diff --git "a/data/dm_maths/full_data_2/8824_11255.jsonl" "b/data/dm_maths/full_data_2/8824_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/8824_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let b(m) = 2*m**3 - m**2 + 7*m - 22. Calculate b(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -620858*j**3 + 1101427 with respect to j.\nAnswer: -1862574*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545*y**2 + 67*y**3 - 71*y**3 - 140*y**2.\nAnswer: -4*y**3 + 405*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -63. Let y be (((-800)\/(-30))\/(-8))\/(d\/(-6)). Solve 2*i - 4*q - 18 = 0, 4 = -y*i - 3*q - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77229911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 7:15 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*b**3*m + 2*b**3 + 3*b**2*m - 2676*b**2 - 1072*b*m - 2351*b wrt b?\nAnswer: 42*b*m + 12*b + 6*m - 5352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 26 = 7*j + 2*u, 5*u + 7 = 4*j. Solve -j*c + 6*c = 14 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -204*h**3*l**5 - h**3*l**2 - 63*h*l**2 wrt l.\nAnswer: -12240*h**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3211115*i*l - 291384*l wrt i.\nAnswer: -3211115*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -347*n**2*u - 572*n**2 wrt u?\nAnswer: -347*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 168 + -1178\/7. Let w = -178 + 177. Which is the nearest to 1? (a) -4 (b) w (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 8*k**2 - 20*k - 3. Let j be n(-3). Suppose 0 = -2*z - 336 + 134. Let c = 197 + z. Calculate the highest common factor of j and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 922658 and 7854.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) -4 (c) 0.5 (d) -15 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 76884337 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 552420020 to the power of 1\/2, to the nearest integer?\nAnswer: 23504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o = 41 - 263 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 16, i: 4}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5241 and 66.\nAnswer: 115302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 260604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, -85, -439, -1131, -2257, -3913?\nAnswer: -6195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 784*u**2 + 11*u + 91. Is w(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 26 + 8 = 0. Let k = 11 + n. Suppose -4*v - 3*s + 403 = 0, -k*v + v + 4*s + 115 = 0. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1115, -1627, -2019, -2291, -2443, -2475?\nAnswer: -2387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d + 5. Let w(a) = -11*a - 6. What is -4*s(b) - 3*w(b)?\nAnswer: -7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n + 0*n)*(-4 - n + 4)*(169*n + 33*n + 100*n).\nAnswer: -604*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165812141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 - 119. Suppose 3*o - o - 2 = -a*v, -o + 2 = 2*v. Solve 0*y - 2\/3 + 2\/3*y**v = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*n*r + d*n - 362323*d*r + d - 387*n*r - 4*n - 2*r wrt n?\nAnswer: 2*d*r + d - 387*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 115*x + 119*x + 12936, -2*x = 2*d - 6492. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 + -4 - (5 + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1045544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 + 34. What is the units digit of k\/(-9)*(-20)\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -17.666 (b) -298 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 40*g + 230. Let c be p(-45). Let h(o) = -o**2 - 7*o - 3. Let n be h(-9). Let t = n + 104\/5. What is the nearest to -1 in c, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*q**2 - 42*q + 42*q - 3*q**2 + 0*q**2 + q**2 + (3 - q - 3)*(-2*q - 4*q + 4*q) + 6*q**2 - 4*q**2 - 3*q**2 in the form r*q**2 + k*q + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 6 = 3*f. Suppose f*p - 96 = -24. Let s = -21 + p. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135044323?\nAnswer: 135044323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3016 and 3.6.\nAnswer: 10857.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 40, -2, 2 in decreasing order.\nAnswer: 40, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37808107 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 a when three letters picked without replacement from {q: 3, a: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 4)*(3 - 4 + 2)*(-25*k**3 + 25*k**3 - 4*k**4) as p*k**2 + q*k + m + r*k**3 + a*k**4 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at most as big as 95.107047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 16, 22.54, 2\/19, -6 in descending order.\nAnswer: 22.54, 16, 5, 2\/19, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103150 is divided by 336?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1882*j + 15 = -1879*j. Factor 0*k**4 + 0 - 2\/5*k**3 + 0*k + 2\/5*k**j + 0*k**2.\nAnswer: 2*k**3*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -11110100011?\nAnswer: 11110100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.67 + 42.07. Which is the third smallest value? (a) 4 (b) z (c) 55\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115012 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2054306?\nAnswer: 2, 1027153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufxuududuauafuu. Give prob of picking 1 a, 1 f, and 1 x.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 k when four letters picked without replacement from {w: 5, k: 7}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((2 - 6) + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4 + 349779*a**3 + 2098593*a**2 + 3147849*a = 0.\nAnswer: -116587, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -144*r**3 - 43*r**2 - 5*r - 111. What is the units digit of x(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15217.6325 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 12:11 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3 + 160472*y**2 - 3049311*y + 2888838 = 0?\nAnswer: -160491, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - 149. Let b = -169.83 - q. Let p = -1.13 + b. Sort p, -3\/7, -0.4.\nAnswer: -3\/7, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4729328?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 8*a**4 - 57*a**3 + 2 + a**2 + 123*a**3 - 67*a**3 + (-2 + 2 - a**3)*(2*a - a + 3*a).\nAnswer: 4*a**4 - a**3 + a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01138 + 0.01138. Let p(x) = -x. Let b be p(-1). What is the closest to b in g, 1, 0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12621 + 12632. Solve 4*v + 70*a - 75*a = -o, -3*v - 5*a = -18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*r**2 + 351526*r - 2490014 wrt r.\nAnswer: -14*r + 351526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*a**3 - 1 + 1 - 110*a**3.\nAnswer: 47*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 641 (c) 46 (d) -0.183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8617 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 2, y: 1, i: 1, x: 2, f: 1}. Give prob of picking 1 i and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 23*w - 2 + 11)*(-2 + 0 - 4)*(-4*w + 2*w - 4 + 3*w) to y*w**2 + t + r*w and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38500, -74201, -109902, -145603, -181304, -217005?\nAnswer: -252706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, g: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) -0.5 (c) 0.003 (d) -22 (e) -2\/115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyrrrkrrryyhrrryr. Give prob of sequence hy.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/9 - 7936*x**3\/9 + 1228752*x**2 - 6571531904*x\/9 + 1423278412192\/9.\nAnswer: 2*(x - 1742)*(x - 742)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/4 and -55\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - ((-2 - 2) + 2). Suppose -2*k = u - 5*u - 4, 2*u + 5*k + 14 = 0. Does 13 divide u + 18 + (0 - c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(0*l + 6*l - 13*l) - 456*l - 2 + 479*l + 3.\nAnswer: 9*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 - 24. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**3 + 12*z**2 + 6*z - 12. Give b(-4).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 2, r: 1, t: 1, m: 1, i: 1}. What is prob of sequence qj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1068236424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/430262 and -25\/146.\nAnswer: 430262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 8:53 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 5*r + 9. Suppose 0 = 27*y + 4 - 193. What is h(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13075140 divided by 100578?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.42 + 9.08. Let x = -296 + 286. Let z = x + o. What is the second smallest value in 3\/7, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42889 and 3528.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15210 and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*c - 3479, -7*c = 5*j - 8*c - 5761. Calculate the remainder when j is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 12\/5*k**2 - 2\/5*k**5 - 14\/5*k**3 + 16\/5*k - 12\/5*k**4 + 0 = 0.\nAnswer: -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 20, -2, 2\/7, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + a**4)*(465 - 48 - 66 + (0 + 2 - 5)*(1 + 2 - 1)).\nAnswer: 345*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2927, 2942, 2987, 3080, 3239?\n\"Answer: 3*z**3 - 3*z**2 + 3*z + 2924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253 and 6222029.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1\/21, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 3*n**2 - 2*n**2)*((-7 + 2 + 1)*(3 - 3 - 2) - 6 + 2 + 3) + (2*n + 2*n - 6*n)*(4*n - n - n) - n**2 + n**2 + n**2 - 2*n**2 + n - n.\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 5*z - 1. Let w be d(6). Let k = w + 15. Suppose -49*q + 44*q = 36*q - 943. Solve 4*s + g + q = 0, -4*s + k*s - 4*g + 8 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-1)*(24\/(-64))\/((-27)\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/22)\/((-145)\/(-58)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53410 + 2010?\nAnswer: -51400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 270, -14, -34731?\nAnswer: -34731","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37694 is divided by 18804?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 741 = -9*p. Let l = -247 - p. Solve b + 2 = l, b = 3*q + q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 986, 1931, 2816, 3635, 4382, 5051?\n\"Answer: -q**3 - 24*q**2 + 1024*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -507\/2849 + -1\/259. Let g = -55 - -35. Let u be (-2)\/g*(-5)\/2. Is c <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/9 - 472*t**2\/9 + 2318*t\/9 - 616\/3.\nAnswer: 2*(t - 231)*(t - 4)*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134696 = -96*r + 121448 for r.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*-4*sqrt(120) - sqrt(120)))\/(sqrt(18)\/(sqrt(30)\/sqrt(10)) - (sqrt(6) - sqrt(540)\/sqrt(10))).\nAnswer: -130*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + n + 0*n = 4, 2*w - 3*n - 4 = 0. What is the derivative of 6 - 1 + 7*z**w - 1 wrt z?\nAnswer: 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is be5393 + 1?\nAnswer: be5394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 4*m - 42, -5*w - 45*m - 12 = -48*m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*a**5*l - 2*a**4*l - 3*a*l - 4*a + 4*l wrt a?\nAnswer: -1200*a**3*l - 24*a**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43878*4.1.\nAnswer: -179899.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 210887975569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.63 - -0.73. Which is the closest to l? (a) -4 (b) 2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61574 meters in micrometers?\nAnswer: 615740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 - 5*q**2 + 21*q**2 in the form f*q + x*q**2 + j and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 5\/4, -9, 0.4, -0.5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/88 and 73\/4464.\nAnswer: 49104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(4))\/sqrt(12) + (sqrt(125) + 1 + sqrt(125))**2.\nAnswer: 21*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6443*v + 167709. What is k(-26)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**4*q)*q)\/q)\/q**(-3))**(-6)\/(((q\/(q\/(q**(2\/7)\/q)))\/q)**(-27)*q**(-3\/5)*q**(-2\/9)\/q) assuming q is positive.\nAnswer: q**(-25346\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 - 2492*g**3 - 101544*g**2 - 1140048*g - 2573856 = 0. Calculate g.\nAnswer: -18, -3, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538512749.\nAnswer: 3, 170945861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeveevevuueeuevee. What is prob of sequence euee?\nAnswer: 143\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -295, -475, -655, -835, -1015?\n\"Answer: -180*z - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2904\/5? (a) -1 (b) -3\/5 (c) -4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -604 to the nearest ten.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**4\/2 + x**3\/3 + x**2\/2 - x. Let b be (-8)\/(-12) + ((-6)\/9 - 1). Determine j(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2.2. Suppose 7 = 2*c + 3. Let m be (10\/40)\/(6\/(-8)). What is the nearest to m in c, 2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 - 3*o + 4. Let c(h) = -1. Let j(q) = 2*c(q) + v(q). Does 12 divide j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (141 + -177 + 36).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 0. Suppose -l = -3 - c. Calculate the remainder when 64 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-1 + sqrt(78))*5 + -3*2*sqrt(78))\/((sqrt(42) - 6*1*sqrt(42))\/sqrt(7)).\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - sqrt(14)*2*-5)\/(sqrt(50) + -2*sqrt(50)) + 3 + ((sqrt(28)\/sqrt(4) + -5 + (sqrt(63)*-2)\/sqrt(9))*6)**2*6.\nAnswer: 10789*sqrt(7)\/5 + 6915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6221210 is divided by 365953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z - 2. Calculate the remainder when -4 + 59 - (3 + 0 - -3) is divided by f(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 503, 155, -259, -733, -1261, -1837, -2455?\nAnswer: -3109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, -10, -12, 0, 32, 90, 180?\n\"Answer: v**3 - 2*v**2 - 11*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 19. Let g be y(-8). Let i be 521\/4 + 2\/(-8). Suppose 2*x - 3 = -3*d + 49, i = g*x + 4*d. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + ((3 - 5) + 2 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 37711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -18)\/(6 + -5).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27834 - 75*k**2 + 27837 + k**2)*(-5 + 3*k + 5).\nAnswer: -222*k**3 + 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*n - 5)*(0*n**2 - 3*n**2 + 2*n**2) + 478721 - 998*n**3 - 12563*n**3 + 2400*n**3 - 478721.\nAnswer: -11163*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/1 - (-11072)\/56. Let j = u - 1338\/7. Factor 4\/7 - j*y + 8\/7*y**3 + 6\/7*y**2.\nAnswer: 2*(y - 1)*(y + 2)*(4*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*x**4 - 20*x**3 + 6*x**2 - 30095 with respect to x.\nAnswer: -160*x**3 - 60*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 5. Suppose -3*i - 3*n + 30 = 0, 4*n = -4*i + 2*n + 30. Suppose 5*s = -5*j + 26 + 29, 5*j + i = 5*s. Calculate o(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 53.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -206*v + 12465. Calculate g(65).\nAnswer: -925","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 859832 and 7728.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 2*f**2 - f + 1. Let m be i(-2). Is 15 a factor of (-2)\/(18\/m)*-45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(sqrt(28)\/sqrt(4) + sqrt(7)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 2*q - 2*q)*(-142 - 1941*q + 121 - 226*q + 21).\nAnswer: -2167*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522872 (base 9) in base 10?\nAnswer: 1904861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4 + 2. Let w = 141 - 141.2. What is the second biggest value in -2, 2\/11, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -492 + 1426. Let l = s - 390. Is l a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (28\/7 - 2). Let t be (-9)\/1*(40\/15 + -3). Sort t, -7, -3, v in ascending order.\nAnswer: -7, -3, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 14*w**2 + w**2)*((-7*w + 7*w - w)*(-1 - 1 + 1) + 4*w - 2*w + 0*w + 0*w + w - 2*w) + 3*w + w**3 - 3*w + w**3 + 3*w - 3*w.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - dce8?\nAnswer: -dce3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258120854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**2 + 2*g. Let v(k) be the third derivative of k**4\/24 - 4*k**2. Let h(q) = a(q) - 2*v(q). Let m(i) = i. Give m(h(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**3\/3 - 6*t**2 + 4*t + 6. Suppose -3*q - 2*o = -4, 3*o - 6 = 5*q - 0*o. Determine w(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or -199?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**5 + 60*a**4 - 628*a**3 - 188*a**2 + 1728*a + 1232 = 0 for a.\nAnswer: -22, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 739.5134 milligrams to nanograms.\nAnswer: 739513400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26498849 or -26498855?\nAnswer: -26498855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + q - 5 - 8, 4*x = -2*q - 14. Let c be 1 - (1 + (-31)\/x). Let v = -1925 + 1919. Are c and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 12:55 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/17, 4.1, -29\/80?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116211, -116116, -115983, -115818, -115627, -115416?\nAnswer: -115191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1750\/196 + -11 + (-4)\/(-7). What is the closest to -2 in 2\/9, -3, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 237 and 1612311?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s - 8. Let j(t) = 6973*t**2 - 20*t + 9. Calculate v(j(p)).\nAnswer: -27892*p**2 + 80*p - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1213\/10 - -127. Find the common denominator of a and -107\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10870\/14504 - ((-202)\/(-248) + 22\/(-341)). Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**2. Let i(d) = -42*d. What is i(z(r))?\nAnswer: 378*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3 - 8*x**2 - 112*x - 256 = 0 for x.\nAnswer: -4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2459\/13 - 189. Suppose r + 15 = 18. Let n(k) = -k**2 + 2*k - 1. Let c be n(r). Put a, -0.4, c in decreasing order.\nAnswer: a, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, j: 1, s: 5, v: 2, i: 1}. What is prob of picking 3 x?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (8 - (8 - -14 - -1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**2 + d + 4. Let x(w) = w**2 + 1. Determine -2*u(o) + 6*x(o).\nAnswer: -2*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 552597 or 552595?\nAnswer: 552597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(343) + 0))**2.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129213 = -8093*k - 97391 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 10:58 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -9*n**4 - 25*n**2\/2 + 15. Find the second derivative of j(h) wrt h.\nAnswer: -216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 4*k**3 - k**3)*(4*k - 5*k + 5*k) + (k**4 - 3*k**3 + 3*k**3)*(-3 - 3 + 4).\nAnswer: -14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4873*w**2 - 4872*w**2 + 3*w + 634 + 3*w - 628. Suppose -2*l + 1 = -3. Let g be -1 - 2 - -1 - l. What is s(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -38 + 41 + 1 + -1. Put 16, h, 6 in descending order.\nAnswer: 16, 6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3782\/7 + -540. Let z = 1.97 - -0.03. Which is the closest to w? (a) -4 (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3309+-14368.7189\nAnswer: -14368.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 29.96, -1\/3, -1.13, -3 in decreasing order.\nAnswer: 29.96, -1\/8, -1\/3, -1.13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.6 - 34.59999903. What is q rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1333102 (base 5) to base 10\nAnswer: 27277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/20 or -467532?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + (-2 - (-3 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 103*h + 37. Let v(z) = 515*z + 186. Determine -14*m(y) + 3*v(y).\nAnswer: 103*y + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 9*v**2 - 3*v + 17. Let x be u(-5). Suppose 0 = 4*s - x*m + 4*m - 25, 11 = -s - 5*m. Suppose 9*a - s*a + 405 = 0. Are -80 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in 4, -1, -0.1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 151, -0.2 in descending order.\nAnswer: 151, 5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79684801 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26883407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3855.7 + 3856. Which is the third smallest value? (a) 1\/17 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1121 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at most as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from aweewww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/246753 + 1423627\/6415578. Find the common denominator of x and -87\/104.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35534.\nAnswer: 2, 109, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 37. Let i be t(-16). Suppose -16*x + i*x - 20 = 0. Solve 5*v - x = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -319 + 13077\/41. Is -1 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -61. Let x = a - -19. Suppose x*k = -k + 384. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35522 and 16?\nAnswer: 284176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2364 is divided by 448?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*v - 8 - 52 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 585, 1586, 3003, 4836, 7085, 9750, 12831?\n\"Answer: 208*a**2 + 377*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -403659274.839904 - -403665043. Let g = m - 5768. Let f = g + -0.16. What is f rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**4\/4 - 13*t**3\/3 - 7*t**2 - 2*t - 1. Let k = 7 + -19. Is 8 a factor of m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222121212122 + -111?\nAnswer: 2222121212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*((-416)\/715 - (-7)\/(70\/4)). What is the closest to 1\/3 in l, -3\/2, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 9926512*u - 9926510.\nAnswer: -2*(u + 1)*(u + 4963255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -0*k. Do 3\/20 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346603 (base 7) to base 12.\nAnswer: 30124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 246074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*o + 46 = 0, -4*l + 7*l - 26 = 2*o. Let y be 0 - -34 - (7 - 3). Calculate the greatest common divisor of y and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.98 - -8. Let m = 0.22 - b. Let z = m - 0. Put 4\/5, -2, z in descending order.\nAnswer: 4\/5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*t + 1911 + 1052*t + 676*t.\nAnswer: 1302*t + 1911","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 27, 5, 3.\nAnswer: 3, 4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, j: 2}. Give prob of sequence jcjc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (39\/(-6))\/((-20)\/64040). Suppose -40*r + 2547 = -i. What is the greatest common factor of 73 and r?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-1)\/3)\/(((-4298)\/250512)\/((-126)\/48)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 9726 + 15*l + 0*l - 16*l.\nAnswer: 2*l + 9726","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -189, -5 in increasing order.\nAnswer: -189, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 12 = 9*t + 3*s, -5*s - 28 = -4*t. What is the smallest common multiple of t and 3422?\nAnswer: 20532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1) + (-84)\/132. Let p = -10 - -10. What is the smallest value in p, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**6\/150 + u**5\/100 - u + 2. Let a(r) be the first derivative of d(r). Factor a(c).\nAnswer: c**3*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 793930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147609 and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from {h: 7, d: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(52) - sqrt(52)) + 1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -ace93da?\nAnswer: ace93de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 40232122 divided by 5747446\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {d: 1, x: 2, j: 1, w: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -y - 1 + 12, 2*j - 2*y = 14. Calculate the highest common divisor of 236 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:06 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 4*q**2 + 2*q**2)*(-8*q + 4*q**2 + 8*q - 2*q**3).\nAnswer: -2*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*j = 8*j - 20, -3*j = 4*o + 11. Let t = o + 7. Suppose -344000 = t*x + 2*x. Round x to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128994 and 246?\nAnswer: 5288754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 128\/(-672)*4\/(-48). Which is bigger: t or -16?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/3 + -14 - (4 + 0). List the prime factors of 12\/(-2)*((-340)\/(-24))\/h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4856 or 334?\nAnswer: -4856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 + 243*u - 3571. Determine m(57).\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 = 4*a + 5*o, 6*a + 2*o = 5*a + 101. Suppose 45 = 4*t - a. Calculate the greatest common factor of 28 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 1058.5577?\nAnswer: -5292.7885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1661 by 213.\nAnswer: -1661\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -646, -993, -1480, -2053, -2658?\n\"Answer: 9*g**3 - 124*g**2 - 38*g - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -622, -1249, -1878, -2509, -3142?\n\"Answer: -b**2 - 624*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2\/7, 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 29*a**2 - 51*a + 85. Give l(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 - 145*t - 855. Calculate h(-6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*m = -2*z + 417, 0 = -2*z + m + 278. What is the remainder when z is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 856 + -106. Let b = l + -344. Is b a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 573787.8 centuries?\nAnswer: 688545360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a - 1. Let q(m) = -m. Let w(s) = -k(s) - q(s). Suppose 5*d + 23 = 2*y, -3*d + 8*d = 3*y - 22. Give w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127336447.\nAnswer: 7, 41, 241, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -11\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 1. Let a be s(-1). Suppose a*g = -g + 30. Is 22 a factor of 246\/g + 24\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2447030*v + 0 - 2 + 2.\nAnswer: -2447030*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 11*x + x + 0.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t**3 - 39*t**3 + 65*t**3 - 9*t**3 + 11957 to s*t + z*t**2 + u*t**3 + o and give o.\nAnswer: 11957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*u - 4563 = -3043 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) + (-10)\/24. Let d = 19 - 10. Let n = d - 11. Which is the closest to n? (a) 2\/19 (b) -2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 12*t**2 - t - 11. Let c be l(-12). Solve -11 + c = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011060 rounded to the nearest 10000?\nAnswer: -2010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2 + 128624*u + 128622 = 0. Calculate u.\nAnswer: -64311, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1184 divided by 772920?\nAnswer: -148\/96615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*k - 6034 - 77117 = -445*k - 17463 for k.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -g + 51, -5*g + 325 = -0*g + c. Let y = g - 41. Calculate the highest common divisor of y and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g + 20. Let v(r) = 2*r + 7. Let m = -12 - -6. What is m*c(h) + 17*v(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 6:40 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 14 - 10 - 11*m.\nAnswer: -11*m - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 5*k**2 + 49*k - 8. Suppose 561*f - 100 = 571*f. Determine u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100521 and 510?\nAnswer: 1005210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/7 + 32*a**4 + 2810*a**3\/7 - 207012*a**2\/7 + 783360*a\/7 + 12484800\/7 = 0 for a.\nAnswer: -68, -6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**3*y**2 - w**3*y + 7*w**2*y**4 - 299*w**2*y wrt y?\nAnswer: -6*w**3 + 84*w**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 2 = 18*a. Let l = -2 - -5. Suppose l*z + 5 = -5*i + i, a*i - 4*z = 14. Let j(q) = 3*q**2 + q - 1. Let k(s) = s - 1. Determine i*j(h) - k(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44 - -6?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*w + 153, -4*g + 60 = 5*w - 52. Is (4\/2 - g)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -278.5 - -278. Do v and 1\/21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22550441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161175 to the power of 1\/2, to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 161\/(-23) + (-267)\/(-39)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfze when four letters picked without replacement from ziitfpzeztez.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2232 (base 5) to base 13\nAnswer: -1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v - v)*(2649 - 1911 - 1590)*(-2 + 6 - 2)*(1 - 1 + 1).\nAnswer: -3408*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 975802494 divided by 130682?\nAnswer: 7467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 9. Let p(g) = g - 7. Let w(v) = -3*o(v) - 5*p(v). Suppose 3*h + 15 = 0, -4*l - h = -3 + 8. Calculate w(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**4\/2 - 38*v**3\/3 - v**2 + 7*v - 30. What is the second derivative of i(u) wrt u?\nAnswer: -12*u - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by -1360.\nAnswer: 53\/1360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1827 - -57011?\nAnswer: 55073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26424 and 193597638.\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/3)\/(-7))\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 31431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3 + 3868*q**2\/5 + 24354*q\/5 + 4716\/5 = 0.\nAnswer: -6, -1\/5, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2785553 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.044 in 3, -0.208, 2\/3?\nAnswer: -0.208","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -790 + 769. What is the second smallest value in -1\/5, 0, k, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.433043 rounded to 3 decimal places?\nAnswer: -0.433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4992\/1344)\/((6\/5)\/((-14)\/(-15)))?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0823 and 53.\nAnswer: -4.3619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(95)*-1 - -3*sqrt(95)*-1)\/(((sqrt(420)*1)\/sqrt(7))\/(sqrt(300) + sqrt(300) + (sqrt(300) - sqrt(300)*-2))).\nAnswer: -50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-6))\/((-72)\/(-192))*(-1 - -5). Solve -69 = -i*j - 37 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 236, 455, 668, 875, 1076, 1271, 1460?\n\"Answer: -3*g**2 + 228*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396108, 792113, 1188114, 1584111, 1980104?\nAnswer: 2376093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -75404?\nAnswer: -75410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3*(-220)\/18)\/(1\/3). Suppose -8*c + 13*c = r. Which is smaller: 23 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7385026?\nAnswer: 2, 11, 61, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 + -185.6. Let i = w + 25. Let k = 0.3 - 1.3. What is the closest to -2 in -0.1, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2198, 2187, 2170, 2147, 2118?\nAnswer: 2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-27435)\/(-3465) - -3*(-10)\/495 and -83\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/((b\/b**(-4))\/b)))**(-38) assuming b is positive.\nAnswer: b**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 - -1.17. Let o = -1 + i. Let x = o + -0.3. What is the closest to -1 in 0, -2\/15, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 407286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 32*b - 20*b = -540 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = 6*h - 133. Let y = h + -59. Suppose y = 13*t - 5*t - 424. Is 27 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 31611 = 5*r, 15806 = 4*c - 3*c - 2*r. Is 42 a factor of (-8)\/18 + c\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 59. What is the smallest common multiple of 186 and m(11)?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2956, 6054, 9160, 12268, 15372, 18466, 21544?\n\"Answer: -d**3 + 10*d**2 + 3075*d - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(272) + sqrt(272)*-2))\/(sqrt(24)\/(sqrt(12)\/sqrt(4))))\/(-6*(sqrt(200) - sqrt(200)*1) + sqrt(200) + (sqrt(200) - -3*sqrt(200)*-2)))**2.\nAnswer: 17\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-54) - -31*(-3)\/(-126).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 - -1 - (-7 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 775\/33 + -71\/3. Let k = 4253.5 - 4253. Sort k, l, -4, 2\/23 in ascending order.\nAnswer: -4, l, 2\/23, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2508 = -12*x + 14*x, l - 1269 = -2*x. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0)\/((-2)\/2). Let z(a) = -2*a**2 - r - 3*a**2 - 4 + a. Suppose -14*u = -21*u - 28. Let q(o) = o**2 + 1. Calculate u*q(f) - z(f).\nAnswer: f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64845561, -129691119, -194536677, -259382235?\nAnswer: -324227793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3299167930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s - 4*u = 36, 20 = -4*u. Factor 72*w + 14*w**2 + 91*w**2 - 5 + s + 9.\nAnswer: 3*(5*w + 2)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 24.3, 316?\nAnswer: 24.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k + 4. Calculate the smallest common multiple of 18 and h(8).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7149367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -299*f + 282*f + 34 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35028599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 1\/2*d**4 + 0*d + 9 + 5\/6*d**3 + 1\/10*d**5 + 1\/2*d**2. Factor j(q).\nAnswer: q*(q + 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80425 is divided by 26806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**2 - 29*c + 3 + c**3 + 12*c - 1. Let j be l(7). Find the common denominator of -2 - (4\/j + 1436\/(-240)) and -45\/38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 93, 0, 5 in decreasing order.