46, -17, 16, -185 in ascending order.\nAnswer: -185, -17, 3, 16, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 252081101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8075 and 1615?\nAnswer: 8075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1636*k - 1632*k = -2*j - 10, 5*j - 3*k = -12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((0 + 2)\/(-8)). Let g(q) = 4 + 1 + z*q + 1. Let i(f) = -2*f - 4. Let u(h) = 11*h + 13. Let v(c) = 2*i(c) + u(c). What is -5*g(l) + 6*v(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55, 120, 181, 232, 267, 280?\n\"Answer: -i**3 + 4*i**2 + 60*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7012, 8244, 10278, 13108, 16728, 21132?\nAnswer: 26314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n - 5*n + 7*n)*((-3 - 3 + 5)*(6 - 44 - 15) + (-3 - 2 + 3)*(0 - 3 + 5) - 3 + 1 + 4 - 1 + 2 + 2 + 1 - 3 + 1)*(2 - 3 - 1)*(-2 + 3 - 2).\nAnswer: -530*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*h - 18 - 5, -1 = 2*h - z. Let c(q) = 2 + 2*q - 4 + q**3 + 2*q**2 - 3*q. Give c(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-27 + 18 - -14 - (25 - -3))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*i - 1310 + 426, 0 = -4*i + 3*k + 701. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a44b (base 16) to base 7\nAnswer: -625455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1149, 2222, 3295, 4368, 5441?\nAnswer: 6514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37309.14799888 + 37313.848. Let u = a + -4.7. Round u to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 77926?\nAnswer: 77926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26\/3 + -9. Let t = 3.3 + 3.5. Let h = -1.8 + t. Which is the third smallest value? (a) f (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mee when three letters picked without replacement from {m: 4, e: 7}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28151*h + 13989*h + 13684*h.\nAnswer: -478*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f - 25 = 31*f. Which is the smallest value? (a) f (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -390*q**5 - 941*q?\nAnswer: -7800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*d + 77570 + 227*d - 670*d - 77569 + 252*d.\nAnswer: 38*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37652 or -37654?\nAnswer: -37652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -5 - 0\/(-1). Let f = h + -3. Suppose 0*w = -f*w. Solve -5*r = 4*a - 5*a - 5, w = -a + 3*r - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547 a factor of 643552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 - 20*y**2 + 28*y - 12. Let g be (-1)\/3 + 282\/9. Suppose t + g - 90 = 0. Calculate the remainder when t is divided by m(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**3 - 5*p**2 - 8*p + 6. Let g(f) = -f**2 - f + 1. What is 5*g(x) - n(x)?\nAnswer: -7*x**3 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = n + 24. Let j(b) = -n*b - b**2 + 9*b + 12*b. Let w(f) = 16 - 17 - 3*f + 19*f. Determine j(w(v)).\nAnswer: -256*v**2 + 32*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1)\/((-2)\/(-4)). Solve 0 = -w*b + f + 17, -9 = -2*f - f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.03 - -0.03. Let z = s - -31.876. Let c = -0.176 + z. Put 5, c, 4\/3 in ascending order.\nAnswer: c, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4 + 199*u**3 - 3331*u**2 - 15951*u - 12420 = 0 for u.\nAnswer: -3, -1, 23, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j, 6 = -b + j + 13. Suppose -b*n + 22614 = 200. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -33. Let d = l - 65\/2. Find the common denominator of 47\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 4)\/1 - -2. What is the remainder when 4 is divided by (k + 1 - -2) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 - 28*v - 40 = 0 for v.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.406 - 15.946. Let s = 14 + b. Let x = -0.54074 - s. What is x rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 40 = -4*q. Let f be ((-268)\/q)\/(1\/2). Let h = -45 + f. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let v(b) = -4200*b + 12. Let n(w) = 5*m(w) - v(w). Is n(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*((190*q - 56*q + 27*q)*(-1 - 4 + 3) + 24*q + 2 + 0 - 33*q).\nAnswer: -331*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-6 + -5)) + 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -57\/5. What is the biggest value in 1\/2, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 5*j + 3*j**2 - 19*j**2 - 24*j**2 - 4*j - 11 as t + n*j + w*j**2 and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 12*a - 5. Let d be z(5). Suppose 0 = p - j - 47, 3*j = -0*j - 15. Suppose 4*l + 3*n = p, 3*l - 2*n = d*l - 22. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(0 - 3\/(-6)). Suppose -k = -3 + w. Differentiate -r + r - r + k wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 11*y = 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (554\/(-22) - 0) + (-2)\/(-11). Let d = z - -34. Find the second derivative of d*c**2 + 4*c**2 - 16*c + 19*c wrt c.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 3*n**2 - 4*n - 4. Let y be a(4). Suppose -5*m = 5*v, 2*m - 8 = -m + 5*v. Let c be 2\/(m + 1) - -2. Put -3, y, c in increasing order.\nAnswer: y, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 + 1124\/(-12). Let n = -88 - k. Let y(l) = l**2 - 3*l + 7. Give y(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 4*i + 7. What is m(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.25 - 2.606. Let c = -0.867 - t. Round c to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 2. Let r be f(2). Let h be 1\/r - 113\/(-4). Suppose 5*m - 110 = -5*x, 4*m + h + 20 = 4*x. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 4*c**2 - 2*c + (5*c - c**2 - 5*c)*(1 - 1 + 2) + 0*c**2 - 2*c**2 + 5*c**2 as f*c**2 + p*c + i and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by -2?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 21*x - 46. Does 3 divide b(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 38*l**2. Let w(j) = j**2 - 2*j - 13. Let v be w(4). Let p be 6 + v + 5 + (-1 - 3). Let h(m) = 5*m**p - 7*m**2 + 0*m**2. What is s(h(u))?\nAnswer: 152*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -126*h**2 - 2202?\nAnswer: -252*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1076*s + 1025*s + 8568. What is the remainder when s is divided by 36?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83568 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 26.9133 micrometers?\nAnswer: 26913.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 12:05 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/3)\/(3 - 6 - -2). Suppose -4*n + 3*w + 1322 = -918, 0 = -3*n + v*w + 1680. Let d = n - 6166\/11. Do 3 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpqhhmxmhmhshxqhh. Give prob of picking 2 m and 1 s.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 + 0)*(b - 4*b + b).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -2*y - 6, -3*y - 11127*i + 11122*i = 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40.1 - -40.4. Which is the closest to -1? (a) i (b) 4\/3 (c) 7\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*1*sqrt(7)*2*-4 - (sqrt(14)\/((sqrt(6) - sqrt(24))\/sqrt(3)) - (sqrt(700) + -1 + -4))**2.\nAnswer: -867 + 86*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4 + 9\/18. Suppose -9*r + 11 = 2*r. Suppose -r = -4*t - 21. Put b, 5, t, -1 in descending order.\nAnswer: 5, b, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 125912291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-15))\/(2\/(-15)). Suppose -b*d - 4 = u, 3*u - 4*d - 26 = -0*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7821 and 396.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 753 (b) -0.3 (c) 2\/13 (d) -1 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 66 - 24. Let j(b) = -b - 3. Let p be j(-6). Solve -3*u = -2*a - 8, -p*u + 6 = -5*a - z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6419 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3058, 11, 0, 6, -5.\nAnswer: -3058, -5, 0, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 c, and 1 z when three letters picked without replacement from csrrpzp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 903 and 3010.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -27?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z + 196. Let d(q) = 29*q - 3086. Calculate the remainder when d(113) is divided by z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 4*q**3 + 3 + (-5*q + 3*q + q)*(0*q**2 + 0*q**2 + q**2).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 d, and 1 b when three letters picked without replacement from {b: 8, d: 8, n: 4}?\nAnswer: 64\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 4*o - 6*o**2 - 5*o. Let r(q) = -q**2. What is r(x(z))?\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 256 = 163*q - 164*q, 0 = -5*n + 2*q - 112 + 29 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162555 by 57.\nAnswer: 54185\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5968791 by -1.\nAnswer: -5968791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 250 and -0.87?\nAnswer: -217.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32048175 to the nearest integer?\nAnswer: 5661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.592 + 1.74. Is u smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 6, v: 1, o: 7}. Give prob of sequence ojv.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17 - 12 - -1) + -2 + -2 + 1. Solve s*g = 3*j + 6, 0 = 2*j + 8*g - 7*g - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {o: 1, t: 3, e: 2, h: 13}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + x - 68. What is the greatest common divisor of 51 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 167?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 4:35 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(7200) + sqrt(7200) - sqrt(7200))\/sqrt(10))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2494.5 rounded to the nearest 10?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112696 - 69101 = 109*j - 220403. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -z - 12, 17*z - 4*r - 16 = 13*z. Put 7, -1, z, -4 in decreasing order.\nAnswer: 7, z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 21 - 181 = -5*s, s + 5*f - 3 = 0. Solve 3*x = 2*o + x + 4, 0 = 5*o + x + s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 221578821741088\nAnswer: -221578821741093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 + -35493.9419.\nAnswer: -35494.1619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243 and 3539511?\nAnswer: 31855599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1329768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6222 is divided by 799?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2544*z - 556*z**2 - 1272*z - 1272*z to x*z + w + d*z**2 and give d.\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 892\/45?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38168685.\nAnswer: 3, 5, 167, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -15*l + 3. Let s(m) = 24*m**2. Determine s(q(d)).\nAnswer: 5400*d**2 - 2160*d + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrplgglllpllppgal. Give prob of picking 1 r, 1 a, and 2 g.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 195, 395, 533, 579, 503?\n\"Answer: -5*c**3 - c**2 + 238*c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -717\/14 + 103\/2. Let d = -2917\/11 - -265. Which is the nearest to -0.1? (a) n (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 9:23 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 2 - 2*t + 0*t**3 + 0*t**5 + 0*t**4 - 1\/15*t**6 + 0*t**2 + 1\/21*t**7. Let d(y) be the first derivative of c(y). Factor d(q).\nAnswer: 2*q**4*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 7*x = -22*x + 5*u + 77, -u + 20 = -5*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from ddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2252 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -369 + 528. Let s = -107 + x. Calculate the greatest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**8\/140 + 5*d**4\/8 + 5*d**3\/3 + 7*d. Let s(f) be the second derivative of k(f). Differentiate s(p) with respect to p.\nAnswer: -48*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/7 (b) -1\/20 (c) -0.4 (d) -4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*v = v - 8, -v - 14 = 5*q. Let m be (q + -13)*24\/(-9). What is the greatest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 30*x**2 - 5*x + 7. Let z(i) = -20*i**2 + 3*i - 5. Let m be 1 - (-3)\/(-2)*4. Let q(a) = m*u(a) - 7*z(a). Let q(v) = 0. Calculate v.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 12*h = 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 244 + 233 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 + 9*g**2 - 24 - 1 + 1 + 3*g**2 + (-2 + 1 - 1)*(-2*g**2 + 3*g**2 - 2*g**2).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2057)*6 + -5)**2 + -1)*4.\nAnswer: 2640*sqrt(17) + 296304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 246110252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 235675 or 234903?\nAnswer: 234903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 15*c + 2. Determine k(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84104 + -162 + 17\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2600*h**3 + 24877.\nAnswer: -7800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 5*s - 5*s)*(5*s - 5*s + 14*s**2).\nAnswer: -112*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 960, -2, -1403, 6 in decreasing order.\nAnswer: 960, 6, 4, -2, -1403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 452 * -0.1.\nAnswer: -45.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133907 is divided by 66950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 3. Let c be t(2). Suppose 5*j - c = 9. Suppose 0*f + j*b = f, 4*f = 4*b. Put f, -4, 1 in decreasing order.\nAnswer: 1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.5 + -13.596. Round t to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 1. Let b be p(-2). Is 24 a factor of ((-12)\/3 - -63) + b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 7*i + 2. What is m(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 3. Let y be h(5). Suppose -c - 5 = -y*c. What is the third derivative of -5*p**2 + 0 + 6*p**c + 0 + 6*p**2 wrt p?\nAnswer: 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29513 is divided by 461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36042400 or 36042402?\nAnswer: 36042402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one halves of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -20*i - 199. Determine g(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, t: 5}. Give prob of picking 2 t and 1 l.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*d**2 + 2 - 9*d**2 + d**2 + 2*d**2 + (-4*d - 4*d + 6*d)*(0*d + 3*d + 2*d) as k + u*d**2 + p*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-186)\/992)\/(2\/8*(-10)\/(-5))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.089 + -0.189. Which is greater: 0.39 or k?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 414*l - 2481. Let h be q(6). Solve -h*f + 6 = -3, 3*z - 3*f + 9 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232 - (-14 + -110) - -61.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7315.562g to micrograms.\nAnswer: 7315562000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - k**2 - k + 1. Let m(i) = -i**3 + 2*i**2 + 2*i - 2. Let g be m(2). Let o be y(g). Differentiate -6*r**4 - 6 + o*r**4 + 2 wrt r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*g*i**3*k**3*u - g*i**3*k*u - 2*g*i**2*k**3*u + 2*g*i**2*k**2*u + 4*g*i**2 + 2*g*i*k**3 + 2*i**2*k**2 wrt i?\nAnswer: 192*g*k**3*u - 6*g*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**6\/120 + w**5\/15 - w**4\/4 - 2*w**3\/3 - 24*w**2. Determine t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 848\/243, 1, -0.3, 35, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002966 to 6 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 11021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 12*r**2 + 2*r + 130 - 130. Let c(b) = b. Calculate y(c(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4584*n**4 + 2539540*n**3 - 16120*n**2 - 10158160*n - 8864 = 0 for n.\nAnswer: -554, -2, -1\/1146, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 64675 = -2*u - 64654, 3*g + 123 = 21*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0608 and 8224.\nAnswer: -500.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51, -108, -169, -234, -303, -376, -453?\n\"Answer: -2*z**2 - 51*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -8) + 6 + 1 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {s: 5, o: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 10. Which is the closest to -2? (a) 2 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.47444+3\nAnswer: 3.47444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -422 + 426. Suppose -n*v + 8*x = 11*x - 3, -5*v + 1 = x. Let 1\/8*p**2 + v + 0*p = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 497519908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 5, 804 in increasing order.\nAnswer: 5, 91, 804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/(-2))\/((-62)\/124). Let h(n) = -3*n**3 + 2*n**2 + 2. Let w(u) = -11 + 6*u**3 + 9*u**3 - 2360*u - 11*u**2 + 2360*u. Give z*h(i) + 2*w(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - (-3*2*sqrt(77) - sqrt(77))))\/((sqrt(112) - sqrt(28)) + sqrt(28) - sqrt(7)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -7. Let x be 1170\/1760 - (-3)\/(990\/(-240)). What is the nearest to 1 in -1, x, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1223860 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4686888538.\nAnswer: 2, 17203, 136223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6734 and 105.\nAnswer: -707070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 18*z. Let a(o) = -19512*o. What is a(i(w))?\nAnswer: -351216*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1587)\/(-51) + (-2)\/17. Let h = 15 - p. Let v be -68*((-52)\/h + -4). What is v rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 807494317743.\nAnswer: 807494317743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 - 12*u**2 + 4*u + 7. Calculate c(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23200627?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:12 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -8. Suppose 9 = 3*y + h. Let i(v) = -v**3 - 7*v**2 - 3. Let z be i(-7). Which is the third smallest value? (a) y (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6880 + -7267. Which is smaller: -388 or w?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in six fifths of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 31 = -2*n, -731*g = 2*n - 736*g - 41 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(-3) + 5\/2)*-11558 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-13 + 1078\/84)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 42*t - 49*t + 11*t.\nAnswer: -78*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -4 (c) 685 (d) 361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001100110011 (base 2) in base 3?\nAnswer: 2022221002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 19*g + 39 - 60 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 883734 divided by -147289.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.071 and 0.1.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 5*p + 9. Let t be o(-6). What is the derivative of -10 + 78 - 531*z + 524*z - 2*z**t wrt z?\nAnswer: -6*z**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*s**5 + 179*s**5 - 92*s**5)*(6 - 10 - 8).\nAnswer: 48*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7310 - -5203?\nAnswer: -2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*m - 45. What is the greatest common factor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0255035 to 4 dps.\nAnswer: -0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780766187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 21*y**2 - y + 1. Let l be t(1). Let x = 33 + l. Suppose x = 3*h - h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33340086 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18342 and 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v - 192 = -35*v. Let l be 1\/(-2)*(-4 - 8). Suppose -78 = -l*c + v. What is the greatest common divisor of 136 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 4*u - 16. What are the prime factors of i(-9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-28)\/(-42) - (-790)\/3 is divided by ((-35)\/20)\/(2\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44e2 (base 15) to base 5.\nAnswer: -431422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14302 is divided by 73?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*q + 5 = -0, 17 = -5*u + 2*q. Let j(g) = g**3 + 5*g**2 + g + 5. Let o be j(u). Suppose h = -5, 5*k + o*h = h + 300. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3 (b) 0.3 (c) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((364\/154)\/(-13))\/(-2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2522 and 0.1.\nAnswer: -252.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1351122 centuries?\nAnswer: 1.351122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*l**3 - 574584*c**2*l**2 + 2*c**2*l + 121*c**2 - 190*c*l wrt l?\nAnswer: -12*c**2*l - 1149168*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 627?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828404 is divided by 2990.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 435 + 3*h - 220 - 218 + (-5 + 2 + 2)*(3*h - 4*h - 4*h).\nAnswer: 8*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 18*t + 8. Let j be v(-17). Let s = 25 - j. Suppose 0 = -3*o - s*o + 105. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80150 = -889*r + 882*r. Let u be r*16\/(-3 - (-93)\/30). Round u to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93078*g**3 - 209597*g**2?\nAnswer: -558468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17418179\/176337 - 2\/176337. Let v = q - 99. What is the second smallest value in -0.5, -1\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*-1 + (17 - -7). Let x be ((-4)\/u)\/((-2)\/(-10)). Is 1\/4 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 1*4\/(-2). Suppose -5*u - q + 126 = l, -5*q = -0*u + 2*u - 55. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/596, 2\/9, -0.25, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/6 + (-1041)\/(-9)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2242*a*n*q**2 - 19667*a*q + 3*a - 13*n*q**2 + 2*n - 2*q**2 wrt n?\nAnswer: -2242*a*q**2 - 13*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4 = -4*o - 31, t = -2*o - 7. Let n = -2 - -2. Let k(a) = -a - 7. Let r be k(-4). Sort t, r, n in descending order.\nAnswer: t, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -667\/4 - -160. Let x be ((-6)\/7)\/(30\/(-140)). Suppose -v = 4*w + 33, -x*v + 5 = -2*w - 7. Is i smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -24*t**2 + 8*t - 1. Let d be y(1). What is d rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 12:46 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 627 = -1917. Let v be (l - (2 + -1))\/(22\/(-33)). Solve -12*c + 11 + 567*c**3 - 14*c**2 + 12 - 256*c**2 - v*c**4 + 1 = 0 for c.\nAnswer: -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/14 and -93\/11572?\nAnswer: 81004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 494735963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*m - 10*m**2 + 1441627 + 9*m**2 - 1441627.\nAnswer: -m**2 + 70*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-2))\/(-3) + 20\/8. Let j be -5 + -1 - ((4 - -5) + -14). Which is the nearest to v? (a) 1\/2 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d + 12. Let y be x(-4). Put -3, -6, -5, y in decreasing order.\nAnswer: -3, y, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyxyxxxxx. What is prob of picking 1 x and 2 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185513198\/899 - 206355. What is the common denominator of j and 85\/116?\nAnswer: 3596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -97, -111, -137, -181, -249?\n\"Answer: -t**3 - 7*t - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890000 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5270\/9 + 583. Let c = -397 - -3568\/9. Calculate the common denominator of y and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -64, -84?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -4. Suppose 3*v = -4*n - 6, 2*v - 5*v = -k*n + 6. Suppose n*a + a = 0. Solve a*h = 2*h - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 8, 3*i - 10 = 5*r + 8. Let w = r + 11. Suppose -c = 4*c - w. Let v(l) = -7*l**3 + l**2 - 1. What is v(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.2, 28.9 in descending order.\nAnswer: 28.9, 2\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 - 171. Let c(h) = -h**2 - 2. Calculate c(q(r)).\nAnswer: -4*r**4 - 684*r**2 - 29243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -261.8? (a) -5 (b) -0.5 (c) 2\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*k - 140 = -158*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w + 0*w)*(10 - 2 - 5).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 35. Suppose -u = n, 2*u + 4*n + l = 4*u. Suppose -u*b = 0, -4*x - b + 140 = -6*b. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251 - 249 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 3:44 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 58. Suppose 86*b = 60*b + 104. Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 + 1)*(-2 + 3 + 0) + 3 + 2 - 6 - 5 + 3 + 4)*(-70*k - 102*k - 13*k + (-7*k - 10*k + 0*k)*(-2 + 6 - 3)) in the form v*k + z and give v.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109573 is divided by 225.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -270 - -274. Suppose -4*x + k*j + 108 = 0, 5*x - 18*j = -16*j + 132. Solve 2*a + x = 24 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/23870 and 68\/48825?\nAnswer: 1074150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r**4 + 18 - 10 - 7 - 2*r**2 as o*r + k + a*r**4 + v*r**2 + w*r**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (170\/(-45) + 4)*18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**2 + 5. Suppose 4*b - 15 = -b. Suppose 2*y = -v + y, -b*v - 4*y + 5 = 0. Let k(f) = -6*f**2 + 7. Let m(x) = v*k(x) + 7*j(x). Factor m(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 71*z**3 + 5*z**2 - 2*z - 6. Let x(m) = -m**3 + m**2 + m - 1. Let q(u) = -n(u) + 2*x(u). Let a be q(4). Round a to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*z - 16, -z = -0*z - 3. Suppose 5*a - 40 = -h*y + 45, -2*a = 4*y - 130. What is the greatest common factor of y and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 103212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 162620 to the nearest one thousand.\nAnswer: 163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2232*c + 15 = -2232*c - 5*n, -2*c - 209*n = 637 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -2 - (-47 - -55)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2135064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -365 divided by 30\nAnswer: -73\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**3 - 3*a**3 + 2*a - 3*a + 16 - 17 + 5*a**4 to p*a + l*a**3 + o*a**4 + t*a**2 + h and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 i when four letters picked without replacement from {m: 1, k: 3, i: 8, z: 1, s: 3, b: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-792))\/(((-125)\/(-300))\/((-10)\/(-6)))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/4 - -16 - -3. Solve a - 4*w - 7 = 0, 0 = 5*a - 3*w + 6*w + t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591572 divided by -4166?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -29*a - 2283. Calculate the lowest common multiple of 638 and i(-79).\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139531036 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137811, -3, 1 in ascending order.\nAnswer: -3, 1, 137811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2 (b) -6.64 (c) -0.3 (d) 7\/167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8645 - 7997. What is the greatest common factor of 81 and h?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**5\/60 + x**4\/12 - 20*x**2. Let q(t) = 2*t**2 + 3*t. Let c = 9 - 13. Calculate c*q(m) + 6*w(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6*(-1)\/(-2). Let i = -7 - -9. Is i less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 2*y - 5*y + 5*y + (5 - 4 + 1)*(2*y - 3 + 3).\nAnswer: 6*y - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43722 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -1\/3 (c) 0.3 (d) 3 (e) -6\/401 (f) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91298 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: What is the value of ((-550)\/6)\/(-25)*-3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxx when three letters picked without replacement from wtxxmxxxlxz?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4)\/((-95)\/10 + 4). Let l = -655.5 + 638.5. Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3497400 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 521 (b) 4 (c) 1.2 (d) 4\/5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoo when three letters picked without replacement from {k: 1, l: 1, o: 2, a: 10}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 291\/776 + 262\/(-16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 7*u**2 - 9. Let c(k) = 8*k - 1. Let t be c(1). What is m(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(1\/1)*1. Let f = 312 + -308. Suppose -f*q - 396 = -13*q. Calculate the greatest common factor of h and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (-3 + 0 - -1). Suppose -2*i = -s + 1. Let x be (-4)\/(-2) + -6 + 4. Solve x = -i*f - 4 - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33030, -32945, -32854, -32757, -32654, -32545, -32430?\nAnswer: -32309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 38. Suppose 4*q - 55 = -0*x + x, 3*q - g = 2*x. What is the smallest common multiple of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6056 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - ((-14 - -23) + 2) - (55 + (-1 - -3)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/12276 and 71\/1188?\nAnswer: 36828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6493769 divided by -4?\nAnswer: -6493769\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -49240 divided by 42\nAnswer: -24620\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 449, 638, 797, 902, 929, 854?\n\"Answer: -4*r**3 + 9*r**2 + 190*r + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160268*g = -160306*g + 570 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2772 = -37*v - 3179 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.867 + -0.133. Let w be (2\/4)\/((-3)\/(-2)). Which is the biggest value? (a) h (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71.2 - 71. Which is the closest to 1? (a) -0.2 (b) 1\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h + 2 = 0. Let x be h\/(1\/(-2)) + 0. Put 0.4, x, 4 in descending order.\nAnswer: 4, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*r + 23950 = 0, 2*d - 4*r + 35925 = 5*d. Let p = d - 34798. Let f = -547841\/24 - p. Find the common denominator of f and 93\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**8\/336 - 5*z**4\/12 + 35*z**2\/2 + z. Let u(t) be the first derivative of j(t). Find the second derivative of u(l) wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, 4, -1 in increasing order.\nAnswer: -4, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 56*i**2. Let h(m) = -4*m + 10*m + 4*m - 11*m. Give h(r(n)).\nAnswer: -56*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 65 - 35*i**3 + i**2 - 121 + 56 + i. Let r be w(-1). Suppose 4*v - 2*n - 3*n - 705 = 0, -3*n = 3. Calculate the greatest common divisor of r and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/135)\/((-2)\/24)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, x: 11}. What is prob of sequence iii?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 4*i + 0*i + 681 - 746.\nAnswer: -i - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a - 19. Let d be y(6). Suppose -d*q + 3*z + 123 = 2*z, -3*z = 9. What is the greatest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 7, 420.\nAnswer: -2, 3, 7, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 66813 - 7249*q - 66813 in the form m + i*q and give i.\nAnswer: -7249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -301894646, -301894645, -301894644, -301894643, -301894642?\n\"Answer: r - 301894647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 30\/10 + -1 + 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -107*m**2. Let k(v) = -213*v - 204*v + 416*v. Determine j(k(q)).\nAnswer: -107*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7485)\/9980*((-336)\/99)\/4.\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.29 (b) -97 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0390139 weeks to days.\nAnswer: 0.2730973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57414724?\nAnswer: 2, 1879, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*z**3 - 420*z + 6*z**3 + 420*z.\nAnswer: -51*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*t - 2*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r + 40*r - 2 + 93*r + 55*r in the form t + g*r and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -39. Let b = q - 4. List the prime factors of (14\/(-4))\/(b\/(-90)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 584*p**6 + 21030*p**5 - 2453*p**2 + 35*p + 40 wrt p?\nAnswer: 70080*p**3 + 1261800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.89 - -28.89005709. What is n rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s - 2*l - 7 + 3 - 8 = -24*s, 5*s + 14*l = 36 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6944635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 9610 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 103 times 0.05\nAnswer: 5.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x - 33. Let o be a(6). Let g = o - -60. Let b(s) = 4*s**3 + 2*s**2 - s - 3. Let f(k) = k**3 - 1. Determine g*f(h) + b(h).\nAnswer: h**3 + 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -181932731, -181932734, -181932737?\n\"Answer: -3*g - 181932728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429123 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000676718 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/((-108)\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 + 30?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248965768, -248965767, -248965766?\nAnswer: -248965765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (-224)\/(-96)*1*465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 880 and 1340.\nAnswer: 58960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {e: 1, a: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 2. Let q be d(4). Let g = 2 + q. Find the third derivative of g*v**3 + 2*v**3 + v**2 - 3*v**3 wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42215 rounded to 2 decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -0.18618491007.\nAnswer: 3.81381508993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1190920 and 47\/31340?\nAnswer: 1190920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3))**(-30) assuming a is positive.\nAnswer: a**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + -1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (15 + 2954\/(-196))*2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u = 37*u - 922 - 183 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u**3 + 3*u**2 - 4*u**2 - 635*u**3 - u**2 - u**2.\nAnswer: -612*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 - (-9)\/(-24) - -1 and 69\/34?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fifi when four letters picked without replacement from itiftfff.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/20*-95*141\/(-19646).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -239 and 10240573.\nAnswer: 10240334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - d = -4*d - 48, -d = -4*i + 181. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**5 + 3825*p**4 - 107280*p**3 + 411140*p**2 + 752160*p - 1059840 = 0?\nAnswer: -2, 1, 6, 24, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 107 - -43) + (-10 - 18).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(288) + 5 + -1*-1*sqrt(288))*-5 + -4)**2 + 1.\nAnswer: 10440*sqrt(2) + 65642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k**3 + 87*k - 31*k**3 - 86*k - k**2 + 1 to u*k + b + w*k**2 + m*k**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.1 (b) -1\/2 (c) -168767\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9964.984 millilitres in litres?\nAnswer: 9.964984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 + -3.9. Let x = 57 + -60. What is the nearest to -7 in 1, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124 - 129. Let o be -1*(-6)\/a - -1. What is the second smallest value in o, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, -3, -5, 1232 in decreasing order.\nAnswer: 1232, 8, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 10. Suppose -3 = -y - 5. Let q = y + v. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/68 + 2\/17. Let u = -16 - -17.2. Let y = u + 0.8. What is the nearest to -2\/5 in p, -4, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -1. Let n = t + 3. Let w(o) = o**2 + 4*o - 7. Let q be w(-5). Is q bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/35*4130\/(-1239).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6, -337 = -5*n - u + 26. Let v = -32 + n. Calculate the remainder when v is divided by -1 + (-8)\/(-12) + (-129)\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(-1)*(4419 - 4425).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 2. Let z be h(0). Let w(j) = j**3 + 5*j**2 + 4*j. Let t be w(-4). Let 0*l**2 + t*l - 4*l + z*l - l**2 = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/420 (b) -1 (c) -3 (d) -0.1 (e) 0.2964\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62.203 + 0.553. Let f = 74.81 - v. Let i = 12 - f. Round i to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 11 = j, -2*r - 5*j - 10 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 + 2696*a\/5 - 908552\/5.\nAnswer: -2*(a - 674)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1200001*f**2 + 2*f + 3. Let n(p) = -2*p. Let g(w) = -w - 1. Let u(j) = 3*g(j) - n(j). Let z be u(-6). Let k be b(z). Round k to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 3864.\nAnswer: -193.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -806.9572 - -807. Round s to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10082 or 10083?\nAnswer: 10083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/311 (b) -1\/9 (c) 8.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 v when four letters picked without replacement from {c: 4, x: 3, v: 5}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 2*t + 3*t)*(-t**3 - t**3 + 3*t**3) - 440*t - 28*t**4 + 440*t in the form m*t**3 + x*t**2 + c*t + l + o*t**4 and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(9\/4)*v)**(-4)*v**24\/(v*(v*v**3*v)\/v))**(2\/57) assuming v is positive.\nAnswer: v**(4\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21040472 less than -852?\nAnswer: 21039620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l**2 + 3*l**2 - 2*l**2)*(l**2 + 3*l**2 - 2*l**2) + 0*l**4 - l**4 + 0*l**4)*(29 - 19 + 110).\nAnswer: 360*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 10. Suppose -4 = -2*w + 3*p, -w + 11 = 3*p - o. What is the remainder when 28 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 62.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001914 to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -28*v - 275. Let b be p(-10). Suppose -3*d + 22 = b*q, -5*q = -d - 2*d + 2. Factor -2\/9*w**q + 4\/9*w + 2\/3.\nAnswer: -2*(w - 3)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-19)\/m)\/((((m*m*m*m**(-2\/47))\/m*m*m)\/m)\/m))\/(m**(-2\/7)*m*m**(1\/16)))**36 assuming m is positive.\nAnswer: m**(-1077057\/1316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/10*(-16)\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 23*a**2 + a + 2. Suppose 0 = -3*v - 5*l + 11 + 30, v - 10 = 2*l. What is the hundreds digit of i(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19865\/20 - 1\/4. Suppose -s + l = 2*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a day in hours?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1380299770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2 - 8217465*r + 73957266 = 0. What is r?\nAnswer: -8217474, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2074449407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 260 = 8*x. Suppose -4*l = -3*c + 4*c - 10, 3*c + l = x. Solve 0 = 2*o + 5*q - 3 - c, -4*q = -3*o - 26 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3069 - 15349\/5. Which is the smallest value? (a) 14 (b) q (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 1. Let q(o) = 21*o + 18. Let s(l) = -a(l) - q(l). What is the first derivative of s(t) wrt t?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -21 - -1 - (978 + -980)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(28) + 1*(0 + sqrt(7)))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9993333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 252253?\nAnswer: -252255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 143?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 408, 639, 892, 1173, 1488?\nAnswer: 1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18712 - -2a?\nAnswer: -186c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 843.6926mm?\nAnswer: 0.0008436926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 16) to base 12.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/8, -0.39, 2, 0, 14, -0.16 in increasing order.\nAnswer: -0.39, -0.16, 0, 13\/8, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 275820?\nAnswer: -1379100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 350664465 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**5 - 794956*t**4 + 52662390184*t**3 - 1162838236239640*t**2 - 2325834462829676*t - 1162943563404892.\nAnswer: 4*(t - 66247)**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 13*l**5\/12 + 17*l**4\/24 - 38*l**3 + 982*l**2. Differentiate i(t) wrt t.\nAnswer: 130*t + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 4 - (-2)\/5\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -73\/4. Sort 2, 1, m in increasing order.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**3 + 41*i**2 + 22*i + 51. Let t be j(-4). What is the highest common factor of t and 8379?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**3 + 13*n**2 - 2*n - 10. Let g be o(-10). Round g to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -27*a**2 + 2*a. Let b(c) = -c**2 + 2. Let w(i) = -3*i**2 + 7. Let j(h) = 7*b(h) - 2*w(h). Determine j(o(d)).\nAnswer: -729*d**4 + 108*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 188, 756, -2, 1 in descending order.\nAnswer: 756, 188, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z - 3*z + 5*z)*(-1 + 6 - 1)*(-263 + 30 - 46) to t*z + d and give t.\nAnswer: 1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 4. Let m(z) = 2*z + 1. Let l be m(5). Let s be (1 - 17\/l)*-7. Are s and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/11 + 1124*q - 1737142.\nAnswer: -2*(q - 3091)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1414 by -2.\nAnswer: -707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2448) + 0)**2 + ((sqrt(17) - (sqrt(17) - (sqrt(136)*-1)\/sqrt(8)) - sqrt(17))*5)**2.\nAnswer: 48*sqrt(17) + 4152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162179, -162209, -162239?\nAnswer: -162269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + 1. Let q be (-10)\/35 - 26\/k. Which is bigger: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 4:10 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36779, -35826, -34869, -33908, -32943, -31974, -31001?\nAnswer: -30024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4 + h**2 - 4*h**2 - h**2 + 3*h**3 - 4*h. Let u(g) = 6*g + g - 111*g**2 - 2*g**3 - 7 - 3*g**3 + 118*g**2. Give 4*u(j) + 7*x(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 10. Suppose t*q + 13 = -q + 3*h, 2*q = -h - 5. Let c(v) = -v - 1. Calculate c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 63893 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 - 5*t. Let y be w(-2). Let b be ((-5)\/(-2))\/(5\/(-10)). Let p(n) = n + 7. Let a be p(b). Solve -y*o - o = a*i - 14, -10 = -5*i + 5*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 + 4 + 14 - 10 + 12*c**2 + c**3 - 12*c. What is h(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162719.9655 - 162599.96549965. Let c = k + -120. What is c rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhc when three letters picked without replacement from hhcc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (-6*(sqrt(11) - (sqrt(11) - sqrt(11)*-4)))**2).\nAnswer: -12666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/(20\/(-189870)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/6 - -3)*3. Solve 5*s + 6 = -c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49093408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 499, 1123, 1795, 2539, 3379, 4339, 5443, 6715?\n\"Answer: 4*g**3 + 596*g - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 6*x + 6 = -3*x - 5*x + b, 38 = 19*b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3002 + -11301?\nAnswer: -20303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 7*j - 10. Let p(w) = 1 - 8 - 6 - 2*w + 1. Let o be p(-2). Calculate q(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122 + 123 - 243 + 4872*c to k*c + v and give k.\nAnswer: 4872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 11*q**2 + 2*q - 20. Let x be z(11). Let l be 1*(3 + 2 + -3). Solve -x*w = -l - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143932\/15 - 76603\/10. Let v = l + -1927. What is the common denominator of v and 1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 31, 51, 79, 115, 159?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1805873472?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 94.40446kg?\nAnswer: 94404.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 151 or -58?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7804, 7806, 7808?\n\"Answer: 2*o + 7802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47.84 + 6.16. Which is the closest to -0.2? (a) -0.5 (b) 0.4 (c) i (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5841.5 + 5842. Let d = 5 + -9. What is the closest to 0.2 in i, d, -2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440\/(-34) + (-41)\/697.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*l - 2, l - 3391 = -o - 3397 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 666 and 326118?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 328 = 4*u, -2*l = 2*u + 3*u - 409. Suppose 0 = 3*v + 18 - u. Calculate the remainder when 83 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/7)\/2)\/((-72)\/((-64512)\/352))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**4\/54 - 55*r**3\/27 - 6*r**2 + 44*r + 2. Factor z(k).\nAnswer: -2*(k + 1)*(k + 54)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2256 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2209, 1177.\nAnswer: -2209, -9, 1177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -287966.4 * 8.\nAnswer: -2303731.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ruttuttttttrutut. Give prob of picking 2 u and 2 r.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2*(-65)\/60*2*1?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21856379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-8)*3\/1. Let k = 0.4 + -0.1. Which is the closest to -0.1? (a) i (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 124883, 249763, 374643, 499523?\n\"Answer: 124880*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 4, 0.4, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-5)\/25 - 15\/(-6)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29\/20 + 221\/180. Is n < -0.0068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 661265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*c - f + 3, 15 = 3*c + 5*f. Suppose -5*l + c*l - 20 = -5*a, 5*a + l = 8. Solve 2*x = -0 + a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201000002210202120 - 11?\nAnswer: 201000002210202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 843\/260 - 477\/182. Let w = -5\/28 - q. Let t = -55\/366 + -1\/61. Which is the second biggest value? (a) t (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5159888 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 6:33 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**7\/840 + b**6\/90 + b**5\/40 - b**4\/3 - 2*b**3 - 25. Let i(v) be the third derivative of u(v). Is i(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890386081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 4*y + 4*y - 3*y + 0*y + (0*y - 3*y + y)*(0 + 2 - 3) - 5*y + 6*y + 12*y to f + b*y and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -545, 98\/15, 3\/29 in decreasing order.\nAnswer: 98\/15, 3\/29, -545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4032.77*-0.02\nAnswer: 80.6554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -69068, -138246, -207430, -276626, -345840?\n\"Answer: -d**3 + 3*d**2 - 69180*d + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*i + 3*i + 77 - 77.\nAnswer: -43*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8306.839t in kilograms?\nAnswer: 8306839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 317041 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 - 1183220?\nAnswer: -1183163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.6695522kg?\nAnswer: 669552200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -22. Let r = -15 + f. Let d be ((-3)\/(-8))\/(6\/(-4)). Which is the second smallest value? (a) r (b) 2\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 - 162.8. Is v < -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 n when three letters picked without replacement from utnnunuuttut.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 57\/1 + (-2)\/(-1). Suppose 9 - s = -5*t. Let m = -13\/3 + 83\/6. Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkskkssskkkks?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**6\/2 + 6*t**5\/5 - 225*t**4\/4 - 400*t**3 - 750*t**2 - 3366. Suppose w(j) = 0. Calculate j.\nAnswer: -5, -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/(-15) + 2\/(-3). Suppose 0 = -57*y + 36686 + 37870. Let l = -10469\/8 + y. Which is the second smallest value? (a) r (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cve when three letters picked without replacement from eveecqke?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 733715894 divided by -38616626?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -315172 divided by -22?\nAnswer: 14326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -547481, -1094964, -1642459, -2189972, -2737509, -3285076?\nAnswer: -3832679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -285 + 641. What is the remainder when 41 is divided by 10\/(-8) + r\/16?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/10 - (-33)\/5. Suppose 3*n = 3*l + 12 + t, -2*n + 18 = -5*l. Solve -i + 1 + n = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 12:36 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.6 - 13. Let l = 18\/11 - 65\/33. Sort l, i, -4 in increasing order.\nAnswer: -4, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 21*l**2 - 23*l - 14. Let x be o(-22). Solve 4*b + 24 = x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153837577?\nAnswer: 881, 174617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllll. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1965252*p**3 - 942479*p**2 wrt p.\nAnswer: -11791512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 13*x + 13. Calculate k(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) 2 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2001*f + 234105. What is k(117)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 206 = -4*m + 3*m, 5*m - 10 = 0. Suppose -4*n + 67 = 2*q - 3, -4*q = 4*n - l. Suppose -2080 = n*g - 7012. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaagaaaaaaa. Give prob of picking 1 a and 1 g.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2629 + -1836. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*(h*h**9)\/h))\/h)\/h**(-9\/4))**(-1\/5) assuming h is positive.\nAnswer: h**(31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 166, 283, 418, 577, 766, 991, 1258?\nAnswer: 1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3.8 (b) -0.5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -33*f + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -458 - -457. Put 5, o, 1\/5 in descending order.\nAnswer: 5, 1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 16*i. Let c = -9491 - -9491. Let f(w) be the third derivative of 0 + 7*w**2 + 1\/60*w**5 + 0*w**3 + c*w + 0*w**4. What is f(r(d))?\nAnswer: 256*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -32. Let n be -2 + (4 - 1) + a. Let x be n + 21\/12*4. Solve 0 = -2*i + u + 2, -5*u = x*i - 2*u + 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212023 (base 5) to base 14.\nAnswer: -841d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3909660 and 86700?\nAnswer: 332321100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 1. Let q be (-338)\/(-104) + (-2)\/8. Let h(o) = 8*o**2 + 7*o + 17. Let a(n) = q*h(n) + 21*t(n). Factor a(j).\nAnswer: 3*(j + 2)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/3 + 1037845*o**2\/3 - 89763473421*o + 1705381109937 = 0. What is o?\nAnswer: 19, 518913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.1 + -1.1. Let g = 1184506108 - 1184506085.99999958. Let m = g - n. Round m to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + 2*-2*2*sqrt(117) + -2 + 1)**2.\nAnswer: 240*sqrt(13) + 7513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*i + 4 - 18 = 0, -5*i + 12 = -4*j. Let v(l) = 222*l + 27. Let k(r) = -17*r - 2. Give j*v(w) + 27*k(w).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 20586.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*52\/(-20)*5. Let n(w) = 3*w - 12. What is the units digit of n(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 57176902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1744, -1538, -1346, -1168, -1004, -854, -718?\n\"Answer: -7*i**2 + 227*i - 1964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -2 (c) 7\/676 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400261350?\nAnswer: 2, 3, 5, 67, 39827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11293376.4ms to days.\nAnswer: 0.130710375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*t + 48*t - 900 = -17*m + 19*m, 0*t + 90 = -3*m - 3*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 11*h + 16. Let c be o(7). Let q be 9\/c*16\/(-6). What is the greatest common divisor of q and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18630589?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 103 - 7. Suppose 3*v + n - d = 0, 4*v + 0*v = -3*n + 64. Let o = v + -6. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.5042754632 plus 0.1?\nAnswer: -73.4042754632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + 3 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 1162*p + 1413640.\nAnswer: -2*(p - 599)*(p + 1180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 - 2*x. Let h(d) = 7 - 13*d**3 + 12*d - 3*d - 7. What is 2*h(k) + 9*n(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*c + 2*c + 248. Let l(q) = 111*q + 3. List the prime factors of l(c).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0*h - 1\/84*h**4 + 0*h**3 - 1\/105*h**5 - 22*h**2 - 1\/420*h**6 + 0. Factor n(i).\nAnswer: -2*i*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-848)\/(-28) + (-2)\/7. Suppose -5*g - 2*p = l - 8, 0 = g - 3*p + 18. What is the common denominator of 91\/22 - g\/(-4) and -7\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 5:04 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4832 is divided by 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -p + 3*v, -6 = 745*v - 743*v for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2273981 and -24.\nAnswer: -2274005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + (-1*sqrt(833))**2 + 3 - (sqrt(833) + (sqrt(833) + -2*(-1 + sqrt(833))**2 - sqrt(833)) + sqrt(833)).\nAnswer: -35*sqrt(17) + 2504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1821 divided by -12\nAnswer: -607\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) + 94\/(-8). What is the tens digit of (-195)\/r + 1\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 - 294*l**2 + 448*l - 150 = 0 for l.\nAnswer: -75, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(13*m - 4*m - 81*m).\nAnswer: 72*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/7 > -591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 2, m: 1}. Give prob of picking 1 d and 1 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -108 (base 11) to base 3.\nAnswer: -11210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*j - 137, -2*f + j = 2*f - 170. Let x = -9 + 24. What is the remainder when f is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13215958 divided by 30?\nAnswer: 6607979\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/(x\/x**(2\/25)))**(-38) assuming x is positive.\nAnswer: x**(5624\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0082 + 0.5?\nAnswer: -0.5082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - -3. Let m(r) = -4*r + 14. Let d(h) = 6*h - 1 + 8 - 16*h + 8*h. Let w(z) = c*d(z) - 6*m(z). Calculate w(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/27)\/((-2)\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1. Let c be (0 + i)\/((-4)\/12). Suppose -l + 37 = 4*a, a + c*l = 2*a - 6. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -7*x + 34 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 33278, 15, 12?\nAnswer: 33278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a hour in seconds?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51667 minus -55?\nAnswer: -51612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 5 - (10 + -11) - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 5. Let c(o) = 5*o + 25. Suppose 3*z - 35 = -2. Let l(u) = z*g(u) - 2*c(u). Suppose 2*x - 32 = 4*f, 2*f - 5*x - 15 = -47. What is l(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1814932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -218*m**2 + 108*m**2 + 109*m**2 - 1 + 18*m. Let l be y(15). Solve 0 = 5*a + 6*a - l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(325) + 2)**2 - (-1 + sqrt(325))*2) + (5 + (4 + 0 + sqrt(325) - (sqrt(325) + 3 + sqrt(325) + (sqrt(325) - (sqrt(325) - sqrt(325)*2)))))**2.\nAnswer: -180*sqrt(13) + 3289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 + -18. What is the common denominator of (-365)\/f - (-2)\/(-3) and (2660\/3136 - 8\/28)*(-9)\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 10:06 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48*2*(-1)\/(-2). Suppose -4*p + 0*p = -d. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*r - 13*r + 66 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otoo when four letters picked without replacement from ttotttotttttooottt?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 206*i**2*r**3*z**3 + 2*i**2*r**2*z**2 + 1620*i**2*z**2 + 132*i*r**3*z**3 + 2*i*r**2*z**3 wrt r.\nAnswer: 1236*i**2*z**3 + 792*i*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1362172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -174, -159, -144, -129, -114?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12494b (base 14) to base 3.\nAnswer: -1011212201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 8*q = 3*q - 35, -5*c + 14 = 2*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1452571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 15*m**2 + 2*m - 9. Let f(t) = 8*t**2 + t - 5. Suppose 0 = -5*h + 26 + 29. Give h*f(w) - 6*s(w).\nAnswer: -2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7910271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 93922313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 17 = -3*u, u + 19 = 3*n + 28 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 33 + 144*p - 28 + 93 in the form r + d*p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -37. What is the hundreds digit of -236*2*z\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5241391 and 47172524\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**5 - 1258*s**4 - 460*s**3 + 2232734*s**2 wrt s.\nAnswer: 180*s**2 - 30192*s - 2760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 2*j**2 + 67*j + 134. Let y be i(-2). Let o = 0 + 0. Factor 0*k**2 + o - 1\/3*k**3 - 1\/3*k**4 + y*k.\nAnswer: -k**3*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 2*q = 32, -3*c + 2*q - 41 = -29 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -2\/7, -1568, 0.01?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153)*-5 + sqrt(153) + (sqrt(153)*-2 + sqrt(153))*1)\/((sqrt(81) - (sqrt(81) + sqrt(81)*2))\/sqrt(9) - sqrt(1089)*-1).\nAnswer: -5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -116*o - 30*o**3 + 116*o + (-3 + 3 + o**3)*(2 + 4 - 4) - o + o + o**3 + 2*o**3 + o**3 + o**3.\nAnswer: -23*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 976 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(91) + (sqrt(91) - sqrt(91)*-1))*-1*-3)\/(sqrt(700) + (sqrt(700) + sqrt(700)*2)*-1 + 3*(2*sqrt(700) + sqrt(700))) + -3.\nAnswer: -3 + 9*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*i - 5*i. Suppose i = 2*t - 8851 - 6363. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103319183 and 604?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-8))\/(8\/((-780816)\/(-5))). Let s = 2435 + i. What is the common denominator of s and 89\/266?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = z + 17, -z + 7 - 4 = 2*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 18*i**2. Let u(t) = -416211*t**2. Calculate g(u(z)).\nAnswer: 3118168737378*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82262528.\nAnswer: 2, 160669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140688003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 871 less than 33986\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27\/(-72))\/((-11)\/(-220)))\/(75\/500).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 1.5114, -3, 0.2, 0.09?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 486303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11 - 81*b + 39*b + 40*b. Let g(u) = 3*u - 22. Let w(x) = -3*g(x) - 5*q(x). Let m(t) = t**3 + 5*t**2 + 7*t + 6. Let l be m(-4). What is w(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9186 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 10*u**2 + 27*u + 1. Let c(r) = 3*r**2 + 9*r. Let s be (3 - 2) + 0 + 1. Let z(f) = s*k(f) - 7*c(f). What is the lowest common multiple of z(-7) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h - 15*h - 5*h - 9*h + 27 - 5 as d + a*h and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 4. Let j be u(-6). Suppose -3*c + 320 = j*c. What is the greatest common divisor of 96 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28346735353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3788 divided by 4\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14126, 14127, 14122, 14111?\nAnswer: 14094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m\/(m*m**(-5))))\/m**(-8\/3))**(-31))**(-9\/13) assuming m is positive.\nAnswer: m**(-651\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 452514932*t**3 + 266980514*t wrt t?\nAnswer: 2715089592*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 9:21 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (16 - 13 - (13 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171416372 is divided by 925?\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + 266\/18. Let m be -2*(k\/(-6) + 2). Is 62\/(m\/(-2)*-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from {n: 5, u: 1, y: 2, q: 5, t: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlmmmmmlzmmmmmmzz. Give prob of picking 1 l and 1 m.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6*-76632.\nAnswer: 199243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12857, 12902, 12977, 13082, 13217?\nAnswer: 13382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and 376\/343 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 264*d**2 - 11*d + 3. Let m(w) = -264*w**2 + 10*w - 2. Determine -5*m(l) - 4*z(l).\nAnswer: 264*l**2 - 6*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -241 - -243. Solve l + 4*y = -a*l - 20, y + 6 = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d - 2 - 8*d + 6*d + (-3*d + 3*d - 2*d)*(-6 - 1 + 3).\nAnswer: 10*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:49 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (263 - 174*a + 267 - 530)*(-5 + 1 + 3).\nAnswer: 174*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**5 - 15*g**4 - 15*g**3 - 5*g**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmm when three letters picked without replacement from mtmxttmtmxx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/30 + 2\/(-12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(19\/4180*33)\/((-270)\/12)\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27371\/13373 or 1?\nAnswer: 27371\/13373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -32594 plus 3?\nAnswer: -32591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81329430302 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 20*y**2 - 62*y - 18. What is the remainder when a(23) is divided by 68?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2288*n*w - 24424*n + w**2 - 254*w - 2 wrt w?\nAnswer: -2288*n + 2*w - 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 29*p**6\/120 + 2*p**3 - 22*p**2. What is the first derivative of g(z) wrt z?\nAnswer: 87*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (8 - 11 - -46)) + 20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7*70\/(-6)*32\/160.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28065 - -41900. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2\/2 - 17*r\/2 - 19 = 0.\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1220?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24168295\/12 - -2012140. Let q = 1889 + o. What is the common denominator of 61\/114 and q?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o + 4*o - 12*o + 3*o. Let t(f) = 6*f**2 + 2. Let u(k) = -30*k**2 - 11. Let m(v) = -11*t(v) - 2*u(v). What is n(m(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 12*j + 11. Let u be z(10). Let a = u + 27. Let y = 131 + a. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6216 + 6219. Let q(i) = -i**3 + 7*i**2 - 6*i + 4. Let z be q(6). Solve -h = -z*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2*v**3 + a**2*v + 7802*a*v**2 - 2073*v**3 wrt v?\nAnswer: -12*a**2 - 12438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - (sqrt(180)\/(sqrt(20)\/sqrt(4)) - sqrt(36)))\/(sqrt(972)*1).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 49?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {w: 9, o: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/335 or -343733?\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = t + 1, 0 = -4*o + 3*t - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.65 less than 21.2?\nAnswer: 22.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15771681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 62\/(-180) + (-2)\/10*-2. Let h(o) be the first derivative of -8\/27*o**3 + 5\/9*o**2 - 4\/9*o - 5 + k*o**4. Factor h(y).\nAnswer: 2*(y - 2)*(y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8\/7 of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 138 = -2*y + 7*w, -3*w + 353 = 5*y. Find t, given that -1 + 11 + 5*t**5 + 221*t**4 + y*t**3 + 80*t**2 - 191*t**4 + 45*t = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -18*n - 4. Let x(u) = 5*u. What is x(t(c))?\nAnswer: -90*c - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33733496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 3*n + 47. Let d(x) = -3*x**3 - 57*x**2 - 57*x - 60. Let k be d(-18). Give u(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-11))\/(864\/448*6\/27)\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.9 - 12.4. Put -0.1, d, -6, 2\/7 in increasing order.\nAnswer: -6, -0.1, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0.02 (c) 29\/66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10728479, -10728472, -10728465, -10728458?\nAnswer: -10728451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16793000 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 + -1.39. Let d = 2 + b. Let n = -72 + 72. What is the third smallest value in 2, n, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n + 5*o + 16, 3*o + 18 = 4*n. Suppose -n*j + 0*j + 9 = 0. Let a = 2 + 2. Solve -5*s = a*v - 37, 2*s = j*v - 1 + 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.386, 0.5, -3\/5?\nAnswer: -0.386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -3 + 4 + -4 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -120, -87, -60, -39, -24?\n\"Answer: -3*n**2 + 42*n - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 5*i + 3)*(-4 - 5*i + 4) - 2*i**2 + 0*i**2 + 4*i**2 - 2*i**2 + 3*i**2 - 2*i**2 - 2*i**2 + i**2 + 5*i**2 in the form o*i**2 + c + h*i and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 134, 139, 148, 161?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 877 and 51743.\nAnswer: 51743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*175\/1190)\/((-3)\/51).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 226*m**3\/5 - 3876*m**2\/5 - 1686*m - 4328\/5.\nAnswer: 2*(m + 1)**2*(113*m - 2164)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872028614?\nAnswer: 2, 59, 337, 21929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4205?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 28*i**2 + 3*i + 10. Give p(28).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 - 11.15. Let s = -6 - m. What is the nearest to -3 in s, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -552393 and 63447.886?\nAnswer: 615840.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-68)\/(-18)*(705\/(-470))\/((-4)\/(-6)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*h**6 + 52*h**5 + 4*h**2 + 15*h - 2?\nAnswer: -3720*h**3 + 3120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*s**4 + 421*s**2 + 607*s - 2 wrt s.\nAnswer: 84*s**2 + 842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -0.008412.\nAnswer: 0.00008412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114505 + 331394. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2129*t - 6376. Determine v(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*o = -7484, p = 2*p - 4*o + 7488. Is p\/(-77) - (-1)\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 290\/(-3)*24\/(-20). Let q = -4 + n. Is 28 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2855*y**3 - 8662*y**3 - 43*y + 2861*y**3 + 2948*y**3.\nAnswer: 2*y**3 - 43*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**4\/24 - q**2. Let u(r) = -r**2 + 15*r - 30. Let j be u(12). Let i(p) = 6*p + 5*p - j*p - 4*p. What is i(a(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14554 is divided by 115?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 12) to base 13\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 882361 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-4))\/((-39)\/(-13))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24505?\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1409\/5 - -280. Let t = w + 31\/20. Let n = 88\/3 - 29. Which is the nearest to n? (a) 5 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 27.957\nAnswer: 55.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-28)\/(-18)*(-315)\/(-210)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -41) + (42 + 9 - -6)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 161779137 to the power of 1\/2, to the nearest integer?\nAnswer: 12719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14442455 take away 783?\nAnswer: 14441672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -31538.41 take away -3159?\nAnswer: -28379.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*x - 4*h - 225 - 124 - 398, 0 = 4*h - 12 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 7:38 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + (-1 + -1 - 2)\/(-2). Let s(m) = 2*m**2 + 3*m + 33. What is the remainder when s(x) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 7*l**2 + l - 1. Let r be d(7). Let u(h) = h**3 - 5*h**2 - 6*h + 4. What is the units digit of u(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 10*r + 2 - r - 14*r - r.\nAnswer: -24*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*q + 124 = 0, 3*u - 2*q + 6*q = -76. Calculate the common denominator of 2\/28*1*75 and (5 - 6) + (-153)\/u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -2\/3*j**3 + 0*j - 6 - 8\/15*j**5 - 1\/8*j**4 + 5*j**2. Find the second derivative of g(m) wrt m.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1 + -2)\/(-1). Let m = t + 1. Let j(g) = g**2 + 10*g + 8. Let l be j(-9). Sort m, l, -3 in decreasing order.\nAnswer: m, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/44 (b) -8 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0)**28*(k*k**(1\/3))**(9\/2))**45)**(7\/8) assuming k is positive.\nAnswer: k**(945\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by -1.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548*p - 1335*p + 418*p + 495*p.\nAnswer: 126*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 23 = 68. Let z be 1 - 10\/j*3. Let b(q) = -58*q**3 - 2*q**2 - 2*q - 1. List the prime factors of b(z).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*s + 9 = s - 3, -3*s = -11*a - 20 + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rororrrrrorrrorrrrrr. Give prob of sequence rroo.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*o*q**2 - 10*o*q - 3*o - q**2 + 5*q - 367 wrt q?\nAnswer: 24*o*q - 10*o - 2*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/(656\/24231). Let u = x + 16689\/680. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36169\/9 + (-28)\/(-126). Suppose -5441 = -10*y + n. Suppose 3*h + j - y = 0, 0*h - 4*j = 2*h - 614. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8935702, 17871401, 26807100, 35742799?\nAnswer: 44678498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 39, 72, 97, 102?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 944388210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 16*x**2 - 35*x + 8. Let a be t(-16). Suppose -3*q + a + 590 = 0. What are the prime factors of q?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*y**5 - 2*y**4 - 382*y**3 + 307791*y**2.\nAnswer: -1680*y**2 - 48*y - 2292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 5*x**3 - 2*x**3)*(-2 + 5 - 1) + 11*x**3 - 14*x**3 - 18*x**3.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4) - (-84)\/24. Solve 0 = -q*b - 2 - 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4414 - 4410. Which is the second smallest value? (a) y (b) -0.03 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 3*k + 5. Let g be (-5)\/(-10) - (-8)\/16. Let p(r) = 1. Determine g*a(b) - 5*p(b).\nAnswer: 2*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) + sqrt(3) + -1*sqrt(243) + sqrt(12)*-2)**2.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 + 122?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*a = 4*w, 2*a + 10 = 0. Solve -11 = -w*y + 4*z, -3*z = 2*y - 7 + 21 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2642287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, 3, 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*c + 2*c, 2*c = -3*w + 1. Let b be 13 - 7 - (-1 + w). Let m = -10 + b. Is -3 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.595877 milligrams?\nAnswer: 0.000007595877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g + 374*g**3 - 368*g**3 + 11*g.\nAnswer: 6*g**3 + 35*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 170*v. Let t be 8 - (3 - (-10)\/(-2)). Let q be (-21)\/(-35) + (-26)\/t. Let i be w(q). Round i to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -v - i, -3*v + 6*i = 8*i - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0*p*p)\/p)\/(p*p**(-6\/7)*p) assuming p is positive.\nAnswer: p**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3133 and -94880.\nAnswer: -91747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21912 divided by -3?\nAnswer: 7304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -44*z + 1\/12*z**4 + 0 + 1\/2*z**2 - 1\/6*z**3. Let f(r) = -4*r**2 + 2*r - 3. What is f(i) + 3*y(i)?\nAnswer: -i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-42) + (-80)\/(-14). Let v be b + -8 + 0 + 0. Let j be 8 - ((0 - -3) + v). Solve -4*r = -2*a - 4, -r + a = -a - j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 476049 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47802877 a multiple of 311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 3\/(-21) - (-14463794)\/(-168). Let n = 86092 + w. Find the common denominator of n and -40\/49.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -152*y - 151*y - 1 + 288*y + (2 + 0 - 1)*(-y + 3*y + 0*y).\nAnswer: -13*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 600148536?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/20799701 and 85\/9599862.\nAnswer: 124798206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19032006 divided by 21.\nAnswer: 906286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -0.1, -5, 5\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*n - 4*n. Suppose -3*a + 41 = -n. Calculate the remainder when a is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17707995*d**3 + 883421.\nAnswer: 53123985*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*z - 5. Suppose 2*c = 25 + 11. Calculate the remainder when c is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7767*j + 132235 = 2239*j + 427616 + 254949 for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 21 - 59*d + 15 + 58*d)*(-59*d + 31*d - 3 + 69*d) to i + g*d + p*d**2 and give g.\nAnswer: 1233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5662472, -5662471, -5662470, -5662469?\n\"Answer: n - 5662473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.945314 years in months?\nAnswer: 107.343768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - 32*o - 127. Give c(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, y: 1, j: 5, w: 9, p: 2}. What is prob of picking 3 w?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f = 4. Suppose 3*w = 0, 3*x - 1 = 5*w - 10. Let r = 5 + x. Calculate the remainder when r is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*a**3 - 101*a**3 + 23*a**2 + 165*a**2 as u*a**2 + z*a + m + o*a**3 and give u.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -9 - (-8 + 6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 + 71*k**2 + 34*k - 7. Let w be x(-35). Suppose w*i - 7631 = 15*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5 - 58\/(116\/(-6)) - 5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t - 9564 + 9632 = 0. Let b(q) be the second derivative of 1\/70*q**5 + 4\/21*q**3 + 0 + 0*q**2 + 2\/21*q**t - 22*q. Factor b(f).\nAnswer: 2*f*(f + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1040 - -636. Suppose -2*z - r = -6*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 0*h**2 + 67*h**3 + 2*h - 65*h**3 - 3*h**2 + 0*h. Suppose 13 - 5 = -2*o. Let b be (-10)\/(-4)*o\/(-5). Give y(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, c: 2, q: 1}. What is prob of sequence cq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323467.\nAnswer: 323467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - (8 + (-13)\/39). Is -0.05019 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30199 by -30199.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(1\/10))**(-6\/5)*(h**(2\/25)*h)**(-8\/5) assuming h is positive.\nAnswer: h**(-531\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in centimeters?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -468144 divided by 6\nAnswer: -78024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 57, 0.3, 4\/117, 5?\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1053*z + 153758. Determine q(-146).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aququ. What is prob of sequence ua?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8293*-0.06.\nAnswer: -497.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -41565\nAnswer: -7\/41565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240*w**6 - 35*w**2 - 2?\nAnswer: 28800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrqrqkrkqrrqrkkrrrr. Give prob of sequence kkqk.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 152*m - 156*m + 5*m**2.\nAnswer: 4*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.5515 minus -8?\nAnswer: -41.5515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 11*k + 13*k = 11359990, -2*k = b - 5679990. Round b to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**2 + 3*c**2 + 0*c**2 + (23246 - 15021 + 25556)*(c**2 + 1 - 1) in the form o*c**2 + g*c + m and give o.\nAnswer: 33780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126 - -132) + -9 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*b**2*t - 11*b**2 - 44*b*t - 118*b - 801271*t - 42 wrt b.\nAnswer: 10*b*t - 22*b - 44*t - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 4. Let n be 4\/(-16)*2*-8. Let b(k) = 2*k - 5. Give n*b(i) - 5*z(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244616, 244513, 244410, 244307?\nAnswer: 244204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1803 + -0.1197. What is the fourth biggest value in r, 66, 2, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 2 + 12 + k**2 - 50.\nAnswer: k**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*108\/(-243)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, q: 5}. What is prob of picking 3 q?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {x: 8, i: 7, m: 2, h: 1}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*p + 10*p - 375. Calculate the smallest common multiple of p and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -420? (a) -2\/3 (b) 2 (c) -23 (d) 290 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 2*f - 3*k - 18, -3*f - k + 115 = 0. What is the greatest common factor of f and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q = -5*y + 5, -4*q - 2*y = -6. Suppose -5*v - 11 = -3*g, -2*g = q*v - v + 10. Calculate the remainder when (-4)\/(-10) - g\/5 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v - 2. Solve -v + 18 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-198)\/(-4)*30\/(-25)*-30.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12*(-20)\/(-15)*(-42)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 28*s**2 - 38*s + 62. Let t be r(-27). Let k be 10\/2 + t - 0. Let b be k\/(-48) + (3 - (-15)\/(-4)). Is -7 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - 22)*(1\/2 - 1)*1896\/(-5688)?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, j: 8, x: 2, p: 1}. Give prob of sequence hph.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 47*v - 313 = -8*v - 26*v + 3*b, 2*v - 311 = 3*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*j = 1095*j - 18938 + 14096 - 17178 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -256 and -1.5?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 203059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 32*v - 27. What is x(11)?\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -197656, -197654, -197652, -197650?\n\"Answer: 2*y - 197658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 + 282 = -2*k + 152. Suppose -4*b - 2*w = -38, -11 - 1 = 4*w. Solve k*m = b + 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*k - 3*n - 886, 19*k - 3*n + 169 = 22*k + 319 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -4*m + 52. Let d = 297 + -288. What is the remainder when m is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130219\/5 - -84381577\/3240. Find the common denominator of d and -37\/81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20880074603000 - -1\nAnswer: -20880074602999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10328 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m + 3529*m**3 - 9*m + 5*m + m + 4356*m**3 + 1 - 1 + 4*m**3 + (1 - 1 + m)*(-2*m**2 + m**2 + 0*m**2) to a + x*m**2 + g*m + o*m**3 and give o.\nAnswer: 7888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32aa2a (base 12) in base 10?