\nAnswer: 93, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 7:42 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230 + 239. Suppose 9 = 4*j - 5*y, 2*j - 44*y = -43*y + x. Solve -t = -3*t + j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 11 = 4*j - 0*j, -2*z + 2*j = -4. Let h(l) = -l**3 - 17*l**2 + 26*l + 2. Let y be h(-18). Is y\/(z + (-9)\/(-15)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14341632 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 8 = -13*r. Suppose 3*t + 8 = -2*j, -3*j - 17 + 5 = 0. Let z(b) = 2*b**r - 6*b**2 + t*b**2. Let p(d) = 2*d. Give p(z(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -4.94.\nAnswer: -49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 907*d + 16 = 909*d. Suppose d*x = i + 3*x - 676, 3*x + 668 = i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 6*n + n + 55, 2*r - 62 = 3*n. Suppose 26*v - 22*v - 20 = 0. Suppose 0 = v*p - r + 5. Sort -4, p, -5 in descending order.\nAnswer: p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2563*m - 2*m**2 + 2563*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 237 = 24. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9*y*y*y\/y**9)\/(y**(-8)*y**(-5))*(y**5\/y**(-2\/21))**22 assuming y is positive.\nAnswer: y**(2690\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.290409*-3.\nAnswer: -30.871227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 584 or 418?\nAnswer: 584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.7. Let q = h - 0. Which is the closest to -0.1? (a) q (b) 4 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -73, 77 in decreasing order.\nAnswer: 77, 4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10*y**2. Let x = 33 + -31. Let h(i) = 2*i**2 - i**x - 6*i**2 + 7*i**2. Calculate h(l(u)).\nAnswer: 200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118973412 divided by 5.\nAnswer: 118973412\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0656274 centuries?\nAnswer: 0.656274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 70*i = -120956. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - ((4 - 1) + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y - 5. Let q be 57\/18 + (-7)\/42. Let h(p) = -4. Let n(l) = 2*l - 3*l - 3 + 0. Let o(v) = q*n(v) - 4*h(v). Determine 7*i(t) + 5*o(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17587 is divided by 6234?\nAnswer: 5119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 641 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -268 or -265?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**3 + s**2 + s + 1. Let b be r(-1). Suppose -4*h + 9 = -b. Let m(v) = 3*v - 6. Let j be m(h). What is the greatest common divisor of j and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/1509 + -67919\/10563. Let q = -59615\/526061 - 4\/6659. Find the common denominator of q and t.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302 (base 4) to base 8\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1495, 1228, 857, 382, -197, -880, -1667?\nAnswer: -2558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from voovvovvovvvvv. Give prob of sequence ooo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -674305.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, 4\/7, 5, 0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-27)\/(-6))\/(18\/24). Let i be k\/(-18) + (-244)\/6. Let v = -28 - i. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -963 - q - 1371 + 2687 - q**3 as i*q**2 + n*q**3 + c*q + d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -275 + 262. Let o(n) = n**3 + 15*n**2 + 12*n + 15. Calculate the remainder when o(k) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-13)\/(-39) + 16\/(-12) - (3 - 914) and 85?\nAnswer: 15470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, x: 2}. Give prob of picking 2 j.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006861 to 6 dps.\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2*u + 30. Is (-19)\/(-2) - (-3)\/u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcc when three letters picked without replacement from {g: 1, l: 1, f: 1, c: 2, b: 1, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -4 + 1\/2*k**3 - 9\/2*k - 3\/2*k**2. Factor b(t).\nAnswer: 3*(t - 3)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14252118.\nAnswer: 2, 3, 2375353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9137*n**4 - 270*n**3 - 172317401*n**2 wrt n?\nAnswer: -219288*n - 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 5:56 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxlixuxulxxl. What is prob of picking 1 i, 2 u, and 1 l?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*w**3 - 1683164*w**2 - 3616096192*w - 10833145392 = 0. Calculate w.\nAnswer: -30046\/7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-48)*(-3 - (120 + 1)) - 13?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -517 at most as big as -437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o - 6 = -40*o. Suppose -3*s + 433 = 4*j + 67, o*j = -4*s + 271. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -1\/36*v**4 + 1\/18*v**3 + 1\/90*v**6 + v + 0 - 1\/60*v**5 + 0*v**2. Solve b(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 3018263?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11*w**3 - 2*w**2 + 1. Let v be r(1). Let m(n) = -n**3 + 10*n**2 + 10. Let l be m(v). Let d = 5 - 2. Solve b = d*b - l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22987 + -17915.\nAnswer: 5072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2752172537?\nAnswer: 2752172537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 3 - 1)*(-2 + 0 + 0) + 1 - 3 + 4 + 2 - 4 - 1)*(-1 - 2 + 9)*(-2*f**3 - f**4 + 2*f**3) as g*f**4 + n + r*f**3 + p*f**2 + b*f and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73695 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -82*i - 197 - 147 + 13*i. What is the least common multiple of 4 and g(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89030 - 37413. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*c - 63 + 65 - 27*c - 4*c**4 - 22*c**2 as y*c**2 + f*c**4 + u*c + s + w*c**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least 1810.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 2. Suppose 2*d + c - 4*c = 5, 4*d - 2*c - 22 = 0. Determine k(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132.563 millennia to centuries.\nAnswer: 11325.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19552 and 2070068.\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 0 (c) 8.95 (d) -2\/19 (e) 2 (f) 0.065\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 174*f**2 - 429*f - 14321. Determine x(171).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -20. Let o = 15 + n. Let f = 1 - 2. Which is the closest to f? (a) -0.1 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3265376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -11*l**9\/504 + 17*l**5\/60 + 11*l**2. What is the third derivative of o(c) wrt c?\nAnswer: -1320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-30)*(-8)\/18.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 less than or equal to -10476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0753659 + -0.079314. What is g rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (-2 + sqrt(931))*-5 + sqrt(931) + -1 + 4).\nAnswer: -84*sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 10*o - 12. Let r be a(-9). Let m be 6 - ((-1)\/(-3) + r\/9). Let z(n) = -2*n**2 + 7*n + 7. Give z(m).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 944873 (base 15) to base 10.\nAnswer: 7052283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149443 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 43*o. Let r(x) = 44*x. Let t(k) = -6*r(k) + 5*w(k). Let i(h) = -18*h + 10. Let f(g) = 163*g - 90. Let c(j) = -f(j) - 9*i(j). What is c(t(d))?\nAnswer: 49*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/504 and 43\/104643?\nAnswer: 837144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84200723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*6\/(18\/3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**5 + 172*l**4 - 9833*l**3\/5 - 34696*l**2\/5 + 62476*l\/5 - 18832\/5 = 0.\nAnswer: -214\/5, -4, 2\/5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20839211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 17*a - 181. Calculate s(9).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 4 - 54\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/5 (b) 1\/5 (c) 0.09 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/263, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - 36*z**2 - 74*z - 70. Calculate the remainder when y(-16) is divided by 74.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 84 + 80 = 4*h, 3*j = -5*h - 19 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2. Let i(c) = 19*c - 11. Let s(y) = -5*y + 3. Let v(o) = -6*i(o) - 22*s(o). Determine d(v(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1410, -12, -471 in ascending order.\nAnswer: -1410, -471, -12","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 162, 171, 182, 195?\n\"Answer: h**2 + 6*h + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 26*k**2 + 46*k - 16. What are the prime factors of s(-13)?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 3.03.\nAnswer: -0.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 8*j + 10. Let z be s(7). Let n = z - -9. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 - 74 = -c. Calculate the remainder when 36\/c + 62\/8 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 2. Let f be w(-3). Suppose -2*u - 2*u - 48 = -2*q, -f*q - 2*u + 126 = 0. Let y = -9 + q. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -2*n**3\/3 - 2*n**2 + 3*n - 126. What is a(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j**3 + 15*j**2 + 12*j**2 - 29*j**2 to the form c + m*j + t*j**2 + w*j**3 and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 788 divide 1882532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 205838681*0.2\nAnswer: 41167736.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -212120.4 - 18.8083?\nAnswer: -212139.2083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156)*5 - (sqrt(156) - (sqrt(156) - (sqrt(156) + sqrt(156)*1 + sqrt(156)) - sqrt(156)))*4)\/(4*sqrt(300)*1).\nAnswer: -13*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + 0.3. Let w(m) = 17*m**2 - 16*m + 5. Let h be w(-5). Let k = -17848\/35 + h. Which is the closest to -2\/7? (a) k (b) j (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -173, -369, -657, -1043, -1533, -2133, -2849?\nAnswer: -3687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212137 is divided by 106044?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 12 = -8. Let f(a) = i - 88*a**2 + 0*a + a + 89*a**2. Calculate f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 15*m**3 - 10*m**2 + 152*m + 732. What is j(-4)?\nAnswer: -996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236290, 472595, 708900, 945205, 1181510?\nAnswer: 1417815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 235897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7*b - 15445. Let f = b - -4366. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196103 by -41.\nAnswer: -4783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 4*h + 5206*h**3 - 9616*h**3 + 4433*h**3 + 2.\nAnswer: 23*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 6*x**2 - 9*x - 7. Let w be a(-6). Suppose m - 3*s + 257 = 0, 0 = -5*m - s + w - 1396. Let v = m + 382. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.932 - -0.932. Which is the fourth smallest value? (a) -1 (b) 0.2 (c) o (d) 0.062\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 3*x + 3*x + 292*x - 32*x**2 - 292*x + (3*x - 4*x + 0*x)*(-2*x - 2 + 2) - 38*x**2 - 41*x**2 + 11*x**2 to p*x**2 + d + o*x and give p.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/6)\/(2\/6). Let s be (-64)\/u - (-10)\/25. List the prime factors of 3\/s - (-21)\/2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10293, -20568, -30843, -41118, -51393, -61668?\nAnswer: -71943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - 0.8. Let j = -1.9 + n. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14469, -14466, -14453, -14424, -14373, -14294, -14181, -14028?\n\"Answer: j**3 - j**2 - j - 14468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(99)\/sqrt(3))\/(sqrt(9)\/(sqrt(9)\/sqrt(3) + sqrt(3))).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 divided by 8?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttzffttnffffffftttnf. What is prob of sequence ftn?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12526?\nAnswer: 2, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -11\/6*r**6 - 130 + 0*r**4 + 0*r + 4\/3*r**3 + 0*r**5 - 97\/2*r**2. Find the second derivative of t(z) wrt z.\nAnswer: -220*z**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.1 - -26. Let m = 3.06 - 0.06. Let o = -1 + m. Which is greater: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 9:08 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -326442 (base 7) to base 9\nAnswer: -86786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 1, -6, -1 in ascending order.\nAnswer: -100, -6, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38606, -77248, -115878, -154490, -193078?\nAnswer: -231636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Suppose -c*u = -u. Factor -b**3 + u*b - 2*b**2 + 2*b**2 - b**2 + b + 1.\nAnswer: -(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Suppose u = -g*u + 236. What is the remainder when u is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64836 is divided by 392?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 2014457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/25020 and -76\/168885?\nAnswer: 675540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(2925\/3375 + 2\/(-10))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 406 and 22358?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6690 + -4702. Suppose 3*u - 628 = c. What are the prime factors of u?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1751*t + 11. Is z(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*w + 222*w = 134*w + 1247 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202336952 to the power of 1\/2, to the nearest integer?\nAnswer: 46929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 637.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 - 113. Which is the second smallest value? (a) -0.8 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3454 (base 8) in base 2?\nAnswer: 11100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162362 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s. Let m = 28977 + -28977. Solve -2*o + 5*x = -m*o + 28, -2*o + x - 12 = s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 + 0\/2. Suppose 15 = 1804*t - 1799*t. Suppose 4*p + t - 7 = 3*v, 4*v = 5*p - 5. Which is the third biggest value? (a) 0.06 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262736046 divided by -6.\nAnswer: 43789341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 16 = 2*j, 2*j - 21 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1791, -0.63, 1, 2.\nAnswer: -3, -0.63, 1, 2, 1791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 5*a + 2. Suppose -f + 4*r = 11, 2*r - 1 = 4*f + 1. Let v(x) = x - 1. Give f*m(z) + 2*v(z).\nAnswer: z**2 + 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-13 - -5))*(-1)\/(-2). Suppose 63 = p*m + b - 2*b, 41 = 3*m + b. Solve t - m = -17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2. Let g be (3 + (-265)\/90)\/((-1)\/(-3)). Let m(b) be the second derivative of 0 - g*b**3 + 0*b**2 + b. Determine z(m(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -720272 * 20.\nAnswer: -14405440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*u - 2*p + 39, -4*p + 15 = 3*u. Let s = u - 6. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5590 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v. Let k(x) = -3*x**2 - 98*x. Determine q(k(w)).\nAnswer: 9*w**2 + 294*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 2:55 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, 5, 0.07, -67?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**3\/2 + 132150*j**2 - 792965*j\/2 - 528630 = 0.\nAnswer: -52863, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -5.1, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2094.2 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3)*q**(-7\/2))\/(((q*q**(-2\/3))\/q)\/(q**(2\/5)*q)))\/((q**(-1))**20*((q**(-1)\/q)\/q)**(2\/77)) assuming q is positive.\nAnswer: q**(44609\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1131201 (base 4) to base 9\nAnswer: 8180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -56*o**3 + 21*o**2 - 9*o - 63. Is y(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2. Let j(v) = 4*v**2 - 1. Let i = -13 - -17. Let u(z) = i*j(z) + 11*g(z). Let x(k) = -2*k. Give u(x(l)).\nAnswer: 20*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1656 + 460?\nAnswer: -1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2*r**(2\/17))**(-18) assuming r is positive.\nAnswer: r**(-648\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -16, 0.3, -20\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2. Let v(b) = 7763 - 7*b**2 - 7763. Give v(t(u)).\nAnswer: -63*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m - 3 + 3 - 6)*(8*m**2 - 4*m**2 + 0*m**2) in the form h + t*m + x*m**2 + f*m**3 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113738 by -2.\nAnswer: 56869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -0.16, 2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z = -40*z + 5. Solve 3*w - 20 = -w, c - 26 = -z*w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 d when four letters picked without replacement from hhbddbhdbhb?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 7*x - 47. Calculate m(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**5\/5 + 5*f**4\/3 + 14*f**3\/3 + 6*f**2 + 46*f + 1. Let r(b) be the first derivative of u(b). Factor r(h).\nAnswer: 4*(h + 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/540 and -107\/20088.\nAnswer: 100440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/5)*u*u**(-12)*u**(-5)\/(u\/(u\/(u*u*u**(1\/5)))))**(-30) assuming u is positive.\nAnswer: u**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*z - z. Let m = -0.9 - -0.8. Let f = -64\/105 - -10\/21. What is the nearest to m in f, 1\/2, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 155.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**4\/4 - 13*u**3\/6 + 15*u**2\/2 - 25*u. What is the derivative of v(y) wrt y?\nAnswer: 6*y - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4803.45 nanograms?\nAnswer: 0.00000000000480345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4 + 18. Let r(o) be the third derivative of -o**4\/12 - o**3\/3 - 684*o**2. Give r(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6)*-6 - 6. Let x be ((-2)\/i)\/((-2)\/9). Let z be -2 + 1\/(x\/(-24)). Let a(v) = -v**3 + 6*v**2 + 5. Determine a(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. What is the remainder when 9 is divided by -1*3\/(-2)*g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + 18 - (701 - 691).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 683579 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 640414027?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.7436 - 2.5436. Sort 1, 1.717, c in descending order.\nAnswer: 1.717, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l. Let n(t) = 70750432*t. What is f(n(a))?\nAnswer: 141500864*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Let l = j - 6. What is the closest to 2 in l, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 257?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -160 + 162. Put 4, 3, i, -3 in increasing order.\nAnswer: -3, i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 + -79 + (1 + 1 - (-1 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5 + 75*g**4 + 489*g**3 + 345*g**2 - 492*g - 420 = 0. What is g?\nAnswer: -14, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 14931.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -27*i**2 + 15*i - 7. Let k(n) = 49*n**2 - 16*n + 9. Give -3*k(b) - 4*s(b).\nAnswer: -39*b**2 - 12*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -10. Let p(b) = 10 - 4 + 6*b + 0*b + b**2. Give p(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -6\/59, 5, -3, 74, 69, 1 in increasing order.\nAnswer: -3, -0.3, -6\/59, 1, 5, 69, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 16. What is the nearest to 1 in k, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (288\/45 - 6)\/(3\/(-9 - 36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 8*a - 3. Let s = 163 - 156. Let j be o(s). Suppose 3*b - 32 = -2. What is the greatest common factor of b and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.2 (c) 1\/7 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -389\/3 - -130. Determine w so that -y + 0*w + 1\/3*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 19\/2 + (-3)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 25*x**3 + x. Calculate o(2).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -58. Solve y - 16 = -u*y + 4*g, 0 = -5*g - 25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 279 - 1113\/4. Sort -3, 4, f in descending order.\nAnswer: 4, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 381861?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-28)*-4)\/((-24)\/(-21)). Let u(h) be the first derivative of j*h**4 + 0*h**3 - 1\/4*h - 3\/8*h**2 + 10. Factor u(m).\nAnswer: (m - 1)*(2*m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95*i**2 - 2955*i - 310.\nAnswer: -5*(i + 31)*(19*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 279580 from 117.145.\nAnswer: -279462.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.0717462mg?\nAnswer: 71.7462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -146 + 3. Let x = 13 - k. What is the tens digit of (-8 + -159)*(x + 2)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (49 + -30 - 88)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -262, -927, -2028, -3565, -5538, -7947?\n\"Answer: -218*z**2 - 11*z - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*j - 10, 10 = 3*r + 2*j + 3. Suppose -3*b - x + 1631 = 0, r*b + 4*x = b + 1094. Suppose -b + 11 = -4*p. What are the prime factors of p?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -764 (base 14) in base 9?\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33064 - 43870*z + 33064 to the form a + q*z and give q.\nAnswer: -43870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 14. Let c = i + -4. Let l = -5.9992 + c. What is l rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -67812, 4, -0.4, 5, -0.5, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*p, 4*p = -o + 2*o. Suppose o = 2*n + 2*y, -4*n = 3*y - 7*y - 32. Solve -6*q = -2*q + n*k - 28, 2*q - 3*k + 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42713*h + 2*h**3 - 85420*h + 42707*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 12. Suppose 3*w + 4*g = -23, 0 = w + w - 5*g. Sort w, 5, v in descending order.\nAnswer: 5, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*w**2 - 34*w**2 + 5*w**2)*((-3 + 2 + 3)*(-4*w + 0*w + 2*w) + 25 + 15*w - 25).\nAnswer: -616*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150210622.\nAnswer: 2, 75105311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233*z + 16*z**5 - 383*z - 239318*z**2 - 1388*z + 239182*z**2 wrt z.\nAnswer: 320*z**3 - 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**2 + 5*i**2 - 5*i**2)*(276 - 567 + 298 + 50*i)*(-3 + 4 + 0) - 5*i**3 + 2*i**3 + 2*i**3 as w*i + x + o*i**2 + k*i**3 and give k.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/87630 and 44\/142875.\nAnswer: 6572250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 38. Let v be 2\/(-4)*(-3 - 2\/a). Solve 0 = -7*y + v*y - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2970571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**3 + w - 1. Let d = -1 + 2. Let s be b(d). What is the third derivative of 3*k**3 + s*k**2 + 0*k**3 - 2*k**2 wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n + 25. Let f be c(-7). Let p(d) = 29*d**2 - f*d**2 - 15*d**2. Let h(k) = 4*k. Give p(h(w)).\nAnswer: -512*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - 0.3. Let i = -89 + 89. What is the closest to 1 in i, l, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 24. Suppose 0 = 5*h + 3 - d. Solve 3*z + 3 = 9, -4*z = -4*f - h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 10303.62?\nAnswer: -5151.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34422 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/10, -0.4, 0.1116035, -1\/12?\nAnswer: 0.1116035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 190, 250, 308?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2985, 6102, 9199, 12264, 15285, 18250?\nAnswer: 21147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -18*q - 1\/2*q**2 - 1\/3*q**3 - 9\/2*q**5 + 0*q**4 + 0. What are the prime factors of l(-1)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p + 15 - 463. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3 + 9700*n**2 + 410046*n + 4314744 = 0.\nAnswer: -21, 4892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*y - 3*y + 117*c - 125*c = -4*y + 25, 0 = 2*y + c - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -53665 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 468 + -465. Let z = -3.9 - -4. Let x(t) = -t**2 + 5*t. Let k be x(6). Which is the nearest to z? (a) 5 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10205540 and 1420.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 - (-5198)\/5. Let h be 12\/(-10) + s\/700. What is the biggest value in 7, h, 1\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 6*(-10)\/7.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 98*j + 15\/4*j**3 + 5911\/4*j**2 - 197 = 0.\nAnswer: -394, -2\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = -2. Sort 4, m, 9, 0.\nAnswer: 0, m, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/3125312 and 7\/292.\nAnswer: 228147776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -0.03, -2\/13, -49702.\nAnswer: -49702, -3\/7, -2\/13, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3006)\/3507*(14\/(-6) - -1). Factor -o*f - 2\/7*f**2 - 6\/7.\nAnswer: -2*(f + 1)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/8)*s*s**2*s)\/(s*s**(1\/2))**(-8) assuming s is positive.\nAnswer: s**(127\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*z = 34, 2*o - 22 = 6*z - 2*z. Solve 3*h - 4*p - 11 = 0, 3*p = 5*h - p - o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 16. Let m be g(-6). Suppose 6*n = 7*n + m. What is the tens digit of n - -2 - (-1 + -46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 63 - 3 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1053*b**6 - b**3 + 244*b**2 + 4*b wrt b.\nAnswer: 126360*b**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*j + 3613 - 603 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 5*s**2 - 4*s + 12. Let l(d) = 2*d**3 + 4*d**2 - 5*d + 13. Let n(t) = 2*l(t) - 3*x(t). List the prime factors of n(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -3 + -2 - -3. Which is smaller: z or 0.15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6587928 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 188\/235 + (1 - (-16)\/(-10)). Determine z so that 3\/5*z + 4\/5*z**2 + s*z**3 + 0 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/g**12)*(g\/(g**(1\/5)\/g))\/g*g)**(-37) assuming g is positive.\nAnswer: g**(-2738\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 1\/5, -25922, -3\/10 in decreasing order.\nAnswer: 54, 1\/5, -3\/10, -25922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**4 + f**3 + f**2 - f. Let n(x) = -9*x**4 - 4*x**3 + 22*x**2 + 4*x. Let k(h) = 4*i(h) + n(h). Find the third derivative of k(a) wrt a.\nAnswer: -312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3\/7 + 142*s**2\/7 - 19468*s\/7 + 38352\/7 = 0. What is s?\nAnswer: -141, 2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w. Let h = 0 + -8. Let r(a) = a**3 + 8*a**2 - 3*a - 2. Let n be r(h). Let b(l) = 6*l. Calculate n*j(t) + 4*b(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14073, -28155, -42237, -56319, -70401, -84483?\n\"Answer: -14082*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*k + 4, a + a + 4 = -k. Suppose k = -18*o + 16*o + 764. List the prime factors of o.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91)*2 + sqrt(91))*1 + (sqrt(91)*-2*6 - sqrt(91)) + sqrt(91))\/(sqrt(14)\/(2*sqrt(162))))**2.\nAnswer: 341172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**3\/3 - 5*b**2\/2 - 4*b + 2. Let s be z(7). What are the prime factors of (-26)\/(-10) - (-4)\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*z = -39, 4*p - 2*p - 7 = -z. What is the remainder when 68 is divided by (-2 - 57\/p)\/(5\/(-10))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2035 = -30*s + 41*s. Suppose 21*z - 500 + s = 0. Let w(x) = -x**3 + 15*x**2 - x + 11. Calculate w(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(114)\/sqrt(3))\/sqrt(2) - -3*((sqrt(19) - (1 + sqrt(19))) + -1))**2.\nAnswer: -36*sqrt(19) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 16040103*g - 7*g**3 - g**2 - 8020051*g - 8020052*g.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5527363 rounded to the nearest one thousand?\nAnswer: 5527000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5363 bigger than 5378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 0 + 1 + (-11 - -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 66, 140, 236, 360, 518?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 4*g - 4*g**4 - 6*g**4 + 13*g**4 - 2*g**2 to the form t*g**2 + y + a*g**3 + s*g + j*g**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t**2 - 209*t - 46 = 0. What is t?\nAnswer: -23, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, -8.\nAnswer: -13, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13125407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -10*s - 5. What is the tens digit of r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 (base 8) in base 6?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*g - 10*g. Sort g, -4, -2 in increasing order.\nAnswer: -4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(sqrt(16)\/sqrt(4)) + sqrt(2420)*-2 + sqrt(2420))\/(sqrt(10) + (sqrt(240)\/sqrt(4))\/sqrt(6) - (-2*sqrt(160) + sqrt(160))))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 + 4 + 1 - 4 - f**2 as v*f + z + d*f**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 176798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 109*x**2 - 5*x - 22. List the prime factors of f(-3).\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*w + 4466 - 4466)*(-7*w + 32*w - 149*w).\nAnswer: 9548*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 16. Calculate a(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - a + 6. Let k be r(0). Let b(m) = 5*m + 15. Let l(w) = -4*w - 12. Let n(s) = 3*b(s) + 4*l(s). Let j(z) = -6*z - 17. What is k*j(v) - 34*n(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 15705275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5 = u, -u - 4*b + 3 + 2 = 0. Suppose -2*z - r = 19 - 52, 0 = 3*z - u*r - 17. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2352, -5146, -7908, -10638, -13336?\n\"Answer: 16*c**2 - 2842*c + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6)**(1\/6) assuming l is positive.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4374, 3, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146364.\nAnswer: 2, 3, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-16)\/(-12))*-6 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/63)*f*f**(-6\/7))**(-2\/11)*((f*f**6*f)\/f)\/f**(-9)*(f**(-3\/8)*f*f*f)\/(f\/(f**(-6)*f)) assuming f is positive.\nAnswer: f**(68809\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*r + 13 + 12 - 25.\nAnswer: -41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l + 32. Calculate the remainder when l is divided by (-242)\/(-14) + 10\/(-35).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*j + 2*j - 5 = 0, -g - 5*j = 6. Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2203243 + 33440?\nAnswer: -2114303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 77451181, 154902362, 232353543, 309804724?\n\"Answer: 77451181*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -560402*m**3 + 6349110.\nAnswer: -1681206*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -18, -71178.\nAnswer: -71178, -18, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -83*d**2. Let z(f) be the first derivative of -4*f**3 + 198. Determine z(i(h)).\nAnswer: -82668*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 27*(-4)\/(-20) + -5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1484 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 12971 = o - 12998, 2*t + 2*o = -54 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*s**6 - 2*s**2 - 866.\nAnswer: 8760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17234538 - 2*k**2 - 37*k**3 + 5*k - 10*k**3 + 17234534 to o*k + c*k**3 + n*k**2 + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cicnnniicincnnciiini. What is prob of picking 2 i?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 117 = 5*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 816 and 6237096.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-1456) - 46607\/(-475475).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -406 + 407. Which is the biggest value? (a) -8\/13 (b) -1\/3 (c) m (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 + 103 = -109*d + 391. Solve -5*c - 15 = 0, 3*u - d*c + 5 = 26 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 + 91. Suppose p = -g + b, 3*g + 3*p - 15 = 2*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**4\/12 + 2*m**2. Let v(w) = w**3 - 5*w**2 - 5*w - 4. Let p be v(6). Let x(r) = 2*r**p + r - r. Calculate x(s(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.2, 5, -0.0268, -0.5 in ascending order.\nAnswer: -4.2, -0.5, -0.0268, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -339\/5 - -68. Let s = 67.2 - 67.7. Let i = 0.22 + -2.22. What is the second smallest value in h, i, -0.6, s?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z + 1469 - 1357 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14935209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/6? (a) -3 (b) 5 (c) 4\/11 (d) -4 (e) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 67090, 67097, 67102, 67105, 67106?\n\"Answer: -a**2 + 10*a + 67081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b + b?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -149604 divided by 3836?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70068*x**3 + 23359*x**3 + 23347*x**3 + 23350*x**3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooom when four letters picked without replacement from ommooooooooomm?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 89*k + 6 = 86*k, 2*i - 3*k = 5. Let d = 2 - 1. Let w = 1.5 - d. Put i, -0.1, w in decreasing order.\nAnswer: i, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 18. Let r = c + -15. Let o be 4\/(-16)*-5*2. What is the second smallest value in r, -4, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2 + 1410*b + 5672 = 0.\nAnswer: -4, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88*b**2*m**4 - b**2*m**2 + 3*b*m**2 + 3*m**4 - 17*m**2 wrt m?\nAnswer: -2112*b**2*m + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5662526.822 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 182 in 2, -3, 0.17622?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 10:00 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.9 + 16. Let y = -0.2 - -0.2. Is y bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 10:55 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 + 2 - 4*i**2 to the form z*i + n*i**2 + o and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7259.9 + -6403. Let n = 856.0929 - s. Let g = n - -0.82. What is g rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 69. Let l = i - 33.00065. What is l rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3911 + -2261. What is p rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.3 (b) -3 (c) -0.4 (d) -5 (e) -366\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 7*b - 2. Let f = -223 - -219. Calculate the remainder when 14 is divided by x(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.374 - -0.874. What is the closest to -0.04 in -0.3, z, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12586 and 253141?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1552*c - 16314 = -26343 - 34979 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -28. Find the second derivative of -2*z**3 - 12*z**3 + 5*z + x*z**3 wrt z.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58765 and 139840.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*f - 258*f - 271*f + 1079*f - 276*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.9. Suppose -3*f + 0*f + 9 = 0. Suppose 15 = 8*y - f*y. What is the closest to m in y, 0.1, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 - 3*r. Let y be u(2). Let h(l) = l**3 - 6*l**2 + l - 8. Let i be h(y). Sort 1, 2, i in ascending order.\nAnswer: i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0068 + 1727.\nAnswer: 1727.0068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.5 (b) 3 (c) 0.08 (d) 2\/11 (e) -0.4 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 13. Let y be g(14). Let l = 17 - y. What is the second derivative of -34*o - l*o**3 + 8*o**3 + 29*o wrt o?\nAnswer: 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159\/115 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 20 = -2*m - 11, 17 = 3*w + 5*m. Sort w, 11, 0, 5 in decreasing order.\nAnswer: 11, 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699 a factor of 535319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*a + 212*a - 19*a - 220 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3 + 23224*n**2 + 1157250*n + 12140100 = 0.\nAnswer: -11562, -35, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*v - 9, -4*v + 1 = -g + 14. Calculate the least common multiple of (-147)\/(-9) + -1 - (-2)\/3 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 203, 802, 1809, 3236, 5095, 7398?\n\"Answer: 2*h**3 + 192*h**2 + 9*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10875 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2757074 is divided by 761?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/4))\/p*((((p*(p\/((p\/((p\/p**7)\/p))\/p))\/p)\/p)\/p)\/p*p)\/p)**(-5) assuming p is positive.\nAnswer: p**(195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**4\/4 + 10*k**3\/3 + 7*k**2\/2 + 13*k + 38. Is u(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/9, -13, -1, 5.1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - t**3 - 30*t**4 - 2*t + 32*t**4 + 7*t - 9*t as z*t**3 + f*t + p + x*t**4 + b*t**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2339\/18 + 130. Let g = -61\/198 - q. Which is the smallest value? (a) 2\/3 (b) g (c) -1\/2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 16. Suppose g = 3*b, 2*g + k - 6 = b. Let c(f) = -f**3 - f**2 + 1. Let h(a) = -21*a**3 - 6*a**2 + 2*a + 5. Let n(r) = 6*c(r) - h(r). What is n(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 2*f**2 - 4*f - 7. Let r be u(2). Factor -2\/7*s**r - 2\/7*s**2 - 4\/7*s**3 + 0 + 0*s.\nAnswer: -2*s**2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -20. Sort -5, i, 0 in decreasing order.\nAnswer: 0, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - s + 18. Let w be k(8). Let o = -117 - -337\/2. Let h = o + w. Calculate the common denominator of -63\/2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 627338.5 minutes?\nAnswer: 37640310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 19*w + 11. Calculate the smallest common multiple of (12\/(-2))\/(-2) - 1 and j(-19).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*a + 4*g, 0 = a + 6097*g - 6102*g - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 1472?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 2. Let l(r) = -1. Let w(k) = f(k) + 4*l(k). Let o(m) = m. Let q(h) = -h**3 + 39*h**2 - 170*h + 5. Let j be q(34). What is j*o(a) - w(a)?\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 41769.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1429 + -330. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5*j**3 - 156\/5*j - 8\/5*j**2 - 288\/5 = 0. What is j?\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 5. Let b(n) be the second derivative of n**6\/360 - n**5\/20 + n**4\/12 + 3*n. Let h(t) be the third derivative of b(t). Give h(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -15*m**3 + 310*m**2 - 9163*m + 83791. Let w(y) = 4*y**3 - 77*y**2 + 2291*y - 20947. Let j(s) = -6*k(s) - 22*w(s). Find i, given that j(i) = 0.\nAnswer: 26, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**2 + 4 - 5*a**5 - 12 + 8 wrt a.\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140068832 times 3?\nAnswer: -420206496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 - 76 - (-4 - 65).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0*n + n + 19, 0 = 2*n + 10. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22312, 89457, 201362, 358027, 559452, 805637, 1096582?\n\"Answer: 22380*i**2 + 5*i - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -411174*f + 411169*f + 5*g + 50, 0 = 2*g + 4 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27200? (a) 12\/11 (b) 0.4 (c) -0.1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/12884742 and -31\/34918.\nAnswer: 12884742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 3*o = -o - 20, 4*j + 50 = 5*j - 159*o + 164*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6748*q**2 - 131*q. Let w(o) = -70*o**2. Determine m(w(p)).\nAnswer: -33065200*p**4 + 9170*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Suppose 0 = 2*w + 2. Let f be w\/2 + 2\/4. Which is the nearest to f? (a) k (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 - (-12 + (-4 - -28) - 0 - (4 + -3)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -112, -478, -1070, -1876, -2884, -4082, -5458, -7000?\n\"Answer: 2*v**3 - 125*v**2 - 5*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.2 + -17.2. What is the closest to p in -0.1, -1\/2, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 40\/(-15)) + (-13)\/(-3). Sort -3, 29, t, -5.\nAnswer: -5, -3, t, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 197*n**2 + 9*n + 1. Is 27 a factor of c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -2, 2, 12, -391\/9, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88119*o**3 - 88115*o**3 - 88267*o**3 + 352614*o**3 - 88116*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 871346506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*p = -40, 32*j - 41 = 28*j - 5*p. Solve -1 = -4*b - 3*z - 5, 0 = -j*b + 2*z - 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 8 = -4*v, -3*v - 10 = -v - 2*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4 - 4650*c**3 - 13956*c**2 - 13958*c - 4653 = 0.\nAnswer: -1, 4653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -205.5 - -202.5. Put 1\/7, 5, 0.1, p, 740 in descending order.\nAnswer: 740, 5, 1\/7, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9885 - 29284\/3. Let a = c - 121. What is the common denominator of a and 25\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 230 + 1 - 6\/(0 - -2). Let x = l + -146. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-486)\/(-135) - (4 - 0). Which is the biggest value? (a) -5 (b) m (c) -3 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 9156423\nAnswer: 7\/9156423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 3514896.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(2*f**2 - 3*f**4 - 2*f**2).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(30\/9))\/(33\/(-473))*1*-5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14289 and 814.\nAnswer: 1057386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 7*n**2 + 4. Let i be u(7). Let z be i\/(-18) - 20\/(-9). Suppose z = -2*p + 3*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 16*o**2 - 1 + 2 + 19*o**2. Suppose a + 1 = -2. Determine i(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4518, 4527, 4540, 4557, 4578, 4603?\n\"Answer: 2*c**2 + 3*c + 4513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/27))\/(m*(m*m*m**(-6))\/m*m))\/(m**6*m*m**(5\/2)*m) assuming m is positive.\nAnswer: m**(-355\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttgtg. What is prob of picking 3 t and 1 g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 768 and 112000?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + 11 + -2 - 3*-1. Let y be 100\/75*9\/z. Solve 4*g - 10 = -3*q, -q - q - y*g + 6 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46591?\nAnswer: 46591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -14908\/235?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 9, -2\/7, 305, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6165817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1600?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4070 - -2733. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9\/2)\/s)\/s**34 assuming s is positive.\nAnswer: s**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/(-13)*(-1386)\/315\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svsk when four letters picked without replacement from vkrmkvvsssskvkkv.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*f + 6645 + 1186 = -8882 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173704*g*h**3 + 19085*g*h**2 wrt h?\nAnswer: -1042224*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*v - 3*v. Suppose v*m + 2*m - 966 = 0. Does 27 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**3 + 2*y**2 - y + 3. Let d(z) = 13 - 4*z**3 - 13*z**3 - 80*z + 75*z + 9*z**2. Calculate -2*d(b) + 9*k(b).\nAnswer: -2*b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24.119555+70.37\nAnswer: 94.489555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*g**3 + 7*g**5 - 40*g**3)*(0 + 3 - 2) + 0*g**5 + 2*g**5 + 0*g**5 + 3*g**5 + 0*g**5 + 0*g**5 - 5*g**2 + 3*g**5 + 5*g**2.\nAnswer: 15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10532 or -10513?\nAnswer: -10513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 6*g**2 + 2*g. Let n(j) = -j**2 + j. Let b(f) = i(f) - 3*n(f). Is 13 a factor of b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 155*f - 158*f + 66 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -399*i**3 + 119. Let c(l) = 9*l**3 - 6 + 71*l - 145*l + 11*l**3 + 74*l. What is -119*c(m) - 6*p(m)?\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 + -5.06. Suppose -2*n = -3*n - 3. Let y be ((-4)\/2)\/(21\/(-3)). What is the second smallest value in h, n, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 7:28 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7845586*a**5 - 4*a**3 + 54*a + 379078 wrt a.\nAnswer: 156911720*a**3 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 5\/1934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3529446 rounded to three decimal places?\nAnswer: 0.353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2340 and 37568700?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15617*-3361.7\nAnswer: -52499668.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*x - 2 + 17, -3*h + x = 12. Let i be ((-34)\/(-13))\/(-8 - h). Let f = i - -12\/13. Which is greater: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*f, 4*v + 3*f + 2*f + 3*f - 55 + 43 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9186452 to 2 dps.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*d = -91*d - 203 - 382 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b09b (base 14) to base 5.\nAnswer: -11412103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 2*h**2 + 1\/2*h**3 + 1\/15*h**5 + 0*h + 0 + 1\/12*h**4. Is k(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-131)\/4)\/(5\/(-20)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a94 - 23?\nAnswer: 5a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 10310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m + 6*m + 8*m - 6*m + 10*m to the form s*m + i and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -40802.5 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Let f(s) be the second derivative of -y*s + 0 + 0*s**2 + 1\/6*s**3. Let k(x) = -4*x. Determine k(f(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 1538435?\nAnswer: -2\/307687","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 9*g**2\/4 - 367*g\/4 - 41\/2 = 0.\nAnswer: -2\/9, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = -0. Solve g = -c*a + 8, a - 2*g + 8 = g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 40 = -4*x, 0 = 73*x - 76*x + 27 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 3:59 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 7:55 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.3. Let p = 18 - 17.8. Is p greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212695 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 12. Let x be h(6). Let s = 5 - x. Let p(r) = r**3 - 2*r**2 - 3*r - 2. Is p(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o + 110. Let s be g(14). Let a be ((120\/18)\/s)\/(6\/9). Sort 0.1, -4, a, 0 in descending order.\nAnswer: 0.1, 0, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97158, 132, 0.2 in decreasing order.\nAnswer: 132, 0.2, -97158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -398\/13 >= -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Suppose a + 2 = 3*a - t, -5*t + 4 = -3*a. Factor 2*h + h - 3*h**p + h + 2*h**a - 4.\nAnswer: -(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 76*q + 2 - 73*q - 4*q**2.\nAnswer: -4*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-160)\/(-6)))\/(8331\/233268)?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-2*q - 2*q**2 + 2*q) + (q + q - 3*q)*(215 - 400 + 283)*(77 + 6*q - 77).\nAnswer: -592*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 173*b + 2152. Let w be i(18). Solve 2*q = -4*o + 8, 2*o + 3*q = -q + w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/16 - ((-66435)\/70864)\/(1 + (-113)\/108)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1110811 and 0.15.\nAnswer: 1110811.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-6 - 6\/(-2)). Suppose -5*b + 5*w - 10 = 0, -4*b + 7 = w - z. Solve 5 = -2*h - b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1144750 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73 - 2082748*x**3 - x**4 + 1183*x**2 - 2*x**4 + 2082748*x**3 wrt x.\nAnswer: -12*x**3 + 2366*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 329119437 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-1) + 2)\/(140\/(-40)). Let w = -0.21 + 0.164. Which is smaller: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 - 0)\/((-5)\/2). Solve 0 = 5*u - 1 - w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79499429.\nAnswer: 17, 4676437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113.012 + -0.012. Let d = 111.8 - c. Let y = 0.86 + d. Round y to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738788 to the power of 1\/2, to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 7. Let w = c + -2. Suppose -4 = 2*v + 2*j, -6 = -w*v - j + 4*j. Solve -3*y = -v*y - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12880.8015 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110101111 + 1111010001?\nAnswer: 100110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 15. Let j be v(-5). Let a(i) = -1 + i - 5 - 3. Let g be a(j). Put -3, g, 2 in decreasing order.\nAnswer: 2, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-4 + -3 + 3). Solve 3*u - d*j = 0, -5*u + 3*j - 8 = 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 7*u + 6. Suppose -2*y + 8 = -6. Let a be o(y). Which is bigger: 5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - -3 - 3 - 3. Let w be ((-12)\/(-4) - 5)*x. Solve -8 = -4*m + 4*d, 3*m + 2*d - 27 = -w*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 756, 1509, 2262, 3015, 3768?\nAnswer: 4521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u**3 - 7*u**2 - 3*u + 3. Let v(f) = -8*f**3 + 5*f**2 + 3*f - 2. What is -5*r(l) - 6*v(l)?\nAnswer: 3*l**3 + 5*l**2 - 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 10*p**2 + 41*p - 27. Give b(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Suppose 0 = 5*m + 2*z + 2 + 1, x*m - 22 = 5*z. Let c be m + (2 - 0) + -3. Solve 5*o + 3 - 13 = c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + -4 - (-138)\/3. What is the greatest common divisor of 112 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*f - 286*f = -174. Solve -31*n = -f*w - 32*n - 10, 4*n + 7 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6) - 1\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/11? (a) 1\/8 (b) -0.06 (c) 14 (d) 3\/2 (e) 5\/8 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7968 divided by 2656?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(4\/(-80))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*v - 135 = -5*b, -5*v + 26 = b. Suppose 0 = 56*r - 58*r + 406. Calculate the remainder when r is divided by b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/75718 and 41\/34584?\nAnswer: 9994776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 127 + 142, 0 = 2*k + 4*u + 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*d + 3*d = -597, 2*m - 1210 = -2*d. Suppose -2*i + i = 1803. Let t = m + i. Round t to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 277 = 529 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -7 + 2564 + (-9 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 13*z - 22. Calculate t(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*p - 15, -100*a + 104*a = -4*p + 12. Solve 6*m = -a + 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.5 * 1.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/262 and 53\/36.\nAnswer: 4716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y - 0*y. Solve -y*q = -9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**6\/15 + 7*t**5\/5 - 35*t**4\/6 + 22*t**3\/3 + 104*t - 4. What is c in z(c) = 0?\nAnswer: 0, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 times 7?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 30 = 4*j. Solve r = d, -7 = -d - 2*r + j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b (base 12) in base 3?\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -637.8 and -6943.\nAnswer: 4428245.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 8 = 5*r - 47, -26*f = r - 31*f - 11 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23130 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*3\/27*7*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2\/2 - 9403265*a\/2 + 51718018 = 0?\nAnswer: -9403276, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*m + 6*m - 4*k + 39, k = -m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llt when three letters picked without replacement from ttttlltttt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**4\/24 + 7*l**3\/6 - 12*l**2. Let h = 10 - 5. Let u be d(h). Sort u, 4, -4 in ascending order.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pal when three letters picked without replacement from {x: 1, a: 5, k: 1, p: 2, l: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3\/79, -136.6, -13 in decreasing order.\nAnswer: 5, -3\/79, -13, -136.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 7. Let f be i(5). Let q be (3 - (-31)\/(-2))*-2. Suppose 0 = f*y, 4*a + a - q = -5*y. Solve -2*r = -a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 13\/2)\/(6\/(-16)). Solve 4 + 12 = -v*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 301102051 * 1.\nAnswer: 301102051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37355 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1640*g**2*w*z**2 + 8162*g**2*w + 2*g*w*z**2 - g*z**2 - z - 4 wrt z?\nAnswer: 3280*g**2*w + 4*g*w - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.093 + 4.093. Let n = 3.502 + -6.502. Let l = -5 - -4.6. Which is the closest to 0.1? (a) l (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310 divided by 33\nAnswer: 310\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {h: 2, y: 6, t: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*a)*(-1343*a - 1965*a + 511943 - 511943).\nAnswer: 6616*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 63\/11, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 2*a - 17, 5*i + 10666*a - 61 = 10668*a for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/4 - 335*y**2\/4 - y\/4 + 335\/4 = 0.\nAnswer: -1, 1, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1531 - -1526. What is the closest to 3 in -1, -0.2, -1\/2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (11 + 1 - (-45 + 55)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7876 divided by -5?\nAnswer: 7876\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 + 51*r**2 - 6*r - 12. Let o(a) = -9*a**3 + 104*a**2 - 13*a - 26. Calculate 6*o(v) - 13*y(v).\nAnswer: -2*v**3 - 39*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(5\/2))**(2\/17)\/(a\/(a*a**4)*a*a\/(a**(2\/17)\/a)*a) assuming a is positive.\nAnswer: a**(-1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2 (b) -2 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 0)**2 + 0 - ((sqrt(80) + 1)**2*6 + sqrt(80)).\nAnswer: -406 - 52*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2375 - 39*q**3 + 5933 + 131*q**3 - 32*q**3 - 31*q**3 - 28*q**3.\nAnswer: q**3 + 8308","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 1. Let r(j) = -2*j**2 + 2*j + 2. Let m(y) = -6*y**2 + 6*y + 6. Let c(a) = 3*m(a) - 10*r(a). Calculate 2*b(p) - c(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15421.57 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -22177\nAnswer: -7\/22177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -3373?\nAnswer: -3372.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45296 - -45296. Let k = 0.9 - 0.5. Let m = -3 + 2.9. Sort m, y, 2\/19, k in descending order.\nAnswer: k, 2\/19, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*n + 37, 166 = 3*r + 2*r - n. Let b be 12\/r*(-3)\/(-6). Let v = -0.2 + 0.1. What is the second smallest value in -3, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -561*b*p**3 - 3*b*p**2 + 2*b*p + 14248*p**3 wrt b?\nAnswer: -561*p**3 - 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1623544 and 1340.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43847763 or -43847762?\nAnswer: -43847762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 2*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*j + 4. Let z = -10 - -14. Suppose -n = z*n - 130. Solve -s - j*s + 3 = -q, n = 4*q + 3*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1830*o. Let x(z) be the first derivative of z**2 + 2130. What is x(d(k))?\nAnswer: -3660*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12845\/6 - -2158. What is the common denominator of -56\/235 and b?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m*q**3 - 393*m*q + 3362*m + q**4 + 3*q wrt q?\nAnswer: -6*m*q**2 - 393*m + 4*q**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172 >= 34904\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 2*t + 10. Let x be j(0). Let i(n) = -x*n - n**2 - 6 - 5*n**2 + 2*n**2 + 3*n**2. Give i(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230 (base 13) to base 14\nAnswer: -1cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * -7784.\nAnswer: -171248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3787*p**2 + 4*p - 437 wrt p?\nAnswer: 7574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 507*j + 178839. Give o(198).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7483)\/(-11759) + 212\/220?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -94564387.\nAnswer: -189128774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3576.8 or 2.864?\nAnswer: -3576.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = 2*o, 2 = o + 1. Solve j*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36444, -42087, -47730, -53373?\n\"Answer: -5643*r - 30801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 381225585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -2*k - 25, -4*c + 73*k - 76*k = 43 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -16*n - 12. Let h(v) = v + 1. Let k(d) = f(d) + 12*h(d). Let o(y) be the second derivative of -5*y**4\/12 + 16*y. Determine o(k(c)).\nAnswer: -80*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 490 and 40?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15264 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(1\/6)))\/(o*o**(1\/2))*(o**(-4)*o)**(-14\/3) assuming o is positive.\nAnswer: o**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 950\/22 - (-428)\/(-2354). Solve o*q = 127 + 45 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s. Let v(p) = 4*p + 5. Calculate 10*n(r) + 2*v(r).\nAnswer: -2*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 9102.077 to the nearest ten.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000266121394 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 76*h**3 - 2*h**2 + 3*h - 2. Let t(s) = 4*s**2 + 2*s. Let j be t(-1). Let f be n(j). Let u = f + -387. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -129*q**2. Let i(x) be the second derivative of -x**4\/12 + 145*x. What is y(i(r))?\nAnswer: -129*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2*1*(-8)\/(-368)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*z - 67 = -0*f, -4*z = 12. Let y = 30 - f. Suppose -10*h + 49 = -31. Solve 0 = y*a - 12 + h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 20. Let g be (-11 + 9)\/2*-4. Calculate v(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7 - 3)*(224*l**4 + 128*l**4 - 122*l**4).\nAnswer: 1840*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 = m. Let g = 10 - m. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, k: 1, j: 2}. Give prob of picking 2 j and 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 473843 divided by 1\nAnswer: 473843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i = -24. Let h = i - 10. List the prime factors of h\/17 - (-3540)\/255.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**3 + 1. Let b be f(1). Suppose 2*l - b*l + 231 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2 - 3 - 7*h + 4 + 3*h. Let i be (-14)\/(-105) - (-176)\/30. Let g(b) = 1. Let m(k) = i*g(k) - j(k). Determine m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 - 11382*f\/5 - 239904\/5.\nAnswer: 2*(f - 5712)*(f + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516867 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-504)\/70)\/(2\/(-5)). Let j = 20 - f. Put j, 1, -0.5 in ascending order.\nAnswer: -0.5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**2 + 107*w + 296. Let p be u(18). Suppose -2*n + 30 = 5*f - 186, 4*f = 3*n + 159. Let q = f + p. Put 3, q, -1 in decreasing order.\nAnswer: 3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100001010100 (base 2) to base 13\nAnswer: 4912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 781 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305369420?\nAnswer: 2, 5, 29, 526499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2060, -14, 0.4, 0.3.\nAnswer: -14, 0.3, 0.4, 2060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000011111 (base 2) in base 15?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/64 and -109\/112.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 3525597.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/3768 and -101\/2.\nAnswer: 3768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28193852 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -5*p - 20, 67 = 5*c - 3*p. Suppose -2*z - z - 7 = 4*d, 17 = 3*z - 2*d. Solve -z*f - 4 - 5 = 0, 4*k = f + c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 8399.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -48452373600 to the nearest 1000000.\nAnswer: -48452000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 1. Suppose 4*l = 2*w + 32, -26 = -4*l + 3*w + 2*w. Let o = 139 + -149. Let a = l + o. Determine z(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.75867 rounded to 2 dps?\nAnswer: -34.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 34311?\nAnswer: 34316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -300 divided by -1\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 6. Let y be r(2). Suppose 0*l - l = 3*v - 30, y*v + 106 = 4*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**8*k)*k**(-1\/20) assuming k is positive.\nAnswer: k**(-181\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -26, -87, -174?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11486 + 11481. What is the biggest value in 0.08, a, 36, 0, 0.4?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.4 (b) -1\/2 (c) 27\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*f - 53 = 0, d - 5*f + 11 = -47. Let t be -3 + d*4\/(-12). Solve -t = 4*y - 3*h - 0*h, -y - 4*h = 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 - 19*v + 8*v + 9*v + 3*v + 5*v + 7 = 0. What is v?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-162084)\/(-14) + 80\/140. Suppose -k = 17*y - 88639. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**13\/w**(-3\/20) assuming w is positive.\nAnswer: w**(263\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 9. Suppose h*r + 193179 = 43179. What is r rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 + (-30)\/72. Let i be 3\/16*(72\/9 - 4). Which is the nearest to 5\/4? (a) i (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -353*l + 733. Determine t(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 281185 * 45\nAnswer: 12653325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1 - (-48)\/44). Let f be (-2)\/(-3) - (-2)\/(-3). Is a - 1*f\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*x = -17*x - 1088780. Is x a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 3348*n**3 - 20061*n**2 - 30082*n - 13368.\nAnswer: -(n + 1)**2*(n + 4)*(n + 3342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -59*v - 114. Calculate r(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1708 and -2.\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -17*p**8\/42 + 61*p**5\/30 - p**3\/3 + p**2 + 49. What is the third derivative of q(l) wrt l?\nAnswer: -8160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 + 1502\/5. Round d to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 - 6*i**2 + 3*i. Let y be q(-6). Suppose -y = -3*r - 6*r. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 5. Suppose -a = -5*l + d, -l + d - 18 = 5*d. Find the third derivative of -o**5 + 2*o**l - 3*o**5 + 3*o**5 wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10782460 - 11?\nAnswer: -10782471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2*s = -3*w + 11, 2*s - 3*w - 1 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6\/5, -0.3, 0, 247, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-5434)\/(-76))\/((-1)\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4 = -0. Let f be ((-12)\/(-15))\/((-4)\/(-10)). Let y = f + -3. Which is the third biggest value? (a) 1 (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + l)*(155*l - 22*l + 86*l) + 609 - 12*l**2 - 609 to i*l + b*l**2 + m and give b.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Let o = 2.14 + -0.14. Let b = o + z. Which is smaller: 0.1 or b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2615 - -2615.3. Which is the second smallest value? (a) -44.9 (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784805377.\nAnswer: 15889, 49393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 297 - 296. Which is smaller: k or -13\/45?\nAnswer: -13\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50210*n + 67582*n + 31334*n.\nAnswer: 149126*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180960876?\nAnswer: 2, 3, 79, 63629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/15814, -37, 6\/13 in descending order.\nAnswer: 6\/13, -7\/15814, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 298*p - 598. Let b be a(2). Suppose -2\/19*w**b - 162\/19 - 36\/19*w = 0. Calculate w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 + -150. Let i = 0.15 + 16.85. Let p = i + f. What is the third smallest value in -0.2, p, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 502 or 24787?\nAnswer: 24787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -18*c**3 - 15*c**2 + 3*c + 1. Let j(n) = 49*n**3 + 44*n**2 - 8*n - 3. Calculate 8*g(q) + 3*j(q).\nAnswer: 3*q**3 + 12*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -2. Let w = f + 0.8. Let q = w - -0.2. Which is the biggest value? (a) q (b) 2\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -5*o, c + 429 = 2*o + 438 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**2\/5 - 84*z\/5 - 96 = 0.\nAnswer: -20, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4215 (base 7) in base 8?\nAnswer: -2712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k - 60 = -32*k. What is the highest common factor of 30 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -23*u + 10. Let l(q) = -q**2 + 24*q - 16. Determine -3*i(m) - 2*l(m).\nAnswer: 2*m**2 + 21*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -39*c**2 - 3*c. Let z(d) = 414487*d. What is z(g(w))?\nAnswer: -16164993*w**2 - 1243461*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 27*o = -22*o, -5*u - 2*o = 17. Which is the fourth smallest value? (a) u (b) -4 (c) -1 (d) -0.058\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j**2 + 10*j - 185. Let a(i) = -i + 18. Let y(d) = 10*a(d) + s(d). Let n(p) = -21*p. Calculate n(y(b)).\nAnswer: -189*b**2 + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 4*k**2 - 2*k**4 + 4*k + 3 - 4 - k**2 to the form t + l*k**3 + r*k**2 + v*k**4 + y*k and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o + 61 = 2*m, 71 = 2*m - 5*o. Suppose -19*c = -m*c - 28. Let p(x) = 4 + x - x + x. Calculate p(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8602*l - 41355 = 4252*l + 4068*l - 3567 for l.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**3 + 7*o**2 - 3*o - 3. Let q(f) = -11*f**3 - 20*f**2 + 8*f + 8. Suppose 20 = 11*j - 68. What is j*b(a) + 3*q(a)?\nAnswer: -a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5478)\/36)\/(-83)*3\/2?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 b, and 2 t when four letters picked without replacement from {a: 4, b: 1, t: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40946*f**3*p**3*s - 9*f**3*s + f**2*p**2 - 266*f**2*p*s - 32*p**4 - 29 wrt p.\nAnswer: -245676*f**3*s - 768*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**3\/9 - 35*g**2\/6 + 34*g\/3 + 47. Factor x(i).\nAnswer: (i - 34)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17234753*l**5*r**2 - 3*l**2*r**2 + 1358*l*r - 58456*r**2 wrt l?\nAnswer: 344695060*l**3*r**2 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 - 36. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -2708875?\nAnswer: -2708870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 3:56 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 + 100.5. Which is the second biggest value? (a) m (b) 2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3404 by -6.\nAnswer: -1702\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 174 - 173. Let l(p) = -1 + 48*p - 5 + 5. Does 17 divide l(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1169\/188968 or -1?\nAnswer: 1169\/188968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -5732967.\nAnswer: -114659.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 - 66. Let i = -23 + q. Suppose -2*x + 12 = 3*j, 0*x + 3*x - i = -j. Sort 0.5, j, 4.\nAnswer: 0.5, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.023 + -352\nAnswer: -351.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*s - 10, 4*s + 3*n - 12 = 2*n. Let v = 2 - s. Let b = v + 5. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 14, w: 4}. What is prob of sequence kwwk?