\nAnswer: 806722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -20. Solve -d + 4*r = 2, d + c*r = 8 - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u - 11. Let k be g(-12). Suppose -5*n + 3*l - 9 + 100 = 0, 5*n - l - k = 0. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 8 + 38. Suppose 2*d - 48 + 22 = -f, -88 = -3*f - 4*d. Suppose -h = -a*h + f. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5189*h + 788760 = -5165*h. What are the prime factors of h?\nAnswer: 3, 5, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**4 - g**3 - 6. Let v(l) = 9*l**4 - 11*l**3 + 1607*l**2 + 10259. Let p(w) = 8*t(w) - v(w). Differentiate p(y) with respect to y.\nAnswer: -4*y**3 + 9*y**2 - 3214*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40.925 - -0.075. Let v = a + -41.34. Let g = 0.14 + v. Sort g, 0.5, -3\/5.\nAnswer: -3\/5, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*r + 1 - 3*r + 5*r - 3*r + (-4*r + r + 2*r)*(-2 - 1 + 1) + 5 - 5 + r - 2*r - 15*r - 23*r as q + d*r and give d.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 + 91. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-105) - (-2171)\/195?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -62 (b) 1 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1\/4 (c) 0.092632\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22067333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 8 + 18)*(0*s - 3*s + 5*s)*(-s - 2*s + 5*s).\nAnswer: 132*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*-31293922\nAnswer: 125175688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**5\/150 + n**4\/10 - 14*n**3\/45 - 8*n**2\/5 - 7*n. Factor a(f).\nAnswer: -2*(f - 6)*(f - 4)*(f + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 52.8975 weeks?\nAnswer: 8886.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjijjjjiij. What is prob of sequence jjjj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 2)\/(2\/10). Suppose -g*n = -n - 140. Let d = n - -50. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, u: 4, a: 2, i: 6, x: 2, e: 1}. Give prob of sequence ixi.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -11 + 2\/(-2). Let f(n) = -n**3 - 7*n**2 - 7*n - 2. Let r be f(-5). Let b = o - r. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 15.2. Let k = 4.3 + -4. Let i = -0.2 + k. Which is the third smallest value? (a) t (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/16340 and 93\/13081460.\nAnswer: 248547740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03 and 59527249.325?\nAnswer: 59527249.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 3*o**2 - 6. Let t(g) = g**3 + 4*g**2 + 5. What is 6*r(p) + 4*t(p)?\nAnswer: -2*p**3 - 2*p**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s + 952 + 5*s - 937. What is c(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -811, -3228, -7257, -12898, -20151, -29016?\n\"Answer: -806*v**2 + v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((t - 5*t + 3*t)*(1 + t - 1) - t**2 - 2 + 2)*(-t**2 + 2*t**2 + 0*t**2).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-seven quarters of a tonne?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 739653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 6*o**2 + 87 - 41.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 540, 531, 516, 495?\n\"Answer: -3*t**2 + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -280, -549, -804, -1039, -1248, -1425, -1564, -1659?\n\"Answer: h**3 + h**2 - 279*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 4. Let w be c(-3). Let o(j) = -2*j - w*j - 2*j**3 + 8 + j**3 - 6*j**2. What are the prime factors of o(-7)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzzdzdzz. Give prob of sequence zzzd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -2 + sqrt(300))*1 + (1*(sqrt(300) + 0 + sqrt(300)) - sqrt(300)) + sqrt(300) + (-5*(2 + sqrt(300)) - sqrt(300)))**2.\nAnswer: 900*sqrt(3) + 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 6. Let k(o) = -6*o + 28. Let r(j) = -3*k(j) + 14*s(j). Let z(v) = 11*v. Give r(z(i)).\nAnswer: -110*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3530.\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -0.4, -1\/2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -1891454035013.\nAnswer: 1891454035008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 427655*a + 2138272. What is b(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 61366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 3*v + 2*v)*((-v + 0*v + 0*v)*(3 + 2*v - 3) - 5*v**2 - 1 + 1)*(-103*v + 54 - 111*v + 215*v).\nAnswer: 7*v**4 + 378*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 236570 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 362 + 134. Suppose -t = 5*r - 2*m - 3332, 0 = -4*r - 5*m + 2282. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 7. Calculate z(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376465?\nAnswer: 5, 17, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000110110110100 (base 2) to base 9.\nAnswer: -224543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*1\/14 - (-2)\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55904510?\nAnswer: 2, 5, 101, 55351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:43 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 436 = -652. Let q = b - -136. Suppose -4*d + 2 + 6 = 0. Solve q = 3*k - d - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312594 is divided by 950.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -80*l**2 + 5*l + 38. Is d(-29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(343) - (sqrt(343) + -2)**2) + 2 - (1 + -2 + sqrt(343)))*3 + 5).\nAnswer: -84*sqrt(7) + 1027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -155*b**2. Let v(o) = o. Let z(r) = r. Let u(i) = 6*v(i) - 5*z(i). What is a(u(j))?\nAnswer: -155*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132 - 59 - 29 - -20?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154\/3 - -52. Let m = 59 + -52. Suppose -m*c = -5*c - 5*c. Is x > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 350.5 - 350.5003658. What is a rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 332 + -338. Let k be (i + 7)*4\/14. Factor 10\/7*t + k*t**3 + 4\/7 + 8\/7*t**2.\nAnswer: 2*(t + 1)**2*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, d: 2, z: 4, s: 2, u: 2, p: 2}. What is prob of sequence upz?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - s + 6*s - 1 + 1 - 6*s + 2*s + 2*s + (2*s - s - 2*s)*(-4 - 2 + 5) - 3*s + 1 - 1.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -438708 != -438708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26933.\nAnswer: 23, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 46*o**2 + 311*o + 10391. Calculate z(-11).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 times -3.9?\nAnswer: -1489.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/(-198))\/(12\/(-918)*-75 - 1)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 27. Let x be (-3*(-6)\/9)\/(-7). Let f = -13.4 + 12.4. Which is the smallest value? (a) g (b) f (c) x (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4595 is divided by 637?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-0.26.\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-182)\/(-455)*(-5)\/(-12)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 18*l + 23. Let c be u(-16). Let t be 6\/c*3 + (-24)\/(-1). Calculate the highest common divisor of t and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 3. Let o be q(5). What is the common denominator of 3\/16 and (-53)\/8 + (-5 - o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 7 + 0*l - 3\/2*l**2. Let r(o) = 2*o. Determine r(h(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6174 - 6168. Let m = 8 - 4. Let c = m - 3.6. What is the nearest to y in 1, -3\/4, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23544 divided by -108?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 9*q**2 - 2*q - 24. Let g be p(-9). Put -2, g, 2 in decreasing order.\nAnswer: 2, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1080 = -12*o + 1092. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9\/4)\/(a**(-7)*a))\/(a**3\/a)**(1\/70) assuming a is positive.\nAnswer: a**(521\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 984042 by 6.\nAnswer: 164007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l = -70. Let h be (21\/12)\/((-155)\/(-3720)). What is the greatest common factor of h and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(1200)*1).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**2 - 53*f**2 + 16*f**2 + 18*f**2 + 8*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -52c903 (base 13) to base 3\nAnswer: -10122122012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1.2, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20756765 + 64550*m + 20756765.\nAnswer: 64550*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 12. Let r(z) = -a*z - 2*z**2 + 5*z. Let v(t) be the first derivative of -t**3\/3 + 1. Determine r(v(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*s + 3*s - 28, 14 = n - 3*s. Is (n\/(-35))\/((-2)\/120) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i. Suppose 140 = 12*l - 160. Let g(b) = -45*b. Let d(f) = l*t(f) + 6*g(f). Let r(q) = -31*q. Give r(d(s)).\nAnswer: -155*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -239 + 263. Let x = -34 - -58. Calculate the smallest common multiple of x and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0069 - 22.7069. Round q to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6485*v + 531710. Calculate m(82).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*z = 2343, 0*j + 3*z + 1893 = -4*j. Let b = -455 - j. Solve 5*o = -4*t - 0*t, 4*t + b = -o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3580129 is divided by 585?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20121111001 (base 3) to base 8.\nAnswer: -376102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4 + 2*c - c + 3. Suppose -k = -26 + 27. Let n(h) = -h**2 + h + 1. Let y be 14\/10 - 6\/15. Determine k*r(j) + y*n(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*g - 10 - 0, 25 = -5*g. Let h be 5\/60*(-3)\/2. What is the closest to 0 in p, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3102672.19 to the nearest ten thousand.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - ((20 - 9) + -45).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1522 + 1421.1. Let q = 101 + d. What is the biggest value in q, -3\/8, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(30))\/sqrt(10) + 4.\nAnswer: -2*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 122 = o, 3*x - 5*o - 106 = -10*o. Suppose -5*q - 5*j - 29 = 6, 4*j = 8. Let p = 26 + q. Solve p = 5*n + x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s + 0*s - s**2 - 11*s + 3*s to the form h + c*s + p*s**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 - 84*o**2 - 28*o - 1201. Give g(-42).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*l - 22139992, 3*l + 373*a - 374*a = 22140008. What is l rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1400 = -5*g - 100. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -130?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(44) - sqrt(44)*1)*2 - sqrt(176)*2))**2 + (-1 + sqrt(275) + 1 + sqrt(275) + sqrt(275) + 1 + -2 + -1)**2.\nAnswer: -92*sqrt(11) + 3187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2413.6564 + 0.3436. Let z = -2467.22 + p. Let m = -53 - z. What is m rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 45 = -4*y. Let u = y + -7. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {k: 1, l: 1, q: 1, j: 1, d: 1, n: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**4 - 2*u**4 - 3*u**2 - 34*u**3 - 7*u - 29*u**3 + 69*u**3 in the form m*u**4 + v + r*u + j*u**2 + a*u**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-16) - 14\/(-4). Suppose -8*z = -j*z - 20. What is the greatest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2292 and 422796.\nAnswer: 80754036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 47 = 5*p, -5 - 22 = -2*l - p. Let c(n) = n - 7. Let f be c(l). Suppose 0*v**4 + 7*v**4 - 3*v**3 + 19*v**3 + f*v**2 = 0. What is v?\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = -2*t - 1068, -4*q + 35*t - 296 = 31*t. Which is the closest to 1? (a) -3 (b) -3\/4 (c) -4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**7\/14 + 4*k**6\/5 - 27*k**5\/10 + 27*k**3\/2 - k - 64. Factor r(u).\nAnswer: -3*u*(u - 3)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373610 is divided by 130.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 4*c - 4. Let a be q(-5). Let f = -9 - a. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4 - 48. Let r = f - -24. Suppose r*u - 3*u = -31. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.0652 + 1.3652. Let r = -2.65 + 0.6. Let q = 0.05 + r. Which is the third biggest value? (a) q (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -120735, -120813, -120929, -121077, -121251, -121445?\n\"Answer: q**3 - 25*q**2 - 10*q - 120701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 14 (c) 55 (d) -4 (e) 37 (f) -0.2 (g) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8142 and 506928.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673768161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -242299, -242359, -242405, -242431, -242431, -242399, -242329, -242215?\n\"Answer: z**3 + z**2 - 70*z - 242231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f - 8. Let x = 190 - 200. Let g be (x\/(-6))\/((-24)\/72). Let t(w) = -4*w - 5. What is g*j(d) + 8*t(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7920.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*f - 3*r, -8 + 50 = 4*f + 3*r. Let v = f - 8. Solve -4*b + 3*x + 4 = 0, 5*b + v - 3 = 3*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282*0.1\nAnswer: -28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 704 and 384.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8572279 litres to millilitres.\nAnswer: 857.2279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8849, 33478, 74503, 131918, 205717, 295894?\n\"Answer: -k**3 + 8204*k**2 + 24*k + 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*2*sqrt(56)*-6)\/(sqrt(392)*1*-6).\nAnswer: -2 + 10*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/3 - 428*y**2\/3 + 3242*y\/3 + 951188\/3 = 0. What is y?\nAnswer: -211, -49, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 84003 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -44.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + (-17 - -24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**5 - 11268*w**4 - 56276*w**3 - 101260*w**2 - 78744*w - 22496 = 0.\nAnswer: -2812, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*t + 0*t - 6*t)*(0 - 2 - 1) - 4*t + 3*t + 3*t + t - 17 + 13 - 15)*(-4 + 2 + 0)*(-1 - 15 + 35) in the form b*t + z and give b.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -18, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**24*(o**(-2\/21)*o)\/o assuming o is positive.\nAnswer: o**(502\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0 (c) -2\/13 (d) 41\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**4*((i*i*i**(1\/4))\/i)\/i)\/(i**(-2\/3)\/((i**(2\/37)\/i)\/i)) assuming i is positive.\nAnswer: i**(-1345\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -111 * 266.077\nAnswer: -29534.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.0447 - -0.1965\nAnswer: 0.2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 47*a**2 - 9*a - 22. Let l(p) = -16*p**2 + 3*p + 8. What is -6*k(w) - 17*l(w)?\nAnswer: -10*w**2 + 3*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59\/2*v - 1\/2*v**2 + 30.\nAnswer: -(v - 60)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (7 - 1) + 2 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1)*s**1\/s*s**(-12\/5)\/(s*(s**(-3\/4)\/s)\/s) assuming s is positive.\nAnswer: s**(-33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/10 + 33\/11)\/1.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -302 - 230. Suppose 20 = -71*k + m*k. Solve 6 = -2*n - k*w, -3*n - 2*w = 3*w + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(13\/2))\/y**(-21\/4))\/((y**(-15)\/y*y)\/(y**(-43\/4)\/y)) assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.365. Let j = r - -0.07. Round j to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -34*s + 120 - 25 + 65 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 7*k + 4*k + 175, 140 = 4*y + 2*k. Calculate the remainder when 589 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + 2 - 2 + (0 + 0 + m)*(-2*m**2 - 2*m**2 + 3*m**2) - 4*m**3 + 0*m + 0*m.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20426022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30)\/4)\/(3\/(-6)). Solve 2*a + a = -t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14806 is divided by 135?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.106 - 0.206. Put 0.27, 2\/17, g in descending order.\nAnswer: 0.27, 2\/17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/(335*(-30)\/6030)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013351346 to four dps.\nAnswer: 0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = 4*j, 0*g - 5*g + j + 10 = 0. Solve 5*x - 20 = -2*c, -4*x - c - g = -15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:45 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5135052*f**2*p**3 - 3462*f**2 - 12*f + 1 with respect to p.\nAnswer: 15405156*f**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4 - 14. Let k(v) be the first derivative of 2\/3*v**3 + 0*v + v**2 - s. Determine t, given that k(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 11:05 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 54530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -398155 + 5.\nAnswer: -398150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1428486829 to the nearest integer?\nAnswer: 37795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123917*g + 123920*g - 2 = d, 16 = -d - 4*g for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 283250360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 2. Let c(n) = -n**3 + 6*n**2 - 3*n + 3. What is the remainder when 44 is divided by c(h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235991 by -3.\nAnswer: -235991\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-2) + (-4)\/8. Let s = 3 + 0. Suppose 0 = -c*l + s*l - 4000000. What is l rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 52, 151, 338, 643, 1096?\nAnswer: 1727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -12*a - 714. What is the remainder when 214 is divided by m(-64)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 961062*g**3 - 2*g**4 - 27 + 7*g**2 - 3*g**2 - 961068*g**3 as q*g**2 + p*g**4 + u + m*g + x*g**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1 + 2*w + 0*w - w - 3*w. Calculate the lowest common multiple of 1 and n(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23421 + 4*p**2 - 46779 + 23358.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 22. Suppose 0*i - i + d = 0. What is the remainder when i is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(180) + (sqrt(180) + -2)**2 + sqrt(180) - (sqrt(180) + -2 + -1))*-1.\nAnswer: -183 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 73 + 2 = 0. Solve 4*p = -p - w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21778 less than -21779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*s + 4*p + 52 = 0, 0*s - 2*s + 10*p = 30 - 76 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 666?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16694418?\nAnswer: 2, 3, 13, 214031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*u - u - 4*u + (0 + u + 0)*(-2 - 2 + 2))*(61*u + 49*u - 31*u) as o*u**2 + d + h*u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171542 + -3601492\/21. Let m = -68\/7 + v. Solve m + 2\/3*q**2 + 28\/3*q = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434008966.\nAnswer: 2, 217004483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -14385*w + 13150. What is o(1)?\nAnswer: -1235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6 + 2*x**2 - 8 - x**2 + 3. Let j(p) = -11*p**2 - 3. What is -5*f(g) - j(g)?\nAnswer: 6*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 721139*b**3*z**3 + 2*b**3*z**2 + 5*b*z**5 + 2*b*z - 550937*z**2 wrt z?\nAnswer: 4326834*b**3 + 300*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -340*c**3 - 4*c**2 + 472*c**3 + 0*c + 0*c to k + i*c**3 + h*c + a*c**2 and give i.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192 - 37*v**2 - 321 + 2*v**3 + 53 wrt v.\nAnswer: 6*v**2 - 74*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -9*r**2\/2 + 4*r - 1. Let u(m) = m**3 + m**2 + m - 6. Let j be u(0). List the prime factors of c(j).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3676? (a) -5 (b) 1 (c) -3\/5 (d) 1.5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - -71. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1254*z**2 + 5*z - 1. Let t(i) = 4*i - 24. Let b be t(7). Let n be w(b). Is (-3)\/(-6) + n\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 98, -51, -406, -1033, -1998, -3367, -5206?\nAnswer: -7581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 31980 divided by -3\nAnswer: -10660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*u - 6. Suppose 0*x - u = -x. Suppose h - 4*d = 11, -x*d + 22 = 2*h + d. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*h - 3*h**4 - 2*h**6 - 2*h**2 + 62*h**5 + 110*h + 3*h**4 wrt h.\nAnswer: -240*h**3 + 3720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.436 and -684.095959.\nAnswer: -684.531959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 16, 1, 10 in decreasing order.\nAnswer: 16, 12, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 73*s - 72*s - 5912, 2*y + 3*s = 5924. Is y a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-2)\/4)\/(4\/(-202)))\/(-1))\/(727\/(-2908))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*2*6 - (sqrt(91) + sqrt(91)*-1*6 - sqrt(91)))\/(-3*(sqrt(28) - sqrt(7)) - 5*-1*sqrt(7)).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 3. Let r be m(-7). Suppose -o - 8 = -p - 2*p, 0 = r*p - 4*o. What is the closest to 3 in p, 0.1, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 5:24 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13633 = 10*d - 41717. List the prime factors of d.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/6)\/((-24)\/(-4848)) - 12\/(-9). Let m(v) = -v**3 + 34*v**2 + 32*v + 95. Give m(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 1 + 2 + 31 + (-45 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*5\/(-2)*(-24)\/(-30). Suppose 168*s - 173*s - 20 = 0. Put 5, 2, s, i in ascending order.\nAnswer: s, i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 - 1)\/(((-85)\/(-2465))\/(-27 - 2)). Which is greater: -7571 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9382 is divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 72*q - 856. What is the remainder when o(29) is divided by 96?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3591 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*s + 2*f, -4*s = -0*f + 3*f - 5. Solve s*z = -7 + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 46*b - 332. Calculate o(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.5301 hours to microseconds.\nAnswer: 27108360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 7*n + 5. Let z(d) = 3*d + 14. Let y be (-594)\/(-12) + (-2)\/4. Suppose y = -7*u - 0*u. Let j be z(u). Give g(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r. Let o(t) = -23*t. Determine o(q(k)).\nAnswer: -207*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4755455?\nAnswer: 5, 951091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 48 - 41) + -40?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 427882 + -302940517\/708. Calculate the common denominator of 107\/22 and p.\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h + 50. Let n = 93 - 87. Let w be x(n). Solve w*o = 3*z + 8, -z - 6*o = -2*o - 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 12. Let w(p) = 4. Let v(t) = -r(t) + 3*w(t). Let q be (-5)\/(-2) + 1\/(-2). Let b(a) = 1 - 2*a**q - 1. Determine b(v(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4 - j**3 + 18*j - 34*j + 17*j. Let g be c(-6). Suppose -5*h + 4*b = -g, h - 5*b - 10 - 48 = 0. Calculate the remainder when h is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516 divided by 6.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 127373953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 6*l**2 + 7*l + 2. Let i be v(7). Solve -5*j = -3*t - 3*j - 12, -i*t = -5*j + 19 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -139 + 170. Suppose 0*l + 5*l - 40 = 0. What is the remainder when z is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**7\/1260 - 29*t**6\/360 + 841*t**5\/360 + 641*t**2. Factor m(s).\nAnswer: s**2*(s - 29)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - 19*x**2 - 143*x + 19. Calculate the remainder when m(15) is divided by 60.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-20)*i**14\/i)\/(i**(-16)*i\/(i**(-1)\/i)) assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 640051 and 1631.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t. Let f be 5\/(-15) - 30\/(-9). Let d(k) = k + 1 - f + 2. Calculate d(u(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -1.5. Let x = 318.3 + -6.3. Let z = -307 + x. Sort z, p, 5\/4, 2\/11 in increasing order.\nAnswer: p, 2\/11, 5\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**3 + 2*m - 8 + 7 + 2*m**3. Let t be d(1). Let p(c) = -c**3 + 8*c**2 - 5*c - 9. Let z be p(7). Put z, 3, t in ascending order.\nAnswer: t, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*j - 2, -w + 17 = 3*w + 5*j. Suppose -468 = -4*c - 22*c. Calculate the least common multiple of c and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from vtvgggggvv?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*k**5 + 19*k**3 + 3*k - 43?\nAnswer: 180*k**3 + 114*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15036*x + 17838*x - 15566*x - 16122*x.\nAnswer: -28886*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 + 3*s + 3. Let w be ((-4)\/5)\/(20\/50). Calculate x(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3931*r**3 + 1833*r**3 - 175 + 51 - 34*r**2 + 53 + 58 wrt r?\nAnswer: 34584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -175, -226, -273, -316, -355, -390?\n\"Answer: 2*h**2 - 57*h - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 41256*h + 106378596.\nAnswer: 4*(h - 5157)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72214871*u**3 - 25526969*u**2.\nAnswer: 433289226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.6774 take away 37?\nAnswer: -51.6774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 3*k**2 - k + 3. Let q be o(3). Put -1, q, -3 in ascending order.\nAnswer: -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*l + 19 = -n, 2*l - 2*n = -22. Let u = l + 23. Suppose -2*m = -6*m + 288. Calculate the highest common factor of u and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -6631346336402*q**3\/7 + 19894068143590*q**2\/7 - 87403184*q\/7 + 96\/7 = 0?\nAnswer: 4\/1820899, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) + 12\/(-5). Let q be h\/(-5) - 2\/5. Let s = 6 + -6. Solve q = 3*p - 15, 4*f + p + p - 14 = s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 288.2?\nAnswer: 288.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 19 = -5*h, -195 = 5*j - 175 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157 - -157. Which is smaller: -3\/239 or i?\nAnswer: -3\/239","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -7, -40, -107, -220?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b - 7. Let r be t(12). Let y = r + 30. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2\/(-8)*-8. Solve o - w = f - 3, 5*o = -5*f - 15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {u: 4, s: 3, h: 4, v: 7}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 = -11. Let t be (6\/9)\/(w\/(-33)). Solve 0*k + t = -2*k - 3*y, 2*k - 2*y = 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -616.36 * -1\nAnswer: 616.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((9\/(-3))\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8432 - 12*b**2 + 2*b - 183*b**2 + 8432 to the form a*b**2 + g + c*b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1777*m**3*q - 8*m**3 + 25*m**2*q + 82*m**2 + 4*m*q + 97*q - 52906 wrt q?\nAnswer: 1777*m**3 + 25*m**2 + 4*m + 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 0.0880651?\nAnswer: -0.1119349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d, -p + 0*d = -4*d - 16305. Let x be ((-13)\/(-8))\/((-6)\/p). Let a = x + 4411. What is the common denominator of -69\/16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.79148 to two decimal places.\nAnswer: -6.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(343) - sqrt(343)) - (-2 + sqrt(343)*-2))**2 + -4 - ((-2 + sqrt(343))**2 + 3 + -4)*4.\nAnswer: -12 + 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3862 times -2.1\nAnswer: 8110.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**2 - 5*m**2 - 7*m**2 to v*m**2 + o + r*m and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 29. What are the prime factors of i(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/16)\/(6\/264*2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4. Let i be (m - -2) + (31 - 1). Does 13 divide (i\/2)\/(4\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from lulluu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10564*o + 10567*o + 6*x - x + 75, 100 = -4*o - 2*x for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48844.24 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2068389 and 108.\nAnswer: 8273556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (193*l - 106*l - 109*l)*(0*l - l + 0*l + (3 - 2 - 3)*(-2*l + 1 - 1) + 0*l + 5*l - 3*l).\nAnswer: -110*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1584922 is divided by 105658?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055739 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - a + 1. Let k(u) = 10*u**2 + 2*u - 4. Let w(x) = -k(x) - 3*y(x). Give w(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 1)*-1 + -1*(-1 + sqrt(180)) - (0 + sqrt(180) + sqrt(180)*-2*1))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(-3*sqrt(11)) - (5 + sqrt(44) + sqrt(11)).\nAnswer: -10*sqrt(11)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 5, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - 33*c**2 - 17*c + 17. Let h be m(-16). Let n be 1\/(-1)*23*-3. Let w = n - h. What is the remainder when 105 is divided by w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -11*a - 2 - 10*a + 25*a. Let l(s) = -s. What is -b(q) - 6*l(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2865 - -26?\nAnswer: 288b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-26)*1\/((-3)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 436 and 59704423.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 183 = -167 + 8. Solve t + g = -4*f + 1, -5*t - 14 = f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3175*q = 921*q - 7590 - 3680 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 9 = -4*m. Let o be (-6526)\/4 + m\/(-2). What is o rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (61 + -56)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*p = -1280, -5*h = -3*p + 6*p - 1285. Suppose 0 = -a + 5*a - h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 4:19 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 4*m - 15, 4*p = -4*m + 4. Suppose -r + 3*x = 2899985, -3*r + 2738046 = m*x + 11438066. Round r to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8284 (base 11) to base 10\nAnswer: -10982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 280140 = 77*g. List the prime factors of g.\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -27941.\nAnswer: 43\/27941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 2:24 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 384432880 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -15*u. Let w(f) = 135*f**2 + 25*f + 75. Let y(h) = -11*h**2 - 2*h - 6. Let k(o) = 4*w(o) + 50*y(o). What is k(t(i))?\nAnswer: -2250*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 54*m + 341. Let d be g(11). Let j = 983 - d. Calculate the highest common factor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6900037, 13800061, 20700085, 27600109, 34500133?\nAnswer: 41400157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 + 33\/16)*(-81 - 0) and -81\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14280 is divided by 114.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.975 - -0.025. Let z = 146 + -1604\/11. Let v = -96 + 96. What is the closest to -0.1 in v, h, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9117320 divided by -2279330?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)*4)\/(sqrt(75)*-3).\nAnswer: -4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(117)*-2 + sqrt(117) + (sqrt(117) - (4*sqrt(117) - sqrt(117))*-3))\/(-3*sqrt(225)*-3*-6))**2.\nAnswer: 13\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (56340\/(-1440) - 2\/(-16))\/(0 + 1)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 343754003\/7 and 49107716 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + 31. Let d be 3 - (2 + r\/(-9)). Let k = -16 + d. What is the closest to k in 3\/8, -9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58 - (6 - -25)) + -23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -51, -1\/2, -1, 11\/1801, 3?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13110204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**4 + 3*r**4 + 3*r**4 + (24 - 24 + 15*r)*(-r**3 + 2*r**2 - 2*r**2) to n*r**4 + o*r**2 + w + u*r**3 + z*r and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1197 (base 13) to base 2.\nAnswer: -100110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2838 + j**2 + 2838. Suppose -3*x + 21 - 9 = 0. Suppose 2*i - 3*h = -1, i + h - 34 = -32. Let k(z) = -6*z**2 + z - 2. What is i*k(r) + x*f(r)?\nAnswer: -2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2082791 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*-6*(-4)\/48?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b2 + -77742?\nAnswer: -77560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -18322*k + 4653786. Calculate f(254).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**11*j*j\/(j**(6\/13)\/j)*j**(-2)*(j*(j**(-5)*j)\/j)\/j)**(-2\/69) assuming j is positive.\nAnswer: j**(-170\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2179129 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16890*y - 16994*y - 104. Put y, -37, 10, 5, -2 in increasing order.\nAnswer: -37, -2, y, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -92\/99401 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 15 - 736\/(-32))*47\/(-3)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times -70279?\nAnswer: 5622.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4073*g + 1079*g - 8668*g - 2149*g in the form a*g + z and give a.\nAnswer: -13811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 41766 divided by 41766\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 17 = -3. Let x = 35 - u. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-56)*(-2)\/9)\/((-11)\/(-88))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 29 = -i, 2*i + 16 = 2*r - 2. Suppose -27 = -4*p + r. Let m be (p\/380)\/(1\/5). Which is the second smallest value? (a) -2\/5 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 300*a**2 - 13*a + 16. Suppose 3*q = -4*f + 35, 2*q + 5*f = 17 + 18. Is h(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -188 + -4?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50124 and 7452?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 3406.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Let d(y) = -y**2 - 4*y + 4. Let b be d(-4). Calculate the smallest common multiple of ((-2)\/b)\/(2\/(-80)) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-2)*88\/(-12). Let c be (-2)\/8 - x\/16. Solve c = -2*a, -3*t - 5*a = -5*t + 24 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-10) - 42\/(-30). Suppose -2*p = 2*w - 235 - 431, -4*w - r*p = -1336. Suppose -17*u + w = -12*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 43*x = 46*x - 2510821. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -19*r - 776. Let q(o) = -5*o - 197. Calculate -22*q(t) + 6*x(t).\nAnswer: -4*t - 322","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/19)*i**(-2\/3)*i**2\/(i\/(i*i**(-1\/3))))\/(((i*i**0*i)\/i)**(1\/11))**10 assuming i is positive.\nAnswer: i**(250\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 22 + 22 - w**3 + 0*w**3 in the form c*w + n*w**2 + v*w**3 + j and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15533 divided by -32\nAnswer: 15533\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*(2 + sqrt(153)) + sqrt(153) + 2 + -5)**2.\nAnswer: 108*sqrt(17) + 1413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34269*g + 17134*g + 17146*g - 77 to the form z + p*g and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iai when three letters picked without replacement from {a: 4, i: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10}. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5202, -5025, -4848, -4671?\nAnswer: -4494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 777618160997 + 777618160997.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35ec7 + -1c?\nAnswer: -35ee3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0981078m to micrometers.\nAnswer: 98107.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81983 + 115900 = 24*h - 188805. What is the greatest common divisor of h and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/6))**1\/(a**(7\/2)\/((a\/a**(-10\/11))\/a)) assuming a is positive.\nAnswer: a**(-47\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -805444, -805446, -805448, -805450?\nAnswer: -805452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 42886883 to the nearest ten thousand.\nAnswer: 42890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/79729, -2\/17, 27, 0.3 in ascending order.\nAnswer: -2\/17, -12\/79729, 0.3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*-1*(5 + (-2*sqrt(605) - sqrt(605)) + 4) + -3)**2.\nAnswer: -155232*sqrt(5) + 1415529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.577976 months to decades.\nAnswer: 0.0381498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11958719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -168*y - 839. Let j be k(-5). Is j < -1\/3946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + s**4 + (0*s - 2*s + 3*s)*(1378*s**2 - 18*s**3 - 1378*s**2) to the form u*s**4 + o*s**3 + i*s + g + a*s**2 and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-425 + 425 + 67*z)*(-1 + 1 - 3)*(-2 + 0 + 3).\nAnswer: -201*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -13*r + 2 - 9*r + 3 + 21*r. Let i be j(1). Let t(z) = 1 + z + 0 - 4. Calculate t(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.11, 3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2510, 5048, 7586, 10124, 12662?\nAnswer: 15200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**2 - 130826840*p + 855783103219280 = 0.\nAnswer: 13082684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 642 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 5*d - 6. Let h be t(-7). Let n = 36 + h. Solve -i = -5*i - n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 175.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/888287 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h + 348. Let o be v(-29). Let u be (-4)\/6 - (-23)\/30. Which is bigger: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10*-1)\/((-158)\/(-1185))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -313, 19071 in increasing order.\nAnswer: -313, 5, 19071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 6:01 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*t - 0. Let l(i) = -i**2 - 5*i - 8. Let a be l(-6). Let c = 15 + a. Put t, 0, c in decreasing order.\nAnswer: t, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1454)\/(-48))\/((-1)\/3). Let s = a + 91. Let x(c) = -c**3 + 23*c**2 - 167*c + 316. Let w be x(3). What is the third smallest value in -4, w, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.37624 millennia to years.\nAnswer: 23376.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 238927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Suppose h*y = -y. Suppose -5*d - 4*g + 40 = y, 0*d + d = 2*g + 22. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g + 76 - 14 = 0. Let x be (10 + -8)\/((7\/g)\/7). Solve -a + 8 = x*m - 2*a, 5*a + 23 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r**2 - 6*r + 60. Let w be p(-16). Suppose -10*a + w = 10*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 6)*(3 + 2 - 6)*(-i + 3*i - i)*(4*i - 5 + 5)*(-219*i - 2*i**2 + 219*i - 177) to the form z*i**2 + x + k*i**4 + d*i**3 + j*i and give z.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 59 * -1.68931\nAnswer: -99.66929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 5:09 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14282 - -14297. Which is the second biggest value? (a) -3 (b) -2 (c) -1\/7 (d) g (e) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68659956 + 0*i + 68659959 - 205979876 + 68659961 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**3 - 3*m**2 - m - 15. Let w = 65 + -71. Let z be o(w). Calculate the common denominator of ((-4)\/(-30))\/((-24)\/z) and 89\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 176 - 25)*(-c + 2 - 2)*(3 - 3 - 1).\nAnswer: 99*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3060 is divided by 996.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-6)*k)**(-1\/45)*(k\/(((k*k**15)\/k)\/k))**(1\/3) assuming k is positive.\nAnswer: k**(-191\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193\/4 + -73. Suppose -13 = -5*k + 7. Calculate the common denominator of (166\/42)\/(k\/(-6)) and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/(2\/8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 811156*m**2 - 95*m + 10538 wrt m.\nAnswer: 1622312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.3, -0.06, 2\/9, -0.96, -0.01?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47568*j**4 - 46596*j**2 wrt j.\nAnswer: -1141632*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1008) + 1 + 5 + (6*(1 + sqrt(175)))**2.\nAnswer: 372*sqrt(7) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/2 - 5*i**2\/2 - 2*i = 0 for i.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -25 (c) 1\/6 (d) 0.07 (e) 3 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-nine fifths of a microsecond?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13299, 26695, 40091?\n\"Answer: 13396*u - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 q when four letters picked without replacement from nqqnnnnqqqnkn.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19204276.65 rounded to the nearest one hundred thousand?\nAnswer: 19200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 bigger than 1077579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5816 times -3.11\nAnswer: 18087.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 806038001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/4065984 and 5\/16.\nAnswer: 4065984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 262, 1069, 2414, 4297?\n\"Answer: 269*u**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 622, 877, 1136, 1399, 1666?\nAnswer: 1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 4:26 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1413 or -1831?\nAnswer: -1413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 7. Suppose 3*v + v = 56. Calculate the remainder when 230\/4 - 7\/v is divided by g(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103\/8 less than -0.47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -534612625 times 5?\nAnswer: -2673063125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4382*k + 1351*k - 162862 - 82793 + 10602 = 0 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 23*h - 16. Give q(9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 9 - (-1 + 5 + 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*g**3 + 52*f**3*g - 1277*g**3 - 10*g**2 wrt g.\nAnswer: -12*f**3 - 7662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(726)*-1)\/((sqrt(3)*-1 - sqrt(3))*2) + 3.\nAnswer: 3 + 11*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjn. Give prob of picking 4 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 18*n**2 - 18*n - 5. Determine a(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 3011268 + 2059*q + 3011268 to the form z*q**2 + k + p*q and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 41*o + 311. Give q(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a**(1\/3)*a)\/a)))**(-5\/3) assuming a is positive.\nAnswer: a**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-10 + (-19 + 9 - -20))) + -6 + 99\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -529 + 145 = 8*c. Find the common denominator of c and -71\/225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 16*s**2 - s - 2. Let i be w(-7). Let v = -3111\/4 + i. What is the common denominator of v and (3965\/(-10))\/13 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -325 > -320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -176 and 0.05.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13172694.\nAnswer: 2, 3, 59, 127, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82261\/15 - -5482. Let c = d - -12\/5. What is the biggest value in -4\/7, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - -8.04. Let d = -1\/2 + 5\/18. Which is the closest to g? (a) d (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 13*s**4 - 439777*s**3 - 3*s**2 - s + 439778*s**3 + 1 to the form n*s**2 + a*s + z*s**4 + t*s**3 + j and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 532367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*t**4 - 15*t**3 + 3*t**2 + 3?\nAnswer: -144*t - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -0. Let v be o + 3*2 + -2. List the prime factors of ((-14)\/(-1))\/(v + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2 and 1*(238\/12 + 9\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z - 3. Let y be g(2). Suppose 4 - 26 = -11*d. Suppose 4*f + 0*n - 20 = -n, d*f = 4*n + 28. Solve -f*w = -y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(-7))\/l*l*l*l**(-1\/5)\/l)**21 assuming l is positive.\nAnswer: l**(-546\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 6.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -22. Let x(q) be the third derivative of -2*q**5\/15 + q**4\/6 - q**3 - q**2. Let r(f) = 23*f**2 - 11*f + 17. Calculate b*x(d) + 6*r(d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-130 - -108) + (4 - -10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-24))\/((40\/192)\/((-40)\/(-32))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 7 = -8. Let y(o) = o. Let u(p) = -7*p - 3. Let j(k) = -13*k - 6. Let h(v) = j(v) - 2*u(v). Determine c*y(l) + 2*h(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51958369.\nAnswer: 19, 163, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmjl when four letters picked without replacement from jwimlimmli.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 4:39 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**2 - 636716*p - 50675908082 = 0.\nAnswer: -159179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119297*h + 119299*h - 26 + 26.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -487, -467, -427, -361, -263, -127?\n\"Answer: g**3 + 4*g**2 + g - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2663170)\/1150)\/(2\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -635863 + -392?\nAnswer: -636255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188315 is divided by 393?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*b + 53*b**2 - 148*b - 144*b + 441*b.\nAnswer: 53*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 19*u - 13. Let c be k(17). What is the highest common divisor of c and 2541?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.8 - 18.2. Let l = -18 + -5. Let i = s - l. What is the closest to 1\/3 in -0.3, i, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(75))**2 + sqrt(12)*1.\nAnswer: 2*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4564bd (base 15) to base 13.\nAnswer: -8bc648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/36*(-171 + 1)*-1. Let d = w + -132. Solve d*j + 2\/9*j**3 - 4\/9*j**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4153170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105907382*g**3 - 31620689*g**2?\nAnswer: 635444292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 23*m**2 - 1\/6*m**4 + 0*m + 2\/3*m**3 + 1\/60*m**5 + 0. Factor b(a).\nAnswer: (a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.276952mg to grams.\nAnswer: 0.006276952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (6*(sqrt(84)*4 - sqrt(84)) - sqrt(84) - sqrt(84)) - sqrt(84))\/sqrt(12).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 3, w: 4, d: 5, z: 1, y: 4}. What is prob of picking 1 k, 1 w, 1 y, and 1 d?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 266 = -2*c, 129 = 5*b - 5*c + 464. Let n = -34 - b. Suppose -4*k + 8*k - n = 0. What is the remainder when k is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**4\/2 - a**2 + 17454*a. Suppose -4*q + 4*m = -12, 0 = 5*q - m + 2*m + 15. Let o(k) = 18*k**2 - 7. Give q*o(f) + 7*y(f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 41*k**3 - 2*k + 0*k.\nAnswer: -41*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(-4\/7))\/a)\/a*a)**(5\/4)\/(a**(-8)\/(a\/(a\/(a**8\/a*a*a)))))**(-22) assuming a is positive.\nAnswer: a**(-2728\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -85, -184, -319, -490, -697, -940?\n\"Answer: -18*p**2 - 9*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 0.1 (c) 18196 (d) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u - 5. Let y(k) = -k**2 - 7*k + 13. Let p be y(-9). Let i be s(p). Suppose 2*x = w - 55, 4*x - 3*x = 4*w - 45. Is i at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -107610.11 * -0.08\nAnswer: 8608.8088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -327\/20558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3.7 * -23945.7\nAnswer: 88599.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**3\/6 + 6*m**2 + 2*m. Let u(w) = -175*w - 1037. Let a be u(-6). Is 18 a factor of d(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13490543 >= 13490542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 3697, -164 in increasing order.\nAnswer: -164, 17, 3697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*p + 35*p = -208. Let l(g) be the third derivative of 0 - 1\/70*g**7 + 5\/2*g**p - 4*g**3 + 7\/40*g**6 + 0*g - 9\/10*g**5 + 8*g**2. Factor l(v).\nAnswer: -3*(v - 2)**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 165, 655, 1463, 2583, 4009, 5735, 7755?\n\"Answer: -s**3 + 165*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 = 0, -f + 17 = 3*x + 8. Sort 14, x, 0.3, -2\/9 in ascending order.\nAnswer: -2\/9, 0.3, x, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 43*k + k - 8*k + 0*k**2 + k**2 - 42*k - 4*k**3 + 3. Give p(2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k**2 + 21*k + 13. Let p(o) = o**2 - 4*o - 1. Let m(g) = 5*p(g) + s(g). What is the first derivative of m(v) wrt v?\nAnswer: -10*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = n - 9 - 14, -2*n = -2*x + 8. Suppose -16*b = -11*b - 780. Suppose -b = 5*v - x*v. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/(-16))\/(3\/4). Suppose -2*k = -y*k + 64. Calculate the greatest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -171.00000734 + 171. What is w rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 + 1.6. Let l = q - 5.3. Let o = 5.7 + l. Which is greater: 0.1 or o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000102161 rounded to six decimal places?\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/3*1\/3. Suppose 4*g - u*y + 1160 = 0, -y = 2*g - 4*g - 580. Is (-16)\/88 - g\/22 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100130131310 (base 4) to base 15\nAnswer: -5a2485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**7\/70 - a**4\/6 + a**2. What is the second derivative of g(l) wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -5*d + 5, 115*z + 3*d = 114*z + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 53 - 237 = -3*j, -3*j - 6 = 0. Calculate the remainder when 186 is divided by o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 2*r + 150. What are the prime factors of n(-20)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 1748*h\/3 - 52345\/3.\nAnswer: -(h + 551)*(3*h + 95)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-364)\/(-18) + 4\/(-18). Suppose 2*g = 6*g - l. Let f be 10\/8 + g\/(-20). Solve f - 3 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 minutes before 4:52 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h*r**2 + 2029724*h + 29571*r**2 with respect to r.\nAnswer: -6*h*r + 59142*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -2)*(-3 + 2). Let o(z) be the third derivative of -1\/6*z**3 + 0*z + 1\/24*z**4 + 3*z**2 + p. Determine o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 6*u**2 + 6*u + 4. Let m be 2\/(-2)*4\/1. Give j(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**4 - 5*y**3 - 5*y - 2*y + 7*y**3 + 2*y**4 + y**2 as l + a*y**4 + u*y**3 + c*y**2 + h*y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, 11, 41, 103, 209?\n\"Answer: 2*z**3 - 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8069 - -22693. Does 109 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and (-38)\/(-7) + 16\/28.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 300 + -300.03. What is the second smallest value in 9\/4, 0.1, n, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + x = -167, -219 - 8 = 4*j - 3*x. Let f be (j\/(-14))\/((-2)\/(-7)). Which is bigger: f or 9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 3:46 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - k - 2*k + (3 + 1 - 3)*(-4*k - 2*k + 4*k) + k + 1 - 1.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1342, 2\/9, 1\/5, 0, -5, 4, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 152651229?\nAnswer: 152651229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 388477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/36 in -276, 9, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-3585)\/3590)\/((-98)\/(-8) + -12)?\nAnswer: -2\/359","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 - 96*b + 8665. Give t(45).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v, -4*c + 0 = 4*v - 12. Suppose -y = c, 9 = -0*h + h + 2*y. What is the remainder when h is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226 + -107. Let g(j) = -1003*j. Let v(l) = 17*l. Let s(y) = m*v(y) + 2*g(y). Let c(h) = h. What is c(s(t))?\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551.62026 microseconds to days.\nAnswer: 0.00000000638449375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 133*b**2 - 1627986*b - 333676169 wrt b?\nAnswer: 266*b - 1627986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {z: 1, x: 1, p: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (-3817)\/198)\/((-9)\/18).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g*i**3*k - 55*g*i**3 - 2*g*i**2*k + 366*g*k - 3*i**3*k - 1360*i**3 - 2*i**2*k - 2*i**2 + 5*i*k + 1 wrt i.\nAnswer: -6*g*k - 330*g - 18*k - 8160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16068\/23 - -960929\/1380. Find the common denominator of -21\/260 and f.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/72 and -74\/156765?\nAnswer: 3762360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {g: 1, e: 13, n: 1}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-2)\/2)\/((-81)\/(-162)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 10) to base 11\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 14*f**2 + 6*f + 27. What is the hundreds digit of t(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 1 + 5)*(3 - v - 3) to x*v + l and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/19 (b) -1\/7 (c) -2\/9 (d) -0.3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3185*x - 2962638 + 2962638 in the form w*x + n and give w.\nAnswer: 3185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, 0.1, 202, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 10*m**2 - 10*m + 8. Let u be a(-10). Let b(o) = -o**3 + 7*o**2 - 6*o + 7. Let i be b(5). Calculate the highest common factor of i and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -9 (b) -0.5 (c) 0.4 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3.1. Suppose 2*k = -z, 3*k = -3*z + z. Let x be 7\/3 + -2 + z. Which is the nearest to y? (a) x (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 11*h - 4. Let r be b(-7). Suppose -2*w - 666 = -6*w - 5*f, 3*f - 170 = -w. Let i = w + r. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4049785*p. Let n(q) = q. Give f(n(o)).\nAnswer: 4049785*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 5*g - 2. Let j be k(-6). Suppose -j*c - 5*f + 45 = -0*f, 2*c = 3*f - 5. Suppose 134 = -3*i + c*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48830 = -2*x - 2*n, -70*n = 2*x - 73*n - 48845. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*y + 72 - 2664 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2. Let m(x) be the third derivative of 0 + 0*x + 1\/24*x**4 + 0*x**3 + x**2. Give m(g(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.3 * -18.\nAnswer: 419.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1130 not equal to 15\/934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 6*s - 11\/12*s**4 + 3 - 1\/20*s**5 + 0*s**3 - 15*s**2. What is the first derivative of f(p) wrt p?\nAnswer: -3*p**2 - 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + u + 4. Let g = -1279 + 458. Let n = g + 818. Calculate i(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 5*z**2 - 18*z - 30. Let i be r(-4). Solve -7*l + i + 2 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9314022 divided by -3.\nAnswer: 3104674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (1388\/(-26))\/((-21)\/273) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**4 + 1269971*t**3 + 4*t**2 - 31361835 with respect to t.\nAnswer: 8*t**3 + 3809913*t**2 + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - c**2 - 3*c + 3. Let d(k) = 11210*k**3 + 1224*k**2 - 8*k + 8. Let a(i) = -d(i) + 3*x(i). Find the third derivative of a(f) wrt f.\nAnswer: -67278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 392\/49*(344\/1312)\/43.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2992813?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 612*c - 17480.\nAnswer: -4*(c - 115)*(c - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1908 divide 11717028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8*i - 144 = 0. Calculate the remainder when i is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 575 and 3350.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -10756*k**2 + 2*k**3 - k + 17128*k**2 - 2*k in the form u*k + a + b*k**2 + v*k**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12695605 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/12)\/(8\/(-240)). Suppose -30*j + o = -25*j. Put 0, 12, j, 4 in increasing order.\nAnswer: 0, j, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 45. Sort 261, -0.3, 4, z in ascending order.\nAnswer: z, -0.3, 4, 261","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 156552 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 1160*r**3 + r.\nAnswer: 1160*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7222984 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133528 is divided by 133513?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 9 = -10*d, 16*d - 20*d - 6 = -2*y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 91.23665um?\nAnswer: 0.009123665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 831471127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19975 to 3 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*v - 61, 4*v - 106 = -5*d - 33. Solve 0 = -j - 5*r + 19, j + 2*j = -4*r + d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*z**2 - 48*z**2 + 3*z**3 - 2*z + 3*z - z.\nAnswer: 3*z**3 - 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**17\/r**(-1)*(r**(-9))**(5\/3) assuming r is positive.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1 - 1 - i. Let x be t(6). Let l(j) = -2*j**3 + 10*j**2 + 8*j - 4. Let h be l(x). What is h rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*((-9)\/(-6))\/1. Suppose -f = n - 13. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 416359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 600629 at most as big as 600634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfogoffofoggooooffoo. Give prob of sequence ffg.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 3 - (2 - -9 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*t + 39 = 0, 2*y + 2*t = -2*y + 18. Let u be (11 + -13)*(14\/(-4) - -2). Solve -3 = u*p + y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88067597.\nAnswer: 1297, 67901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 1169\/8558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*g - 3*d, g - 16 - 11 = -4*d. Find the third derivative of 3*w**2 - g*w**2 + 42*w**6 - 14*w**2 - 37*w**2 wrt w.\nAnswer: 5040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734008.\nAnswer: 2, 11, 19, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2776341*m**3*x**4 + 2*m**3*x + 199361*m**2*x**2 + m*x**2 - 2*x**4 - 2*x**2 wrt x?\nAnswer: -66632184*m**3*x - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 190941280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x + 9. Give s(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80*u*y**3 + 8*u*y**2 + 31*u + 125*y**3 - 4137*y wrt y?\nAnswer: 480*u*y + 16*u + 750*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100101100010000100110 (base 2) to base 6.\nAnswer: 542053542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*f + 95 = 15, 2*q - 29 = f. Let v(s) = 0 - 4 - q + 6*s**2. Let x(l) = l**2 - 3. Determine -6*v(h) + 34*x(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 232314 - -131?\nAnswer: 232445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z + z**2 - 4*z + 1 - 1 - 3*z**2 + (-1 + 1 - 2*z)*(z + 0*z + 0*z) + 0*z**2 - 2*z**2 + 3*z**2 + (1 + 1 - 4)*(-2*z**2 + 0*z**2 + z**2).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 716*z**2 - 77955*z - 286. Calculate o(-96).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149150 by 1071.\nAnswer: 149150\/1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.343149 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-14)\/(-105) - 4\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q**5\/q))\/q)\/(q**(1\/2)\/q)*q*q**5*q*(q*q\/q**(-4)*q)\/q*q)**(-18))**(-2\/47) assuming q is positive.\nAnswer: q**(378\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 4 (b) 6\/11 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832000?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*r**2 - 94*r**2 + 2*r**3 + r + 435*r**2 - 105*r**2 - 108*r**2.\nAnswer: 2*r**3 + 19*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - sqrt(25)*-1)\/sqrt(5)*5 - sqrt(35)\/(-6*(sqrt(21)\/sqrt(3) + sqrt(7) + sqrt(7))))**2.\nAnswer: 163805\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -2. Suppose 3*p - 585 = -3*s - 0*p, 795 = 4*s - p. Suppose 10*n - s = 4*n. Calculate the remainder when n is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 7 - -13)*1. Let n = u + -12. Let t = 1 - n. Which is the smallest value? (a) 0.5 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 + 14*f**2 - 11*f + 5. Let u be g(-5). Let j = 101 - u. Calculate the remainder when j is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - sqrt(153)*3)*-1 + sqrt(153))\/(sqrt(324) + sqrt(324)*2 - sqrt(324)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45991 divided by 1?\nAnswer: -45991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*648\/48*(-2)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*2*1.\nAnswer: 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1107.624 to the nearest ten.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 51?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 19*p**2 - 8*p - 126. Does 24 divide y(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 + 102\/12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3834588*-0.3.\nAnswer: 1150376.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -111*g - 15. Let m be n(-2). Suppose 8*j - 209 = m. What is the remainder when j is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -58466736*w. Let l(g) = 18*g. Determine k(l(j)).\nAnswer: -1052401248*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -590, 0.03, -2\/11 in decreasing order.\nAnswer: 0.03, -2\/11, -590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 19*c - 90, 0 = -0*c + c + 5*j + 66 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414886?\nAnswer: 2, 207443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022 + -110?\nAnswer: 10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 76*f - 2588. Determine l(34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1080))\/(sqrt(288) + (sqrt(288) - (-2*sqrt(288) + sqrt(288))) + sqrt(288)))\/(-6*1*(sqrt(1620) + sqrt(45) + sqrt(45))).\nAnswer: -sqrt(3)\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678846 rounded to the nearest 1000?\nAnswer: 1679000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/402 and -1 - ((-12)\/(-4) + (-138)\/28).\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*o**3 - 4 + 2 - 2 wrt o.\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607132 is divided by 151749?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/9 - 257*i**3\/9 - 1579*i**2\/9 + 257*i\/9 + 526\/3 = 0. Calculate i.\nAnswer: -6, -1, 1, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -229344.72645 and -5?\nAnswer: 229339.72645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 4*k**2 - 5*k + 6. Let c be x(3). What is the derivative of 3 + 0*a + 8*a + c wrt a?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 234*f + 245*f - 3.\nAnswer: 479*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 a factor of 66090714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -417 - -422. Find the third derivative of -135*i**4 + i**2 + 17*i**j + i**2 - 18*i**5 wrt i.\nAnswer: -60*i**2 - 3240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1107*o**3 + 6055*o**3 - 1072*o**3 - 1657*o**3)*((-1 - o + 1)*(-2 + 4 - 1) - o - 5*o + 3*o).\nAnswer: -8876*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 357336 and 158816.\nAnswer: 1429344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*f - 409, -49*u + 46*u + 9 = 0. What is the greatest common divisor of f and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*w + 2045 = -0*w, 0 = -5*w + 15. Let q = n - -621. What is the greatest common factor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a62b1 - 27?\nAnswer: -a6308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*m = -187782 + 185776 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5652 + 9*j**4 - j**2 - 5652 + 61*j**3 - 58*j**3 + 6*j in the form a*j**4 + x*j**2 + i + g*j**3 + w*j and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - z - 1. Let y(f) = f + 1. Let n(g) = 2*a(g) + 2*y(g). Let w(v) = -7*v. What is w(n(u))?\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 8) to base 7\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, e: 1, y: 1, q: 3}. What is prob of sequence zy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 174679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120353*f = -120924*f + 1142 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 189 + (10\/(-15))\/((-6)\/27). What is the greatest common factor of 204 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1950 = i + 2*y, 5*y = -2*i + 957. Suppose 8*g - 14*g + i = 0. Calculate the greatest common factor of g and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11 - -1) + -2)*(-174)\/12. Suppose -4 = 5*i - n. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = -6*u + 956. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 1. Let k(o) = o**3 + 12*o**2 + 4*o + 2. Let l(r) = 6*d(r) - k(r). Let c be l(-5). Let y be 3 - c - (1 + 1). Solve y*q - 3*q - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -896 - -1754. Let q = h - -153. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*a**4 + 123*a**3 - 1 + 122*a**3 + 117*a**3 - 366*a**3 + a**4 as q*a**3 + h + b*a**2 + c*a + d*a**4 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1234 = -6*g + 494. Let c = g + -573\/2. Factor 3\/2*s - 3\/2*s**3 + c*s**2 - 3\/2.\nAnswer: -3*(s - 1)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(91) - ((sqrt(91) + -1*sqrt(91)*6 - sqrt(91)) + sqrt(91)))\/(1*sqrt(112) - (-3*sqrt(252) + sqrt(252) - sqrt(252))).\nAnswer: 17*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*b + 12. Suppose 0 = b*f + 3*s - 88 + 10, 3*s = -f + 30. What is the smallest common multiple of 16 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1526*m + 20757 = 2155*m for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 19*v - 14. Find the first derivative of -v + 4 - 11*h + 11 + 8 wrt h.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31332114 (base 5) in base 13?\nAnswer: -92070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5693.2 rounded to the nearest ten?\nAnswer: -5690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - (-21)\/4. Suppose 0 = -0*z + o*z - 5*p - 20, z + 4*p - 4 = 0. Suppose 0 = 4*v + z, 0 = -s + 6*s - 2*v - 442. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3771.523 nanometers?\nAnswer: 0.000000003771523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165414426833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18301, -73397, -165223, -293779?\n\"Answer: -18365*h**2 - h + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7)\/g)**(-14)\/((g*(g**(1\/6)*g*g)\/g)\/(((g\/(g**(-8)*g))\/g)\/g)))\/((g\/(g*(g**7\/g)\/g)*g**(-7))\/(g\/g**(-2\/9)*g**(-3\/8))) assuming g is positive.\nAnswer: g**(1921\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k. Suppose 0*j - j + 10 = k. What is the highest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3042 by 3.\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 12880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from bkckcw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -449*a**2 + 4*a + 2. Let x(i) = -4487*i**2 + 42*i + 21. Determine 21*l(u) - 2*x(u).\nAnswer: -455*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*u + 16809 = -1652*u - 27051 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -976*b + 65466 = -7734 for b.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - 16. Let r = f + 47. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -z - 99 + 9, -32 = -3*p + 5*z. What is the remainder when p is divided by 1 + 5 + 0 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*j + 20, -2*j + 0*j = 5*u - 35. What is the smallest common multiple of 9 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 140 and 140 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i*s**6 + 16*i*s**3 + i*s**2 + 28*i + s**4 wrt s?\nAnswer: -120*i*s**3 + 96*i + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1912 by -8.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -564 divided by 141\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 3*k**2 + 1.\nAnswer: -(k + 1)**2*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*2\/(-68) - 224\/(-119). Solve s*h + r = 5, -r - 5 = -2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 69*a**7\/35 - 41*a**4\/4 - a**3\/3 + 666*a**2. Find the second derivative of b(s) wrt s.\nAnswer: 4968*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a day in minutes?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 + 1829\/279.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*c*m*w**3 + c*m*w**2 + 21*c*w**3*x - 4*c*w**3 - 52*c*w**2*x - 4*m*x - x wrt m.\nAnswer: 63*c*w**3 + c*w**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.8831485 + 19.89. What is f rounded to 4 dps?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3664872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85859043 divided by 5.\nAnswer: -85859043\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * -558828.\nAnswer: -15647184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 500 = 4*z + 5*o, 3*o = -2*z + 234. Solve 0 = -29*s + 22 + z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -682, -688, -706, -742, -802, -892, -1018?\nAnswer: -1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1138 + 1138 - 73*v**4 + (-18*v**2 + 17*v - 10*v**2 + 31*v**2)*(4*v**2 - 4*v**2 + v**2).\nAnswer: -70*v**4 + 17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 0*s + 0*s)*(1 + 0 + 2)*((-2 + 4 + 0)*(4 + 0 - 5) + 5 - 3 + 0 + 2 + 0 - 4).\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 15*c - 87. Let x be i(6). Find the first derivative of -x - 297*j + 27 + 19 + 115 wrt j.\nAnswer: -297","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(455\/(-156)))\/((9\/42)\/((-6)\/2)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1384, -2239, -3092, -3943, -4792, -5639?\n\"Answer: z**2 - 858*z - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1667768 rounded to 3 decimal places?\nAnswer: -0.167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48768 and 371.\nAnswer: 18092928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -23, -3, 16, -2\/3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**6)\/((a\/a**(-16))\/a) assuming a is positive.\nAnswer: a**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x + 0*x - 2*x + 2*x**2)*(5 + 8 + 0 + (1 + 2 - 1)*(2 - 7 + 1)) in the form n*x + h*x**2 + i and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 x when three letters picked without replacement from {x: 3, g: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -989681, -989680, -989679?\nAnswer: -989678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3434?\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 31*x. Let k(i) = -4*i**2 + 6*i**2 + 1 - 1. Calculate h(k(b)).\nAnswer: 62*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6*r = 6. Let l = r - -7. Suppose -l*m + 109 = -1. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.5, -2, 21, -241 in descending order.\nAnswer: 21, 0.5, -2, -5, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*r + 76*r + 61*r + 8*r**2 - 238*r + 66*r.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*p = -18, 10*s - 11*s = -p + 3. Suppose 3*a - 3 = 2*a, -s*h = 4*a - 4802. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 + 2*u - 2*u)*((4*u - 5*u + 2*u)*(4 - 1 - 4) - 3*u - u + 0*u + (1 + 2*u - 1)*(1 - 2 + 4) - 4*u - 1 + 1).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 305925 and 2725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016018 to 6 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18787*h**3 + 14669*h**2 wrt h.\nAnswer: -112722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 3, n: 1, b: 1, p: 6, h: 4}. Give prob of sequence hrp.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 1:57 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let s be 1 - (-5)\/2*(-36)\/45. Let r(l) = 1. Let j(p) = 3*p - 1. Let v(g) = s*r(g) - j(g). Calculate v(w(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0 (c) 13\/5 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/3, 2\/5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/21540 and -43\/2820.\nAnswer: 1012380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24302663 to the nearest integer?\nAnswer: 4930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**3 - l**2 - 4*l + 1. Let s be k(2). Suppose s*y - 11 - 80 = 0. Solve -y - 13 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*v - 11. List the prime factors of v\/(-5)*225\/18.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/6)\/(6\/64). Let y be (-12)\/j - 335\/(-20). Solve 6 = -5*b + y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = 67*i - 73*i. Suppose -3*t + 3*r + 1044 = 0, -55*t + i*t - 4*r = -338. What is the least common multiple of 8 and t?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2196 and 1281?\nAnswer: 15372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -17114 equal to -17116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let n(q) be the second derivative of 1\/6*q**3 + 0*q**2 - q + 0. Give l(n(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69542292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.4 + -3.6. Put -5, j, 5 in decreasing order.\nAnswer: 5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376357427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -1\/4, -0.2, -2\/159, 0.397?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9768386 less than 3?\nAnswer: 9768389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, -18, -1 in increasing order.\nAnswer: -18, -1, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442 = -q - 376. Let r = 207 + q. Calculate the highest common divisor of r and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*j + 5*d, 0*j - 24 = -5*j + d. Suppose 14 = j*z + 6. Factor 0 - 7\/3*w**z - 2\/3*w.\nAnswer: -w*(7*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 4:47 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 2. Let q = -1711 + 1712. Let b(f) = f + 1. Calculate q*v(u) + b(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 - -4116.\nAnswer: 4115.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/19, 0, 4, 0.3, -3, 0.49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.073049 + -0.884531. Round d to 2 dps.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011010000 + -101011?\nAnswer: -1010011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = y - 37 + 11, -27 = -2*y - 3*f. Suppose 7370 = -y*w + 21368. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/6 + 0)\/((-7)\/84). Let r(k) = k**3 - 2*k**2 - 7*k. Let z be r(c). Calculate the greatest common divisor of z and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225 times -0.2\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 61124*r - 196. Let i be w(-10). Is i\/(-112) - (7\/(-4) - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 83700*b. Let x(m) = -m**2. What is s(x(f))?\nAnswer: -83700*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**3 - 29*u**2 + 11*u - 5. Let d(q) = -q**3 - 4*q**2 - 5*q - 4. Let a be d(-3). Let l be (0 - a) + (6 - -1). What is the units digit of t(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43319809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4. Calculate the least common multiple of 8 and g*(-1 - 0) + 26.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20303 - 517?\nAnswer: -20821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-109235)\/910 - (19 - 32 - (-1011)\/78).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 13354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 34208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3469.6 - 2?\nAnswer: 3467.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -55560723 at most as big as -55560723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 119052 (b) -0.1 (c) -5 (d) 0.2 (e) -0.2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**6\/5 - b**5\/20 - 349*b**4\/12 - 3*b - 33. Find the third derivative of y(p) wrt p.\nAnswer: -144*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 287 + -286. Let g be ((3 - 0 - -4) + -2)*t. Solve q + q = r - 8, -r - 6 = g*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.42874ng?\nAnswer: 0.00242874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1030348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 2*h + 528 = 0. Calculate the highest common factor of h and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 7:11 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 835\/(-25) + (-2)\/(-5). Let n = -28 - x. Suppose -n*q + 4*p - 5*p = -290, 0 = 2*p. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 19*k - 176. Calculate w(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -382020 by -38202.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11*s + 52. What is h(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -57800000 rounded to the nearest 1000000?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14779*a - 14789*a. Let s(t) be the first derivative of -3\/2*t**4 - 1\/2*t**6 + 0*t + 9\/5*t**5 + a*t**3 + 0*t**2 + 33. Factor s(n).\nAnswer: -3*n**3*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000296 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - b + 0*b**2 + b**2)*(-3 - 3 - 4).\nAnswer: 10*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcctofyr. Give prob of sequence yc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*f**3 + 22*f**3 - 44*f**3.\nAnswer: -57*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09095455 plus 5?\nAnswer: 4.90904545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20160219 or -80640877\/4?\nAnswer: -20160219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 2*a**2 + 2*a - 3. Let w be o(2). Suppose 0 = -4*s - 3*v - 8, -3*s + 2*v - w - 6 = 0. Let j = s + 11. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 13*t + 38. Suppose 3255*v = 3225*v - 270. What is b(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/290)\/(724\/26245*1\/4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 26320480 = -31*b + 22*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304055016 by -12668959.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 845420594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(1782\/18)*5)\/((-6)\/(-11)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -596*(-2 + 42\/24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 87. Let u = 248\/3 - s. Calculate the common denominator of 2\/4 - (-49)\/(-10) and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m**(1\/11)*m)\/m*m))\/m**(-1\/11))\/(m**(-9\/5)\/m*m*m**(-8)\/m) assuming m is positive.\nAnswer: m**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 24 - 12)*(4*u - 4*u - 2*u) + 0 + 0 - 2*u + 0*u + 0*u + u.\nAnswer: -107*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g = 17*g - 40*g + 858 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(56) + sqrt(56))\/(sqrt(8) + 2*sqrt(968)).\nAnswer: -2*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, 1\/3, 0.3, 327.8, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from xvxzwxzwxz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - 2877 - 4*h + 2905 + 11*h**2 in the form n*h + c + j*h**2 and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -164.\nAnswer: -3\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4489, -9001, -13531, -18079, -22645, -27229?\n\"Answer: -9*x**2 - 4485*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**3\/3 + 5*o**2 + 213*o. Give g(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.3 (c) -1620\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -107983541.\nAnswer: 107983540.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 109449886.416 and 1995.\nAnswer: 109451881.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -750297, -1500580, -2250863, -3001146, -3751429, -4501712?\nAnswer: -5251995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -128\/69?\nAnswer: -128\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 4*p**2. Let v(l) = 2*l + 6. Let u be v(-5). Let n be o(u). Solve -2*h + 2*z + 3*z - 16 = n, -4*h + 24 = 4*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7 = 3*s - 4*s, -2*r + 2 = 0. Put 3, -7, 1, s in decreasing order.\nAnswer: s, 3, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42\/5 or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -42166 and -53018 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*y + 64 = 0, -2*i - y + 6*y = -34. Suppose -3*z + 59 = 2*r - 76, 3*z - 255 = -4*r. Calculate the highest common factor of i and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + b - 69 + 33 = 0, j - 17 = -b. Calculate the highest common divisor of j and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1137 + -0.0863. Suppose -9 + 21 = 2*r. Suppose -20 = -h + r*h. Which is the second smallest value? (a) -1\/2 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4829 = -3*o + 592. Suppose -l - 365 = -x, 6*l - 11*l = 4*x + o. Which is smaller: l or -364?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42905\/14 - -3066. Calculate the common denominator of -57\/4 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = 41 - 19 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -257*j - 959. Is a(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2012*b + 2*b**2 + 951*b + 1061*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.6, 5\/4, -4.\nAnswer: -4, -2\/3, 0.6, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 7*r - 1. Let m(g) = -g**3 + 6*g. Calculate -5*i(n) + 6*m(n).\nAnswer: -n**3 + n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163*s**2 - 5*s + 99*s**2 + 89*s**2)*(-s**3 + 3*s**3 - 4*s**3).\nAnswer: -50*s**5 + 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 0*i**2 - 1062912*i**3 + 1062770*i**3.