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 - 35*i**3 - 45*i**2 + 575*i - 500.\nAnswer: 5*(i - 5)**2*(i - 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154065*f**6 + 2*f**3 + 2*f**2 - 20724 wrt f.\nAnswer: -18487800*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1, 1\/4, -0.07, 1, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/5 (b) 21 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i**2 - 35*i + 14. Let o(b) = 4*b**2 + 12*b - 5. Let y(l) = -3*a(l) - 8*o(l). Determine y(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 24*q - 15. Let h(j) = 66*j - 47. Calculate 6*h(y) - 17*l(y).\nAnswer: -12*y - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 565666447 by -3602971.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/9 + 1574*z\/9 - 261944\/9.\nAnswer: -2*(z - 548)*(z - 239)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(220))\/sqrt(5)*6.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-11)\/u))\/u**(-5))\/(u**(-2\/31))**(-33) assuming u is positive.\nAnswer: u**(461\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2. Let s(b) = -802*b + 1. Determine k(s(f)).\nAnswer: 1286408*f**2 - 3208*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/580 and 73\/20?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -27*m**2 - 1124*m - 33. What is the hundreds digit of x(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1018, -1, 2, 12 in descending order.\nAnswer: 12, 2, -1, -1018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.048 + -1.048. Which is smaller: v or -1\/261?\nAnswer: -1\/261","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158713499?\nAnswer: 3, 19, 20328307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -381145339143 and -0.19.\nAnswer: -381145339143.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2923, 2940, 2957, 2974, 2991?\n\"Answer: 17*s + 2906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/(-24)*(-6)\/(-1). Let h = s - 7. Let r = 5 - -3. Solve -w + 4 = 0, h*z - 4*z = -3*w + r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 103660 in -3, 1\/9, -2\/21?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -5. Let y(u) be the first derivative of -u**3\/3 + 3*u**2 - 4*u + 4. Let o be y(s). Solve -3*b - 2 = o*h - 5*b, 2*h = 3*b - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -18. Let w = -11 - -10. What is the second biggest value in -9, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-2))\/((-3)\/6). Let d(m) = 62*m**2 + 12*m + l - 12*m. Is d(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292856*v + 292856*v + 8*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*g + 2. What is the greatest common divisor of 3 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 3, y: 2, a: 2, p: 4}. Give prob of sequence ry.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2999*c - 338783. Calculate u(-113).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 381063091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33760, -33758, -33756?\n\"Answer: 2*l - 33762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 239292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) 0.2 (c) 0.53183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4924569, -9849130, -14773691, -19698252?\nAnswer: -24622813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 5*x + 3. Let v be r(-8). Suppose v = w - 21. Which is smaller: 47 or w?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -5, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r + 25*r - 123*r + 51*r + 67 + 21*r.\nAnswer: -6*r + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 2. Let s(i) = 9*i + 6. Let m(z) = 17*q(z) - 6*s(z). Let p be m(-3). Let b = -3 + p. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (8 + -7)\/(3\/(-1452)*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3154*r**4 + 541*r**2 - 49644690 wrt r?\nAnswer: -12616*r**3 + 1082*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20098 - -8625?\nAnswer: -13673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -784416 - -784419. Factor 0*q + 2\/3*q**n + 6*q**2 + 0.\nAnswer: 2*q**2*(q + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -9*j + 23*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5 + sqrt(68)*-1)**2 - (sqrt(68) + 1 + 4)**2 - ((sqrt(2057) - (sqrt(2057)*1 + sqrt(2057))) + 4 + -2*(sqrt(2057) - (sqrt(2057) + -1)))**2)*2.\nAnswer: -20610 + 440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8836 and 329?\nAnswer: 61852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 74*x**2 + 0*x**3 + 0 - 1\/150*x**5 + 0*x + 1\/20*x**4. Factor d(a).\nAnswer: -2*a*(a - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411651 is divided by 137217.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50*-9578.\nAnswer: -478900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 4\/5553 (c) 0.5 (d) -2\/559\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68.82 + 1.32. Let o = q + 68. Which is the nearest to 0? (a) 3\/8 (b) o (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 42*d**2 + 113*d - 151. Let i be m(-39). Let v(j) = 4*j**2 + 3*j. Let r be v(6). Suppose r = i*s - 183. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 7 = 187*i - 192*i, 0 = -4*d + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 1 (c) -5045276\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19974145, 39948317, 59922487, 79896655, 99870821, 119844985?\nAnswer: 139819147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*i, -i - 2*i = -d - 2. What is the common denominator of -2 + (-66)\/(-50) + 1 and ((-84)\/(-60))\/((-24)\/(-15) - i)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 303, -1, -26368, -5 in increasing order.\nAnswer: -26368, -5, -1, 2, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 145\/772 in -5, 2\/7, -1\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*145*(438\/(-292))\/((-330)\/88)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from {q: 1, z: 1, d: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000011101 - 101?\nAnswer: -1011000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -36 - -0.045604\nAnswer: -35.954396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(2\/7)*t))**(-49))**37)**(-7\/6) assuming t is positive.\nAnswer: t**(-1813\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 - 2)*3\/6. Let l(w) = -w**3 - 4*w**2 + 2*w - 6. Let r be l(-5). Solve 16 + r = f*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d (base 15) to base 5.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -215, -2\/3, -2\/35, -56.5?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177 + 189. Let v be x\/(-20)*(-1)\/3. Which is smaller: v or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5648 a factor of 1292533504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 < 4\/1231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 18 + 7)*(0 + 2 - 1)*(6 - 1 - 4)*(-3*w + 4*w + 0*w) to the form r + n*w and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*x + 88*x = -24 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-1 - sqrt(99))**2 - sqrt(99)) + -5.\nAnswer: -3*sqrt(11) + 391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (0 - -3) + 48. Let y = m + 19. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606823 is divided by 2851.\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 44 = -5*t, 2*t - 3*m + 6 = 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 87. Suppose -2*p + v*f + 2396 = 0, -f - 341 - 2058 = -2*p. Round p to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Suppose y = -p - 5*m + 5, -2*p = -m + 4*m - 10. Put -3, p, -2 in decreasing order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6 + 2*f - 13*f - 1. Suppose -u + 12 = 3*u. Let t(n) = -5*n - 3. Suppose 495 = -68*y - 5*y - 16. What is u*c(h) + y*t(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 4:37 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five eighths of a decade?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-18)*3\/(-27)*24?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from {a: 3, m: 3, f: 3, y: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 19. Let o(d) = -2*d**3 + 51*d**2 - 23*d - 5. Let a be o(m). Let s(h) = 2 + h**3 + 20*h**2 - a*h**2 + 24*h**2 - 5*h. Calculate s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-2\/29)*x))\/x)**(-31) assuming x is positive.\nAnswer: x**(837\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*-4*-3*sqrt(891)*1*-4 + -3)**2*-2.\nAnswer: -3695155218 - 155520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f = 9. Let n(a) = -f*a + 9*a + a. Let p(t) = -13*t**2 + 4*t**2 + t**2 + 9*t**2. Give n(p(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -125 - 65. Let z = a + -569\/15. Which is bigger: 2\/11 or z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/8 + (-17)\/748*-11)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*((sqrt(1700)*2)**2 - sqrt(1700)) + sqrt(1700) + -1 + (sqrt(1700) + ((sqrt(1700) + sqrt(1700)*1)**2 - sqrt(1700)) + 1)*6 + -3.\nAnswer: -40*sqrt(17) + 74799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0.213, 5\/4, 0.4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5*y = -5, 2*y = -26*s - 178 + 224 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6382.27cm to micrometers.\nAnswer: 63822700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u. Let k(x) = -1487*x**2 - 577*x**2 - 5709*x**2 - 2290*x**2 + 319*x**2. Give k(y(d)).\nAnswer: -38976*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 943 + -2?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.53? (a) -10 (b) 1.4 (c) -0.6 (d) -0.2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035947 rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37.8 not equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/5*2\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40, 53, 60, 61?\n\"Answer: -3*t**2 + 22*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 - 2*u**2 - 6*u - 22. Let a(j) = -7*j**3 + 3*j**2 + 10*j + 44. Let g(c) = -3*a(c) - 5*d(c). Calculate g(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktk when three letters picked without replacement from lllttkllllk.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - 40\/(-5)) + -2 + 1. Let h be ((-3)\/(-7))\/(f + (-26)\/14). Is (-5810 + -1)*(-1)\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 40?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13*s - 6*s - 68 - 18*s. Let d be c(-9). Solve 28*g = d*g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.354587 + 5.34. What is w rounded to 4 decimal places?\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cb3 - 85?\nAnswer: -d38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**6\/360 - h**5\/60 - h**4\/24 + 2*h**3 - 14*h**2. Let z(p) be the first derivative of f(p). Give z(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59706076?\nAnswer: 2, 14926519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**6\/30 + x**5\/20 - x**4\/24 + x**3\/2 + 4*x**2. Let p be m(-4). Suppose -6 - p = -b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/9)*q**(3\/5))**(3\/4)*(q**(-2)\/(q*q*(q\/q**2)\/q))**(-3\/22) assuming q is positive.\nAnswer: q**(257\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -19 - (5 + 1)) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 2*v - 1. Suppose -15 = 6*z - 9*z. Suppose -2*g + z = 3. Give c(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -14. Suppose 0 = -2*v - 3*h - m, -h - 12 = -4*v + 1. What is the third derivative of -o**v + 2*o**3 - o**3 + 0*o**2 wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.73 - 2.84. Let g = 0.11 + d. Which is greater: 4 or g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 3. Let a be r(-6). Let m = 631 - 635. What is the second smallest value in 0.04, -5, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -582 + 59.78.\nAnswer: -522.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.87 - 4.13. What is the second biggest value in a, -1\/6, -1, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.52 and -0.4.\nAnswer: -0.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.2 less than 10105665?\nAnswer: 10105723.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**3\/3 + 6997*n**2\/3 + 97730*n\/3 - 223456\/3 = 0.\nAnswer: -6983, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 + 17*r**2 - 4*r - 38. Let a be m(8). Put -2, 8, a, -22 in ascending order.\nAnswer: -22, a, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -27.52. Let s = o + -0.02. What is the closest to -0.2 in 3, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzmtzzt. What is prob of sequence ztzz?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 19 - 53. 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: What is the remainder when 26830 is divided by 13406?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(3 + 7\/(28\/(-18))). Is -34\/3 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 + 75 - 5 + 86 - 8)*(-8*u**2 - 10*u**2 + 5*u**2).\nAnswer: -2899*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.6980088cm?\nAnswer: 6.980088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 56. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**3\/2 - j. Let m(c) = -10*c. Let r(o) = -o + 12. Let b be r(10). What is b*m(u) - 7*p(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + 8 + 4 + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*w + 47 = -35*w - 37*w + 2*h, 10*w = 5*h - 500 for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 30*i**2 - 5*i + 8. Suppose 4*w + 37 = 4*c - w, -c + 5*w + 28 = 0. What is the tens digit of f(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4476 = 67*t - 4368. What is the remainder when t is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*x + 4 = -n, -5*n = 4*x - 8. Suppose 3*p = -q - 8, 4*p + 14 = -2*q - n*p. Let f be ((-6)\/(-4))\/(15\/4). What is the nearest to -1 in -5\/2, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -3, -395 in ascending order.\nAnswer: -395, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*t = -134*t + 6320. What is the remainder when t is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2011*k**2 + 2*k - 793*k**2 - 2*k - 319*k**2.\nAnswer: -3123*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4107 rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 5 - 4*v)*(66 - 34*v - 66 + 2*v + 2*v - 2*v + (-2*v - 3*v + 3*v)*(2 - 1 - 2))*(2*v + 0*v - 5*v)*(-2 + 0 - 2).\nAnswer: 1440*v**3 + 360*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 2:03 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 = 5. Is 284\/k + 11\/33 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 4*g + 5. Let y be z(-6). Let d = y + 10. Let f = 57 + -397\/7. Which is the second biggest value? (a) f (b) d (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + 358 + (-36)\/(-6). Suppose 8 = -z*u + 373*u. Solve u*t + 3*n = -8, t - 1 = -n - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 + 3 - 4 - 1 - 2*m**2.\nAnswer: 8*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7920\/13 (b) 15 (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y - 18. Suppose -10 = 3*r - y*r. Suppose 0*m + m = -r. Which is smaller: m or -5\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 1. Let o(y) = -52*y**3 + 12*y**2 + 12. Calculate 24*g(d) + 2*o(d).\nAnswer: -104*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2540253 divided by -7\nAnswer: 2540253\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -5*d**2\/2 - 21. Let j(g) = 2*g. What is j(i(u))?\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -30, -103, -206, -339, -502?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 28 = -6*s - 5*r, 3*s - r = 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 112, 224, 336?\n\"Answer: 112*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.25 - -1.27. Let b = y + -0.02. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-302736)\/742*8\/(-68)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 4. Let b be f\/12 + 36\/16. Find the third derivative of b*u**2 - 5*u**2 - 4*u**6 + u**2 wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 70, -8 in decreasing order.\nAnswer: 70, 5, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11843847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 0.0259, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1542 - 1537. Let g = -13 - -27. Which is the second biggest value? (a) d (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2438 - 634. Let b = q + 53. Suppose -13*p + b = -5*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - 71 - (0 + (-6 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (106\/636)\/(694\/348 - 2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 y when three letters picked without replacement from wbwjbyjbwybbcjbj?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/165 and 53\/135.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -54 + 12\/(-8)*2. Let j = -58 - o. Is ((-1810)\/4)\/((-3)\/(-6) + j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s - 2. Let i(c) = 126*c + 51. Suppose 316 = -2*a + 5*f, -5*a + 0*f - 769 = -2*f. What is a*g(x) - 6*i(x)?\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g + 18 = 13*g. Sort g, 3, -1.\nAnswer: g, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.21 >= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, -0.05, 3, 5 in ascending order.\nAnswer: -1, -0.1, -0.05, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 706.07 + -711.07. Let v = -0.63 + -0.07. Let s = 7.7 + v. Which is smaller: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/3498 and -91\/165.\nAnswer: 17490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 2*k**2 - 2*k. Let s be z(-2). Let q be ((-4)\/s)\/(2\/30). Let x(i) = -i**2 + 5*i - 4. Let u be x(q). Is 2\/5 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.618492cm to kilometers.\nAnswer: 0.00005618492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g. Let j(u) = -9408*u**2. Determine r(j(i)).\nAnswer: 9408*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23529740863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392.1767 hours to minutes.\nAnswer: 23530.602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 40 - 16 = 0. Let x be (w - (-90)\/24) + 207\/(-4). Let i = x + 63. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 0. Let n = a + -2. Solve -2*i - n = -9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/4)*k**(-2\/3)\/k*k)\/(k**(1\/9)\/k**2) assuming k is positive.\nAnswer: k**(71\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 2. Suppose 5*b - f = -1. Let h be 1\/((-2)\/(-4)) - 0. Which is greater: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3\/14))**(-38)\/((n*n\/n**(-24))\/(n**(4\/7)*n*n)) assuming n is positive.\nAnswer: n**(-487\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 43. Let y = -33 - -48. Calculate the remainder when h is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 20. Let x be (35\/g)\/(1\/2). Suppose 0 = v + 1, -2*v + v = 3*t - x. What is the greatest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 13*r**7\/5040 + r**5\/12 - 8*r**2. Let v(b) be the third derivative of h(b). What is v(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -19 + 5*o**2 - 6*o + 2*o**3 + 17 - o. Let d be p(-3). Let y = -70 + 73. Solve -d = j - y*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102946.\nAnswer: 2, 51473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 39*h**2 + 6*h - 11. Let y be b(6). Suppose 4*g - 343 = y. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6*-1 - -2*(-638)\/(-264) and 133\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 28*d + 3*d)*(-19*d**2 - 15*d**2 - 38*d**2 + (2*d + 2 - 2)*(2*d - d - 3*d) - 3*d**2 + 0*d**2 + 4*d**2) as z*d**2 + c*d + u*d**3 + i and give u.\nAnswer: -2400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24 + 2\/(-2))*1. Suppose c = 5*i - 20, 4*c = 7*i - 3*i. Suppose -k = -c*r - 3. Calculate the remainder when 7 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 - 94. Calculate the remainder when -4 - (-1006)\/14 - (-5)\/35 is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from djududdvdjvvj.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + (-3 - -4)*-1. Let h(l) = -d*l + 4*l + 2*l - l. Let i(a) = 15*a**2. Calculate i(h(v)).\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115895*v*w**3 - 11767*v + 8*w**3 - w**2 wrt w.\nAnswer: 695370*v + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*i + 8, 0 = g - 6*g + 2*i + 8. Let l = 2\/9 - g. What is the second smallest value in l, 0, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/((-9)\/12). Suppose -o = -g + 3*g. Which is the biggest value? (a) g (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 5, 0, -9?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1099520742 to the nearest integer?\nAnswer: 33159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1462*f + 35500 = -962*f for f.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 - 9*w. Let n(f) = -2*f**3 - 8*f. Let q be 3*3\/3 - 6\/12*-2. What is q*a(c) - 3*n(c)?\nAnswer: -2*c**3 - 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6577964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 + 0.31. What is the closest to 0.1 in i, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542487210745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbb. Give prob of picking 1 b and 1 s.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*n + n - 20 = 0, -3*j = n - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = q - 384. Let x = q - 77. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -28*g + 115. Let y(f) = -14*f + 51. Let n(o) = 2*x(o) - 5*y(o). Give n(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8092292.81 to the nearest one hundred thousand.\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1112988*n**2 + 27*n**3 + 1112988*n**2.\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 12:54 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*y - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.7 - -33.7. Sort x, -2.1, 3, 0.2 in descending order.\nAnswer: x, 3, 0.2, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*f - 5*l + 5 = -518*f, 3*f + 2*l = -5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 5, g: 8, u: 1}. What is prob of sequence qu?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 86243 + v - 86265. Determine u(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.1 + -5.1. Let v = 728644 + -728642.000015. Let r = v - u. What is r rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g - 19. Let x be k(5). Which is greater: -1\/41 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -212 - -157. Is b less than -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 2\/9, -2\/1653 in decreasing order.\nAnswer: 2\/9, 1\/8, -2\/1653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222613 is divided by 455.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*n = 7332 + 4702 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 62*z - 415. List the prime factors of u(12).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 227\/4 + -457\/8. Suppose -31*f - 35*f = -6*f. Let k = 7 - 6.94. Which is the third smallest value? (a) f (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w = 49*w - 432. Differentiate 109*s - w*s - 58*s + 15 wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001011000001111101000101 + 10?\nAnswer: -10001011000001111101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3610\/52345)\/(4\/4756)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6*0.041\nAnswer: 0.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -24. What is the remainder when 22 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*d = 61*d - 73*d - 2024 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3*f = -6*f + 4, 1273*r + 32 = 1269*r + 4*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(60\/(-9))*-5. Let a be (-30)\/(-45) - 4\/c. Solve -3*b + a = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 11:55 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17542762*l + 18573531?\nAnswer: 17542762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263795111?\nAnswer: 227, 1162093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.378953495 rounded to 3 decimal places?\nAnswer: 6.379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4829 - -123b?\nAnswer: -35bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 322740?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 2, -3, 7\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1755354269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3126618432 divided by -3.\nAnswer: 1042206144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3944600.\nAnswer: 2, 5, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + -4 + 1*(sqrt(99) + -2)))**2.\nAnswer: -960*sqrt(11) + 3184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 484*b + 2983. Determine z(-6).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 6352 - 3353. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 103684*d**2\/3 - 310496*d\/9 - 556\/9 = 0.\nAnswer: -139\/77763, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwbbkwboxw. What is prob of picking 2 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(1\/(-1) + 8). Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126.94 + -126.64. Which is the nearest to -4\/17? (a) 4 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 75.2, 2 in descending order.\nAnswer: 75.2, 2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 89\/(-5) - 1\/5. Let q = s + 21. Suppose -5*j + 25 = 0, -q*b - 3*j = -8*b - 20. Let u(w) = -3*w**3. What is u(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 655.\nAnswer: -65.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -83.2 and 0.122482631.\nAnswer: -83.077517369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26035*g**2 + 26030*g**2 - 24*g - g**3 + 0*g**3 to the form i*g + d*g**3 + w*g**2 + m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 55, 118, 205, 316, 451?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -677269.713 rounded to the nearest 1000?\nAnswer: -677000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.71 + 0.21. Let l be 2\/4 - 1\/3. What is the nearest to -0.1 in l, 0.06, c?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 6. Determine c(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310262?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - 17438.596084.\nAnswer: -17438.546084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15800305.5 seconds?\nAnswer: 26.12484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*j, -i + 2*j - 4 = -5*i. Suppose 0 = 3*n + i*n - 80. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*u - 378 = 0, 2*r + 0*u + u = -247. Let f = -37 - r. Calculate the common denominator of 25\/8 and (4\/6)\/((-18)\/f).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1550 and 297910?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -305*t + 11. Let y be k(-7). Suppose 3*r - a - y = r, 2 = -a. Suppose -3*j - r = 3818. Round j to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30126?\nAnswer: 2, 3, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 0.3, 33\/14, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -422 + 422. Solve -6*r - 3 + 21 = d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -18. Suppose 2*g - 3*p = -h*p - 75, -2*p = g + 48. Let k = -1 - g. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 120*l - 113*l - 6825. Let j(s) = -s - l + 2*s + 978. What is j(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81427471.5 minus -86.4?\nAnswer: 81427557.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -809, -6480, -21873, -51848, -101265, -174984, -277865, -414768?\nAnswer: -590553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9104, 18208, 27312?\n\"Answer: 9104*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(12)\/(sqrt(12)\/sqrt(2))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 7:40 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 1054*r - 16 - 9 - 12 - 1032*r.\nAnswer: -2086*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 987, 3, 1 in decreasing order.\nAnswer: 987, 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*q - 113*q = -16. Put q, 0, 37, -7 in decreasing order.\nAnswer: 37, q, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76512111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200213 + -21034?\nAnswer: 135135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 31*u = 88 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.1. Let d = 39 + -42. Which is the third biggest value? (a) p (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 239 - 107. Suppose 0*n - 3*n + u = 0. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27579462, 27579461, 27579458, 27579453?\n\"Answer: -t**2 + 2*t + 27579461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2 + sqrt(500))**2 + sqrt(500)).\nAnswer: -1512 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 31 = 2*d, 3*z = -z - 12. Let f(s) = 6*s + 42. Let o be f(d). Suppose x - o = -8*x. Calculate the smallest common multiple of 20 and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264371685 is divided by 2268.\nAnswer: 2265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7240 - 6910. What is the highest common factor of 858 and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 e when four letters picked without replacement from egbgebgebbb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/378*3\/(3\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 12*r - 18. Determine n(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0.8. Let b = 8.48 - 25.48. Which is smaller: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/5 - 2135\/(-25) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3684.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 4:02 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3630 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 343\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*k, -13*k - 20 = 5*o - 8*k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 - 1.4. Which is the biggest value? (a) 4\/11 (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 382880, 29 in decreasing order.\nAnswer: 382880, 29, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = 0, 27 = 3*y + 2*a - 10. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 251286.5 to the nearest 100.\nAnswer: 251300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 128\/12 - 4\/6. Suppose 560 = -2*b + l*b. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 15. Let q be g(6). Suppose 0*n + q*n = 5*n. Is n less than -3.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -2, 660?\nAnswer: 660","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.3 and -1160798.\nAnswer: -1160803.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246419 is divided by 7467?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a factor of 281558621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-13)\/(-819)*-3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*5*(1 + sqrt(468) + -1 + sqrt(468) - sqrt(468) - (-4 + 0 + sqrt(468)))*-5)**2.\nAnswer: 640000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, o: 4, l: 1}. What is prob of sequence opp?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3462460 - -3?\nAnswer: 3462463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397375050*m**2 - 132458335*m + 5 = 0. What is m?\nAnswer: -1\/3, 1\/26491670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1332*l**2 + 23971*l - 27. Give x(-18).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -540 + -4?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1890630*q - 5556794 with respect to q.\nAnswer: 1890630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -9. Suppose -z*f = f. Solve 1\/2 - 1\/2*o**2 + f*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-449)\/(-1796)*(-3)\/(18\/(-136)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((-10)\/20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4923144 rounded to the nearest ten thousand?\nAnswer: -4920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (2 - -1)) + (-12 - -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -243462, -486919, -730378, -973839, -1217302, -1460767, -1704234?\n\"Answer: -t**2 - 243454*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 183?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(4\/11)\/i*i)**(4\/5)*(i**13\/i)**36)**7 assuming i is positive.\nAnswer: i**(166432\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 9315511 to the nearest one hundred thousand.\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11512055 divided by 2302411.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - 2*q**3 + q**3)*(-2 + 2 - q).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = 22. Suppose -3*r + 6 = -c. What is the units digit of (-2)\/(-6) - (-465)\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2. Let r(x) = -x**2. Let b(a) = -2*a**2 - 8*a. Let l(y) = b(y) + 4*r(y). Let d(w) = -l(w) + 2*v(w). Suppose d(h) = 0. What is h?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 8*y**2 - 9*y. Determine q(8).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12618 - 8967. Let z be (3 + 8)\/1 - -2. Suppose 0 = -16*k + z*k + f. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6*-2)\/((-72)\/162). Suppose -30 = -u - y. Let -8\/13*i**2 + 0 + 8\/13*i**u - 2\/13*i**4 + 0*i = 0. Calculate i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-38) + ((-917917)\/(-7410))\/49 and -115\/468?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-36))\/2*2)\/((19065\/(-279))\/205)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzztzz. What is prob of sequence tz?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6659? (a) 0.2 (b) 0.3 (c) 44 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165922344 to the nearest integer?\nAnswer: 12881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -28*r**3 + r**2 - 1. Let j be z(1). Let x = 30 + j. Solve 7 = n + x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18174315?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + p - 2)*(-1895 + 851 - 2490 - 356)*(1 - 4 + 1) in the form u*p + v and give u.\nAnswer: 7780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 15.2591, -2\/3, -10\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -2, -5 in decreasing order.\nAnswer: -2, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 83080.33 kilometers?\nAnswer: 8308033000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 6:41 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4363.53 and -102.3.\nAnswer: -446389.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)\/d**(2\/5))\/((d**(2\/7)*d)\/(d**(-2\/5)\/d)) assuming d is positive.\nAnswer: d**(-181\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c31c (base 15) in base 13?\nAnswer: -69b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**7\/10 - 19*g**6\/50 - 3*g**5\/100 + 23*g**4\/20 + 4*g**3\/5 - 6*g**2\/5 + g - 19. Solve q(x) = 0.\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-42)\/24) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**6\/720 + 11*y**5\/120 + y**4\/6 - 2*y**2. Let n(f) be the second derivative of g(f). List the prime factors of n(13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/5*7\/(168\/(-40)). Let f(m) be the first derivative of -4 - 59\/4*m**4 - g*m**3 - 7*m**5 - 2*m**2 + 0*m. Suppose f(u) = 0. Calculate u.\nAnswer: -1, -2\/5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2 + (-271)\/(-134)). Let i = y - -197. Calculate the highest common factor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174619852 divided by 1034?\nAnswer: -168878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -35*l**3 + 1004*l**2 - 320*l**2 + 260*l**2 - 530*l + 921*l**2 = 0?\nAnswer: 0, 2\/7, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22479360, 44958721, 67438082, 89917443?\nAnswer: 112396804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 divided by 2?