\nAnswer: -142*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 923090759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.64 - -53.36. Which is greater: p or -23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + (sqrt(384) - -3*(sqrt(384)*3 + sqrt(384))))\/(2*sqrt(200) + sqrt(18)*-2).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1003, 1562, 1267, -308, -3589, -9002?\nAnswer: -16973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4497, 8999, 13503, 18009?\n\"Answer: g**2 + 4499*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2286\/32219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 - 264*z**2 + 275*z - 35825. What is c(132)?\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 10 - (-76 - -86).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4738*y + 125. Let d(g) = -4737*g - 104. Give -6*d(z) - 5*h(z).\nAnswer: 4732*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 98*l + 1136. Calculate g(13).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.145794 milliseconds to microseconds.\nAnswer: 5145.794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -15*t - 1. Let a(w) = -5933*w - 68. What is -3*a(f) + 204*k(f)?\nAnswer: 14739*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 333 - 595. Let o = 266 + w. Suppose -2*y + 3*v + 17 = -y, 2*y - 4*v = 28. Solve -3*h - y = -o*r - h, 3*r + 3*h = 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -13.24?\nAnswer: 10.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 22 + 0 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 37*l - 38. Determine b(29).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 205\/20)*(-5)\/15\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a factor of 389883551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13404552 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Let u = -1424 - -5601\/4. Let p = -24 - u. What is the nearest to 1\/2 in 0.1, x, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 55 (c) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -14*p + 11*p. Let b(r) = -r**2 + 12*r + 4. What is b(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-21))\/(2\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22.9 in 1\/8, 2, -0.1742?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/119 + 156780\/102. Calculate the greatest common divisor of a and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 99*i**2*x**2 - 18*i**2*x + i*x - 18*x**2 - 16*x + 14 wrt i?\nAnswer: 198*i*x**2 - 36*i*x + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*p**5 + 1282*g**3*p**3 + 6*g**3*p - g**2*p + 24*p**2 wrt p?\nAnswer: 60*g**3*p**2 + 7692*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 6072*m + 48617. What is q(8)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 - 0.3. What is the closest to l in 1\/5, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t + 1378 - 1114 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 9*b - 8. Let r be z(-6). Let o be (-42)\/(-70) - (-214)\/r. Let j be 1 + (46\/1 - 3). What is the greatest common divisor of o and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00074872424 to 5 dps.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9834439 millilitres to litres.\nAnswer: 0.0009834439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2 + p. Let o = -2 + 4. Suppose -3*d - d = -8, -3 = -q - o*d. Let s be i(q). Solve s = -4*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Let y = 2 - l. Suppose 0 = k - y*k - 7. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 16, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - o - 18. Let p = -145 - -142. Let s be y(p). Suppose -2*a = 0, -2*a + a = 3*u. Solve u*t = s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/(10\/(-180)*3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:37 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16891831, 33783658, 50675487, 67567318, 84459151, 101350986?\n\"Answer: c**2 + 16891824*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1292 = -4*t + 5*b, 2*t + 4*b + 514 + 106 = 0. Is 5 a factor of t\/(-7) - (-45)\/(-105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539221658?\nAnswer: 2, 4289, 62861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 divided by 101?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 0*g - 5 - 1\/3*g**3 + 1\/2*g**2. Let c(v) = -v**3 - 6*v**2 + 9*v - 2. Suppose -1 = 8*i - 9*i. What is i*c(h) - 6*u(h)?\nAnswer: -h**3 + 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -87, -97, -109, -123?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 17677\/504?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3192 and 291680.\nAnswer: 116380320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1401 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 b = 57\/5 + -711\/65. Put 3\/8, -1\/3, b in ascending order.\nAnswer: -1\/3, 3\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2. Let o(c) = -c**2 + 1. Let p(q) = -4. Let y(m) = 4*o(m) + p(m). Determine z(y(v)).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22157875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 11*z + 2 - 5 - 11*z + 16*z**2. Let k(b) = b**2. Determine l(k(r)).\nAnswer: 16*r**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 192*a*b**3*o + 3*a*b**3*t - 8*a*b**2*o**2 + 30*a*b**2*t + 2*a*o**2*t - 4*a*t - 10*b**3*o**2*t + 2*b**2*o**2 wrt b.\nAnswer: 1152*a*o + 18*a*t - 60*o**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1*b)**40\/(b**2)**(-5\/6))\/(((b\/(b**(2\/19)\/b))\/b**1)\/((b\/(b**(-2)\/b*b))\/b**4)) assuming b is positive.\nAnswer: b**(4547\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.414 + 5.714. Which is the third smallest value? (a) o (b) 0.071 (c) -0.2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 + 84*f**2 = 0 for f.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/(-10) + (-49)\/105)*-30 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323 = -9*v + 433. Suppose 5*o - v = 2*o. Calculate the remainder when o is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**3 - 2*a**3 - 2*a**3 + 2*a - 2*a - a**3 - 2*a**3 + 0*a**3 + 0*a**3 + (3 + 2 - 6)*(2 + 2*a**3 - 2) + 918*a**3 - 163*a**3 - 364*a**2 + 362*a**2.\nAnswer: 751*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j - 104 = 0. Let m = j - -17. What are the prime factors of m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 65247636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 8148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 232708 + -579708. What is i rounded to the nearest 10000?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -2*m**4\/3 - 2*m**3 + 16*m**2. Differentiate a(z) wrt z.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1683.26 - 1609. Round d to zero decimal places.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from {c: 2, a: 3, v: 7, o: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b + 441 = -12*b + 12*b for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(2\/45)\/q)*q*q*q\/((q*q*q\/(q*(q*q**(-2\/37)\/q)\/q))\/q)*q*q*(q*q**(1\/9)*q)\/q*(q**(-30)*q*q)\/q assuming q is positive.\nAnswer: q**(-12758\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13244281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + s - 1. Let n(q) = 108 - 48 - 51 - 8*q + 11*q**2. Let y(j) = 6*i(j) + n(j). Factor y(p).\nAnswer: -(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)*(o\/(o*o**(14\/11)))\/o)\/(o*o*o**(-34)*o)**(-2\/103) assuming o is positive.\nAnswer: o**(-8638\/3399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117 + 121. Let c(t) = -t. Let r be c(-3). Suppose -r*b = 3*u - 21, 2*u + 35 = 2*b + 3*b. Solve 5*w + a*k = 5*k - 17, 5*k = -w + b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2394 equal to -2396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(6)*-4 + -1)**2.\nAnswer: 8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0*b + 0*b**3 + 0 - 45*b**2 + 7\/24*b**4. Let z(s) = 342*s. Determine -99*y(c) + 2*z(c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -745*s - s**2 + 827*s - 145*s + 63*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 791.9269 years to millennia.\nAnswer: 0.7919269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 141007*v**4\/24 + v**3\/6 - 5*v**2. Let b be n(6). Suppose -7*j - 343957 - b = 0. Round j to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*i + 1013. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = -3*q + 102872, 2*q + a - 24858 = 43712. List the prime factors of q.\nAnswer: 2, 3, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*((-5*(sqrt(200) - (sqrt(200)*-3 + sqrt(200) + sqrt(200) - sqrt(200))))\/sqrt(4))**2*-2 + -5.\nAnswer: 44996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/9*-4*(-1)\/4. Let s be (-24)\/(-10) - (-2)\/(-5). Sort s, -3, q in ascending order.\nAnswer: -3, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -1029*h**4 - 1032381*h**3 - 254547993*h**2 + 2208935997*h - 2633123010 = 0.\nAnswer: -3541\/7, 10\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 20*r**4 - 4*r + 5. Let h = -10 + 15. Let m(c) = 99*c**4 - 21*c + 24. Let f(d) = h*m(d) - 24*p(d). Find the second derivative of f(g) wrt g.\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 6*d**2 + 2*d - 9. Calculate v(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*z**2 + 7*z**2 - 59*z**2 - 50*z**3.\nAnswer: -50*z**3 - 90*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 19*x**2 - 23*x + 75. Calculate the smallest common multiple of v(-20) and 78.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.617 - 585.883. Let h = f - -51.5. Let i = 535.0000493 + h. What is i rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -28*x**4 - 3092*x**3 - 64516*x**2 + 1223172*x + 535824 = 0.\nAnswer: -61, -3\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8726252 is divided by 3337?\nAnswer: 3334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 333101803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.2 * -29.\nAnswer: -121.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/21 (b) -0.2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 96 = 24. Let i = 2 - x. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (5 - 13) - -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11.2725 * 6\nAnswer: -67.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -27*j - 3*a + 3, 5*j + 4*a - 4 = 0. Solve -2*d + 3*y + 2 = 3, j = -5*d + y + 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-five quarters of a second?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14884, -17234, -21156, -26656, -33740, -42414, -52684?\nAnswer: -64556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 1. Let k be p(-2). Suppose z - 3*c = -k, z + 4*z - 2*c = 14. Suppose 34 = h + 2*r, 3*h + 2*r - z*r = 62. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 - 20 = -c. Let r = 1\/53 + 4493\/636. Calculate the common denominator of r and 3\/(24\/c) + -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 891 and 194902026.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684)*-2 + (sqrt(19) - (1*sqrt(152))\/sqrt(8)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 97674371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, 6 in decreasing order.\nAnswer: 6, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263.137 - 263. Let l = d - 0.237. Which is the closest to 1? (a) -1 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*h**5 - 8*h**5 - 7*h**5 + (2*h**4 + 1 - 1)*(-6*h + 2*h + 3*h) + 5*h**5 - 2*h**5 - 4*h**5.\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 81606933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 274651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6449497.\nAnswer: 191, 33767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Let h be 1\/(11 + 102\/(-9)). What is the nearest to h in 1\/12, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5450 is divided by 111.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/673 or 343249?\nAnswer: 343249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 79, -317\/8766?\nAnswer: -317\/8766","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37557504 to the nearest integer?\nAnswer: 6128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -628, -625, -620, -613, -604, -593?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)*a\/(a*a**(9\/7)) assuming a is positive.\nAnswer: a**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*j + 368*j - 1413*j = 20100 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 - 2649*n\/2 + 17303.\nAnswer: -(n - 13)*(n + 2662)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1007 less than 0.133?\nAnswer: 1007.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 79727 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4203002 (base 6) to base 15.\nAnswer: -4016b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = b - 8, 5*b = 2*r + 58. Suppose 5*z - 32 = -b. Let j = -2 + z. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-26)*24\/126. Let x = -4\/13 - s. Which is smaller: -202\/5 or x?\nAnswer: -202\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22025*t**5\/2 - 251055*t**4\/2 - 422709*t**3 - 413494*t**2 - 105156*t + 144 = 0. What is t?\nAnswer: -6, -4, -1, -2\/5, 6\/4405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(100) - 5*sqrt(12))**2.\nAnswer: 7203\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (882\/1176)\/((-3)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 158 = 94. Calculate the remainder when 59 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350 = 70*s - 3*r, 4428*s + 5*r + 10 = 4426*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*356314.\nAnswer: 35631.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n**2 - 44*n - 11651. Let c(m) = 3*m**2 - 10*m - 2912. Determine 9*c(u) - 2*s(u).\nAnswer: -u**2 - 2*u - 2906","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -297*r**2 - 54*r - 54. Let n(b) = 27*b**2 + 5*b + 5. What is 5*a(h) + 54*n(h)?\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 - 2*p - 1. Let f = -48 - -47. Let r be x(f). Let c be 2\/(r - -1) + (-31)\/(-8). Which is smaller: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*g - 125 + 104 = -423 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1602*p*w**2 - 868*p*w + 159*w**2 - 470 wrt w?\nAnswer: -3204*p + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1625, 6534, 14713, 26162, 40881?\n\"Answer: 1635*o**2 + 4*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14716670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {o: 4, g: 2, t: 3, e: 8}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**3 - 17*s**2 + 131*s - 204. What is the remainder when c(2) is divided by (-117)\/(-5) - 4\/10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**8\/84 + 2*k**7\/105 + k**6\/15 - 2*k**5\/15 - k**4\/6 + 2*k**3\/3 + 11*k**2. Factor f(p).\nAnswer: -4*(p - 1)**3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90772?\nAnswer: 2, 11, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*((-4*z - 3*z + 5*z)*(-8*z + 39 - 39) - 3*z**2 - 2*z**2 + z**2).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24534227951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -8. Let m = 1.011 + u. Let n = m + -0.01100021. Round n to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 + -3.1000124. What is m rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150476977 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*v**2 + 4*v + 27*v**2 - 4*v + 12*v**3.\nAnswer: 12*v**3 - 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7843 divided by -713\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -89*k - 731 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12998179 is divided by 136?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 6:58 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9892, -17319, -29704, -47047, -69348, -96607, -128824?\n\"Answer: -2479*t**2 + 10*t - 7423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 982 - 1396. Let w = -409 - i. Solve 18 = -w*z - 2*v, z + 2*v + 13 - 3 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (1*(sqrt(130) - sqrt(130)*-2 - sqrt(130)) + sqrt(130))\/(1*2*sqrt(10)))*5)**2 + -1.\nAnswer: -300*sqrt(13) + 4521\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7568879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -605, 4 in increasing order.\nAnswer: -605, -8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -3*d**6\/20 - 2*d**5\/5 - d**4\/3 - 7*d**2. Determine z so that l(z) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r - 952*r**2 - 21*r + 4*r + 13*r to the form x*r + v*r**2 + i and give v.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**5\/240 - 5*z**4\/96 + z**3\/4 + 19*z**2\/2 + 8*z. Let a(o) be the first derivative of h(o). Factor a(k).\nAnswer: (k - 3)*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103128700 to the nearest 1000000.\nAnswer: -103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 0.05, -3\/2, 3.\nAnswer: -3\/2, 0.05, 5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 7*s + 79. Let d = s + 95. Calculate the remainder when 94 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2233 - -30?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-48))\/(1\/8). Suppose -z*u + 3*p + 6 - 4 = 0, -3*u - 4*p + 20 = 0. Suppose u*s - 332 = 5*n, -444 = -8*s + 3*s - n. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.3. Let c be (760\/57)\/(-20)*(-38)\/(-28) + 1. What is the third smallest value in c, p, -2\/15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y - 10*y - 7 - 3*y + 7*y as k*y + j and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1\/s)**(8\/13)\/(s**(1\/9)\/s**5))**(-2\/19) assuming s is positive.\nAnswer: s**(-88\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1244.5*0.2\nAnswer: 248.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5225485207 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 - -92.3. Suppose 3 + 5 = -2*m. Let n = 4 + m. What is the closest to 0 in -0.4, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2 + 3 - 3). Suppose k + k + 8 = m, k = -5*u + 36. Determine n so that 4 - 6*n + n**2 - u - 3*n**2 - n + n**3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82446152 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3404323050.\nAnswer: 2, 3, 5, 29, 293, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twwttwwwtww. What is prob of sequence wtt?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7537399, -30149494, -67836327, -120597904, -188434231?\nAnswer: -271345314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 52.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, -11286 in increasing order.\nAnswer: -11286, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 5:12 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 14*s**2 - 15*s. Let z(h) = h**2 - h. Let n = -80 + 74. Let l(d) = n*w(d) + 66*z(d). Find the second derivative of l(q) wrt q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) -35 (c) -1\/19 (d) -90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10842*x**2 + 1 - 4*x - 3*x - 10843*x**2 + 6*x. Let y(w) = -12*w**2 + w + 4. Let u(b) = -11*b**2 + 4. Let c(v) = -7*u(v) + 6*y(v). Give c(z) + 4*d(z).\nAnswer: z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 5*q**4\/4 + 4*q**3\/3 - 12*q. What is the second derivative of c(r) wrt r?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 10)*15\/9. Let v be 106\/3 + (-5)\/k. Calculate the greatest common divisor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274.99 + -0.07419.\nAnswer: 274.91581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 489 - 1471 + z + 493 + 490. Suppose -3*g + g = -2. Let f(x) = 2*x + 4. Let p(n) = g*f(n) - 4*b(n). Let l(r) = 14*r. Give p(l(s)).\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828802 is divided by 280.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 11:08 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-333)\/(-148))\/(21\/8)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3429\/2134 + -28\/97. Let g be (-1920)\/56 - (-4)\/14. What is the common denominator of i and ((-9)\/(-66))\/((24\/g)\/(-4))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38189848 is divided by 122?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*q - 62. Let d = q + 41. Suppose -d*x = 3*c + 4, 2*x - 10 = 2*c + 6. Solve k - 6 = -x*k - 3*f, 3*k + 5*f = 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4352 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**4\/12 - 5*v**3\/6 - 8*v. Let a be c(-6). Is (-9)\/a*(-254)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)*i\/(((i\/(i**1\/i))\/i)\/i))\/(i**(-5\/2)\/i*i**5) assuming i is positive.\nAnswer: i**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2740*n**4 - 2741*n**4 + n**2 + 5 + 0*n**2 - 2*n**3 to the form t*n + g*n**4 + s*n**3 + r + w*n**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(1100) - (-3 + sqrt(1100)*3 + sqrt(1100))) + sqrt(1100)))**2*5 + -4.\nAnswer: -21600*sqrt(11) + 793616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*y = 1005, 15*y - 13*y = -4*j + 1986. What is the least common multiple of 55 and j?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 17, x: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 7. Let j be ((-30)\/(-4))\/(12\/(-32)*2). Let s be u(j). Suppose 2*w + w - s*v - 147 = 0, 5*v - 91 = -2*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772 a factor of 440812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -15*k + 10*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17708, -17705, -17700, -17693, -17684, -17673, -17660?\n\"Answer: a**2 - 17709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3403 + 2480.\nAnswer: -923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25395024.\nAnswer: 2, 3, 37, 79, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + -1 + (-1225 - -1198)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110110110 + 11?\nAnswer: 110110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g**5 + 2080*g**4\/3 - 23039*g**3 + 673324*g**2\/3 - 700460*g - 101600\/3 = 0. Calculate g.\nAnswer: -127, -1\/21, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 255\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - i = 3, 3*i + 0*i = -v - 9. Let g be -3*(-10)\/(-15) - -330. Let r be 4\/((-1248)\/g) - 4\/(-6). Which is greater: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2247*p**3 - 34*p + 26*p - 28 + 2245*p**3 in the form y*p + a*p**2 + v + k*p**3 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, c: 2}. What is prob of sequence vcvv?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1881649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**2)**30\/(z**(-1)\/z*z\/(z\/(z*z**(5\/6)*z)*z)*z))**(-30) assuming z is positive.\nAnswer: z**(-2675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 6*p - p - 2270, 2272 = 5*p + 4*f. Calculate the greatest common factor of p and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82622 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5167 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*k + 60*k + 14784 = -314*k for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -24*l**2 + 87*l\/4 + 9\/4 = 0.\nAnswer: -3\/32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6 = -u - 0*u, -p = -5*u + 8. Suppose -p*k - k = 6, -208 = 3*d + 5*k. Let i = d - -69. Solve -3*c + 4 = -5, -i*c = 5*y + 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41935375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4010*m + 276694. Calculate s(-69).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 4:22 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3035 (base 6) to base 3\nAnswer: -220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 7*n**5\/60 + 17479*n**2. Let b(s) be the first derivative of -5\/2*s**2 + 1 + 0*s. Give i(b(d)).\nAnswer: 175*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -4*g - 5*x, 4*g + 4*x = -g + 181. What is the remainder when g is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -559, -1255, -2209, -3409, -4843, -6499, -8365?\nAnswer: -10429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**4\/24 + 5*w**3\/6 - 4*w**2. Let d be g(-7). Suppose -3*s + d = -9. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19\/4 of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1028392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 - 75. Suppose 3 = 2*h + 1. What is the nearest to k in 0.4, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216642 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -62. Let j = 3.82 + 0.18. Let l = -9 + j. Sort 0.1, l, p in descending order.\nAnswer: p, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1763115, -1763116, -1763117, -1763118, -1763119?\nAnswer: -1763120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + sqrt(500) + (2 + 1*sqrt(500))**2 - (sqrt(500) + -4*(sqrt(500)*-4 + sqrt(500))).\nAnswer: -70*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1317 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 29913 and 448682\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 183 = -2*r - 195, s = 4*r - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 416573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8840, 8822, 8792, 8750, 8696, 8630, 8552?\nAnswer: 8462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 4*y**2 + 3*y - 7. Let c(b) = 10*b**2 + 591*b + 65. Let n be c(-59). Calculate f(n).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 4*g - 55. Let f be v(-8). Find the second derivative of 6*x - f*x - 3*x**3 + 1 + 98*x**2 - 86*x**2 wrt x.\nAnswer: -18*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631882.\nAnswer: 2, 193, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015854084 to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453*u = 188*u - 382 - 943. Let d(i) = 7*i**3 + 7. Let z(j) = 2*j**2 - 3*j**3 - j**2 - j**2 - 3. What is u*z(o) - 2*d(o)?\nAnswer: o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41826.\nAnswer: 2, 3, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**2 + 60*j - 461. Determine f(15).\nAnswer: -911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 139788759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.55 - 18.753. Let i = -2.17 - c. Which is bigger: 3\/2 or i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.72 + -7.42. Let l be 1 - (2\/1)\/1. What is the closest to j in -0.2, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + m**2 + m + 6. Let j = -23 + 23. Suppose 3*q + j - 9 = 0. Suppose 0*c + q*c = 0. Give d(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 m when three letters picked without replacement from {j: 2, h: 4, m: 3, a: 6}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13417796?\nAnswer: 2, 7, 347, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 + 23. Let m be q\/(-4 + (-31125)\/(-7780)). Let v = m - -147248. Round v to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 14. Let o = 29 - 24.2. Let m = o - 0.8. What is the nearest to y in m, 0, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -171*t**2\/5 + 89*t + 204\/5 = 0.\nAnswer: -68\/171, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 0 + 0*k**4 - 2*k**2 - 5\/3*k**3 - 10*k + 1\/24*k**5. Let y(n) be the first derivative of z(n). Let u(g) = 6*g. Give y(u(m)).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 7*r - 6. Let a be q(6). Let t = -19 - a. Let z = 11 + t. Calculate the remainder when 5 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27630 (base 16) to base 5\nAnswer: 20130303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1481171*t - 1473056*t + 3*t**2 - 2*t**2)*(2*t - 8*t + 0*t) as c*t + o*t**2 + k*t**3 + y and give o.\nAnswer: -48690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-54)*(-290)\/(-58).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**8\/6720 - k**7\/2520 + k**4\/4 - 2*k. Let a(d) be the third derivative of r(d). Find the third derivative of a(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 2*a)*(-7 + 9 + 7)*(0*a - 2*a + a)*(-86 + 667 + 821).\nAnswer: -25236*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 22013\nAnswer: -42\/22013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.166 + 3643022.17\nAnswer: 3643022.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12\/5 - 283\/120. Let l(y) be the third derivative of -y**2 + w*y**4 + 0 + 0*y + 0*y**3. Let b(a) = a. Determine b(l(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5 + -7 - -17)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 532 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c6 (base 13) in base 16?\nAnswer: -1f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*o**4 - 49*o**3 + o + 785 wrt o?\nAnswer: 1116*o**2 - 294*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8085156 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 6*z + 9. Let f be a(4). Let w be 5 + -2 - (2 + f). Suppose w = -4*l + 167 + 13. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -10*k**2. Let x(o) = -2*o - 2. Suppose 0 = -2*h - 4*w + 6, -5*h = -0*h + 5*w - 15. Let n(j) = -4*j - 3. Let s(l) = h*x(l) - 2*n(l). What is s(v(d))?\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7452 is divided by 7316?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -111*j**5\/20 + 25*j**4\/2 - j**3\/3 + 67*j - 1. Find the third derivative of r(p) wrt p.\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + k + 30. Suppose 3*v = 8*v + k. Let a = v - -10. Solve 2*c = -3*w + 8 + a, 2*w = -c + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113517 - 57557 - 55984 + f.\nAnswer: f - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**7\/3780 + j**6\/360 + j**5\/45 - 37*j**4\/12 + 48*j. Let g(y) be the third derivative of u(y). Factor g(d).\nAnswer: -2*(d - 4)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 + 331. Let j = 380 - x. Calculate the highest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 491727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 373*x**2 + 1 - 373*x**2 + 37.\nAnswer: -x**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19673989 to the nearest integer?\nAnswer: 4436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 32407.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 + -3. Let p(g) = -2*g**2 + 44*g - 194. Let l be p(6). What is the second biggest value in -1, -0.2, l, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from {z: 3, t: 1, h: 3, d: 5}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4402 by 142.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4906 and 4296764?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*z - 2*z**2 + 7*z**2 - 4*z**2 + 76*z**4 wrt z?\nAnswer: 1824*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:39 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 7:27 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 3 + 16 - 2*o + 63 as g + u*o and give g.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1041064 divided by -68.\nAnswer: 260266\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2 - 7. Let j = 6 + w. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 4:55 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 12. Suppose -15 + 47 = 8*y. Let q = x - y. Put 2, q, -3, 1 in decreasing order.\nAnswer: q, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47126, -94260, -141394?\nAnswer: -188528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-1)\/((-2)\/(-14)). Let w(t) = 8 + 240*t - 172*t - 66*t. Calculate w(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - 0 - -4 - -4) - (-429 - -433)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13440 (base 5) to base 7.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = s, -2*s = -2*x + 8 - 0. Solve 4*u - x = -22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 11:31 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -150, -531, -912, -1293?\n\"Answer: -381*r + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 4*b + 10. Give x(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - -4) + -26 + 18. Solve t = -141*n + 142*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 5. Let z be g(-5). Let r = 2 - z. What is the third derivative of 0*i**2 - 3*i**2 + 3*i**2 + 2*i**2 + r*i**4 wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 at least as big as 25\/1199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 172*r - 184*r + 60 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 234155 - 31535. Let x = -202618.71057 + r. Let b = 1.29 - x. Round b to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 36 = -3*k. Calculate the remainder when 24 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3882 = 4*v + 896, -4*l + 2944 = 4*v. Calculate the remainder when v is divided by 144.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(270)*1)\/(-4*(-2*sqrt(270)\/sqrt(5))\/sqrt(9)).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-25) - (-3)\/5. Let z = 5 + q. Let f = -4 + z. Which is the second biggest value? (a) -1 (b) f (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/15 - 12\/(-5). Let c = 78 + -75. Let w(n) = 6*n**c + 2 - 2*n**2 + 3*n**3 - 15*n**3. Let h(i) = -13*i**3 - 5*i**2 + 5. What is q*h(d) - 5*w(d)?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**3 - 3*n**2 + n + 1. Let x be w(1). Suppose -m = -5*v - 223, 6*v = x*m + v - 441. List the prime factors of m.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 9*q**2 + 55*q + 15. Let z(b) = 10*b**2 + 54*b + 18. What is -6*x(c) + 5*z(c)?\nAnswer: -4*c**2 - 60*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(1470))\/(sqrt(490) + (sqrt(490)*-2 - sqrt(490) - sqrt(490) - sqrt(490)) - (sqrt(10)*-2 - sqrt(10))*4).\nAnswer: 7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + j**2 - 1. Let t(r) = -2*r**4 - 52*r**3 - 4*r**2 + 50. Let o(z) = -t(z) - 4*u(z). Find the first derivative of o(w) wrt w.\nAnswer: 8*w**3 + 168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -1\/2*d**2 + 0*d - 8. Let p(j) = 3*j. Calculate p(f) + 6*r(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/2 + 2*k**4 - 3*k**3 + 2*k**2 - k\/2.\nAnswer: -k*(k - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134\/21 + -40\/7. Let v = 90 + -89.6. Which is the closest to -1\/9? (a) w (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 7*t**2 - 3*t - 5. Let r be v(6). Let g = 25\/2 - r. Let w = -7 + 7.4. Which is the closest to g? (a) -0.05 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-30) + (-178)\/12. Let c = 0.094 - -1.106. Let u = -1.1 + c. Put u, b, -2 in decreasing order.\nAnswer: u, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6554 and 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18308*b + 11875 = 58942 + 81089 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 8. Suppose b - 2*n = 10, 3*b + 6 = 2*n - h*n. List the prime factors of (1 + b)\/(1 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 4*m + 5. Let j be i(2). Let v be 497 - 5\/j - -1. Suppose -6*u = 125 - v. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 1. Let b(s) = 17*s**2 + 22. Let u(l) = -9*l**2 - 13. Let k(i) = -4*b(i) - 7*u(i). Calculate -6*k(p) + 17*z(p).\nAnswer: -4*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -25, -28, -33, -40, -49, -60?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 178147*o**2 + o**3 + 0*o**3 - 178145*o**2 + 29 to the form y*o + t*o**2 + d*o**3 + g and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273 + -44. Let q = h + -224. Put q, -5, 12 in decreasing order.\nAnswer: 12, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 9*x**2 + 5*x**2 - 15*x**2)*(2*x - x + 0*x) as p*x + v*x**2 + g + d*x**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -393*v + 610*v**2 + 393*v to q*v**2 + r*v + n and give q.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1426, -1429, -1432, -1435?\n\"Answer: -3*j - 1423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3939 (base 12) to base 7\nAnswer: -25011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 245620*r + 61769232.\nAnswer: 2*(r + 252)*(r + 122558)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -1\/240*f**5 + 0*f + 1\/12*f**3 + 1\/96*f**4 + 0 + 3*f**2. Factor d(y).\nAnswer: -(y - 2)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 + 1973589*i\/2 - 986796.\nAnswer: 3*(i - 1)*(i + 657864)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 57*k\/2 + 29.\nAnswer: -(k - 58)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -385*j + 8295 + 175 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-16)*(1 - -3). Suppose 5*u + 28 = -i*m - 6, -2*m + 4 = -2*u. Sort 1\/3, 1\/2, u in increasing order.\nAnswer: u, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 68 = 5*d, 2*p + 16 = 2*d - 0*d. Suppose 3*g + d - 3 = f, 66 = 4*f - 2*g. Calculate the greatest common factor of f and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 71.6883 kilometers?\nAnswer: 71688.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-8)\/(-4) + 2. Suppose o = -j*m + 100, -2*m + o = -o - 52. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 276533369?\nAnswer: 1382666845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -749 + 758. What is the lowest common multiple of b and 128?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 12:51 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2443 + -2?\nAnswer: -2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from yyyyyyyyyyygy?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10743*s**3 + 18377*s**3 - 16373*s**3 + (s + 0*s - 2*s)*(0*s + 0*s - 2*s**2).\nAnswer: -8737*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l. Let f(s) = -6*s + 10. Give -f(v) - 8*x(v).\nAnswer: -2*v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 19869 - 9936 + 774*a + 11*a - 9951 as p + i*a and give i.\nAnswer: 785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 6 - 6. Let w be (-6)\/21 - (-33)\/(-7). Let d be (r\/w)\/((-3)\/(-10)). Solve 0 = f + d*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1285 and 1285.\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (116 - (-22 + 15)) + -22.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*a = -75 + 8, 4*r - 4*a = 48. Solve -z = -0*t + 3*t + r, 4*z = 3*t + 23 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 0*k**3 + 4*k**3 + (k**2 - 4*k**2 + 4*k**2)*(-1 + 1 - k) + 140*k**3 - 6*k - 138*k**3 + 84*k.\nAnswer: 4*k**3 + 78*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaua. Give prob of picking 1 u and 2 a.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 378 divided by 2?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**4\/6 - 555*v. Let n(c) = 24*c + 20. Let h(w) = w + 1. Let f(b) = 40*h(b) - 2*n(b). What is f(o(a))?\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/5 - 926*s**2\/5 + 116246*s\/5 - 2051322\/5.\nAnswer: 2*(s - 221)**2*(s - 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(8\/(160\/2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46202*c**2*d**2*r**2 - 8*c*d*r**3 - d**2*r**3 - d**2*r + d**2 - 892*r**3 - 63*r**2 with respect to c.\nAnswer: -92404*c*d**2*r**2 - 8*d*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 262 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7322700817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 18 - 7. Let z(v) be the third derivative of -v**4\/6 - 7*v**3\/6 + v**2. Calculate the remainder when 23 is divided by z(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2354*p + 2355*p - 80*p**4 + p**3 - 3 - 4705*p in the form l*p**2 + f*p**3 + w*p**4 + i + c*p and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from mvoqpjj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/464 and -50\/1273293.\nAnswer: 590807952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1452998082 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*l - 612 - 124 - 331 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 11:50 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 + 82. Let g(v) = 2*v**2 - 93*v - 8. Is g(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496510418 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -104. Suppose 4*u - 3*f = 11, u - 12 = -3*u + 4*f. Sort x, u, 5, 4.\nAnswer: x, u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007897 to 6 decimal places.\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2382\/6*(7 + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**5\/4 + 367*v**4\/4 - 1341*v**3\/4 - 12487*v**2\/4 + 9493*v\/2 - 1380 = 0 for v.\nAnswer: -5, 2\/5, 1, 8, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + b + 3*b - 2, -5*k + 25 = 5*b. Let i(g) = 6*g**2 + 0*g**2 - k*g**2. Let f(n) = n. Calculate f(i(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -93, -10, 1, -4, -2, 19 in decreasing order.\nAnswer: 19, 2, 1, -2, -4, -10, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/7))**(-18\/5)\/(x**26\/x**(-16\/7)) assuming x is positive.\nAnswer: x**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggzggnjgkgnrggk?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Let u be ((-2)\/4)\/(75\/(-270)). Do t and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/((-25)\/2180)*(-300)\/(-12).\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) 2 (c) -38 (d) 1 (e) -181\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19753089 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 2? (a) 0.59 (b) -0.269 (c) 2\/41 (d) 2\/15 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78\/75163 or 0?\nAnswer: -78\/75163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxfwrfrw. Give prob of picking 1 x, 1 w, and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27686 - 57?\nAnswer: -27754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 - 52*m**3 - 258*m**2 - 360*m.\nAnswer: -2*m*(m + 3)**2*(m + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -12*z + 5 - 454 + 44. Let b be d(-34). Solve -b*j = -8*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 316715 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 73. Calculate u(-9).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20441571\/140 + 146012. Calculate the common denominator of q and -119\/290.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + -5 + (sqrt(176)*1 + 1 - 1*(sqrt(176) + -1 + sqrt(176))) + 1))**2 + 1.\nAnswer: 576*sqrt(11) + 6481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 414 and 2949?\nAnswer: 406962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**3 + 15*n**2 - 11*n - 4. Let b(x) = -3*x**3 + 7*x**2 - 5*x - 2. Let o(m) = 9*b(m) - 4*j(m). Calculate the remainder when o(3) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 345 and 0 - (2 + -4) - (153\/(-17) + -64)?\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 6*p**2 + p + 12. What is the smallest common multiple of 14 and u(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 - 79 = -42*b + 160 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23940 and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5447, -5439, -5427, -5411, -5391?\nAnswer: -5367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16883, -33765, -50647, -67529, -84411, -101293?\nAnswer: -118175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -67 in increasing order.\nAnswer: -67, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 7*p**2 - 42 + 43 + 133*p**2.\nAnswer: 126*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106 - 26 - 984 + 2*f - 152 to s*f + x and give x.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 21. Which is greater: p or 25\/87?\nAnswer: 25\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -10. Suppose 2*x = 4*x - d. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 175452 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 12:51 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320 = 177*f + 6161 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3 - 1806040*u**2 - 111977363*u - 1735664022 = 0?\nAnswer: -31, 1806102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffvfvqffffvqfvv. Give prob of picking 2 q.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*a - a, 5*a = -3*i + 3914. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 328 + -3?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-3 - 2*v + 10 + 1) + (0*v - 2*v + v)*(1 - 4 + 2)*(0 + 3 - 5).\nAnswer: -4*v + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 1, m: 1, y: 1, w: 1}. Give prob of sequence wn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4461 + -4460.8. Which is the second smallest value? (a) 1 (b) 12.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10998*y + 11081*y + 166 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrtrrrkrrrrrr. Give prob of sequence rt.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3*o + 0*o)*(3 + 3 - 4) + 3 - 3*o - 4*o - 4.\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/25, -87.2, 6\/7?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5153, 19583, 43233, 76043, 117953, 168903, 228833, 297683?\nAnswer: 375393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + z**2 + 121804*z - 7 - 121802*z - 15 - 4*z**4 as r*z**2 + x*z**3 + v + n*z**4 + g*z and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.39 - 3.39. What is the closest to y in -3\/25, 1\/5, 1?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26716*p**3 - 8352*p**3 - 8876*p**3 - 8416*p**3.\nAnswer: 1072*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2, 90.\nAnswer: 2, 35, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 651\/91 + 2\/(-13) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 4. Let q = -114 - -108. What is p(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17362818139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 4*n - 2*n + (-3 + 6 - 1)*(2*n - 2 + 2) + 2 - n - 2 + (-2 + 2 - 2*n)*(0 + 2 - 21) + (-1 - 1 + 3)*(-3 - 4*n + 3) as r*n + j and give r.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 3*s**5\/10 - 7*s**3\/6 - s**2\/2 + s. Let o be 3*16\/12 + 3. Let r(c) = -5*c**3 + 6*c + 1. Calculate o*r(x) + 6*g(x).\nAnswer: x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (178\/4 + (-2 - -2))*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 2*a + 1. Suppose -5*l + 7 = -8. Let q = -4 + 7. Suppose 0 = q*z - 2*z - l. Calculate x(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -112\/3 + 94\/15*i - 2\/15*i**2 = 0. What is i?\nAnswer: 7, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -440 - -442. Solve 5 = 3*k + 5*q - 23, -g*k = 3*q - 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12944 and 18607.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 divided by 4?\nAnswer: 321\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 848\/64*2*-2*(21\/3)\/(-7).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/(4*(-2)\/(-8)). Let v = -13 - j. Let i(g) = 6*g + v*g - 8*g. Let w(f) = -13*f. Calculate w(i(c)).\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 - 3*b**2 + 4*b**2)*(-4 - 4*b + 4)*(b**2 - 4*b + 3*b + 11 - 8).\nAnswer: -28*b**5 + 28*b**4 - 84*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/49 + (-184)\/(-42))*12. What is the third derivative of -4*l**3 - 9*l**2 - 15*l**3 - 5 - 9*l**3 + 28*l**3 + i*l**5 wrt l?\nAnswer: 3360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**3 - 35*n**2 + 60*n - 66. Let a(q) = q**3 - q**2 - 2. Let b(o) = -6*a(o) + y(o). Let l be b(-31). Solve -6*c + 6 = -l*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x - 9. Let z be n(3). Suppose -6*c = -z*c - 9. Let p(s) = s**3 - 3*s**2 + 5*s - 10. List the prime factors of p(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 340525?\nAnswer: -340524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30192 + 41808 = 4*b. What is b rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 - -36. Suppose n = -t + 141. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11408 and 32472688?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02398 + 0.52398. Which is greater: -199 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 - 89. Calculate the highest common factor of 190 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 = 6, 3*n = -i - 15. Suppose 57 = 6*u - 9. Let k = u + i. Solve k*y + 8 - 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17571715157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 479, 0.1 in descending order.\nAnswer: 479, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 54*x - 20. Does 87 divide a(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8452531 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: What is 9 minutes after 8:22 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 654853540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-161)\/4*6 + 2\/4. Let w = f + 287. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -21*j + 336. Calculate g(7).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 915395167 to the power of 1\/3, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654464337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17387 minus -27687725?\nAnswer: 27687725.17387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.93479 and 26.\nAnswer: 24.30454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - a - a + (-25 - 6 - 4)*((2 - a - 2)*(-2 - 2 + 3) - 4*a + 2*a + 0*a - 16*a - 314 + 314) - 1 - a + 1.\nAnswer: 592*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 - 1904a7?\nAnswer: -190515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -6*(-52)\/8 + (15 - 12) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smqswsmssmyu. Give prob of sequence msq.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 15*b**2 + b. Let c(q) = 25. Let j(g) = 46. Let t(u) = 11*c(u) - 6*j(u). Let m(f) = 2*f - 4. Let v(y) = -m(y) + 4*t(y). Determine v(o(z)).\nAnswer: -30*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 903, 1807, 2711, 3615, 4519, 5423?\n\"Answer: 904*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 9*x - 11. List the prime factors of h(-13).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109*k*m - 278808*k - 2*m - 20060513 wrt k.\nAnswer: -109*m - 278808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36936 and 79515?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1280*n - 514*n + 732*n + 1203*n to the form i*n + x and give i.\nAnswer: 2701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 90134?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4917)\/(-27) + (-6)\/54. What is the first derivative of k*a + 38*a**3 - 90 - a**2 - 9 - 182*a wrt a?\nAnswer: 114*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.33 plus -2000394717?\nAnswer: -2000394715.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7956058*o**2 + 14*o - 658762897 wrt o?\nAnswer: 15912116*o + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 16*p - 19*p + 93, -p + 3*o = -36. Suppose 17 + 13 = 3*c. Let s(d) = d**3 - 11*d**2 + 10*d + 3. Calculate the least common multiple of p and s(c).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.424235044 rounded to two decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 843*i**3 + 841*i**3 + 2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13448\/615)\/82*35. Factor 5*z**2 + y*z + 13\/12*z**3 + 16\/3 + 1\/12*z**4.\nAnswer: (z + 1)*(z + 4)**3\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*m**4 - 3*m**2 + 2*m**2 - 11*m**6 - m**2 + 30*m**4 + 58 wrt m.\nAnswer: -1320*m**3 + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**6 - 6*r**5 - 7*r**2 + 6*r. Let m(o) = -14*o**6 - 91*o**5 - 105*o**2 + 91*o. Let t(y) = 91*h(y) - 6*m(y). Find the third derivative of t(c) wrt c.\nAnswer: -840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69560549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 509, -4, -148, -5, -9 in ascending order.\nAnswer: -148, -9, -5, -4, 509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 261540 and 261540?\nAnswer: 261540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - -5*(sqrt(153)*-1 - sqrt(153)))\/sqrt(9).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 - 8*z - 2. Let d be k(-3). Suppose -d*r = y + 3*y - 1728, 2146 = 5*y - 2*r. Let o = -204 + y. List the prime factors of o.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -24.5. Put i, 1\/5, 3\/7 in decreasing order.\nAnswer: 3\/7, 1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 2*v**4 - v**4 + (v**3 + v**3 - 3*v**3)*(-2*v + 0*v + 0*v) + 0*v**4 + 4*v**4 - 5*v**4 - 4 + 4 + 3*v**4.\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 11) + -10 + 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4509 and -43\/4662.\nAnswer: 2335662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-7 - 663*a + 2 + 540*a) + 0*a - a + 3*a + 0*a + 0*a + 3*a.\nAnswer: 251*a + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.029 * -15\nAnswer: 0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -2\/29, -0.14.\nAnswer: -0.14, -2\/29, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1102 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -130*q - 95. Suppose p = 11 + 31. What is the remainder when t(-2) is divided by p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 29*j**3 - 17*j - 38. What is z(-5)?\nAnswer: -3578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34634 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17068 and 36924?\nAnswer: 9267924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013776652 to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - 5*o = -228, 5*o - 72 = x. Let u = 78 + x. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1544 divided by 13\nAnswer: 1544\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 242, 959, 2154, 3827?\n\"Answer: 239*j**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + t = 15*x - 497, -t = x - 259. Calculate the greatest common divisor of 1288 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 0, 2, -3, -8932 in increasing order.\nAnswer: -8932, -7, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 241621 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -s + 3*s + 4, 0 = -5*s + 3*w + 4. Let x = 38 - -2. Suppose y = -9*y + x. Sort -1, y, s in decreasing order.\nAnswer: y, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {e: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4452664 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17205343 + -2?\nAnswer: -17205345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1310*i**2 - 1710*i**2 + 2 - 23227*i**2.\nAnswer: -26247*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - d = -231, 2*d = 66*t - 71*t + 227. Suppose 4*s + s = 5*w - 95, -t = -3*w - 2*s. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1690544 in 1, -13, 3\/7, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g + 1. Let z be w(7). Let u = z - 42. Suppose k + c = u, k = -0*k - 5*c + 20. Solve 3*r - 3*d + 8 - k = 0, r + 3*d = 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.7061 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 5. Let x(c) = -5*c - 19. Let j(s) = 9*k(s) - 2*x(s). Let q be j(7). Suppose 4*b + 14 + 22 = q. Which is greater: b or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -503, -1010, -1523, -2042?\nAnswer: -2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1782215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 286 and 106.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in -1, 33, -5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 170797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2569\/13 or 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**4\/2 + 4*g**3\/3 + 8*g**2 - 4*g - 666. Let n(o) = 6*o**3 - 11*o**2 - 47*o + 11. Calculate 4*n(b) + 11*u(b).\nAnswer: 2*b**3 - 12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**2 - 210*y - 211 = 0.\nAnswer: -1, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {z: 2, e: 3, m: 2, u: 3, g: 5}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 3*b + 0*b - 2*b + 4*b - b + (2*b + b - 5*b)*(0 + 0 + 2) + 1 - 1 + b - 7*b - 3*b + 6*b)*(2 + 2 - 1 + (-1 - 3 + 6)*(-3 + 2 + 3) + 3 - 2 + 1).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4\/4 + 693*p**3\/2 + 158691*p**2\/4 - 80388*p + 40368 = 0 for p.\nAnswer: -232, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i - z + 19, -33 = -3*i + 3*z. What is the smallest common multiple of 74 and i?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**5 - k**4 + 3*k**2 - k. Let v(x) = -10*x**5 + 170*x**4 - 290*x**3 - 675*x**2 + 1245*x. Let u(h) = -5*o(h) - v(h). Let u(c) = 0. What is c?\nAnswer: -2, 0, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607*d**2 + 2*d**3 - 1518*d**2 - 164*d**2.\nAnswer: 2*d**3 - 1075*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 19*t**2 + 78*t + 11. Let k be d(-6). Let l be 3\/(-2)*(3 - 1). Calculate the common denominator of (-39)\/k*l*(-8)\/(-108) and -169\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36595 divided by -5\nAnswer: 7319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128\/11*i**2 - 2\/11*i**5 + 58*i - 236\/11*i**3 - 44 - 4*i**4 = 0.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0254, -11, -5?\nAnswer: -0.0254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8 - j + 5 - 8 - 4*j + j**3 + 9*j**2. Let n be w(-9). Let s = n - 16. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15686 and 63133114?\nAnswer: 1957126534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = 2*g + 15. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*c*u + 12172*c - 196*u**2 - u wrt u.\nAnswer: 17*c - 392*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -16\/3 (b) -0.5 (c) 0.11 (d) 2072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680*u**2 + 295*u**2 + 430*u**2.\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.048 and -3556?\nAnswer: 170.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172453 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3*x = 16, 0 = -33*y + 30*y - 2*x - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*3\/9*-1. Is 52 - 3*y\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3852109 is divided by 574.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4*u - 4 = 0, -2147*u = -2143*u + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 2*j + 12 = 2*k, 4*k - 9 = -j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 30204121212?\nAnswer: -30204121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-195)\/65)\/(21\/(-4))*14*(-5)\/4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6030, 12281, 18986, 26373, 34670?\n\"Answer: 38*t**3 - t**2 + 5988*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7380 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - m - 14 = 0, -3*v - 2*v = -m - 32. What is the remainder when 23 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.7 + 6.6. Let h be ((-6)\/(-8))\/(1\/1). Let y = 0.01 + 2.99. Which is the closest to z? (a) 1\/4 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*5\/20*-2. Let t(u) = u**2 - 2*u - 3. Let l(z) = -6*z**2 + 9*z + 15. Let h(s) = 2*l(s) + 11*t(s). Determine h(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 4. Let x be l(0). Suppose 0 = -5*r + x*r + 103. What are the prime factors of r?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 2:21 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 u when four letters picked without replacement from {u: 4, t: 6, h: 3}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/16 and 58\/15127.\nAnswer: 242032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -f + 4. Suppose 5*a - 2*m = 28, -5 + 1 = -4*a - f*m. Solve 5 - j - a - j**3 - j**2 + 2*j = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6486422 is divided by 1589?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1027 + 1038. What is the remainder when 80 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22*(-18)\/792*(-3)\/((-3)\/(-28756))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h - 2073630 = -242*h. List the prime factors of h.\nAnswer: 2, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -42*b + 1. Let d be r(-1). Let h = d + -28. Suppose h = 2*k + k. Let q(o) = -o + 11. Determine q(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -206\/5 - -219\/5. Sort 0, -0.2, 2\/7, g in descending order.\nAnswer: g, 2\/7, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 60\/34)\/(5 + -37) + 116\/(-986)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*k - 17*k - 673*k**2 + 239*k**2 - 2*k - 19*k wrt k?\nAnswer: -868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*y + 4. Let w be ((-3)\/(-2)*y)\/(-1). Solve w - 6 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.173 + -1031?\nAnswer: -1058.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*i = 24 - 7, 3*m - 37 = 5*i. What is the greatest common divisor of m and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + -6)*4\/(-3). Let s(z) = -15*z**2 - 1247*z - 161. Let p be s(-83). Let t = -0.2 - -0.22. Sort g, p, t in decreasing order.\nAnswer: p, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Let g(m) be the second derivative of -5*m**3\/2 + 9*m. What is g(a(p))?\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 8*g. Suppose -27*z + 23*z = -52. Let j(d) = -d + 9. Let x be j(z). Calculate the smallest common multiple of 8 and a(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4233*l**4 + 68*l**2 + 1040658*l.\nAnswer: 50796*l**2 + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 - 2. Let z(g) = 10*g**2 - 6 + 13 + 0*g**2. Let d(p) = -21*l(p) - 6*z(p). Let n(h) = 5*h**2 + 2*h**2 - 5*h**2. What is n(d(x))?\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12*z - 5. Suppose 4*w + 5*j + 8 = 0, j = -5*w - 5 - 5. Is 6 a factor of h(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 5*n + 3*r + 17, 4*n + r - 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1015 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l - 2. Let k be q(1). Let u(s) = -s - 2 + 4 - k + 3. Calculate the lowest common multiple of 22 and u(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**3)**26)**(-1\/18)\/((z**(3\/5)\/(z**2\/z*z))\/(z*z**(-3\/7)*z\/(z*z**2*z*z*z))) assuming z is positive.\nAnswer: z**(-2774\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*j + 5 - 2 + 0 - 10 to k*j + c and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 + 2*k**2 - k - 1. Let c(x) = 8 + x**3 + 92*x**2 - 92*x**2. Let v be c(0). Suppose 7*u - 11*u = v. Calculate m(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -11*l**2\/2 + l + 36. Let n(o) = -o**2 + 4*o - 1. Let d be n(4). Let g be z(d). Solve 0*j - j = 5*s - 17, g = 3*s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 9:16 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by -1409\nAnswer: -116\/1409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c*f**3*k**2 + 13*c*f*k**2 - 1032*f**3*k**2 with respect to c.\nAnswer: 6*f**3*k**2 + 13*f*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h - 3 = 38*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (87\/6 - -5)*2. Let b be (-2)\/(-13) + (-6)\/s. Let z(d) = d**3 - 3*d**2 - 3*d + 4. Let g be z(3). What is the closest to b in -7, -2\/3, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21519 and 181143?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 0*k + 4*l + 20 = 0, -4*k = 5*l + 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00231237024 to 6 dps.\nAnswer: 0.002312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -723195 divided by -5\nAnswer: 144639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 29*b - 171. What is g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**11)\/p)**(2\/5)*p\/(p\/(((p\/(p**33*p*p))\/p)\/p))*p**(-6\/13)*p)**(-3\/4) assuming p is positive.\nAnswer: p**(6057\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -561, -563, -565, -567, -569?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - 0)*-2 - 66\/66. Let d be -1 + 0 - 45\/f. Solve t + 16 = -5*l, d*t - 10 = 2*l + 2*l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/80*14\/105\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 + 8*m + 139. Determine k(0).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1231*t + 4927. Let o be r(-4). Calculate the highest common factor of o and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12192702 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/41949136 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 109.5348 millimeters?\nAnswer: 109534.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**2 + 6*m - 5. Let g be s(6). Are g and -2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(21)*1)\/(sqrt(3) - 6*-1*sqrt(3)))**2.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(448))**2).\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -606815 divided by -5\nAnswer: 121363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 + 2 = 2*v, -10 = -5*v + p. Suppose 2*j - 12 = -2*s, -2*j = v*s - 21 + 4. Calculate the common denominator of 39\/10 and j\/(-3)*(-204)\/(-14).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 1:07 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1360513, 1360521, 1360529?\nAnswer: 1360537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a factor of 1735128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Suppose a + a = g. Suppose z + a = -4. Sort z, 3, 2 in increasing order.\nAnswer: z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/3656448 + 198616427045\/47533824. Let n = -4182 + d. What is the common denominator of 113\/14 and n?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*a - 2*a + 2*a**4 + 9*a**4 wrt a.\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112014, 112006, 111994, 111978, 111958?\nAnswer: 111934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 8*r**2 + 8*r - 3. Let c = -11 - -173. Suppose -5*l = -l + 2*v - c, -4*v + 164 = 4*l. What is the remainder when l is divided by o(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/11 + 1399286*v\/11.\nAnswer: -2*v*(v - 699643)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/3400 and 1\/((-2)\/52) + (-7 + -3 - -3)?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3833, -3393, -2953, -2513?\n\"Answer: 440*h - 4273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**3 - 33*k**2 - 68*k + 15. Let h be p(15). Calculate the highest common factor of 30 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.1463 minus -364?\nAnswer: 403.1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-65)\/(-91) + (-38)\/14)\/((-14)\/4). What is the nearest to 3\/2 in b, 3, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -197, -253, -327, -425, -553, -717, -923?\nAnswer: -1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {r: 10, f: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1663889 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -113, 9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/4)\/((-6)\/(-8)). Put -2\/7, i, 0.3 in decreasing order.\nAnswer: i, 0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j - 54. Let l be z(-8). Let a be (-198)\/l + (-1)\/(-5). Suppose -2*q + 3 = -q. Solve r + a*m = -2*m - q, m + 3 = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6275*s**2. Let z(l) = -275*l**2 + 4*l. Give z(h(i)).\nAnswer: -10828296875*i**4 + 25100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 225*o - 204530.\nAnswer: 5*(o - 181)*(o + 226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-12) + 4\/6.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 12:32 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 10*b + 15. Let d be c(11). Suppose -3*n - p + 3*p + 11 = 0, d*n + 4*p + 12 = 0. Is 15*n*36\/10 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 - 568*q - 71 - 402*q - 8*q**2 + 249*q in the form r*q + y*q**2 + a and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/16, 3, -118\/15, 0.4 in ascending order.\nAnswer: -118\/15, 1\/16, 0.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1650 divided by -25.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 45, 36, 7, -42, -111?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -19. Suppose p*r = 5*r - 16. Let k be ((-18)\/10)\/(r - 74\/(-20)). Solve 3*f - k + 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3*u = 2, 12*u - 15*u - 10 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 19912758\nAnswer: 1\/6637586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1857 + 1837. Let v be -3 - (1 + l\/5). Let y = 24 + -10. Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 919 - 914. Let a(v) be the second derivative of -n*v - 1\/105*v**6 - 9\/7*v**2 + 1\/21*v**4 - 4\/7*v**3 + 0 + 2\/35*v**5. Factor a(m).\nAnswer: -2*(m - 3)**2*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 793 and 4148183.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -5*d + u, 4290*d = 4292*d - 64*u - 260 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 5:58 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 494*j**2 - 64276*j + 846240.\nAnswer: 2*(j - 82)*(j - 15)*(j + 344)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-15) + -1)*-10. Suppose 3*t - l = 2*t. Suppose 0 = -t*k + 3*k. Solve 0 = -k*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.8 (b) -2\/3 (c) 5\/4 (d) -2 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3452654.7us in days?\nAnswer: 0.00003996128125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/3, -4, 151, -94, 0.5 in decreasing order.\nAnswer: 151, 2, 0.5, -1\/3, -4, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -526.54275?\nAnswer: 526.44275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -5*l + 5 + 19, 16 = 4*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d - 906 = 0. Let h = 6944\/23 - d. Let k = -231 - -231.2. What is the closest to 2\/3 in k, -2, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 6:12 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 + 485 = 40*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3798\/13 - -292. What is the closest to 0 in 2\/3, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0353234 micrograms in tonnes?\nAnswer: 0.0000000000000353234","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 36, 4, 14, 2 in descending order.\nAnswer: 36, 14, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(84)\/(-2*sqrt(12)))**2 - (0 + sqrt(7) + (sqrt(112))**2)*2 - (-1*sqrt(224))\/(2*sqrt(648) + sqrt(8))*-1.\nAnswer: -901\/4 - 40*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - j**2 - j - 12. Let c(f) = -3*f**2 - 17*f + 31. Let n be c(4). Let x = -85 - n. Give k(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/8 and -47\/4176?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1739.6 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62.58 + 62.72806. What is r rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 + 55.02. Let i = -495.499 + 496. Let u = i - v. What is u rounded to two dps?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9250580084*j**3 + 0*j**2 + j**2 + 9250580003*j**3.\nAnswer: -81*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 5*h - 307 + 292 = 3*u, 3*u - 5*h - 7 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*24\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1805257*d**3 + 2*d - 1895978?\nAnswer: 10831542*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*29100.\nAnswer: 5820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from {n: 2, i: 1, k: 3, b: 1, e: 7}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -247954\/188547 - -5\/3697. Find the common denominator of l and (-1246)\/984 + -70*(-28)\/1568.\nAnswer: 2091","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-1 + -1))\/((-12)\/(-534)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 6:56 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -86391a - 33?\nAnswer: -863952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(-2\/3)\/x)*x**(-1\/5)*((x*x*x*x*x**0)\/x*x)**(2\/63) assuming x is positive.\nAnswer: x**(502\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 319*w**2 + 18*w - 12. Let h(n) = 80*n**2 + 4*n - 3. What is -9*h(d) + 2*z(d)?\nAnswer: -82*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5*9321586\nAnswer: -46607930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1891418.5*0.2\nAnswer: -378283.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 - 4.1. Let x = 2 - -3. What is the third smallest value in 0.4, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 356, 1648, 3942, 7304, 11800, 17496, 24458, 32752?\n\"Answer: 11*w**3 + 435*w**2 - 90*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.072 - -1.928. Which is the third biggest value? (a) 4 (b) 1 (c) -0.1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715*d + 182 = -9828 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4628093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -172122\/871 > -198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85324 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011201112 - -101010?\nAnswer: -11011100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11131 is divided by 301?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 132 times -2\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 132 + -99. Suppose p*y - 17784 = 14*y. Is y a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 71 - -1?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + -17)\/3 + -2. Calculate the common denominator of (5 + -4)\/(u\/(-5)) and (-20)\/(-35)*19\/4.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*y**3 - 216*y**3 + 418*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-34))\/o**27)\/(o**32\/(o*o**4\/o)) assuming o is positive.\nAnswer: o**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from zzmfzbbzrffz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 7. Calculate the lowest common multiple of f(-3) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11431, 23174, 35259, 47692, 60479, 73626, 87139?\nAnswer: 101024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1912399150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 11*k**2 + 23*k - 31. Give r(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) -1\/4 (c) 2 (d) 130 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -11\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/21)\/(((-56)\/798)\/(5\/5)).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**7\/840 + 7*l**6\/360 - l**5\/60 - l**4\/4 + 7*l**3\/2 - 104*l**2. Let u(s) be the first derivative of h(s). What is u(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 235 = 935. Calculate the highest common divisor of i and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603.227 centimeters in meters?\nAnswer: 16.03227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 125 - (1 + 4 + -2). Suppose 3*a = 4*p - 99, 5*p - 4*a = -2*a + g. Calculate the greatest common divisor of p and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 4, 11, -1\/3, -7, -0.4, -0.97?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 1. Let s(w) = 2*w**3 + 4*w - 4*w + 103*w**2 - 2 - 209*w**2 + 110*w**2. Give s(v) + 3*u(v).\nAnswer: 2*v**3 + v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 163552 >= 163575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 343808747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/29))\/(r*r\/(r*r*r**(2\/53))*r*r))**(-39) assuming r is positive.\nAnswer: r**(53547\/1537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 0 + y - 2 + 7 - 1. What is the least common multiple of 16 and a(8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73411.596 + 0.04.\nAnswer: 73411.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 28 - 6)*(3 - 4 - 2)*(2 - 2 - 2)*(2 - 2 + 2*k).\nAnswer: -336*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 179 - 114 = -133 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 31, 2\/9?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40789*t**3 + 36513.\nAnswer: -122367*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 151933 or 151932?\nAnswer: 151933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*i + 5*i + 13*i + 18*i + 23*i.\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -991 + 988. Let n = 32\/23 - 626\/483. Sort l, n, 0.03 in decreasing order.\nAnswer: n, 0.03, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40823 is divided by 40796?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 157*d - 3135. Give i(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*d = 728*d - 378 + 3158 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70540155391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 2 - (-34 + 40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 577438 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15737 + 15741. Suppose 3*l + 2*m = -m - 12, 5*l = -3*m - 10. Sort l, o, -5, -1 in decreasing order.\nAnswer: o, l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sff when three letters picked without replacement from xfffsfksssfxsefe.\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 132. Suppose 5*u - 12 = 2*q, -4*q + 2*u + 32 = 6*u. Suppose q*v = v + a. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c7 (base 13) in base 7?\nAnswer: -653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 620 + -360. Let d be (13\/(i\/(-88)))\/((-1)\/5). Calculate the greatest common divisor of 143 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846 is divided by 280?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 16 (b) -52 (c) -4 (d) 14 (e) 0.01 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28810, -28803, -28796?\n\"Answer: 7*x - 28817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136196*-0.1.\nAnswer: 13619.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1358900\/(-44450) + (20\/7)\/(-2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899530 a multiple of 683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**4\/12 + 17*a**3\/3 - 921*a**2. Determine o(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4229, -16741, -37589, -66767, -104269?\n\"Answer: k**3 - 4174*k**2 + 3*k - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {x: 3, c: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 5*n**2 - 5*n - 2. Let h be u(2). Which is the closest to 9? (a) h (b) -5 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 1, f: 2, m: 2}. What is prob of sequence hm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 2*t + 20, 4601*c - 35 = 4596*c - t for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2263930, -4527837, -6791744?\nAnswer: -9055651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -24 + 8. Suppose 0*s = -4*s - d*m + 12, -4*s + 2*m = -24. Suppose 0 = s*k - 215 - 170. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 at least 11480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*x = 116*x - 33*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.039, -4\/5, 8, 0.1, 0 in decreasing order.\nAnswer: 8, 0.1, 0.039, 0, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.10563, 3\/4, 1, 2.\nAnswer: 0.10563, 3\/4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8288, -7205, -6122?\nAnswer: -5039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30747?\nAnswer: 3, 37, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(-2)\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**3 - a - 1. Let p(s) = 36*s**3 + 8*s + 9. Calculate p(z) + 4*y(z).\nAnswer: 20*z**3 + 4*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + k**4 - 3*k**2)*(2 - 2 + k) - k**5 - 4*k**5 + 3*k**5 + (k**4 - 4*k**4 + k**4)*(3*k + 0 + 0) - 46*k**4 - 186*k**5 + 46*k**4.\nAnswer: -193*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5284*t - 726*t + 221*t.\nAnswer: 4779*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 17, i: 3}. What is prob of picking 4 q?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28779?\nAnswer: 3, 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5\/12, -19, 0.4, 3\/56?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -131.4506256 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27735, -55493, -83251, -111009?\n\"Answer: -27758*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4735*p**2 + 4736*p**2 - 9474*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 14, 2\/5, -21552, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 535528 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 1:18 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 + 2)*(-95*a + 68*a - 105*a)*(2*a + 0*a + 0*a)*(-4 + 2 + 0) to the form n*a + m + r*a**2 and give r.\nAnswer: 4224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30480\/84)\/127*196\/10.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 66390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.1. Let j = 124.3 - 124. What is the nearest to 1 in j, 0.1, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 w when four letters picked without replacement from mgcccggmggwggc.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 3 - (56 + -56).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**5 - 83396*i**4 + 289773300*i**3 - 335557467500*i**2 - 167851187500*i.\nAnswer: 4*i*(i - 3475)**3*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131 divided by 374?\nAnswer: -1131\/374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1134*k - 1471*k - 166720 = 0 for k.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 18) + 0 - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355330 (base 7) to base 12.\nAnswer: 31271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, s: 10, b: 8}. What is prob of picking 2 b and 1 f?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621192.\nAnswer: 2, 37, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 9576.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/6313060 and 69\/194248.\nAnswer: 12626120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/((-62)\/(-1116))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**2 + 8. Let s(a) = 5*a**2 + 6. Let f(q) = 4*s(q) - 3*z(q). Let l(c) = -175*c + 4. What is f(l(y))?\nAnswer: -30625*y**2 + 1400*y - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293558 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 267 - 75. Suppose 5*u = 804 + 636. Let m = u - n. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 3.2. Let q = 15 - 12. Which is the nearest to 1? (a) q (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-410)\/45 + (-3 - (-180)\/15)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o + 36 = -37*o. What is the second derivative of o*t - 3*t**2 - t + 7*t wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*c - 2*d, 4*c + 9*d - 5*d + 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 0*o**3 - 6*o + 1\/10*o**5 - 41\/2*o**2 + 0*o**4 + 2. Differentiate q(y) wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:20 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1368110.024 minus 76.9?\nAnswer: -1368186.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9073*x**3 + 9044*x**3 + 115164 - 17896*x**3 - 115164.\nAnswer: 221*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5*z - 7)*(-250 + 4*z**3 + 250).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 + -78.2. Let j = t + -12. Let q = -5 + 10. Which is the biggest value? (a) 2 (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.48943 - 0.49. Round b to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9\/10, -4\/3, -5763, -0.4, -1, -1\/5, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1065 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*a - 237, -4*a - 5*o + 10*o = -315. Suppose 2*x = 5*x - a. Let b be (-10)\/x - (0 + (-17)\/5). What is the nearest to -4 in 2\/11, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 2, i: 5, o: 4, c: 4}. Give prob of picking 1 c and 1 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1060*g**3*t**4 - 287*g**3 + 2 wrt t?\nAnswer: 4240*g**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 31*n = -1001. Is 39 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -2375\nAnswer: 712.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from {h: 6, j: 2, u: 1, f: 5, m: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21100 (base 11) in base 16?\nAnswer: -780e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 18*q**2 + 16*q + 128. What is r(-9)?\nAnswer: -745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z*z**(-2)*z))\/z)**(-24)*z*z\/z**4*z**(-3\/4) assuming z is positive.\nAnswer: z**(-107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 7*n**2 - n + 6. Let m be z(-7). Find the third derivative of m*i**2 - 8*i**2 + 3*i**3 - 16*i**3 wrt i.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 0*t**2 - 2*t**2 + t**2. Let a(o) = -o**2 - 9*o + 6. Let q be a(-9). Let s(l) = 4*l - 3*l - 4*l - q*l. Determine g(s(j)).\nAnswer: -81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2148*g**3 - 265 - 3960 - 2317*g**3 - 2236 - 2271 with respect to g.\nAnswer: -13395*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -30*q - 1. Let w(u) = -500*u**2 + 4*u. Calculate d(w(r)).\nAnswer: 15000*r**2 - 120*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16920036, -33840067, -50760096, -67680123, -84600148?\n\"Answer: z**2 - 16920034*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8961343, 17922684, 26884025, 35845366, 44806707?\n\"Answer: 8961341*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -41951017?\nAnswer: -125853051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2680*q - 2824*q - 5058*q + 5175*q to the form m + b*q and give b.\nAnswer: -5387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 89*o**2 + 83*o - 79. Is a(-86) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 37851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h\/((h*h\/(h*h**(-3)\/h)*h)\/h)))**(-5\/2))**29)**(11\/3) assuming h is positive.\nAnswer: h**(-3190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -215527 - -128127. Round x to the nearest 1000.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*u, -83 = -0*h - h - 2*u. List the prime factors of h.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 35*x + 293. Let d(w) = 5*w**2. Determine v(d(u)).\nAnswer: 175*u**2 + 293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1104, -4410, -9920, -17634, -27552?\n\"Answer: -1102*l**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9661*g - 14. Is r(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1\/3 (b) -4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*s**3 - 34764 + 34764 - 3*s**4 + (-2*s**3 + 2 - 2)*(s - s - 3 + 2*s) in the form m + b*s + f*s**2 + w*s**3 + l*s**4 and give w.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Suppose g = -2*l - 0*l + 6. Solve -l*m = 2*m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 11 - 1) + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5\/2, 1\/2, 2 in descending order.\nAnswer: 3, 2, 1\/2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*f + 48*f**3 - 17*f + (0*f**2 + f**2 + f**2)*(2*f - f + f) - 5*f**3 + 3*f**3 + f**3 - 4*f**3 + 0*f**3 + 3*f**3.\nAnswer: 50*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*k - 33, n = 4*k + 4 + 18. Calculate the lowest common multiple of n and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + y - 6, 7*g - 4*g - 3*y + 6 = 0. What is the second smallest value in 1, 3, g, 3\/41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -2212?\nAnswer: 2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 12:56 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4 + 248*l**3 - 14070*l**2 - 164088*l - 149769 = 0.\nAnswer: -9, -1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -210 - -116. Let s = x - -98. Suppose -2*h - y + 40 = y, 78 = s*h + 5*y. Calculate the least common multiple of h and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.04, 391, -0.5 in increasing order.\nAnswer: -0.5, -1\/4, 0.04, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 q when four letters picked without replacement from {q: 1, s: 12, i: 6}?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01259 to four decimal places.\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7180 and 10705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59\/8 + 869\/120. Let k(y) = y**3 - 9*y**2 + 7*y + 8. Let f(d) = d**2 + 8. Let i be f(0). Let x be k(i). Which is bigger: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 2*k + 2*d - 36, 0 = -k + 3*d + 13. Let v(x) = 2*x**2 - 26*x + 72. Calculate the remainder when k is divided by v(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/2220 and 203\/7920.\nAnswer: 293040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 8*l**2 - 7*l - 8. Let h be p(9). Let k = 18 - h. What is the least common multiple of 12\/(-9)*9\/(-6) and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*0.1.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 252560 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + n**2 - n + 2. Let z be w(-2). Let j(s) = 2*s + 21. Let k be j(-9). Solve z*a = -k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30091 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.075 + -7. Let a = 0.0816 - r. What is a rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10066 is divided by 561?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - -12 - (6 - -1). Let q(t) = -2*t - 2. Let h = 4 + -4. Let y be q(h). Sort 2, 5, o, y in increasing order.\nAnswer: o, y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*i + 6, -4*q + 5*i - 10 = -5*q. Let w(m) = -m**2 - 10. Let b be w(q). Let k = 14 + b. Solve -k*a - 17 = -3*x, -a + 0*a + 3*x = 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**3\/6 - 7*o**2 + 7*o. Let x be b(-6). Let d = -8 - x. Sort 1, -5, d in increasing order.\nAnswer: -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004637724 rounded to seven dps?\nAnswer: -0.0000464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(38))\/(2*sqrt(200)))**2*5.\nAnswer: 95\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 59?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(4840) - sqrt(4840)*2 - sqrt(4840) - sqrt(4840) - sqrt(4840))*-6)\/(2*sqrt(1152)*1) + 3 + 0)*5)**2.\nAnswer: 6600*sqrt(5) + 61400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 13.4 (b) -0.2 (c) 10.8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-490)\/(-7)*(-2)\/1. Let s be (-76)\/g - (-1)\/(-7). Is 1 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52273, 52250, 52227?\nAnswer: 52204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 746.\nAnswer: 3\/746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1901*u**2 - 967 - 1519 - 2656*u**2 wrt u.\nAnswer: -1510*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -766*f**4 + 16*f - 15893?\nAnswer: -3064*f**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**4\/2 - 2*n. Let d(g) = 3*g**2 - 5*g**2 - 14351 + 14351. Calculate d(z(v)).\nAnswer: -72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*u + 27, 0 = -5*u + 8*u + 9. Suppose h*x - 391 = 597. What is the remainder when x is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*q + 2949 - 10701. What is the lowest common multiple of 51 and q?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 699682, -1, 0.1, 3, 2\/3, 1\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 + 1. Let c be q(1). Suppose -2*a - 18 = -4*v, -a + c*a = v - 1. Let l = -35 - -33. Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1044, -214\/9, 6\/7, 0.5 in descending order.\nAnswer: 1044, 6\/7, 0.5, -214\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8901713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9442 and 73397387.\nAnswer: 4721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 494280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1794, -4786, -9774, -16758, -25738, -36714?\nAnswer: -49686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 17\/5 + 3 + (-34)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43.76 - 47.94. Which is the second smallest value? (a) -3 (b) 1 (c) -5 (d) 0.4 (e) n\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -34. Solve -d*w - z = -4*w + 6, 27 = 5*w - 2*z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44580 * -0.3\nAnswer: -13374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -866, 0.5, 19 in descending order.\nAnswer: 19, 0.5, -866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 5*b + 38, -10*b - 8 = -14*b - 4*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 10:50 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 4 - 868*x - 2 + 13 + 1650*x.\nAnswer: 782*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1412*l + 799. Is j(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 300*x - 434*x**4 + 339*x**4 + 96*x**4 - 8 + (-5*x + x + 2*x)*(-2*x**3 + 2*x**3 + x**3) to the form a*x**2 + w*x**4 + d + v*x**3 + f*x and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2054?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/8 - -2)*4. What is the third derivative of h**2 + 0*h**3 - 2*h**3 + 2*h**3 - g*h**3 wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + sqrt(17) + sqrt(51)\/sqrt(3) + 1.\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -8.9, -20, -0.8?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -121*p - 2343. What is y(-19)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 + 12*i + 6 - 2 as w*i + j and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 divided by -416084?\nAnswer: -32\/104021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1074786927?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from iiggiggggigggi.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/25 of a millennium?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 544 - 298. Let k = -135 + x. What is k rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-10 + 8 + 23).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/60 - 29*c**4\/24 + 8*c**3 - c**2 + 6. Calculate the remainder when 197 is divided by p(28).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p + 705*p**2 - 65*p**2 + 11*p.\nAnswer: 640*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 17*d**2 - 675*d + 11560. Determine m(17).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -19518*q**2. Let t(m) = -m**2. Determine r(t(z)).\nAnswer: -19518*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r. Let b(k) = -8*k - 3. Let x(l) = 30 + 7*l + 40 - 66. Let f(w) = -4*b(w) - 3*x(w). Give f(j(v)).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15 - -2 - (1 - 4). Solve y - 4*k = i, -k + 8 = -2*y - 5*k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 469831463, 469831461, 469831459, 469831457, 469831455?\nAnswer: 469831453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.84 rounded to zero decimal places?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72815155.\nAnswer: 5, 7, 2080433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, 5, -11073911, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)*a)\/a**(-1))\/((a\/a**(-4\/7))\/a**(-1\/10))*(a**(2\/17)\/a*a**(-7))\/((((a*a*a*a**(5\/3)*a)\/a)\/a)\/a*a**(-1\/2)) assuming a is positive.\nAnswer: a**(-28061\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/6*198\/(-110).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 46.4543 millennia?\nAnswer: 464.543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 - -82. Let f be (21\/14)\/(6\/4) + x. Solve -2*m = -u + 2 - 3, u - f*m = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.515203 kilometers?\nAnswer: 751520.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*j + 3*r + 4, -8 = -4*j + 2*r. Suppose -j*b - c + 10 = 1, -34 = -2*b + 4*c. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113322031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 10*n - 3*n)*(-3 + 2 + 2 + (0 + 5 - 2)*(2 + 4 - 5)).\nAnswer: -44*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.58273ml in litres?\nAnswer: 0.08158273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192956171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:38 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 7262*d + 546148. Determine u(-76).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -4*b - 2*x, -4*x = 4*b - b - 56. Let k be b\/(-10)*(-10)\/4. Suppose k*c + 20 = 7*c. Solve -h = 5*j - 6, 2*j + 7 = c*h + 4*j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14982 and 4540?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28231 and 3367.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 20, 0 = -3*c - 114*h + 109*h + 7022. Does 87 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*h - 6*h + 740863 - 7*h - 16*h.\nAnswer: 2*h + 740863","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**4\/28 + 69*t**3\/14 - 113*t. Determine r so that i(r) = 0.\nAnswer: 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 76, 49, -2, -89, -224?\n\"Answer: -2*x**3 - 13*x + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 10:27 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -37*i**2 + 52*i - 1. Let u(s) = -192*s**2 + 258*s - 6. What is -11*g(d) + 2*u(d)?\nAnswer: 23*d**2 - 56*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**3\/7 + 2372*w**2\/7 + 56800*w\/7 = 0.\nAnswer: -568, -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c (base 13) to base 12.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 42553*d + 1278334. Calculate z(30).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-60))\/(70\/(-160))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596, 1192, 1788, 2384, 2980?\nAnswer: 3576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 10*v**2 - 6*v - 22. Let l be z(9). Suppose -2*x - 12 = 4*r - 0*r, l*r + x = -21. Let c = -1 - r. Is c bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 116909.52 months?\nAnswer: 9742.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyefeyfefyfff. Give prob of picking 1 f and 3 y.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 - u + 215 + 64 - 166.\nAnswer: -u + 245","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-0.344518.\nAnswer: -0.2756144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -12486130 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = 2*q + 11, 2*q = 4*d - 68. Calculate the remainder when 49 is divided by d + (1 - 1) - 2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 0*v - 2 - 3*v. List the prime factors of h(-12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85.29138 + 28507.\nAnswer: 28421.70862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:33 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18539768, -74159069, -166857904, -296636273, -463494176?\n\"Answer: -18539767*m**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.56553 to two dps.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -11\/8, 2\/3, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*h**2 - 771*h**2 - 958*h**2 + 255*h**2.\nAnswer: -1681*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-12))\/(13\/52). Let d(v) = v**3 - 5*v**2 - 7*v - 5. Calculate d(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 15\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8058026063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68.84 + 68.74. Which is the closest to -0.3? (a) k (b) -2\/9 (c) 3 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 4708*n + 1004421. What is p(224)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99779 + -99781. Let z be (-124)\/(-336) - 4\/14. Which is the second smallest value? (a) d (b) z (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2679407058?\nAnswer: 2, 3, 5077, 87959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4768*m - 4727*m - 1147467 = 0. What is the greatest common factor of m and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + h + 35. What is the units digit of g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1754 - -1768. What is the lowest common multiple of 44 and j?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -2 - -3) + 14 + -19 + 11\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -14 + (13 + -7 - 18 - -15)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*f + 4*f - 25 = 0, 5 = 4*s - 3*f. Let m = 8 - s. Let d(z) = z + 5. Let r be d(-5). Solve -m*n + 4*j - 10 = r, -3 + 11 = -3*n + 2*j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 0*y - y**2 - 2*y + (0 + 1 - 2)*(-y**2 - 2*y + 2*y) - 2*y**2 + y**2 - 4*y**2.\nAnswer: -5*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1013 (base 4) to base 11\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 + t**2 - t**2)*(-240 - 147 - 27) as z*t**2 + b*t + j and give z.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-25))\/((-210)\/(-175)). Put -1, k, -0.5, -0.1, -107\/5 in increasing order.\nAnswer: -107\/5, -1, -0.5, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 514 - 409. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40442 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q - 15. What is d(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21144 (base 5) in base 3?\nAnswer: 1221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22576, 22576, 22578, 22582, 22588, 22596, 22606?\nAnswer: 22618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 257742 and 946?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 288550, 577188, 865826, 1154464?\n\"Answer: 288638*b - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*d + 2*h - 28, -2*h = -5*d + 214. Suppose -2*n + d = n. Suppose -n = 4*m - 6. Sort 0, m, -5, 4 in decreasing order.\nAnswer: 4, 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -5 + -19 - (-4 + 32).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2349782704 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/4, 246, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 46. Let d be y(12). Sort 58, d, 0, -1 in decreasing order.\nAnswer: 58, d, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*c + 59*c + 37*c**3.\nAnswer: 37*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -5, 3459 in decreasing order.\nAnswer: 3459, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) + (-22)\/14*28\/(-12). Solve 10 = 2*q - 0*q - f, l*q - 4*f = 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 11*h**2\/5 + 8*h\/5 - 3\/5 = 0.\nAnswer: -1, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2053758.\nAnswer: 2, 3, 7, 107, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(900) - sqrt(900))\/(sqrt(24)\/sqrt(2)*-5).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2\/5 - 2904*g - 43551\/5 = 0.\nAnswer: -14517, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3471779719 to the nearest integer?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41077387 and 1612.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 202*o**3\/3 - 1666*o**2\/3 - 578*o\/3.\nAnswer: -2*o*(o - 17)**2*(3*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21713908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 18*b**3 - 12*b**3 - 21*b**3 to v*b**2 + w*b + f*b**3 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n**2 - 6*n. Let p(h) = -8*h**2 - 5*h. Let b = 49 - -14. Let g be (-84)\/b*(-6)\/((-2)\/1). Determine g*p(o) + 3*s(o).\nAnswer: 5*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -8139, -10.\nAnswer: -8139, -10, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1002*c + 14027. What is i(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 294895162 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: List the prime factors of 1134401.\nAnswer: 223, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**2 - 1025364*x - 87614277708 = 0.\nAnswer: -170894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -207 (base 13) to base 8\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(-4\/3)\/w)))**32*(w*w\/(w**(-2\/17)\/w))**(-2\/67) assuming w is positive.\nAnswer: w**(-255454\/3417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 813913*l - 4883514.\nAnswer: (l - 6)*(l + 813919)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 4*d**2 + 3.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19402, 38814, 58224, 77632, 97038?\nAnswer: 116442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19524779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 + 3\/(48\/(-872)). Let d = z + 58. Solve -3*h - x = 4 + 14, -d*h - 23 = x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01766 take away 0.1?\nAnswer: -0.08234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5487 is divided by 105.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9205*-15955 - (-2)\/(-2). Let p = -470117344946\/3201 - a. Let h = -4\/291 - p. Is 0 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 349816*s**3 + 241443*s**2 wrt s?\nAnswer: 2098896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 23 - 7)*(6*f - 8*f - 6*f) + 0*f + 0*f + f to k*f + g and give k.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3838*f**2 + 22*f - 42.\nAnswer: -7676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 - 150*f - 1306. Calculate o(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/sqrt(72) + sqrt(1911)*5)\/(-3*sqrt(192)*1*2).\nAnswer: -53*sqrt(13)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*l = -1399 - 284. Calculate the highest common factor of 1694 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (2 - (1 - -4)) + (0 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j + 44 - 80 = 125 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 220827240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**4\/12 + n**3\/6 + 5*n - 12. Let l(q) = 5*q**3 + q**2 - q. Calculate -a(d) - l(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + 1 - (-168 + 151 - 70) - 3\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -40. Calculate the least common multiple of (17 - 0) + (-2 - -3) and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/17)*l*l**(3\/7)*(l**(-1)\/l)\/l**2)**(-1\/6) assuming l is positive.\nAnswer: l**(146\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + 0.25. Let z = k + 3.8. Let y = -4.1 + z. Which is the third biggest value? (a) 1 (b) -2\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 41*l - 175. Let k be t(-36). Suppose 2*a - a = 2*g + 30, 4*a = g + 120. What is the units digit of -2*k\/a*-318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.1 - -12. What is the second smallest value in 0.2, 4, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2618 - 2617. Which is the closest to -1\/17? (a) d (b) 2\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/44 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13256, -53017, -119278, -212033, -331276?\n\"Answer: g**3 - 13256*g**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 5, -25, -4 in ascending order.\nAnswer: -25, -4, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30535737?\nAnswer: 3, 10178579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:37 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1101680 and 1360.\nAnswer: 18728560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 874.383 litres?\nAnswer: 874383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1682 + 112?\nAnswer: -1570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220) + sqrt(220)*-5)*5)\/sqrt(10))\/(2*-5*sqrt(2)*5)*-1.\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*p = -145*p - 207*p + 12662 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1064 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14690 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 1:44 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 102384.186 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -72*y**3 - 5*y - 5. Determine r(-1).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -14. Suppose -27 = -s + 3*a + x, 2*a = 2*s - 38. Does 36 divide -2 + (-1548)\/(-21) - (-4)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3669.70558 rounded to 1 dp?\nAnswer: 3669.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -45*n - 37. Let r(u) = 11*u + 9. Let f(d) = -6*k(d) - 26*r(d). Does 20 divide f(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 20*a**2 - 6*a - 5. Does 50 divide f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(17)*-2)*-2 + 3 - (0 + (sqrt(17) - -2*sqrt(17)) + ((sqrt(102) + 3*sqrt(102))\/sqrt(6) - sqrt(17))))**2.\nAnswer: -4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41038 + 11?\nAnswer: 41050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 674*n**2 + 40*n - 38. Let m(t) = -168*t**2 - 9*t + 9. Determine 9*m(w) + 2*q(w).\nAnswer: -164*w**2 - w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.5 times -0.0478818?\nAnswer: 1.9392129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*b - 248, -5*o - 638 = -10*o - 4*b. Calculate the smallest common multiple of 208 and o.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-8))\/(189\/(-216))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wggwgrwgww. What is prob of sequence ggg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:50 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -15*b**3 - 14*b**2 - 21*b - 10. Let f(a) = -5*a**3 - 5*a**2 - 7*a - 3. Let s(l) = 3*d(l) - 8*f(l). Give s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + p - 12. Let t = 0 + 9. Let h = t - p. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80469\/4 + -20116. Factor 3\/2*y**3 - 1\/4*y + 0 + z*y**2.\nAnswer: y*(y + 1)*(6*y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5\/11 - 688*v**3\/11 - 5760*v**2\/11 - 800*v = 0.\nAnswer: -10, -2, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/3 and -41\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1007)\/212)\/((-38)\/4). Which is the second smallest value? (a) -1\/4 (b) x (c) 24\/17 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14553340141 - 3?\nAnswer: 14553340134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 1\/24*d**4 + 5*d**2 + 3\/2*d**3 + 0*d + 0. Let l be w(-9). Solve -4*i - 32 = 4*r - i, 4*r + i + 24 = l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 8*h - 3)*(-5*h + 0*h + 2*h) - 14*h**2 - 1736 - 4*h + 1736 to the form v + m*h**2 + p*h and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/6))**(-1\/3) assuming u is positive.\nAnswer: u**(7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.04.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 32846*l - 32850*l - 6*w, -2*w = -l + 14 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/10 + 90219*g\/5 + 8139467961\/10.\nAnswer: (g + 90219)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**7\/2520 - s**6\/180 - s**5\/60 + s**4\/4 - 4*s. Let l(n) be the third derivative of q(n). Determine l(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**4 + 144*k**3 + 1344*k**2 + 2816*k = 0. What is k?\nAnswer: -4, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2 + 4*p - 4. Let k(h) = -11*h**2 - 9*h + 9. Let b(m) = 5*f(m) + 2*k(m). Let u(x) = -x**3 + 4*x**2 + 2*x - 2. Calculate 4*b(d) - 3*u(d).\nAnswer: 3*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 98c2 (base 14) to base 13\nAnswer: c055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, -0.9, 0.1, -17\/7 in ascending order.\nAnswer: -17\/7, -0.9, -2\/27, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.8, -2474, -14\/3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867994.8 minutes to seconds.\nAnswer: 52079688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 + (-3 - 1) + -80 + 84 - 6.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**2\/2 - 3*f - 5. Suppose -2*q = 2*q - 16. Let m(z) = z - 4. Determine q*l(k) - 3*m(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 169252274 to the power of 1\/2, to the nearest integer?\nAnswer: 13010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 225715016 to the nearest integer?\nAnswer: 15024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y. Let o(d) = 354*d**2 + 44*d. Determine -44*n(w) + 2*o(w).\nAnswer: 708*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l - 30. Let n = -57 - -70. Is 13 a factor of k(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 2:10 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1204665*d**4 + 97386*d**2 wrt d.\nAnswer: -28911960*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1502*688662\nAnswer: 1034370324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 10*d = -20. Let k be d + 9\/6*-2. What is the third derivative of -w**2 + 6*w**2 + 15*w - 15*w - k*w**3 wrt w?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30041.\nAnswer: 11, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -887*n**3 - 791*n**3 + 35*n**3 + 54*n**3 - 88*n**3.\nAnswer: -1677*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 75.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3904338394 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 - 304*s - 11 + 603*s - 306*s. What is the remainder when g(-3) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 - 562\/5. Suppose 4*f = -2 - 10. Let m be (f\/(-4))\/((-153)\/24). What is the nearest to 0 in 0.3, m, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.1 (b) 1\/19 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 28 = 4*h, 5*d + 21 = 3*d + 5*h. Which is the second biggest value? (a) 1\/3 (b) -1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2052 + 3588. What is the remainder when 276 is divided by 25\/((-275)\/(-2)) - u\/(-22)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + sqrt(8))\/sqrt(4) - (sqrt(2) + -1)**2*-6.\nAnswer: -7*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 49*u + 36*u - 69*u. Let k(r) = 25 - 2*r**2 - 8 - 17. Calculate o(k(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/35*(-100)\/200)\/(4\/180)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*h - 2801 = 4297 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 10977.\nAnswer: -10977.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4225.4l in millilitres?\nAnswer: 4225400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*y + 22 + 0 = 0, -3*f - 3*y = -18. Suppose 30 = -0*d + f*d. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-4) - (-3 + 0) - 3. Let i be 3 + -2 + (3 - 2)*o. List the prime factors of 27\/12 + i - (-909)\/12.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -79*i - 7. Let w be q(-10). Suppose 4*l - d + w + 13 = 0, -4*d = -5*l - 995. Is l\/(-3 - -2) - (-3 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 32. Give n(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -921 - -919. Sort 4, c, 3 in decreasing order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-158)\/24 - (6 - 7) and 87\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-1*(55\/(-10) - -6) - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 - 124*r + 162. Determine j(40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0\/(-1))*1776\/48. Let j be (-2)\/4*1*-74. Calculate the highest common factor of w and j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 12:19 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 8*r**2 + 9*r**2 + 7*r**2.\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38922993?\nAnswer: 3, 89, 48593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**10\/a*a\/(a\/(a**(7\/6)*a))*a assuming a is positive.\nAnswer: a**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19370.\nAnswer: 2, 5, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 take away -0.76?\nAnswer: -19.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4664.88 - 4759. Let d = c - -94. Round d to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:26 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 5*p + 6. Let r be ((-1)\/3)\/(3\/p). What is the second smallest value in r, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + l = 12*h + 7, 4 = -4*l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 24 = 99. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.8, 33, 0.03, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b3 (base 16) to base 10.\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h. Let j(n) = n**3 - 7*n**2 + 6*n + 3. Let b be j(6). Let g be (b - 1)\/((-4)\/(-10)). Suppose -2*v - 12 = 2*z, -z - 1 + 19 = -g*v. What is o(v)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j - 4*j + 2*j**2 - 3*j**2 + 2*j**2 + 4. What is the units digit of p(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 2*g + 4*g to c + s*g and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from haavhvvavhva. What is prob of sequence hha?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4378723146 and -45.\nAnswer: 4378723101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 565*l - 570.\nAnswer: 5*(l - 1)*(l + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -15. Suppose 0 = -2*w + 4*w - 4. Sort w, 4, s.\nAnswer: w, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 8610 = 8*w + n, -8610 = -5*w - 5*n. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 308 - 312. Let n be (b\/(-8)*-2 - 3) + 12. Calculate the greatest common factor of n and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvlv when four letters picked without replacement from lllllllvlvll.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -35*(-6 + (-224)\/(-49)). Suppose 0 = -24*p + 19*p + 90. Suppose 23*g - p*g = 100. Calculate the greatest common factor of m and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110*112\/(8400\/15)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o = -39. What is the remainder when 49 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30426 or -30428?\nAnswer: -30428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {b: 5, e: 8, s: 1, r: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - 18\/15\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2 + 111*b - 70. Let j be w(20). Solve 22*l = -8*l + j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Which is the biggest value? (a) k (b) -2\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d = 32*d - 0*d - 458171. Is 37 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 7, d: 1}. What is prob of picking 1 r and 1 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.34 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -2\/15*m**3 - 1\/10*m**4 + 1\/5*m**2 + 0*m - 12 + 2\/25*m**5. Factor b(a).\nAnswer: 2*a*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/1615969 and -91\/1140684?\nAnswer: 19391628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4 + 40. What is the remainder when 42 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l - 2. Let j be r(3). Let y = 60 + j. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(130)\/sqrt(10) + sqrt(117)\/sqrt(225).\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + i + 2704 - 2722, z - 5*i = -18 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 31*x**2 - 33*x + 295. Give c(32).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (3 - 0)*6*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 822 = -308. What are the prime factors of v?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i**(3\/5)*i)\/i)*i)**(-3\/38)*i\/(i*i*i**(-21)*i)*i*i*i**(-14)\/i*i)**(-2\/29) assuming i is positive.\nAnswer: i**(-1294\/2755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178110 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 287*p + 9628 + 2014 + 412 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*m + 2*w, 2*w = 3*m. Let x = 0 - m. Suppose -p = -x*p - 3. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-2) + (-78)\/20. Sort v, -7, -0.2 in descending order.\nAnswer: v, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 0.3, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*n + 283 = 6*x, -3*x + 211 = 5*n. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2))**(-29))**(5\/11)\/((f\/((f**4\/f*f)\/f))\/(f\/f**(2\/9))*f**5*f\/(f*f**(-1\/4))) assuming f is positive.\nAnswer: f**(1631\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 10. Solve 6*s = z*s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*k + 6 = -353*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 0.08, -2\/9, -3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*b + 110, 65 + 65 = 3*l + 5*b. Suppose -3*g = g - l. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, 3\/7, 1\/3, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -49. What is the remainder when 165 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/4370 and -37\/27455?\nAnswer: 1262930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**3\/6 - p**2\/2 - 14*p + 3. Let v(a) be the first derivative of q(a). Determine v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 909 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49 + 354?\nAnswer: 30b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1064763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292136 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -2837*w**8\/56 + w**4\/6 + 484*w**3\/3 + 2*w - 2. Find the third derivative of k(p) wrt p.\nAnswer: -340440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6 = 3*t, 3*r - 1 = -2*t + 3. Suppose 2*o + 2*o - 20 = r. What is the derivative of o - 2 - 1 + 3*l**2 wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysyffxywyfwxnfy. Give prob of sequence yx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*t - 573 - 1677 = 0 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 l when four letters picked without replacement from lllllllvlvv?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2086597 >= -2086586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466073979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36*63276.\nAnswer: 22779.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 4*p - 20. Let s be i(3). Calculate the remainder when 82 is divided by 174\/11 + -2 + s\/(-143).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31023542 rounded to the nearest 10000?\nAnswer: 31020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 641356717 or 0?\nAnswer: 641356717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.259 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415282 is divided by 207637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128*t**3 - t + 193 wrt t?\nAnswer: -768*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.016 and -873?\nAnswer: -13.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -19. Suppose q*h - 7*a = -3*a - 140, 329 = -5*h + 3*a. Let n = -48 - h. What is the least common multiple of 56 and n?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-689*1662\/(-21606).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(18) - (sqrt(18) + sqrt(36)\/sqrt(2))) - sqrt(18))\/(sqrt(540)\/sqrt(10)) - (4 + 1 + sqrt(3888)).\nAnswer: -107*sqrt(3)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -141?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 210112122102?\nAnswer: 210112122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(264))\/sqrt(6) - -5*(sqrt(5324) + sqrt(44)))**2 - ((4*sqrt(264)*-1)\/((sqrt(72) + 1*sqrt(72) + sqrt(72))\/sqrt(12)))**2.\nAnswer: 1621312\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 9 = -3*h, 8*r - 6*r - 3*h + 9 = 0. Suppose r = -8*o + 7*o + 3. Determine l, given that 12*l**3 - 328*l**2 + 6*l + 3*l**3 + 0*l**o + 307*l**2 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w - w**2 - 3*w**2 + 4*w**2 + 5*w**2. Let b(j) = -4*j. What is p(b(x))?\nAnswer: 80*x**2 + 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17304.9903 + -17299. Let i = 6.02 - b. Round i to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8303, -5, -9, 15, -4 in descending order.\nAnswer: 15, -4, -5, -9, -8303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:27 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) + ((-581)\/70 - -9). What is the biggest value in c, -1\/8, -3, -1.26?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 5. Let w be v(-3). Suppose 5*z = 3*z + 4, -3*t = -4*z + 2. Factor -2*u**2 - 4*u**3 + 4*u**3 + t*u**w.\nAnswer: 2*u**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -450*q**2*x**3 - 15*q**2*x**2 - q**2 - x**2 wrt x?\nAnswer: -2700*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7450\/7 - -1066. Let b(z) be the first derivative of -3 - w*z**2 - 9\/7*z + 3\/7*z**3. Factor b(j).\nAnswer: 3*(j - 3)*(3*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*57\/1330*9\/((-108)\/70)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 - 1 - 6 + 6 + 0. Determine h(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/7 (b) -4\/2143 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*f + 52 = 0, -4*k - 3*f + 5 = -88. What is the greatest common divisor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12*m**2 - 2*m + 1. Let z be q(1). Let w = 18 + z. Suppose w = -y - 4*j + j, 7 = 5*y - j. Is y greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -97, 948, -2, 3, 4.\nAnswer: -97, -2, 2, 3, 4, 948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - 1177 + 3*y + y**3 + 1126*y**2 + 3*y + 19*y**4 + 1173 - 1127*y**2 in the form u*y**3 + r*y**4 + g*y**2 + w + j*y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 403.37 millilitres in litres?\nAnswer: 0.40337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2 + 12*f - 3. Let c = 5 - 10. Let d(g) = 6*g**2 - 13*g + 2. Let x(p) = c*r(p) - 4*d(p). Determine x(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91.992 - 92. Let z = d - 0.392. Sort z, 0.6, 5.\nAnswer: z, 0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 8*p**3 - 70 + 148.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - i - i**3 - 12*i**2 + 3 - 9*i + 1. Let b be a(-11). Solve -5*f + 5*j = -25, b*j - j = f - 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(95)*2*3)\/((-2*sqrt(500) - sqrt(500))*-4 + sqrt(500) + 1*2*sqrt(500)).\nAnswer: -4*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 11*w**2 + 944*w + 2008. Determine q(-84).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (47 - 3 - (27 - (-2 + 19))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**8\/84 - 4*z**7\/21 + 5*z**6\/3 - 16*z**5\/3 + 55*z**4\/6 - 28*z**3\/3 + z**2 - 859. Factor u(y).\nAnswer: -4*(y - 1)**4*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3071 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7fdf1f7 + 5?\nAnswer: -7fdf1f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15377.\nAnswer: 15377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.934 + 35. Let t = c - 0.065949. Round t to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. Let o be (2 + 0)*(-1)\/(-2). Let w be ((-18)\/o)\/(-3) - 1. Solve w*q + 1 = n*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6370452 is divided by 109834.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 21, -5*z - 4*u - 1 = -4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 833*p = 836*p + 11, 5*p = 5*l + 40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 + -1055?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 195 or -23\/12?\nAnswer: -23\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 w when three letters picked without replacement from wwwwkwwkwk?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 14*i**2 - 4*i + 629. Is n(59) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m**3 + 2*m**2 + 2*m + 7. Let r(x) = 4*x**3 - x**2 - x - 4. Let w(a) = -3*q(a) - 5*r(a). Suppose 1 - 3 = -g. What is the units digit of w(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 2*i - 5. Let v be d(-4). Suppose -w + v = -4. Suppose 4*o = -3*j + 5, -w + 26 = j - 3*o. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3, 3*a + 21*i - 25*i - 108883 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1, 152\/3, -2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 16 + 6 = 0. Let y(s) = -58*s + 1. Let a(g) = 57*g - 1. Let i(b) = -4*a(b) - 5*y(b). Is i(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (109 - (191 - 26)) + (7 + -2 - (-2 - 0))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*a + 121*a = 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 - 20*p + 19. What is x(2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (15*(-10)\/(-50))\/(4\/((-66392)\/(-3)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1237 (b) -8\/17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 414571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1835334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = 3*x, -2*p - 4*x + 3 = -3. Solve t + 2*c - 7 = c, -t + 4*c = p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/55 - (-114)\/22. Solve 3*c = m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000063311 rounded to seven dps?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*k**2*x**3 - 8*k**2*x - 11*x**3 wrt k.\nAnswer: -12*k*x**3 - 16*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4831 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 16. Let l(f) = -51769*f. Determine s(l(c)).\nAnswer: 103538*c + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1367, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-14 + 6)) + 15 - 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99.953 - 0.047. Let u = l - -99. Let g be (21 - 3)*(-1)\/4. Which is the nearest to -1\/3? (a) -0.5 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.09, 5, 4, -3, -7\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - a261b97?\nAnswer: -a261b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - -47 - (-62 - -33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 12:46 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 15. Solve -d + 1 = h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271692595 divided by -54338519.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 7*q**2 - 3*q - 15. Let v be b(-7). Let s be (-6)\/(((-45)\/v)\/5). Solve k = -4*k + 2*t - 30, -s*t = -5*k - 40 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2970 divided by -6?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -11*b**2 + 1 + 3*b - 2 - 7*b. Let s be a(-2). Calculate the highest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-8)\/(a*a**8))\/(a\/a**(-2\/3)*a**7))**29 assuming a is positive.\nAnswer: a**(-2233\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbb. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-20))\/((-252)\/35 + 9).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 17*z**3 - 231*z. Let k(m) = 4*m**2. Give k(h(i)).\nAnswer: 41616*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1715 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-28 - (-1 - 1)). Let q be 12\/(-42) - n\/(-140). Which is the nearest to 2\/5? (a) 4 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.08162.\nAnswer: -0.08162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5c5 (base 13) to base 16\nAnswer: -3ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 2245*i**2 - 72624*i + 546480.\nAnswer: (i - 20)*(i - 12)*(i + 2277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 222077633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5573 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119\/296 + 1\/37. Which is the third biggest value? (a) j (b) 0 (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8993?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21520 (base 7) to base 13.\nAnswer: 25c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 575*z. Let t(i) = 28*i + 1. What is v(t(h))?\nAnswer: 16100*h + 575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 402, 401?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**4\/4 + a**3\/3 + a**2\/2 + 5. Suppose 0 = -5*i + 5 + 5. What are the prime factors of y(i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*j. Solve j = 5*d - 4*h + 2, -2 = -h + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57253\/6 + -9565. Which is bigger: m or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -46. Solve 0 + q = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 160?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34861, -34601, -34167, -33559, -32777, -31821?\n\"Answer: 87*l**2 - l - 34947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41625\/14 + 2971. Let x = -2216 + 48737\/22. What is the common denominator of f and x?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 1:29 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 0*g**2 + 3*g**3 + 4 - 2*g**3 - 2215*g.\nAnswer: g**3 + g**2 - 2215*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4109478 and 4351212.\nAnswer: 73970604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -60.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 112 + 25 = 3*f, -v - 83 = -2*f. Suppose -4*x = -3*x - i - 11, 7 = 2*x + 3*i. What is the remainder when f is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -110*h + 3834. What is s(33)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 + 67*l.\nAnswer: 67*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -3*i - 2, -17*g = 2*i + 2786725 - 2786695 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 658826919 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)*r)**(-19\/4))**(-10\/11)*(r\/((r*((r\/(r**(-2\/3)\/r))\/r)\/r)\/r))**(-1\/19)*r**(-2\/15)\/r**(1\/10) assuming r is positive.\nAnswer: r**(11509\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -6145 (b) 0.5 (c) 61\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -212 (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*t + 728*t = 14575 - 141 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 117*p**2 - p + 266. Calculate m(117).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (-10 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-4))*a\/(a*a*a**(-7\/5)*a*a)*a**17*a\/(a**(1\/5)\/a*a)*a)**(-1\/20) assuming a is positive.\nAnswer: a**(-53\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-60)*(-5)\/2*88\/(-6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 3*p**2 - 3*p + 1. Calculate l(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q**2 + 46*q + 3. Let c(z) = 17*z**2 - 139*z - 8. Determine 8*a(w) + 3*c(w).\nAnswer: -5*w**2 - 49*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 4*r + 10, 3*x + 2*r - 34 = -x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14142, -56229, -126378, -224595, -350886, -505257, -687714?\nAnswer: -898263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4438*w + 45659 - 45659 to o*w + x and give o.\nAnswer: 4438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.6 + 7. What is the nearest to 1\/4 in 3, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - g = -4*g, 4*g + 18 = 2*c. Calculate the remainder when 5 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 18*k - 37. Let o = 41 - 94. Let d = o + 68. List the prime factors of v(d).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqyq when four letters picked without replacement from {y: 1, z: 1, q: 9}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 + 128. Solve -w*y = -2*y - 22 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(19) - (2 + sqrt(19)*1))**2 + (6*(sqrt(684) + (-3*sqrt(684) - sqrt(684)) + sqrt(684)))**2.\nAnswer: 98497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7) + -2 + 2 + sqrt(7))) + -2 + 2 + 0 + (-3 + sqrt(7))*6 + 2)**2 + -1.\nAnswer: -160*sqrt(7) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - t + 2)*(-3*t**2 - 9*t + 9*t)*(3*t**2 + 2*t**2 - 3*t**2)*(443 - 823 + 225).\nAnswer: -930*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + 0.3. Let q = 98 + -99. What is the nearest to q in k, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*z + 165 = 0, -32*z + 15*z - 25 = -5*f - 14*z - 8*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 864\/10584*(-14)\/12?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p - 9. Let y(q) = -q. Let m(h) = -t(h) + 2*y(h). Let u be m(-12). Is u <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyooyyyyyyyoyyyyyyy. What is prob of picking 2 o?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -19*s**2 - 8*s - 18. Let i(y) = 7*y**2 + 3*y + 6. Let v(w) = 4*g(w) + 11*i(w). What is v(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*u = 9*u, t + 2*u = 0. Solve t = 3*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 at least as big as 288\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i - 34*i + 11*i**2 + 76*i - 33*i.\nAnswer: 11*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34361 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2458 - -3418. Calculate the remainder when s is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = r + 15, -2*v = -4*r - 18. Suppose -258*b = -236*b - 22. Solve -b = -3*m - v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102 (base 3) in base 15?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95564.6 milliseconds in microseconds?\nAnswer: 95564600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 + 73493\/(-2940) + 12. Let f(j) be the third derivative of 0*j - v*j**5 - 1\/56*j**4 - 11*j**2 + 2\/21*j**3 + 0. Solve f(w) = 0 for w.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 67 - 1028*w**2 + 1029*w**2 + 118. Let s(u) = -u. What is f(s(m))?\nAnswer: m**2 + 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 2, l: 1, y: 1}. What is prob of sequence la?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139.9 - 196.3. What is m rounded to zero dps?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1 + 2 - -18. Let q(x) = 11*x**2 + 6*x. Let m = 1 - 5. Let u be q(m). What is the greatest common factor of j and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**2 + 14*j - 4 + 9*j - 10*j + 18*j. Let h be k(15). Solve 3*x + 5*n = 4, 0 = x - 5*n + 13 - h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -21, 4, 10 in decreasing order.\nAnswer: 10, 4, 1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:00 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.9 - 12. Let f = d - 0.2. Which is the biggest value? (a) f (b) 4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386019429 to the power of 1\/3, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 58 (b) -6.002 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 35187*p + 211139. Calculate t(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**2 + 63558*w - 2 - 63558*w + 2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23629690, -23629695, -23629702, -23629711?\n\"Answer: -p**2 - 2*p - 23629687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36016.4 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080486862.\nAnswer: 2, 7, 13, 83, 71527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1000)*1)\/sqrt(8) + -4)*1.\nAnswer: -5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 11.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.1, -44, -38?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192022685 + 2*c**2 + 192022685.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-768))\/(2\/(-9)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**3 + 30799659*c**2 - 62847604.\nAnswer: -6*c**2 + 61599318*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*d + 2, 3*h - 3*d + 8 = 2. Let v = 0 - h. What is the common denominator of (32 - v)*1\/(-8) and -63\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y = 0. Let o = y - -5. Solve 0*p + o = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 7:26 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 5, b: 1, j: 2}. What is prob of picking 1 i and 1 v?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 12 = 0, 4*g - 14 = 6*a - 4*a. Solve 3*b**g - 3*b - 2*b + 4*b + 3*b + b**3 = 0 for b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 228*1\/((-2)\/25). Let b be j\/65 - 2\/13. Let x = -12 - b. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i + 6. Let a(p) be the second derivative of 0 + p - 6*p**2 + 4\/3*p**3. Let k(u) = 6*a(u) + 13*f(u). Give k(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 24 = -8. Let w be ((-3)\/(-5))\/((-6)\/15). What is the closest to -0.2 in c, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 4*f - 505. List the prime factors of -3 + 6 + 3*f.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 4*q - 2. Suppose 3*w - 7*w + 33 = -5*u, w = 3*u + 17. Let j be a(u). Let -3*b**5 + b**4 + 0*b**4 - 3*b**3 + j*b**4 + 2*b**4 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 - 26. Let q(o) be the third derivative of o**4\/8 + 158*o**2. Determine j(q(n)).\nAnswer: -36*n**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1. What is the third smallest value in 0.3, 2\/19, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = 2*v. Let h = 349 - 355. Which is the second biggest value? (a) 0.3 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mss when three letters picked without replacement from {s: 12, m: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqnlwnnlqqlqlqnqwqq. What is prob of sequence qwqw?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 6*q + 269. Let r be d(10). Solve r = 3*v + j, -9*j + 12*j - 3 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29640 is divided by 1097?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -24\/11 (b) 2\/3 (c) 0.2 (d) 3 (e) -667\/6 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 101111?\nAnswer: 110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 3)*(5*m + 7*m + 5*m).\nAnswer: 85*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqqkieqeqmkiiiekk. What is prob of picking 1 k, 1 i, 1 m, and 1 e?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 3822 = -122*t + 537 + 646 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1303211002123?\nAnswer: -1303211002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3532, 3549, 3566, 3583, 3600?\n\"Answer: 17*x + 3515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/4661 - 563831\/139830. What is the common denominator of j and -7 - 6\/(-324)*394?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76930 rounded to the nearest one thousand?\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12805735*a**2 + 20378106*a.\nAnswer: -25611470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 2:30 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (-5 + 3))\/1. Let q(p) = -3*p**3 + 4*p**2. Let b(u) = u**3 - u**2. Give w*b(c) + q(c).\nAnswer: -c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -13. Suppose -5*f + 4*x + 321 + 229 = 0, -2*x - 10 = j. List the prime factors of f.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2491 - 122372?\nAnswer: -11baa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 - 3 + 3)*(-298 + 155 + a + 155).\nAnswer: -2*a**4 - 24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.4 - 24.6. Let o = i + 25. Which is the third biggest value? (a) o (b) 4\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336 > 1329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 879859 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 129020474?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 4:49 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 6529667\/5 and 1305934 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 621571220 + -2413561071726\/3883. Let g = 42\/353 + q. Let h = g + 384\/55. Is h smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8035 + -8039. Let q = -35.1 + -7.9. Put p, q, 2\/3 in increasing order.\nAnswer: q, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 689 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*m*q**2 + 2*m*q*u*x + 582449*m*u*x + m + q**2*u + 39992*q**2*x + 2*q**2 wrt u.\nAnswer: 2*m*q*x + 582449*m*x + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.39 * -0.5.\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23545 is divided by 189.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(2*1\/2). Let j = 3 - b. Suppose j*f + 58 = 2*f. Solve -w = -5*m - f, 0*w - 25 = -5*w + m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let f(h) be the second derivative of h**6\/180 - 2*h**3 + 18*h. Let x(j) be the second derivative of f(j). Determine z(x(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 15 = 5. Let h(n) = -n**2 - 6*n - 3. Determine h(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121.17 + -118. Round z to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 16*h - 18. Is 10 a factor of j(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {y: 4, c: 4, n: 4, o: 4, a: 4}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213 - 2*s**3 + 190 + 2*s - 13*s**2 + 13*s**2 to o + t*s + h*s**3 + v*s**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.1, -1\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5552518 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-65))\/(-1 - 3 - 175\/(-50)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 40*n**3 + 66*n**2 - 16*n. Let g(c) = -8*c**3 - 13*c**2 + 3*c. Let b(m) = 16*g(m) + 3*s(m). What is the third derivative of b(v) wrt v?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1604*j**3 + 130*j wrt j.\nAnswer: -9624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4217 less than -4217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-2))\/((-1)\/3))\/((-210)\/597520*-97).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*38 - (5 - 6). Let h = -26 + c. What is the highest common factor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**6\/8 - 11*j**5\/60 - 8*j**2 - 5*j. Let r(b) be the first derivative of w(b). What is the third derivative of r(n) wrt n?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -176956976, -176956973, -176956970, -176956967, -176956964?\n\"Answer: 3*q - 176956979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/7 + 21192*n**2\/7 - 42396*n\/7 + 21200\/7.\nAnswer: 4*(n - 1)**2*(n + 5300)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380615?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, -19182, 3, 4, 20.\nAnswer: -19182, -3, 3, 4, 14, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**6\/60 - 7*m**5\/60 + 5*m**4\/24 - 2*m**3\/3 + 325*m**2. Give k(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1806 and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2. Let v(w) = -337*w. Give r(v(a)).\nAnswer: -227138*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 = 2*b - 0, 2*g + b - 1 = 0. Let x = 2 + -5\/3. Suppose -x*u**2 + g*u + 0 = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d = -105. Suppose 0*k = 5*k - 10. What is the remainder when d is divided by ((-6)\/18)\/(k\/(-48))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 6. Let s be x(5). Let y(m) = 4*m**2 - m. Let n be y(s). Solve n*z = -14 + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = 8 - 52. Solve l*r - 1 = -c + 2*c, 4 = -c + r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5 - 16*a**4 + 24*a**3 = 0 for a.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -241. Suppose 4*b + b - m = 0. What is the hundreds digit of b\/6*663\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**7\/70 - 3*k**6\/40 + 3*k**5\/20 - k**4\/8 + 2*k**2 - 3. Let b(g) be the second derivative of f(g). Let b(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Suppose 5*x - 2*x + 3*t = -6, -3*x + j*t = -24. Suppose -x*k = -4*k - 3*h + 112, 3*h = -5*k + 524. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 3, g: 14, k: 1, v: 1}. Give prob of sequence vz.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 - 460 = -3*i. What are the prime factors of i?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5016180 + -2024770. Let u = -5505410 + s. Round u to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 7:39 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 7 + 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 26*w**5\/5 + 14*w**3\/3 - 25. What is the third derivative of p(b) wrt b?\nAnswer: 624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20374 is divided by 6790.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 2*m + 4*j + 156, -3*m + j = -88. What is the hundreds digit of (-9*6\/(-7))\/(2\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 273 = 4*u, 4*u - 17696*f + 17692*f - 285 = 95 - 72 for u.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 437226117 + 4?\nAnswer: 437226123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20 + 0 - 2*(-15)\/(-10). Suppose 15 = 22*p - n*p. Suppose c + 17 = p*v + v, v + 3*c + 12 = 0. Solve 2*f = 4*o + 21 + 3, v*f - 1 = -o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 10*t**2 - 7*t - 12. Let m be z(9). Let p(j) = 3*j**2 - 11*j + 12. Let u be p(m). Calculate the greatest common divisor of u and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 467759520 and 7200.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*p = -80, -4*p - 50 - 20 = -2*v. Suppose -3*u + 15*f = 18*f - 21, -3*f - 35 = -4*u. What is the remainder when v is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -47*a - 34. Let s be (a - -3)\/2*(7 - 7). Is s at least -1\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 4 - 4)*(-r + 2*r - 8*r) + 2 - 2 - 2*r)*(-22 - 18 + 10) to the form c*r + m and give c.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2269908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 13. Let v be l(-7). Let d(q) = 6*q**3 + 3*q - 6. Let f(x) = 2*x**3 + x - 2. Calculate v*f(t) - 3*d(t).\nAnswer: -2*t**3 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.322 + -0.362. Let w = -0.960022 + p. Round w to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 21 = -3*j + 4*u, 3*u = 3*j + 30 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.001 - -0.1390603.\nAnswer: 1.1400603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24 - 1 - (-3)\/3. Suppose 4*z + g = 7*z. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 42?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 14. Suppose t + 15 = -w*t, 4*p - 54 = 2*t. What is the highest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 69451170 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + c**3 - 3*c**3)*((0 + 1 - 2)*(-3 + 0 + 1) + 5 + 1 - 3 + (-1 - 1 + 1)*(-4 + 3 + 2)).\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34003 - 10?\nAnswer: 33443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 3*h**2 + 2*h - 2. Let o(j) = 8*j**3 - 7*j**2 - 5. Let n(g) = 10*g**3 - 7*g**2 - g - 5. Let s(y) = 5*n(y) - 6*o(y). Give -7*b(z) - 3*s(z).\nAnswer: z**3 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + v = -18545. Suppose 0 = 5*p - 3*s - v, -4*s = 5*p - 8*s - 3707. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582 = 3*d + 2*f, -d = 4*d - f - 970. Suppose 4*g = -2 + d. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 155, 228, 297, 362, 423?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 388cd + 5?\nAnswer: 388d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -2991.811137?\nAnswer: 2996.811137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/17 + 124*r**4\/17 - 968*r**3\/17 - 124*r**2\/17 + 966*r\/17 = 0. What is r?\nAnswer: -69, -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 d when three letters picked without replacement from {d: 10, k: 3, i: 3, l: 3}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**6\/6 - 6*q**2 + 7. Find the second derivative of b(i) wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1736669662 to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2434 - -6219. List the prime factors of v.\nAnswer: 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 + -54. Do 22 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = -3*u + 730. Suppose -3*a + 37 = -5*p, 4*p = 5*a - 0*p - 40. Suppose 0*o = -a*o + 56. Calculate the highest common factor of u and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -32, -0.059?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 4*f**2 - f - 3. What is b(-5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 345 = -3*y, 3*y - 226 + 61 = -2*x. Suppose -3*w + 4*n + 114 = -0*w, 0 = 2*w + 2*n - x. What are the prime factors of 2590\/w + 2\/6?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 s, and 1 u when three letters picked without replacement from ussrhmh?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*h - 4*g, 14 - 8 = 2*h + g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188949 is divided by 883.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -56*m + 779. Let k be y(14). Let d(b) = -b - 7. Let u(t) = -3. Give k*u(i) + 2*d(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273 and 14651.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87654 + -56110. Suppose m = -0*q + 5*q - 2*j, -4*j + 12608 = 2*q. Let v = q - 50549\/8. Calculate the common denominator of v and -95\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26240 by 5248.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1898767 - 3?\nAnswer: 1898764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13052.0419703 - 0.22.\nAnswer: -13052.2619703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (4981 - (0 + -1)) + (1 - (-5)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, -1, -0.0646?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -125 - (-12 - -5) - (-22 + 22 + -2) - 10?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -413 + 310 - (23 + -141)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -432*w**2 - 429*w**2 - 1 + 0 + 859*w**2 - 4*w. Let j(n) = 2*n**2 + 5*n + 2. Calculate 4*j(m) + 5*l(m).\nAnswer: -2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Suppose -y + 45 = 2*s, -4*y - s + 189 = -h*s. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*a - 6*a + 2*a)*(-3 + 5 - 3) - 7*a + 7*a - 9*a)*(4*a + 3*a - 4*a).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 18.8. Put -1\/10, 5, o in descending order.\nAnswer: 5, o, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/3)*f\/f**11*f\/(f*f**1)*f**(-2\/5) assuming f is positive.\nAnswer: f**(-181\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5905043*-0.1\nAnswer: 590504.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 27*c + 2*o - 10778 = 0, 3*o = -4*c + 21548. Calculate the remainder when c is divided by 117.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 252\/70*10\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 - 36. Factor m*g**2 + 2*g + 3*g**3 + g**3 - 36*g**2 - 38*g**2 + 1.\nAnswer: (g - 1)**2*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 57*u**4 + 1 + 335*u**3 - 666*u**3 + 332*u**3 to the form o*u**4 + f*u**2 + d + h*u + s*u**3 and give o.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 13. Let f be h(0). Suppose -4*r + 4*u = -20, 3*r - 2 = -4*u + f. What is the highest common divisor of r and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 12:13 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48435*l**2 - 48428*l**2 + 145350*l**2 - 11*l**3 - 15*l**3 - 48487*l**2.\nAnswer: -26*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22372 + -22323. Solve -70*b - x = -77*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(36)\/sqrt(2) + 4*sqrt(288))\/(-4*(sqrt(96) + (1*sqrt(96) - sqrt(96))))*-4)**2.\nAnswer: 1323\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.224+2254\nAnswer: 2251.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7702 - 50?\nAnswer: 7642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100 + 1022120201121?\nAnswer: 1022120121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*u - 42 = -294*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 882 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65\/2 - 32. Let p = 0.2 - 4.2. Let h = -2167 - -2166.8. What is the nearest to h in c, -5, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122202201222 - 10?\nAnswer: -122202202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, x: 17, o: 1}. What is prob of sequence ommx?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 14*(-36)\/(-40) - 9\/15. Let n = 3 + -1. Let b be (-2 - (n - 1))*-1. Calculate the highest common factor of c and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 7 + 15 = 0. Suppose 0 = -8*v + p + 20. Solve t + 2 + v = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*g - 3 = 2*l, -18 = -2*l + 2*g. Suppose q - 3*y + l = y, 0 = 5*q - 2*y - 12. Solve -q*s + 3 = 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6532.118 litres to millilitres.\nAnswer: 6532118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4459 and 97069.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3092.95588 to 1 decimal place.\nAnswer: 3093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + 73. Let p be (-11)\/n*1\/3*-3. Let d(f) = 4*f**2 - 2*f - 2. Let h(i) = 20*i**2 - 11*i - 11. Calculate p*d(j) + 2*h(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -444973709 and -3.\nAnswer: -444973712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 13. Let p(k) = 3*k + 2. Let x be p(1). What is the greatest common factor of x and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 2*s**2 - 2*s + 2. Suppose -3*w - 3*c = 9, -19 = w - 7*c + 4*c. Let f be (-18)\/48*((w - 4) + 3). Give n(f).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/2 in -0.5, -0.3, -3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012382536 to seven dps.\nAnswer: 0.0012383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q**2 + 10*q**2 - 13*q**2.\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.00370032575281 - -0.8\nAnswer: 0.80370032575281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = -1214 + 1412. Calculate the greatest common factor of k and 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 9 (c) -1 (d) 0 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5265\/135)\/(-1*3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**5\/15 + 13*a**4\/3 - a**3\/2 - 15*a**2. Is g(29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 + 25*r + 20. Let d be i(9). Solve 5*c + f - 26 = 0, 0 = -c + d*c + 4*f - 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((1 - 1) + 6 + -11 - -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = i - 4*f, 5*f - 787 + 1574 - 773 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 - -2) - (1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24 - 2.65. Let s = t + -0.11. Let r = 4 - 1. What is the smallest value in -1\/10, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*c - 1, 62*c - 188 = -4*v + 19*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.09 and -6507107138.\nAnswer: -6507107137.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 1. Let b(s) = -11*s + 19*s + 4 - 11*s. Determine b(p) - 4*d(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 276 and 10557?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 y when four letters picked without replacement from {e: 3, b: 5, y: 7, d: 2}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -675 - -6083\/9. Let g = -65\/63 + h. Which is the nearest to -1\/4? (a) g (b) -4\/7 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -300924973*u**3 - 941236328.\nAnswer: -902774919*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*k - 5*a, -a - 13 = -4*k + k. Let d(o) = -3*o - 453 + 4*o + 452. What is d(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112d66 (base 15) to base 11.\nAnswer: 50a9a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2000081 by -2000081.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8760358576 + -268.1?\nAnswer: 8760358307.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3026 + -8437.85.\nAnswer: -8437.5474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -450.788 to the nearest 10.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15814715 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**22\/(u\/u**(2\/7))*u**41*u**(-12\/7))**(-2\/177) assuming u is positive.\nAnswer: u**(-848\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 3:25 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n**2 + 16*n + 32. Determine c(-3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**5 + 25*t**4 - 60*t**3 - 380*t**2 - 400*t.\nAnswer: 5*t*(t - 4)*(t + 2)**2*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10420232 + 331?\nAnswer: 10420563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 13*w - 11. Suppose 0 = -5*p - 20, -3*f - 4*p + 10 = p. Is z(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*w. Suppose 2*n + 5*m = 288, w = 5*n + 2*m + 2*m - 686. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = -4*a + 32, -163098*a + 163093*a + 2*k = -16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b - 50. Let z be j(7). Let n be (4 - (z + 7)) + 3. Suppose -q = 3*q - 36. What is the highest common divisor of n and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -27*r**2 + 4*r + 1. Let m(l) = -28*l**2 + 3*l + 2. Let b(h) = 4*m(h) - 5*n(h). Is b(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7398611?\nAnswer: 11, 227, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 + i**4 + 2*i**4 + (-2*i - i + 5*i)*(-2*i**3 + 0*i**3 + 0*i**3) + 10*i + i**4 + 3 - 38*i**3 + 37*i**3 - 2.\nAnswer: -i**4 - i**3 + 10*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831*q + d = 830*q + 9, -4*q - 74*d + 386 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 442970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 - 110. Let j be m\/(-15) + (-5)\/(100\/1277992). What is j rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 48*p**2 - 12*p + 76. Let s(m) = m**3 - 84*m**2 + 22*m - 154. Determine -7*f(d) - 4*s(d).\nAnswer: 3*d**3 - 4*d + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**2 + 10*f + 58?\nAnswer: 4*f + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 + -23 + 12)\/((-6)\/(-218289)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27762, 27708, 27656, 27606, 27558, 27512?\nAnswer: 27468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/15*(-1325)\/10. Calculate the highest common divisor of z and 212.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t. Let z = 130 + -87. Let p(m) = -96*m + 50*m + z*m. Give p(g(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*t = -70. Let v be 84\/t*100\/10. What are the prime factors of 212\/7 + 24\/v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41285051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -66435 divided by -1\nAnswer: 66435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**0\/k))**(-10\/11)\/(k\/k**0*k**13))**(-17) assuming k is positive.\nAnswer: k**(2958\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 255*i - 1572. Determine r(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(0 - 4 + 10)*(-2*x**2 - 3*x**2 + 3*x**2 + (0*x + 4*x - 5*x)*(-4 + 4 - x) - 12*x**2 + 65*x**2 - 125*x**2).\nAnswer: -1314*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + m - 90, 8 = 2*m + 2. What is the remainder when 144 is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.8 - -3.2. Which is the smallest value? (a) f (b) 4 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, m: 2, z: 4, s: 2, b: 1, o: 6}. Give prob of sequence mbmo.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1108*l**3 - 18*l**2 + 12*l + 2. Let s(r) = -3325*r**3 - 57*r**2 + 38*r + 6. What is 19*f(v) - 6*s(v)?\nAnswer: -1102*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34994583*k**3 - 640066245 wrt k.\nAnswer: -104983749*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5\/7 + 10*d**4\/7 - 6*d**3\/7 - 10*d**2\/7 + 8*d\/7 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -152*t - 121*t + 8709750 - 380793. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(-1*(sqrt(9) + sqrt(81))))\/(2*sqrt(108) - sqrt(84)\/(sqrt(7) + sqrt(14)\/sqrt(2))).\nAnswer: -sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417 - 766 - 8339 = -139*c + 2015 for c.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3982 is divided by 102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x - 3. Let j(h) = h**2 + 8*h + 8. Let n be 27\/2*2\/3. Suppose 0 = -4*p + n + 3. Give p*j(m) + 8*z(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3857.305 to the nearest 100.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus -19781462.09169?\nAnswer: -19781462.13169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 179889.84 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1350 is divided by 280.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -205.641 and 0.11?\nAnswer: -22.62051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 0*p**2 + 1\/3*p**3 + 1\/6*p**4 + 0 = 0 for p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 232b - -12e33?\nAnswer: 1525e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734282316 divided by -1739.\nAnswer: -422244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**3 + 9*y**2 + 5*y + 7. Let w(c) = c**3 - c + 1. Let z(m) = k(m) - 4*w(m). Calculate z(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 8*o**2 + 6*o + 12. Let p(t) = -6*t + 10. Let f be p(3). Determine n(f).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i + 2*i)*(68*i + 69*i - 98*i) - 2*i**2 + 4*i**2 + 0*i**2 - 3 - 4*i**2 + 3 + (-2*i - 2 + 2)*(i + 4*i - 3*i).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 76, 5 in decreasing order.\nAnswer: 76, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-13))\/(-1))\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 7) + 8 + -1 + -22 + 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-10)*18\/(-6)*6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c - 8*c**2 + 2 + 2 + 8*c - 2*c.\nAnswer: -8*c**2 + c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*p**3 - 34*p**3 + 2*p - 2*p + 5*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29611927 - 29611927 - 991*s.\nAnswer: -991*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-10))\/5*5\/(-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1837 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -47*w - 13. Let j(v) = 18*v - 6. Let q be j(1). Suppose q*x + 39 = -x. List the prime factors of u(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/3)\/(18\/27). Suppose -f*n = -6*n + 16. Let r be n\/14 - 4\/(-14). Solve z + r - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/(4\/18). Calculate the least common multiple of (10 - -9) + n*12\/9 and 1\/(((-1)\/2)\/((-36)\/24)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49156 is divided by 91.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 28 = -3*f + 65, 2*f - 62 = -4*a. Let c = 49 - f. Calculate the highest common factor of c and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*t + 716 = 187, -533 = -5*r - t. List the prime factors of r.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 88 = -0*y. Let p = -840 + 999. Let m = p + y. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*x**3 + 293*x**3 + 5*x**2 + 0*x**2 - 9*x**2 + 4*x**2.\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + y**2 - 5*y - 8. Let b be t(-2). Solve -w = -5*g + 12, 4*w = 5*g - 17 + b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -29*k. Suppose -2*v + 12*v = 420. Let o(m) = -51*m - v*m + 98*m. Determine 34*o(h) + 6*u(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2867.\nAnswer: 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 5:46 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r + 78 = l, -3*l - 2*r = -200. Suppose -3*k - 826 = -62*k. What is the remainder when l is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((150\/10)\/3)\/((-16)\/(128\/(-760))).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 493, 8, 6, 2 in decreasing order.\nAnswer: 493, 8, 6, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/3)\/2)\/(2\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 937 divided by 2.\nAnswer: 937\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 312375*f**2 - 54*f - 70. Is l(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/52 - -5\/26. Which is the nearest to 2\/9? (a) s (b) -0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-10)\/4)\/1)\/((-37)\/74). Suppose -p*x = -x - 72. What is the smallest common multiple of x and 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -444, -457, -492, -561, -676, -849, -1092, -1417?\nAnswer: -1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3869372 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h + 8. What is the third smallest value in h, -2, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/15? (a) -2\/17 (b) 0.62 (c) -182 (d) -48\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j. Let z(c) = -7*c - 2. Let l(o) = 48*o + 14. Let k(n) = -l(n) - 7*z(n). What is k(q(s))?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 4*l. Suppose 0 = -4*v - 3*z - 2*z + 107, 58 = 2*v + 4*z. Suppose -10 = s - 0*s - 5*p, p = -4*s + 23. Solve -4*g - u + v = -l*g, -s*u = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 5*y**2 - 7*y - 4. Let m be g(-6). What is the derivative of -3*x**2 - 6 + x**3 + 3*x**m + 5 wrt x?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 11 - 19 = 0. Suppose -2 + n = -4*z. Let t(k) = -7*k - 1. Does 13 divide t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 14 = -3*j, -s - 66*j = -65*j - 10. Sort -5, 399, 3, s in descending order.\nAnswer: 399, s, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, s: 2}. Give prob of picking 3 i and 1 s.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-37)\/4 - 5\/(-20). Let t = z - -9. Solve t*g = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570 - 425 - (-1 - (-19 - 9)).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(162) + -3 + (sqrt(162) - (sqrt(162) - -2*sqrt(162))) + -2*sqrt(162) + 3 + 5*(-5 + (sqrt(162)*-2 + sqrt(162) - sqrt(162))))**2)*-2.\nAnswer: -56010 - 11700*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9124 divided by 37?\nAnswer: -9124\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 36*n**2. Let f(j) = -42010 + 42010 - 4*j**2. Calculate f(p(q)).\nAnswer: -5184*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13250 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + h - 9 = 0, 4*q = 3*h + h + 4. Let y(z) = z + 1. Let p be y(q). Suppose 5*k - 25 = -7*f + 2*f, p*f = 0. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c9a - 57c17?\nAnswer: -5aab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -14*g**3 + 18*g**2 + 6*g - 50. Let y(r) = -5*r**3 + 7*r**2 + 2*r - 17. Let d(w) = -4*m(w) + 11*y(w). Determine d(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 5.336?\nAnswer: 6.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-9) - 38\/90. Suppose 21*l - 26 = 8*l. What is the closest to -2 in l, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2580?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 326114143 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(10)\/sqrt(2) + -1 - (sqrt(180)*-1 + -2)**2) + -4.\nAnswer: -186 - 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 40.4. Let w = u - 3. Let c = 0.5 - w. What is the biggest value in 6, c, 1\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u = -12. Suppose -4*q = -0*q - 160. Suppose q = -2*t + u*t. Solve 4*n = -n - t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 7. Let q be v(-9). Let u(i) be the first derivative of -3*i**q + 1 + 1\/3*i**3 + 6*i. Give u(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 2, 26, -4, -53, -166 in descending order.\nAnswer: 26, 23, 2, -4, -53, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m - 3. Let z be g(-6). Let i = -20 - z. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11806 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven halves of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 828 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*i - 32 + 213*i - 475*i + 32.\nAnswer: -142*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3648.94981 + -0.05019. Let b = n - -3649.000002231. What is b rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 3*q**4 - 490*q**3 - 392 + 390 + 2*q + 438*q**3 in the form b + t*q**4 + z*q**2 + a*q + r*q**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -943 + 1129.7. Let s = y - 187. Which is the nearest to -2\/7? (a) s (b) 2\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(-77))\/(240\/(-84)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4\/7 + 892*f**3\/7 + 16920*f**2\/7 + 103248*f\/7 + 208224\/7.\nAnswer: -4*(f - 241)*(f + 6)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + f)*(-2 - 2 + 6) - 4 + 2*f + 4 + 0 - 1 - 1 - f)*(-3*f + f + 4*f).\nAnswer: 6*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 9637584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(17) - (-1 + sqrt(153))) + sqrt(85)\/(-2*sqrt(5)).