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 3*h - 2*v, -2*v = -h - 8. Suppose -h*n = 1 - 11. Let g be (-61)\/(-5) - 11\/55. Solve g = -n*f + f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166.9 - -174.99. Let m = p + 58.21. Let o = m - 72. What is o rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -177 - -180. Let b(p) = 0*p + p + m*p**2 - p - p**2. Let i(z) = 50*z. Let c(d) = 7*d. Let u(g) = 20*c(g) - 3*i(g). What is u(b(x))?\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 (base 12) in base 10?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:00 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) + (155\/10 - 0). Suppose -h = -6*h - 2*w + m, 3*h = 2*w. What is the nearest to -1\/4 in h, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - r + 4, -40 = -4*v + 3*r. Suppose -5*x = -25, 0*b = 4*b - x + 21. Sort -3, b, v in descending order.\nAnswer: v, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -372 - -374. Let b = 11 + -5. What is the third derivative of b*i**6 + 2*i**4 - 2*i**4 - 18*i**u + 9*i**2 wrt i?\nAnswer: 720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24870*h**3*u + 42*h**3 + 295*h**2*u - 3*h**2 - 369*u wrt h?\nAnswer: -149220*u + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3 - 2*k**3 - k**3 - 7*k - 4*k**3 + 8*k**3 + 6*k**2. Let g be t(-7). What is the closest to 2\/7 in -0.3, 0.05, g?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4100\/225)\/(-41) - (-10)\/(-18))\/((-206)\/(-4))?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*4\/10*5. Let a be (-2 - -21)*(s + 3). Suppose -f + 376*c + 26 = 375*c, -3*c = f + 6. Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8466, -16989, -25500, -33993, -42462, -50901?\nAnswer: -59304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*z, 4*z + 15 = 4*x - 33. Let h be 276\/115 - (-2)\/(-5). Suppose -1 = -h*p + 21. Calculate the remainder when p is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 19*x = 3*o - 35, -4*o = o - 23*x + 268 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.167966 millennia?\nAnswer: 62015.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 1090?\nAnswer: -1089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 12:40 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 88?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -y - 0. Let h be (9\/2 - -1)*2. Suppose -h*x = -7*x - 44. Calculate the smallest common multiple of x and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*q - 31. Suppose -26 = -2*s - 2*l, -s - q = -4*s + l. Solve -t + 2*d = -3*d - 1, 4*d + s = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58 - 35*g**2 + 26*g**5 + 138*g**5 - 2*g**4 - 75 + 32*g**5 wrt g?\nAnswer: 11760*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-19)\/(-38))\/(1\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2\/6 + 2229*m\/2 - 56984\/3 = 0.\nAnswer: -6704, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-48)\/20)\/((-6)\/20). Let c = 18 - s. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 671330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - 2*n - 3*n + 5. Let j be w(-4). Let h(p) = -p + 30. Let k be h(j). What is the greatest common factor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/329948 and -49\/11.\nAnswer: 3629428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or -1444?\nAnswer: -1444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 20 = -v. Let o be ((-2)\/(-5))\/(26\/v). Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 f, and 1 c when three letters picked without replacement from mrsrmfcrfrssrfrrrfcf.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 86533391.\nAnswer: 5\/86533391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1451.9725 + -229.9515. Let o = u - 1.021. Let t = -1220.9999421 + o. Round t to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1297.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28055 is divided by 1240.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -6, 5, -5, 7, -7, -2 in decreasing order.\nAnswer: 12, 7, 5, -2, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 7*x**2 + 6*x + 3. Let t be w(-6). Let v = 277361 + -277361. Solve -2*q + p - 3 = v, t*p = -q + p + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 3*d + 72. Suppose -2*n + 26 = -4*z, 32 = 2*z - 7*z + 3*n. Let w be a(z). Solve 2*s = -q + 14, 40 = 4*s + w*q + 3*q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1383079 to 3 decimal places.\nAnswer: -2.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4288*b**2 - 23*b + 81. Is w(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2)*-1*-5. Suppose -d + 20 = -3*s, 0*d = 3*d - l*s - 48. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -74*r**2 + 4137910*r - 11183000.\nAnswer: -2*(r - 55915)*(37*r - 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*h*j + 3*f*h*s - 5*f*h + 2*f*j*s + 7*f + 6*h**3 + j*s + 3*j with respect to h.\nAnswer: 2*f*j + 3*f*s - 5*f + 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -425 - -854. What are the prime factors of v?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f - 15, -2*n + f - 3 = 0. Let a = -2 + n. What is the remainder when (-3)\/(-1 + 4)*(a - 29) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21, 52, 89, 132, 181, 236?\n\"Answer: 3*n**2 + 22*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110220 (base 3) to base 7.\nAnswer: -1005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105 - 89. Calculate the remainder when 27 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*j, 4*j + 2*x = 4*x. Let r(q) = j - 9*q + 0 - 2*q. Let t(k) = 2*k. Calculate r(t(l)).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -4*q. Suppose 5*d - 5*f - 20 = q, 0 = -f - f - 2. Solve -3 - 9 = d*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -298237.809 to the nearest 100.\nAnswer: -298200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4053371*k**3*t - 748892*k**2*t - 2*k*t wrt k.\nAnswer: -24320226*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 0*j - 20. Let y(d) = 3*d. Let p(w) = -2. Let x = 51 + -39. Let h(l) = -l + 8. Let u(g) = x*p(g) + 3*h(g). Determine j*y(c) - 3*u(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -0.059541269.\nAnswer: 0.654953959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**5*z\/(z\/(z**1\/z*z)))\/(z\/z**0)**(-3\/7))**(1\/3) assuming z is positive.\nAnswer: z**(59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 4 + 2 - 6. Let b(q) = 5*q**2. Give f(b(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0, 0.2, -22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 100110000010010 (base 2) to base 6\nAnswer: 230054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117487 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 + 647894*q**2 - 5183155*q\/4 + 1295789\/2.\nAnswer: (q - 1)**2*(q + 2591578)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 155058356 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d. Let z(m) = -14*m**2 - 3*m + 11015. What is z(f(t))?\nAnswer: -56*t**2 - 6*t + 11015","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 + -149. Solve 3*m = c + u - 9, 4*c + 3*m = -32 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141079\/327165 + -1\/6415. Calculate the common denominator of -76*(-8)\/(-192)*8\/14 and b.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 421 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001833913 rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 83?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g + 4*g**5 - 8*g**2 - 3*g - 109*g**4 + 117*g**4.\nAnswer: 4*g*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4550 and 455.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15610\/27, -81, 2\/9?\nAnswer: 15610\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 199822*g**2*n**3 - 120*g**2*z + 104486*g*n**2*z + 2*g*n**2 + g*n*z + n**3 wrt g.\nAnswer: 399644*n**3 - 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v - 43*v + 20*v + 10*v - 8395*v**2 + 2*v.\nAnswer: -8395*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*p + 76*p = -64 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86\/32787 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 10553796.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95584600?\nAnswer: 2, 5, 229, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-461*m + 61*m - 343*m - 11*m)*(-2*m + 0*m + 3*m) to t*m**2 + d + p*m and give t.\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4134936 by -3016.\nAnswer: -1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15358802, -15358803, -15358804, -15358805?\nAnswer: -15358806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1804134*o**4*r**2 - 2*o**2 - 45443*o*r**2 + r**2 wrt o?\nAnswer: -43299216*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4544071 days in microseconds?\nAnswer: 39260773440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 17, 1 in descending order.\nAnswer: 17, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 i, and 1 g when three letters picked without replacement from sgsi?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j**4 + 272*j**3 - 430*j**2 + 196*j = 0 for j.\nAnswer: 0, 1, 98\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 80 + l + 3*l + 4*l**3 - 5*l**3 + 657*l**2 - 644*l**2. What is the tens digit of g(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129 + 468*h**2 - 209 + 183*h**2 + 733*h**2 wrt h.\nAnswer: 2768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -3, -1, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/46731 and -1\/222.\nAnswer: 93462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 12 - 3 = 3*b, -3*m + 33 = -3*b. Suppose y = t - 12297, -t = m - 3. Round y to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/54808 and 79\/130.\nAnswer: 274040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1193769110414 and 1.\nAnswer: 1193769110415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74559 + -74558.3. Let z(q) = -q. Let s be z(-4). Sort o, s, -1\/7.\nAnswer: -1\/7, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -34. Suppose t*u - 5*d = 459980, 2*u - 79650 = -d + 380354. What is u rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 2)*(1 - 1 - 2) + 3 + 3 - 4)*(-7*a**4 + 13*a**4 - 8*a**4).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2\/3, -21, -0.4.\nAnswer: -21, -2\/3, -0.4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*q + 2*v - 57, -48 = -2*q + 4*v. Let s = -9 + q. Let x(m) = m**2. Let j(c) = -2*c**2. Calculate s*x(d) + 3*j(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27912.\nAnswer: 2, 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/14)\/(n\/(n\/n**(2\/3)*n)))\/(n\/(n**(-1\/4)*n)*n**(-5)) assuming n is positive.\nAnswer: n**(421\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 8.4.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1191860*w + 197355 wrt w.\nAnswer: -1191860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*w - 6 = 81*w. Let x(s) = -4*s**2 - 3*s. Let y(g) = 4*g**2 + 4*g. What is w*y(z) + 4*x(z)?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = -2*g. Let q be ((-36)\/(-84))\/(g\/2). What is the nearest to 0.04 in -2\/13, -2, q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**3 - 7*i**3 + 7*i**3 + (2*i**2 + i**2 - 2*i**2)*(i - 2*i + 4*i) in the form m + q*i**3 + o*i**2 + k*i and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/(d**4\/d))\/(d\/(d*(d\/d**(-4))\/d)*(d*d**(-2))\/d) assuming d is positive.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2875116.\nAnswer: 1\/1437558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 543, 1207, 2039, 3057, 4279, 5723, 7407, 9349?\nAnswer: 11567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604 + 780 + 152 = -384*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 - 11 + 35*q - 37*q)*(-90*q**3 - 301*q**3 - 59*q**3) in the form b*q**4 + x*q + c + u*q**2 + w*q**3 and give w.\nAnswer: 11700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*l - 18, -r - 19*l = -21*l - 17. Is 1\/4164 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 26 = 4*j, 1 - 6 = -j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -12\/144257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.582355 months to millennia.\nAnswer: 0.00196519625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.31 in 2\/5, 3498, -0.4, 81?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21030232 + 1?\nAnswer: -21030231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 5*r - 2*r)*(1925 + 1113 + 859).\nAnswer: -11691*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**4\/12 + 2*k**3\/3 + 2*k**2 - k. Let f = -96 - -101. What is p(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -971*h**3 - 1587.\nAnswer: -2913*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 8*o = -124. What is the lowest common multiple of o and 8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*u + 989 + 1120, 3*b - 2*u - 3171 = 0. What are the prime factors of b?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/70)\/(-2))\/((-14)\/140).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c879 - 2b?\nAnswer: 1c84c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 142\/(-42)*(-6)\/4 and (-146)\/20*(-10)\/(-20).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2672 + 2627 + (2 + 1 - 10).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2\/9*q**4 + 40\/9*q - 16\/9 - 4*q**2 + 14\/9*q**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, -1, -2, 1, -29 in descending order.\nAnswer: 1, -1, -2, -29, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 + 259 = -11*c. Let g(l) = 914*l**3 + 2*l**2 - 5*l + 4. What are the prime factors of g(c)?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15809 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -809, -801, -775, -719, -621?\n\"Answer: 2*w**3 - 3*w**2 + 3*w - 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + -2.1. Let p = 0.9 + d. Let s = 9 - 9.4. Which is the smallest value? (a) p (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 7) + 6 - 4. Sort d, 0.3, -1\/3, -0.3.\nAnswer: d, -1\/3, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = -7 + 25. Suppose -4*l - 3 = -11. Suppose -l*r - 5*m = -0*m - 429995, -2*m = q. Round r to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-25)\/10 + (-6)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24618 + -7702. Suppose 6*u - 4*t - 28208 = u, -3*u - 2*t + c = 0. What is u rounded to the nearest 100?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 10085679?\nAnswer: -1\/10085679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7*f = -5*d + 28, 4*d = -3*f + 17. Suppose -6 = l - d*t + 3, 5*l = 3*t - 1. Solve h - 2 = -l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21039701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1040\/9 + 22259\/198. Calculate the common denominator of o and 37\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 80476.12 micrograms?\nAnswer: 80.47612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -7 + 10 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 50?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1120432?\nAnswer: 2, 239, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -80 + b - 86 - 79 + 253 + 130*b**2 in the form d + p*b**2 + n*b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k - 3*p - 18, -5*k - 2*p + 11 = 0. Let r be ((-2)\/k)\/((-1)\/6). Solve 25 - 5 = -r*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**7\/735 - 4*b**6\/105 - 3*b**5\/14 + 27*b**4\/14 - 21*b**2 - 4. Find z such that y(z) = 0.\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (-5 - (3 + -4) - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*6)\/(sqrt(700)\/sqrt(7)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2173177 is divided by 1178?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + 48 + (-168)\/8?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10952976?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087987 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 4*l + 17, -160*m + l = -158*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2777659 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 = 0, 0*l - 2 = 4*l + 2*i. Do l and -3 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*v - 3. Suppose -i - 23 = -5*g, v*g = 2*g + 2*i + 10. Factor g*r**2 - 3 + 2 + 3*r + 0*r**2.\nAnswer: (r + 1)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 0)*(6 - 1 - 3)*(-3*f + 0*f + 4*f + (0*f + 0*f - 3*f)*(-1 + 8 + 9)).\nAnswer: 376*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**2 + 8*u**2 - 17*u**2 + 86*u**3.\nAnswer: 86*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + f. Let u(k) = -8*k**2 - 2*k. Calculate u(l) - 6*z(l).\nAnswer: -2*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 64. Let m be (1 + 1 - -1) + r + 8. Factor -2\/3*u**m + 0 + 2\/3*u**3 + 0*u + 0*u**4 + 0*u**2.\nAnswer: -2*u**3*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**3 - 4*b**2 - 5*b + 2. Suppose -5*p + 19 = -q, q - 4*q - p = 9. Let f be r(q). Calculate the greatest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/24 - (-76351)\/44. What is the highest common factor of 204 and k?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.0269 - -2.2269. Which is the nearest to 2\/35? (a) 63 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 11:55 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -414 + -0.05.\nAnswer: -414.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27121.\nAnswer: 37, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*q**4 + 11*q + 5 - 10*q - 2*q**3 + 99*q**4 to u + k*q**4 + l*q**3 + h*q + c*q**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 166 - 54 = 0. Let j = -19 - -33. What is the least common multiple of j and t?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 1. Let h(y) = -6*y**3 - 11*y**2 + 3*y + 11. Let o(l) = -5*f(l) - h(l). What are the prime factors of o(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4687 is divided by 896.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 1489.2965400589?\nAnswer: -1489.0965400589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682, 689, 700, 715, 734?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/((k\/(k\/(k\/((k\/(((k**23\/k)\/k)\/k))\/k*k))))\/k))\/k)**(-1\/30))**(-5\/8) assuming k is positive.\nAnswer: k**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 0, -4, -44, -3 in descending order.\nAnswer: 68, 0, -3, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -15 - 2445*t - t**3 + 53 + 2435*t - 8*t**2. Is l(-10) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157276060.\nAnswer: 2, 5, 7863803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 o when three letters picked without replacement from {o: 2, r: 1, t: 3, u: 1, y: 1, z: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 477620.5 millimeters?\nAnswer: 0.4776205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6532 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 72 - 1343*s - 1263*s.\nAnswer: -2606*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - (-18 + 30 - 20 - 1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**3 - 4*q**2 + 5*q + 2. Let v(f) = -f**3 - f**2 - f + 1. Let s(u) = -d(u) - 6*v(u). Let g be s(10). Factor -g*h + h - 2*h**3 + 0*h**3 + 3*h**3.\nAnswer: h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -19\/4 (c) 2.672 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.3, 0.079, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 + 2*s**2 - s**2 + (13*s - 43 + 43)*(5 - 5 + 10*s))*(-s - s - s)*(-5 + 4 - 1) in the form o*s**2 + x + r*s**3 + y*s and give r.\nAnswer: 786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 536189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 9:47 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.4. Suppose 9 = 5*s - 6. Let z be (2\/s)\/(1\/(-3)). What is the second smallest value in -1\/2, t, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145\/6 or -1?\nAnswer: -145\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/353, 3\/2, 310, -1\/46?\nAnswer: -3\/353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:07 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -8. Let k(t) = -t - 2. Let n be k(-3). Let o = n + u. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.8 - 5.2. Let y = -22 - o. Let t(z) = 2*z + 1. Let k be t(1). Sort y, k, -4.\nAnswer: -4, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -580*r**2*w + 399*w wrt r.\nAnswer: -1160*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 + -21)*(11\/(-2))\/11. Solve 5*m = -3*o + 7, -4*m - 8 = -i*o + 5*o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-3)\/(-88)*((-902)\/66 + 13).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 85*g**3 + 90*g**4 + 100*g**4 - 192*g**4 + (-g + g - 4*g**2)*(2*g**2 + 3*g**2 - 3*g**2).\nAnswer: -10*g**4 + 85*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 11 - (8 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46\/13 + -701\/143. Find the common denominator of k and 59\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/18905 and -41\/1606925.\nAnswer: 1606925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 529 - 279. Suppose 3*q + 953 = 2*d - 0*q, -3*d + 1401 = 5*q. Suppose -d = -4*i - u, 3*u - b = -2*i - u. Does 39 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*i - 38*i - 84 = 0. Determine s, given that -80*s - 32\/3 - 168*s**2 - 196\/3*s**i = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 2)*1*-5. Suppose -5*z = -0 - 15. Sort -2, z, t in ascending order.\nAnswer: t, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1335.9724 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 537635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r - 70*r = 2*u - 558, 41 = 39*r - 36*r + 2*u for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-105) + ((-58)\/(-14) - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29\/62 or 0?\nAnswer: 29\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17780 + 7503?\nAnswer: -10276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1390 = -32*d + 4750. Calculate the remainder when 225 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816*c - 2*v = 823*c + 143, 0 = 2*c + 10*v + 550 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245620782 is divided by 6859?\nAnswer: 6851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101 (base 2) to base 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4390 + -4409.91. What is a rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66936354.\nAnswer: 2, 3, 19, 41, 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 199777\nAnswer: 30\/199777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*a - 1008 = -0*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 24\/(-3))\/2. Suppose -h*a = -2*a - 3. Let y be 2\/4*2 - a. Solve -d = 5, y*d = 4*p - d - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2984142 and 4086.\nAnswer: 8952426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22078 a multiple of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*l - 4)*(-24697 + 818*l**2 + 24697 + (0*l - 3*l + l)*(2*l - 2*l + l)).\nAnswer: 1632*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -522.1, 3\/4, 0.3 in decreasing order.\nAnswer: 3\/4, 0.3, -522.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624 a factor of 29535744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h. Let v = 252 + -247. Let w(t) = -t + v*t + 2*t - 3*t. Calculate w(u(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.34 and -1014.\nAnswer: -344.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - y + 13. Let o(x) = -4*x**2 + 4*x - 66. Determine 14*f(b) + 3*o(b).\nAnswer: 2*b**2 - 2*b - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, n: 9}. What is prob of picking 3 o?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -426, -831, -1204, -1545, -1854, -2131, -2376?\n\"Answer: 16*o**2 - 453*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118 - 115. Find the first derivative of 54 - 111 + 2*j**3 + 3*j + 5*j**k wrt j.\nAnswer: 21*j**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88399 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1969517.93 to the nearest 100.\nAnswer: -1969500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12823, -51292, -115407, -205168, -320575, -461628?\nAnswer: -628327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/2*(-14)\/5. Let c be p\/(21\/(-6))*-3. Suppose k = -k + c. Solve -2*b + k*b = -5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/25)\/(144\/(-120)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/5 - 476*h**3\/5 + 3558*h**2\/5 + 27956*h\/5 + 4784 = 0.\nAnswer: -4, -1, 13, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*d - 414*d + 1 - 1.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -5, -2345, 0, -1.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 - 16*g + 44. Let d be z(3). Solve 196 = -13*t + d*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 382332174 divided by 5.\nAnswer: 382332174\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 36 = -k. Solve -10 = k*a - a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-2 - 2)) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c + 3*c - 6*c + 44 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 divided by 75.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from rorgruorrruougrru.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - -7 - (13 - 13).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -15*n. Let t be y(1). Suppose 0 = -5*j + 4*p + 12 - 2, 2*j - 32 = -4*p. Let b be (-2)\/j + (-5)\/t. Solve -4*u - u - 10 = b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 82. Suppose c - x = 5*j, 3*c + 3*j = 3 + 12. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11607891 is divided by 253?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Suppose -2*z + 5*j + 1 = -32, -5*z + 5 = 3*j. Suppose 4*g + 848 = -2*r - h*g, 2*r - z*g = -872. What is r rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10127094 divided by 3375698?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 1 - 1)*(-18 + 9*f**2 + 18 - 3*f**2 - f**2 + 2*f**2 + (-3*f + 2*f + 3*f)*(f - 2*f - f)).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44281 and 3158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - 57. Let j = -69 - k. Which is bigger: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*l + 11 = 0, -3*l + 1 = -3*t - 8. Suppose 4*d + 0*d + 4 = 0. Let z(g) = g**2 + 7*g - 5. Let u(h) = -h + 1. Let n(f) = d*z(f) - 6*u(f). Give n(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18460\/3 > 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -27 (b) -5 (c) 5 (d) -146314 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58255.88641 rounded to the nearest 1000?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/36)\/((-2)\/2616). Suppose -b + 5*b = p. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0, -2, 0.0404?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51645131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 533734155 + -0.1.\nAnswer: 533734154.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 104220767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5405230 - 4?\nAnswer: 5405222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56121 + 24194*u - u**2 - 24194*u - 56121.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2. Let i be ((-2)\/(-6))\/(8\/(-24)). Let n be 219*i*4\/(-6). Let r(l) = 2*l**2 - 146 + n. Calculate r(z(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - y = -2295, 7*y = 2*u + 2*y - 891. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923475289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/7653846 and -61\/2.\nAnswer: 7653846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(84) - 2*sqrt(84))*6)\/(2*sqrt(768)*4).\nAnswer: 9*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 505 + -441. Let x = -63 + o. Let i = 1 - 0. What is the greatest common divisor of x and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-355)\/(-355)*(-54)\/((-6)\/(-2)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 4*a - 4*a)*(6 - 3 - 4)*(-82 + 5 - 172).\nAnswer: 498*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1764677.3 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*b - 199*b = 4009234. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) -7\/3 (c) 7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 582018 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8645.934 days?\nAnswer: 747008697600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*y + 12996 = -319*y. What is the greatest common divisor of y and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 5*i**2 + 12*i + 31. What is o(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5163 - 5182. Let f(m) = -m**3 - 15*m**2 + 74*m - 43. Give f(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**6\/120 + q**5\/12 - q**4\/4 + q**3\/3 + q**2. What are the prime factors of x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*w + 5*w - a - 28, -4 = w + 3*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 349.3 to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445282572 is divided by 285.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**2 + 5*j**2 + 15*j**2 + 510*j**6 - 131 - 21*j**2 + 1933*j**6 wrt j?\nAnswer: 293160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z**2. Let a(w) = 121*w + 7. Let r(c) = -242*c - 16. Let m(g) = -7*a(g) - 3*r(g). Determine b(m(d)).\nAnswer: -117128*d**2 - 1936*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v - 20 - 172 = 0. Let o(s) = s - 5. Let a(m) = -1 + 6*m + 3 + 1 - 7*m. Determine v*a(f) - 5*o(f).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*c + 22*c + 14*c - 76*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373325*v = 373466*v - 10011 for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from eooqecoqqqsokqeq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1430 and 3718?\nAnswer: 18590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 36526 (base 9) to base 13\nAnswer: b1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106963 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39412679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 9:22 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 855440 and 200.\nAnswer: 4277200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2 = -5*f + 12, 0 = -5*f + 10. Suppose -5*u + 0*u = 4*o - 25, 4*u + 4*o = 20. Put u, 29, t in ascending order.\nAnswer: t, u, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88192073?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 - -1.332173?\nAnswer: -89.667827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -679, -61, -31, -2 in descending order.\nAnswer: -2, -31, -61, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.749776919 + -8802.052333081. Let t = n - -8825.80210985. Let o = -22 + t. Round o to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 + 231. Is 1*(r*221 - 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 1363453?\nAnswer: 1363456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 10:57 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.046 - -28.954. Let c = -199214 - -199242.999912. Let x = a - c. What is x rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - v**2 + 1. Let z(i) = 8*i**3 - 7*i**2 - i + 5. Let d(x) = -x + 6. Let u be d(3). Let p(t) = u*z(t) - 15*l(t). Factor p(b).\nAnswer: 3*b*(b - 1)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -380109*c + 2. Let j(n) = -4*n**2. Determine k(j(l)).\nAnswer: 1520436*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - (-33)\/6)*(-4)\/(-18). What is the biggest value in -3, -158.9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -11. Suppose 3*z = -2*n + 1670, -2*z + u*n = -851 - 284. Round z to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 135 = -5*q, -4*q + 3 = 2*b - 41. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = -4*o - 9. Let f be ((-70)\/o)\/((-1)\/2). Let h be 44\/140 - 3\/5. Which is the second smallest value? (a) h (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**2 + 58*p - 153. Let y be g(11). Let i(h) = -h + 1 + 2 - 1 - 7. Let d(x) = 1. Give y*i(n) + 3*d(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1425, -1427, -1429, -1431, -1433, -1435?\n\"Answer: -2*i - 1423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574*t + 2992 = -387*t for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1244*i - 2 + 2 - 573*i - 664*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1465095992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)\/z**(1\/6)*z**2*(z**6*z)\/z)**(-1\/37) assuming z is positive.\nAnswer: z**(-11\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 - 19*y + 17. Let q be v(-8). Let h = 112 + q. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (3 - 39)\/4. Suppose -3*j + 4*k = -464, 2*k = -j + 91 + 77. Suppose -2*q + j = 2*q. Calculate the highest common factor of q and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 1. Let p(o) = 34*o**2 - 5. Let m(q) = 5*n(q) - p(q). Let x be -83*2\/1*5\/(-10). Let d(t) = x - t - 83. Give d(m(i)).\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*l - 23, 0 = 5*w + 3*l - 0 + 3. Let p = 6 + w. Suppose -d + 6 = 1, p*r = -d + 53. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 5*k - 2. Let i be z(6). Let s be 0 + i\/((-8)\/(-6)). Let n = 13 + -11. Sort s, 1, n.\nAnswer: 1, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15939794?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 + 0 - -4. Suppose 0 = -r*z - z - 4*n + 25, -3*z + 3*n = 12. Suppose 2*x - 2 = 3*x. Sort 2, x, z.\nAnswer: x, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40186 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -b + 10, -4*y + 5*b + 4 = 16. Solve 3*t - 5 = -y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449982 is divided by 11217.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-309520)\/27083*1\/3*(-147)\/14?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2713162032 plus -9?\nAnswer: -9.2713162032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331752 minus 12?\nAnswer: 1331740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 - (93676\/(-198) - (-3)\/27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-4))\/(-3))\/((-29)\/348).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-8)\/(k*k*k**(-1\/10)\/k)*k**(-3\/7)\/k*k**(-4\/5) assuming k is positive.\nAnswer: k**(-779\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -114 = -16\/469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32702900 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + 12 + (-13 - 10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 2*y + 8, 15*y + 10 = 6*c + 16*y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/126 and 93\/22.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*((-133)\/231 + (5\/3 - (4 - 3))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let t = -41 - -41.2. What is the third smallest value in 1\/2, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p**3 + p**2 - 3*p. Let l be c(3). Suppose -4*i = -i - l. Suppose i = 4*b + 2*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrpp when four letters picked without replacement from {l: 3, f: 1, r: 1, p: 2, v: 2, z: 10}?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 153, -5, 36 in increasing order.\nAnswer: -5, 0, 36, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/6 + 92788*z\/3 + 4304806472\/3 = 0.\nAnswer: -92788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*1\/(-5))\/(10\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1368 = 3*z, 2270 = -z - 4*z - 5*c. Let o = -308 - z. List the prime factors of o.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -344*z - 58910. Determine s(-177).\nAnswer: 1978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3 - 0. Let d be (-16)\/6*p\/(-4). What is the second smallest value in d, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-40)\/(10 + -15) - -1336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 31.3447 (b) 6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 6. Determine f(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 716547*z**4 - 1015088 wrt z.\nAnswer: 2866188*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lllllnllllllllllllll.