\nAnswer: -5*sqrt(17)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = c - 2*b, 0 = -3*c + 4*b - 17. Is ((-6)\/(-14) + -1)*c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 1. Let c(p) = 124*p - 14 + 28 - 135*p - 4. What is -2*c(n) - 18*g(n)?\nAnswer: 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 8 = -4*g, -5*g = -3*i + 4*i - 19. Let r be (-7)\/((-14)\/12) - g. What is the biggest value in 0.5, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -192*m + 240 - 429 - 2011 - 2408 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.199 - -4.801. Which is the fourth biggest value? (a) 0.1 (b) k (c) -0.2 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 + 12*x + 22.\nAnswer: (x + 2)*(x + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 790301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 2315 - 39*k - 2308 + 4625)*(-k**2 + 0*k**2 + 0*k**2).\nAnswer: k**4 + 39*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 7:52 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a (base 13) in base 9?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let z = 3 - 3. Suppose -3*s + k - 12 = 0, 0*k - k - 3 = z. Let b be x(s). Calculate the greatest common factor of b and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -447\/4*b**2 + 63\/2*b**4 + 51\/4*b**3 + 9 - 84*b = 0.\nAnswer: -3\/2, -1, 2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277224339.\nAnswer: 3, 7, 13201159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 26*y + 2 + 47*y + 0*y - 18*y + 4*y.\nAnswer: 59*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52.51 + 56.4. Let t = 0.11 + f. What is the third biggest value in t, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110121 or -110111?\nAnswer: -110111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) -9 (c) -120175 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4\/9*l**2 + 0*l + 0*l**3 + 2\/9*l**4 + 2\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/9, 1, 2, -0.06, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 385.\nAnswer: 4\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = c + 94, 3*c + 106 = 159*n - 155*n. Sort 14, 0.5, n in decreasing order.\nAnswer: n, 14, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 10\/6)\/((-6)\/36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3. Suppose m + o - 4 = 0. Let g be 2 - (m\/(-2))\/1. Solve -g*t + 3*c = 4*c + 10, 4*t = -3*c - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 270 and 2670.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001587 rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (12\/2)\/((-1254)\/(-156) + -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 119\/(-175) + (-46)\/(-575) + 44\/(-10). Let q = 0 - 0. Suppose -3*d + d - 2 = 0. Put q, 1, f, d in descending order.\nAnswer: 1, q, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000066944548 rounded to 7 dps?\nAnswer: 0.0000669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76369 - b + b + 5*b**3 - 38183 - 38186.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m - p + 9 = 0, 4*p = -12. Let t = 0 - 0.4. What is the nearest to 1 in 2\/41, t, m?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:34 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81212763 by 5.\nAnswer: 81212763\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-98)\/12 + (-7)\/(-42). Let j be (d - -110)\/((-3)\/(-2)). What is the tens digit of (-119)\/j*-4*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2. Suppose 271 = 11*s - 257. Let j(y) = 44*y - y - s*y. What is v(j(b))?\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7922129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 415 and 155917?\nAnswer: 64705555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 8:25 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 1:40 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, -659, 3, -5, 3\/2 in increasing order.\nAnswer: -659, -5, -1, -0.4, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t = -42*t + 3871. Let b = t + -462. Is 2\/5 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-34838)\/(-14) - (-10)\/((-210)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20255159, -20255168, -20255187, -20255222, -20255279?\nAnswer: -20255364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -42*g + 2728. Give l(65).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83532256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 117 - 772 = 0. Let o(q) = -q**3 + 12*q**2 + 9*q - 3. Let k be o(11). Let m = k + b. Calculate the highest common divisor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30807 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -450863?\nAnswer: -18034.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 219.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3673 + -1.1673. What is the second smallest value in 2, 1\/41, s, -3?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - k**2 + k. Suppose 0 = -c + n - 3, 5*n = 4*c + 7 + 7. Let q(l) = -12*l**3 + l**2 - l. Calculate c*q(s) - v(s).\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42*((-2)\/13 - (-247)\/507) and 76?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (sqrt(75) + (sqrt(75) - (sqrt(75) + 0)) + -4 - sqrt(75))) + sqrt(75) - (((sqrt(75) - (sqrt(75) + 0)) + 4 - sqrt(75)) + sqrt(75)))**2*-5.\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**2 - 9*c. Let z(m) = -4*m - 2. Let k(n) = 2*h(n) - 5*z(n). Let s(l) = 2*l**2. Give k(s(g)).\nAnswer: 48*g**4 + 4*g**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -180 - -300. Let k = u - 67. Calculate the remainder when k is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 15, -5*g - 182 + 177 = 5*h. What is the greatest common factor of g and 842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {d: 2, k: 7, j: 2}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480*f - 5918321 - 1354834 = 23*f. What is the remainder when f is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.67 - -0.63. Let s = -0.3 + j. Let q = s - 12. What is the second biggest value in q, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - 26. Let f = 168 + t. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135\/2 + -66. Calculate the common denominator of (3*(-4)\/10)\/((17760\/55)\/(-12)) and p.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2091 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 t, and 1 b when four letters picked without replacement from {t: 1, i: 1, l: 4, w: 2, d: 2, b: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11\/8, -3, -15, 2\/9?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 12:06 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*u - 2742 - 2654. Let w be -2 + u + (-8 - -1). Let o(z) = 24*z**3 + 2*z - 1. Let l be o(1). What is the highest common factor of l and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*o**2 + 288*o + 320.\nAnswer: 4*(o + 4)*(13*o + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270\/360*((-1)\/(-1) + 87) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0, -1\/5, 0.1, 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*m**2 - 78*m**3 - 42*m**2 + 3*m - 12 + 9*m + 79*m**3 to o*m + u + z*m**2 + v*m**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/6)\/z)\/z)\/(z\/(z*z**(-7)*z))*z**2\/z**(-1\/8))**(-2\/93) assuming z is positive.\nAnswer: z**(145\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**2*z**2 - 129*a**2*z - 111850*a*z**3 + 89*a*z - 9*z + 2 wrt z.\nAnswer: 10*a**2 - 671100*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 822566473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-90))\/(5\/((-250)\/(-5)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i + 92 = -2*q, 3*i = -q - 68. Calculate the smallest common multiple of 3\/2*-1*i and 27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**2. Let v be -9 + (2 + -2)\/(-2). Let w(u) = -u**2 + 1. Let k(d) = 30 + 35 - 5*d**2 - 7*d**2 - 56. Let r(l) = v*w(l) + k(l). Give j(r(f)).\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**2 - 2*i - 1. Let c(r) = 15*r**2 - 4*r**2 - 2 + 0*r**2 - 3*r. Suppose 0 = 37*u - 584 + 325. Give u*h(m) - 4*c(m).\nAnswer: -2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*t + 1880 = 638, 2474 = 4*b + 2*t. Let l be 4*-1 + b\/14. Let n be (2 - 5\/3)*15. Solve 2*x = -2*k, 0*x + n*k = 5*x + l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30821560 to the power of 1\/2, to the nearest integer?\nAnswer: 5552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/((-1)\/(-2)))\/(-10). Let v be (2 + -1)*-1*22. Let y be (2 - 0) + v\/8. What is the closest to -2\/7 in y, 2\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w - 41*w = 0. What is the nearest to -0.1 in 0.4, 2\/23, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 63736, 63699, 63652, 63595, 63528, 63451, 63364?\n\"Answer: -5*b**2 - 22*b + 63763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -98 from -403.529.\nAnswer: -305.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1603967695 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - o = -4, -4*j - 5*o - 12 = -5*j. Let f(v) = 8*v + 3 - 4*v - j*v. Suppose -3*t - 7 = 2. Give f(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/5)\/(c**(-6)*c)*c**1*c*c*c*c\/(c**(-4\/9)*c))**(-10\/9))**(-2\/133) assuming c is positive.\nAnswer: c**(1592\/10773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 16 = 5*z, -4*q - 2 = 3*z - 4. What is the third derivative of b**5 + b**5 - b**5 - 3*b**q + b**5 wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -718 - -1017. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 9. Let z be u(5). Let j be (6\/9)\/((-2)\/(-3)). Let r(g) = -g**2. Let f be r(j). Do f and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*y - 44*y - 44*y - 46*y to the form k*y + m and give k.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 12 = 2*i. Let c(b) = 4*b**3 - 3*b**2. Determine c(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514 - 722 = -26*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 25, 56, 99?\n\"Answer: 6*v**2 + v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-31286304)\/(-2451050171)) - 0. Let y = -1\/3476256 + u. Let g = -2056\/9 + y. Calculate the common denominator of g and -145\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6697\/54 - -124. What is the biggest value in s, 5, -1, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 34 + 13 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223\/35 + -29\/5. What is the fourth biggest value in m, -2\/11, 66, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 11:50 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 - 12*x**2 + 12*x - 1. Let b be u(5). Solve 2*k = 11*k + b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -2)*-1 + 3. Suppose 0 = -y*c + 5*t + 40, c + c - 4*t = 38. Sort 4, 5, c in descending order.\nAnswer: c, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*x**3 - 95 + 95 + (-5*x**3 + 2*x**3 + x**3)*(3 + 3 - 2) - 1 - x**3 + 1 - 2*x**3 + 3*x**3 + x**3)*(-2*x + 2 - 2).\nAnswer: 58*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 9*x + 16. Let r be b(7). Let y(c) = 25*c**r + 31*c**2 - 54*c**2. Let j(q) = 13*q**2. What is y(j(l))?\nAnswer: 338*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34015 - 19046.5588?\nAnswer: 14968.4412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -177.009 + 176.96. Let y(t) = t**3 - t**2 + t - 1. Let l be y(0). Which is the closest to 1? (a) l (b) u (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 946*z**3 - 55*z**2 + 55. Let p(s) = -59*s + 59*s - 120 + 35*s**3 + 122 - 2*s**2. Determine -2*m(f) + 55*p(f).\nAnswer: 33*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56.059 - -0.059. Let n = s - -51. Which is bigger: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/30 and -125\/26292?\nAnswer: 131460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*z + 62*z = -320. Let u = -64 + z. Suppose 0*l - l - 2 = 0, -r + 4*l + 2 = u. Let x(v) = -v**3 - 6*v**2 + v + 1. Give x(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.3 and 12.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4232364 and 2964.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**5\/m)**(-18)\/((m*m**(-2\/55)\/m)\/((m**8*m)\/m)) assuming m is positive.\nAnswer: m**(-4508\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 8:57 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471727 is divided by 989.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 + 3*s + 4. Suppose -3*i = -3*k + 5*k - 5, 2*i = -4*k - 2. Determine h(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-72))\/(10860\/247608)?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -437, -3733, -12715, -30227, -59113, -102217?\nAnswer: -162383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1916*k**4 - 900 with respect to k.\nAnswer: -7664*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -1\/11, -363 in decreasing order.\nAnswer: 1\/5, -1\/11, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, w: 2, s: 1, k: 10, g: 3}. Give prob of sequence wks.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1558.2476+-1348\nAnswer: 210.2476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 29 (b) -0.01 (c) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 1 = -4*z - 0*f - 3, -2*z = -4*f + 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 210.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17381 is divided by 668?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 118587 - 4?\nAnswer: 118583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-40))\/(84\/30)*(-84)\/72.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - w**2 + 5*w - 1. Let o be n(6). Let h = -217 - o. Let d(i) = -3*i**3 - 13. Let b(m) = -3*m**3 + 3 - 2 + 5 + 4*m**3. What is h*d(q) + 13*b(q)?\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 757, 1513, 2269, 3025, 3781?\n\"Answer: 756*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 - 46*w**2 + 38*w + 127. Determine u(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72846 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 33 = 3*d. Suppose -2*i = -5*s - 0*i + 9, 3*i = -6. What is the tens digit of ((-1 - -4) + d)\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**5 - 1230*v**4 + 31*v**3 + 1329271*v**2 - 2*v wrt v.\nAnswer: -60*v**2 - 29520*v + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -39 (b) -1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 21443426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -5, 2395, 6, -119.\nAnswer: -119, -5, 2, 3, 6, 2395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6172 is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307, 612, 917, 1222, 1527, 1832?\nAnswer: 2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-120)\/5 - (-2)\/(-2). Let n be (12\/(-5))\/(10\/j). Let q(t) = t**3 - 4*t**2 - 5*t - 6. What are the prime factors of q(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1518377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10012 + -13123330?\nAnswer: -13113312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u + 4. Let q(y) = y + 1. Let k(w) = o(w) + 2*q(w). What is the first derivative of k(l) wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 5:14 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 564 - 566. Suppose p = -4*p. Sort 4, p, -5, m.\nAnswer: -5, m, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z\/z**(-2\/9)))\/z)\/z**(-7\/3))\/(z**5*z\/z**5) assuming z is positive.\nAnswer: z**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 674 + -329. Let p = v - 229. Let n = 116.73 - p. What is n rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 10:44 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(7975\/60)*(-2849)\/(-518)\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**5\/8 + 47661*y**4\/8 + 94945677*y**3\/4 + 2354186163*y**2\/4 - 36429866781*y\/8 - 40948395411\/8 = 0?\nAnswer: -7931, -31, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8242 + 4151 + 6936)*(-9 + 9 - 4*j).\nAnswer: -11380*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 2*m + m + (0*m + m + 2*m)*(0 + 2 - 4) - 28*m + 33*m - 21*m - 3*m + m + 3*m)*(3 - 6 + 1) to o*m + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24382, -24369, -24356, -24343, -24330, -24317?\n\"Answer: 13*r - 24395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157e (base 16) to base 12.\nAnswer: 3226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 821529671 a multiple of 2418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**1*j*j**17*j\/j**2*j**(3\/4) assuming j is positive.\nAnswer: j**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2385529?\nAnswer: -1\/2385529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxzzizxizix. What is prob of sequence ix?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y. Suppose 0 = -4*b + 149 - 29. Suppose -b = -m - 2*m. Let r(v) = -m*v**2 - 4*v**2 + v**2 - v**2. What is r(q(i))?\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1021 - 11213\/11. Let g = -737 - -735. Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37464 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, d: 14, n: 1}. Give prob of sequence udun.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 27, 3, 166 in decreasing order.\nAnswer: 166, 27, 3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 1. Let z(h) = 8*h**2 - 6*h - 6. Let y(t) = -5*n(t) + z(t). What is the remainder when 43 is divided by y(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z, n + z = 43 - 354. Let j = 182 - n. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**7\/105 + 91*b**6\/120 - 217*b**5\/60 - 67*b**2 + 2*b. Find the third derivative of c(k) wrt k.\nAnswer: -48*k + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l\/((l**5\/l)\/l)*l*l)\/l))\/(l**11*l))\/((l\/(l\/((l\/l**0)\/l)))\/l)**43)**(-4\/17) assuming l is positive.\nAnswer: l**(-128\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1025 and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 14. Let k(p) = 1. Let w = 101 - 100. Calculate w*g(n) + 8*k(n).\nAnswer: -2*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -26*i. Let u(h) = -2*h - 3. Let q(r) = -2*c(r) + 28*u(r). Let v be q(-21). What is the nearest to -1\/5 in -2\/11, 0.2, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 15*x - 11*x - b, 0 = 5*b + 20. Let a = -18 + 12. Let u(c) = -c**3 - 7*c**2 - 8*c - 9. Let z be u(a). Solve -6 - x = z*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*p**4 - p**4 - 3*p - 18*p**2 + 33*p**2 - 12*p**2 to h*p**3 + z + b*p**4 + m*p**2 + w*p and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(473*j + 1738*j - 782*j).\nAnswer: 4287*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -21 (c) -0.2 (d) 2\/21 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**4 - h**3 + h. Let s(t) = -273*t**4 - 2*t**3 + 234*t**2 + 2*t. Let n(o) = 2*j(o) - s(o). What is the third derivative of n(w) wrt w?\nAnswer: 6504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 7:30 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1278.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 17*q - 46. Give j(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -534650 (base 8) to base 16\nAnswer: -2b9a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (74\/4)\/((-3)\/258). Is (n - 5)\/(-2) - 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*b - 5352 = 741 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 148000247 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247332, -495771, -744210, -992649?\nAnswer: -1241088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0\/c)**29)**48\/(c*(c**(2\/7)*c)\/c*c*c\/(c\/(c*c**(-8)))*c*c*c*(c*(c\/(c*c**(-2\/5)*c))\/c)**50) assuming c is positive.\nAnswer: c**(222\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 491*o**4 - 42*o**3 + 478*o**4 + 5 + 476*o**4 - 1444*o**4 in the form u*o**2 + j*o + m*o**3 + r + i*o**4 and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24188706 divided by -426?\nAnswer: -56781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/13, 22, -1 in decreasing order.\nAnswer: 22, 2\/13, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1129271 and 2067.\nAnswer: 3387813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -8. Let o(m) = -m**2 - 5*m. Let u be o(x). Let j be (-4 - u)\/2 + 9. Solve h + 5*c - 8 = j, -2*c = 4*h + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 4*v**5\/5 + 63*v**4\/5 - 292*v**3\/5 + 458*v**2\/5 - 312*v\/5 + 71. Factor r(f).\nAnswer: 4*(f - 1)**3*(5*f + 78)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2*-2)\/(1\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897*f + 387*f + 689 = -1206*f - 4291 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at most -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 16 + 51)*(2*n + 4*n - 5*n + (0 + 4 - 2)*(2*n + 3*n - 3*n) + n - n + n - 4*n + 2*n + 7*n).\nAnswer: 594*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 34. What is the highest common divisor of 120 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**6\/120 - 3*n**5\/20 + n**4\/24 - 5*n**3\/6 + n**2. Let i be j(9). Solve 0*s = 5*s + 15, i = 2*g - 2*s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-297)\/(-4) + 4\/(-16). Is (w\/4)\/((-1)\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 3, -280, 4 in decreasing order.\nAnswer: 4, 3, -3, -4, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -551 (c) 316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**3 + 1 - 5*u**3 + 3*u + 0*u)*(2*u - 1 + 1)*(5*u - 4*u - 2*u).\nAnswer: -4*u**5 - 6*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26 from -136.1878.\nAnswer: -110.1878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s + 5615 = -51*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2446064 times 1\nAnswer: -2446064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2845*t**4 + 3806*t**3 + 613*t**2 + 3284*t wrt t.\nAnswer: 68280*t + 22836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6105*i + 26 - 1516*i - 16 - 1519*i - 1513*i - 1552*i.\nAnswer: 5*i + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5386, -2, 0.07, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8*l - 24325468 = -b, 4*l = b - 4865084. What is b rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 2. Let q be o(3). Suppose -121 = -5*w - 11. What is the highest common factor of w and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -216.0000428 + 216. Round t to six dps.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-7))\/(335\/2345). Let q(a) be the second derivative of -1\/12*a**4 + x*a + a**2 + 0 - 1\/6*a**3. Find u such that q(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 14*f - 68. Determine s(0).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -7) + (-6 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 106*l**3 - 46992\/5*l**2 + 1409408\/5*l - 2\/5*l**4 - 1362944\/5.\nAnswer: -2*(l - 88)**3*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*m + 9 + 8*m**2 - 3*m**2 - 4 - 3 + 0*m**2 in the form f*m**2 + b*m + x and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*t + t. Let l = t + 4. Suppose l = -g + 9 + 17. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:43 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y = -46*y + 4410. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let g = z - -2. Let m(b) = b - 1. Let y be m(g). Is y at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/3 - 8*g**3\/3 + 10*g**2\/3 - 4*g\/3.\nAnswer: 2*g*(g - 2)*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1080 and 188420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2466747, -2466745, -2466743, -2466741, -2466739?\n\"Answer: 2*x - 2466749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/3382487 and -22\/97.\nAnswer: 3382487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -33*r**2. Let d(h) be the first derivative of -h**3\/2 - 101*h - 57. Let o(a) be the first derivative of d(a). What is o(s(t))?\nAnswer: 99*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1146 divided by -2.\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 + -67. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -143?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948145.\nAnswer: 5, 11, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 5, 15, -1 in decreasing order.\nAnswer: 15, 5, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/36 and -37\/10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.572234 - 5714.29.\nAnswer: -5714.862234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5 + 1. Suppose 3*h - y*s = 2*s + 251, h - 3*s = 87. Let q = -115 + h. Round q to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 - 4032*y**3 - 8052*y**2.\nAnswer: -3*y**2*(y + 2)*(y + 1342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/9)\/d*d)\/d*d*d*d**(12\/7)\/d)**(8\/7) assuming d is positive.\nAnswer: d**(920\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 7:19 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -408 + 396 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 8:02 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttt. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**2 + 44*m + 27*m**2 - 44*m - 2*m**2.\nAnswer: 34*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 - -7)\/7 - 16\/(-14). Let y(u) = 61*u - u**2 - 28*u - q - 2 - 28*u. Let c(b) = -b + 1. Let g be c(-6). Determine y(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -43. Let p be v + (5 - 2)*-1. Suppose 0 = 2*k - 5*c - 11, c = 2*k + 5*c - 2. What is the greatest common factor of k and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*10\/(-4)*4 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kukeway. Give prob of picking 1 a and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 - 7*n**2 + 7*n**2)*(2 - 2 - 3*n).\nAnswer: 15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32453205 is divided by 2704428?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1100) - (-5 + (4 + sqrt(1100) + sqrt(1100))**2))*5 + -2 + -4.\nAnswer: -22064 - 750*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74572?\nAnswer: 2, 103, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 + 106. Let y(w) = 9*w - 2. Calculate the least common multiple of 36 and y(d).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32335 and 435.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2\/9, 183 in increasing order.\nAnswer: 2\/9, 1\/2, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -44*v - 230 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.8. Let f = -0.22 + 4.72. Let g = n + f. Put 2\/9, 3, g in increasing order.\nAnswer: 2\/9, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 9\/11. Which is the biggest value? (a) -2 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + sqrt(208))**2 + 4*((sqrt(208) + (0 + sqrt(208) - sqrt(208)))**2 - sqrt(208)))*2.\nAnswer: -32*sqrt(13) + 2072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(49700\/(-800)*4)\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -2\/9*x**3 - 1\/90*x**5 + 5 - 1\/12*x**4 + 0*x + 7*x**2. Let h(k) = 0. Calculate k.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000089862 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2304, 4632, 6958, 9282, 11604?\nAnswer: 13924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-1)*(-6 + 1). Let o be -1*18\/(-3) + -6. Suppose -3*q + 5*i = -y, -15 = -o*q - q + 3*i. Which is greater: 2\/45 or q?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - y - 1. Let s(w) = -w**2 - w. Suppose -9*b + 10*b + 3 = 0. Give b*s(u) + 2*j(u).\nAnswer: -u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1970\/(-12608)*-2*2*(-21)\/(-5)?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 381757?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5, 4, -8.7 in decreasing order.\nAnswer: 11, 5, 4, -8.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + (15 + -23 - (-442)\/56) and (2\/96)\/(2\/267)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from eenaneaeaanennennnnn?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-9)*12\/10. Suppose 5*j + i + 3 = 0, -2*i - 6 = -g*j + 2*j. Suppose 22*v = 24*v. Solve j = -v*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8556121753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 645\/(-4) + -6*(-6)\/72. Let t = v - -161. Factor t*h**3 + 0*h + 0*h**2 - 1\/4*h**5 + 0*h**4 + 0.\nAnswer: -h**3*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmm when three letters picked without replacement from {m: 6, n: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a97 (base 11) to base 15.\nAnswer: -2566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-6) + 30\/6. Solve p + 5*m = 13, -p + 2*m + t*m = 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o**2 + 17*o + 2242. What is the remainder when k(41) is divided by 321?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944317189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -13. Let k be (4\/7)\/((-8)\/(-28)). Suppose -6 = -2*a - 2*w, -1 + 4 = a - k*w. Solve g*m = -n + 3*n - 24, -m + 8 = a*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/8989 or 1?\nAnswer: -2\/8989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 2*j + 2*j)*(j - j - 2*j) + 472 - 472 + 529*j**2 + (0 + 2 - 1)*(j**2 + 0*j**2 + j**2) to the form l*j + t*j**2 + b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*11\/(55\/(-10)). Let f = -21 - -29. Let v be 5\/1 - (-3 + 3). Solve 3*k = 4*u - v, d*u - f*k - 13 = -3*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 42. Let y(x) = 4*x**2 + 6*x - 4. Let s be y(-3). What is the smallest common multiple of d(s) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391289476 to the power of 1\/3, to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -20, 5.\nAnswer: -20, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27294 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 525 - 15 = 0. Let z(a) = -2 - 233*a + 105*a + m*a. Let i be z(-1). What is the greatest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**4\/12 - 2*z**3\/3 - 273*z**2. Let n(j) = -7*j**2. What is n(a(s))?\nAnswer: -28*s**2 + 112*s - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2967042 is divided by 494507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 34*z - 37*z + 109, -7 = -5*o - 2*z - 232 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.8. Let p be (-10)\/(-98)*(-4)\/30*-3. Which is the second smallest value? (a) 1 (b) 0.1 (c) r (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (sqrt(448) + -1)**2 + 4 + sqrt(448) + (sqrt(567) - (sqrt(567)*-3 + sqrt(567)))**2 + (-1 + sqrt(7))*1.\nAnswer: -7*sqrt(7) + 5556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -11*g**7\/7 - 2*g**3\/3 + 13. Find the third derivative of d(x) wrt x.\nAnswer: -1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(((p\/(p\/((p**1*p)\/p)*p))\/p)\/p)\/p)\/(p\/p**5))**(-22))**39 assuming p is positive.\nAnswer: p**(-1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0.6, 0.09, 3\/2, -16?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 11:44 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 93 (c) 1\/4 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.044 and -0.0444.\nAnswer: -0.0884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38624, 77863, 117102, 156341, 195580?\n\"Answer: 39239*v - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 301\/1012 + -12\/253. Sort -29, y, 1, -0.3 in ascending order.\nAnswer: -29, -0.3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -n, -276*q + 274*q + 1 = -n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -0.3 (c) -1 (d) 677 (e) -444.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 61527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271217046.\nAnswer: 2, 11, 5252963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -93460970 rounded to the nearest 10000?\nAnswer: -93460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*k - 0. Let i(v) = v**2 - 5*v - 1. Let u be i(k). Suppose 0 = -3*t + 4*t + 3. Put u, 3, t in increasing order.\nAnswer: t, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -454 + 457. Which is the third smallest value? (a) 5 (b) -0.2 (c) -3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 4) in base 12?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200941485*p - 29373599 wrt p.\nAnswer: 200941485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -770*z + 760. Give n(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2700 + 2700 - 33231*a.\nAnswer: -33231*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2350 divided by 94\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d**2. Let x be (126\/15)\/((-9)\/(-45)). Let j(p) = 2*p + 30 - 72 + x. Determine h(j(m)).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 0 (c) 2\/39 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*f - 3*f + 1098 = 0 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*h + 22 = 0. Let l = 52 - 66. Let f = l + 13. Which is greater: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -32. Let r = 6 - 35.5. Let h = c - r. What is the nearest to -2\/7 in -3, h, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 + -65. What is the second derivative of -v + 14*v**y + 3*v**3 - 11*v**3 wrt v?\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 - 2*d - 1. Let c = -8 + 12. What is the remainder when u(-2) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16518653 to 3 decimal places.\nAnswer: 0.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -2\/3, 5325, -0.1, -1 in descending order.\nAnswer: 5325, 4, 0, -0.1, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**3 + s. Determine g(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -128, 35339, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1890)\/(-243) + 2\/9 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 417 divided by -568\nAnswer: -417\/568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(448)*5 + 5)**2.\nAnswer: 1600*sqrt(7) + 44900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 260. Let y = -77 + t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*(b\/b**(-2\/15))\/b)**(4\/27)\/(b**(-4))**(-6\/25) assuming b is positive.\nAnswer: b**(-1004\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35346473 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1200).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24613261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9470076 greater than 9470075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose -t - s*t = -69. Suppose 16*r = -0*r + 48. Solve -a = -2*l + 3, r*l + a = -3*a - t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751799 is divided by 537.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0. Let m = 55485 - 55485.2. Let w = -0.25 - -0.2. Which is the biggest value? (a) m (b) z (c) -4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22006886.\nAnswer: 2, 11, 1000313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-397)\/(-5) + 2\/(-5). Let b be (-2)\/(-10) - 266\/(-70). Suppose -85 = -b*z + r. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, v: 8}. Give prob of sequence vvv.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6) + (-56)\/(-21). Suppose 0 = 5*i - 3*q - 35, 2*i - 2*q - 14 = h*q. Is 71 - i\/((-7)\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 472 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 3 - 1)*(-1 - 2 + 1)*(-2*p**2 + 5 - 5 + (1 + 4 - 7)*(-2 + 2 + p**2)) in the form t*p + r*p**2 + g and give r.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/20 + i**4\/4 - 2*i**3\/3 - 2*i**2 + i. Let z be k(-3). Let d = z - 0. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 9. Let r be p(-11). Suppose 0 = -u - f - r, f + 17 = u + 3*u. Let q(g) = u*g - 5 + 5. Let j(t) = -4*t. Determine q(j(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.8 + -10.1. Round u to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 5:18 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**4\/4 + 5*k**3\/3 + 7*k**2\/2 + 2*k + 1. Suppose -4*s - 3*a + 26 = 0, -4*s + 3*a = s - 19. Is m(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -7)*(32 - (-2795)\/(-86)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjbxilqq. Give prob of sequence ij.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 5*n**2 + n + 7. Let k be l(-5). Let t = 12 - k. Suppose t*f - 4*c = 5*f + 57, -5*c + 23 = f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpn when three letters picked without replacement from wonyp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 453 and 215628?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -540145 divided by -108029\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 125497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2286 and 1181?\nAnswer: 269.9766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.54 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 15) in base 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 8*i**2 - 11*i - 10. Let x be s(-7). Let j = -6 + x. What is the remainder when j is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/170 - (-9)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {d: 4, q: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 10*h + 14 - 16 - 9. Let k(n) = n - 10. Let f be k(6). Let t(l) = 5*l - 6. Determine f*r(z) + 7*t(z).\nAnswer: -5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 bigger than 3843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -4*i**4\/3 + 3*i**2\/2 + 28*i + 1. Let q(g) = -33*g**2 + 7. Determine 7*n(l) - 3*q(l).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129027 or 129024?\nAnswer: 129024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 6) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m + 3. Let o be z(-2). Let c be (-50)\/o + 4\/6. Suppose 3*w - 8 = c. Sort -1, w, -2 in decreasing order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 + 57. What is the units digit of (1599\/(-26))\/(1\/k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -262*v**2 - 37*v - 5. Let r(k) = -787*k**2 - 102*k - 14. What is 11*n(o) - 4*r(o)?\nAnswer: 266*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 1. Suppose -3*w = -i*w. Solve w = -f - 2 + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.6959 rounded to 0 decimal places?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 - 12*d - 10. What is the tens digit of f(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.4 (b) 1 (c) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 822933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.23 - 1.53. Let d = -10 - -6. Let s be (10\/25)\/(-1 - 2\/10). Which is the second smallest value? (a) d (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 5196 (b) 0.3 (c) -9879 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -462, -828, -1194, -1560?\n\"Answer: -366*j - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0*v**6 + 0*v**5 + 0 + 0*v**7 - 24*v**2 + 0*v**3 + 0*v + 23\/24*v**4 - 13\/336*v**8. Find the second derivative of d(q) wrt q.\nAnswer: -260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = 9*k. Suppose k = 3*c - 297 - 27. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a = -68*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42336 + 634?\nAnswer: 43303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.39 + 0.09. Which is the closest to 1\/2? (a) x (b) -1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 185 = 4*l, n - 3*n = 5*l + 107. Let c = -28 - n. Is c < 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*x + 4*z, 2*x - 4*z - 12 = z. What is the third biggest value in 0.3, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3332, -3337, -3344, -3353, -3364, -3377, -3392?\nAnswer: -3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from {y: 2, m: 1, e: 2, u: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*z + 20*z + 15. Suppose 2*q = 5*q - 6. Suppose -p + c = 3, -3*p - 4*c + 9*c - 15 = 0. Sort -5, q, p, z in ascending order.\nAnswer: -5, p, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**2 + i**2 + 2*i**2. Suppose 3*n - 8*n + 10 = 0. Let v(m) = 2 - 2*m**2 + 0 - n. What is v(x(l))?\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/2 - 75*r**3 - 1547*r**2\/2 - 1251*r.\nAnswer: -r*(r + 2)*(r + 9)*(r + 139)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c**2 - 23*c - 5. Let m be n(8). Suppose 13*d + m = 3742. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 14*a + 13. Let s be -7 - -11 - -1*8. What is the remainder when z(s) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -452*w**5 - 99*w**3 + w - 601. Find the third derivative of u(v) wrt v.\nAnswer: -54240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -357458394 to the nearest one million.\nAnswer: -357000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 25 - 28 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73307, 146605, 219891, 293159, 366403, 439617, 512795?\nAnswer: 585931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61\/(-312) - ((-20825)\/1176)\/425?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.965 + -41.5?\nAnswer: 10.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5129 - 3246. List the prime factors of w.\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 318 = -32*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 3*i**4\/28 + 512*i**3\/7 + 195063*i**2\/14 - 396294*i\/7 + 3895. Suppose g(p) = 0. Calculate p.\nAnswer: -257, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/4)\/(21\/(693\/110)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -4*l + i, -3*l + 4*i = 547 - 568 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0074427 to 5 decimal places.\nAnswer: -0.00744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10851*l - 11168 = -10153*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 0*y**2 + 3*y**3)*(-2 + y + 2)*(420 + 573 - 719).\nAnswer: 822*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 18, 5, 536, -93, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 2 + (sqrt(432) - -2*sqrt(432)) + 2 + (sqrt(432) - (sqrt(432) + 2))*-4 + sqrt(432) + 2)**2.\nAnswer: 1680*sqrt(3) + 10996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogd when three letters picked without replacement from {g: 3, d: 1, f: 2, o: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a = 24*a - 264 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxddxxxxxdxx. What is prob of picking 4 x?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**3*k*k)\/k)**28 assuming k is positive.\nAnswer: k**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 3*s**4\/4 - 21*s**3 + 189*s**2\/2 + 255*s - 2702. Factor o(m).\nAnswer: 3*(m - 17)*(m - 5)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -5534?\nAnswer: 5536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-508)\/(-228) - 8\/(-76)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 172.526?\nAnswer: -13.80208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1916340 by 319390.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6892000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/4 of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 4*s**2 + 8*s + 8. Let d be r(-5). Let p(x) = -x**3 - 8*x**2 - 9*x - 10. Let j be p(d). Suppose -j*t - 190 = t. Is -40 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -66*o**4 - 256*o**3 - 19194*o**2 - 356365*o - 1937677. Let b(t) = 5*t**4 + 2*t**2 + t + 1. Let q(d) = 39*b(d) + 3*r(d). Factor q(j).\nAnswer: -3*(j + 12)**2*(j + 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(190)\/((sqrt(160) - sqrt(40))\/sqrt(4)))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 29*r - 52. Let i be c(-31). Suppose -g = 3*g - 520. What is the greatest common divisor of i and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 140511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/(-2)*(-10 - -14). Does 11 divide ((-5)\/(30\/9))\/(-3)*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 463570345 to the nearest integer?\nAnswer: 21531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 48\/6) + 6. Solve 0 = 4*y - 0 + o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 2*w + 3. Let o be (1\/(-4))\/(4\/16). Let c be 0 + (3 - 5)*-1*o. What is v(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 3*i - 7. Suppose 5*x = -0*x - 25. Let f be z(x). Solve f*r = -r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (4\/(-8) - 132\/(-8)). Let l(o) = o + 4. List the prime factors of l(y).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4)*1*18\/54.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 4*p - 10. Calculate f(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**5\/60 + p**4\/12 + 7*p**3\/6 + 2*p**2. Let r be z(-3). What is the highest common factor of 90 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13)\/b**(-3\/2)*(b*b\/((b*b\/(b\/(b\/(b**(-3)\/b*b))))\/b))**(-1\/22))**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from wuwfvqffupw.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 + -162667.\nAnswer: -162790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 8 + (-1 - (1 - 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -2*v**3\/45 + v**2\/15 + 2. Find z such that i(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/414 and 59\/2484?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -185, -369, -553, -737, -921?\n\"Answer: -184*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + 12\/4 - -4. Determine a, given that u*a - 16*a**4 - 80*a**2 + 13*a**3 - 2*a**3 + 57*a**3 = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - n + 0*n)*(7 - 7 + 6*n**2) - n**3 + 7*n**3 - 3*n**3 to the form t + l*n**3 + d*n + k*n**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**5\/30 - 3*v**2 + 2. Let o(q) be the second derivative of -3*q**3 + 18*q - 3. Determine m(o(g)).\nAnswer: 648*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttmgwwggmqthmgqqq. What is prob of picking 1 m, 2 q, and 1 t?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-15)\/((-3)\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 3*m. Let g(a) = -10*a + 137. Suppose -3*q - 1 + 43 = 0. Let b be g(q). Let n(p) = -4*p. Determine b*n(w) - 4*h(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-4) - 9\/(-108)*159. Solve -2*g = -b + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25931165329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**4 + s**3 - s**2 + s - 1. Let p(f) = -19*f**4 + 6*f**3 - 6*f**2 + 6*f + 155. Let u(i) = -6*d(i) + p(i). What is the first derivative of u(x) wrt x?\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397722 rounded to the nearest ten thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -15*u - 24. Let m(b) = b**2 + 211. Calculate q(m(g)).\nAnswer: -15*g**2 - 3189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2767*j**4*n**2 - 15*j**4*n - 514*n**2 + n - 1 wrt j?\nAnswer: -11068*j**3*n**2 - 60*j**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 2516993334?\nAnswer: 2516993330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664.360271 milliseconds in weeks?\nAnswer: 0.0000027519184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26343 + -316115\/12. What is the fourth smallest value in -1, g, 15, -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29053 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8668195 (base 10) in base 13?\nAnswer: 1a46613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 33997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498\/(-996)*(-2)\/4*(-20)\/70.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-10) - (-4381)\/10 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88001\/10235 + -4\/2047. Calculate the common denominator of g and 31\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-217)\/21 - -7)*(-4)\/10. Let n(m) be the third derivative of 1\/6*m**4 + 0*m + 0 + 1\/15*m**5 - g*m**3 + 8*m**2. Factor n(s).\nAnswer: 4*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4.5, 7.2, 5, 1 in ascending order.\nAnswer: -0.4, 1, 4.5, 5, 7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (168\/36)\/(0 + (-1)\/(-9)) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 37*y**2 + 538*y + 420. What is g(-14)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-232)\/13 - (0\/61 - (-4)\/26).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -638*b = -629*b + 13860. Let w = b - -723. Round w to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4 - 3*u + 6 + 5*u - 3. Let c be (-78)\/16 - ((-66)\/(-272) - (-52)\/(-442)). Calculate d(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, a: 3}. Give prob of picking 4 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 9*f**2 + 11*f - 25. Calculate x(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 - k**2 - 75. Let v(j) = -j**3 - 1. Calculate -c(w) + 4*v(w).\nAnswer: -2*w**3 + w**2 + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 809354178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u**2 - 2*u - 5. Let s(p) = -32*p**2 + p + 8. Let d(z) = 38*z**2 - z - 9. Let n(v) = -6*d(v) - 7*s(v). Give 2*f(b) - 5*n(b).\nAnswer: 6*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*l + 2*l**3 - 284*l - 24*l**2 + 0*l**3 + 21*l**2 to the form x*l**2 + n*l**3 + f*l + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7987 in 2\/9, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 12. Determine o(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*s - s + 0*s)*(-s - 5 + s - 2*s) + s**2 - s + s)*(-3 + 3 + 1 + (-1 + 0 - 1)*(3 - 1 - 4) + 5 - 6 - 2 + 2 - 2 - 3 - 2 + 5 - 6).\nAnswer: -36*s**2 - 80*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23746499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 489664 divided by -8744?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 124941803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -129501444 bigger than -129501446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38211555*s**4 - 104311741*s wrt s.\nAnswer: -458538660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -203*r**2 - 47*r + 11. Let s(g) = 101*g**2 + 19*g - 5. Determine 5*s(m) + 2*t(m).\nAnswer: 99*m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*b + 44 = 0, -3*v + 2*v = 2*b - 20. Suppose -m - v = -3*m. What is the units digit of (-12)\/(-5) - m\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314597815.\nAnswer: 5, 7, 8988509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + m**2 + m. Let i be z(0). Solve 0*h + h - 2 = i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-6) + -10 + (19 - (-4)\/(-2))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 3534.\nAnswer: 194370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(1 - 12\/4). Suppose h = -12*q + 4*q + 24. Solve 4*w + 14 = 3*t, -2*t - q*t + 20 = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 421761150 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6320.9 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775784347 to the power of 1\/2, to the nearest integer?\nAnswer: 42140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3660, -7293, -10896, -14469, -18012, -21525?\n\"Answer: 15*h**2 - 3678*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 374.482143 microseconds?\nAnswer: 0.0000000006191834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 1. Let l(c) = -49*c + 2. Calculate -2*k(q) + l(q).\nAnswer: -51*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5498*g*v**3 + 3927*g*v**2 + 118*g + 135*v**3 wrt v.\nAnswer: -32988*g + 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, b: 13}. Give prob of picking 3 f and 1 b.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -o - 2*l + 7, 4*o + 4*l - 312 = 0. What is the remainder when o is divided by 72?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74.24 - 72.24. Which is the second biggest value? (a) 5 (b) k (c) 3 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l**5 + 161680*l**4\/3 - 40395992*l**3 + 83560576*l**2 - 17904128*l\/3 = 0. Calculate l.\nAnswer: 0, 2\/27, 2, 1496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21989b (base 13) to base 16\nAnswer: -c1750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 4*w - g, -4*g + 8*g - 62 = -2*w. What is the greatest common factor of 253 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 441 and 189?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/10 - (-22)\/10. Suppose 5*m + 59 = 2*v, -3*v - 4*m - 11 = -65. Calculate the greatest common divisor of v and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3872)*-1)**2 + (sqrt(3872) - (((4 + sqrt(3872) + sqrt(3872))**2 - sqrt(3872)) + -1)).\nAnswer: -11631 - 616*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h. Suppose -6*a = -h*a - 78. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u - 4*w - 26 = 0, 2 = -w. What are the prime factors of ((-9)\/u)\/((3\/348)\/1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 551 and 1434234.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 times -5977237?\nAnswer: 424383827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 5*d - 0*u, -5*d = -2*u - 8. Suppose -3*m - 2*m + 165 = d. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + 0 - -1*(sqrt(68))**2.\nAnswer: 2*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 30. Let t = -51 - -108. Suppose -y = -2*k + 3*l + 8, -2*l - t = -5*k. Calculate the remainder when 25 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**2 + x + 7. Give y(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1959002, 0, 1 in descending order.\nAnswer: 1, 0, -1959002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 35 = -5*s. Suppose -s = a - 47. Let j = 57 - a. What is the remainder when 59 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002651 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 144\/5*(-11)\/(198\/(-120)). Let m = w + -129. What is the greatest common factor of m and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 593 - 26*y**2 - 28*y**2 + 92*y**2 - 31*y**2 to the form x*y**2 + b + h*y and give b.\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 1, u: 1, r: 2}. What is prob of picking 1 r and 1 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22110 divided by -67\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4.2483 * -0.03\nAnswer: 0.127449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(78)*-2 + sqrt(78))*-4*2)\/((5*(sqrt(18) + sqrt(288)))\/(-1*sqrt(147))).\nAnswer: 336*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 0.5 (c) -2 (d) -1.2 (e) -1 (f) -6359 (g) -158\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + 369*u - 4407. Determine y(13).\nAnswer: 897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 786 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-3*h**3 + 4*h**3 + 2*h**3) - 534 + 534 + 33*h**3.\nAnswer: 39*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18625744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvm when three letters picked without replacement from {m: 5, v: 2, z: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 23*v - 74. Determine p(31).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/4 in -209, -94, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = -2*t - 5, -2*t = 6. Suppose v*h + 3*h - 22 = -2*a, 0 = 3*h. What is the least common multiple of a and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.3, 14, 3\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/3 + 88*j**3\/3 - 82*j**2\/3 - 172*j\/3 = 0. What is j?\nAnswer: -1, 0, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13887, -16253, -18619, -20985?\n\"Answer: -2366*x - 11521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 0.1. Let u = 1 - b. Which is bigger: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 142?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -118983, -237960, -356939, -475920?\n\"Answer: -k**2 - 118974*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 14*i - 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11*(-1 + 0\/(-3)). Is (-109790)\/(-30) - y - 1\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (91 - 234 - 83)*(-4 + 4 - 2)*(-2 + 2 + 4*h + (0 + 0 - 2*h)*(0 + 4 - 3) + 0*h - 5*h + 4*h) to the form q + v*h and give v.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -1 + q - q + q**2. Let j(k) = -69*k + 69*k + 2*k**2. What is u(j(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59422*q*w**2 - 2808*w**2 + 3*w wrt q.\nAnswer: -59422*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/5 - 11048*w**2\/5 = 0. What is w?\nAnswer: -5524, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6828101?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 118866059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**2*p)\/p)**(-8)\/(p\/p**(-2\/13)*p**(-12)))**(2\/13))**(9\/4) assuming p is positive.\nAnswer: p**(-603\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 41. Let f(q) = q**3 + 7*q**2 + 4*q - 2. Give f(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 - 90 = -58*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2671953 to the nearest integer?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 23*g - 27. What is a(-23)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Let t(y) = -m*y + 0*y + 0*y. Let h(r) = 2*r. Calculate h(t(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/12)\/(d\/d**10))\/(d**(3\/10)\/(d*d*d*d\/d**16*d)) assuming d is positive.\nAnswer: d**(-133\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) 1\/3 (c) -3 (d) -7 (e) -73 (f) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18130494\/95 or -190848?\nAnswer: -190848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 7622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9111?\nAnswer: 3, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 149, 219, 287?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 14. Is 468\/(-6)*1\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v + 1 = 5*m + 9*v, -2 = -3*m + v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.360947525 to two decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 4, z: 1, l: 6, i: 3}. Give prob of picking 1 g and 2 l.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 37 = -d - 51, 2*p = 2*d - 3*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/7, -17\/28, 0.2, -3, 31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 9) to base 14\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4632 + -0.1632. What is the fifth smallest value in 0.2, -84, 5, 3\/4, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**3\/6 + 7*n**2\/2 - 2*n. Let f(o) = -1. Suppose -b + 6*b = -2*c + 27, -b = 2*c - 7. What is c*z(i) + 6*f(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2925238264.\nAnswer: 2, 13, 47, 359, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 256\/40)*77*10. Find the common denominator of -4 + 92\/22 - 1418\/f and 3\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566949643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 104290 times 162.4\nAnswer: 16936696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-6))\/a**6)\/(a**1)**43)\/(((a\/(a*a**1))\/a)**(15\/7)*a**(-1)*a*a**(1\/5)*a) assuming a is positive.\nAnswer: a**(-1782\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1.0463\nAnswer: 3.1389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295, -1016, -2183, -3796, -5855, -8360, -11311?\nAnswer: -14708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16251186 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + 1*(sqrt(320) - (sqrt(320) + -1))))**2*6.\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i - 16. Does 14 divide n(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/280 - 267\/(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.4525 + -6.6159. Let b = 2.4054 + l. Let z = 0.237 - b. Round z to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1786068*s**3 + s**2 + 233129.\nAnswer: -10716408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191 + 242.5. Let w = s + -52. What is the nearest to -2\/19 in w, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7280, -22, 6, 0, 3 in descending order.\nAnswer: 6, 3, 0, -22, -7280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a. Suppose -3 = i, a = -0*p - 2*p - 2*i - 2. What is the remainder when 39 is divided by (-14 + -6)*p\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 20*k**2 - 575*k - 1750.\nAnswer: 5*(k - 14)*(k + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86*k + 70*k - 15*k)*(2*k + 2 - 2).\nAnswer: 282*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 9*k**2 + 5*k + 6. Let n be t(-6). Suppose 36 = 5*s - n. Calculate the remainder when s is divided by (6\/(-12))\/(-1*1\/26).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106393 at least -106385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5564250, -5564241, -5564232, -5564223, -5564214, -5564205?\n\"Answer: 9*g - 5564259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9\/10 + -13\/30. Suppose 2 = -c + 2*x, 38*c - 3*x + 3 = 43*c. What is the nearest to 0.4 in 5, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {r: 7, d: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1102.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -198*h**4 + 21*h**4 + 69*h**4 + (2 - 3 - 1)*(1 - 1 + h**4).\nAnswer: -110*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2483 + -1869. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 2*u**2 + 8*u**2)*(36*u - 36*u - 15*u**2) + (2*u**3 + 2 - 2)*(-3*u + 3*u - 2*u).\nAnswer: -94*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 808656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimqaqatqmtqqqmm. What is prob of picking 1 m and 1 i?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0)*(0*f - f + 0*f) + (f + 4*f - f)*(0 - 1 + 2) - 11*f + 4 - 3 + 13*f.\nAnswer: 12*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 31. Let l be 126\/154 - (-2)\/o. Is 219 + (l + -2)*-4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -261, 2, -5, -0.05, 76\/7 in increasing order.\nAnswer: -261, -5, -0.05, 2\/5, 2, 76\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k**2 + 17*k - 8. Let o be -3*(-8)\/3 - (-15)\/5. Let u(w) = 2*w**2 - 6*w + 3. Determine o*u(h) + 4*d(h).\nAnswer: -2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1389 + 914. Let h = -471 - c. Solve -5*r = -r + h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**3 + 4*s**2 - 11*s + 1. Let a be z(2). Suppose -58 = -2*h - a*h. What is m in h + 2\/9*m**2 + 4\/3*m = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b - 8. Suppose -56 = 34*v - 42*v. What is t(v)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**4 + 2*q**4 + 0*q**4 + (-2 + 2 - q)*(3*q**3 + 0*q**3 - 2*q**3) + 3*q**4 + q**4 - 3*q**4 + (2*q**4 + q**4 - 5*q**4)*(-5 + 0 + 3).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 9. Let c be h(6). Suppose -3*x - 15 = -5*s + 4, -c*s + 15 = 0. Let z be 40\/(-8) + 11\/1. Solve x*i + z = -0*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a - 9 = 0. Let v be (((-5)\/a)\/(-5))\/(-1). Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162*6\/270*25\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 13 - 4742*h + 9 + 4737*h. Determine a(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 949, 2247, 4051, 6331?\nAnswer: 9057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 586, 1297, 2008?\n\"Answer: 711*y - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-99)\/(-27) + (-1)\/(-3). Suppose -14 = -5*a - 3*h, -10 = -a + 3*h - 0*h. Solve 5*o - 11 - 9 = -z*m, 2*m + a = o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 - v. Suppose 0 = 2*r + 8, -5*r = -0*z - 3*z + 29. Let b be (22\/(-33))\/((-2)\/z). Let a be b\/3 - (-3 + (-14)\/(-6)). Determine x(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0 - 30 = 0. Let z(a) = a**3 + 5*a**2 - 7*a + 6. Let y be z(i). Suppose -4*r = 5*h - h + y, h = r + 3. Let j(m) = m. Give j(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11 - -8) + (1 - 34). Let o be (-8)\/36 - 116\/q. What is the third derivative of 0*h**3 + 2*h**3 + 3*h**3 - 2*h**o - 2*h**2 wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8041 is divided by 654?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/378*12)\/(140\/510)?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7653, -41, 5 in ascending order.\nAnswer: -7653, -41, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/5)\/(-4)*50855\/4359?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1553981 or 0?\nAnswer: -2\/1553981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - -905.\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-4*m + 6*m - m) + 5*m - 2*m + 0*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**2 + 18*i**2 + 4*i**4 - 26*i**4 wrt i?\nAnswer: -528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 58*f**3 - 5*f**2 + 4*f - 1. Let b be a(1). What is the first derivative of -116*p**3 - b - 30 - 120 wrt p?\nAnswer: -348*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 88, 130, 154, 154, 124, 58, -50?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*-125321\nAnswer: -125321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/15*15\/2. Let q = p - -15. Solve 4*f - q*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 341 or 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17557041 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 184133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 134\/3? (a) -0.4 (b) 0.4 (c) -14 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1250.\nAnswer: -5000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -380 - -668. Suppose 5*n - q - 282 = 3*q, -5*n + q = -w. Calculate the remainder when n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*81272\/29670 - -2. Let y = d - -17\/345. Let c = 1\/43 + y. Is -1 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74 or 1734\/23?\nAnswer: 1734\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28537281 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let r = -0.903 - 1.097. Which is the closest to -1? (a) j (b) r (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13042671 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 8*p**2 + 20*p - 43. Calculate j(-5).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -121 in -0.5, 1, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 + 0.18. Sort -5, f, 5 in increasing order.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -169.2297 + -0.1703. Let t = l - -186. Let w = -16 + t. What is the smallest value in w, 2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 71.67145s?\nAnswer: 71671450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220 and 372460.\nAnswer: 372460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 bigger than -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74.9? (a) 3 (b) -0.4 (c) -2 (d) 110 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000809968 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4189 = 20*i - 4389 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 5*o**2 + 3. Let f be q(-5). Let a(k) be the second derivative of 0*k**f + 0*k**4 - 1\/10*k**5 - 1\/2*k**2 - k + 0. Differentiate a(y) wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277905\/11 or 25264?\nAnswer: 25264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/52)\/(9\/(-12)). Is 1 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4029243 to the power of 1\/2, to the nearest integer?\nAnswer: 2007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -10 (c) 4\/7 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2013500 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11929623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7133241943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 6*x - 7. What is the remainder when f(-5) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 0*p**3 + 0*p**2 + 1 + 4*p**2. Let n be o(-4). Let m be (2\/6)\/(-2 + n). Do m and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*w + 888 = 74*w. Suppose 4*l = -4*d + w, -2*l + d - 6*d = -89. Calculate the lowest common multiple of l and 12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 + 3*c**3 - 4*c**3)*(-819623 + 819623 - 71*c).\nAnswer: -142*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/175 and -69\/2.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -17. Let g = -6 + j. Calculate the smallest common multiple of g and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39, 36, 29, 18, 3, -16, -39?\n\"Answer: -2*r**2 + 3*r + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93677 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-288)*8)\/((-4)\/6). Which is the third smallest value? (a) -0.2 (b) u (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-18) - (-3)\/2. Let d(y) = -y**2 + 2*y - 3. Let h be d(p). Sort -1, -2, h.\nAnswer: h, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 64 = 37, 3*f - 3*c - 15 = -6*c. Suppose 2 = 3*p - 7. Suppose p*u = 5*u - 56. What is the least common multiple of u and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.146 - 1186468737545?\nAnswer: -1186468737545.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 20*j**2 - 29*j + 96. Let c be f(-18). What is the tens digit of (-948)\/(-16) - c\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + ((sqrt(288)*-1 + sqrt(288))*2 - ((sqrt(288) + -3)*-4 + sqrt(288)))**2.\nAnswer: -864*sqrt(2) + 2742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 29*a + 0*a**3 - 2*a**2 + 1 - a**3 + 2 - 26*a. Calculate q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, 3\/5, -6\/5, 3, 0.4, -16 in ascending order.\nAnswer: -16, -6\/5, -2\/25, 0.4, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25934*u - 23271 wrt u?\nAnswer: 25934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/50)\/((-2)\/110). Let p(m) = m**3 - 11*m**2 + 6. Let s be p(j). Let c(i) = 2 + 5*i + 2*i - s*i. Determine c(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 1) + ((-8 + 22 - 0) + -31 - 48)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -194, -188, -182?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61724 and 312.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 58*i + 5 + 8*i - 3 + 961283*i**2 - 961295*i**2.\nAnswer: -12*i**2 - 48*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 2:02 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w**2 + 390530352*w + 746239448.\nAnswer: 2*w + 390530352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2462?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 20*t**2 - 20*t - 20. Let c be d(21). Calculate the highest common divisor of c and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (773\/(-9276))\/((-3)\/180).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoouvooooooooovvv. Give prob of sequence uoao.\nAnswer: 11\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/28*(-112)\/32. Let v be 60\/(0 - z)*-5. What is the highest common factor of 450 and v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*g + 55, 2*g = -4*k + 3*k + 20. Suppose 164 = -k*c + 194. Put -3, -13, c in decreasing order.\nAnswer: c, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 5) in base 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**4\/4 + 2*y**3 - y**2\/2 + 3*y + 8. List the prime factors of t(-5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368 = 364*d - 272*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2444515?\nAnswer: 5, 17, 28759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 7*i + 10. Let a be d(-8). Let m = -0.35 + -0.65. What is the nearest to m in a, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17c30d (base 14) to base 2\nAnswer: -11001101001001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 5*l**2 - 21*l - 57. Calculate f(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9255 = 3*k, 3*k + 7*j + 3978 = 13253. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 0. What is the smallest value in -0.1, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w. Let h(i) be the first derivative of i**3\/3 + 5. Calculate y(h(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -118 + 112 - -17*4\/10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 0, 2, 0.5, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -9, 2, 23, 60, 119, 206?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**6\/120 - 7*v**5\/60 - 7*v**4\/24 - 4*v**3\/3 + 6*v**2. Let r be z(-6). Sort 3, -3\/5, r.\nAnswer: r, -3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 4*l**3 + 0*l**3)*(-2 + 2 - 2) + l**2 - l**2 + 2*l**3 + (-3*l + 3*l + 4*l)*(567*l**2 - 207*l**2 - 27*l**2 + 477*l**2).\nAnswer: 3246*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -1)*(-3)\/(-6)*6. Let n(a) = -1 - 5 - 4*a + a**2 + 5. Give n(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c - 13 - 7 - 43*c**2 + 19.\nAnswer: -43*c**2 + 13*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + -3 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10149?\nAnswer: 3, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 4*i + 8. Let l be o(6). Let j = l - -25. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -154050026, -308100049, -462150072, -616200095?\n\"Answer: -154050023*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)\/j**12)**(-27))**(-39) assuming j is positive.\nAnswer: j**(-20007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 950)*(26 + (-117242)\/4495). Which is smaller: p or -78?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-81 - -42 - -41)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197c85 (base 13) in base 12?\nAnswer: 271916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1782)\/176 + 10)*0 + 84\/(-10) + -2\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/37 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - n**2 + 4*n**2)*(-100*n**2 + 69*n**2 + 45*n**2 + 14).\nAnswer: 28*n**4 + 28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 4. Let u = 57 - 63. Calculate j(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-174)\/(-4) + (-22)\/44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.803932 and -31078?\nAnswer: 31077.196068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, w: 3}. What is prob of picking 2 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2675*o**3*y**2 - 6*o**2 - 105*o*y**2 wrt o?\nAnswer: -16050*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*k + 0*k - 68 = 0, -4*a - 4*k + 68 = 0. Calculate the remainder when 67 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 713384, 13\/5, -1?\nAnswer: 713384","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -30. Suppose -q + l*q + 11 = -t, t + 25 = -4*q. Is q > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(228\/(-36) + 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-18\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide -1*(-8609 + -2) + 18*13\/234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4334)\/(-10835))\/(268\/(-10))?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, c: 1, g: 5, a: 1}. What is prob of picking 1 a, 1 d, and 1 c?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(-2*sqrt(5)*-1))\/((sqrt(300) + -1*sqrt(300) + sqrt(300))*-6).\nAnswer: -sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2. Let z(s) = -3*s**2. Let f(c) = 5*j(c) + 2*z(c). Let r(a) be the first derivative of a**3\/3 - 40. What is f(r(x))?\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 2)*(2*q**2 - q**3 - 2*q**2) - 4*q**3 - 30*q**3 + 21*q**3 + q**3 + 2*q**2 - 2*q**2 in the form n*q**2 + g + a*q**3 + i*q and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-18))\/(42 + 1210\/(-30))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111951\/47 or -2383?\nAnswer: -2383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3090, -3033, -2976, -2919?\nAnswer: -2862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -243779 - -129736. Let t = p + 111192101\/975. Let o = t + -2\/75. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846294 is divided by 846284.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 2349 = -10*l. Let m be (0 - 3) + 135\/l. Sort 3\/7, 1\/2, m, 14.\nAnswer: m, 3\/7, 1\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30801273 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -298154, -2\/41, -0.4?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6 - 18 = 0. What is the remainder when (46\/a)\/(6\/54) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 + 55*u - 66*u - 6*u**2 - 11. Let s(q) = -q**2 - 5*q - 5. Give -3*d(g) + 7*s(g).\nAnswer: -4*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:40 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 24*i - 27. Is k(18) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 20*y**5 - 15*y**4 - 65*y**3 + 5*y**2 + 45*y + 10 = 0.\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37811717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*z + 198. Suppose 5*p + z = 2*p. Let u = p + 43. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 362781580 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/5896 and -49\/192.\nAnswer: 141504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/20442400 and -91\/552?\nAnswer: 61327200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -26*r - 1. Let w be d(1). Let a be 38\/6 - 18\/w. Let b(n) = n**3 - 8*n**2 + 7*n. What is b(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/8, 1\/4, 8\/179, -1, 660?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let t(h) = -10*h. Let g(v) = -v. Suppose 11 = -3*l - 3*x - 1, l = 3*x - 20. Let i(q) = l*g(q) + t(q). Calculate i(d(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 - 5 = 0. Let j(o) = -5*o. Let c(u) = -6*u - 1. Let m(l) = -3*c(l) + 4*j(l). Let d be m(w). Is d greater than or equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 112 = -6*a. Do a and 16 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40 + -10873?\nAnswer: -10833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/13 - 458*u**2\/13 - 26448*u\/13 - 25992\/13.\nAnswer: -2*(u + 1)*(u + 114)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -25, -51 in descending order.\nAnswer: -2, -25, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4131319005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21038862 divided by 4?\nAnswer: 10519431\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/5 - 6132*k**2 - 30659*k\/5.\nAnswer: -k*(k + 1)*(k + 30659)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 253 + -247. What is the remainder when 87 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83063170741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 m when four letters picked without replacement from fnmnfeamfnnnnn.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712594.\nAnswer: 2, 283, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 22. Let s(k) = -k + 45. Let r(c) = 13*p(c) + 6*s(c). Let t be r(12). Suppose -d - t = -5*d. What is the remainder when 31 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -275984 divided by 34498\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -16, -0.5, -4, -186, -3, 0.4, -23\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9139, -9141, -9143, -9145, -9147?\n\"Answer: -2*q - 9137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -138?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*(-15)\/(-35))\/((-3)\/21). Suppose -t + 6*t - 223 = -n*o, 2*o + 8 = 0. What is the highest common divisor of t and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 7. Let d = 9 + s. Let r = 295 + -298. Sort d, -1, r.\nAnswer: r, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -458, -684?\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -24. Let u be -15*(-2)\/r*-2. Let t = u + 2. Solve -3*o - 6 = 3*j, -o - 2*j - t = -7*j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320557872 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 81*w**3 - 7*w**2 + 11*w + 286402.\nAnswer: 243*w**2 - 14*w + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28600*c + c**2 + 59*c**3 + 28600*c)*(-4 + 3*c + 4) to q + a*c + f*c**2 + r*c**4 + n*c**3 and give r.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -2. Suppose -12 + 4 = -4*b + 5*h, -3*b + 3*h + g = 0. Differentiate b*k**4 - 3*k**4 + 2 + 0 with respect to k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(-141 + 47 - 58)*(4*z + 3 - 5*z - z) as f + m*z and give f.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)*((h\/(h*h\/(h\/(h**20\/h))))\/h)\/h)\/((h*h**(-4\/5))\/(h**19*h)) assuming h is positive.\nAnswer: h**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3222.691 - 100\nAnswer: -3322.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 12, -2 in increasing order.\nAnswer: -5, -2, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018 times 1?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = 58*f + 1672. Let m be (3\/(165\/f))\/(6\/(-15)). Solve m*o**3 + 0 + 2\/5*o**2 + 0*o = 0 for o.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x + 7 + 6 - 12*x. Let b be r(5). Sort b, 5, 2, 3 in descending order.\nAnswer: 5, 3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*6*14\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(171)*-4)\/(sqrt(108)\/(sqrt(48)\/(-2*sqrt(4))))*3.\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -9. Suppose -2*x + 8 = 0, s*j - 28 = 5*j - 2*x. Suppose -j*q = -112 - 24. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 2. Let y(j) = j. Let v(l) = -o(l) - 2*y(l). Let s be v(4). What is the third derivative of -4*w**2 + 73 - w**s + 3*w**5 - 73 wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -2)\/(-2 + 1). Suppose -4*q - 1 - 3 = a. Let b(n) = 2*n**2 - n - 2. Let d = -7 - -5. Let j(m) = -m**3 - m**2 + m + 1. Calculate d*j(v) + q*b(v).\nAnswer: 2*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 10:37 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16490926 - -76670104. Let w = i + -93161038.1000093. Let g = 8.1 + w. Round g to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/8014536 and -55\/5024.\nAnswer: 32058144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - t - 1. Let s be u(2). Let o be (1\/(-2))\/(s\/2). What is the third smallest value in o, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 5:05 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*h**3 - 147*h**3 + 37*h**3)*(0*h + 0*h + 3*h).\nAnswer: -243*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46075 - 30846. What is the highest common factor of a and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6241132 divided by 1560283?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3 - 3*k**2*t*y - 204*k*y**3 + 38*t*y**3 - 4*t*y - t - 1 wrt k.\nAnswer: 3*k**2 - 6*k*t*y - 204*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhhw when four letters picked without replacement from {w: 7, x: 4, h: 4}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -473655 > -473656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40960.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 323241266 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a gram in milligrams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 194 (b) -1\/2 (c) 102\/13 (d) -0.4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 33.08\nAnswer: -16.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 557, 2, -4264 in increasing order.\nAnswer: -4264, 0, 2, 3, 557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291961?\nAnswer: 3, 7, 109141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -9\/2*j**3 + 1\/2*j**4 + 27\/2*j**2 - 31\/2*j + 6 = 0. Calculate j.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(20\/(-8)*(-120)\/(-100))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -38*a - 125. Does 7 divide o(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 709\/2 - 1\/(-2). Let v = -15874 - -16110. Suppose 3*a - c = v. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 10 - 19 + 0*f)*(-503*f**3 + 46*f**2 - 46*f**2 + 51*f**3) to the form m + s*f**2 + w*f + n*f**3 + j*f**4 and give n.\nAnswer: 4068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125*962\/(-38220) + (1\/1 - 4) and -105\/26.\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -28*i**2 + 21*i. Let x(s) = 145*s + 14. Let u(m) = 124*m + 12. Let r(b) = -7*u(b) + 6*x(b). Calculate r(c(z)).\nAnswer: -56*z**2 + 42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9856, -9883, -9932, -10003, -10096, -10211?\nAnswer: -10348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31\/4, 4, 1\/2, 5, -0.16, 45 in decreasing order.\nAnswer: 45, 31\/4, 5, 4, 1\/2, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((((r*r*r**(-13\/2)*r)\/r)\/r)\/r))\/r**(-12))\/(r*r\/r**2*r*r**4\/r) assuming r is positive.\nAnswer: r**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 805 and 75976130?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142 divided by 4119?\nAnswer: -1142\/4119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(117) + -2)**2*1.\nAnswer: -18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 51, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 123\/205 - 1\/(-30)*-13. Put -3\/28, -2, -1, c in increasing order.\nAnswer: -2, -1, -3\/28, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.0205.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2389.\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/33 + 2 + (-72)\/33. Let s be 4\/(-4) + 17 + -2 + l. Solve y = 2*h - 12, -2*y - s = -h - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13879.03668 to the nearest ten.\nAnswer: 13880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 19. What is the highest common divisor of h and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*k**5 + 11*k**5 - 4*k**5 - 12*k**5 + k**3 - 8*k**2 wrt k?\nAnswer: -840*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - -9. Let n be 39\/(-33) + 4\/m. Let c be 2\/(-1 - (n + -2)). What is the second smallest value in c, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*o - 2954 - 3680 = -172 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*w + 4*b, -w - 3*b + 8 = -4. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6232, -24925, -56080, -99697, -155776, -224317, -305320?\nAnswer: -398785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - 9 - 24 - (0 + 27).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 492439814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 + 47 + 765*g + 54.\nAnswer: 765*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20, -24, -28, -32?\n\"Answer: -4*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f - 6*f**4 + 0*f + (0*f**3 - f**3 + 0*f**3)*(3*f - 3*f - 2*f) + 8*f**4 + 0*f**4 - 3*f**4 as x*f**4 + a*f + o*f**3 + i*f**2 + l and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - 3 + 3)*(-3 - 2 + 4)*(2 - 5 - 17) - 2 + 2*z + 2 + (-3 + 1 + 0)*(3*z - 3*z + z) - 2*z + 1 - 1 + 3 - z - 3 + 4 - 6 - 2*z - 2*z as b + d*z and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - x**5 + 0*x + (-x + 0*x - x)*(-2 + 2 + x**4) + (58 - 9*x**4 - 58)*(5 - 4 + 1)*(-2*x + 3*x - 4*x).\nAnswer: 51*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2. Let a(x) = -20 + 20 - 27*x. Give i(a(l)).\nAnswer: 1458*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -13. Suppose -5*u = -3*k - 32, -4*u - 13 + 49 = -t*k. Let d be (-32)\/12*u\/(-48). What is the closest to 1 in -1\/4, d, -4\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461145 divided by 213.\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294469.\nAnswer: 7, 23, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**8\/50400 - g**7\/9450 + g**6\/5400 - 2*g**5\/15 - 11*g**2. Let r(a) be the third derivative of q(a). Factor r(u).\nAnswer: 2*(u - 1)*(3*u - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/2)\/s)**(-31)*(s*s**(-2\/11))**29 assuming s is positive.\nAnswer: s**(181\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. Suppose -4*q + 4 = -2*q. What is the third biggest value in 0.4, q, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8265 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*t + 90 = -81*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1892*b**5 - 4*b**3 - 3*b**2 - 36437*b wrt b?\nAnswer: -37840*b**3 - 24*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (230*f**2 - 115*f**2 - 3*f**3 - 113*f**2 - 21)*(1 - 4 + 5) as d*f**3 + m + z*f**2 + t*f and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17987 at least as big as 125913\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 1, -15, -51, -113, -207, -339?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 18 = -74 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + -4)\/((-1)\/(-5)). Does 27 divide (0 + 3)\/(o\/45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -g + 14, -536*g - 5*w = -532*g - 55. Solve -5*n + 2*q - 30 = 6*q, 3*q + g = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1185\/4 - -637\/2. What is the common denominator of 71\/16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (551\/(-870) + (-3)\/(-10))*27\/(-3). Let z = -2.5 - -3. Put z, t, -68 in increasing order.\nAnswer: -68, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -816 + 1805. Calculate the remainder when v is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.3\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 83 - 46. Let w = i - 9. Let b be (1\/(-2))\/(w\/8). Sort -0.4, b, -2\/3 in increasing order.\nAnswer: -2\/3, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-40)\/(-65))*(-99036)\/10218.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8341\/20 - -421. Find the common denominator of 42\/(-4)*(-4752)\/(-2016) and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 - 8. Let n(a) = 5*a**2 + a - 8. Let i(h) = -6*l(h) + 5*n(h). Let g be i(-4). Suppose 0 = g*y - 663 - 2101. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**6\/30 - q**3\/3 - 26*q**2. Let f(w) = -3*w**3 + 2. Determine 5*f(i) + 4*u(i).\nAnswer: i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/4 + ((-13)\/4)\/13\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8*p - 9*p + 20 = 0, 5*p - 12 = -2*r. Let l(v) = -v - 3. Let b be l(r). Find n, given that 1\/2*n**2 + 1\/2*n**4 + 3\/2*n - b - 3\/2*n**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.7565068 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 - 75. Suppose -n*w - 25 + 67 = 0. Solve -b + 1 = -w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*l + 93 = 13, 117 = 3*m + 5*l. Let o be (-8)\/12 + m\/6. Differentiate -182*r - 12*r**4 + o - 4*r**4 + 182*r with respect to r.\nAnswer: -64*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14691094 by -78562.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504473 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 212900837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503382043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 26 = -8. Let f(x) be the first derivative of 0*x + 3 + 2\/21*x**n + 1\/7*x**2. Solve f(w) = 0 for w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58541 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 118.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*x - 4, -3*m + 18 = 4*x - 0*x. Let b = 229 - 229. Suppose -4*z + 4*s + b*s = 8, 5*s - 10 = -3*z. Sort -4, x, z.\nAnswer: -4, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16706.\nAnswer: 2, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1551 + -1550.9940773. Round c to 5 dps.\nAnswer: 0.00592","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q. Let j(r) = 2*r + 1429. What is j(z(s))?\nAnswer: 8*s + 1429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34\/321 - -15821\/140277. Sort 2, 5, -5, a in ascending order.\nAnswer: -5, a, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.21 + -0.21. Let f = -8.1 + w. Let a be 235\/(-188) - (-14)\/(-8). What is the nearest to -3 in a, f, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10*r. Let v(a) be the second derivative of -5*a**3\/2 - 574*a. Calculate v(q(g)).\nAnswer: -150*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 251354 (base 7) to base 5\nAnswer: 2434043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 19 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 74. Suppose -2*n + 159 = -135. What is the highest common factor of n and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -147 - 2*t + 151 - t + (-5 + 2 + 2)*(t + 0*t - 2*t) in the form o + p*t and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*c + 192 = 176*c - 77*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*k + 10*s - 22 = 185*k, k = 4*s - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242422 - 4*t**2 + 686*t + 242419 - 484842.\nAnswer: -4*t**2 + 686*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {u: 2, k: 1, q: 2, x: 1, g: 1, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/808 and 53\/40.\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -288 (base 13) to base 14.\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v**3 - 5 - 415*v**2 - v - 417*v**2 + 833*v**2 to x + h*v**2 + w*v + t*v**3 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/135 + -829\/135. Calculate the common denominator of t and 29\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 28*m**2 - 130*m - 28. Let q be n(6). Let l(a) = -3*a**2 - 48*a - 3. Calculate l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.12. Let n = t + -0.1200288. What is n rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32129 - 30869. What is the highest common factor of 135 and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1898412 to the nearest integer?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081235049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 3:58 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 + 1b?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, w: 3, y: 1}. Give prob of sequence jjw.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-96)\/(-9))\/(-4))\/(((-760)\/(-3040))\/(30\/(-4)))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b**3 - b**3 - 5*b**3)*(2*b - 4*b + 0*b + (1 + 1 - 1)*(-4 + 4 - b) - 1 - 4*b + 1).\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 0 + 8 + 6 - 15. Let d(n) = 3*n**3 + 2*n**2 - n. Let v be d(1). Let c(r) = 6 + 5*r + 2 - v*r - 3*r. Calculate -c(s) - 6*i(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s. Suppose 4*j = 12, -j = 3*r - 3*j - 30. Suppose -7*g + 3*g = -r. Let h(x) = -x + x - g*x. Calculate i(h(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(2\/37)))\/t**(-1\/26) assuming t is positive.\nAnswer: t**(89\/962)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**(4\/27)\/(o*o*o*(o\/(o*o**(1\/2)\/o))\/o*o)**(-5) assuming o is positive.\nAnswer: o**(2827\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)*a*a*a**(-1\/4))\/(((a*a\/(a*a**4*a)*a*a*a)\/a)\/(a*a**(2\/11))))\/((a**(1\/7)\/a**5)\/(a**0\/a*a**(-1\/4))) assuming a is positive.\nAnswer: a**(545\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 29 = 5*t, 5*g = -0*g + 4*t - 40 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8\/9))**(-17) assuming k is positive.\nAnswer: k**(136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 794772 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-16) + (-10)\/(-4). Suppose s + 2*s - 3*n - 9 = 0, -v*s + 5*n = -11. Suppose -j + s*j = 53. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 + 3 = 0. Suppose 5*s + 30 = 5, 5*b = -s + 10. Does 13 divide (-1)\/b - (-120)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1126, 1, 1437.\nAnswer: 1, 1126, 1437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 14*z**3 - 82*z**2 + 25*z - 4. Let h(y) = 5*y**3 - 29*y**2 + 9*y - 1. Let j(q) = 11*h(q) - 4*p(q). Let o be 4\/(-14) + 130\/14. What is j(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 - 71.9. Let y = 9.1 - s. Let x = y - -35. What is the closest to x in 0, 3\/4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(2 - 3) + 31. Let l = 28 + h. What is the units digit of l - (-5 - 27\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 3. Let w(m) = -m. Give w(x(u)).\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (20 - 19 - 0)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -866960 divided by -5.\nAnswer: 173392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {f: 4, e: 1, o: 2, b: 3, s: 6}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3868, 7716, 11564, 15412, 19260?\n\"Answer: 3848*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10057, 20111, 30167, 40225, 50285?\n\"Answer: v**2 + 10051*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.02 - -2.03. Let o = -0.63 + g. Let n = 0.38 - o. Which is the second biggest value? (a) n (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 0 - 2\/3*z**3 - z**2 + 6*z + 1\/15*z**6 + 1\/5*z**5 + 0*z**4. Factor p(b).\nAnswer: 2*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 6:15 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 + 0*t - 32751 + t - 4*t + 32747. Let m = -2 - -7. Let o(y) = 9 - 6*y + 7*y - 6*y**2 + 6*y - m*y**2. Calculate 7*n(u) + 3*o(u).\nAnswer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59, 11, -39, -91, -145, -201?\n\"Answer: -i**2 - 45*i + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 f when three letters picked without replacement from {g: 9, f: 2}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjfjkf. Give prob of sequence kttt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/6*(-129)\/430?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(99) - -1*sqrt(99)*-2) + 0)*-1 - ((sqrt(99)*3 + sqrt(99))*3 - (sqrt(99) + sqrt(99) + 1 + 1)))**2.\nAnswer: -108*sqrt(11) + 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 - 0.8. What is the second biggest value in 1, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 0*g + 0*g**2 + 2\/21*g**3 + 6\/35*g**5 - 1 + 2\/7*g**4. Factor w(j).\nAnswer: 2*j**2*(j + 1)*(3*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 28 = -4*i - q, 4*i = 5*q + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 times -0.38519?\nAnswer: -0.1001494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32638 divided by -60.\nAnswer: -16319\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eztekbjtbbjeek. Give prob of picking 2 b, 1 k, and 1 z.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499770 is divided by 587?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*c + 571, 5*y - 4*y - c = -567. Let q = -249 - y. List the prime factors of q.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -233070, -466133, -699186, -932229, -1165262, -1398285, -1631298?\n\"Answer: 5*y**2 - 233078*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 11*w - 15. Let u be x(-10). Sort 3, 6, u in descending order.\nAnswer: 6, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336604*d = -336623*d - 760 for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, s: 4, l: 2, u: 2, d: 6}. Give prob of picking 1 m and 2 s.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6309 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*r = 155, -6*o - 305 = -2*o - r. Let s = 116 + o. What is the common denominator of 10\/(-6) + 430\/s and 53\/27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/9)\/5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 0.1 (c) 0.388\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 42. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 927\/(-412)*3\/162*3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-10) - (-4)\/(-20). Suppose -4*w + o*w - 124 = 0. Let h = -8 - w. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 13*v + 1026. Is 46 a factor of h(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t - t)*(0 + 3 + 0 + 3*t).\nAnswer: -9*t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1149 and 28978962?\nAnswer: 11098942446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6452, -155, 1 in increasing order.\nAnswer: -6452, -155, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*d**3 + 9861*d**2 + 235711*d.\nAnswer: 186*d + 19722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -1.8. Let k = -10 + 5. Which is the closest to -0.1? (a) 4 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -864 by -10100.\nAnswer: 216\/2525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 9*n - 273886*n**2 + 273890*n**2 - 1 - 12*n**3 in the form o*n**2 + f + l*n + t*n**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/(-8) + (-2 - -47). What is the highest common factor of 2440 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1655*y - 256*z + 3328 = -1658*y, z - 26 = 2*y - z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/8 - 1450\/(-200).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhfhhhhhhffhhhhhff. Give prob of picking 4 f.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9*(-20)\/(-75)*295.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -0.03 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -3*m - 8 + 7, 0 = 3*q + 5*m - 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/10)\/((-7)\/35). Let m be (s - 2) + (9 - 4). Suppose 196 = m*p - 0*p. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 2\/3, 0, 6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 98432459.\nAnswer: 393729836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 167.306 and -4.2.\nAnswer: -702.6852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -5*x + 28, -129*k - 2*x = -134*k - 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 5*c - 40. Suppose -101*r - 13 + 904 = -2*r. What is z(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 715513 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255335996?\nAnswer: 2, 61, 1046459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -7224.\nAnswer: -7224.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 17*p - 42. Let b = -131 + 117. Let t be z(b). Solve -a + 3 = 0, -4*a + 27 = -t*q - 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -6, 3022818, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - t**2 - 19*t - 5. Let h be ((-80)\/(-15) - 4\/(-6)) + -1. Let f(u) = u**3 + 4*u**2 + 28*u + 7. Let d(b) = h*f(b) + 7*k(b). Factor d(v).\nAnswer: -v*(v - 7)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 2051?\nAnswer: 6153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -288 + 443 - 42*k**2 - 235 in the form r*k**2 + d + j*k and give r.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 33*v + 94. Let o be p(30). Let l(k) be the first derivative of 1\/10*k**o + 0*k + 4\/15*k**3 - 2 + 1\/5*k**2. Factor l(u).\nAnswer: 2*u*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 363 + -291. Let a be (y - 72)\/(8\/2). Factor -2\/3*f + 1\/3*f**3 - 1\/3*f**2 + a.\nAnswer: f*(f - 2)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 45, 66, 87?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m + 465 = 45 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*o = 2*o - 4, o = -4*t + 10. Let b(r) = 8*r**2 - 7*r + 5. Let l be b(1). Let a = l - t. What is the greatest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 + 10*o**2 - 12*o - 5. Let g(f) = 8*f**3 + 30*f**2 - 35*f - 14. Let h(j) = -11*b(j) + 4*g(j). What are the prime factors of h(6)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (123\/135 - 1)\/(6\/15). Let z = 257.3 - 257. Which is the biggest value? (a) -0.2 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2. Let m be ((-11)\/(-3))\/((-5)\/15). Let t = 7 + m. Let h(p) = -3*p**3 - 4*p**2 - 2*p. What is t*b(f) + h(f)?\nAnswer: -3*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 - (-39 - -44 - -23).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1828\/6398)\/(4 + (-136)\/(-28)).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 30 = -10. Let z = -4 - 32. Let x = z - -36.2. Which is the third biggest value? (a) -2 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6006*m**4 - 4*m**3 + 2*m**2 - 2*m - 1821475?\nAnswer: 24024*m**3 - 12*m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l - 69*l + 20*l + 10*l + 15*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-25)*(-2)\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9*a - 280 = 0. Suppose -71*v = -a*v + 5. Let c(i) = i**2 + 6*i + 3. Determine c(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -40, 422 in decreasing order.\nAnswer: 422, 1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.27 - 0.57. Let m = 0.5 + 0.1. Let x = m + k. What is the smallest value in -0.5, x, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 16*p**2 - 30*p + 108. Is z(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 6*t - 12. Let s be z(-10). Let f be 16\/(-10)*7\/s. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 4, -917850 in decreasing order.\nAnswer: 4, -61, -917850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -48*a**5 - 212*a**4 - 252*a**3 - 88*a**2 = 0?\nAnswer: -11\/4, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from yriiarla?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((7*1)\/((-288)\/(-32)))\/((-1)\/1)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110\/161627 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 3, u: 1, r: 2, y: 7, q: 3}. Give prob of picking 3 v.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 = 2*h - 819. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*122.2.\nAnswer: -7332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8163, -16059, -23917, -31719, -39447?\nAnswer: -47083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (72\/15)\/((-1)\/5). Let v = -20 - r. Suppose -v*o = -2591 - 4037. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/18*3 - 22\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*v - 325, 0 = 3*z - 4*v - 172 - 58. Let m be 21*2\/(-3)*-3. Suppose 0 = 24*t - 27*t + m. What is the highest common factor of z and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -5*a**7\/14 + a**6\/10 + 28*a**3\/3 + 11*a. Find the second derivative of p(s) wrt s.\nAnswer: -300*s**3 + 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(5\/((-320)\/(-24))*12\/6).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 22. Let b(y) = 7*y - 2. Let j be b(-1). Let h be k(j). What is the second derivative of m - 3*m**5 + m - h*m - 3*m wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + a + 1709 = 0, 0 = -2*a - 7 + 3. Let v = t - -569. Solve v = -4*h + 14*h + 30 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18196*u**3 + 24436*u**2.\nAnswer: -109176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**4\/4 - 2*i + 418. Let l(x) = 5*x + 6. Let d(u) = u - 1. Let c(j) = 6*d(j) + l(j). Give c(b(k)).\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 + 755 - 12*k**2 - 4*k**3 + 8*k**2 - 4*k - 754 + 5*k**2 to a + t*k + u*k**3 + f*k**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from peppwoppopposepppspp. Give prob of sequence eswo.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**4\/4 - 2*c**3\/3 - c**2 + c + 88. Let t(y) = -y + 10. Let s be t(6). Is a(s) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2328\/5 + -466. What is the nearest to l in 0, 0.31, 2\/7, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v - 0*v. Suppose v = -2*m - 5*m + 805. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2386 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -30*z**2 + 4498*z - 19. Is h(72) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j**4\/3 + 14*j**3 - 80*j**2\/3 + 22*j - 20\/3 = 0.\nAnswer: 1, 5\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119036*k**5 - 18785*k - 11 wrt k?\nAnswer: 2380720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1224403 (base 5) to base 3\nAnswer: -1012112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15982\/3 + -5327. Which is the nearest to -2\/5? (a) 10 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wcicwwwccaciicwcw?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 less than 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -31*u + 500. Let t be i(15). Solve 3*z = -t + 50 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1927 - 1924. What is the biggest value in t, 4, 4.5, 0?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26392, 27134, 28360, 30064, 32240, 34882?\n\"Answer: -v**3 + 248*v**2 + 5*v + 26140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzozaorarojzoi. What is prob of picking 2 z?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**1\/c))\/(c\/(c**(-13)*c)*c) assuming c is positive.\nAnswer: c**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 378*g = 380*g - 12290410, 5*g = -3*c - 9217775. What is c rounded to the nearest ten thousand?\nAnswer: -3070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -12*k**7\/7 - 20*k**6\/3 + 81*k**3 + 420. Find the third derivative of z(d) wrt d.\nAnswer: -1440*d**3 - 2400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 609 and 70731?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + (-1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 403 - 411 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 4*r + 7. What are the prime factors of f(7)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 3*y - 2*y - y - 5*y + 4*y + (-2*y - 2*y + 7*y)*(-1 + 5 - 3) as c + d*y and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7611621 divided by 3?\nAnswer: -2537207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(0 + 2))\/(140\/(-55300)). Let m = a + 403. What is the smallest common multiple of m and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -290 + 322. Suppose 7*w - r*w = -20725. What are the prime factors of w?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/129 and 127\/37326.\nAnswer: 1605018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -733*g - 56439. Let j be q(-77). Solve -8\/3*o + 1\/3*o**4 - 4\/3*o**j + 0 + 2\/3*o**3 = 0 for o.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0*p + 0*p + (-p + 6*p - 4*p)*(0*p - p - p) - p**2 + 3 - 3 - 3*p**2 + 5*p**2 - p**2 + (0*p + 0*p + p)*(-1 - p + 2*p - 7*p))*(-2 + 2 + 4*p).\nAnswer: -28*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -212655195570 - 0.0357\nAnswer: -212655195570.0357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmhmlidid. What is prob of sequence lmim?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-600)\/(-45)*2\/8*804\/134.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 14 - (34 + -13 + -19). Let j(z) = 3*z - 1. Let y be j(-1). Which is the nearest to 0? (a) s (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77890703 bigger than -77890704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 + -1010100001?\nAnswer: -1010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 13.48. Let g = u - -0.5. Let t = 0.18 + g. What is t rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*r + 130 = 0, -3*o + 0*o - 2*r = -101. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-93)\/(-12) - ((-233)\/(-1165) + 93\/60).\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 12842*i**2 + 20*i + 8. Let p be a(4). Is (0 - 1) + (-7)\/((-70)\/p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (136\/6)\/(126\/3024) is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.4, -1, -148, 86, 0, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60157, 240642, 541451, 962584, 1504041, 2165822?\n\"Answer: 60162*t**2 - t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/2 - -102*558. Suppose 2*v = 3*y - 45818, 2*y - 68729 = 3*v - 2*y. Let h = v + n. What is h rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**5\/7 + 15*s**4\/7 - 7*s**3 - 99*s**2\/7 + 302*s\/7 + 48 = 0.\nAnswer: -2, -1, 3, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -1379, -4241, -9785, -18899, -32471?\nAnswer: -51389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.224 (c) 2\/3 (d) -0.3 (e) 2\/5 (f) -7.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - 0.36. Let d = -5923.5 + 5923. What is the third biggest value in d, t, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 6. Let o be z(-5). Let l be 3\/(126\/(-10)) - 194\/(-291). Is l >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p + 323. Let o be x(79). Let t(a) = -a**2 + 8*a - 8. Determine t(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 + 1018*m**2\/9 - 1004*m\/9 - 2032\/3.\nAnswer: -2*(m - 508)*(m - 3)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 = -11. Let k be (3\/n)\/(2\/16). Suppose -c = k*t - t - 4, 4*t - 7 = -c. Solve -3*h = d - 8, -t*h - h + 32 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 156 = -5*r, 5*b = -2*r - 34 + 115. Suppose 2*y - r = 15. Let h = y - 17. What is the remainder when 25 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -15*q - 1. Let c(d) = 36*d**2 + d + 11531. Determine c(i(r)).\nAnswer: 8100*r**2 + 1065*r + 11566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 25*o**3 - 7*o**2 - 7*o - 49. Let u(g) = 24*g**3 - 7*g**2 - 6*g - 39. Give 4*d(i) - 5*u(i).\nAnswer: -20*i**3 + 7*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 + 5 + (-6 - 5) + 43.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.821945um in meters?\nAnswer: 0.000006821945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57549 - 14028*i + 28779 + 28770.\nAnswer: -14028*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 + 56 - 131 - 21*o**3.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/6)\/f)\/f**(4\/9))**41 assuming f is positive.\nAnswer: f**(-205\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 223 = -202. Suppose 2*m - 4 = -2*v, 0*m - 4*m = 5*v - 5. Solve -m*i = -4*i - f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 17, 3, 5 in increasing order.\nAnswer: 3, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + m - 35 = 0, 17529*m - 55 = -4*a + 17536*m for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3 - 22 = c, 3*c + 4*l = -17. What is the units digit of c\/(-4) + (-42)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1590 is divided by 228?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -92561.402153 and -0.2.\nAnswer: -92561.602153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1573, 117, 28, 5 in decreasing order.\nAnswer: 117, 28, 5, -1, -1573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1539) + 0)*-5.\nAnswer: -45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/251265440 and 7\/554262.\nAnswer: 753796320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elelxzmlmlemlllllml. What is prob of picking 1 x and 3 e?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-201)\/(12\/3 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*d = 0, 4*x + 10 = -x - 3*d. Let k be (x - -3) + (-2 - 39\/(-10)). What is the nearest to 0.2 in 1\/4, -2\/3, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = -13*w - 3780. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(143)*4)\/(sqrt(11) + 5*sqrt(11)*2).\nAnswer: 4*sqrt(13)\/11 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 431, 418, 403, 386, 367, 346?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -28132.87 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**4 + 311 - 310 + 26*t**2 - 2*t + 19*t**4 to the form g + z*t**3 + f*t + q*t**2 + p*t**4 and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 145 - 145 + 2*n. Let f(k) = -2*k. Calculate y(f(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = f - 173, 1359 = 5*f - 2*h + 379. What is the greatest common divisor of f and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 greater than 13408\/1075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*w + 29, 4*x + 11*w - 16 = 15*w. What is the remainder when (-1)\/2*76\/(-2) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 272 + 103 + 110 + 5*z + 67.\nAnswer: 3*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*z + 36 = -3*z, 4*w - 39 = -z. Let s be (21\/(-4))\/((-5)\/(120\/w)). Suppose 19*r - s = 12*r. Solve -3 = r*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 52521*u + 52521*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 2*z + 128*z + 69*z + 172*z - 137*z + 96*z.\nAnswer: -z**2 + 326*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i. Suppose 3*j - 7*j + 24 = 0. Suppose -18 = -j*g + 18. Let r(n) = -19*n + 12*n + g*n. Give w(r(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 11*n**2 - 2*n + 298. Calculate v(0).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41075 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u**2 + 11*u - 17. Let q(j) = 6*j. Let v be q(1). Suppose -2*b = -2 - v. Let n(a) = -1 - 2*a**2 + b + 3*a - 5*a. Calculate -6*c(k) - 34*n(k).\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 - (-5 - (-1 + -3)). Let y(n) = 0*n - n + m + 3 - 17. What is y(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*p + 17*p**3 + 77*p.\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36621\/(-1014) + 42 + (4 - 10)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 386, -5, -15, 3, -8 in descending order.\nAnswer: 386, 3, -5, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-62)\/10 + (-2)\/(-10). Let s be (22\/8)\/(u\/168). Let i = s + 83. Calculate the lowest common multiple of i and 26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i**(-2\/5)*i)))\/((i**(3\/8)\/i)\/i))\/(i**(-2\/3))**(-25)*((i*i*i*(i*i**(-10)\/i)\/i)\/i**(-1\/18))**27 assuming i is positive.\nAnswer: i**(-27593\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.083, 2\/11, 1\/3, 4\/7, -1251.4?\nAnswer: -1251.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*w**3 - 4\/3*w + 0 + 0*w**2.\nAnswer: 4*w*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and 349559.\nAnswer: 41947.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 85*p + 5687. Let n be y(-67). Let b(g) = g**2 + 7*g + 12. Calculate b(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 12019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 110 = 5*v - 4*q, 5*v = -q + 110. Suppose -11*p - 60 = -577. Suppose -p - 32 = -w - 4*u, -u = 0. What is the remainder when w is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/33 - (26\/(-6) - -1). Suppose 5 = i*z + d, -z - d + 1 = -1. Solve 0 = 3*l - 5*g - 5 + z, -2 = g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 41 = -o, -30*n + 2*o - 4*o = -260. Solve 5*v + 52 = -5*u + 57, -3*u = -3*v - n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 60*a**2 - 3 + 4 - 3*a + 2*a. Let d be q(1). Suppose 3*g + 2*j = 6*j + 32, 0 = g + j - 13. Calculate the highest common factor of g and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*u + 1. Let f be u - -2 - (1 + 0). Solve 2*y**3 - 4 + 2*y + f*y**2 + 4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**5\/60 + p**4\/8 - 5*p**3\/6 + 15*p**2. Let a be x(2). Sort -1, 0, a, 2 in increasing order.\nAnswer: a, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 8736*u**2 + 8737*u**2 - 8*u.\nAnswer: u**2 - 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9575545 divided by -1915109?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(4)*5)\/((sqrt(90) + sqrt(90)*1)\/sqrt(10)) - (sqrt(343)*-2 + 0 + sqrt(343))**2*-2.\nAnswer: 5*sqrt(7)\/2 + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c59d3 + 7?\nAnswer: c59da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -1162206\nAnswer: 1162206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 6*t - 1. Let z be m(-6). What is the nearest to 1 in 0.2, -1\/4, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*v + 12727 = -44693. What is the greatest common divisor of 232 and v?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 3:22 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**2\/2 + 2. Let n be (6\/(-2))\/((-12)\/8). Let r(w) = 1. Let a(p) = -p**2 - 1. Let g(q) = n*r(q) + 2*a(q). Give g(c(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 8, 2*t - 4*y = -t - 23. Is ((15\/6)\/t)\/((-2)\/1756) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 71. Let r(i) = i**2 + i + 2. Let f be r(d). Suppose 4*z + x = -x + 8, -f*z + 24 = -2*x. Calculate the highest common factor of z and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**4 - 3*z**3 - 3*z**2 + 9. Let m(f) = -5*f**4 + 4*f**3 + 4*f**2 - 9. Let u(d) = 4*a(d) + 3*m(d). What is the first derivative of u(h) wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (801\/(-356))\/(90\/(-16))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-64*i + 185*i + 237*i).\nAnswer: -716*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-3\/2))\/u*u)\/u**(-6\/5)*(u**2\/u)**(-7\/2))\/((u**(-4))**(-5\/16))**(-2\/43) assuming u is positive.\nAnswer: u**(111\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47194 by 159.\nAnswer: -47194\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12154830 and 4590?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 67\/5 of a microsecond?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**4 - 16100*a**3 - 6085828*a**2 - 6069724*a = 0. What is a?\nAnswer: -347, -1, 0, 4373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 + 1. Let b = 3.9 - 3.8. What is the nearest to b in -1, f, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143154\/13 at least as big as 11013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19 and 0.265952123.\nAnswer: 19.265952123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -154324 rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s + 3*s, 0 = 3*h - 2*s - 4. Suppose h = -4*t + 3*t - 5*p + 94, -t + 4*p + 85 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 84*n - 6. Let i(s) = -2*s + 34. What is the remainder when b(1) is divided by i(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28386 = 2*q + 2*m, 1031*q + 42591 = 1034*q - 3*m. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*((-5)\/45*3\/(-12))\/(9\/(-36)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3\/8*n**5 + 33\/8*n**3 + 9\/4*n**2 + 0*n + 0 + 9\/4*n**4 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156 + -152. Solve v - 18 = b*m - 5, -4*v + 16 = -4*m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1 - 5 = 4*h, -5 = -4*x + 5*h. Let l be ((-584)\/(4 + x))\/(6\/3). What are the prime factors of l\/(-1) + (1 - 2)*3?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17708.\nAnswer: 2, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 - 206 = 0. Let w(n) = -n**3 - 3*n**2 - 2*n - 9. Let q be w(-5). Let l = u + q. Which is the third biggest value? (a) -4 (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106126549.\nAnswer: 113, 263, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 2027*v**4\/12 - 4291*v**3\/6 - 6550*v**2. Differentiate s(x) with respect to x.\nAnswer: 4054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 5*a - 1124*a**2 + 2*a + 1086*a**2 as b*a**2 + t*a + w*a**3 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 3*a**2 + 4*a + 5. Let t = -19 - -24. Suppose t*j = 2*v - 0 - 6, -2*v + j + 22 = 0. Suppose 4*g + 2*k + v = 1, 3*k = -5*g - 14. Give u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-53) + (31612504\/32224)\/(-259)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*g + 11120 - 7200 = 0 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzm when three letters picked without replacement from kkzkkkkkknkzkkkkm.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g**2 + 476*g - 2537. Calculate t(56).\nAnswer: -4105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2224, 4464, 8192, 13402, 20088, 28244, 37864, 48942?\n\"Answer: -g**3 + 750*g**2 - 3*g + 1478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*g**2 + 39*g**3 + 12*g**3 - 46*g**2.\nAnswer: 51*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o\/(o\/(o\/o**(-7)*o))))*o*o\/(o**(-4)\/o) assuming o is positive.\nAnswer: o**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 17*w + 27. Let l be c(-2). What is the fourth biggest value in 2\/7, -2\/3, 39\/5, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + -3.04. Suppose 45*k - 40*k - m + 13 = 0, 2*k - 4*m = -16. Which is the smallest value? (a) 1.3 (b) q (c) k (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 29*x**2 + 3*x - 30. Let h(j) = -58*j**2 - 5*j + 60. Let v(z) = -5*g(z) - 3*h(z). Differentiate v(l) with respect to l.\nAnswer: 58*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -3, -39, -109, -225, -399, -643?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1857868\/17 equal to -109285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/((z\/(z\/z**(-1\/3)))\/z))\/z)\/z*z*z)\/(z\/z**(-2\/15)))**(16\/7) assuming z is positive.\nAnswer: z**(96\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 4840*p + 4856*p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354 = 5*w + 3*t, -4*w + 14*t = 22*t - 300. Calculate the greatest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 113021451?\nAnswer: 113021454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 17332?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1284344 to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 21127.68 to the nearest 10.\nAnswer: 21130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -735*s + 13. Let u(l) = 367*l - 5. Calculate 2*j(t) + 5*u(t).\nAnswer: 365*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -91*j**3 - 21*j**2 + 4*j + 6. Let m(i) = 18*i**3 + 4*i**2 - i - 1. Let g(q) = 2*h(q) + 11*m(q). Suppose 0*w = w - 1. Is 16 a factor of g(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*x - 10 - 3 = 0, -3*y - 2*x = 12. Let f = 7 + y. Let h(a) = a**2 - 5*a + 6. Does 3 divide h(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11709 and 14.8?\nAnswer: 11723.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.14 (b) 1\/8 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (183 - 77 - -23) + -9\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 104, 142, 188, 248, 328, 434, 572?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/881 < -0.0488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5667, -5442, -5219, -4998, -4779, -4562, -4347?\nAnswer: -4134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, f: 2, h: 2}. Give prob of picking 1 f and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392)\/(-1*sqrt(8)*-4))\/(sqrt(49)\/(sqrt(7) + (1*sqrt(56))\/sqrt(8))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*s - 4\/3*s**2 + 0 - 2\/3*s**5 + 0*s**3 + 4\/3*s**4.\nAnswer: -2*s*(s - 1)**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2141, 3, 20, -211, -4 in ascending order.\nAnswer: -211, -4, 3, 20, 2141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/10190261?\nAnswer: -8\/10190261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -160\/759 - -2\/69. Is z bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 6*q + 8. Let g(l) = -l**2 + l + 2. Let m be g(3). What is the remainder when 61 is divided by x(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1032060 (base 7) to base 13\nAnswer: 45210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 0.03 (c) 0.5 (d) -2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50950 and 8582018.\nAnswer: 2038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(140))*-4*5)\/(1*-2*-1*sqrt(5)) + -4.\nAnswer: -30*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37421414 by 813509.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 185389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*(56\/10)\/28\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 2*u**4\/3 + 115*u**2. Let r(w) = -69*w - w**2 + 69*w. Give t(r(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -11. Suppose d = 5*d - 20, 2*f = d - h. Let o be -1 + f + (-2 - -5). Solve 3 = o*r + 5, 0 = -3*z - 3*r + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 6. Suppose -20 = -98*w + 93*w. Determine i(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/19797375 and -19\/9502740.\nAnswer: 237568500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 - -1. Let x = c + 0.4. What is the second smallest value in x, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 346640628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 - o**4 + 4*o**3 - 6*o**3 - 4*o**2 + 1 in the form h*o + a*o**2 + j + y*o**4 + c*o**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*p**3 - 2*p**3 + 30*p**2 + 36*p + 49*p**3 - 24*p**3.\nAnswer: 63*p**3 + 30*p**2 + 36*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 - 2*j**2 + 1. Suppose 0*c = -5*c - 5. Let m be h(c). Let o be (-48)\/(-56)*7*1. Solve 2*b + m = o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a92069 (base 11) to base 6\nAnswer: -101222440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*w - 138*w - l - 10438 = 0, 0 = 4*w + l - 10434. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6416 and 654832?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 584108 - 2*y**3 - 584108 - 8*y**4 + 238*y**2 wrt y.\nAnswer: -192*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0\/p*p)**(-34)*p**(-7)\/(p\/(p**6*p)))\/(((p\/(p*(p*p*p\/p**(-6))\/p))\/p**(-5))\/(p**(-7)\/(p**2\/p))) assuming p is positive.\nAnswer: p**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 - 36 - 77 = 4*o + 6*m, 5*o + 6*m - 3*m = -91 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/80)\/(24\/(-16))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536231987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -240315151 (base 6) to base 13\nAnswer: -c19540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 429682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 10*h**2 + 8*h + 9. Let l = -6 + 15. Let q be b(l). Suppose q*m - m + 1 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101*a*i**2*n + 2*a*i*n - a*i + a*n - 27*a - 4*i**2 wrt n.\nAnswer: 101*a*i**2 + 2*a*i + a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 206 = -242. Let u be 1 - (3 + 3 + -1). Put u, w, -2, -1 in decreasing order.\nAnswer: w, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*q + 169663, -44*q - 282766 = -49*q - 4*b. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/440*2\/(-4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 y when four letters picked without replacement from {p: 5, u: 4, y: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 = -3*q, -2*q + 7 = 4*z - 9. Let f(r) = -5*r**3 - 3*r - 4. Let v(h) = -4*h**3 - 2*h - 3. What is z*v(b) - 2*f(b)?\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -9037*j - 20*j**2 + 53*j**2 + 9039*j in the form g + r*j**2 + i*j and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 95*z + 18. Let o(w) = -2*w - 4. Calculate -5*o(k) - q(k).\nAnswer: -85*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12422100400 - 0?\nAnswer: -12422100400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -46 + 26 + 11?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -20*d. Let t(c) = 51*c**2 + 13. Give t(g(j)).\nAnswer: 20400*j**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/81450 and -8\/24435.\nAnswer: 244350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -14. Solve 6*f - v = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 6\/(-2) - (-21)\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v = -19*v - 705. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13221213 + 2303?\nAnswer: -13212310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 880887, 880890, 880893?\n\"Answer: 3*l + 880884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4428 = -3*h - 2*h + 2*x, 3*x = h - 896. Let s = h - -203. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 - (-10)\/(-6). Let t = -3.3 - -7.3. What is the closest to -1 in t, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277284463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9566637+88.9\nAnswer: 9566725.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 19720?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17626*a**5 - 295*a**2 + 3*a - 2 wrt a?\nAnswer: -1057560*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9358*n + 159035. What is x(-17)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 154\/50 - (-202)\/(-2525). Let k(b) = b + 2*b - 3 - 4. Let o be k(d). Solve v + 2*j = -o, 5*v + 0*j = j - 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 12 = -2*i, 25 = -4*y - y + 3*i. Let m = -4.3 - -5. Let k = m - 0.2. Sort k, y, 2 in ascending order.\nAnswer: y, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-102))\/(-3 + 2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -22191565?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/266752 and 69\/1067008.\nAnswer: 1067008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5191 + 5697.6. Let a = -558 + y. Let h = a - -56. Round h to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073691.\nAnswer: 3, 119299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.2 (c) 1\/4 (d) -171\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - y + 2*y + 2, -2*x - 3*y = -9. Let o = 1 + 5. Solve -3*r + a + 19 = 2, -x*a - o = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 42314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.09, 2\/19, -5, 3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1346, -2650, -3954, -5258, -6562?\nAnswer: -7866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 10*t**2 + 17*t + 11. Suppose -6*y + 3*y = 24. Let s be a(y). Let c(f) = -9*f**3 + s*f**3 + 3*f - 3*f**2 + 5*f**3. Give c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 1 = -19*d. Suppose o + 4*u + d = 0, -2 - 2 = 4*o + u. Which is the closest to o? (a) -5 (b) 2\/3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 5343323\nAnswer: -1\/5343323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*n, -2*n = -3*n + 2*o + 4. Let m(q) = -3*q + 2*q + 3 + 4*q. Give m(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -364883 + 364875. Let j = 0.1 - 0.1. Put 2\/11, j, g in increasing order.\nAnswer: g, j, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/2 + 29\/6. Let z(j) be the first derivative of 3 + j**2 + w*j**3 + 0*j. Find the second derivative of z(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crsrxpcxrmsrr. What is prob of picking 1 x, 1 s, and 1 c?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1242039, 2484066, 3726093, 4968120?\nAnswer: 6210147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1138, -2263, -3374, -4465, -5530, -6563, -7558, -8509?\n\"Answer: z**3 + z**2 - 1135*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22\/198*30*4\/(16\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-132)\/(-24))\/((-1)\/(-2)) and 11 - 1*(1 - 0).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4023.69 + 4024. Which is greater: 77 or i?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3390.8, 4, -6, 0.368?\nAnswer: 0.368","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36, -160, -368, -660, -1036, -1496?\n\"Answer: -42*q**2 + 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*s - 32*s + 27. Put 1, s, -5 in decreasing order.\nAnswer: s, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -214112 - -625?\nAnswer: -213154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 23*b**2 - 21*b + 17. Let g = -1607 + 1585. What is z(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Let s(z) = 6 + 0 - z**o + 9*z - 1 + 1. Calculate the least common multiple of s(9) and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49841 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 47\/(893\/456)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/145 or 1?\nAnswer: 27\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33641, 33642, 33643, 33644, 33645?\nAnswer: 33646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.78 in -2, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 342 - 10*z**3 - 2470 + 20 + 50*z**2 wrt z.\nAnswer: -30*z**2 + 100*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342596 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfgjppwwpjpjjqqqjpwp. Give prob of picking 2 j and 1 p.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 21 = 6. Let w = 19 + -10. Let r = 6 + w. Solve k + r = -o*t - 0*k, 0 = 5*t - 5*k + 45 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 16 + 11)*(-186*a + 186*a - 86*a**2) in the form w*a + o*a**2 + n and give o.\nAnswer: 1634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) + (sqrt(252) - -2*sqrt(252)*-6))\/(sqrt(1728)*2))\/(sqrt(63)\/(sqrt(9) + sqrt(144)) + 2*sqrt(847)))**2.\nAnswer: 625\/591408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -50814, -108178, -165542?\n\"Answer: -57364*o + 6550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2 - 93970*a + 15891 with respect to a.\nAnswer: 2*a - 93970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*y + 18 = -81*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60943325?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817*i - 4990 = 14618 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-760)\/90)\/(-38) + (-3312)\/(-81)*2?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 26*p**2 + 3*p + 1. Let k be g(9). Let r = k - 8601\/4. Find the common denominator of r and -71\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3123*-0.5.\nAnswer: 1561.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 49056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 67*i**2\/5 - 26576*i\/5 + 45008.\nAnswer: (i - 388)*(67*i - 580)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 208\/6 + (-4)\/(-12). Suppose -2*m + 35 = 3*m. Calculate the greatest common factor of m and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 2*w - 208 - 221 + 460 = -2*w, 4*l - 3*w = 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.1. Suppose -35 = -5*n + 5*s, -2*s + 4 - 15 = -n. Suppose -n*g = -3*o, -o + 2 = g - 6. Sort i, o, 5\/6 in increasing order.\nAnswer: i, 5\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877813?\nAnswer: 277, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*a + 70, k - 3*k - 2 = 0. Let n = 107 - 63. Let o = a + n. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/936)\/((-21)\/(-35)*10*6\/(-96)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 - 580 = -26*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - j + 21 = 2*q, 5*q - 91 = 2*j. Suppose u - 4 = -q. Let m = u + 35. Calculate the least common multiple of m and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 12. Let l be p(7). Solve -2*m - 25 = -5*b, b - 13 = m - l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 17. Let j(u) = u**2 - 16. Give 4*j(r) + 3*p(r).\nAnswer: 4*r**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -319, -32, 0 in descending order.\nAnswer: 0, -32, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2308 - -2088. Do n and -441\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -13 + 5. Let k = -51 - -21. Let f be 54\/k - (-1)\/(-5). Sort f, d, 1 in descending order.\nAnswer: 1, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 + 3*v**2 + 3*v**3 + (5*v + 2*v**2 - 5*v)*(-2*v + 4*v - v) + (-v + 3 - 3)*(-v**2 + 2*v**2 - 2*v**2).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1483982*t**6*y**3 + t**2*y**2 + 8*t*y**3 + 43497*t*y wrt t.\nAnswer: -178077840*t**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (7 + -13)) + 36 + -9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + sqrt(300)*-1)\/sqrt(12) + sqrt(25))\/(-2*sqrt(245) + sqrt(245)).\nAnswer: -sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360657 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -0.1 (c) -135 (d) -17 (e) 35\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gda when three letters picked without replacement from eagddor.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 63\/(-28) - 12\/(-6). Which is the second biggest value? (a) -5 (b) 0.5 (c) 2\/113 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8095*m + 65208 = -9577*m for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 1, g: 1, m: 2, e: 1, r: 2}. Give prob of picking 1 e and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35529\/4 + 8882. Let u(b) = b + 3. Let p be u(3). Put r, 1, p in decreasing order.\nAnswer: p, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 289 - 269. Solve -17*b + 15 = -a*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 - 51\/15 - (-4)\/10. Is (-2)\/(4\/(-5014)) - f\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -7*i + 4*i. Suppose 3 + i = -5*h. What is the second smallest value in -2\/5, h, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) -0.4 (c) -1 (d) 0.1 (e) -14\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -201.911 - 0.029\nAnswer: -201.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -7 - (0 - 1). Suppose r - q = 9. Suppose 4*s - 2*s = r. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*d**2 + 618*d + 32002.\nAnswer: 66*d + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 + -0.2. What is the smallest value in 5, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7686 and -14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 + 87*f + 33. Determine b(22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*f = w - 418*f - 70, 3*f - 30 = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 12)*(-20)\/16*(-754)\/130?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201, -827, -1871, -3333?\nAnswer: -5213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503692423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -711 + 2134\/3. Factor -1 - m*j**2 + 4\/3*j.\nAnswer: -(j - 3)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70032 divided by 1459.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k**2 - k + 7*k**2 + k**2 - 120. Let p be i(0). Is p\/(-16)*(-64)\/(-10) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**3 - 6*r**3 + 2*r**3 + (-14 + 8 + 28)*(-86*r**3 + 10*r**3 - 21*r**3) to l*r**3 + m*r + b + s*r**2 and give l.\nAnswer: -2133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11340 + 11341. Let o = -361.07 + 359. Let t = 0.07 + o. Put -1, t, s, 0.4 in descending order.\nAnswer: s, 0.4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85424, 86478, 89342, 94922, 104124, 117854?\nAnswer: 137018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.5 + -29. Let i = h + 2.50000041. What is i rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/103 (b) -0.084 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 437637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -315*f - 389. Determine w(-1).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-153)\/2)\/((-16)\/(-80)*19\/((-152)\/60))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -140 + 162. Which is smaller: r or 238\/11?\nAnswer: 238\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 12*j + 62. Let x be 62\/(-341) - 178\/(-11). Let o be u(x). Put -8, o, -4 in descending order.\nAnswer: o, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001000001110101100 (base 2) to base 12\nAnswer: -123264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfsssfxsx. Give prob of sequence jssx.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let i be c(6). Let u be i\/8*6\/9. Let l be (-4 - u)*2\/(-57). What is the nearest to -1\/5 in 2\/11, l, 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.5 - 1441997?\nAnswer: -1441701.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11343 (base 6) to base 10.\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 321609 - 321609.00142913. Round p to 5 dps.\nAnswer: -0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610 + 259 + 464 = -66*c + 13 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -30074948.74 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1253779 divided by 2909\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26030*c**3*m**2 + c**3*m*v + 16781*c**2*m*v**2 + c**2*v - 3*c*m*v**2 - 2*m**2*v**2 wrt m?\nAnswer: 52060*c**3 - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1155 and 25080.\nAnswer: 175560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570840 divided by 536.\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*v + 22*v**2 - 20*v - 9*v**2 - 12*v**2.\nAnswer: v**2 + 17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.71 - -6.64. What is the closest to 8 in r, 4\/3, 0?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**5\/4 - 80*i**4 + 2815*i**3\/4 - 1570*i**2 + 945*i = 0?\nAnswer: 0, 1, 2, 7, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*r - 8, i + 2*r + 3 = 8. Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.7828 litres in millilitres?\nAnswer: 31782.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 17*h**4\/12 - h**3\/2 + 635*h. Let r(d) = d. Give r(z(p)).\nAnswer: 17*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 0*o**3 + 12*o + 0*o**2 - 117 - 73\/4*o**4. Differentiate k(a) with respect to a.\nAnswer: -219*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -94, -144, -196, -250, -306?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 104 (b) -222 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 499418537 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1677, 3368, 5095, 6876, 8729?\n\"Answer: 3*z**3 + 1670*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498556 is divided by 83090?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.23204 and 0.52.\nAnswer: 0.28796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h + 3. Let o(p) = p**3 + 3. Let m be o(-2). Let j(b) = 5*b - 4. Let v(d) = m*j(d) - 6*f(d). Give v(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/11, 4\/3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226 is divided by 112?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 2*g - 14, 3*d + 26 - 39 = -g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b - 4. Calculate c(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102 + 100. Let i be j\/(-5) - (0 - (-78)\/(-30)). Solve -i*t - 5 = -4*c - 15, 5*c = -5*t - 30 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2577*12.\nAnswer: 30924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -573139.\nAnswer: -229255.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 85*q + 1. Let c(p) = -23947*p. Calculate u(c(k)).\nAnswer: -2035495*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22\/9 in -18\/11, -2, 10\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 7*b - 267. Let y(u) = -88 - u**2 + 2*u**2 + b + 5*u**2. Let c(z) = 2*z. Determine y(c(j)).\nAnswer: 24*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -75 + 62?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, -11, -22, -33, -44?\n\"Answer: -11*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 133 - 5. Let w(h) = 6*h - 31. Let s be w(6). Is s*(q\/(-20) + -1) + 1168 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 8 = -w, -2*w + 1296 - 1294 = a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/14)\/((-3)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + d**2 - d - 2. Let m be j(2). Suppose -v - v = m. Let n = 5 + v. Solve 1 = -o - n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*l + 0 - 7*l**3 - 25*l + 1 - l**2 - 9*l**3 + 51*l to a + p*l**2 + d*l**3 + s*l and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**7\/21 - 13*w**6\/15 + 112*w**3 + 135*w. Find the second derivative of z(l) wrt l.\nAnswer: -40*l**3 - 312*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20, -38, -52, -62, -68, -70?\n\"Answer: 2*s**2 - 24*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -877, -1887, -2883, -3859, -4809?\nAnswer: -5727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/168 and ((-4)\/6)\/(3 + 9427\/(-3201)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7279 and 5481.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmkrg. What is prob of picking 1 w and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-115)*-2*10*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*i + 3*i - 1 = 0, -4*d + 3*i - 5 = 0. Let m be d - (2 - (-2 - 2)). Let p = 0.3 + -0.8. Which is the second biggest value? (a) -4 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3421.\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 2285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and 58?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 6 (b) -0.2 (c) 1\/5 (d) -3 (e) -112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 0.04.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22554766 or -22554767?\nAnswer: -22554767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*k - 54*k**4 - 11*k + 38*k**2 + 55*k**4 wrt k.\nAnswer: 12*k**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292\/447 + -2\/149. Let p be (-5 + (-26)\/(-5))\/((-1)\/2). Is n >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22686?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 313956 and 586188?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 - -50. Let l = 161 + g. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233 = 80*l + 173*l - 3522 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1731592946 rounded to 3 decimal places?\nAnswer: 0.173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*p + 436 = 4*p, 5*t + 5*p + 560 = 0. What is the units digit of (6 - -2)\/((-11)\/t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 2, o: 1, u: 2, d: 2}. Give prob of sequence do.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56 and 3590157803.\nAnswer: 3590157747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -51006?\nAnswer: 1\/51006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-2))\/(1 + -2). Suppose -3*s + x - 3*x = 2, -4*x = -v*s + 24. What is the third derivative of s*l**2 + l**2 + 0*l**5 + 5*l**5 wrt l?\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-35) - 174\/410)*(-2573 - -2567)\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420788821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g - 2 - 6*g + 4*g. Suppose -2*o + 4*n + 42 = 10, -4*n + 38 = 3*o. Let b(h) = 0 + 1 - 2960*h + 2957*h. Determine o*b(y) + 5*q(y).\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -172431408 divided by -408?\nAnswer: 422626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/2*(9 - 15). Suppose -o*g = -13*g - 1440. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 704 and 664.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -13 (b) 1\/3 (c) 4 (d) -2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23553 (b) 10 (c) 2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2. Let z(r) = 9*r**2 - r + 1. Let v = 1432 + -1439. Determine v*d(h) + 2*z(h).\nAnswer: -3*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4*x - 904 = -895, 0 = -c - 3*x - 9 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40509708, -81019439, -121529184, -162038949, -202548740, -243058563, -283568424?\n\"Answer: -b**3 - b**2 - 40509721*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1030 - 3446 = -302*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**6\/3 + 7*t**3\/2 + 36*t. What is the second derivative of n(b) wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4570\/17 or 270?\nAnswer: 4570\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - c - 2. List the prime factors of i(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1292 = 51*h + 384 + 211 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**2 + 8*w**2 + 4*w**3 - 16*w**3 wrt w.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.001?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1075)\/(-43))\/(-75))\/((-5)\/150).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008697339 rounded to 6 decimal places?\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -140*h + 3. What are the prime factors of j(-19)?\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -32. Let z be (4\/5)\/(q\/5). Solve 0 = 2*v + z*v - 2*y - 6, -5*y - 15 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/6 and 81\/105689104.\nAnswer: 317067312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10 from -1626.\nAnswer: -1616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v - 2. Let k(q) = -13*q**2 - 22*q - 10*q + 32*q. What is a(k(y))?\nAnswer: 156*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 - 102 - (5 + 9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 127*t**2 - 52*t**2 + 664 - 336*t - 59*t**2 - 14*t**2.\nAnswer: 2*(t - 166)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 876519928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9836*u - 49222. Give g(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -148*x**3 - 141*x**3 - 116*x**3 + 332*x**3 - 5*x**2 as k*x**2 + s + w*x + y*x**3 and give y.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 5*z - 59. Let q = 11191 + -11197. What is g(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8\/2639 - -1382796\/13195. Is 104 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 11\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 659, 690, 723, 758, 795, 834?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zetz when four letters picked without replacement from tttztttzzzttttzzezt.\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 186698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 531598.\nAnswer: 1594794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421919?\nAnswer: 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10768, 20727, 29040, 34885, 37440, 35883?\nAnswer: 29392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**5 - 4545*g**4 - 1242565*g**3 - 91288335*g**2 - 586757430*g - 496707120 = 0 for g.\nAnswer: -399, -104, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (184\/(-138))\/(26\/3)*(-10)\/(-5).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 11\/827 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -65.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-5))\/(10\/(-50)). Let w = 12 + -7. Suppose 5*i = w*l - 25, -z*i - 45 = -5*l - 8. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.33, -5, -3, -909, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7.166721 minutes?\nAnswer: 430.00326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*q*x - i + 80*q - 2*x + 142 wrt q.\nAnswer: -2*i*x + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.76 - 0.24. Let g = -11 - k. Let l = -877.09 + 876.09. What is the third biggest value in -0.3, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 15 + 42)*(-3*b**2 - b**2 + 9*b**2)*(5*b - 3*b + 0*b).\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 247 and 665?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163 - -168. Suppose -x*k - 3*f = -27, 4*f + 2 = 2*k - 14. What is the least common multiple of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 0 + 0)*(3 + 0 - 5)*(-6055 + 6055 + 551*f) as a*f + z*f**2 + y and give z.\nAnswer: 1102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from hujkujjuuujuku.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 15*i**6\/8 + 7*i**5\/2 - 5*i**4\/6 - 20*i**3\/3 - 114*i**2. Find h such that p(h) = 0.\nAnswer: -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 60*n - 105, -178*n + 177*n = -3*c + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 5\/236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 35088 divided by 172\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11695\/17 + 688. Suppose -d - 5*o - 90 = 0, -2*d = d + 4*o + 281. Let t = d + 1237\/13. What is the closest to -3 in 0, b, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -259319 - -259372. Let k(m) = -m**2 + m + 2. Let d be k(0). Calculate the highest common divisor of d and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 6*a**2 - 4 + 8*a**2 - 3 + 3 + (0*a - 28 + 3*a - 53)*(-2*a - 2*a + 3*a) to the form f*a + i*a**2 + k and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 + 345 + 470)*(0*g - 2*g - 2*g).\nAnswer: -2940*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12828*y - 14411*y = -39575 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 246 = -5*w. Is 29 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzz when three letters picked without replacement from {r: 3, z: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -80422, -1\/5, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 10 = 3*z + 26, 0 = -3*l - z + 4. Let r be 267\/9 + l\/6. Suppose -r = -2*g - g. Solve i = -2*n - 7, 2*i = -5*n + g - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15 and -173834572.\nAnswer: -173834587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + k + 20 = 0. Suppose 5*f = 20, -8*i + 4*i + 4*f = -4. What is the smallest common multiple of k and 6\/(((-45)\/(-12))\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 = 5, 4*p = 3*d + 21. Let a be ((-10)\/p)\/(30\/(-108)). Let l(x) = -7*x**2. Let r(z) = -z**2. What is a*l(g) - 39*r(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/318150 and -13\/289304400?\nAnswer: 867913200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 s when three letters picked without replacement from {o: 3, r: 2, s: 2, f: 1, b: 6}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1135489377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 7*j - 8. Let b be n(-8). Suppose 2*a - 30 = 3*g, b*g - 3*g = 4*a - 42. Let f be 6\/(-4)*(-16)\/6. Solve 0 = -f*h + h + a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6783 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1455)\/4559)\/((-37)\/1739).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3*0 - 0. Let s = 3 - d. Suppose 0*m - m + s = 0. Solve -k = 2*u - 15, u + u - 25 = -m*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 287329064?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 8:18 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 642.6 plus -0.2?\nAnswer: 642.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1099107 + k**2 + 6*k**2 + 2198223 - 1099116.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q = -78. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1, 5, -9982?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(500) - sqrt(500))**2 + (sqrt(60)\/(sqrt(48)\/sqrt(4)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5139, 5949, 6761, 7575, 8391, 9209, 10029?\n\"Answer: u**2 + 807*u + 4331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -112)*2\/9. Let s = 25 + i. Let g be (-80)\/(-180)*21\/70. Sort g, -0.15, s.\nAnswer: -0.15, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 2008*r - 2004.\nAnswer: -4*(r - 501)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 7 + 7 + 2*o**3 + 2*o**3 + 3*o**3 - 3*o**3 + (-1 + 5 - 6)*(-3*o - 2*o**3 + 3*o).\nAnswer: 8*o**3 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 151939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d - 8*d)*(-6 - 10*d**2 + 6).\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-596)\/(-12) - (-6825)\/2925\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (33\/308)\/((-15)\/8). Let i = -29\/105 + a. Let w be (3\/34)\/((-6)\/(-8)). Put w, i, -5 in descending order.\nAnswer: w, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 1, m: 1, x: 4, e: 1}. Give prob of picking 1 e and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001064999 to 7 decimal places.\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 4. Let c(x) = x - 1. Let r(v) = 15*c(v) - 3*u(v). Determine r(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 10*r**2 + 15*r + 14. Let h be m(8). List the prime factors of (13 + -5 - 2)\/(h\/464).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8466*p**2. Let c(v) = 5*v. Calculate s(c(l)).\nAnswer: 211650*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20199.363 * -8\nAnswer: 161594.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 276\/2*(107996\/(-588) - -183).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -14*x. Let w(z) = 19190376*z. Give w(o(s)).\nAnswer: -268665264*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2. Let m(h) = 78*h**2 - 42*h**2 + 12 - 37*h**2. Determine m(r(l)).\nAnswer: -4*l**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5245 by -2.\nAnswer: 5245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.052 * 0.21\nAnswer: -0.01092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69385 is divided by 2775.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -273601*v**2 + 5*v. Let d be l(5). Round d to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8405?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*o - 232*o = -328 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/(-6) + 4 + -1. Suppose -5915 - 4264 = -n*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {c: 9, z: 1, h: 3, j: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 11) to base 14\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3920 times -4\nAnswer: -15680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 903*y**2 - 8*y. Determine n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3835973145262.6999995 - 3835974294789. Let b = g + 1149526. Let i = -0.3 - b. What is i rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (5 + sqrt(2) + 1 + sqrt(2) - (sqrt(2) + 2 + sqrt(4)\/sqrt(2)))**2)*-1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1.8578523897?\nAnswer: -1.8578523897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 738 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 2*v - 2*v + (3 - 5 + 4)*(2*v + 0*v - 4*v) + 3*v - 5*v + 5*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2893)\/(-263) - -302*3\/(-84).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 2*n**2 + n + (2*n + 2 - 2)*(5 + 8*n - 5) + 3 - n**2 - 3 + (5 + 1 - 2)*(12*n + 6*n - 6*n)*(-3*n + n + n) in the form p*n + r*n**2 + x and give r.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.7 + -0.3. Let l = -9 - q. Put l, 3, -0.2 in decreasing order.\nAnswer: 3, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30090 is divided by 753?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -883032, -883048, -883062, -883074, -883084?\nAnswer: -883092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 78621725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 35*x = 37*x, 1 = -a + x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 1. Suppose 0 = 5*z - 6 - 4. Let v(a) = 6*a - 3 + 0*a - z*a. Let j = 27217 - 27212. Determine j*b(p) - v(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -174342397526 and 2.\nAnswer: -174342397524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 13657124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468862*v**2 + 93782*v**2 - 3*v - 523032*v**2 + v.\nAnswer: -898112*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 7) + -7 + 3 + -1 - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.123 - 1.877. Let j = -7.2 - -21.2. What is the nearest to -3 in w, j, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**3\/2 - 9*d**2 - 5*d. Let j be w(8). Suppose 0 = j*o - 10*o. What is the nearest to -0.2 in -1, -3\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.74 - 2.37. Let k = m - -0.63. What is the closest to k in 1\/2, 0.3, 1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-10)*x*x*x*x**8)\/(x**(2\/29)*x*(x*x\/x**(-18))\/x*x*x))**(1\/5) assuming x is positive.\nAnswer: x**(-611\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/10 - (-1)\/5. Let l(h) = h - 2. Let u be l(p). Which is smaller: u or 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t + 7. Suppose w + a = 2*a - 3, -w = 4*a - 2. What is the units digit of j(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.4 and 3479508.20316?\nAnswer: 3479509.60316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-7)*i)*i*i*(i**(1\/2)*i)\/i)\/((i*(i\/(i*i\/((i**(-2\/3)\/i)\/i)))\/i)\/(i**4*i)) assuming i is positive.\nAnswer: i**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(sqrt(1216) - (-4 + sqrt(1216))**2)*-3.\nAnswer: -648*sqrt(19) + 11084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**3*u + 140*l**3 - 18*l*u wrt u.\nAnswer: -l**3 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162661 is divided by 8560.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53257720141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/5 - 3*a**4\/5 - 9*a**3\/5 + 23*a**2\/5 - 12*a\/5 = 0. What is a?\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985 is divided by 209.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -2\/54193, 0.1, -101?\nAnswer: -2\/54193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -0.693 (c) -0.05 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z - 33. Let a be w(-15). Suppose -25 = g + 5*m - a, 0 = g - 2*m - 42. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -191\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 10:16 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/17, -2364, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3277 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -144456, -288886, -433302, -577704, -722092?\n\"Answer: 7*o**2 - 144451*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.076696 * -5.\nAnswer: 5.38348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 121*z**2\/2 - 42. Let r(d) = 2*d**2. What is a(r(w))?\nAnswer: 242*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -37*p - 3*p + 82677. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11298 <= -11297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = 0, -2*i = s + 3*i + 1. Let g be 8\/2*s\/(-8). Suppose 4*l + 4 = v, -2*v = -g*l + l - 20. Calculate the greatest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -5. Suppose 4*g = 5*g + 12. Let k be (6\/24)\/(2\/g). What is the biggest value in 5, v, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/((-14)\/48) + -3. Suppose 5*o - 29 + 84 = 0. Let a = r + o. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12175 - 3?\nAnswer: 12172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 10 - -2 - (-6 - 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 14*t + 140. Let c be (-105)\/(-99) + t\/21. Is 1 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 9) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117\/20 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 191.\nAnswer: 37\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -528 + 383154?\nAnswer: 382525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**7)\/(m*m**(2\/5)))**6)**(-5) assuming m is positive.\nAnswer: m**222","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + 6*a**2 - a**2 - 157*a + 68*a**3 + 158*a.\nAnswer: 68*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6339510 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291 + 74 = -31*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let n be (o\/(-1) - -1) + 4. Suppose 2*u**2 + 3*u + 2*u**n - u**3 - 2*u = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 2*z**2 + z - 2. Let t be a(2). Suppose t*f - f = -9. What is the tens digit of 850\/18 + (-2)\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + (594\/(-8))\/(-9). What is the lowest common multiple of 11 and (1 - 0)\/(u\/112)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1740147, 3480287, 5220427, 6960567, 8700707, 10440847?\n\"Answer: 1740140*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -30. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26548.\nAnswer: 2, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/18*1*(104\/3 - (53 - 45)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7943237, -7943236, -7943235?\nAnswer: -7943234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40198.24mg in grams?\nAnswer: 40.19824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26382782324 + 26382782324 + 4*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.36 and 18780?\nAnswer: 6760.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + sqrt(1331) + sqrt(1331)) - sqrt(1331) - sqrt(1331)) + 4 + -1.\nAnswer: -132*sqrt(11) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 24\/751, -7260 in decreasing order.\nAnswer: 1, 24\/751, -7260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*t = -65, 4*z - 31 = 3*t + 22. Calculate the remainder when z is divided by (-10)\/3*(0 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3187*x**6 - 11*x**2 + 33*x wrt x?\nAnswer: 382440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 1 + 111*q - 5 - 3 + 21.\nAnswer: 111*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009933564 rounded to 6 decimal places?\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2598 + 2658. What is the remainder when 185 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1244 + 13693\/11. Find the common denominator of (3 + 92\/(-32))*86 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -554 - -572. What is the remainder when 1402 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 262.500809 to 0 decimal places.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120 + -25744.7697435.\nAnswer: -25624.7697435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86495151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 3, l: 1}. Give prob of sequence fn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -1\/180*y**5 - 2*y**2 + 0 + 0*y**4 - 35*y + 1\/18*y**3. Determine m so that h(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2204 (base 6) to base 9.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/6 + 2455703*t\/3 - 6030477224209\/6.\nAnswer: -(t - 2455703)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2 + 0 + 4 - 3 - 1 - 1 + 1 - 4 - 1 + 3 - 5 + 0 + 3 + (4 - 2 - 1)*(-4 + 0 + 2) - 4 - 2 + 5 + 2 - 2 + 2 - 4 - 1 + 2)*(1 + y - 1)*(y - 4 + 4).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 610442, 1214764, 1819072, 2423360, 3027622?\n\"Answer: -v**3 - v**2 + 604332*v + 6112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 0*k + 0 - 1\/60*k**5 - 1\/4*k**4 + 2\/3*k**3 + 3*k**2. Determine t(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 13. Let o be g(-10). Let a be (-2)\/o*6\/14. Let a*b + 2\/7*b**5 + 2\/7 - 4\/7*b**3 + 2\/7*b**4 - 4\/7*b**2 = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -1, 22, 3 in descending order.\nAnswer: 22, 3, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-525)\/(-63) - 2\/(-3). Suppose 3*x - h = 2*x. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqdq when four letters picked without replacement from {d: 6, q: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 21830 = -12*h. What are the prime factors of h?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121.294 * -3.\nAnswer: 363.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w - 34*w**4 + 546*w**3 - 546*w**3 - 16 wrt w?\nAnswer: -408*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s - 80*s - 43*s - 8874 = 52*s for s.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 - 112. Let c(a) = -538*a + 6. Is c(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -20*n**3 - 6*n**2 - 7*n + 11. Is r(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/17, -2\/5, -8, -1\/4, -0.05, 4 in descending order.\nAnswer: 4, 4\/17, -0.05, -1\/4, -2\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t. Let k(u) = -2*u - 326. Give v(k(h)).\nAnswer: -6*h - 978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1538 = 2*w - 232. Suppose -3*p + 0*p - 4*s = -w, -s = 0. Suppose -10*t + 15*t - p = 0. List the prime factors of t.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11241887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k + 0*k - 7*k)*(-10*k**3 + 33*k**3 + 10*k**3) to the form j + n*k**3 + x*k**2 + p*k**4 + c*k and give p.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -0.8, -0.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a + 30. Let m be q(-7). What is the third derivative of -14*r**5 + 18*r**m - 5*r**2 + 7*r**2 wrt r?\nAnswer: -840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 498*g - 47296. Give f(95).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107668 divided by -6?\nAnswer: -53834\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0740740526 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*t - 8. Solve -3*l + 0 = -t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, r: 1, m: 2, s: 1, i: 2, l: 2}. Give prob of picking 1 r and 1 m.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 3*l - l)*(3*l**3 - 2*l**3 - 2*l**3) + 0*l**4 + l**4 - 2*l**4 + l + l**4 - l + 4*l**3 + l**4 - 4*l**3.