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 769\/171 + 1\/342. Let h(g) be the first derivative of -10 + d*g**4 + 0*g**2 + 14\/3*g**3 + 0*g. Find the third derivative of h(j) wrt j.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607162387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 285 + 276 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 232*m + 38252.\nAnswer: -4*(m - 73)*(m + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 9 + 1. Let b(x) = 5*x**3 + 2*x**2 - x - 2. What is the least common multiple of f and b(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 + 24\/14. Suppose 0*q - q = 3*k + 16406, 2*q + 32796 = m*k. Round q to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2750671*j**3 + j**2 + 17435892*j wrt j?\nAnswer: 16504026*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2028 - -925393298.\nAnswer: 925391270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven quarters of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 739547*q**2 - 14*q**3 + 25*q**3 - 739547*q**2.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 937*r**5 + 33*r**2 - 5*r**4 + 79*r**5 + 5*r**4 wrt r.\nAnswer: 60960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20294 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4499 + -14.5501. Which is the second biggest value? (a) -3\/2 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c*d**3*y**2 - 5*c*d**2*y + 9*c*d*y**2 + 82*c*y**2 + c*y + 2*c + 2*d**3*y + 4*y wrt y.\nAnswer: -6*c*d**3 + 18*c*d + 164*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24acd1 - -5d?\nAnswer: 24ad2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -192 - -282. Suppose -3*r - 2*r = -5*x - l, 0 = 2*r - 4*x - 38. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 5*j - 4. Calculate the remainder when 2 - (0 + -1)*(-1 + 5) is divided by c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((-8 - (-7 + 11)) + 22)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 46. Suppose l = -2*p + 576. Suppose 2820 - p = 5*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6*77\/378)\/(4\/(-39)) and -35\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.199935 - 4347.\nAnswer: -4346.800065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26.52513 and 4.\nAnswer: 106.10052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17cd (base 15) to base 6\nAnswer: -35451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**5\/180 + z**4\/54 - z**3\/54 - z**2\/9 + 15*z. Let q(d) = 0. What is d?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/4 - 21*p\/2.\nAnswer: -3*p*(p + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4\/7 - 32624*y**3\/7 + 195408*y**2 - 2734144*y + 12755680 = 0.\nAnswer: 14, 16270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2464 and 59\/3872?\nAnswer: 27104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/9)\/(1205\/1446).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - -24 - (2 + 3 + -32)) + 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p + 42. Let w(x) = 6*x + 42. Let y be w(-6). Let c be y\/3*(4 + -9 - -8). Let h be o(c). What is the closest to 1 in h, -2\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**4 + 64*s**3 + 68*s**2 = 0.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2144*z + 1035*z + 1034*z - 3150 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 3. Let q = -4 + 4. Let z be l(q). Suppose k - 19 = -z*f - 0, k - 31 = -5*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + (0 - -5))*(-5 - -7). Let q = 7 + -7. Sort q, 2, -9, w in descending order.\nAnswer: 2, q, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18, -5, 4, -0.3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*w + 23 = 0, 5*w + 28 = -t + 6. Let o be -7 - (3*-2 + t). List the prime factors of ((-8)\/(-10))\/(o\/(-90)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98716*n**3 + 205*n**2 - 205*n**2.\nAnswer: -98716*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193\/2 - 99. Suppose -3*i = -5*i + 4. Suppose 0*s + 4*s + i*b = -24, -2*s - 4 = -b. Are s and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -7*y + 20. Suppose -5900 = g - 0*g + 2*r, -y*g + 2*r = 29500. What is g rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24420, -48848, -73290, -97752, -122240, -146760, -171318, -195920?\nAnswer: -220572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1215)\/sqrt(3)*2.\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*h = 81*h - 2*z + 5, -4*h + 1 = z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9603, -77972, -263555, -624960, -1220795, -2109668, -3350187, -5000960?\nAnswer: -7120595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129.573 + -0.427. Let m = s + 131. What is the fourth smallest value in 3.5, -2, m, -3?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18961744?\nAnswer: 2, 1185109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpcxwpb. What is prob of picking 1 c and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/18*(-16524)\/(-1224)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8027, 0.352, 1 in descending order.\nAnswer: 1, 0.352, -8027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1404745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u + 6. Let k = -22 - -9. Let f(o) be the third derivative of -5*o**4\/8 + 13*o**3\/6 + o**2. Let n(b) = k*w(b) + 6*f(b). Give n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, -8 in descending order.\nAnswer: 0.2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 323*d - 1930. List the prime factors of j(24).\nAnswer: 2, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**8*u)\/u*u\/(u\/u**(1\/4)))\/(u**3)**5 assuming u is positive.\nAnswer: u**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5328\/(-96)*1*8\/(-12).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*z + 20, -2*t + 10 = -5*t - 2*z. Let y be t\/(-3) - (-2 + 4). Calculate the lowest common multiple of 25 and y\/7 + 1\/(56\/576).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3238 + 1375 = 3*r, -7703 = -5*r + 4*g. Calculate the highest common factor of r and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from kooshoeheehfss.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 5. Suppose -2*y = 5 - t. Calculate the common denominator of (-3)\/((-90)\/357) + y and -57\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 - -62.4. What is the nearest to -2 in p, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 476*y**3 - 49*y**2 - 224*y - 38. Let g(x) = -95*x**3 + 10*x**2 + 48*x + 8. Give -14*g(a) - 3*z(a).\nAnswer: -98*a**3 + 7*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 126 - 126 + u**2. Let b(f) = 10*f**2 - 7*f + 8. Let s(l) = -9*l**2 + 6*l - 7. Let m(o) = 6*b(o) + 7*s(o). Give -5*a(r) - m(r).\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f - 1106 + 800. Let s = -33 + -17. Which is greater: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -321, -1000, -2307, -4452, -7645, -12096, -18015?\nAnswer: -25612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10192 is divided by 1986?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3576877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by 525.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/46751271?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 6. Let l be (-4)\/(4\/28*-2). Suppose -4*w - 4*j - 12 = 0, j = -4*w - j - l. What is h(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:07 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -105? (a) -50 (b) 2\/15 (c) 2 (d) -3 (e) 11 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15532747 is divided by 7766370.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -9, -12 in increasing order.\nAnswer: -12, -9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a54 - 3826?\nAnswer: -1cc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z = 6. Let y be (5 + -6)\/(z\/12). Suppose 0 = 3*q - y - 15. What is the greatest common divisor of q and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -2 (b) 3 (c) 0 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p + 6. Suppose -5 + 17 = -p*y. Let a(o) = o**3 + 7*o**2 + 6*o + 6. Is a(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 591 and 6711.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.2 and -0.186?\nAnswer: 1.3392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 3\/2*a**2 - a + 4. Suppose 5*h + h = -24. What is j(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81605, -653650, -2206345, -5230016, -10214989, -17651590, -28030145, -41840980?\nAnswer: -59574421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r - r + 2 + r - 2 + (0 - 1 + 0)*(-r + r - r) + 0*r - r + 3*r + 5*r - 4*r + 3*r)*(-1212 + 53*r + 1212).\nAnswer: 477*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 23, 26, -22\/13 in descending order.\nAnswer: 26, 23, 0.4, -22\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from caccwcfcccfwafcwa?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c - 5*c - 19*c as x*c + v and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 6*n + 3. Suppose 5*j - 2*v = -29, -3*j - 15 = -4*v + 2*v. Is q(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -1\/29, 14.5, -2\/7.\nAnswer: -1, -2\/7, -1\/29, 1, 14.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -308, 0.2, 0.4, -2 in descending order.\nAnswer: 0.4, 3\/8, 0.2, -2, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, 47, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -12532*w**3 - w**2. Let r be z(-1). Let d = r - 125409\/10. Let l = -1\/3639 - -76435\/58224. Find the common denominator of l and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -146521, -1172265, -3956441, -9378265, -18316953?\n\"Answer: -146536*g**3 + 8*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1504 or -1453?\nAnswer: -1453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-70)\/8)*(-75)\/(-30).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 4*p. Let z = 1078\/85 - 64\/5. Let f = -8640 - -112318\/13. Which is the closest to p? (a) z (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 385 - 201. What is the highest common divisor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 2, t: 2, e: 2, u: 1}. What is prob of picking 1 t and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 5:24 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62404 and 12?\nAnswer: 187212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43*m - 29*m - 7*m**2 + m**2 + 40*m + 4*m**2.\nAnswer: -2*m*(m - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-1))\/((-2)\/(-10)). Suppose 9*k - f*k = 20. Suppose -12 - 8 = -k*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1074465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 12*c - 7. Let a(h) = -2*h + 1. Let b be a(-2). Is o(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from {d: 1, j: 1, e: 1, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/21*((-3)\/(-6) - 4). Sort -2, -0.2, 11, l.\nAnswer: -2, -0.2, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.07 (b) -1\/16 (c) -5878 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 9*p**2 - 12*p + 159. Let t be r(8). Which is the closest to -7\/5? (a) t (b) 15 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.02419ml in litres?\nAnswer: 0.01302419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -14*r + 127. Suppose -d = -5, 0 = 3*c - 2*c + d - r. What is the second derivative of c*s - 5*s**5 + 32*s + 18*s**5 + 16*s**5 wrt s?\nAnswer: 580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from zpfpthhhccppchz?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 - 151941031866.\nAnswer: -151941031865.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 4 (c) -7.3 (d) -0.08 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -35\/10628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7377242 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 103494 divided by -141\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -1487 and 27.\nAnswer: -1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1028.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z. Let p(q) be the third derivative of q**7\/630 - q**5\/5 - 9*q**2. Let x(t) be the third derivative of p(t). Determine 2*x(v) + 5*y(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10*k + 1. Let i be r(-1). Suppose -3*a = -4*o - o - 30, -3*o = 0. Let f = a + i. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1761 and 0.3?\nAnswer: -528.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sggbsgi. What is prob of sequence isbg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.4 (b) -4\/3 (c) 1 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**5 - 42*i**4 - 31*i**3 + 154*i**2 + 204*i + 56 = 0. Calculate i.\nAnswer: -7, -2, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17*b + 39 + 24*b + 17*b - 54*b. Let y be a(-9). Solve -y*h - 8 - 3 = 5*x, -18 = -2*h + 3*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 4)*(w - 4*w + w)*(-4*w - 4*w + 5*w).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4058020 and 2596?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*-4*4\/120. Let u(g) be the first derivative of -r*g + 0*g**2 + 2\/15*g**3 + 1. Factor u(p).\nAnswer: 2*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g. Let f(m) be the first derivative of 7*m**5\/24 + 2*m**3\/3 + 16*m - 42. Let d(z) be the third derivative of f(z). Give d(t(c)).\nAnswer: 105*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.634 + 0.034. Let f = 1.1 + o. Which is the nearest to -1? (a) -3 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 4. Let c = -101 + 156. Let n(o) = c*o - 54*o - 4 + 6. What is -2*k(f) + 5*n(f)?\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13027 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10943403280 from 0.037.\nAnswer: 10943403280.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13882)\/(-14) + (-59)\/(-7) + -9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 10:26 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22, -104, -186, -268, -350, -432?\n\"Answer: -82*a + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5966925\/29 or -205756?\nAnswer: -205756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffnfmfffnf. Give prob of picking 3 f and 1 m.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*-6493982\nAnswer: -1039037.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -896852 and -29.3929.\nAnswer: -896881.3929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, -0.03, -0.1, 2\/7, -0.5, 596?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 12*o**2 - 42*o + 1. Let d be c(6). Put -1, d, -3 in descending order.\nAnswer: d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -31. Solve o - 5*h = d, -o = -3*h + 4*h - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1044\/(-1152)*32?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -37, -41 in ascending order.\nAnswer: -41, -37, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -879.0000758 + 879. Round s to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2576361758.\nAnswer: 2, 1288180879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = -2*u - 4*r, -3*r + 35 = -4*u. Put 2, u, 0 in ascending order.\nAnswer: u, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-14))**(2\/19)*i**(2\/7)*i**(3\/4))**(10\/7) assuming i is positive.\nAnswer: i**(-885\/1862)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z = -242*z + 370. Solve -3*q + p = 4, -z*q + 4*q + 31 = -5*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12d6d9 (base 14) to base 10\nAnswer: -651695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 17. Suppose -m - 4*z + 25 = -0*z, -5*z = v*m - 54. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/12 and (-29 - -36) + (-149)\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162002036?\nAnswer: 2, 3, 13, 1171, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 9:29 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/3 (b) 3 (c) -302\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-14 + (-11 - -5)) - -30.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -234*m*s**4 + 4*m*s**2 + 641*m*s wrt s.\nAnswer: -2808*m*s**2 + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 32*v + 381. Let k be c(-12). Which is bigger: k or -27\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 14*s - 572. Suppose t = -0*m + m - 13, 3*m - t - 49 = 0. What is the remainder when s is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y + 27. Let a(m) = -m - 9. Let x be a(-5). Let g(f) = -f - 4. Let w(q) = x*o(q) - 27*g(q). Determine w(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 7. Let h = s + -3. Let c = 6.3 + -6. What is the second smallest value in h, c, -3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 15*y**2 + 55*y + 13. Let z be p(18). Suppose 24*w - z*w + 28 = 0. Solve 0*t = w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 + 5 = 0. Suppose -5*i = 2*g, -g + 16 = l*i - 3*g. Suppose -i*f = 2*f - 8. Solve -f*a = -5*a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53198855\/10581298 + -6228\/1237. Calculate the common denominator of i and 65\/4.\nAnswer: 17108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13135513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 - 317930*d - 635852 = 0. What is d?\nAnswer: -158963, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1029\/(-98)*(-446)\/3. Which is greater: 1560 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Suppose -4*d + 3*d = -6. Let h be (-24)\/d*(-1)\/s. Is h <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 19*a**2 - 24*a - 66. Let z be g(-20). Let s be (-1 + 195\/9)\/(24\/36). Put s, 0, z in descending order.\nAnswer: s, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 43680*i - 3538062. Give o(81).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z + 10 = 23*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002424 rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1267624090 divided by -2\nAnswer: 633812045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -558.29767, 1\/3, 4.\nAnswer: -558.29767, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, 23, 71, 139, 227?\n\"Answer: 10*k**2 - 2*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2463*s + 31594 + 66926 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 174312566 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((r**2 - 4*r + 4*r)*(1 - r - 1) + 55*r**3 + 247*r**3 + 792*r**3 + r**3 + 2*r - 2*r)*(-4 + 2*r**2 + 4).\nAnswer: 2188*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52246 and 453?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*i + 129*i - 394*i)*(-3 + 0 + 4).\nAnswer: -224*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*h + 38*h + 48. Let r be (-1)\/(-2) - (-567)\/(-14). Let v = r + 42. Solve 3*m + v*m = 2*g - h, -3*g = -4*m - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 + 8*k**2 + 5*k. What is z(-5)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -1 + sqrt(128))**2 - (-3*(sqrt(4) - sqrt(12)\/sqrt(3)))\/sqrt(2).\nAnswer: -20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(121) - sqrt(121))*-6*-6)\/((sqrt(33) + sqrt(3993)*2)\/sqrt(3)) + 0.\nAnswer: 180*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 2068*t**5\/5 - t**4\/2 - 3747*t**2\/2 - 142. What is the second derivative of d(s) wrt s?\nAnswer: 24816*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -39. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 6*b**2 - 6*b + 4. What is z(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 519, 2579, 5995, 10767, 16895, 24379?\n\"Answer: 678*m**2 + 26*m - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.3412 rounded to zero dps?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 5*p**3 - 73*p**2\/2 + 3*p - 159. What is the second derivative of f(v) wrt v?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5588*z - 5585*z + 2*j - 69 = 0, -30*z = 5*j - 150 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-12)*3 + 52248\/(-96). What is the hundreds digit of (117\/(-26))\/((-1082)\/h + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -7. Let t = h + 32. Suppose -22 - t = -5*b. Calculate the smallest common multiple of b and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (10 - 4) + -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -7. Suppose -3*i = -4*d, 2 = -g*d + 17. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*w + 17, -14*p - 32 = -12*p + 2*w. What is the remainder when ((-62)\/(-14) - p\/(-35)) + 810 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 74\/(-28) - (-42 + -8)\/10. Which is smaller: r or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + (6 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**3 + 6*n**2 - 9*n + 456. Suppose -3*w = -5*f + 139 + 161, -5*f + w + 300 = 0. Calculate the remainder when f is divided by y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151292, 302590, 453882, 605162, 756424, 907662, 1058870, 1210042?\nAnswer: 1361172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, d: 1, p: 6, y: 3, s: 4}. What is prob of sequence cssy?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10*a - 14. Let u be y(2). Let b = -13593 + 298965\/22. Find the common denominator of b and ((-1558)\/(-570))\/(4\/u).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43769)\/(-11418) + (-12)\/(-8)\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5851442 + -0.78514382. Let v = b - -0.2. Round v to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2706 divided by 3.\nAnswer: -902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpttxtxfxxfxtfttfttf. Give prob of picking 1 p and 2 t.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**4\/4 + 3*o**3 - 8*o**2 + 4650*o. Give r(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 74, -1, -5\/2, 71?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*k)*(4*k - 4*k + k**2) - 93 + 98 - 2*k**3 + 6*k**3.\nAnswer: 6*k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**5\/60 + s**4\/12 + 35*s**3\/2 + 3*s**2. Let r be c(0). What is the highest common divisor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**3\/3 + 6*m**2 + 8*m. Let o be a(-6). Suppose b + 2*b - 57 = o. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/9 and (2\/(-3))\/((-20)\/231).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r - 168. Let c be b(45). Let g be (-1 - -1)*51\/c. Solve -2*q - 10 = -5*h + 3*q, -q - 1 = g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(44)\/sqrt(64))**2 + -3 + 4.\nAnswer: 115\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h = 55*h - 60. Suppose 3*a - 8867 = h*o, 2*a = -5*o + 5473 + 455. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 4*s + 5. Let z be f(-4). Let k = 753 - 513. Let t be k\/36*3\/2. Calculate the highest common factor of z and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-189))\/((-336)\/(-784))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 5*c + 19. Calculate h(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 105 = 108. Let w = 2345\/11 - t. Let z be (-7)\/(21\/(-18))*(-17)\/(-85). What is the third biggest value in w, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 0 - (12 - 2). What is the hundreds digit of (1 - (325\/(-20))\/f)*-6316?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -2. Let g = u - 5. Find the first derivative of a**3 - g + 2 - 5 + 4 wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 + -1.1. Let o = -14.8 - -14.9. What is the closest to o in m, 0, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 159, 190, 219, 246, 271, 294?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000471 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/54396 and 99\/20?\nAnswer: 271980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-24))\/1)\/(21\/21).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3e5 (base 16) to base 12\nAnswer: -6b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3182 = 4*g, -642 = -m - 0*g + 2*g. List the prime factors of m.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(144)\/sqrt(3) + 2 + -4*-2*sqrt(48) + 5.\nAnswer: 6 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, b: 3, n: 1, v: 1, o: 2}. Give prob of sequence vbn.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q - q**2 + 6*q - 2 - 7*q. Let z be -6 - 2\/(2 - 4). Determine s(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 3*r. Suppose b = -r*l - l + 2, 5*b + l = 10. Suppose 3*g = b*g. Solve 5*i - 5 = -g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvpg when four letters picked without replacement from {p: 5, v: 2, g: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-8))\/((-3)\/6). Let d be -6 + 3 + 4 + t. Let z(l) = 0 - 1 - d*l - 3*l - l**2 - 1. Determine z(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 2 - sqrt(1100))**2*6 + 0 + ((sqrt(77) + sqrt(77) + 2*sqrt(77) + sqrt(77))\/sqrt(7) - sqrt(176)*1)**2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1407 in -3\/2, 0.05, 7.84, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 3:45 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 9:22 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -408 or -409?\nAnswer: -409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from gugugbdpcuggg?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1501\/(-76) + 1\/(-4). Let d be (-271)\/4 + 5\/w. What is the remainder when d\/(-8) - 9\/(-6) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/(-6) - (-12)\/18. Suppose z + 3*n = 18, 4*z + n - 21 = k*n. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 601 - 1168. Let m = w - -500. What is the third smallest value in -0.1, 1\/7, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/68?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1548?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 520 + -519.227. What is t rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80 in 0.2, 0.13, -1\/2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 0*k**3 + 0*k**2 + 0*k**5 + 0*k**6 + 3\/4*k**4 + 5*k + 0 - 1\/14*k**7. What is the third derivative of v(f) wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - f + 1. Let b(t) = t**3 - 4*t**2 + 4*t - 4. Let l(a) = b(a) + 4*j(a). Determine i, given that l(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 27. Let w be s(9). Solve 3*l + u + 7 = -6, w = -5*l - 5*u - 25 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 2:22 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.29 < -50\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83381 is divided by 1934.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -605, -659, -727, -815, -929, -1075, -1259, -1487?\nAnswer: -1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 111092414 and -0.06.\nAnswer: -6665544.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/33 and -3 - (7\/154)\/((-2)\/36).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 - 649098*c**2\/7 + 7520239584*c + 3951777801600\/7.\nAnswer: 2*(c - 162312)**2*(c + 75)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*a - 21426 = 0, -10*a + 7*a = 4*w - 42849. What is the thousands digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7694.88 - -7695. Let q = -733\/12586 + 2\/203. Let t = 239\/186 - q. Put t, p, 1\/4 in decreasing order.\nAnswer: t, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 6:58 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -70145 not equal to -70145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + d + 1 = -a, -d + 3 = 4*a. Suppose -3*m + 15 = 3*w, -2*w + m = -m - a. Suppose -3 = -3*k - n, k - n + 2*n - 1 = 0. Solve w = -s + k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18700099237\/54 - 346288249. Let c = -9886 + u. What is the common denominator of -71\/96 and c?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 k when four letters picked without replacement from {s: 1, k: 1, b: 6, l: 1, u: 4}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11.45*-0.2\nAnswer: 2.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3434, -3480, -3544, -3626, -3726, -3844?\n\"Answer: -9*f**2 - 19*f - 3406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 70713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**4\/10 + 26*o**3\/15 - 48*o**2\/5 + 72*o\/5 - 54. Factor y(u).\nAnswer: -2*(u - 6)**2*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 5*y = -14. Let n(i) = i**2 + i. Let a(s) = -173*s**2 + 180*s**2 + 17*s - 12*s. Calculate y*a(k) - 5*n(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.6 or -41408?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*v**4\/11 + 174*v**3\/11 - 106*v**2\/11 - 48*v\/11 = 0. Calculate v.\nAnswer: -3\/10, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*h**4 + 639*h**3 - 301268*h**2 wrt h?\nAnswer: 3072*h + 3834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 2. Let w be d(8). Suppose -o - 5*y = -2, y + y = -w. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -239970.\nAnswer: -95988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.13390634.\nAnswer: 0.053562536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2 + 663712*c + 110128404736 = 0. What is c?\nAnswer: -331856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*m - 1351, 0 = o + 7*m - 11*m - 456. Calculate the greatest common divisor of o and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 12. Let i be k(-8). Suppose -3*q = -i - 47. What is the remainder when q is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + 10 - (-75 - -80).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 118*u**2 - 357*u + 861. Give j(-121).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 178150 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z**2 + 26*z**2 + 8*z**2 + 32*z**2 + 26*z**2 - 70*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5 + 20. What is the third derivative of 19*h**2 - h**2 + 6*h**2 + 29*h**p + 0*h**2 wrt h?\nAnswer: 1740*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/6 - 3*x**4\/2 - 3*x**3\/2 + 49*x**2\/6 - 5*x = 0. What is x?\nAnswer: -6, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*j + 2 - 109*j - 92*j + 17 - 3*j**2 + 312*j to the form h*j**2 + w*j + v and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-41)\/(-205) + (-2)\/10*-29. Solve -11*r + 5*r = -i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100 (base 3) to base 6.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2, -5, -32, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3152 by -6.\nAnswer: 1576\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i + 2. Let j be q(-4). Let h(w) = -11*w**2 - 3*w + 3. Let s be h(2). Let x = j - s. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156774 and 9010?\nAnswer: 783870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -623009 divided by -2?\nAnswer: 623009\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2035600216?\nAnswer: 2, 13, 1249, 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 577612*d**2 - 8087156*d - 28305732.\nAnswer: 4*(d - 144417)*(d + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t**2 + 7*t. Let i(v) be the first derivative of -v**3\/3 + v**2\/2 + 1. Let l(x) = 35*i(x) - 5*q(x). Let c(j) = j**2. Give l(c(p)).\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**3 + 17*v**3 - 7*v + 0*v - 4*v**3.\nAnswer: 28*v**3 - 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14162649 by 4.\nAnswer: -14162649\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(-2*sqrt(7) - sqrt(7)) - sqrt(7)) + sqrt(7))*1 + -2*sqrt(28) + -1 + sqrt(112) + (-4 + (sqrt(7) - sqrt(252)) - (0 + sqrt(448))*2))**2.\nAnswer: 90*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12*x - 751602 = 10*x, 3 = 3*x. Round p to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -28. Let z(i) = -o - 10 + 1 + 4*i. Let w be z(4). Solve 2*s - 24 = -w*y, 0 = 5*s + 4*y - 21 - 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 19*g + 50. Suppose 32 - 2 = -5*j + 3*d, -2*d = 5*j + 5. Let m be o(j). Is m < -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (-35 + 14 - (7 - 42))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6888)\/(-26) - (-15 - ((-7566)\/169)\/3). Solve -s*v + 278*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**2 - 1\/60*f**6 + 0 - 1\/6*f**3 + 0*f + 0*f**4 + 1\/20*f**5. Suppose -2*t + 14 = 10. Calculate m(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -66 - 108. Let s be (-9)\/(-45) + u\/10. Find the third derivative of -12*r + 12*r + 7*r**s + 2*r**2 wrt r.\nAnswer: 840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 802 = 3*w - 2*k, 5*w - 4*k + 5*k = 1354. Suppose 0 = v - 7 + 6 - 9. Calculate the greatest common divisor of w and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlnz when four letters picked without replacement from vlrzrlrrlrnr?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + 36 = 11*p. Let q = p - -3. Let v = 23 + q. Calculate the greatest common factor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26e + -12d?\nAnswer: -39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 747 and 996.\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i - 1. Let l be z(-3). Suppose 0 = -4*u + 4*n + l, n + 14 = 2*u - 3*n. Let f be -45 + 47 - (20\/45 - 0). Which is greater: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 15*u + 33. Let m be z(-13). Let n(k) = -2*k + 10. Let f be n(m). Let b be 17 - ((3 - 0) + f). Calculate the highest common factor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j = -3*f, 0 = -f + 4*j + 11. Let r = -2 - f. Is r <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56*q**3 + 17*q - 18285.\nAnswer: -168*q**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 14, m: 4}. What is prob of picking 2 m and 2 z?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Suppose -90 = 38*v - 52. Put v, t, 0.5, 12 in decreasing order.\nAnswer: 12, t, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -241*z + 724. Let s be d(3). Let t(f) = -2*f - 13. Let m(w) = w. What is s*t(l) + 5*m(l)?\nAnswer: 3*l - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.241? (a) 1 (b) 144 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1985637?\nAnswer: 3, 661879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 + 3*h - 3*h + (2*h + 3*h - 4*h)*(-h**2 - h**2 + h**2) + h**2 - h**2 - 2*h**3 + h**3 - 3*h**3 - h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -950, -949, -948?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*l - 66*l - 197*l - 139*l + 2 + 13*l - 3.\nAnswer: -345*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*o + 4, 7*m + 3*o + 14 - 20 = 0. What is the second smallest value in 2\/817, -2, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**5\/70 - 2*q**4\/21 + 5*q**3\/21 - 2*q**2\/7 + 6*q + 22. Let a(n) be the first derivative of h(n). Solve a(m) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2637*l - 2650*l + 5300*l - 12 + 7*l**2 - l**3. Determine y(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) 0.005 (b) 2\/3 (c) 0.5 (d) -5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 6:06 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 31. Suppose 0*v - 4*v = 4*n - f, 0 = 4*n + 3*v - 30. What is the units digit of ((-38)\/(-4))\/(3\/n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 7*t - 5*t + 10*t)*(-1459*t**2 - 338*t**2 - 8065*t + 8065*t).\nAnswer: 1797*t**4 + 3594*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46\/13*s + 44\/13 + 2\/13*s**2.\nAnswer: 2*(s - 22)*(s - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -147.000003181 - -147. Round t to 7 dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3877526 to the power of 1\/2, to the nearest integer?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/955? (a) -0.3 (b) 2 (c) -29 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1274 and 101\/910.\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8026 is divided by 1290.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 13*p. Let k(s) = 146 + 4*s - 146 - 2*s. Calculate k(z(i)).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000140179 to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 102210100110?\nAnswer: 102210100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/7*-2)\/(6\/(-14)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3510.56 - 7987\nAnswer: -11497.