\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, w: 10}. Give prob of picking 2 w and 1 i.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 25*z**2 - 23*z - 4. Let g be w(24). What is the highest common divisor of 830 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-4)*s*s\/(s\/(s**(-11)*s))*(s**(-1\/5)\/s)\/(s\/s**8))**(-2\/7) assuming s is positive.\nAnswer: s**(62\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + c - 3. Let x be p(-6). Let o = x + -61. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10394 + 338098 + 14828 = 62*i. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:13 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10100021211111 (base 3) to base 2\nAnswer: -110110001111000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -192*k + 148*k**2 + 192*k - 1 - 260*k**2 - 246*k**2 in the form z*k**2 + n + c*k and give z.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 22 - 1092\/96.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -23. Let j be (-284)\/(-9)*s\/(-8). Let q = -59 - j. Sort -1, q, -0.2 in decreasing order.\nAnswer: q, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**4\/24 - m**3\/6 + 3*m**2\/2 - m. Let h(w) be the first derivative of j(w). Let s = 5 + -8. Calculate h(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 3*a - 5*a)*(4*a - 4*a + a)*(0 - 2 + 0).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**5 + 5*z**4 + 3*z**3 - 9*z**2 - 11*z - 1. Let i(p) = -p**4 + p**3 + p**2 + p + 1. Let c(m) = 5*i(m) + q(m). Find j such that c(j) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10511, -10502, -10499, -10502, -10511, -10526, -10547?\nAnswer: -10574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6966 + -3450. Suppose 16*b - 28*b = -l. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2. Let r(s) be the third derivative of s**4\/12 - s**2. What is x(r(h))?\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22414614 and 5730.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1449 and 252?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + f**2 - f - 1. Let m(q) = 8*q**3 - q**2 + q + 4. Determine m(w) + u(w).\nAnswer: 7*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 6 - 11. Is b > -4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*l, -5*u + 0*u + 5*l = -60. Let k = -3 - u. Is 7 a factor of (6 - 2)*(-4 - k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - s - s. Let q(j) = -30*j. Determine q(n(l)).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 157179017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 smaller than -721\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(2) - (sqrt(50) + 3 - sqrt(2))) + 1 + sqrt(242) + -1 + -2*((sqrt(48)\/sqrt(2))\/sqrt(12) + sqrt(2)))**2.\nAnswer: -246 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/325*(-115)\/(-32). Let n = 311\/52 + z. Find the common denominator of -43\/256 and n.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*g**4 - 482*g**3 + 2*g**2 + 13001*g.\nAnswer: 456*g - 2892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2000 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16313887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -33, 1 in ascending order.\nAnswer: -33, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76931 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 5) + 4 + (3 - -5) - 64.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18644838941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -17*p - 66. What is the remainder when 11 is divided by v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0299984 + 0.03. What is b rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 4*c**2 + c**2)*(-2*c**3 + 10*c**3 + 0*c**3 + 31*c**2 - 31*c**2 + 15*c**3 + (-2*c + 2*c + 2*c)*(0*c**2 + c**2 + 0*c**2) - c + c + 2*c**3).\nAnswer: -27*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 8) to base 12\nAnswer: -24a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1652 (base 7) to base 5\nAnswer: -10144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*z + 5 = 3, 0 = -2*z + 2. Suppose y*b - 3*b = 2. Let g(n) = b*n - n + 0*n. Let s(i) = -i**2. Determine s(g(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t - 27 + 50 - 7*t - 22*t - 9 - 6.\nAnswer: -48*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 11\/(-2) - 4. Which is smaller: 6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 636\/4240*15\/(-36).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 21904607\nAnswer: 1\/21904607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15a555 (base 14) to base 4\nAnswer: -2321021333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 634931*j**2 - j + 70474532 wrt j.\nAnswer: 1269862*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 4*u + 3. Let h = -12 + 8. Let y(d) = 2*d**2 + 5*d - 4. Let o(p) = h*y(p) - 5*b(p). What is the first derivative of o(f) wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -20.1. Which is smaller: 13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28525.4 + 23950. Round z to the nearest 100.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 4*d + 1. Let s be h(3). Let i be (-1)\/s - (-13)\/4. Let t = -12 + 17. Solve 4*l + 0*l - t*u = -9, i*u = 4*l - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 8*a - 140. Suppose -3*x = -52 - a. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhqvuh. Give prob of sequence qhu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, o: 2, z: 2, u: 2}. Give prob of sequence zzu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 3. Let m be b(-10). Let g = -28 - m. Suppose 2*a - 5*n - 30 = 0, n = -a - 0*n + 15. What is the greatest common divisor of a and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 9:41 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2 + 340*t - 984 = 0. Calculate t.\nAnswer: 3, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(4*(sqrt(300) + sqrt(300) + -3 + sqrt(300)) - sqrt(300))**2 - (4 + -2*(sqrt(300) + sqrt(300) + 3 + sqrt(300) + 4)).\nAnswer: -109320 + 7980*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 10. Let r(d) be the first derivative of -d**3\/3 - 5*d**2\/2 + 2*d - 1819. Calculate r(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5502*x**3 - 10869*x**3 + 6526*x**3 - 7147*x**3.\nAnswer: -16992*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -6*x - 950. Suppose 461 + x = 7*s. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*g**2)*(-g**2 - 4*g**2 + 6*g**2)*(7 - 6 + 3).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*g - 5*g = 0. Factor -4\/3*i**2 + g - 4\/3*i**4 + 1\/3*i + 2*i**3 + 1\/3*i**5.\nAnswer: i*(i - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, q: 3, x: 1, p: 1, z: 3}. Give prob of picking 2 q.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*m = -18, -3*m = 2*f + 2*m - 62. Suppose -4*n - f = 34. Let l be (-15)\/3*(-2)\/n. What is the second biggest value in l, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -216962 and -216985 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/431260 and -11\/172504.\nAnswer: 862520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17106711*k**4 - 29616989 with respect to k.\nAnswer: 68426844*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 2\/15, 3, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 3)*6*-5)**2.\nAnswer: 54000*sqrt(19) + 1718100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -291, -433, -575, -717?\nAnswer: -859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 364841579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/(48\/3)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 121, 116, 111, 106, 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -361\/21 - -52\/3. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**7\/280 + w**5\/30 + 2*w**3\/3 + 4. Let k(q) be the third derivative of j(q). Find the second derivative of k(a) wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*s + 3116 + 3964. Is s a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 40. Let c(m) = m + 48. Let l(i) = -5*c(i) - 6*j(i). Let f(r) = -436*r. Calculate f(l(q)).\nAnswer: -436*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-98))\/((4029\/(-51))\/553)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(2\/5)\/d)\/d)\/(d*d*((d*d**1)\/d)\/d))\/(d\/d**(1\/2)*d**(-7\/5)) assuming d is positive.\nAnswer: d**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1920.7116826991 from -0.3.\nAnswer: -1921.0116826991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + j)*(890 + 371 - 181 + 889 + 161).\nAnswer: 2130*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sggsg. Give prob of sequence gs.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 4*v + 5. Let s be q(4). Suppose -s*u = -2*u - 60. Let g = 401 + -401.2. What is the second biggest value in 3\/5, u, g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**3 - 4*z + 5. Let v(o) = -13*o**3 + 9*o - 11. Give 7*j(t) + 3*v(t).\nAnswer: 10*t**3 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/327454766 and -73\/12.\nAnswer: 1964728596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13869, 27739, 41609?\nAnswer: 55479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 722519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*w - 44, 0 = d + 4*d + 3*w - 67. Calculate the greatest common divisor of d and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-24)*(0 + 1 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -r + 2*n - 0, -54*n - 40 = -67*n + 53*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + 4*d - 203 + 6*d**3 + 179 - 3*d**3 in the form w*d**3 + j*d + o*d**2 + m and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203238141 to the nearest integer?\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - -4) + (10 - (17 + -7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25254 + 25346. Calculate the lowest common multiple of 207 and d.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2067302 and 6445118.\nAnswer: 109567006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 9*k = -5*k + 422, 0 = 2*r - 5*k - 417. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)*2)\/sqrt(6))\/(sqrt(16)\/(sqrt(16)\/sqrt(4))) + 2)**2.\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 284466102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - 41 - l**3 + 2*l**3 + l**3.\nAnswer: 5*l**3 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -0.043.\nAnswer: 11.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241377, -241342, -241309, -241278, -241249, -241222?\nAnswer: -241197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+0.0961\nAnswer: 0.1961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252787 (base 9) to base 14.\nAnswer: 3da91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, -4\/7, 0.5, -1\/9, 2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181 by 692.\nAnswer: -181\/692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53504544 - -3?\nAnswer: -53504541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 - 11*x**4 - 15*x**4)*(-149 + 21 - 6 + 2*x).\nAnswer: -58*x**5 + 3886*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 568284.1m to centimeters.\nAnswer: 56828410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + -3.93. Which is the biggest value? (a) n (b) 2\/17 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 9*v**2 + 10*v + 22. What is the lowest common multiple of k(10) and 80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 2. Let k(o) = o + 1. Suppose 0 = -4*n + 22 - 34. Calculate n*i(z) - 4*k(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-4)*17\/884*39?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32023 - -233030201?\nAnswer: 233122230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*r + 3*t - 195, -2*r + 95 = 5*t. Is (-2)\/3 + r\/9 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5 - 35*s**4 + 6690*s**3 + 109340*s**2 - 26680*s - 436800 = 0. What is s?\nAnswer: -26, -21, -2, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/(-110)*20\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(1 + 0 + 4\/(-8)). Let p(v) = 3*v**2 - v + 1. Calculate p(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -520, -2117, -4794, -8551, -13388?\n\"Answer: -540*x**2 + 23*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/14)\/((-111)\/(-1554)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 7*z + 26, 4*o - 4*z = 2*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69279 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(432) + 0 + 5 - (sqrt(432) + 1*sqrt(432)*3))**2.\nAnswer: -360*sqrt(3) + 3917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 7*z**2 - 17*z + 9. Let d be y(-9). Put d, -6, 2 in ascending order.\nAnswer: -6, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201 by -5.\nAnswer: 201\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 - 624 + 408 = 59*t. Let z = -0.3 - 0.2. What is the biggest value in z, t, -5, 2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 3. Let h be ((-7)\/3)\/((-3)\/(-9)). Let w be b(h). Let k(v) = 35*v + 10675. Let n be k(-305). Solve n = 2*i - w*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 + 34 - 2*m**3 + m**3 - m + 14*m**2. Let q be x(17). Solve 3*a - 3*o = 6, -4*a - 4*o + q = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105955789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w. Let b(r) = -r**3 + 7*r**2 + 8*r + 3. Let m be b(8). Let v be 6 + (m + -9 - -3). Let d(y) = 7*y. Determine v*d(t) - 5*k(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1)\/1*(-34 + 39). Let n be 3*(39\/6 + x)*22. Suppose 0 = -7*w + 4*w + 27. What is the highest common factor of n and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = i + j, -j = -4*i + 4. Is 80 + -1 - i\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*c - 11*c - 47*c + 11*c - 16*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 10*g**2 - 2*g. Let a(c) = 11*c**2 + 7*c - 7. Let s(u) = -3*u**2 - 2*u + 2. Suppose 51 = -9*h + 177. Let v(d) = h*s(d) + 4*a(d). Give k(v(t)).\nAnswer: 40*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3827, -3828, -3829, -3830?\nAnswer: -3831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**3\/3 - r**2 - 4*r - 63. Determine n(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*p - 2521 = 3*h, 4185 = 5*h + 5*p. Suppose 0 = 4*n + 219 - h. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*v + 907*r - 908*r + 46 + 36, -r = 2*v - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 3476.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 5*m. Let o be f(0). Let n(j) be the third derivative of 4*j**2 + o*j**3 + 0*j + 0 - 1\/12*j**4. Let u(x) = 2*x. Give n(u(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1447, -3103, -4765, -6433, -8107?\n\"Answer: -3*r**2 - 1647*r + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwttwwttwtwww. Give prob of sequence tt.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*y + 194*y = 1122. Is -117 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 9 = 3*z - 2*b, -z + 5*b = 3015 - 3039 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 11:37 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 137845321 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 501153092 and 4532.\nAnswer: 4532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -163, 5, 0.4, 1.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -151.12, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -450, -559, -668, -777, -886?\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*t + 8. Let g = t - 2. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1 = 2*m - 2, 5*m = -4*i + 14. Suppose 8 = q - 4*w, -2*w + 4*w - 10 = -3*q. Suppose -q*d + m*d + 1366 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + -6 + (-5 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.93 + 0.07. Let d = 0.11 - 5.11. Put 4, d, t in descending order.\nAnswer: t, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 + 0.6. Let x = 1878 - 1651.4. Let y = x + -227. Sort 1\/4, -1\/6, q, y in increasing order.\nAnswer: q, y, -1\/6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 19*t**2 + 3*t + 5. Let k(p) = 28*p**2 + 5*p + 8. Suppose -4*q + 2*s = 22, 14 = -5*s - 11. Calculate q*j(b) + 5*k(b).\nAnswer: -12*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (7 - 0 - (-14 - -28 - -10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-2)\/(24\/(-9))). Let u = i - -12. Solve 2*c - 4*v - u = 0, -3*c + 10 = 2*v - 7*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417667?\nAnswer: 41, 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -7\/2*m**2 - 4 - 1\/80*m**5 + 1\/8*m**3 + 0*m - 1\/480*m**6 + 1\/96*m**4. Let g(t) be the second derivative of y(t). Factor g(r).\nAnswer: -(r - 1)*(r + 1)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2011733 is divided by 463?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3233410 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1, -106, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/336 - -2*16\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 775053*d - 12401104.\nAnswer: (d - 775069)*(d + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 517 - 520. Let h be (-2 - 1)*1 - -2. Let s be (1 - (h - 0)) + -2. Is n >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/15)*h)\/(h*h\/(h*h*h**(2\/3)*h)))\/(h**(1\/6)*h*h\/(h*h**(2\/27))) assuming h is positive.\nAnswer: h**(389\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -14093.\nAnswer: -3\/14093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 3.9. Let k = h - 4. Which is the closest to k? (a) 2\/9 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34352418 a multiple of 911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 2*g**2 + g + 4. Let p be q(-2). Which is the second smallest value? (a) p (b) -4 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 286*t - 6535. Calculate w(23).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**4\/3 - 3*b. Let t be 270\/9 + 1*3. Let r(y) = t + 6*y - 2*y - 33. Calculate r(d(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/129399 smaller than 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.65497t?\nAnswer: 6654970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**5 - a**4 + 30460*a**3 - 916*a**2 - 6 wrt a.\nAnswer: 180*a**2 - 24*a + 182760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3974?\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*p - 25 = 0, -3*x = 4*p + 20 - 0. Suppose 11*t - 7*t - 6252 = x. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 2, u: 2}. Give prob of sequence llu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7866 - -7466.1. Let f = 206.1 + z. Let u = -173 - f. Round u to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -2*m**2 - 54. Let q(u) = -16*u. Determine l(q(p)).\nAnswer: 64*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 5*f - 2. Determine a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 191663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 719146*z + 129292742329.\nAnswer: (z + 359573)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((5*(sqrt(80)*-2 - sqrt(240)\/(2*sqrt(12))))\/(1*(sqrt(100) - -6*-1*sqrt(100))))**2.\nAnswer: 243\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1140 - -4?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i - 37*i + 48*i + 497*i**3 to the form z*i**3 + m*i + v + h*i**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/50*-43*-1 and -15\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-48)*40\/(-50)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64953258*w = -64953239*w + 1045 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1546 divided by 1918?\nAnswer: -773\/959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5, 3*h + 3 = -2*x + 5*x. Let g(l) = l - 1. Let q be g(0). Put -3, h, 2, q in ascending order.\nAnswer: -3, h, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 52\/2879 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 + p. Let g(o) = -o**4 + 8*o**3 - 9*o**2 + 6*o. Let t(j) = g(j) - 4*i(j). Factor t(d).\nAnswer: -d*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2724 and 172974.\nAnswer: 345948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z = -32. Suppose 5*q + 5*r - 23 - 7 = 0, 5*q = -3*r + 28. Sort q, 2, z in decreasing order.\nAnswer: z, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49902 is divided by 4901.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, l: 3, p: 1}. Give prob of sequence lwpl.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 4f?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**5 + 52*s**4 - 132*s**3 - 180*s**2 = 0.\nAnswer: -15, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a2ac (base 13) in base 8?\nAnswer: -233324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 185\/3 - 61. Which is the nearest to 2? (a) 2\/5 (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {i: 3, j: 4, a: 2, o: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2303)\/(-126)*10\/(-8). Let k = 101\/9 + x. What is the common denominator of -63\/16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s**3 - 4*s**2 + 9*s + 4. Let v(a) = -13*a**3 + 5 + 1 + 4*a - 6*a**2 + 0*a**2 + 9*a. Let n(o) = -5*v(o) + 7*z(o). Determine p so that n(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.4 (b) 3\/2 (c) -183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 11:34 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4cc (base 14) to base 3\nAnswer: -1022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 310. Let o be (-10)\/15*w - (-3)\/1. Round o to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 2*n**2 - n. Let p be s(-1). Sort p, 10, 3.\nAnswer: p, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*g = -3, 5*w + 2*g = 4*w - 7. Suppose 6 = -x + w*x. Let c = -44 + 47. Solve 0 = x*h + 5*n + c, 0 = -4*h - h - 3*n - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**(-2\/51))**(-5\/8) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26\/7805 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476445102.\nAnswer: 2, 3, 7, 19, 597049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 x when three letters picked without replacement from {e: 1, g: 4, b: 2, s: 3, x: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 - 0.120019. What is i rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62 and 33.\nAnswer: -2046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 36511488162 and -287.\nAnswer: 36511487875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 65.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 25103?\nAnswer: -7530.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96165 and 4896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -48*244.43179\nAnswer: -11732.72592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 21. Calculate the common denominator of 93\/44 and z + 13*(-4)\/128*6.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + u - 156*u**3 - 3*u + 7*u**4 + 157*u**3 to the form g*u + f*u**4 + w + j*u**2 + v*u**3 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + 62*o**2 + 5*o**3 + 249 + 7*o**2 - 249 to n*o**3 + c*o + k*o**2 + z and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -1084, -2327, -4068, -6307?\nAnswer: -9044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -278e + 96eb?\nAnswer: 6e5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23841, 17782, 7683, -6456, -24635?\n\"Answer: -2020*w**2 + w + 25860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 9 = -2*y, -5*i + 4 = -2*y. Suppose i = g - 1. Calculate the lowest common multiple of 27 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8651, 17102, 25553, 34004, 42455?\n\"Answer: 8451*a + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7))**(-1\/13)*(u**(-3)\/u*u)\/u*u*u**0)**(-1\/4) assuming u is positive.\nAnswer: u**(275\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7433.\nAnswer: 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2628, 21216, 71680, 169962, 332004, 573748, 911136?\nAnswer: 1360110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7162*k**4 - k**2 + 8556 with respect to k.\nAnswer: 28648*k**3 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 - 8 = 0. Let u = -51 - -50. What is the nearest to u in 0, -3, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.13 + 0.07. Let d = -1.2 + s. Let y = d + -5. Which is the biggest value? (a) y (b) 0.4 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2*(r*r*r*r\/r**(-10\/7)*r)\/r)\/(r**3)**6 assuming r is positive.\nAnswer: r**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = y - 9 - 6, -y - 37 = -3*j. What is the remainder when 32 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 10. What is u(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-32))**(-33) assuming p is positive.\nAnswer: p**1056","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 16.73, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49615, 99234, 148855, 198478?\nAnswer: 248103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 6) in base 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 0 - (109 - 96)) + (-2 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 33. Suppose 4*n + n - 280 = 0. What is the highest common divisor of h and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k - 916 = 0. Suppose k - 24 = 5*a. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2790 - -2788. Put 3, -12, -3, b in ascending order.\nAnswer: -12, -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 450*g**2 - 32. Let v(a) = 3*a. Give h(v(f)).\nAnswer: 4050*f**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/15 + 6*z**2. Suppose 4*l - 8*l = 12. Let w be (-6)\/4*2\/l. Determine g(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.131728 * -44.8\nAnswer: -5.9014144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 15*z + 42. Determine h(-8).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**2 + 1095*w + 3. Let y(c) = 5*c**2 + 1090*c + 2. Determine 4*r(h) - 5*y(h).\nAnswer: -h**2 - 1070*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/24*(-2)\/3. Let t = -0.054 + -1.946. Which is the second biggest value? (a) g (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - z + 2. Suppose -x - 6 = -3*b, 0 = -4*b - 2*x + 18. What is a(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*z**5 - 45*z**4 + 168*z**3 + 441*z**2 - 696*z + 144 = 0. What is z?\nAnswer: -4, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q + 8. Let u(b) = 6 + q*b**2 + 3*b**3 - 2*b + 0*b - 5. Suppose 0 = 5*w - w - 4. Calculate u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s - 6*s. Let k = 39 - -27. Suppose 4*w + k = 50. What is the nearest to s in -0.5, 2\/5, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4289 divided by -2?\nAnswer: -4289\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.109 - 2.911. Let s = 1.02 + -1. Let d = s + f. Which is the biggest value? (a) -0.1 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + f**2 + 4*f. Let h = -22 - -25. What is the remainder when l(h) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170668 is divided by 64.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 69, 124, 201, 306?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let c(p) = -p - 27. Let g be c(-29). Let v(l) = 92*l**g - 7*l**2 + 7*l**2 + 66*l**2. What is w(v(m))?\nAnswer: -158*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 78*v + 12 = 0, -3*z = -1451*v + 1452*v + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -234, -233, -234, -237?\n\"Answer: -c**2 + 4*c - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82410.\nAnswer: 2, 3, 5, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 29, -5, 346, -3 in descending order.\nAnswer: 346, 29, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 2:45 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*(-140)\/63?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 42. Calculate the highest common divisor of 28 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g + 71. Calculate b(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 6275\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*p**4 + 7554*p**3*z - 2553*z - 26 wrt p?\nAnswer: 48*p**3 + 22662*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, 10 in descending order.\nAnswer: 10, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061355.\nAnswer: 3, 5, 173, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21189 is divided by 1323?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -136*w + w**4 - 5*w**3 + 6*w**3 + 49*w + 14 + 67*w as z*w**3 + h*w**2 + m*w**4 + t + p*w and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0265239 rounded to 3 dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b9 + -2?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 - 5*h - 5. Let s(m) = -m**2 + m + 1. Let r(j) = n(j) + 5*s(j). Let g(x) be the first derivative of 1 + 0*x - 3\/2*x**2. Give g(r(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 769.99999844 - 770. What is t rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166 times -3.08\nAnswer: 511.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 - (-2 - -2). Suppose -3*y - 2*y + 11 = 2*i, -1 = -3*y - 4*i. Let l be 2\/y + 65\/15. What is the biggest value in 1\/5, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t + 42. Let k be (-38)\/t + 12\/42. Solve 16 = 3*j - 2*j + k*v, 3*v - 20 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1135, -1228, -1375, -1570, -1807?\n\"Answer: y**3 - 33*y**2 - y - 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 14*n - 1. Let l be h(-1). Let v(z) = -z**3 - 15*z**2 - 2*z - 16. Let o be v(l). Let j = o + -20. Let c(s) = s**2 + 6*s. Give c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 37*q - 831153 = 7*j, 0 = -q + 4*j + 415574. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeeeeeeeeeeqeeqe. What is prob of picking 2 q?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*51\/(-170)*(4\/(-170))\/((-6)\/10).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Suppose -l + r*k = -24, l = 3*k + 43 - 15. Let m = l + -9. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-56)\/(-32))\/(2\/(-80)*-2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83.98 + -83.68. Which is the fifth biggest value? (a) o (b) 0.21 (c) -5\/2 (d) 1\/2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 1. Let m(o) = o**3 - 3*o**2 + o - 2. Let q(j) = -6*l(j) + m(j). Let g = -6 - -15. Let z be q(g). Solve -f + z = 2*x - 8, 15 = 3*f + 2*x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 69.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + p - 9 = 0, 2*y + 2*y = -5*p + 27. Suppose -i - y*n + 0*n + 2794 = 0, 0 = -2*i + 4*n + 5558. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 10, 20, 50, 106?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + ((-16)\/18 - (-592)\/(-17316)).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 89*a + 19. Let c be u(-4). List the prime factors of c\/(-2) - 1\/2.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (168\/(-70))\/((-4)\/10). Let l be 273\/(-49) + c + (-3)\/7. Let r = 781\/54509 - 2\/599. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 494 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 + 1)*(2 + 1 - 2) - 1 + 2 + 2)*(3*k - 4*k + 0*k)*(7*k - 2*k + 12*k) to h*k + d*k**2 + q and give d.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - 0. Let i = -2.8 + 3. Let g = 64615 - 64615. Which is the nearest to h? (a) i (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -27. Let s = 0.2 - -0.8. What is the closest to -0.1 in s, z, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 6) + (-694 - -2). Round f to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -140, -327, -590?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/3 (b) 1\/4 (c) -3 (d) -406\/23 (e) -0.03 (f) 7\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 14*o**2 - 13*o - 2. Let t be p(7). Let y = t + -327. Suppose y + 109 = 5*s. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8542219?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-112)\/(-315) + (-8)\/10?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 21*i + 128. What is d(7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 7*t + 6. Let k be 4 + (1 + -3)\/2. Let g be 3 + -4 - (k - 22). Let h = -24 + g. What is a(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 7 + 0)*(-1 - 3 + 3)*(0 + 1 + 1)*(-3*i + 0*i + 0*i) as f*i + o and give f.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/7))**(-5\/17)*(z\/z**(-2))\/z**4)\/((((z\/z**1*z)\/z)\/z**5)\/(z**(-5)*z\/z**(-5)*z*z)) assuming z is positive.\nAnswer: z**(788\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 8*f**2 - 10*f + 16. Suppose -163*n + 3 = -q - 161*n, 18 = 4*q - 3*n. Give r(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, e: 8, k: 5, b: 1}. Give prob of picking 3 k and 1 c.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3346, 6692, 10038?\n\"Answer: 3346*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 44*u - u**3 + 0*u**2 + 0*u**2 - 45*u. Let b be w(1). Which is greater: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*w - 2318 = 0, 3*k - 2317 = -0*w + 5*w. List the prime factors of k.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253486 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -435*k + 3626*k - 239325 for k.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-14)*(-21)\/6. Let j(n) = 14*n + 8. List the prime factors of j(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 22*y. Let q be g(22). Suppose q = 9*u - 22 - 14. What is the nearest to 1 in u, -1\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqaqmnri. Give prob of picking 1 a and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 715 and 1573?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(3*q + 2*q + 9*q)*((3*q - 3*q - 2*q)*(-1 + 1 - 2) + 0*q - 3*q + 0*q).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 365403000 rounded to the nearest 1000000?\nAnswer: 365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/3 + 93 + 0 + -2. Calculate the greatest common factor of a and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-168))\/(6\/(-28)))\/(240\/1800).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -362, -718, -1068, -1412, -1750, -2082?\nAnswer: -2408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66238962151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - y + 124 = 0, 80 = -224*k + 227*k + 2*y for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 574 + 156. List the prime factors of d.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22693, -22694, -22695, -22696, -22697, -22698?\nAnswer: -22699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**2 - 3*o - 1. Let g(y) = -10*y + 133*y**2 - 9 - 132*y**2 + 1. Let b be g(11). What is w(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24784086733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575 and 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8\/31, 3, 0.3, 0.4, -1, -2\/15?\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 865469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2266*q + 880 = -2376*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 25*s + 29*s - 2 + 1 - 57*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2442 = -0*l - 11*l. Calculate the highest common divisor of l and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, -0.07, 43, -7\/2 in ascending order.\nAnswer: -7\/2, -0.07, 0.5, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and 1382.1.\nAnswer: -207.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(2\/5 - 0). Let d(n) be the third derivative of 0*n + 1\/120*n**6 - 1\/60*n**5 + 0 - 1\/8*n**4 - 9*n**2 - 1\/3*n**3. What is d(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -101*j**2 + 7 - 9 + 102*j**2 - 6*j. What is t(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7112324 is divided by 2035.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*v - 4074 + 4074 in the form k + m*v and give m.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 161886 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*u - 31 = 6*i, -3*u = -i - 16. Does -1 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.7187 or 15\/4?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(-2*sqrt(2057))**2*3*6.\nAnswer: -1332936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 785\/4, -21, -1?\nAnswer: 785\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (38 + -35) - (-2 + 177\/(-19))\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*v = 308, 4*x - 5*v - 12 - 600 = 0. Is 4\/20 - x\/(-10) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/1 + (-2 - -2). Solve 3*x + 0*y + 7 = y, d*y = -3*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 145 = 92*c + 1971 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5. Let h be (c\/1)\/((-18)\/9). Suppose 5*o - 10 = -0. Solve -n = 5*g - 0*n + 15, o*g + 2*n + 6 = h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z + 86. Give q(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 27. Give d(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**2 - 21*t**2 + 8*t**2 to v + y*t + b*t**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 19 + 39)*(5*y**3 - 3*y**3 + 6*y**5 - 2*y**5).\nAnswer: 88*y**5 + 44*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000099014 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -c + 5*c + 4, -2*p - 5*c = -18. What is the tens digit of ((-258)\/p)\/(5 + (-55)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7271.3753 * -0.5\nAnswer: -3635.68765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2)*x)\/x**(3\/5)*x**(-1\/7)*x**(-6))**(3\/34) assuming x is positive.\nAnswer: x**(-1311\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2.1, 3, 20\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*d = -443*d - 112 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 23 = o, -23787*l = -23786*l - 3*o + 13 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1353.2 and -30.39.\nAnswer: 1322.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(6\/11)*o\/o**(-6\/17) assuming o is positive.\nAnswer: o**(355\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15060, -60422, -136024, -241866?\n\"Answer: -15120*m**2 - 2*m + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211044276 to the power of 1\/3, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/383741?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*v + 9, 2*j - 2*v - 2 = 0. Solve 2*s = -2 - 2, -2*a = -j*s - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1516*c - 1489*c - 253*c + 1102*c.\nAnswer: -2156*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1792135 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - 312b85?\nAnswer: -312b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15711085141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3135, 12531, 28237, 50259, 78603?\nAnswer: 113275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.130112493 to three dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -193*g**2 + 9815*g - 8261. Give l(50).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88673 and 66532752?\nAnswer: 4667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7588236 at most as big as -7588233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d**2. Let k(h) = -436*h**2 + 1. Determine k(q(a)).\nAnswer: -27904*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/5*(-20)\/(-6). Let v be c\/(-14) + 12\/7. Find the third derivative of -k**2 + 0*k**2 + v - 2 + 2*k**5 wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 13 - 14 - l + 5*l + 6*l**2. Calculate the remainder when 8 is divided by b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12119, -48470, -109055, -193874, -302927, -436214, -593735?\nAnswer: -775490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5016, 4552, 3732, 2556, 1024, -864?\n\"Answer: -178*g**2 + 70*g + 5124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 14*h**6\/15 - 5*h**3\/2 - 3*h**2\/2 - 19*h. Find the second derivative of l(u) wrt u.\nAnswer: 336*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*v + 729 = -231*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3111 is divided by 258.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t. Let k(l) = -65758*l. Give k(g(j)).\nAnswer: 197274*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 16 = -j, -5*q - 36 - 4 = -4*j. Let t = q + 13. Suppose 8 + 42 = t*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1687.8 - 1687.796898. Round n to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 q when three letters picked without replacement from {m: 7, e: 1, o: 2, q: 10}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 23*m**2 - 2*m + 4. Let y(s) = -63*s**2 + 7*s - 11. Let j(v) = 11*w(v) + 4*y(v). Suppose 6*x = x - 30. What is j(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6215706964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -103*-2\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, -3\/137, -270?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwp when three letters picked without replacement from kpkwwkwwwkwwwkwp.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4\/5, 5, -190.74?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1740 = -3*m, 201*m - 198*m - 3*a - 1758 = 0. Solve 638 - m = -11*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 13760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (11 + -12 + -4 - -12) - -23?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/15*((-3515)\/(-37))\/95.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a centimeter in micrometers?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/2039?\nAnswer: -4\/2039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32494, 32506, 32518, 32530?\n\"Answer: 12*h + 32482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -152 + 46287?\nAnswer: 46135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - k**2 + 5. Let b be 2\/4*(1 + -1). Calculate the least common multiple of 36\/10 + 6\/15 and l(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*l - 4 - 22, -3*a - l = -14. Is 4 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -4.5. Let r = m - -23.8. Let y = 19.6 - r. What is the third biggest value in 2\/11, y, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6699 + 119*k**2 - 28957168*k - 1458 + 2*k**3 + 28957174*k with respect to k.\nAnswer: 6*k**2 + 238*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:49 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.77 * 4.\nAnswer: -155.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -3*g + 7, 25 = 2*j + 3*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5789 + -5788.997607. Round s to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7517545 + -8275356.\nAnswer: -757811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/7)\/(3*(492\/6300)\/41).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/4 of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5920*k**3 - 18055*k**2 - 885*k = 0.\nAnswer: -3, -59\/1184, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + -5 - -40) + -4 - -44 - (1 + -6).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/304 + (-33111)\/(-57). Let h = 4693\/8 - o. Calculate the common denominator of h and -7\/136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*c = -8, 0 = 4*j + 3*c + 192 - 196. Sort 1711, 3, j.\nAnswer: 3, j, 1711","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -11*y + 266. What is the derivative of 2 + 3 + 16*z - y*z wrt z?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 437 - 200. Find the second derivative of -2 - 4*r - 32*r**2 + 66*r**3 + 32*r**2 - 5*r - b*r**3 wrt r.\nAnswer: -1026*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17760 and 624?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + l + 1. Let y(b) = 104*b**2 - 130*b - 130. Calculate -130*t(k) - y(k).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 820374?\nAnswer: 9024114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t + 2775 = -36*t. Is -35 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*b + s, 98*b - 12*s + 209 = 97*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 8:09 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138668480 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 232 and 2015068.\nAnswer: 116873944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3))**(-15)*(i**7)**(1\/4))**(-5) assuming i is positive.\nAnswer: i**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (9 - 9)) + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, s: 3, r: 1, g: 5}. What is prob of picking 4 j?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -583, -4, -165, 5 in increasing order.\nAnswer: -583, -165, -8, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 17*n + 29*n = 159, 22 = -2*r + 3*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let j(k) = -k - 2*k - 3*k. Let p(r) = -4*j(r) - 22*u(r). Let c(v) = -3*v. Determine p(c(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 31 = p, 0*p - 3*p = -3*b + 33. Let r = p - -2. Which is bigger: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 + -0.1. Let g = f + 0.31. Which is the closest to 2\/7? (a) 1\/4 (b) g (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2aa (base 14) to base 6\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4156*k - 5690 + 5690 - 977*k.\nAnswer: 3179*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (879\/4102)\/(3\/(-462)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = c + 8, -3*p = -5*c - 19. Let r be 1\/p*(1 - 2\/(-1)). Let o(s) = s**2 + 4*s + 2. Let i be o(-3). Is i at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -11 - 3*z**2 + 2*z**2 + 13. Let o(c) = 6*c**2 - 11. Determine -11*n(i) - 2*o(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6263498 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: Simplify d**(-4)\/d**(-20)*(d*d**9\/d*d)\/(d\/((((d*d**(-2\/9)\/d)\/d)\/d)\/d)) assuming d is positive.\nAnswer: d**(196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**2)\/d**(2\/5)*d**5\/d**(-3\/2)*(d*d*d\/d**(2\/5)*d)**(-1\/2)\/(d\/(d**(1\/4)\/d))**(3\/31) assuming d is positive.\nAnswer: d**(1941\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 8. Let p be 4\/(-14) - (-457)\/r. Let d = -25 - -38. What is the highest common factor of p and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/30 - 87318\/(-1470).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.72 + 1.9. Let z = -0.44 + b. What is z rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x - 11*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2351556 (base 9) in base 3?\nAnswer: -2101201121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11865 (b) 11 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 9*u**2 - 9*u - 5. Let o be y(-8). Find the second derivative of -3*l + 3 + 2*l**o - 6*l**3 - 3 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.3 - -0.8. Let p = 11.01 + -0.01. Let d = g + p. What is d rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 7*h - 59. What is o(10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/15)\/(4\/10). Suppose 3*p - 31 = q*m, -3*p + 0*m + 36 = -3*m. What is the second derivative of -3*z - 7 + p - 2*z**2 + 4*z**2 wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271346?\nAnswer: 2, 3, 211891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 23, 22, 21?\n\"Answer: -a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/5 + (-1)\/5. Let n = 107 - 104. Solve n*z + 6 = 0, w*q + 0*q = -2*z - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 10*s**2 + 9*s - 40. Let w be y(-8). Suppose -42 - 6 = -w*c. Determine z, given that -1\/2*z**c + 0*z**2 + 1\/2*z + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/9)\/(2\/12). What is the nearest to v in -0.1, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 7700?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 42?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227223.\nAnswer: 3, 25247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u. Let m(j) = j. Determine s(m(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dppdpdppjdp. What is prob of picking 3 d and 1 j?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -9*t + 52. What is h(15)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(-11*143\/(-121))*6\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 27478 = 5*v, 2840 = i + 3*v - 10921. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 19*g + 27. Let c be z(8). Suppose q + 17 = 4*d - d, 27 = 5*d - q. What is the second derivative of -2*s + 0*s - 3*s**2 + c*s + d*s wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j**3 + 6*j**2 - 9*j - 6. Let g(m) = -m**3 - m**2 + m + 1. Suppose 93 = 3*p + 21. Let h(n) = p*g(n) + 3*c(n). Factor h(k).\nAnswer: 3*(k - 2)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let t(u) = 630968*u. Give t(n(z)).\nAnswer: -630968*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -77*i**3 - 1. Let s be k(1). Let n = s + 166. Calculate the highest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/24)\/((-11)\/22)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*g + 44 = -3*a, -1 = 2*a - 5*g. Let w be (-36)\/a*-13*(-1 - -31). Let o = w + 2728. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**3\/2 + 3*t**2\/2 + 10*t. Let s be -6*(2\/(-1))\/(-4). Calculate the least common multiple of n(s) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 11*d + 2. List the prime factors of v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 8.5. Let a = 6.3 + -6. What is the closest to 1 in -4\/5, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120029 (base 11) to base 5\nAnswer: 22042424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 - 36*u - 21. What is the remainder when w(-15) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x - 7. Suppose 0 = -2*q - 3*d + 1, -5*q - 4*d - 11 = -d. Let y be f(q). Suppose g - y*g - 3*p + 1984 = 0, 3*g - 1491 = -3*p. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and -0.199?\nAnswer: -0.02786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 + -9.14. Let d = n + 10. Let m = 1.94 - 2. Is m at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 270672359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/4))**(-1\/21)\/((d**0\/d)\/d*(d\/(d*d*d*d*d**(-4))*d)\/d)*(((d*d**1)\/d)**(-23\/2))**(4\/13) assuming d is positive.\nAnswer: d**(-937\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -477486*r**2. Let h(d) = d**2. Calculate l(h(n)).\nAnswer: -477486*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3286 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: Find the first derivative of 2809402*g**3 - 34*g + 56592426.\nAnswer: 8428206*g**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from bmssbmbsmsbmmms?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -2*k - 3*y + 266, 2*y - 176 = -2*k. Suppose 7*g - k = 13*g. Let i = -11 - g. Solve 0 = -5*f - 4*a - 6, i*f + a + 7 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*j + 18. Suppose 2*w = j*w - 35. Solve -3*d - w = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 7*m**3\/6 - 5*m**2\/2 - 6*m. Let d(r) be the second derivative of -3*r + 11\/6*r**3 + 0 - 4*r**2. Determine 5*d(s) - 8*h(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022287 to five dps.\nAnswer: 0.00223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112120111 (base 4) to base 11.\nAnswer: -62966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 356325422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 3 + 6 - 9. Let o(k) = 3*k. Let j(w) = w. Let r(g) = -5*j(g) + o(g). Calculate r(b(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 - 3*o**2 + 5*o - 25. Let s be r(3). Let d = s + 507. Is 32 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186975 a multiple of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149.3 - -4.3. Let o = k + 145.1. Which is the closest to 1\/4? (a) 1\/5 (b) -0.8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 77533, -8, 5, -39 in descending order.\nAnswer: 77533, 5, -8, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1\/5, 2, 0, -259.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 2*b**2 + 3*b + 5. Let g(w) = w**3 + 4*w**2 + 3*w - 4. Let v be g(-4). Let m = v + 13. What are the prime factors of x(m)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09333134, 3, 4, -2\/5, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (190*m**2 + 196*m**2 - 6 - 385*m**2 + 3*m**3 - 3*m)*(10 - 9 + m - 5) to the form b*m + v*m**2 + o*m**3 + j + u*m**4 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*h + 4*i, 0*i + 8 = -4*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2 + 129*v + 246 = 0. What is v?\nAnswer: -41, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-944)\/240 - 250\/(-75). Which is the fourth biggest value? (a) k (b) -17 (c) -2 (d) -0.4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzf when three letters picked without replacement from zfzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122299.\nAnswer: 122299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169*f**5\/7 + 1313*f**4\/7 + 1808*f**3\/7 + 576*f**2\/7.\nAnswer: -f**2*(f - 9)*(13*f + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 247 + 10130562?\nAnswer: 10131031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-148)\/(-28) - 2\/7. Let x(n) = n**3 - 3*n**2 - 6*n + 4. Let s be x(b). Solve 4*c + s = -4*i - 0*c, 3*i = -4*c - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -52. What is the least common multiple of (-16)\/14*(-4 + (3 - 6)) and g?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 4:48 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a0 (base 16) to base 3.\nAnswer: -12211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10126 - 9965 = -16*a + 3*t, -2*a + 6*t = 5*t + 17 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from uummuxy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, 1\/5, -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1654 in 5, 51, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (19 - 41 - -18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4 = 4*j, -5*t - 3*j + 24 = -11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 2046 = 24*z - 92*z for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4*s + 25, -3*t + 46 = -2*s. Suppose -v - u - t = -1, -4 = -u. Let x = v + 37. What is the lowest common multiple of 3 and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20304 is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98322, -0.06, 0.6 in descending order.\nAnswer: 0.6, -0.06, -98322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10 - 3 + 10*n**3 + 12*n - 7 + 2*n as l + x*n + r*n**2 + s*n**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -25*i + 100. Let j be p(4). What is the fourth biggest value in 3\/2, -4, j, -1.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 44 = -42. Let q be g\/(-18) - (-591)\/27. What is the greatest common divisor of 242 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44\/57 + -2\/19. Suppose -8*b = -b. Suppose 2\/3*u**4 + 0 + 0*u**3 - x*u**2 + b*u = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*g - 44, 0 = -3*n + 24*g - 28*g + 56. What is the greatest common divisor of 96 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u**2 + 1849*u + 23653. What is o(-13)?\nAnswer: 1306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d. Suppose -3*g - 5*g + 160 = 0. Suppose 5*t = -4*v + 34, -2*v - 3*v + 5*t + g = 0. Let m(q) = -q + v*q - 6*q. Calculate m(r(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127308690*g**6 - g**2 + 92476793 wrt g.\nAnswer: 15277042800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35097208 and 248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -241\/113857 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/32 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115*b**2*h**5 + b**2*h**3 + 8*b**2*h**2 + b*h**2 + 7 wrt h?\nAnswer: -6900*b**2*h**2 + 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 17, 7, -29, -103, -227?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 69.25789?\nAnswer: 73.25789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3714+-10\nAnswer: 3704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = -2*x + 48, 3*q + x = 51. Put 1\/2, 3\/5, q in ascending order.\nAnswer: 1\/2, 3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9826 is divided by 228?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) - (((-2*sqrt(22))\/sqrt(11))**2 + sqrt(2)))) + 4.\nAnswer: sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s + 3. Let m(c) = 5*c. Let o(j) = 12*j. Let b(r) = -7*m(r) + 3*o(r). Give b(h(x)).\nAnswer: 9*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 6:14 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*k + 4, -2*k - 5*h = 3*k - 5. Suppose 3*i + 9 - 24 = k. Let l be ((-2208)\/80)\/(-46) - (-17)\/5. What is the smallest value in l, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*g + 2*a - 160, g + 3*a = -35. Let b = 1 - g. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5968)\/(-70))\/2 - -1. Let g = -191\/5 + f. Solve 30\/7*s**2 + g*s**3 + 2\/7*s + 2*s**4 - 4\/7 = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767714?\nAnswer: 2, 19, 89, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*((s**(-11)\/s)\/s)\/s*s)**(-5\/6)\/((s*(s*s**(-9)\/s)\/s)\/((s*s*s*s\/(s\/((((((s**12*s)\/s)\/s)\/s*s)\/s*s)\/s)*s)*s)\/s)) assuming s is positive.\nAnswer: s**(181\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + -2)*-1 + 0. Suppose p*f - 5 = 10. Find the third derivative of 215*s + f*s**3 - 215*s - 3*s**2 + 4*s**2 wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -2\/3, 1.9, 0.03?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 6*y**2 - 3*y - 21. Let z be h(-6). Is (z + (-34)\/(-4))*26 + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**3 - 29*d**2 - 70*d + 29. Calculate the remainder when 275 is divided by l(-4).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 523 - 341.2. Let y = r + -191.852. Let h = -10 - y. What is h rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4)*g**(-4\/3)*(g*g**5*g*g*g)**(-18\/13) assuming g is positive.\nAnswer: g**(-694\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -308.8651 to 1 dp.\nAnswer: -308.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 892804*n**3*p**6 - 56*n**3*p**2 + 2*n**2*p**2 + 2*n*p**2 - 454*n + p**6 - 2*p**2 wrt p.\nAnswer: 107136480*n**3*p**3 + 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 367465817?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 - 2110?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19916969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 226 by 6.\nAnswer: 113\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1158, -4436, -9898, -17538, -27350, -39328?\n\"Answer: i**3 - 1098*i**2 + 9*i - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -58*r - 1110. Let o(w) = 26*w + 556. Calculate -9*o(t) - 4*y(t).\nAnswer: -2*t - 564","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-6) + 6 + 15\/30 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 943784100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 80.991 * 0.4\nAnswer: 32.3964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1046 (c) 3 (d) 6 (e) -3 (f) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14 - (0 - 0)\/2. Suppose -q - 4*n + 9 = -16, -3*q + 2*n + 33 = 0. Suppose q*j - 7 = i*j. Put j, -2, 1 in increasing order.\nAnswer: j, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -16\/7?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/7*((-2268)\/(-312))\/27.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = c + 24, 0 = -c - 3*x - 30 - 4. Let w = -44 - c. Solve -10 = 3*y - w*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/(-9)*2*3. Let u be ((-4)\/(-6))\/((-5)\/((-30)\/(-4))). What is the hundreds digit of b\/21*((-2 - -87) + u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**5 + 0*f**5 - 3*f**5 - 6*f**5 + f**5 + 3*f**5 + 28*f**5 + 18*f**5 + 16*f**5 + (-5*f**4 - 6*f + 6*f)*(-5*f + f + 2*f).\nAnswer: 72*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*i - 79190, -5*g - 87317 = -3*i + 308689. Round g to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*a, -5*a - 2*z + 0*z + 4 = 0. Suppose -2*m + 3*h = -3*m + 10, a*h = -2*m + 16. What is the lowest common multiple of m and (1\/(-5))\/(2\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9798368 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7)*16660\/(-1020)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/5 + -3 + 33. Calculate the highest common factor of v and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, -6333, -17041, -32041, -51333?\nAnswer: -74917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-208)\/13)\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v)\/v**(-1\/4)*((v*v*v*v**(-1)\/v*v)\/v*v)**34 assuming v is positive.\nAnswer: v**(249\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165828 is divided by 1029?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k. Let y(p) = p**2 + 12*p - 11. Let a be y(-13). Let z(c) = -a + 25*c - 11 + 9 + 4. Determine z(q(s)).\nAnswer: -50*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -70642 (base 8) in base 11?\nAnswer: -1a946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5722 >= 5724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-23\/5)))\/x**(4\/15))\/(x*x**5)**(4\/17) assuming x is positive.\nAnswer: x**(149\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*x - 17, -6*c = -4*c + 2*x - 2. Suppose -3*w + 4*b + 10614 = -w, c*w - 2*b = 15925. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(0 + -1)\/(-1). Suppose s = c, 4*c - 2 = -r + c. Solve 2*k + d - 16 = -r*k, -11 = -5*k + d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyc when three letters picked without replacement from yrcrryycyy.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5624838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -5. Let q = -40399.99745 - -40402. Let u = g - q. Round u to 4 dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + ((sqrt(117) + -2)*-5)**2)*6.\nAnswer: -1800*sqrt(13) + 18174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*q = -39*q - 764. Suppose -145 = -16*n + q. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(117) + -3)**2*4 - (-1 + sqrt(117) + -3)).\nAnswer: -75*sqrt(13) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*k**2*t**2 - 2*k**2*t - 221*k**2 - 76*k*t**2 - 8*k - 3*t**2 - 2*t wrt k.\nAnswer: -18*t**2 - 4*t - 442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3145 + -3052. Calculate the remainder when 437 is divided by f.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -32, -5, -922, -4 in ascending order.\nAnswer: -922, -32, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 59 - 40 = 0. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - i**2 + 4*i - 7. Is 9 a factor of h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10802474.8 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0874946t to kilograms.\nAnswer: 87.4946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/(44\/22). Which is smaller: q or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccpccccppc. Give prob of sequence pcp.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(-1 + 4 - 4)*(1 - 2 - 1)*(45 + 6*v - 18 - 25) to the form g + h*v and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*o - 584 + 836 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110652*z - 110642*z - 5700 = 0. Calculate the remainder when z is divided by 170.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2324 + 1749 - 290)*(-1 + 8 - 3)*(-5 + 5 - 1)*(-d + 4*d - 5*d) as v + p*d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -236 - -239. Let c be ((-4)\/(-5))\/(2\/10). Factor -2\/3*h**c + 0*h**z + 0 + 4\/3*h + 2*h**2.\nAnswer: -2*h*(h - 2)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10663 (base 7) in base 11?\nAnswer: 2071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8334780 is divided by 401?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.4586 to two dps.\nAnswer: -52.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/6 - v**3\/2 + 9*v. Let z be o(2). Let b(w) = -w**3 - 1 + 15*w - 4*w**z + 9*w**2 - 16*w. What is b(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9164 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 148*w - 68*w + 920*w.\nAnswer: 1000*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/(d\/d**(-1)))\/(d*d**1)**(-36)*((d*d**(1\/4))**(-27))**(3\/16) assuming d is positive.\nAnswer: d**(3883\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 6 + -2 + 13 - (10 - 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 4, 2.26?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/936)\/((-10)\/(-16)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 3:03 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 539 - 5?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2016046\/79 + -25520. Calculate the common denominator of -17\/10 and s.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -33, -26, 6.\nAnswer: -33, -26, -5, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1212486.15 to the nearest ten thousand.\nAnswer: 1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 390 + -110. Suppose 0*d - 5*d + 105 = 0. List the prime factors of ((-45)\/(-12))\/(d\/s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - -1. Let u = -328.1 - -328. What is the smallest value in -1, 0.4, u, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -12 + 0 + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128 + 129. Let g be (-2 - -5096 - 9\/(-3))\/j. Find the third derivative of g*p**3 - 28*p**2 - 5097*p**3 + 15*p**5 wrt p.\nAnswer: 900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39324)\/1130 + ((-17)\/187 - (-12)\/(-110)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051457 is divided by 624.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:20 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1857 and 26.419?\nAnswer: -49060.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/147*1*(-225)\/300*518.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/183 - -8629\/732. Find the common denominator of 61\/24 + 1\/3 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-6) + (-16)\/(-8) + 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.366720859 to 5 dps.\nAnswer: -0.36672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 + 3 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + b - 52 = 71, 5*b = 15. Let o = 23 + d. What are the prime factors of 62 + o\/(2\/(-2))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -348, -676, -1106, -1638?\nAnswer: -2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(693\/(-18))*(-1)\/(-110)*-5.\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-18))\/(((-10)\/36)\/(-5)). Suppose -b*d = -3*d - 183. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 632, 634, 636?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 8*w + 8. Let c be o(-7). Let z = c - -6. Let s = 11 - z. Solve 3*r - 3 = 2*b - 24, -23 = -b + s*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -16) + (-2 + 1 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from xyxycyyhcyhy.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.3 - 5.30000616. Round h to 7 dps.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3 - 4. Suppose -c*q + 2*q = -35. Let s = 39 - 26. Calculate the remainder when s is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 19 = -15. Find the common denominator of ((-10)\/(-2))\/((-4)\/10) and (-7)\/((-36)\/30 + v).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + l**2 - 8*l + 8*l + 2*l - 3*l**4 + 1 - 2*l**4 in the form j*l**2 + s + q*l**4 + b*l + o*l**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1691128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 272437015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2119518 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 512*l**5\/3 + 47040*l**4 - 197870*l**3\/3 - 263880*l**2 + 104670*l - 9972 = 0. Calculate l.\nAnswer: -277, -2, 3\/16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56293674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 76+-0.03\nAnswer: 75.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1344424 + -24?\nAnswer: -1400003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 194.35, 7, -2 in ascending order.\nAnswer: -2, 5, 7, 194.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 - 130\/(-120). Which is the nearest to -3\/13? (a) -3\/5 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000191367 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 127 + 531 = -g, y + g = -80. Let b = -60 - y. What is the least common multiple of b and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5893 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: Let s be -2*((-489)\/(-18) - 2). Let o = s + 47. Is o less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185945 divided by 5\nAnswer: 37189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4540\/(-3632)*(-52)\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 4*v - 16, 0 = -g + 2*v + 114 - 108 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3999981 + -0.4. What is f rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(-1*sqrt(5) - sqrt(5))*2)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 28 + 26 = 0, t - 2*f = 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 8:19 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 262 and -5581?\nAnswer: -1462222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)\/(a**(1\/4)*a*a))\/((a**2\/a)\/a*(a\/a**(-1\/2)*a)\/a) assuming a is positive.\nAnswer: a**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -g - g + 12, 4*g + 3*k - 10 = 0. Let w be g - 3 - (-3 - 1). Suppose -w = 3*o - 32. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 26 = -h, 0 = -l + 3*h + h + 26. Suppose 4*r + 0*r - 8 = 0. Suppose u = r - 1. What is the smallest common multiple of l and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2808 and 3?\nAnswer: -8424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u - u**3 + 4*u + (5 + 1 + 0)*(u**3 - u**3 + 2*u**3) + 0*u**3 + u**3 - 2*u**3.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12830 + 12835. Solve 26*s = -2*f + 22*s + 8, 4*f - c = 3*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 14*x - 14. Let f be u(14). Let v(n) = n**2 + 13*n - 10. Let b be v(f). Solve -5*t + b = -1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 220, 2, -101 in descending order.\nAnswer: 220, 2, -4, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*y**4 - 19726*y**3 - 107205243*y**2 wrt y.\nAnswer: 2784*y - 118356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 - -127. Let q = -8 + 4. Let u = -0.8 - -0.4. Which is the closest to -1\/3? (a) q (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 211 + 214 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*f + 37 = 0, -3*q = -q - 4*f - 56. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -d - i, 4*i + 18 = 2*d + i. Calculate the remainder when -6 + (-4680)\/(-35) + (18\/14 - 1) is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.22 - -1.68. Let j = v + -1.900052. What is j rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(125) - sqrt(5) - sqrt(5)) + ((2*sqrt(20))\/sqrt(4) - sqrt(5)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(125)*3)**2 - (sqrt(5) - -2*(-1*sqrt(5) - sqrt(5)) - -4*(sqrt(5) - 1*sqrt(5)))**2.\nAnswer: 6705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 7. Let o be m(-6). Suppose -5*p = z - 14, -3*p = 5*z - 5*p - 70. Let n = z + o. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13666403 (base 7) to base 5\nAnswer: 312401440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.2336 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7602227531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.7 + -7. What is the third smallest value in 1, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 4:44 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1727740569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 - 0.04. Let k = i - 2.07. Let y = 2 + -1. Which is the closest to y? (a) k (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrrrrrhrvvhrmvrrrvh. What is prob of sequence vhr?\nAnswer: 11\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -69923*p + 3496151. Calculate u(50).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 - 8*b.\nAnswer: 2*b*(b - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1150 + 1163 - 5*q - 2323)*(5*q**3 - 4*q**3 + q**3).\nAnswer: -10*q**4 - 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/6 - -1\/12. Which is the nearest to 2? (a) o (b) -3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348305 is divided by 1095?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10489969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*r**2 + 44615*r + 12750.\nAnswer: -5*(r - 1275)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -103667 or -310997\/3?\nAnswer: -310997\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2109891, 2109893, 2109895, 2109897, 2109899?\nAnswer: 2109901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - (sqrt(1573) - 5*1*sqrt(1573))) + 3 - 2*3*1*sqrt(1573))**2*-3.\nAnswer: -4746 + 198*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1254 - 1258. Which is the smallest value? (a) -15 (b) 0.02 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1152?\nAnswer: -1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*f**2*j + 330888*c*f + c*j - 498*f**2 - 3810*f*j - 2 wrt c.\nAnswer: -f**2*j + 330888*f + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/5 + (3 - 2). Sort v, 9, 0 in decreasing order.\nAnswer: 9, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6239760\/7 greater than or equal to -891394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430351 (base 6) to base 4.\nAnswer: 20210323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -0.11 (c) -24 (d) -4 (e) 29\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 9 = 11. Let x be ((-4)\/(-3))\/(c\/45). Let g(m) = 2*m - x*m + 0*m. Let d(r) = r. Calculate g(d(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33042473 divided by 4.\nAnswer: 33042473\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (281725 - 60*a + 875*a - 281728)*(-2 + 2 - 2).\nAnswer: -1630*a + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38803173*g**4 - 23925989*g**2 wrt g.\nAnswer: 931276152*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 439219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 + 54*b**2 - 2*b + 86. Let g be o(27). Find the second derivative of -42*s + g*s + 65*s**2 + 98*s wrt s.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - (-34)\/(-6))*48\/(-64). Let q = -0.4 + 0.3. What is the nearest to q in -9, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 0 in increasing order.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 + -3.1. Which is the closest to 0.1? (a) n (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 15*t = 15. Let i(x) be the first derivative of -20\/3*x**3 + 5*x**2 + 1\/3*x**6 - 2*x**5 - 2*x - 3 + t*x**4. Factor i(c).\nAnswer: 2*(c - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 195, 197, 199, 201?\n\"Answer: 2*c + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 1, t: 4, d: 7}. Give prob of picking 1 t and 1 h.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 0, -5*r + 4*c - 8 = -9*r. Let q(g) = 8 + g**2 - 9*g - 11 - r*g**2. Let z be q(-8). Solve u + z = 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w - 10. Let x be f(-9). Suppose 14 = 5*m - x. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zufzfdaaxdaaxfxzffdd. What is prob of picking 3 d and 1 u?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 91284 <= 91287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = d - 4, -2*d + 5*t + 12 = d. What is the least common multiple of 17 and d?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -2)\/5 - (-207)\/90. Factor -1 - 5\/2*v**3 + v**2 + k*v.\nAnswer: -(v - 1)*(v + 1)*(5*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**13*v)\/v)**(2\/15))**(-14\/11) assuming v is positive.\nAnswer: v**(-364\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m + 57 = 3*n - 33*m, 0 = -n + 3*m + 7. Solve -25 = -2*d + 5*s, 0*s + 5*s = -2*d - n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 + q - 7. Let n(p) = -4*p**2 - 7*p + 9. Let j(u) = 3*u**2 + 5*u - 6. Let a = -2 + -3. Let c(x) = a*n(x) - 7*j(x). What is 5*c(w) - 2*y(w)?\nAnswer: w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4041058771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -s - 0*s + r, 0 = -2*r - 10. Suppose -53*k + s*k + 5 = 0. Let u(c) = -c - 4. Calculate u(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 - 16*l - 5. Let j(x) = x**2 + 2. Calculate 3*j(d) - w(d).\nAnswer: -d**2 + 16*d + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4586479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38670432 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43\/56 - -5\/8. Let w(a) be the third derivative of a**4\/12 - a**3\/6 - 2*a**2. Let u be w(1). Which is smaller: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/10*(-189)\/(38556\/(-680))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*27\/(-81)*98\/14.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(84)*6 + (-2*(sqrt(84) - (1*sqrt(84) + sqrt(84))) - sqrt(84)))\/((sqrt(96) + sqrt(96)*-1*-5)\/(sqrt(72)*1 + sqrt(8))).\nAnswer: 38*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 70*q**3 + 3*q - 2. Give x(1).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -100042 (base 5) to base 11\nAnswer: -2401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exexxeeeex. Give prob of picking 1 e and 3 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p + 4. Let o(l) = -l. Let h be o(-2). Let k = -1 - h. Sort 3, k, p in ascending order.\nAnswer: k, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z. Let b(o) = -2*o**2 + 5*o - 5. Let n(p) = p**2 - 4*p + 4. Let v(q) = 4*b(q) + 5*n(q). Give v(i(a)).\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46*((-4)\/(-6))\/(52\/429*11).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 35, -3, 284, 3, -5 in increasing order.\nAnswer: -5, -3, 0, 3, 35, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0 + 0*c**4 + 1\/504*c**8 + 0*c**3 - 14*c**2 + 0*c + 1\/60*c**6 + 1\/90*c**5 + 1\/105*c**7. Suppose i(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 0*b**2 + b - 2*b**2 + b - 1. Let x(r) = r**3 - 5*r**2 - 4*r - 6. Let w be x(6). Let v(h) = -h**3 + 7*h**2 - 5*h - 5. Let i be v(w). Determine u(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 3, -397, 5618, -5 in descending order.\nAnswer: 5618, 3, 0, -5, -8, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 15*v + 41. Let c(u) = -u**3 - 17*u**2 + 55*u - 82. Let h be c(-20). What is g(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4359.858 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 0*d + 1 - 6*d + 0*d + 14 - d**2. Let b be s(-8). Let u = 5.6 + -0.6. What is the nearest to b in u, -0.1, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51799 is divided by 1991?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-6\/19)\/a)\/a)\/(a\/(a**(-3\/7)*a)))**(-1))**19 assuming a is positive.\nAnswer: a**(232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1176 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - k**2 - k - 15. Let l be w(3). Solve l = o + 2, 2*o + 16 = -0*j - 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13711318781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*g + 4*a - 3*a, 3*g - 24 = -5*a. Suppose g*i = 19 - 4. Solve -t = i*m, t = 5*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 - 18*j + 17. Let x be p(5). Suppose 3*s - 110 - 66 = w, -x*w - 295 = -5*s. What is the greatest common divisor of 19 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1248)\/(-260))\/12 + 14\/(-10). Let x be (-46278)\/170 - 2\/(-5). Let q = x - -272. Is q at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 292 + -7?\nAnswer: 28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 181*d**2 + d - 1. Let b(s) be the first derivative of s**3\/3 + 11*s**2\/2 - 41*s - 45. Let v be b(-14). List the prime factors of a(v).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6643 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 96, 110, 140, 192, 272?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 20*o**2 + 20*o - 21. Give x(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8875993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -9*p**2 - 325. Let n(s) = -28*s**2 + s - 1030. Let r(i) = 19*f(i) - 6*n(i). Let c(b) = -2*b**2 - 5*b + 6. Determine -5*c(q) + 4*r(q).\nAnswer: -2*q**2 + q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 39. Suppose 5*c + w = 36, j = c - 4*w + w - 4. What is the units digit of ((-10)\/7 - -2)*c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60 + 3?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v - 5. Let i(t) = 3*t + 4. Let q = 1993 + -1999. Calculate q*i(s) - 5*l(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 237127, 237131, 237135, 237139?\n\"Answer: 4*q + 237123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 16. Let k be 20925\/(-18)*(-160)\/y. What is k rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 25*m**3 - 4*m**2 - 26*m + 14. Let s(f) = 12*f**3 - 2*f**2 - 12*f + 7. Determine -6*k(x) + 13*s(x).\nAnswer: 6*x**3 - 2*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*((i**7\/i)\/i*i)\/i*i))\/(i\/i**(1\/5)))**(9\/4)\/(((i*i*i**(-1\/2))\/i)**(-21)*(i**(-2\/5)*i)\/i**(1\/3)) assuming i is positive.\nAnswer: i**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13 + 3*h + 4*h - 5*h. Suppose -4*b = 5*z - 54, -2*z + 5*z - 29 = b. Is i(z) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/x**4*x*x**(-3)*x*x**(-3\/4)*x**(-3\/7)*x**4\/x**(2\/9)*(x*x\/((x**0\/x)\/x))**(1\/67) assuming x is positive.\nAnswer: x**(-5759\/16884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 6*k - 5*k)*(1 - 1 - 3*k)*(1 - 5 + 1)*(-7*k + 3*k + 2*k) in the form y*k**3 + n*k**2 + l + v*k and give y.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/y**15*y)\/y))**18 assuming y is positive.\nAnswer: y**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.2, 2\/13, -0.612?\nAnswer: -0.612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2*u**2 - 10*u - 6 - 18*u + 24*u = 0 for u.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 3142 + 2754. What is the remainder when 115 is divided by c\/14 + (-2)\/7 + 1?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10649401 and 658?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -26*u**2 + 2*u + 1. Let r be n(2). Let h = -81 - r. Let l(g) be the second derivative of g**3\/6 + g. Let m(w) = -3*w. What is h*l(t) + 5*m(t)?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 0.02. Let n = j - 4.06. Let a = 1112 + -1112.4. What is the closest to 0.1 in n, a, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/65*1615\/(-306)*-6?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 12:50 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -478\/349 - -455571\/317590. Find the common denominator of i and 109\/12.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343683.5l in millilitres?\nAnswer: 343683500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 6*u**2 - 9*u - 18. Let r be h(-7). Let o(b) = b + 4. Let f(d) = -4*d - 9. Let t(s) = r*f(s) - 9*o(s). Let x(w) = 54*w**2. Calculate x(t(j)).\nAnswer: 2646*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307145 is divided by 124.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:11 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 29. Solve 0 = 2*u + 3*p + 13, 0*p + x*p + 24 = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*f - 393 = a, 13 = -1013*a + 1015*a + 3*f - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325340 by -81335.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 15*f**2 - 40*f - 50. Let w be s(-12). Which is bigger: 472 or w?\nAnswer: 472","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -753069, -753136, -753203?\n\"Answer: -67*r - 753002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**8\/84 - 2*x**7\/15 + 3*x**6\/10 + 7*x**5\/15 - 5*x**4\/3 - 14*x**2 + 23*x. Determine o, given that a(o) = 0.\nAnswer: -1, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 12. Let k be g(-10). Let f(h) = h**2 - 4*h + 4. Let v be f(3). Let y = v + -3. Is y greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 4, -4, -28, -74, -148, -256?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 5, 10, 0 in descending order.\nAnswer: 10, 5, 3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-10) - (-376)\/(-40). Let i = -4 - j. Suppose -3 + i = c. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2392.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -17*h**4\/4 + 7*h**3\/3 + 7*h**2\/2 - 7*h + 14. Let k(v) = -9*v**3 + 4*v**2 + 4*v - 4. Give -4*b(z) + 7*k(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -9960?\nAnswer: -9967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 38*u - 11*u - 116 - 205 + 32 - 113. What is the units digit of o(54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12305, 24620, 36935, 49250, 61565, 73880?\n\"Answer: 12315*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(-31)\/(u**(4\/7))**(-20) assuming u is positive.\nAnswer: u**(514\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12413 + 12407.331. Let g = p - -5.72. Is 3\/5 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40ba4 (base 12) in base 15?\nAnswer: -1a137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1364*j**3*s**2 + 447*j**3*s - j**2*s wrt s?\nAnswer: -2728*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1095621, 2191245, 3286869, 4382493, 5478117?\n\"Answer: 1095624*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 14) in base 7?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14171 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 4*y**3 - 40*y**2 + 132*y - 90.\nAnswer: 2*(y - 3)**2*(y - 1)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 33. Suppose g + s = 2*g - 4*t, -3*t = 0. Solve -b = -g*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*z + 0*z + z)*(0 - 4 + 3) - 3*z - 2*z + 4*z + 16*z - 20*z - 28*z)*(-z**2 + 9*z**2 + 4*z**2).\nAnswer: -408*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s + 35. Let j(t) = t + 11. Let r be j(s). Let g = r - 9\/2. Which is the nearest to -2? (a) -5\/2 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1023031330 (base 4) to base 14.\nAnswer: -803c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3.3. Let p = -3.3 + y. What is the closest to 2 in 1\/3, p, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12684 is divided by 127.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2615 + 2616. What is the smallest value in -5, -1\/10, 0.05, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 344.672?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**4 - 22*f**3 - 6396*f + 3248*f + 3139*f in the form b + p*f**4 + q*f + k*f**2 + o*f**3 and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**15*c*c**(7\/2)\/c*c*c*c**(-11\/3)\/c**(2\/15) assuming c is positive.\nAnswer: c**(167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**5\/3 - 1120*t**4\/3 - 7770*t**3 + 2509720*t**2\/3 + 5084915*t\/3 + 851000 = 0.\nAnswer: -184, -75, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 119259*m**2. Let b(c) = 1334*c**2. What is b(r(f))?\nAnswer: 18973093914054*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-3 + -2 - (sqrt(1331) + sqrt(1331) + 1*sqrt(1331)))**2.\nAnswer: 144*sqrt(11) + 14260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -0.4, -19 in descending order.\nAnswer: 24, -0.4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(6\/(-34)) - -3. Let t = -20 - l. Let b be ((-45)\/30)\/(t\/8). Solve 3*z = -b*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6199 at most as big as 6198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 - 25*c - 25. Let d be l(-1). Let f(y) = y**3 + 7*y**2 + y + 4. Let r(b) = b**3 + 7*b**2 + 4. Let m(g) = d*r(g) + 4*f(g). What is m(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -b + 10, -r = 1 - 0. What is the remainder when 21 is divided by (-5 - 5)*(-4)\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13d353 - -4?\nAnswer: -13d34e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13431 and 2553.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 4:03 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/3 (b) 0.1 (c) -0.4 (d) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -324 (base 8) to base 14\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 251007 times 5\nAnswer: 1255035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.4 - 0.3. Let o = -4 + h. Let z = -0.8 + 0.83. Is o greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 438774.\nAnswer: -438774.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1)**(-1)\/(p**0*(p\/(p*p**(1\/4)))\/p) assuming p is positive.\nAnswer: p**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -643\/7 - -92. What is the nearest to -2\/3 in 1\/2, -3, f, -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 69*k - 71*k + 4*m - m, 2*k = -3*m - 30 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45.891 - 0.109. Let f = x + 45.99999921. Round f to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -v + 2*v. Suppose r + 3*n - v = 0, 2*r + 0*n = -3*n + 82. Is (-4)\/(-14) + 3385\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6 - -20433964.\nAnswer: 20433966.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3 - 0. Suppose -3*s = -c*i - 66, 7*i + 59 = 2*s + 2*i. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*((-21)\/24 - -1). Which is the closest to -6? (a) -1 (b) g (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d - 3*s = 33*d - 480, 2*d + s = 472. What is the greatest common divisor of 39 and d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -1424?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (3 + -7 - 16) - (16 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 (base 10) in base 7?\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/17, -0.6538, 0.3, 22, -1\/8, 0.2, -4?\nAnswer: -0.6538","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 0.4, 2, -422, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (7 - 14) + 2 + -27?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r. Let f = 41 - 44. Let u(t) = -2*t**2 + 8*t - 6. Let q(n) = f*h(n) + u(n). Calculate the lowest common multiple of 3 and q(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 4355?\nAnswer: -4360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w - 368 + 7*w + 368 + 2*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krkratratoakakrk. What is prob of picking 1 t and 1 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**4 + 19896*f**3 + 24660964*f**2 - 198243744*f + 397125184 = 0.\nAnswer: -2491, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32957\/175065 - -2\/5305. Find the common denominator of ((-56)\/130)\/(4302\/9321) and t.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-six fifths of a microgram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/3 - 2*h**3\/3 - 8*h**2\/3 + 8*h\/3.\nAnswer: 2*h*(h - 2)*(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 20, -2, -5, -158, 27 in ascending order.\nAnswer: -158, -5, -2, 4, 20, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -16.61. Let l = w - -0.01. Let u = 1358 + -1362. Which is the smallest value? (a) -0.4 (b) u (c) l (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 328*o*x**2 - 86*o wrt x.\nAnswer: 656*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1057 is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18 - (-2 - (-1 + 2))) + 4. Let m(r) = 2*r**2 + 22*r + 14. Calculate the remainder when 52 is divided by m(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**5\/20 - 5*r**4\/8 - 2*r**3 + 332*r**2. Let n(c) = 0. What is c?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1587 + 1610. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(sqrt(9) - (sqrt(9) - (sqrt(9) - sqrt(81)))))\/(5*sqrt(30)\/sqrt(3)).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from asoouave?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = d - 2, -859*d + 857*d + 2*w + 16 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 7*j + 2. Let p be k(-7). Suppose 3*c = 7 + p. Let r(d) = 10*d - 3. Is 9 a factor of r(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 5. Let j(v) = -v**2 - 11*v - 8. Let g be j(-7). Suppose 0 = 5*w + g + 10. Let f be t(w). Solve 5*d = -4*i + 11, -5*d + 4*i - 14 = f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 4\/21*l**3 - 5 - 6\/7*l + 5\/7*l**2. Suppose u(o) = 0. What is o?\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from pckrlpj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15250 and 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, 0.5, 0.08, 0.0253, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q - 2*q - q)*(0 - 1 - 1) - 5*q + 7 - 7)*(-5*q + 5*q - 2*q**4).\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 32. Suppose -5*x - 3 + l = 0. Let v = -1605 - -1604.7. Which is the third biggest value? (a) -1\/2 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (4 + (-1 - -7))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9cc (base 15) to base 13.\nAnswer: -1017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 3*y**2 + 3*y + 3. Let a(n) be the first derivative of -n**4\/2 - 7*n**3\/3 + 7*n**2\/2 + 7*n - 636. Calculate -3*a(f) + 7*c(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 38*b - 4*p + 5*p + 46, -115*p + 116*p + 71 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 3 - 3 + (-1 + 1 + 3)*((-3 - 3 + 5)*(-3*j + 0*j + 4*j) + 3 - 3 + 2*j - 4*j + 2*j + 0*j - 328*j + 1194*j - 596*j).\nAnswer: 805*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 12:33 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (68 + 1) - (2 + -22 + 7)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -286 or -287?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114048 and 16434?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/32*((-3774)\/(-425))\/(30\/(-100)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -2*f**2 + 46*f + 1. Let z be k(11). Put 4\/7, 0.2, z, 0.1 in descending order.\nAnswer: z, 4\/7, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -924 - -5421. Let t = h + 1102. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 5*x**2 + x + 7. Let a be s(-5). Let f(h) = a*h - 1 + 1. Let v be (3\/(-2))\/(6\/(-16)). Give f(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3541 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 7*p = -208. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 51*j**2. Let b(f) be the second derivative of -8 + 0*f**2 - 1\/6*f**4 + 0*f**3 - 2*f. Determine z(b(d)).\nAnswer: 204*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-79)\/(12245\/1767)*15\/9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79.7 - -80. Sort 3, y, -4 in decreasing order.\nAnswer: 3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/14 - 264\/88)*(-4)\/(-5).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 48. Let i = c - -48. Let s = 77 + -31. What is the highest common divisor of i and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y - 9*y - 3*y to the form r*y + f and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31921, -63853, -95791, -127735, -159685, -191641, -223603?\n\"Answer: -3*c**2 - 31923*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -991*q. Let v(j) = 12*j**2. What is v(c(m))?\nAnswer: 11784972*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*j - 9. Suppose -7*d = -j*d - 28. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + d)*(9*d + 1 - 8*d + 0*d)*(1 + 56 - 7).\nAnswer: 50*d**2 + 50*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*((-1*sqrt(91))\/sqrt(7) + sqrt(13))*-6)**2 - (-2 + sqrt(13)*2 + sqrt(156)\/(sqrt(36)\/sqrt(3)))) + -5.\nAnswer: -13 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -0.1 (c) -2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 51, 46, 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 3:11 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1110, 1450, 1782, 2100, 2398, 2670?\nAnswer: 2910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 792844233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i. Solve i*w - 3*w + 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 811371954 to the power of 1\/3, to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from zhihiizzhizzi.\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 5186 + 1254. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68431019 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1246794509, 1246794510, 1246794511, 1246794512?\n\"Answer: h + 1246794508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(4\/3)*s*s**(1\/3))\/(s**0*s*s\/(s*s**(-23))*s) assuming s is positive.\nAnswer: s**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - 2*d**2 + 0*d + (0 - d + 0)*(-2*d - 4*d + 5*d) - 4*d**2 - 3*d**2 + 6*d**2 + 23*d - d**2 - 29*d + 24*d.\nAnswer: -3*d**2 + 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 2*v**3 - v**2 - 4*v + 3. Let o(a) = -2*a**2 + a + 1. Let n(w) = -8*o(w) - 3*y(w). Let n(k) = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 0*z**2 + 27*z + 18 - 10*z**2 + 12 + 7*z**2 = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -883\/3 and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**3 - 26*q**2 - 6*q + 16. Let y be l(8). Calculate the highest common factor of 88 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 124324426 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -20. Let u = 0 - f. Let m(c) = -c**3 + 0*c**3 - u*c**2 - 4*c + 1 - 6. Determine m(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.98, -9?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44252.97l to millilitres.\nAnswer: 44252970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59328739651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-10) + -7 - 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2803 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s = -8. Suppose -4*y - 5*l = y + 65, -25 = 5*l. Let o be s + (-1)\/5*y. Sort 4, o, -1.\nAnswer: -1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnnn when four letters picked without replacement from {c: 2, z: 3, n: 8, a: 2}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*z - 4 = 21, -5*b - 4*z + 37 = 0. Let d be ((-2)\/b)\/((-736)\/740 - -1). What is d rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -73c?\nAnswer: -73b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.46*16\nAnswer: 7.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436 (base 13) to base 14.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.803276 weeks in days?\nAnswer: 5.622932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25318 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 366839*m**4 + m**2 - 524466*m.\nAnswer: 8804136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 8:43 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d*m*p + d*m*w - d*p*w**2 - 2*d*w**2 - 67*m*p*w**2 - m*w**2 - 6*w wrt p.\nAnswer: -4*d*m - d*w**2 - 67*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8608 + -34415\/4. Suppose 0*g + 328 = -4*g. Find the common denominator of j and ((-2)\/(-7))\/(4\/g).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let s = d + -4. Let p = -353\/3 - -1777\/15. Which is the second smallest value? (a) 9 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28460 + 1138491\/40. Suppose -520 = -u - 3*u. What is the common denominator of u\/(-32) + ((-3)\/(-2))\/(-1) and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v + 99. Let m be (-3 - -3 - 2)*32\/4. Let n be r(m). Which is the fourth smallest value? (a) -1 (b) -0.2 (c) n (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -1\/4 (c) 25\/2 (d) -45 (e) 0 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/10)\/(-2 - (-69)\/36). Let o be z + (0 - -1)\/(4 - 5). Solve d = -4 + o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - 4*r**2 + r + r)*(7*r - 6*r + 4*r) as s*r**2 + c + z*r + y*r**3 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + 7. Suppose 0 = -3*c + c + 40. Is (-3)\/4 + a\/c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g - 5. Let x be v(2). Find the second derivative of x*r - 8*r**5 + r - 8*r**5 + 20*r**5 wrt r.\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 30 = -b. Let p(v) = -v**2 - 7*v + 8. Let l be p(b). Suppose 2*t = m + 15 + 10, -m = -t + l. What is the lowest common multiple of t and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q - 100 = -36*q. Suppose -3*z + 17256 = -b, q*b = 3*z - 17969 + 725. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.05, 0.65, -1\/234 in increasing order.\nAnswer: -0.5, -1\/234, 0.05, 0.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 10:47 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16114562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*p**2 + 1020*p**3 + 4060*p**3 - 201*p**2.\nAnswer: 5080*p**3 + 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*v = 2514, 5*n - 2*v = 169 + 2339. What are the prime factors of n?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/6)\/(20\/24). Solve t*u + 12 = -p - 2*p, -5*p - 24 = u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -20*t**2 - 2. Let s(a) = 609*a**2 + 612*a**2 - 1223*a**2. Determine s(o(f)).\nAnswer: -800*f**4 - 160*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10806839719 and -4.79.\nAnswer: -10806839723.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-2)\/(-4)*((-2)\/5)\/2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 45*x**2 - 372*x - 3390. Determine s(-51).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 22007?\nAnswer: 22006.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25.189 + -24.9. Let x = -21.711 - k. Is x less than or equal to 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(7)*5)\/sqrt(12) + ((-3*sqrt(784))\/sqrt(8))**2.\nAnswer: 5*sqrt(2) + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 312515 (base 10) in base 12?\nAnswer: 130a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10919467868 to 4 dps.\nAnswer: 0.1092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 200.3 + -151. What is n rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3811353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322 = 10*n - 4*x + 264, -x - 12 = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v**5 - 8*v**4 - 2*v**3 + 12*v + 12. Let m(w) = -w**5 + w**4 - w - 1. Let f(o) = c(o) + 12*m(o). Factor f(k).\nAnswer: -2*k**3*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 18 + 7*a)*(-a**3 - 8 - 5*a**2 + 5*a**2) as n + z*a**3 + s*a + h*a**4 + l*a**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -9425*h. Let t(x) = 2*x**2. What is t(m(n))?\nAnswer: 177661250*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3 - 61. Suppose p = r + 3*r. Solve -4*m + 4*t = 10 - 2, r*m + 9 = 5*t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -69, 1889, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -10663*h - 1375. Does 16 divide v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - w - 1. Let t(c) = -11 - 38*c - 5*c**2 + 20*c + 14*c. Give -6*b(x) + t(x).\nAnswer: x**2 + 2*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((18\/411)\/(-3)). Let a = n - 77. Suppose 3*o - 24 = o. What is the greatest common factor of o and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 341*d + 13 + 12*d)*(2 + 1 + 0).\nAnswer: -987*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 + 0*p + 0*p + (0*p**2 - p**2 + 3*p**2)*(-4*p**2 + 4*p**2 + p**3) - 151 - 25*p**5 + 151.\nAnswer: -22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 4*u - 8. Let f(h) = -h**2 + 3*h - 6. Let q(s) = -3*f(s) + 2*x(s). What is q(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/27750 and -21\/9250?\nAnswer: 27750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175 - 9*y + 86 - 11*y**2 - 23*y**2 + 91.\nAnswer: -34*y**2 - 9*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00964186 rounded to 4 decimal places?\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -288366, -288364, -288362, -288360, -288358?\n\"Answer: 2*q - 288368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -18*o - 429. Let k be i(-24). Solve 4*j = 3*c + 8, -k*j = -2*c - 2*c - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Suppose -3*x + 2*l = 43, 5*l + 16 = -2*x - 0*x. Let n be 2\/(-3 - x)*-6. Sort 3\/7, r, n in decreasing order.\nAnswer: r, 3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1248)\/792)\/(-13)*2\/(4\/(-9))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = g + 13, g + 3*n = -0*g - 7. Calculate the remainder when 23 is divided by -4*(1 + -1 - g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-1))\/z**5)**(-9))**18 assuming z is positive.\nAnswer: z**486","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1\/28, 15, 3 in decreasing order.\nAnswer: 15, 3, 1\/28, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/16 - 15\/(-4). Let d be 2\/(-6) + 26\/6. Solve d*o - 7 = x + 8, -l*x = -2*o + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 5*y**2 + 6*y - 4. Calculate the least common multiple of b(6) and 7.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/4663 in 0.2, -2\/15, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89491076 divided by -22372769.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 128633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/70)\/((-5)\/(-15425)). Let p = z + -686. Let n = 0.4 + -0.3. Which is greater: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151084333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -508 - -501. What is the tens digit of y + 835 + 12\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 145.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9157, -36656, -82487, -146650, -229145?\nAnswer: -329972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - -146. Suppose u + 446 = -z. Round u to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -721 by 4817.\nAnswer: -721\/4817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79573, -159342, -239305, -319456, -399789, -480298?\nAnswer: -560977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -65. Let c be (z + -3)\/((-7)\/(-14)). Let n be 6\/(-4)*(-1 - 3\/9). Put c, n, -3, 4 in decreasing order.\nAnswer: 4, n, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -6\/17, 5 in ascending order.\nAnswer: -6\/17, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 13 = -6*g + 2*g, 2*p = 4*g + 6. Solve 1 = -2*v + p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420875482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*d + 3, 0 = -3*a + 5*d - 0*d. Let s(m) = m**3 - 7*m**2 - 5*m + 14. Let f be s(7). Let z = -19 - f. Sort a, 0, z.\nAnswer: a, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15244, -2092, 11060, 24212?\n\"Answer: 13152*w - 28396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322683754 and 928?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111873 minus -33410.9852?\nAnswer: 33411.097073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -0.1 (c) -77 (d) 4 (e) 33 (f) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*q = 90, 3*o + 2*q - 222 = -2*q. Suppose -6 = -u + o. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -42*o**2 + 8315*o + 33902. Calculate t(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z**2 + 2. Let t(l) be the third derivative of l**5\/60 + 19*l**2. Calculate t(h(u)).\nAnswer: 81*u**4 - 36*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 310233 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -145a - 2?\nAnswer: -145c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 137, -3, -100?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = 3*j. Is 1333\/j + 12\/30 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqxxkxxxxxwxwkxq. What is prob of picking 2 q?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -201 + 369. Suppose -5*q - 2*q + b = 0. Calculate the least common multiple of 6 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from {n: 3, m: 2, b: 8, d: 4}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t + 2*t - 33040 = 0. What are the prime factors of t?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5.2. What is the fourth smallest value in 1\/2, 1\/5, n, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 33 + 4*m**2 + 0*m**2 + 51*m - 7*m = 0. What is m?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138172?\nAnswer: 2, 34543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5550917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 10125155?\nAnswer: -10125201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 4. Let d be (-3)\/1*24\/18. Let g be u(d). Suppose g*v = 4*v + 40. Does v = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -1 + (0 - -4). Suppose -4*v - 3*d + 2 - c = 0, d - 5 = v. Let z be (-9)\/12*(-4)\/(-6). Is v at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*8312189.\nAnswer: 415609.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66323 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 + 413. Suppose 0 = 4*u, -6*u + u - r = 3*g. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/4730 and -52\/495?\nAnswer: 42570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4*(-6)\/24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17755 - 10995. Does 169 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*d + 30. Let p = -4 + d. Let n = p + 18. Calculate the smallest common multiple of n and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -936739, -936738, -936737, -936736, -936735?\nAnswer: -936734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*p + 485 = 0, -r - p + 101 = 2*p. Let v = 100 - r. Suppose v*j = 214 + 1960. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7234*d**4 - 3*d**3 + 90*d + 135 wrt d?\nAnswer: 86808*d**2 - 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 50 - 3 - 5*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121900 and 3715300?\nAnswer: 85451900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21605 = 32*h - 20325 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 - 18*a**3 - 50*a**3 - 5*a + 5*a - 18*a**3.\nAnswer: -81*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from ckbbkgkxzkbkggzkk.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**10*s))\/s**10*((s\/s**2)\/s)\/s**(-5))**49 assuming s is positive.\nAnswer: s**(-833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55999397.\nAnswer: 3259, 17183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 140828569 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3159)\/(-6) + 4 + 3\/6 + 0 is divided by 91.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*b + 486, -4*r = -3*b - 11 - 636. Calculate the highest common factor of r and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j + 27 = 2*y, -5*j + 15 = 0. Let t = -11 + y. Calculate the remainder when 101 is divided by t\/(-13) - (-2688)\/104.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 230 - 229.998272. What is v rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4225*z**2\/9 + 520*z\/3 + 16.\nAnswer: (65*z + 12)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-271 - -288) + (1 - -3) - (156 - 5).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllqqqlllllqlqqq. What is prob of picking 1 l and 1 q?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 11:50 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4004523 (base 6) to base 7\nAnswer: 1411116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.009, -4\/9, -2\/3, -3\/4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36131042 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**3 - 7 + 7 + 6*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -379 * -3164689.\nAnswer: 1199417131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(8) + sqrt(5) + (2*sqrt(50) - sqrt(50))\/sqrt(10) + 0.\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -258 - -259. Is (-1 - -3) + m - -2842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from {d: 3, s: 2, r: 6, h: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 - (-11 - -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 12 - 87 = 0. Suppose -8*z + 3*z = -b. Suppose -4*x = -z*x - 24. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 11 - 10)*(3*d**3 - 3*d**3 + d**5).\nAnswer: -31*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5777 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5563878343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1076\/4842)\/((-1 - (-3 - -1))\/3) + 3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(1331) - (sqrt(1331)*1 + 0)))**2 + (1 + sqrt(275) - sqrt(44)\/sqrt(4)*-5))*-3.\nAnswer: -30*sqrt(11) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.668189kg to milligrams.\nAnswer: 5668189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-768)*24*8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*b**4*h - 3*b**3*h - b**2 - 29*b*h - 2*b - 7*h wrt b.\nAnswer: -108*b**2*h - 18*b*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6896, 27559, 61988, 110183, 172144, 247871, 337364?\n\"Answer: 6883*z**2 + 14*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q = -y, -y - 2*q + 18 = 0. Suppose -4*n = p - 14, -y*n - p = -11*n - 2. Solve 11*l + 4 - n = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 + 248241*r\/4 - 248243\/2.\nAnswer: (r - 2)*(r + 248243)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2151622\/3931195 - 2\/41381. Let w be 24\/(-38)*15\/(-10). Let s = w + m. Put s, 2\/9, -4 in increasing order.\nAnswer: -4, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74 + -69)*2\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51714.03411 rounded to 0 dps?\nAnswer: 51714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.13 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/((12\/(-2747919))\/(-2)). Suppose -5*n + x = -k - 9080536, 3*n - 2*k - 16439992 = 0. Suppose -o - n = -5*o. What is o rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10543 take away -136783?\nAnswer: 136783.10543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3561727 and 338.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1441 + 1516 = 15*w. Sort w, 137, 3 in descending order.\nAnswer: 137, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(9\/5))**(-8\/5)\/((w*w\/(w\/((w\/w**7)\/w*w))*w)\/w**(-23)) assuming w is positive.\nAnswer: w**(-547\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccacacc.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 71 - 79. Calculate the highest common divisor of c and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 2*k - 272. Give f(16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 11 + 16. Suppose 0 = 4*l - b*l. Let m(x) be the third derivative of x**6\/120 + x**5\/60 + x**3 + x**2. Give m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 - (4 - 11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -15?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1318972059?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -365 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2)\/k)**(-4\/27)*(k*k\/(k*k**(-2)*k)*k*k*k*k)\/(k*k**(-4\/7)\/k*k))**(-14) assuming k is positive.\nAnswer: k**(-730\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2200344 - -15736698. Suppose 5*f + 22009047 = 3*b, 8*b + 3*f - 29345425 = 4*b. Let m = b - s. What is m rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, p: 7, c: 7}. What is prob of sequence pz?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 371991, 1487964, 3347921, 5951862?\n\"Answer: 371992*a**2 - 3*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 4:52 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3\/5 + 1144*x**2\/5 + 34048*x + 376320 = 0?\nAnswer: -280, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:55 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 495*z + 128. Is f(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 53*t**3 + 10 - 5.\nAnswer: -53*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 329 - 39. Round l to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7406, -29695, -66828, -118805?\n\"Answer: -7422*t**2 - 23*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 2) to base 11\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2315 + -2300. Solve 0 = -4*b - 5*q + 22, 14*b - x*b = q - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8951 is divided by 532.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2082314 is divided by 5524?\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (2 + (-3 - -3)). Suppose s - 6 = -b*s. Suppose -c + s*r - 4 = 6*r, -r = -2*c + 37. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 3:37 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4455805 bigger than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -656, -1313, -2084, -2963, -3944, -5021?\n\"Answer: j**3 - 63*j**2 - 475*j - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 9624 = 16*z. Let j = -401 + z. Which is the third biggest value? (a) j (b) 0.05 (c) 2\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/7 + 24*j**2\/7 + 1080*j\/7 = 0 for j.\nAnswer: -18, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 8 + 16 - j**2 + 3*j**3 + 2*j**4 + 3*j - 9 as f + c*j**4 + z*j**3 + w*j + a*j**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -34*t**3 + 3*t**2 - 2*t - 4. What is n(2)?\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3595508 is divided by 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15936 - 15904. Calculate the least common multiple of 2664 and u.\nAnswer: 10656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -369617 (base 10) to base 14.\nAnswer: -989b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 195*p + 11. Calculate y(1).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, r: 13}. Give prob of sequence wrr.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 464 and 1044.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 + 57\/12. Suppose -4*c = 3*a - 136, i*a - 136 = 2*c - 6*c. Let z = 55 - c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1560478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**2 + 83*s + 2908. What is b(-41)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.068639.\nAnswer: -0.0343195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -4*w. Let h(b) = -103*b**3 + 2*b**2 + b + 1. Let v be h(-4). Suppose -2*t + 42621 - v = w. Round t to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8093462 plus -0.3?\nAnswer: 8093461.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 31 = -2*l, l - 6*l - 5 = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29410 and 9622.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 316411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2944*w - 3 = -2947*w - a, 2*w = a - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, f: 1, q: 3}. Give prob of sequence iq.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/14*(4\/6)\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 + 13*y**2 - 3*y**2. Let u(g) be the first derivative of -6*g**2 + 19302. Give j(u(m)).\nAnswer: 1008*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 5*d**2 - d - 1. Let o be r(-3). Let l be (5\/2)\/(8\/o). Let w(x) = -3 - 114*x - x**2 - 5 + 107*x + 4. Determine w(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3521?\nAnswer: 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + 22 + 19 + -19 + -17\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 3*o**2 + o - 2. Let a be n(-3). Let j = -13473 - -13476. What is the closest to 2\/5 in 0.07, a, j?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z*z**4*z*z)**(-1\/4) assuming z is positive.\nAnswer: z**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, e: 7, g: 1}. What is prob of sequence bg?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 16 = -2*i, 28*i - 20 = 5*a + 26*i - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/732036 and -14\/305015.\nAnswer: 3660180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(1 - 15\/6). Let t = -3471 - -3470.9. Which is the closest to -2? (a) q (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003009 to 7 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 5*m**2 + m - 2. Give g(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -12. What are the prime factors of y\/((-9)\/(-6) + -2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 31 + 22 - 5*m - 78.\nAnswer: -5*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 1. Let p(a) = -305*a**3 - 362*a**2 - a - 1. Let m(b) = p(b) + z(b). Find the third derivative of m(h) wrt h.\nAnswer: -1830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13953174, 55812700, 125578576, 223250802, 348829378, 502314304?\n\"Answer: 13953175*x**2 + x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1534*a = 1535*a + 2*v - 166, -2*v + 6*v - 400 = -9*a - 10*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 4*n - 15 = 0, 0 = -2*s - n - 33. Let g be 4\/s - 36331562\/(-9). Suppose 0 = 3*x - 163160 - g. What is x rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - 6*x + 8*x + 6*x - 8*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -102771 bigger than -1541584\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5892, -1\/6, 1 in descending order.\nAnswer: 1, -1\/6, -5892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 192*n - 1426. Determine v(-88).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(288) + 0 + 5 + (sqrt(288) - (1 + sqrt(288))) + 4 + -1 + sqrt(288) + -3))**2.\nAnswer: 960*sqrt(2) + 4708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 541 = -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.65796 hours in microseconds?\nAnswer: 41968656000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y**2 + 6*y - 10. Let g(t) = 15*t**2 + 13*t - 19. Let i(n) = 6*g(n) - 13*x(n). Let f(h) be the first derivative of i(h). Determine f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31365 is divided by 3481?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 z, and 1 w when three letters picked without replacement from {z: 2, f: 1, s: 6, w: 3, b: 4}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 10898 - 31064. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91\/295 + 1\/118. Let n = 1\/30 - u. Let z = -138\/5 - -28. Which is the biggest value? (a) n (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*o + 55 = 0, -5*s - 177 - 120 = -o. Let w = 19 + s. Let l be (2\/(-5))\/(w\/(-580)). Is -7 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (26 - 2)\/((-9)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 bigger than -0.3357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {a: 2, l: 1, h: 4, i: 2, d: 1, v: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 - 55*t**2 - 111*t + 1333. What is h(30)?\nAnswer: 2503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -425012435 - -1?\nAnswer: -425012434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149 + 147.82. Let o = -5.86021 - -4.680424. Let d = z - o. What is d rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*b = -819*b + 1254 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1251 - 1247.9. What is the second smallest value in u, -0.5, -2, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -2 + 0 + -1 + (-4 - -13)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (sqrt(833) - (-3 + sqrt(833)*1 - sqrt(833))**2)) + (sqrt(833)*-1 + 3)**2.\nAnswer: -42*sqrt(17) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2. Let h(m) = -2312*m**2. Determine k(h(p)).\nAnswer: -10690688*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/6 + -5*21\/70. Suppose -120 = -4*l + 2*t, 0*l - t - 88 = -y*l. Calculate the least common multiple of l and 91.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.03247 and 0.08.\nAnswer: 0.1625976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -587 - -4101. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j + 5 = -5*x, x + 1 = 0. Let k be j - (-2)\/9 - 6\/27. Let h be 0 - ((-9)\/21 + k). Put -4, 0.3, h, 1\/4 in descending order.\nAnswer: h, 0.3, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 8:42 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 - -35. Suppose -w - w + x = 0. Let g = w + -11. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/28*2 - (2 + 0).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11428*u**2 - 5716*u**2 - 5713*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/29512 and 53\/486948.\nAnswer: 973896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 981\/(-45) - (-48)\/2?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - -842\/9. Let y = 7.4441 + -12.4441. What is the nearest to -0.04 in -3, q, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*d - d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + c**2 + 3*c - 3. Let x = -61 + 64. What is l(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -y - 3*y. Let r = 7 - y. Is 15 a factor of (-176)\/(-3) - 1\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304*m + 299*m = -85. Solve -m*w = -15*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**3 - 16*w**2 - 6*w. Let v(h) = 2*h**3 - 5*h**2 - 2*h. Determine -2*m(r) + 7*v(r).\nAnswer: 2*r**3 - 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68889348 is divided by 124349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35264720, 70529489, 105794272, 141059075, 176323904, 211588765, 246853664, 282118607?\n\"Answer: k**3 + k**2 + 35264759*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 289061\/22524 - 1\/7508. Find the common denominator of v and (-2)\/(-6) + 94\/96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtpogpgozgpztgppqg. What is prob of picking 1 o, 1 p, and 1 z?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 19*u + 8 = 5*m, 0 = -m + u + 4. Factor 2*x**2 + 12*x**3 + 17*x**2 + 4*x**5 - 20*x**4 - 16*x + x**m.\nAnswer: 4*x*(x - 4)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/3)\/((-1)\/3). Let m = -1560.2 + 1559. Which is the closest to f? (a) -4 (b) -2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdz when three letters picked without replacement from zzdwzjzwzjjw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -627, -1043, -2179, -4395, -8051, -13507, -21123?\n\"Answer: -60*o**3 + 4*o - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*o + 12 = 128 - 7, m + 85*o = 90*o + 5 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44620797 to three decimal places.\nAnswer: 0.446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 5:56 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 107844270 to the power of 1\/2, to the nearest integer?\nAnswer: 10385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.38 (b) 3\/1031 (c) -1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -1\/5, -57 in increasing order.\nAnswer: -57, -5, -1\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 10323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -8 (c) -43\/7 (d) -6 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.4 and 85453.87.\nAnswer: 85456.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-88)\/(-16))\/11*-6. Sort l, -4, -29 in ascending order.\nAnswer: -29, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*k = -6*k + 39, -4*k - 3 = -j. What is the units digit of (-903)\/(-8) - j\/72?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k + 8763 = 28979. What is the highest common divisor of 399 and k?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-9))\/(b*b**(3\/14))*(b\/b**(-8\/5)*b)\/b**(-7\/6))**(-1\/38) assuming b is positive.\nAnswer: b**(467\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6682623673 to the nearest integer?\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v - 10. Let w(a) = -8*a + 4. Let l(m) = -5*w(m) - 2*z(m). Let q(r) = -11*r**2. What is q(l(h))?\nAnswer: -2156*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u. Let z(p) = -p**3 - 4*p**2 - 2*p - 2. Let y be z(-4). Let r(t) = -t - 6 + y. What is 2*g(v) + 6*r(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 17*c**2 + 16*c + 36. Let n be f(-18). Let k = n - 72. Solve 8 = 4*v, k = s - v + 2*v - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - q - 28 = 5, -3*q = 5*k - 110. Let a(i) = -2*i + 6*i - 2*i - 4*i - k*i**2 + 16*i**2 - i**3 - 3. Give a(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55.6 + 51. Let s = t - -4.5. What is the biggest value in s, 0, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1419261, 2838519, 4257777?\n\"Answer: 1419258*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632242.\nAnswer: 2, 13, 24317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5*k - 78 = -20, -7*j + 258 = 2*k - 0 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in nine tenths of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 7:51 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(2 + (-150)\/45). Factor -3\/8*u**5 - 27\/8*u**b - 15\/8*u**4 + 0 - 3\/4*u - 21\/8*u**2.\nAnswer: -3*u*(u + 1)**3*(u + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2078*f + 2033*f - 1755 = 0. Let c(r) = r + 21. Determine c(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18182 + 18182 + y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13466297161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6036 + 135?\nAnswer: 6173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 4. Let u be i(2). Let p(k) be the third derivative of -7*k**4\/2 - 5*k**3\/6 + 8*k**2. Is p(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.022583 to 2 dps.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -64*p - 146. Which is the closest to p? (a) -280 (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3570428 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.5 times -98.07?\nAnswer: 1127.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -1\/7, 1\/5 in descending order.\nAnswer: 37, 1\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164150 is divided by 377?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506, 509, 536, 587?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j. Let n be i(-1). Suppose 0 = 4*o - n*o - 2. Find the second derivative of -2*r**3 + 7*r - o*r**3 - 8*r - 5*r wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.441 + 4.222. Let p = j - -2.4. Let v = 0.17969 - p. What is v rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 42 = i, 0*j + i = -3*j + 73. Let x(a) = a**3 + a**2 - 5*a + 3. Let g be x(-3). Solve 3*y - u - 1 = g, 3*u - j = -4*y - 0*u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, 3, -45, -4 in decreasing order.\nAnswer: 12, 3, 0, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10858446 and 516.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/(-8))\/(-7)*48. Let m(j) = j**3 - 11*j**2 + 3*j + 7. Let l(v) = -v**2 + 1. Let p(t) = w*l(t) - 3*m(t). Find b such that p(b) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1662 - -1665. Solve 5*l + s*l + 24 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 1410*k**2 - 96695*k + 1329900.\nAnswer: 5*(k - 39)*(k - 20)*(k + 341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 12*q**4 - q**3 - q - 2. Let a(g) = -38*g**4 - 1030*g**3 - 4573*g**2 + 3*g + 6. Let m(u) = a(u) + 3*t(u). Find the third derivative of m(c) wrt c.\nAnswer: -48*c - 6198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/sqrt(3)*-2)**2 - (sqrt(448) - (sqrt(448) - (1*sqrt(448)*-5 + sqrt(448))**2)).\nAnswer: -6720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 - -138.5. Let a = 5.5 - b. Let c = a - -38.999981. What is c rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/2, -3, 0 in decreasing order.\nAnswer: 1, 0, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -53 and 7510.738.\nAnswer: 7457.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifmm when four letters picked without replacement from {l: 2, m: 10, i: 3, f: 4}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (-14031)\/(-15) + (-3 - 52\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6215259 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-33)*(-55)\/40*-4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2228700 by 6.\nAnswer: 371450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181 + 180. Let k(m) be the second derivative of -61*m**5\/20 + m**3\/3 + m**2\/2 + 2*m. What are the prime factors of k(o)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-5) + -3 + 2. Let m = 0.04 - 0.12. Let p = 0.38 + m. Which is the closest to 1? (a) p (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 - (-9 + 7266\/(-15)). What is the greatest common divisor of 58 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.294 - -3.294. Let l = 82\/9 - 9. What is the biggest value in t, -5, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.41*-3\nAnswer: 19.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + d**2 + 0)*(-3*d - 2*d + 4*d) + d**2 + 2*d**3 - d**2 - 29*d**3 - 74 + 74 + (d - d - 2*d**2)*(2 + 2*d - 2) as i*d + s + x*d**3 + m*d**2 and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 4*d**2 + 6*d - 2. Let m be -3 - 9*1\/((-2)\/2). Let w = 1 - m. What is c(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14b6434 (base 12) to base 9\nAnswer: -7842254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32400332 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyngoog. Give prob of sequence og.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*a**3 - 595304*a - 261412660.\nAnswer: -117*a**2 - 595304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(((-18)\/(-28))\/(54\/63)). Solve 6 = -p*x - 2*b - 4, 5*x = 3*b - 29 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(605)*2)**2.\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7164, 6932, 6698, 6462, 6224, 5984?\nAnswer: 5742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**7\/315 - f**6\/90 - 22*f**2. Factor p(h).\nAnswer: 2*h**3*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 38 = -x, z = 2*z - 5*x - 28. Suppose 3*g - 8*g = 2*b - 46, 5*b - 82 = 4*g. Are z and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.3787670318 + -1.\nAnswer: 4.3787670318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n - 9 = 0. Suppose -2*j = 5*w - 22, j + 1 = -w + 6*j. Solve 2*q - w*a = -q + n, 2*q - 2 = -a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35612 is divided by 111.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 23*o**2\/2 - 12. Let v(p) = p**2. Determine j(v(a)).\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 3. Let v be x(-11). Suppose -4*l + 24 = -v. Suppose n = -2*s + 3, -27 = -3*s - s + 5*n. Solve -s*d + b + l = -3*b, 4*b + 24 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 1246215.\nAnswer: 14954580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7 + 5*h - 10*h + 7*h. Let k(o) be the third derivative of -o**4\/8 + 4*o**3\/3 - 6*o**2. What is 5*k(j) + 6*z(j)?\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 10:15 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 171 * -0.5\nAnswer: -85.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 - 117. Suppose 5*i = -2*f - 3, -3*f + 4*i - i = 15. Put -1, r, f in ascending order.\nAnswer: f, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(208) - (0 + sqrt(208))))**2 - (sqrt(1573) - (sqrt(1573) + -1) - sqrt(1573))**2*6.\nAnswer: -9444 + 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5509\/6 + -106831\/114. Is -20 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4 and 107\/482424.\nAnswer: 482424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -28735 less than -0.00651?\nAnswer: 28734.99349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - v = 12 - 24, 0 = -4*q + 4*v - 24. Solve 3*x + 2*x + q*a - 30 = 0, 2*x + 5*a = 33 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 2. Let w be f(2). Let h be 1\/((w\/(-2))\/(-6)). Solve 3*r + 2*r - 4*p = -8, -4 = -h*r - 2*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x. Suppose -2*w + 52 + 36 = x. What is the remainder when w is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/102 and -19\/696.\nAnswer: 11832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 3*r + 2. Suppose -2*c = -5*f + 9 - 32, -14 = -2*c + 2*f. What is the remainder when h(2) is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -16*g - 1. Calculate the remainder when l(-1) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4222 is divided by 198?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -10. Let p(q) = -2*q + 3. Let i be p(x). Let r(f) = -2*f**2 - 5*f**3 + f + 0*f**2 - 1 + 4*f**3. Calculate r(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 3 - (-19 - -7 - (4 + -12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852179.\nAnswer: 3, 7, 89, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, j: 2, n: 2, d: 1, p: 1, i: 2}. Give prob of sequence jnp.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sns when three letters picked without replacement from {l: 2, s: 9, n: 5, y: 3}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -376*2.85\nAnswer: -1071.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpndnskpnpkp. Give prob of picking 1 f, 1 n, 1 s, and 1 k.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/24 + -5\/24. Let v = -15 + 9. Let o = v - -4. What is the nearest to o in -0.4, -5, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*l + 14 = 0, -5*a = -3*l - 67 + 71. Let q = -2 - -3. What is the greatest common factor of q and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Let z = 2.1 - i. Put -5, z, -4\/5 in descending order.\nAnswer: z, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -420, -1097, -1774, -2451, -3128?\nAnswer: -3805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4002 - -2.4. What is g rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**2 + 6*l**2 + 36*l**3 + 4*l**2 + 142*l**3 - 18*l**2 to w*l**3 + h*l**2 + u + p*l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**4\/12 - r**3\/3 + 10*r**2. What is the least common multiple of 14 and v(-4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, -2.7, -0.4.\nAnswer: -2.7, -0.4, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 17*g**2 + 2*g + 38. What is d(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 + 0.32154.\nAnswer: 123.32154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1920)\/4960)\/(20\/(-310)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143773488 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64992.\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = o - 51. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b = 52*b + 54 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 3. Let g be q(-6). Let m be (-16)\/g - (-12)\/54. Suppose -4*n = m*s + 2, -3 = 5*s - n - 20. Solve 6*t - s = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4724991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 2. Let m be ((-11200)\/a)\/((-1)\/(-75)). What is m rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 9 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1 - 53*q - 56*q - 54*q + 162*q. Let i(h) = 4*h**2 - 16*h + 16. What is 80*f(n) - 5*i(n)?\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 5*g**2 - 2*g - 1. Let y be z(4). Let f = y + -4. Let v = -18 - f. Solve -2*x + 9 = 3*b, 2*x + 0 = -5*b + v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*5*sqrt(153))\/sqrt(9) + (sqrt(2057) + (sqrt(2057) - (sqrt(2057) + sqrt(2057) + -1)) + sqrt(2057) + 0 + 0)**2.\nAnswer: 47*sqrt(17) + 2054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*s = 42, -6*s + 2*s + 24 = 4*c. Let m(g) = -227500*g. Let i be m(c). What is i rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 7 - 2 = 0. Let w = a + 5. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28083, 56169, 84255, 112341, 140427?\n\"Answer: 28086*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1304 (base 6) to base 9\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 + (12 - 8)) - (-11 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -186 - -182. Let d be m*(-3)\/(-27)*-1. Suppose 2\/9*j**2 + 4\/9*j - d*j**3 + 0 - 2\/9*j**4 = 0. Calculate j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 2*w - 4. Let d be r(8). Let t = -24 + 16. Let v = d + t. What is the greatest common factor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - z**2 + 13*z**3 - 6 + 9 as t*z**2 + g*z**3 + a + j*z and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0006 + -96.9006. Let g = -101 - l. Let d = g - -4.099955. Round d to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - f + 1. Let s(l) = 2*l**2 + 3*l - 7. Let t(j) = -3*h(j) - s(j). Let g be t(0). Factor -2*x**4 - 2*x**3 + 4*x**3 + g*x**4.\nAnswer: 2*x**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-16 + 12 - -8) + 18 + -3 - -42\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 5*p**2. Give s(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34137268181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1205*b + 29230 = -3305 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, 12, 86, 206, 384, 632?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 8*k + 2. Let q be t(8). Suppose 0 = 5*b + 3*p - 19, q*p - 12 = -3*b - 0*p. What is the tens digit of 1 + (51 - (-2 - b))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1187683245 divided by 5\nAnswer: 237536649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9*o**2 + 9*o - 8. Let q(u) = -4 - u - 6*u**2 + 6*u + u**2. Let t = 12803 - 12797. What is t*v(m) - 11*q(m)?\nAnswer: m**2 - m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 33*n + 15*n = n. Let y = -0.01 - 0.19. Which is the second smallest value? (a) -22 (b) -5 (c) y (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 268460, 268458, 268454, 268448, 268440?\nAnswer: 268430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 157920*s + 157925.\nAnswer: -5*(s - 1)*(s + 31585)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 57468931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/15)\/((-10)\/25). Do -0.15 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(((-2970)\/60588)\/((-10)\/(-6)))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 12*c**2 + 3*c + 42. Calculate n(11).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -5\/6, -1\/6, 4\/5, -0.4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-624)\/(-165)) - 864\/(-5616).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 35*y - 353. Let t be r(10). Let l(b) = b**2 - 1. Let o be (-1 - -1) + -1 - 0. Let z(q) = -q**2 + 2. Calculate o*z(h) + t*l(h).\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 47*r - 689. Calculate s(0).\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 2*w**2 - w - 1. Let r(g) = -22*g**3 - 12*g**2 - 5*g + 109. Let d be (-2)\/11 - (-1224)\/198. Let x(i) = d*l(i) - r(i). Differentiate x(k) wrt k.\nAnswer: 84*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -11*o + 7*o. Suppose -3*s + 7*s - o = 0. Calculate the remainder when s is divided by 24*((-1)\/(-2) + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (47\/(-94))\/(1\/(-8)). Suppose 5*y = 5, -c + p*y - 10 + 6 = 0. Solve c = -5*v - 5*s, -3*s + 2*s - 4 = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 23*n - 22. Let l be v(20). Let t = l - 42. What are the prime factors of -290*2*1\/t?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -12 + -6 + (52 - 51).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 369802.666 and 10.9.\nAnswer: 369813.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40327 - -40328.3. What is the fourth smallest value in k, 4.9, 1\/6, -5?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 108240 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88762.52 micrometers to kilometers.\nAnswer: 0.00008876252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 850717 is divided by 50040.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503 is divided by 73?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a - 10. Let d be q(4). Suppose 0 = -j + d*j - 26. Suppose 0 = -j*n + 23*n + 150. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1)**(-27)*(r\/r**7)\/((r\/r**(6\/11))\/r))**(5\/8))**(-13\/4) assuming r is positive.\nAnswer: r**(23205\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (9 - (0 + 0))) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31, -30, -29?\n\"Answer: v - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 72. Suppose -5*c + d = -2*c. Calculate the highest common factor of c and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 24*a - 20*a + 4*i, 0 = 25*a - 2*i - 64. Solve 13 = -3*q + 2*j - 6*j, -2 = a*j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-420)\/(-248)) + 4\/(-30). Sort 3, 0, b in descending order.\nAnswer: b, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 262 - 236. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 + 19)*3\/(-6) - -3350 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.47805920159 - 144.\nAnswer: -144.47805920159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.7827523 milliseconds?\nAnswer: 0.0007827523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 7:56 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -22*b**3 + 2*b**2 - 3*b - 7. Is j(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 33 = -3*u + 122, 0 = 4*u - z - 104. Differentiate 0 - u*g + 14 + 24 - 135 wrt g.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4246547040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f + 6. Suppose -10 = 10*n - 12*n. Suppose -u + 10 - 1 = -n*m, 5*m + 5 = 0. Let i be (u\/(-3))\/(2\/6). Give r(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 771, 781, 791, 801, 811?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -21*s**3 + 64*s**3 - 24*s**3 + 6*s - 8*s**3 + 4*s**2. Let g(y) = -32*y**3 - 12*y**2 - 17*y. Determine 6*g(m) + 17*h(m).\nAnswer: -5*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24241 (base 7) to base 11\nAnswer: -4809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/7 - 4*n**2\/7 - 2*n\/7.\nAnswer: -2*n*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5426779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285 times 5912?\nAnswer: 7596920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 - 50412. Let p(j) = -8*j. Determine s(p(q)).\nAnswer: 320*q**2 - 50412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 6*o**2 - 18*o + 4. Calculate g(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162749 is divided by 23193?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 10*n**2 + 6*n - 18. Let s = -135 + 145. Let f be x(s). Let a be (f\/(-18) - -2)*-30. What is the highest common divisor of a and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68077346 to the nearest integer?\nAnswer: 8251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**8\/1680 + n**4\/8 - 2*n**3\/3 - n**2. Let h(y) be the first derivative of f(y). Differentiate h(x) wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1098*s - 1068*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183*d**5 + 76*d**4 + 16219*d**2?\nAnswer: -10980*d**2 + 1824*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - 5?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t. Let x(m) = -m**2 + 38*m. Determine x(q(g)).\nAnswer: -49*g**2 - 266*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.06 - -7.5. Let d = 2.691 - y. Let t = 0.051 - d. Sort 0.08, 2, t in descending order.\nAnswer: 2, 0.08, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/31 smaller than -459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 0 (c) 3 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3 + 44*x**2 + 125*x + 82 = 0?\nAnswer: -41, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/10184 and 125\/72.\nAnswer: 91656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36571749020 + 0.26.\nAnswer: 36571749020.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009185 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, c: 1, y: 1, s: 1, b: 3}. Give prob of picking 1 i, 1 y, 1 c, and 1 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -316*p**2 - 8491*p + 19. What is v(-27)?\nAnswer: -1088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 m, and 1 i when three letters picked without replacement from xmiliiiillillimimm?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303810, -303760, -303712, -303666?\nAnswer: -303622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 19*c - 294. Let w = c + -50. Let d be (-9 - (-2 - 0 - 2))\/w. Solve -d*j = p - 4*p + 26, -3*j = -4*p + 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:45 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/305, 0.4, -5782, -10 in ascending order.\nAnswer: -5782, -10, -6\/305, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 628200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**4\/6 + 2777*r. Let m(p) = 1233*p**2. What is q(m(c))?\nAnswer: -3040578*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588519?\nAnswer: 3, 71, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/15827 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1552 and 65\/107476.\nAnswer: 429904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5365385 to the power of 1\/2, to the nearest integer?\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2768.480074 rounded to the nearest 10?\nAnswer: -2770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 1)*35\/14. Suppose 0 = r*q + 5*a - 6 - 79, 4*q = -2*a + 64. What is the second derivative of 80*f - 60*f - 18*f**3 - q*f**3 wrt f?\nAnswer: -198*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6023913m in micrometers?\nAnswer: 602391.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/18 and (-2798)\/(-1344) + 68\/(-119).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -5b6?\nAnswer: 5b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b + 4. Let w be r(-2). Let s be (w\/(-40))\/(2\/(-10)). Suppose 2*y = s*y - 11. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 200*b - 5 = -195*b, y = -3*b + 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q*s**2 - 255*q*s + 29*q + 37731315*s**2 + 51*s + 1 wrt s?\nAnswer: -4*q + 75462630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60882\/11 + 5530. Let z be (-831)\/(-36)*45\/680*4. Let o = z + 1\/68. Calculate the common denominator of l and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuuzuuzuzzuuu. What is prob of sequence uzu?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7097, 9383, 11671, 13961, 16253, 18547?\nAnswer: 20843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -196795\/14 + 14064. Find the common denominator of 775\/(-52) + 6\/39 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v - 6. Let r be u(3). Find the second derivative of -b**3 + 0*b**2 - r*b + 0*b**2 wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*n**4 + n**3 - 32*n**4 - 9*n**2 + 92*n**4 - 1 - 28*n**4 - 2*n to i*n**4 + l*n**3 + y*n + k + h*n**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 17. What is the remainder when 84\/1 + 5\/(-5) is divided by u(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f. Let l(y) be the second derivative of -y**3\/3 + 4*y. Let u(m) = -3*j(m) + 2*l(m). Let t(q) be the second derivative of q**4\/12 - q. Give u(t(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -209*y**2 + 134*y - 45*y + 208*y**2 to the form f*y**2 + v*y + a and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11568041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + o**2 - 3*o - 1. Let j(u) = -3*u**4 - 19*u**3 + 32*u**2 + 66*u - 5. Let r(p) = 5*h(p) - j(p). Factor r(x).\nAnswer: 3*x*(x - 3)*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.36 and -15327.\nAnswer: -15326.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31920 by -22.\nAnswer: 15960\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 n, and 1 s when three letters picked without replacement from {s: 2, a: 1, r: 2, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388438018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -845*y - 5903. Let j be i(-7). Solve -j = -31*b + 29*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*l**4 - 1058*l**2 + 1082*l**2 - 2*l**4 wrt l.\nAnswer: -360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 128 = 4*w, 26 - 6 = -5*w. Suppose 3*m - 720 = -g - 4*g, -m + 240 = g. Calculate the greatest common factor of q and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.292074 milligrams to kilograms.\nAnswer: 0.000000292074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -3 - -2) + -3. Let w = 286 - 290. Let v(a) = a**3 + 3*a**2 - 2*a + 2. Let c be v(w). Which is greater: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-23)\/(v**(-25)\/v*v))\/(v**4)**20)**(1\/62) assuming v is positive.\nAnswer: v**(-39\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -9, -31 in ascending order.\nAnswer: -31, -9, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278061 is divided by 513?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -208 - 5\/3*z**3 - 8405*z - 205*z**2. Factor q(g).\nAnswer: -5*(g + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166\/203 + 17\/14. Calculate the common denominator of 61\/10 and p.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -29. Suppose -q + 3*d = 6, t = -2*q + d + 1 + 2. Sort -5, -10, q, -4 in ascending order.\nAnswer: -10, -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = t + 2*t, 0 = -3*o - 3*t + 21. Suppose 0 = o*k + 5 - 2. Let i be (-49 + k)\/((-6)\/(-84)). Round i to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amam when four letters picked without replacement from {m: 3, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/7 - 604*w + 50160\/7.\nAnswer: 4*(w - 1045)*(w - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56935841*-2.2.\nAnswer: -125258850.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/11)\/k*k)\/((k\/k**(-1))\/k)*k**(-23))**(-1\/2))**(-13\/4) assuming k is positive.\nAnswer: k**(-3419\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 6*q**2 - 6*q + 1. Let u be s(5). Let i = -9 - -7. Let n = i + 3. Which is the closest to -2\/3? (a) n (b) 1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**3 + 18*z**2 - 238*z - 1550. Give q(-6).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 1, g: 1, t: 1, p: 3}. Give prob of sequence gr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 + 103. Suppose 8*c = m + 38. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.6 - -3.2. Sort 0, -0.3, t in increasing order.\nAnswer: t, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28607495 less than -0.3?\nAnswer: -28607495.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6230604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5689930, 5689932, 5689934, 5689936, 5689938?\nAnswer: 5689940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36, 197, 684, 1695, 3428?\n\"Answer: 33*t**3 - 35*t**2 + 35*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39305021 and 1981.\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9496 - 2091 + 29703)*(-1 + 2 + 0)*(-2*s + s + 0*s)*(5*s + 0*s - s) to g*s**2 + l*s + h and give g.\nAnswer: -148432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 3*u**2\/2 + u + 4. Let y be x(-2). Put -3, y, -2 in descending order.\nAnswer: -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2\/(-36)*(-57)\/266). What is the highest common factor of i and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(sqrt(11) + sqrt(33)\/sqrt(3)))\/(sqrt(72)*1).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -26*f**4 + 8*f**3 + 12*f**2. Let i(g) = 9*g**4 - 3*g**3 - 4*g**2. Let l(q) = -8*i(q) - 3*w(q). Find the third derivative of l(u) wrt u.\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -13 (b) -1\/2 (c) -2\/11 (d) 1\/13 (e) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 210102212?\nAnswer: 210110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32772089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3*z - 277395, 4*c = -19*z + 14*z + 369878. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**2 + 79*o - 20. Let j be g(-14). Solve 3*r = -v - 10, -3*r + j = 5*v - 8*r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46861840 greater than 46861837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/3 (b) 0 (c) -9821\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000906 to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6) - (-13)\/(117\/12). Solve -1\/4*n**q - 3\/4*n - 1\/2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270217729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 7*u + 3. Let g(a) = a**2 - 3*a + 2. Let l be ((-1)\/3)\/((-4)\/(-60)). Let h(k) = l*g(k) + 3*m(k). What is h(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7442.7 millilitres?\nAnswer: 7.4427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/28)\/(1\/(8\/15)). What is the biggest value in u, 16, 5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h + 237923000 = 0. Let d = 233 - 228. Suppose 0 = -d*n + h + 25415400. Round n to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -195527\/18 + 10866. Find the common denominator of -89\/2 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b + -2?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51907.438 rounded to the nearest 100?\nAnswer: 51900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3862 by 4.\nAnswer: -1931\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55286230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*l - 33*l - 43*l + 6*l**2 + 110*l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11121221022 (base 3) to base 6.\nAnswer: -1541355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1341011 (base 5) to base 9\nAnswer: -41811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/9129680 and -43\/6511610.\nAnswer: 885578960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 5*d. Let v be b(5). Let n be v\/(4\/4 - -1) + -1. What is the nearest to n in -0.3, 1.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/13503043 and -49\/321351.\nAnswer: 688655193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070812.3 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/18 and 59\/109230.\nAnswer: 327690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2518716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2701537.\nAnswer: -4\/2701537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 3*n**2 - 11*n. Let a be z(5). Let v(j) = -15*j + 30. Is v(a) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Let q(h) be the second derivative of 7*h**4\/12 + 10*h. What is q(a(o))?\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1987, -15491, -52189, -123691, -241607, -417547, -663121?\nAnswer: -989939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 + 6*f + 43. Let o(p) = -p**2 + p - 1. Determine -l(w) + 6*o(w).\nAnswer: -2*w**2 - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 19*k - 6. What is r(-15)?\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*s + 2. Let j(i) = i**2 + 4*i. Let h be j(s). Let l = h - -14. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0 + 2. Suppose -a - 3*a = -3*w - j, -a + 24 = 4*w. Suppose -2*b + 2*h = 10, 4*b = -b + a*h - 22. Sort 0.4, b, 0.1.\nAnswer: b, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjpjhjjjr. Give prob of picking 2 p, 1 h, and 1 j.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13939525609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r. Let p(s) = 70*s**2. Determine p(w(x)).\nAnswer: 630*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -333 - -1890. Calculate the highest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11002001101 + -12?\nAnswer: 11002001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 25. Let z = -22 - s. Is -14 equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11484700807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:49 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286735911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from zzzukzukedzzuuudku?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 208054475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*3\/((-63)\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 397.7837ml?\nAnswer: 0.3977837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -13, 1, -0.3, -2\/175?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(165)*3 + sqrt(165) + sqrt(165))\/(sqrt(605)*1))\/(-6*sqrt(11)*4 - sqrt(121)\/(sqrt(110)\/sqrt(10))).\nAnswer: -8*sqrt(3)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 17 = -2*d + 7, 4*d = 4*h + 24. Suppose -d = -0*c - 4*c. What is the greatest common factor of c and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 1513347.\nAnswer: 20\/1513347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*u**3 + 6*u**2 + 3*u + 114?\nAnswer: -282*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p + 1008 = 35*p. Calculate the least common multiple of p and 16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -328 - -329.015. Let h = 0.025 - r. Let q = -0.9947 - h. What is q rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 15*h - 14. Let x be (42\/9)\/((-4)\/12). Let m be p(x). Solve 2*d + 2 + 0 = m, d + 3 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1783, 3584, 5397, 7228, 9083?\nAnswer: 10968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3930 = -23*k. Let z be 6\/(-18) + 2\/6. Suppose -n = -z*n - 33. What is the remainder when k is divided by n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1526503?\nAnswer: 11, 73, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 19, -3, -166, -1, 0 in descending order.\nAnswer: 44, 19, 0, -1, -3, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -274, -412, -550, -688?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190.005 - 80.883. Let r = 109 - p. Round r to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1297 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11185098 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + (-11 - -7) + -5 - (16 - 2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnxj when four letters picked without replacement from {x: 1, j: 2, s: 3, t: 10, n: 2, q: 2}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/5629038 and 14\/422907.\nAnswer: 163242102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxox. Give prob of picking 1 o and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 61714889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**4\/24 + 5*t**3\/3 - 13*t**2 + 6*t. What is b(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -14569*o. Let h(n) = 9*n**2. Give h(q(k)).\nAnswer: 1910301849*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 - -92. Let x be (-60)\/b - 6 - (-122)\/4. Let t(c) = -1 + 66*c**2 - 19*c**2 - x*c**2. Calculate t(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - ((-1*sqrt(119) - sqrt(119))*6 - sqrt(119) - sqrt(119)) - -1*(sqrt(119) + sqrt(119)*-2))\/(-4*(sqrt(252) + sqrt(28))\/sqrt(4)).\nAnswer: -7*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**5\/20 + q**4\/3 + q**3\/2 + 15*q**2 + 131*q. Calculate t(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 14547 + 52526 - 409427.\nAnswer: -f - 342354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 3*g**2 + 12*g - 5*g**2 + 4*g**2.\nAnswer: 3*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/10388 and -119\/12?\nAnswer: 31164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynw when three letters picked without replacement from {y: 5, n: 2, q: 1, w: 1, l: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -67 - -1?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 12 = 2*k + 2*k, q - 3 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2. Let v(u) = -22*u**2 - 3*u - 11. Let y(q) = 28*q**2 + 4*q + 11. Let l(t) = 4*v(t) + 3*y(t). Give x(l(f)).\nAnswer: -64*f**4 - 352*f**2 - 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 - (-22)\/6. Suppose o + 64 = -n*o. What is the tens digit of o\/(-2)*(-10)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m = -33 - 21. Suppose -195 = -m*a - h, -a - 4*h + 63 + 31 = 0. Calculate the remainder when a is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 165 = -29. Let h = -131 - g. Solve 23 = -h*x + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4920093 to the power of 1\/2, to the nearest integer?\nAnswer: 2218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 14 = 3*a + 4*q - 4*q, -2*q - 3*q + 50 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/932 and -5\/8.\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13993*d + 13993*d - 1467*d**3 + 1166 wrt d.\nAnswer: -4401*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49\/2*q - 110 - 1\/2*q**2.\nAnswer: -(q - 44)*(q - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 33858145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 34 = 4*x, 52 = 3*l - 2*x - 3*x. Suppose -l - 114 = 19*q. Let i(d) = d**3 + 6*d**2 - 6*d - 3. Give i(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d = -3. Let o(i) = i**3 + 4*i**2 + 3*i + 2. Let w be o(d). Let p(c) = -4*c + 0*c**2 + c**2 + c**2 + 0*c**w. Calculate p(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 37?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 19. Let i = -10 + j. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*c = 0, 2*c + 82 = 5*f + 81 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**2*v**2 + 431577*i**2*v + i*v**2 + 653*v**2 wrt v.\nAnswer: -16*i**2 + 2*i + 1306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -11*s**3 - 24*s**2 - 26*s + 16. Let n(w) = 4*w**3 + 8*w**2 + 9*w - 5. Let f(j) = -8*n(j) - 3*u(j). Does 14 divide f(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12)\/((-266)\/(-56))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u + 4. Let b(w) = -8*w**2. Calculate h(b(x)).\nAnswer: 64*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 q, and 1 l when three letters picked without replacement from {q: 1, p: 8, z: 3, w: 2, u: 3, l: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-3 - 4) + 18 + -43.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 4*l**2 - 4*l**3 + l**2)*(2*l + 0*l + 11*l).\nAnswer: -26*l**4 - 39*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6\/(-3) - (-447453)\/83?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 712 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/5 (b) -4 (c) 6\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*p = 81*p - 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 0.2035?\nAnswer: 0.7035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 43*d - 40. Let x be s(42). Sort 0, x, -4, -7.\nAnswer: -7, -4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 34. Let x be (2 + (-95)\/z)*-3. Which is the third smallest value? (a) x (b) -1\/6 (c) -5 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1237068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 75 + 4\/(-4) - (-5 + 8). Let b = f - 495\/7. Factor -b*h**2 + 2*h - 12\/7.\nAnswer: -2*(h - 6)*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*l + 156*l - 312*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-2 - -3 - 4). What is the second smallest value in s, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 2 - 28) + (-3 - -2). Let f be q\/42 + (-17)\/(-3). Suppose -16 = 3*c - 2*i, -f*c = -8*c - i - 1. Sort -0.5, c, -1, -0.2 in descending order.\nAnswer: -0.2, -0.5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - 1. Let o = -55\/12 + 21\/4. Which is the closest to -1\/2? (a) o (b) -1\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(28) - sqrt(7) - sqrt(7)) + sqrt(42)\/sqrt(6) + 3 + -1 + 1 + sqrt(567) + 3 + sqrt(567) + -1)**2 + 4.\nAnswer: 250*sqrt(7) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 84460.75 meters?\nAnswer: 84460750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9443 divided by 7\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-3*sqrt(1872)*1)**2 + -5 - -4*(-3*(-5 + sqrt(1872)))**2))*-3.\nAnswer: -255417 + 12960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.992 + -0.008. Let x = 34.74 + m. Let h = x - -0.22. What is the biggest value in 2\/15, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -637\/188767?\nAnswer: -637\/188767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, x: 2, y: 2, d: 4, r: 1}. What is prob of picking 1 d, 1 x, and 2 y?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7291, 7282, 7267, 7246, 7219, 7186, 7147?\n\"Answer: -3*p**2 + 7294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -231*a + 6024. What is b(26)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*1*(1 + sqrt(1700) - (sqrt(2057) - sqrt(2057)*1 - sqrt(17)))**2*-1.\nAnswer: 66*sqrt(17) + 6174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6482988 divided by -21396?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 468 - 472 - 9*s + 2*s**2 - s. Let d be w(6). Let p(b) = -b**3 + 10*b**2 - 11*b - 8. What are the prime factors of p(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000011447 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 21 + 61 = 4*n, 2*q - 2*n - 94 = 0. Calculate the greatest common factor of q and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 69, 127, 185, 243, 301, 359?\n\"Answer: 58*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 2*f**2 - 2*f**2 + (f + 4 - 4)*(-4*f**2 + 2*f**2 + 0*f**2) - 3*f**3 + 2*f**3 + 5*f**3)*(-15*f**2 + 11*f**2 + 22*f**2)*(1 - 2 + 5).\nAnswer: 216*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 167 + 165 - 341. What is the smallest common multiple of z(13) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -0.020277309541?\nAnswer: -0.279722690459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1480, -6 in descending order.\nAnswer: 1480, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 132272818 to the power of 1\/2, to the nearest integer?\nAnswer: 11501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/27 and 58\/9663.\nAnswer: 86967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (0 - (1 - (-1 - -3))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15552 divided by -4?\nAnswer: -3888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 92*f - 6. Let r(k) = -183*k + 12. Let o(s) = 5*d(s) + 2*r(s). Let c(b) = -31*b + 2. Let p(m) = -8*c(m) - 3*o(m). Let w(l) = 2*l**2. What is p(w(u))?\nAnswer: -68*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 times 12357?\nAnswer: -1878264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 100*q**2 + 13106*q + 783. What is c(-131)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*r + 5*m, r + 19 - 3 = -4*m. What is o in -o + 271 - 272 - o + 2*o**3 + o**r = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0518 in -5, -4, -3\/38?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -12253\nAnswer: 36759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -41*l**2. Let c(h) = -h**2 + 2. Let n(k) = 22. Let g(w) = -6*c(w) + n(w). Let s(v) = -3*v**2 - 6. Let f(p) = 3*g(p) + 5*s(p). What is f(y(t))?\nAnswer: 5043*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 248, 0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3069.\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000345708663 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 - (-70 + 39 + 14)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}