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -20 + 160 + -171 - -7.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 2\/39, 0.5, 0.1, -0.5 in decreasing order.\nAnswer: 59, 0.5, 0.1, 2\/39, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, p: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**7\/21 + 47*d**4\/6 + 343*d**3\/6 + d**2 + 17*d - 44. What is the second derivative of u(k) wrt k?\nAnswer: -40*k**3 + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -603494*w**3 - w**2 - 23*w + 603495*w**3 + 7 + 0*w**2 to a*w + p*w**3 + o*w**2 + s and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -79 - 57. Let u(v) = 23*v**2 + 4*v - 6. Let z be u(2). Let d = z - p. What is the greatest common divisor of 40 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3\/7 + 1692*d**2\/7 - 95190*d\/7 + 93496\/7 = 0.\nAnswer: -899, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o - 9. Let i(w) = -3*w - 8. Suppose -2*z - 30 = 3*z. Let b(t) = z*i(t) + 5*n(t). Let m be b(-3). Solve -a + 4*a = m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 5:01 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7755475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 447105\/(-14540) + ((-3)\/(-4) - 3)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p**3 - 453*p**2 + 6*p + 3312. Let x(d) = 18*d**3 + 907*d**2 - 10*d - 6622. Let j(i) = 5*k(i) + 3*x(i). Find the first derivative of j(m) wrt m.\nAnswer: -3*m**2 + 912*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -387, -689 in decreasing order.\nAnswer: -5, -387, -689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -1)*(-64)\/16. Calculate the remainder when 17 is divided by (-3 + f + -2)*-17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2226)\/7)\/(-53) + -39.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -0.4, -7\/3, 12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggzzzrgzxzhhxhzxzg. What is prob of sequence rx?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/4 - 23449*r\/4 + 4943487 = 0.\nAnswer: 876, 22573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 9*o**5\/20 - 8*o**4\/3 - 18*o. Find the third derivative of x(p) wrt p.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/((-14)\/(-8)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47\/184 - 1\/184. Sort 2, 5, w, 2\/7 in decreasing order.\nAnswer: 5, 2, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 57*n**2 + 17*n - 36. Give v(57).\nAnswer: 933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c - 55. Let k be 11\/(-44) - c\/4. Is (-4304)\/k - (-30)\/(-70) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, t: 6, l: 3, m: 2, p: 1}. What is prob of sequence stmt?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/6)\/(8\/1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n*x**3 + 10*n + x**3 - 11729205*x**2 - 53603*x + 1 wrt x.\nAnswer: -18*n*x + 6*x - 23458410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/8 of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273 divided by 11.\nAnswer: -273\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2 - 44*t - 80. Let h(d) = -d. Let u(x) = -b(x) + 4*h(x). Factor u(p).\nAnswer: 5*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3*o - 12, 0 = 4*f + o - 197 + 184. Let n be 3\/(2 + 18\/(-10)). Solve p + n = -2*q, -2*p - 5*q - 20 = -f*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -761*u + 1495*u - 3*u**3 - 734*u.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-119) + ((-972)\/(-2079) - 2\/11).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -29*b**3 + 55*b**2 - 6*b - 6. Let l(r) = -26*r**3 + 50*r**2 - 5*r - 5. What is 7*d(z) - 8*l(z)?\nAnswer: 5*z**3 - 15*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-91)\/(-26) - 6)*(-21 - -3). What is the nearest to 2 in -5, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 1, g: 2, v: 2, a: 6, u: 8}. Give prob of picking 1 v and 1 a.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(85) - (sqrt(85) - 2*sqrt(85))) - sqrt(85) - sqrt(85)) + sqrt(85))\/(sqrt(5) + (sqrt(5) - sqrt(20)\/sqrt(4))*-2 + sqrt(5)))**2.\nAnswer: 2057\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -11*c**2 + 2*c - 5. Let q(r) = r**2 + 26*r - 53. Let p be q(-28). Let w(i) = -5*i**2 + i - 2. Determine p*b(g) - 7*w(g).\nAnswer: 2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 11, -4, -5 in increasing order.\nAnswer: -12, -5, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1297 (b) -4 (c) -0.2 (d) -0.1 (e) 1.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3 - 3 - 24*f to the form x + b*f and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -9, 81, 24, -1\/6, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-five halves of a micrometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468533376?\nAnswer: 2, 3, 135571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.4 - 43. Let u = -3.3 - z. Let h = 0.36 - -0.04. What is the closest to -0.1 in h, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -41648395.7 and 8.0793.\nAnswer: -41648387.6207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/170)\/(-4 - 364\/(-20)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*i + 20 = 2*d, -14 = d + 4*i. Suppose 3 + 1 = d*v. Let h(n) = -n**3 + n**2 + n - 2. What is h(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 21*a**2 - 35*a - 70. Let s be x(19). Which is smaller: s or 42?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 0*q + 2 = 2*q, -r = 3*q - 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 4051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/15, 0.5, -0.1, -1, -279, 0 in descending order.\nAnswer: 0.5, 4\/15, 0, -0.1, -1, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2 - 0. What is the units digit of -14*h\/(-4)*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2. Let b(j) = j - 2336222. Calculate b(c(w)).\nAnswer: -4*w**2 - 2336222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Suppose x + 6 = -2*s - 3*x, -3*x + 8 = 4*s. What is the smallest common multiple of s and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-7)*(-8937)\/(-14895))\/((-33)\/(-7)).\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 253 - -120. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/30 - (25\/(-2) - 0). What is the greatest common divisor of 55 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 1\/(-2))\/((-30)\/(-60)). Sort -11, -3, n in increasing order.\nAnswer: -11, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1736 - 1740. Which is smaller: b or 112.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + 2 + sqrt(171)\/sqrt(9))**2.\nAnswer: 2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 6*d - 5*d**2 + 4*d.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -853, -1898, -4729, -10240, -19325, -32878, -51793?\n\"Answer: -149*p**3 + p**2 - 5*p - 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k + 35726 = 35289 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjssgrsougg. Give prob of sequence jr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 13685 = 3*o. Suppose x - 6 = -3, 4*t + 5*x = o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + n + n**4 + (5*n - 3*n + 2*n)*(-4*n**3 + 4*n**3 + 2*n**3).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 59775*q**2 + 1074735*q - 4834485.\nAnswer: 5*(q - 11937)*(q - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -14. Let n = 16 - f. Solve n*l = 7*l - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v - 50. Determine k(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.3 and 329 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -11. Let n = d + 32. Solve -3*f + 3 = -n*f, v + 3*f + 5 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76741 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 6 (b) -13 (c) -0.01 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8*y + 9080 = 0. Let x be (-3 - -1)*y\/8. Suppose 4*q + 3*t - x = 0, 0*t = 4*q + 2*t - 222. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 6.6012179 rounded to 1 dp?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752)*1*-6*-4)\/((sqrt(1100) + 4*sqrt(1100)*-2 + sqrt(1100))*-1).\nAnswer: 24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3083149\/184 + -67023\/4. Find the common denominator of -85\/32 and o.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 539 + -538.9761. Round z to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 + 230*a**2 - 4*a + 8. Let o(g) = -4*g**3 - 460*g**2 + 9*g - 18. Calculate -4*o(b) - 9*p(b).\nAnswer: -2*b**3 - 230*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323748417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - u**2 + 6*u**2)*(19*u**2 + 7*u**2 - 4*u**2 + (0 + 1 + 0)*(1 - 1 - 2*u**2)) + (5*u - 3*u - u)*(2*u - 2*u - 2*u**3).\nAnswer: 38*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3600\/(-1728))\/((-5)\/(-8))*6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -64219 take away 271?\nAnswer: -64490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 14. Which is the third biggest value? (a) -2\/15 (b) -2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/22)\/(((-121)\/264)\/11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2794*h**2 - 5715. Let x(c) = -c**2 - 9. Determine -m(l) + 635*x(l).\nAnswer: 2159*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6005706 is divided by 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141.28 - -0.28. Let h = 145 + b. Sort 1, 3\/2, -0.5, h in increasing order.\nAnswer: -0.5, 1, 3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 1 + 9. Suppose 0 = 5*t - 5*z + 5, t + 5 = u*z + z. What is the units digit of 231\/4 + 2\/8*t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**4 + 0*s**4 - 5*s - 7*s**4 wrt s.\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*z)*(7 - 2 - 3) + 5*z + 3*z - 5*z + z - 3*z + z)*(10 - 8 + 24)*(-3 + 0 + 1).\nAnswer: 104*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -52, -5, -4 in ascending order.\nAnswer: -52, -5, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35492 minus 15411229?\nAnswer: -15375737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 271814421 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02665104 take away 12842?\nAnswer: -12842.02665104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3149 and -54?\nAnswer: -170046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65333 less than 587986\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -17*s**2 + 320*s + 56838. What is g(68)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17470 and 0.5?\nAnswer: -8735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/15 (b) 3 (c) 4\/5 (d) 2 (e) -11\/8449\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 9 = 9. Let n(j) = j**3 + 9*j**2 + j + 12. Let x be n(g). Let y be (-2 - 10\/(-4))*-8. Sort -2, x, y in descending order.\nAnswer: x, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4 - k + 1 + 0. Let j be d(-3). Suppose j*x = 4*x - 12. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 3, z: 2, x: 1, w: 6}. Give prob of sequence wo.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbg when four letters picked without replacement from {g: 6, b: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19440677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -3 + 6)*2. Suppose p*y = -y. What are the prime factors of (y - -13 - -2) + 0?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/1)\/(4 - (-27117)\/(-6779)). Round g to the nearest 100.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28688 and 7987?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*l**2 - 4*l**6 + 48*l**6 + 62*l**6 + l + 50*l**6 - 3*l wrt l?\nAnswer: 18720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113513*o - 1152 = -113561*o for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2398\/5 + 469. Calculate the common denominator of -81\/10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - 6*(-5 + 4). Solve -3*h = b*o, -2*h = -4*o + 3*h + 32 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (0 - -2))*1. Suppose 5*r + 23 = 4*r + 5*n, -3*r + 31 = 5*n. Solve -5*x - 27 + i = -r*v, 0 = -4*v - 2*x - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*3\/6*2. Let o = -7 - v. Sort 1, -3, o in decreasing order.\nAnswer: 1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 16\/12)*-4. Suppose 2*v + 2*g = 57 - 9, -3*v - 2*g + 73 = 0. Suppose 10 = 3*h - 2*a, 0 = -4*h + 5*h - 5*a - v. Which is greater: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 718258*t + 2712426.\nAnswer: 718258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*z**2 + 4*z**3 - 10*z**3 - 4*z**6 + 6*z**3 wrt z.\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t - 557293 + 520330 - 935587 = 0. List the prime factors of t.\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 2*b - 1. Let t be x(-5). Suppose 0*m = -5*m + 95. Suppose j = c + m, -3*j + 4*c + c = -t. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -46*f**2 - 15*f + 64. Let d(c) = 183*c**2 + 60*c - 255. Let j(k) = -2*d(k) - 9*w(k). Is j(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 0.03 (c) 10 (d) 1 (e) -3 (f) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 3, -272, -2 in increasing order.\nAnswer: -272, -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 22*q - t + 68 = 0, 13 = 9*q + t + 2 - 37 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/(n*n\/n**0)*n*n)\/(n*n*n**(-2\/11)*n))**(-10))**(-45))**(3\/17) assuming n is positive.\nAnswer: n**(-12150\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1131 - 102.307\nAnswer: 1028.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a**2 - 1. Let o be x(1). Suppose -o = 4*t - 2*t - 5*d, -2*t - 5 = -3*d. Solve -t + 8 = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 11*l - 8. Let u be f(10). Calculate the common denominator of -79\/22 and 750\/(-40)*u\/(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407167409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(77) - (sqrt(77) + 3*sqrt(77)))*-3)\/sqrt(11) + (-3 + sqrt(56)\/sqrt(8))*-3.\nAnswer: 4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysssyeysseeys. What is prob of picking 1 s and 1 y?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*n, 4*p - n + 0 = 4. Suppose -4*m - 5*u = -9, -m - 3*u + 0 = -4. Which is smaller: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167*q**2 + 167*q**2 + 8*q**3 + (-2*q + 1 - 1)*(0 + 0 + q**2))*(0 + 2*q + 0).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58\/15 - 67\/15. What is the fourth biggest value in 1, c, 7, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 40*k**4 - 3323060*k**3 - 129630555*k**2\/2 + 33030710*k - 4154800 = 0.\nAnswer: -20, 1\/4, 83096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 270615.\nAnswer: 2435535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1381, 1376, 1371, 1366, 1361, 1356?\n\"Answer: -5*q + 1386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*2\/32)\/((-9)\/6). Let t(j) be the third derivative of 5*j**2 + 1\/120*j**5 + 0*j**3 - s*j**4 + 0*j + 0. Factor t(q).\nAnswer: q*(q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-38)\/30)\/(8732\/111 - 82).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0317 - 0.0317. What is the smallest value in 0.2, -5, k, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*y + 0 + 99*y - 46*y + 58*y - 2.\nAnswer: 147*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oouogogouogggguguuo. What is prob of picking 2 o, 1 g, and 1 u?\nAnswer: 245\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -68, -61, -52, -41?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1427 + -350. Suppose -18*x + l = -2901. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 4. Let a(t) = -t**2 - 50. Let z(o) = -3*o**2 - 120. Let q(r) = 12*a(r) - 5*z(r). Calculate q(x(f)).\nAnswer: 27*f**2 + 72*f + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95\/264 + -7\/22. Let a(x) be the third derivative of 0*x - 1\/180*x**5 - 2*x**2 + 0 + j*x**4 - 1\/9*x**3. Solve a(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 8*z**2 - 7. Let m be k(8). Let h be -2*(20\/21 + 2\/m). Which is the third smallest value? (a) 0.2 (b) h (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from rcyrddrpnnncdcccr.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + j + 3*j)*(3 - 4 + 2).\nAnswer: 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13554 (base 6) to base 13.\nAnswer: ca0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2337.\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 w when three letters picked without replacement from {y: 7, h: 3, w: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:03 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**4 + 32*p**2 - 32*p**2 + 2*p)*(-1 + 2 + 2) - p**4 + 0*p**4 + 2*p**4.\nAnswer: 13*p**4 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -576*c**2 - 2 - 1065*c**2 + 7225*c**2 + 0 - 8*c. Let z be s(6). What is z rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3166 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q + 16. Let d be a(-8). Let l = d + -84. What is the least common multiple of l and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18.1 or -4\/195?\nAnswer: -4\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 + -145. Suppose -2*q = 3*q - 20, -26 = -m - 5*q. What is the remainder when p is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 - -78. Solve 3*v = 4*d - 20, -5*v = g*d - 31 + 11 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5369899641.0000113 - -5369899906. Let v = -458 + 193. Let l = v + g. Round l to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-3))\/((-14)\/357). Do -17 and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35116255 is divided by 933.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 2 - 8 + 7 + 0 + 0*v.\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-714)\/(-357)*(1*(-1)\/3)\/((-48)\/2736)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*1*-5 + (0 + sqrt(68))*2 + (-2*(sqrt(68) + -5 + sqrt(68) + -1 + sqrt(68)))**2.\nAnswer: -294*sqrt(17) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004348573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 21*f. What is q(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -184, -391, -600, -811, -1024?\n\"Answer: -m**2 - 204*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 9. Let w be c(6). Suppose -o = -2*h + 2, -o + 3*o + 5*h = 23. Suppose 0*v - 3*v = 0. Solve 4*x = -4*p + 16, -w*p + o*x = -v*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2830 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - (-39)\/6)\/((-3)\/(-6)). Let w(l) = l**2 + l - 1. Let b(s) = 5*s**2 + 4*s - 3. Give g*b(o) - 3*w(o).\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -16. Differentiate 19*r - g*r - 13*r + 2 + r**2 wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1607411*0.5.\nAnswer: 803705.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 19. Let g = 36 - 31. Solve i - 5*j = -2*i - g, f = i + 4*j + 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -270.8 to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122612*g**2*h**2 - 769*g**2*h + 14*h wrt h?\nAnswer: 245224*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -67198063 - -0.5\nAnswer: -67198062.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 0 + 1\/6*p**3 + 36*p + 1\/2*p**2. Calculate u(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - -34. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4353aa (base 11) to base 15\nAnswer: db010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**3\/6 - 2*p**2 + 2*p. Let m be n(10). Suppose 0 = 3*d - 0*d + 3*y - 27, d = -4*y + m. Solve 0*i = -2*i + d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -4*j**2 + 4 + 0 - 3*j - 2. Is h(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -17*v**3 + 181*v**2 - 134*v + 97. Calculate l(10).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 != -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*p + p - 4*n, 3*n = p - 15. Let i be (4 - p - 6\/(-4))*-8. Suppose -2*k + 10 + i = 0. What is the lowest common multiple of k and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 5838 - 5859 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-228)\/11628*(-24)\/(-1). Which is the closest to 0.1? (a) 3 (b) t (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -808 - -437. Let x = 379 + u. Solve 0 = -0*s + 2*s + x, 5*c = 2*s - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 4*s**5 + 0*s**2)*(3 + 2 - 4).\nAnswer: -4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9505, -19054, -28643, -38272, -47941, -57650, -67399?\n\"Answer: -20*z**2 - 9489*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -411 + 413. Find the second derivative of -32 - 44*k + 48 + 45*k + 122*k**t wrt k.\nAnswer: 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15155975 is divided by 23425?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*o - 3\/2*o**2 + 0 + 3\/4*o**3.\nAnswer: 3*o*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295496268 divided by -4.\nAnswer: -73874067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10*(-2)\/(-5))\/4)\/(2\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -4 + 9\/3. Suppose -b*x + 2 = -x. Solve -6*s + x*s = -8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-76)\/156 + 0 + 8\/52)*-2. What is the third biggest value in -5, i, 3\/7, 43?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 455?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {v: 4, k: 5, r: 1, f: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20*((-135)\/10)\/(-3). Suppose 0 = -b - 4*b + p. Let u = -4 + 20. What is the smallest common multiple of b and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**5 - 235016*v**4 + 6*v - 105 wrt v?\nAnswer: 40*v**3 - 2820192*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) -1 (b) 0.243 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a factor of 38159086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*t + 7*t. Suppose -5*s + 25 = 3*q, 0*s - q + 7 = s. Let o = t - s. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 3. Let p(x) = 2*x + 2. Let y(w) = 2*d(w) + 3*p(w). Let i(u) be the first derivative of u**3\/3 + 1. What is i(y(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.14669248 rounded to two dps?\nAnswer: 2.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1067 divide 455883219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2030302204 (base 5) to base 11.\nAnswer: -2385204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1741 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 6 = -9*r. Suppose 0 = -7*i - 3 + 80. Suppose -2*j + i = h, -4*j + 12 = h + 3*h. Solve r*l + 10 = 3*a - j*a, 2*l = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/182 and -83\/154.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1, 809, 1091, 4, 5 in descending order.\nAnswer: 1091, 809, 5, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from eeeeeeccceeeceeeeec.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/38376 and -149\/312.\nAnswer: 38376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 152*u - 3. Let c be k(1). What is the first derivative of 53 + 53 + 51 - 6 + c*a wrt a?\nAnswer: 149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3 + 2*h**3 + 17*h**4 - 2*h**3 - 25*h**4 = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742.73 rounded to the nearest ten?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20428\/53 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 40*l**2 + 224*l - 384.\nAnswer: 2*(l - 12)*(l - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26608.\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 1142, 4435, 11034, 22043, 38566?\nAnswer: 61707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 317*z + 491. Let h(x) = -310*x - 492. Let u(r) = -3*h(r) - 2*o(r). Differentiate u(m) wrt m.\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngnnzngnnggggncgcggg. Give prob of sequence cnzn.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 38) + 15 + (-33 - 1) - -4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**4 + 4*x**4 - 29*x**4)*(x - 4*x + x)*(99 + 76 + 37).\nAnswer: 8904*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689?\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10907*c = -8603*c + 147456 for c.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 - 15*d)*(5 - 3 + 2).\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 155 = 45*a - 91*a - 412 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 177 = 5*u - 69, -2*s = -4*u - 164. Suppose 5*q = 43 + s. What is the remainder when 122 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -10*b**2 - 23*b - 3. Let u be l(-2). Let x(a) = -4*a**2 + 2*a + 3. Let i(o) = -2*o**2 + o + 1. Let t(z) = 5*i(z) - 2*x(z). Determine t(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfstfffsffq. What is prob of picking 2 s and 2 q?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + (-16375)\/100)*-4 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 4*h**3 - h**3)*(-2*h - 2*h + 2*h) + 150*h**3 + 285*h**3 + 0*h**4 + 401*h**3 - 2*h**4.\nAnswer: 2*h**4 + 836*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -1 + 3)*-1 - (5*-1*sqrt(132) + sqrt(132))\/sqrt(12))**2 + -3.\nAnswer: -12*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 26085.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 1:17 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.069127*10.2\nAnswer: -0.7050954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 1. Let d(n) = 3*n - 12. Let z(o) = -16*o + 66. Let s(k) = 11*d(k) + 2*z(k). What is 3*m(l) + s(l)?\nAnswer: 4*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:01 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-4)\/22 + 24\/132. Do b and -9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 1. Let x(m) = 7*m - 9. Let g(q) = -4*f(q) - 2*x(q). Calculate g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15696 = -5*z + 2*q - 15744, 0 = -4*z + 2*q - 40 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44.2633697 * -4.\nAnswer: 177.0534788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70080 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2\/7 (b) 1.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 4:54 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 144134701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7260.59277 and -2.8.\nAnswer: 7257.79277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 74, 70, 64, 56, 46, 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.1 (c) -2\/501 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 0. Suppose -h*w - w = -44. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g. Let a(n) = 10*n**2 + 3*n - 1. Let r(y) = 439*y**2 - 12*y + 4. Let l(i) = 20*a(i) + 5*r(i). Give l(h(x)).\nAnswer: 9580*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 15*j**2 - 43*j - 10. Let n be l(-10). Let i = n - -88. Calculate the lowest common multiple of i and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17137 is divided by 8543?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 5:26 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - r - 12. Let f be p(5). What is the first derivative of -4 + 5 + f*y + 3*y - y wrt y?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxxdxlnel.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c\/(c\/(c**3*c*c)))*c*c*c*c**7)\/((c*c**5)\/(c**(-2\/3)*c*c*c)))\/((c*c\/(c*c**(-1)\/c)*c)**(-20)*c*c**(1\/9)*c*c**1\/c) assuming c is positive.\nAnswer: c**(722\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33975?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-6 - 8)) + (-2 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by ((-1 - 2)*1\/(-3))\/(134\/24254).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 19, 5.\nAnswer: -4, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*53\/((-3657)\/(-736))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from xgtaetaattttettaaeng.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24646 = -o - 3*l, 2*l + 49300 = -39*o + 41*o. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2880983?\nAnswer: 7, 411569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4.3 (b) 0.5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**4 - 1068825*o**2 - 4076178*o wrt o?\nAnswer: -24*o**2 - 2137650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 5*f**2 - 9*f + 21. Give m(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.017+-88497932.55744\nAnswer: -88497932.57444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.006973 * 2.\nAnswer: -0.013946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249395 a multiple of 1533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1323*g**3 + 633*g**3 + 678*g**3.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14172834.\nAnswer: 2, 3, 13, 109, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*t - 24 = 0, 3*t = 3*p - 0*t + 12. Sort 3, -5, p, 4 in increasing order.\nAnswer: p, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 327 * 37.02.\nAnswer: 12105.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -429482267*k**2 - 41017333*k + 1?\nAnswer: -858964534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 10370*h**2 - 58*h. Let a(k) = 23*k**2. What is u(a(o))?\nAnswer: 5485730*o**4 - 1334*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**6\/60 + n**5\/10 - n**4\/12 - n**3 - 14*n**2. Factor a(r).\nAnswer: 2*(r - 1)*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38002159241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**3 - 969*c**4 + 968*c**4 - 33 - 192 in the form p*c**4 + g*c**2 + b + v*c + l*c**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193667182 to the nearest integer?\nAnswer: 13916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7812980897 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -8485, -0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 6:16 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-3) - (-5)\/15. Let f = q - -3. Let l(d) = d**3 + 5*d**2 + d + 4. Let w be l(-5). Is f not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:04 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 26 - 24)*(-4*b**5 + 4466*b**2 - 4467*b**2 + 3*b**5).\nAnswer: 37*b**5 + 37*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -277*s + 69*s - 64*s - 68*s + (-3 + 0 + 2)*(0*s + s + s) in the form y*s + v and give y.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7412?\nAnswer: 2, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7469858*a - 98 = -7469861*a - 46*i, -3*i = 3*a - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1295 + 909 - 1287 - h)*(-4 + 4 - 2*h).\nAnswer: 2*h**2 + 3346*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*i - 5 - 18, -4*y + 8 = -2*i. Let r(f) = -197*f - 68. Let m(n) = 786*n + 270. Let p(x) = i*m(x) + 9*r(x). Differentiate p(a) with respect to a.\nAnswer: -201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18606 divided by -117\nAnswer: 6202\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**2 + 28 + 140 + 70*i + 32 wrt i?\nAnswer: 2*i + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5 = 5*z, 21 = -10*y + 5*y - z. Let n = 40 + -43. What is the nearest to -0.1 in -1, n, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/50 and -17\/843368.\nAnswer: 21084200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microsecond in nanoseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 2\/(-4))*2. Suppose -2 = 2*p - y*p. Suppose 5*n + 4*v - 24 = 21, 0 = 2*v. What is the smallest common multiple of n and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8b02e - 1c?\nAnswer: 8b012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*y**3 + 61*y**3 - 77*y**3 + 18*y**3 + 9*y**3 + 11*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 33. Let a = 29\/3 - h. Factor -a*j - 1\/6*j**2 + 5\/6.\nAnswer: -(j - 1)*(j + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503892 is divided by 71794?\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -3)*(-3 + 2). Solve -2*o + 8 = -0*u + 2*u, 5*u + 4*o - 20 = s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34907 + 35256. What is the least common multiple of 8 and j?\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104546716.2 rounded to the nearest ten thousand?\nAnswer: 104550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2*l**2 - 2 + l)*(6*l - 9*l - 11*l).\nAnswer: 28*l**3 - 14*l**2 + 42*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4) + 10\/(-8). Let u(x) be the second derivative of -k*x**4 + 0 + 0*x**2 - 2*x + 0*x**3. Let d(o) = -2*o**2. What is d(u(n))?\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -18.7749435.\nAnswer: -18.4749435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6646 is divided by 128.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**4\/6 - 5*r**2. Let a(y) = y**2. Calculate g(a(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5533284 is divided by 109.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5072 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a + 11. Let t be (-3)\/(-3) - (5 + 1). Let f be p(t). Let z(o) = 5*o**2 - 1. Calculate the remainder when z(f) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15920594.74 rounded to the nearest 100?\nAnswer: -15920600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x - 41*x = -36 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134 + 259. What is the remainder when f is divided by (-12)\/(-8)*(-192)\/(-9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 5558?\nAnswer: -5553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 4*n + 0*n in the form a*n + b and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21752 - 21736. Solve 17*c + 5 = s*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216054.\nAnswer: 2, 3, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Factor 11*r + 54 - 2*r**5 + 22*r**g + 180*r**2 - 92*r**3 - 88*r - 85*r.\nAnswer: -2*(r - 3)**3*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(-1\/47)*(n**(1\/2)*n)**(-49) assuming n is positive.\nAnswer: n**(-48367\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 + 94. Suppose 22 = m + 2. Calculate the smallest common multiple of h and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -12*r**2 + 3. Determine o(2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 5*p + 33. Let l = p + 31. Let o(s) = -4*s + l + 5*s + s. Let i(m) = 2*m + 3. Give -3*i(j) + 2*o(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/(8040\/9380)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/60833200 and -17\/76041500?\nAnswer: 304166000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.08469, -247?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 12*w - 24. Let p be z(14). Suppose 2*t - 2 = p*k, -k - 5 = -5*t + 3*t. Is 1574\/(k + 1 + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 4*z**2 - z - 1. Let k be c(3). Suppose 3 - 18 = -k*r. Calculate the remainder when 8 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -1, 2\/59, -4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 take away -200592413530?\nAnswer: 200592413530.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002435459063 rounded to 5 dps?\nAnswer: 0.00244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h + 142. Let s = 1492 - 1455. What is the remainder when h is divided by s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.75 - 0.7. Let w = 4.4 - 4. Let l = -0.058 - 0.142. What is the second biggest value in l, w, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 50*o + 288. Determine a(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrz when three letters picked without replacement from {z: 2, r: 4, c: 3}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -124\/7 greater than or equal to 110\/3359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-50)\/(-40))\/(570\/(-18)))\/((-6)\/4).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 9 = 2*t - 226, 0 = -t + 5*h + 146. Let d = -82 + t. Calculate the remainder when d is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 120305, 120314, 120329, 120350, 120377?\n\"Answer: 3*t**2 + 120302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/6)\/2)\/(339\/7119)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 17*s**4\/4 - 7*s**3\/6 - 28*s**2 - 94*s. What is the tens digit of b(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10970 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2\/8 + 141*s\/8 = 0. Calculate s.\nAnswer: -47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11023323 (base 4) in base 12?\nAnswer: -10363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907267747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271637690?\nAnswer: 2, 5, 107, 253867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.48 + 1.872. Let a = w + -0.092. Let i = 5 - 4.6. What is the third biggest value in a, i, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n - 2. Let x(l) = -2*l - 1. Let m(o) = b(o) - 2*x(o). Let p = 1224 - 1225. Let t(k) = 10*k**2 + 3*k. What is p*t(f) - 3*m(f)?\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 z, and 2 v when four letters picked without replacement from yyyzzyyzyvzyyzyvyynm.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 406298.4 + -406299.4818898. Let h = -0.97289061 - l. Let w = -0.109 + h. What is w rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.8 (b) 2 (c) 5 (d) -1\/3 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/817 (b) -1 (c) -2.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3 - -3) + (0 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 382359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-24))**31\/((r*r**(-8))\/(r**0*r)) assuming r is positive.\nAnswer: r**(-736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y\/(y*y\/(y**3\/y)*y*y))\/y)*y\/(y\/(y**(1\/8)*y)*y)*y)\/(y**(1\/5)\/y**7) assuming y is positive.\nAnswer: y**(397\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2152 and 3228.\nAnswer: 6456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**2*y**3 + 8595499*a**2*y*z + 67*a**2*y + 486*a**2 + 13*a*y**3*z - 2*a*y**2 - 5*a*y - 29*y**2 wrt z?\nAnswer: 8595499*a**2*y + 13*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.384 - -0.064. Let u = n + 2. Let x = 7.1 - 7.3. What is the smallest value in x, u, 2\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 - 3)*(-4*h**5 - 5*h**5 - h**5) + 9*h**5 - 27*h**5 + 26*h**5.\nAnswer: -52*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(390\/(-130) - (0 + -1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603207407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50\/19 + -588\/209. Sort o, 0.1, 2 in decreasing order.\nAnswer: 2, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1))**3)**(2\/93)\/(d**(-2\/7)*(d\/d**(-1\/4))\/d)**41 assuming d is positive.\nAnswer: d**(41\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 19*m. Let t(b) = 3*b + 2. What is y(t(s))?\nAnswer: 57*s + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*p**3 - 172*p**3 - 171*p**3 - 177*p**3 + 704*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -1.4 (b) 22 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*w + 41, 1 = y + 2*w + 8. What is the common denominator of y and (3\/(-2))\/((-42)\/(-108))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/f**(-18))\/f)\/(f*(f*f*(f\/(f*(f\/((f\/f**(-3))\/f*f*f*f)*f)\/f)*f*f*f)\/f)\/f*f))\/(f**(7\/3)\/f**0) assuming f is positive.\nAnswer: f**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22196678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + (4 - 7) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*o - 4*s = -167*o - 8, -2*s - 216 = -5*o. Suppose 3 = 3*v + 2*r - 10, -2*v - r = -9. What is the highest common divisor of v and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636 (base 8) to base 16.\nAnswer: 19e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -79*z + 1125. Let c be a(6). Calculate the greatest common divisor of 279 and c.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 113825477, 113825481, 113825487, 113825495, 113825505, 113825517?\n\"Answer: o**2 + o + 113825475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1367 + -1359. Solve 2*a + 2*a = -n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -111, -223, -337, -453?\n\"Answer: -b**2 - 109*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2623.\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (6 - 6 - (10 - 13))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 4:17 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*l - 234*l = 1378*l - 74088 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -409, -605, -797, -985?\nAnswer: -1169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from {o: 2, b: 4, e: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w - 3. Let k(d) = 11*d - 8. Let o(a) = 8*j(a) - 3*k(a). Calculate o(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*s + 0 + 0 + 14*s + 238*s - 16*s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 9. Let q(s) = s**2 + 11*s. Let n be q(-11). Suppose n = -z + 3 + 4. Calculate r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -57, 8255.\nAnswer: -57, 2, 8255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -8) + 3 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54163568*s**3 - 2*s**2 - 16323150*s - 1.\nAnswer: -324981408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3270145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (11 - 11 - -9 - -10)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*u = 470 + 136 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a**2 + 6*a. Let c(z) be the third derivative of 2*z**5\/15 - 7*z**4\/24 + 2*z**2. Suppose 3*u - 4*h + 25 = 0, 2 - 6 = -4*h. What is u*m(j) - 6*c(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 5*v**2 + 2*v - 1. Suppose 2*o - 10 = -5*f, 0 = 5*o + f - 6 - 19. Suppose 2*p + o*k = -3, 2*p - 5*p - 17 = -5*k. Determine g(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 + -56. What is the remainder when v is divided by (3\/(-2))\/((-27)\/180)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30121 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*a + 2*a**2 - 17*a)*(-1 + 7 - 2 + 10).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/2)\/(d\/d**0))**(-28))**(-1\/2))**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 827 - -314. Suppose -10*w + m = -129. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 52. Give j(11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 * 0.03959.\nAnswer: -0.0055426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.8 + 4. Let l = 0.034 + 4.166. Let r = 4.6 - l. Which is smaller: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 8. Let l be h(6). Let a(w) = w**3. Let k(m) = -10*m**3 + m - 1. Give l*k(u) - 18*a(u).\nAnswer: 2*u**3 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/42175 and 59\/1687?\nAnswer: 42175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 383.9 and 4.8.\nAnswer: 388.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443868532 to the power of 1\/4, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6958597 or 6958496?\nAnswer: 6958496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -96, -145, -194, -243, -292?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 26. Let w = g + 5.5. Which is the closest to -0.2? (a) -1 (b) -1\/8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19157154 a multiple of 2361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 29143131?\nAnswer: 262288179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27197 - -35279. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 7.2. Let r = -9 + 10.2. Let x = -1.2 + r. Is x bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12698 divided by 1\nAnswer: 12698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*v = -v - 2, 4*v - 4 = -5*s. Put s, 0.4, 4\/5 in decreasing order.\nAnswer: 4\/5, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402628065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-3 + 13)\/(-2). Suppose x + m = 3*x. Solve o + 25 = 5*u + 8, 4*o = -x*u - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 3, u: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 15299*o + 4866550.\nAnswer: (o + 325)*(o + 14974)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/4 + -3)\/3. Solve n = 2*j - 1 - d, 5*j - 4*n = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -204273?\nAnswer: 14299.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 44412995759 and -1.148?\nAnswer: 44412995760.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/40 - (-27)\/5. Let o(k) be the first derivative of -2*k**2 + t + 0*k**2 + 78*k**3 - 76*k**3. Factor o(s).\nAnswer: 2*s*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 9*i**2 - 5*i - 2. Let m be k(-9). Let q = m + -30. Let y = 116 - 64. Calculate the greatest common factor of y and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 7684*m - 29521928.\nAnswer: -(m - 7684)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12499 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1034.17 micrograms to milligrams.\nAnswer: 1.03417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2633 is divided by 2613.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66378 by -6.\nAnswer: 11063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-798*l - 821*l + 1649*l + 1)*(25*l + 107 - 107) to the form m*l**2 + t*l + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -1212230123122?\nAnswer: -1212230123110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77115\/47998 - -152\/103. Let t = -10309\/4 + 2597. Calculate the common denominator of t and r.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128 * 0.007571.\nAnswer: 0.969088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.284.\nAnswer: -1.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.3 + 6.7. Let s = l + -48. Let y = s + 21.0000058. Round y to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -46 (b) 0.5 (c) -1\/8263 (d) -5\/3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 + 2.1. Which is the second smallest value? (a) -4\/5 (b) o (c) -6 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 - k - 1. Give i(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 1021410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one fifth of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from {r: 5, u: 1, d: 1, s: 4, m: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -3, -1, 4, -34 in increasing order.\nAnswer: -34, -5, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 5 + (3\/(-3) - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 10*h**2 + 7*h - 30. Suppose -r = -3*i + 130, -10*i = -5*i + r - 206. Suppose 5*x = 11*x + i. List the prime factors of n(x).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2 + 7*s + 7. Let i be h(-5). Let z = i - 40. Suppose 0 = -5*n + n + z. Calculate the lowest common multiple of 3 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) + 243\/45. Suppose s - 6*f - n = -8*f, 4*f - 15 = -3*s. Solve s*c = -5 + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/2 (c) -232\/89 (d) 5 (e) 1 (f) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) -2\/13 (c) 0.8 (d) -0.2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t + 4 = 0, -3*r - 3*t + 984 = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8211.\nAnswer: 3, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + g = -11, 0 = -4*l + 89*g - 87*g + 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (19\/4 + 0)*20 + 4. Let r = -91 + q. What is the highest common factor of 28 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5*i**0)\/((i\/(i*i*i*i*i\/i**(-2)*i))\/i)**(1\/25) assuming i is positive.\nAnswer: i**(133\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4, 2\/3, -2\/13, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7247 - 3636. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.68 + -15. Let g = 0.67999933 - i. What is g rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1124.015638 + 1124. What is q rounded to 4 dps?\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 + 3 - -2 - (-2 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(5\/4)*o)\/o)\/(o*o*(o*o\/(o*(o**(-1\/8)\/o*o*o)\/o*o)*o*o)\/o*o*o*o))**(-19\/4)*(((o\/(o**4\/o))\/o)\/(o\/o**(4\/5)))**8 assuming o is positive.\nAnswer: o**(-391\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m. Let i(z) = 2*z + 5. Calculate i(q) + 4*t(q).\nAnswer: 6*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 134 - -33?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46550.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g**2 + 4*g**2 + g**2)*(6*g - 5*g - 4*g)*(233 - 23 + 3) + 5*g**3 - g**3 - 3*g**3 to q*g**3 + s*g + p*g**2 + n and give q.\nAnswer: -1277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -16 - (-3 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 153, 323, 493?\n\"Answer: 170*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3861*j**2*z - 1809226*j**2 + 43*j + 21734*z wrt z.\nAnswer: -3861*j**2 + 21734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 3*r - 3. Let k be j(2). Let n be 1\/(3 + k\/2). What is the greatest common divisor of 3 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 3*d + 97. Let i(m) = m**2 - 3*m - 82. Calculate -5*i(n) - 6*l(n).\nAnswer: n**2 - 3*n - 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from inilcymmicymy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/24)\/(((-4)\/(-2))\/7836).\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183*11797.\nAnswer: 2158851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16741?\nAnswer: 16741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, u: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -19142*(-5)\/50*5 + 12\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 313 = 304 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (6 - 8) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4 + 106*d**3 - 1857*d**2 - 31000*d - 87248 = 0?\nAnswer: -7, -4, 41, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.22 - -3.78. Let h be (-4)\/26 + (-46550)\/(-234). Let v = 199 - h. Which is the nearest to 1\/2? (a) w (b) -1\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 2346*t**2 - 917286*t - 119552942.\nAnswer: -2*(t + 391)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1313 - -838. Let k = 483 + p. Solve k = -52*z + 56*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*r - 5*r - 3*r + 4*r**2 - 20*r to b + n*r**2 + i*r and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 3\/2 (c) 2\/11 (d) -46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92056*w - 92117*w + 3359 = -728 for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 59?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 111710.2 plus 104?\nAnswer: 111814.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 25*c + 855. Let i be z(-34). Suppose 0 = -0*x + 3*x - 66. Solve 3*o - 5 = 5*k, -x - 3 = -i*k - 3*o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.280389nm to kilometers.\nAnswer: 0.000000000005280389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-1056)*-20*504\/405*3.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**4\/2 + 5*q + 6. Find the first derivative of h(m) wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, o: 3, w: 1}. Give prob of sequence ofo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(1*sqrt(144)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*u + 31, -3 = 4*j + u - 232. Suppose 78 = -34*w + 37*w. Let d = j - w. Is d a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209754117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 460489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4\/5 + 70194*u**3\/5 - 1641977832*u**2\/5 + 2557979498720*u + 230750565178752\/5 = 0.\nAnswer: -18, 23404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5.5, -14749 in decreasing order.\nAnswer: 5.5, 0.1, -14749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - y + 27. Is g(0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.6 + 8. Which is the smallest value? (a) -0.5 (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16528 - -9?\nAnswer: -1651d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 33. Give b(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3477124\/19 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-2 + -1)*1. Let h be (-3)\/(-6)*4 - o. Let i(a) = -a**3 - a**2 + 9. What is the units digit of i(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 167251491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6688316, -6688317, -6688318, -6688319?\nAnswer: -6688320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p + 5*t + 22795016 = 0, -2*t = 5*p - 113974972. Let x = p - 40594996. Round x to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 390 divided by 6\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 468\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*r - 1 = -2*r, 0 = -4*z - r + 11. Let l = 7 - 4. Solve x - l = z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2*c)*(c**3 + 0*c**3 + c**3) + (3459*c**2 - 2075*c**2 - 1688*c**2)*(1 + 3 - 1 - 4*c**2) to m*c**3 + f*c + h + k*c**4 + b*c**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-7)*(-11)\/22. Put -5, -2, m, 0.3 in decreasing order.\nAnswer: 0.3, m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2))**47*(l\/(l\/l**1))\/l*l*l\/(l*(l*l**(-8))\/l)*l)**(-1\/7) assuming l is positive.\nAnswer: l**(-67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 480, 508, 550, 612, 700?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**7\/189 - x**6\/27 + x**5\/15 + 2*x**4\/27 - 8*x**3\/27 - 29*x - 2. Find z, given that u(z) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34870912442581 + 0.47.\nAnswer: -34870912442580.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + a**3 + a**2 + 9*a**2 - 5*a**2 + 15 + 7*a**2. Let q be c(-12). Solve i = -q*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 101, -231.\nAnswer: -231, -3, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**3\/3 - 5*s**2 - 2*s. Let x be v(-8). Let w be 3 + (0 + -1)*-1. Solve -k + x = -w*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-92)*(-8)\/8*1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 4*h - h)*(2*h + 2*h - 6*h) + (30 + 12 - h - 55)*(3 - 2 + 1)*(h - 4 - h + h).\nAnswer: -6*h**2 - 18*h + 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/73 in 4, -2, 1\/40, 0.5?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*r**3 + 410*r**2 - 120*r.\nAnswer: 5*r*(r + 12)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 13 = -4*s - 2, -p = -s + 3. Suppose -2*a - 2*a + 2116 = 5*h, s = 5*h - 4*a - 2124. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157080 divided by -6.\nAnswer: -26180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 54*q + 7. Let b(g) = -15*g + 3. Let n(u) = 6*b(u) + 2*i(u). Calculate n(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/22 and 1452\/(-1890) - 1*(-4)\/8?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*i - 3, -2*z + 2*i - 7 = 17. Let w(l) be the first derivative of -l**4\/4 - 8*l**3\/3 - 7*l**2\/2 + 4*l - 46. Give w(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.448 - 3.47. Put -2\/3, -1, 2, b in decreasing order.\nAnswer: 2, b, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22669, 45254, 67637, 89716, 111389?\n\"Answer: -17*x**3 + x**2 + 22701*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p - 3*p)*(-1 - p - p**2 + 0*p**2 - 2).\nAnswer: 4*p**3 + 4*p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23)\/46*(-1 + -1). Let s(u) = -u + 10. Let d be s(7). Solve -a = d + l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 630 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45415 + -1?\nAnswer: 45414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.23.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z + 100 = 22 + 273 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.3 - 2.9. Let j = -0.37 + -0.03. Which is the nearest to -4? (a) i (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 27*c + 150. What is the thousands digit of r(32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-4)*(-84)\/(-119)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = -608 + 2368. Let b = z - 2990\/17. Solve -4\/17*j**3 - b*j**2 + 4\/17*j + 2\/17 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**5\/60 - 5*h**3\/6 - 5*h**2. Let c(n) be the first derivative of v(n). Calculate c(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 188 in -1\/6, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 517, 2038, 4555, 8062, 12553, 18022, 24463, 31870?\n\"Answer: -v**3 + 504*v**2 + 16*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22110110001 (base 3) to base 16.\nAnswer: -28a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 divided by 12?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2114703075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 + (-6796)\/108 - 2\/27) + 9?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 + 71. Suppose 3*n + 2*h - d = 0, -n - 2*h = -0*h - 4. Calculate the greatest common factor of n and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005481295 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23616 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 109\/6 - 4\/(-168)*-7. Solve -44*z = -38*z - k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (5 - 284\/2). Suppose -z + 131 = -2*p. Solve -k - 3*j = -4*j - p, 0 = k - 3*j - 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, f: 7}. Give prob of picking 2 f and 1 b.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {c: 12, v: 6}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54958, -110584, -166210, -221836?\nAnswer: -277462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -54. Which is the nearest to 0? (a) o (b) 0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224220 and 3774?\nAnswer: 3811740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(4\/(16\/30)). Suppose -3 + 0 = -3*y + 3*i, 3*y - 5*i - 5 = 0. What is the closest to a in -2, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -q + 2*z + 7, z = q + 8. Let w = 21.78 + -25.4. Let u = 0.38 - w. Which is the nearest to u? (a) 0.1 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (4 + 2*14\/(-4)). What is the second derivative of 1576*t**3 + 137*t**5 - 1576*t**v + 130*t wrt t?\nAnswer: 2740*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 + -371. Let j = k + 423. Let t = j + -86. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -3f0442e?\nAnswer: 3f04429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 7:05 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -57*m + 99. Calculate the remainder when v(-4) is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 12 = 28*w, -3*d - 32 = 8*w. Let v(f) = 3*f**2 + 0*f**2 + 22 - 2*f**2 - f. Determine v(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2) + -1 + 4. Let i be 7\/5*(-5)\/4. Let f = a + i. Which is bigger: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-3)*2\/((-40)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23888.219 and 5585?\nAnswer: 18303.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 8\/(-5))*5. Let z(q) be the first derivative of 0*q**3 + 0*q - 1\/2*q**2 - 2\/5*q**5 - a + 0*q**4. Find the second derivative of z(b) wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9189167.\nAnswer: 13, 23, 73, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6 + 304\/(-48)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = x + 2*n - 7*n, -x = -2*n + 2. Let m = 33 + -28. Suppose -3*j + 2*a + 5 = -m, -a = -4. Solve 4*w - 8 = -x*d + j*d, 3*d + 5*w = -6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l - 21 = 3*c, l = 0. Let g = 3 - c. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8298810492 to the power of 1\/3, to the nearest integer?\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81837286?\nAnswer: 2, 17, 141587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Put 34, -2, 5, 13, -34 in ascending order.\nAnswer: -34, -2, 5, 13, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 695960439?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 66*i + 180.\nAnswer: 2*(i + 3)*(i + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*u + 3225 = -362*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 6*f**2 + 3*f**2)*(2*f - 1 + 1)*(222493 - 433090 + 237781).\nAnswer: 54368*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1708, -5800, -9892, -13984?\n\"Answer: -4092*u + 2384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + (sqrt(13) - sqrt(117) - sqrt(13))) - (sqrt(1300) + 0 + 0)**2.\nAnswer: -1318 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 3. Let o be 1 + -2 + 2 - -3. Let u be b(o). Let t(r) = -4*r - 7. Does 8 divide t(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7*(-294)\/126.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*z + 6*z**4 + 3*z - 16*z + 2*z**2 - 20 + 5*z - 4*z to u*z**3 + r*z**4 + q*z + d*z**2 + p and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from brnbccfn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1394330.06 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25112533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kswholk. Give prob of picking 1 l, 1 o, and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*s - 99 = 981. Let c(m) be the second derivative of 0*m**3 - s*m + 9\/2*m**2 - 4\/5*m**5 + 0*m**4 + 0. Differentiate c(g) with respect to g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 3221 = 5*n, -5*c = -3*n - 403 - 826. Calculate the remainder when c is divided by 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.844827 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 8*c**2 - c + 7. Let x be s(8). Let a be (x - -2)\/((-9)\/81). Let d = a + 46\/5. What is the second biggest value in d, -3\/7, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/28))**44*(((q\/((q**(3\/11)*q)\/q))\/q)\/q)\/q**(-1))**(-9\/5) assuming q is positive.\nAnswer: q**(-180\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 193*z**2 - 14*z + 37. Let w be v(6). Calculate the highest common factor of 335 and w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/82015225 and 23\/6754195?\nAnswer: 574106575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -503 + 175 - 2*d + d**3 + 165 + 165 + 3*d**2. Suppose -6*r = -3*r + 9. Determine n(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 - -60 - (-8 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 7*h - 27. Let m be s(10). Solve -m*x + x - 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 818940 and 2544.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000764880682 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 4*c - 101, -2*y = -10*c - 17*c + 74 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**4\/3 - 102*d. Let a(g) = 5*g**2. What is a(h(c))?\nAnswer: 80*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/19)*u*u**0*u**(-6)*u*u\/(u*u**(-9)) assuming u is positive.\nAnswer: u**(93\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvv when three letters picked without replacement from vvvzvvvvvvvvvvvvvvv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + v = l + 233, -2*v + 312 = 4*l. Suppose 4*c = -5*z + l, -2*z - 2*z - 19 = -3*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 1297734?\nAnswer: 129773.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00837873 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 73*a - o + 6*o + 4*o - 929, 4*o + 8 = 2*o for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1458*l - 2730 = 1563*l for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1008)*-3.\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4652 or -442?\nAnswer: 4652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from {q: 5, g: 2, n: 1, h: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -560715 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2515412 to the power of 1\/2, to the nearest integer?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21880 = -572*z - 581*z + 59*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -32. Let a = v - -86. What is the units digit of a\/9 - 2\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1857349978 to the power of 1\/3, to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 + 1449 + 1029*c + 160 + 267 - 1029*c as x + v*c + i*c**2 and give x.\nAnswer: 1876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 - -121. Calculate the least common multiple of n and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h**2 + 17*h - 7. Let m be f(11). Suppose -4*g - m + 229 = 0. Round g to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 12:23 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2)\/c*c**(-3))**25 assuming c is positive.\nAnswer: c**(-175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 - 1069332281525*l**2 + 1069332281525*l**2.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45793387 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: In base 8, what is -4 - -3454?\nAnswer: 3450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*s**2 + 82 - 25 + 68.\nAnswer: -144*s**2 + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/94113 and 55\/3294?\nAnswer: 34445358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 19332*o**2 - 38661*o**2 + 2 - 11*o + 19330*o**2 + 4*o**4 - o**4 - o**3 as l*o**4 + d*o + u*o**2 + g + c*o**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*q - 27 + 63 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r + 3*n + 27, -13 = 3*r + 2*n - 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48, -97, -234, -501, -940?\n\"Answer: -7*w**3 - 2*w**2 + 6*w - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 5*b + 235, -12*y + 13*y - 2*b = 140. Calculate the smallest common multiple of 702 and y.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-6\/5)))\/w)**(1\/17) assuming w is positive.\nAnswer: w**(1\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/4 + -3 + 348\/8. Let f = 55 - w. Suppose 3*d + 3*t + 2*t - 371 = 0, -2*t = -8. Calculate the remainder when d is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 10:05 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1026)\/(-41553) + (-13126)\/162\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*r + 7810 - 11330 for r.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 779, -2, 15, -5, 4, 8, 1 in descending order.\nAnswer: 779, 15, 8, 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 286 + -284. Suppose -o*j - 390 + 1436 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - u**2 - u + 4. Let i be j(0). Let m = 14781 + -14778. Solve g + i*t - 5 = 0, g + t + t = m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 251 - 226.8. Let z = w - 24. What is the closest to z in 0.5, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2058376 (base 9) to base 5.\nAnswer: -240224311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 26\/89?\nAnswer: 26\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -8*(-2 + 0 + 0) and 592?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 122*f + 4465. What is b(-32)?\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 16*z + 1. Let v(t) = -3*t. Give 2*j(n) + 11*v(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -105*l**2 + 36*l**2 + 39*l**2 - 7*l + 7*l. Let t(p) = -218*p**2. Determine b(t(f)).\nAnswer: -1425720*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146078, -3, 52, 1 in ascending order.\nAnswer: -146078, -3, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/(-4) + (-3)\/((-15)\/468895) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 25. Suppose -2 = -4*c + o. Let r(j) = -j**2 + 4*j + 5. Let n be r(c). Which is smaller: -5\/8 or n?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 4*c + 45. What is the remainder when 28 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 27585271.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.6 to the nearest integer.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062864\/(-2013)*2\/16?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 6*b**2 - b + 36. What is a(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96740 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 - 9*y**3 - 3*y**3.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 860 + -756. Calculate the remainder when c is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 462447766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -428 + 549. Calculate the remainder when w is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -94?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, x: 2, u: 9}. Give prob of picking 2 u and 1 x.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48*(3*4\/18)\/(674\/337)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1468003.\nAnswer: 1063, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 32834695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s**(-6\/13)*s*s))\/s)\/(s*s\/((s*((s*(s\/s**(-1\/16))\/s)\/s)\/s)\/s)*s))**21 assuming s is positive.\nAnswer: s**(-19551\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 a, and 1 n when three letters picked without replacement from {m: 6, d: 4, n: 3, a: 1}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7792 - 151*q**3 - 3895 + 138*q**3 - 3897.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 5:56 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2170316 minus 0.2881?\nAnswer: -2170316.2881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 - 71. Let a = -137 + t. Let m = -647\/8 - a. Calculate the common denominator of 1\/5 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**3\/3 + 5*y**2 - 5*y - 13. Let x be h(-11). Suppose 6 = 3*g - 6. Solve 5*j = -x - g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Which is the closest to z? (a) 2\/7 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbbkbkkbkbkb. Give prob of picking 2 b and 2 k.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -69*g**3 - 26*g**2 + 688*g + 1486. What is i(-2)?\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -393079343*d**3 + 31565030*d**2 + 2*d wrt d?\nAnswer: -2358476058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1421 + 2622. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2131 + -3304?\nAnswer: -10440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, b: 6, d: 3}. What is prob of picking 1 b and 3 d?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0 = 9. Let j be -7 - (-29 - -7 - -4). Suppose -z = 2*d - 8, z - d - j = -4*d. Solve -21 = 3*o - o - 5*s, -z*o + w*s = 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 28 = -2. Is (-18)\/(-117) - 15221\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p - 347. Let x be j(39). What is the third smallest value in x, 2\/15, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-96)\/30)\/4)\/(-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z + 56. Let p be a(0). Suppose 4 = -p*h + 57*h. Let b be h\/(-5)*(-10)\/3*-9. Is -23 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 0 + 0*k - 3\/4*k**3 - 3\/4*k**4 - 1\/4*k**5 - 1\/4*k**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.804 + 24. Let b = 0.6 + 0. Let n = b + d. Round n to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41743.323 minutes to days.\nAnswer: 28.98841875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and (-9 + 1 - 11)*-62.\nAnswer: 7068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20540, -71 in increasing order.\nAnswer: -20540, -71, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 2*g - 1. Let y be i(3). Let d be 8\/10*(-10)\/y. Let -8*z**2 + d*z**4 + 4*z**4 + z**5 - 7*z - 2*z**3 - 4*z**4 - 2 = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/((-15)\/9) + -13. Suppose -2*c = 2*c - 3*b - 5, 6 = c + 4*b. Let a(z) = -2*z + 2*z - 5 + z**c + 5*z. Let f(j) = j - 1. Give g*f(w) + 2*a(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:45 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 15. Let k = b - -26. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 - (1 - (0 + -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*sqrt(44).\nAnswer: -6*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*u - 17 - 6, u + 15 = 3*q. Let f be -2 - u\/2 - 1. Suppose -5*w = x + 4, -w + f*w = x - 10. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 16. Suppose -2*y + 5*v + 0*v + 8 = 0, 6 = -4*y - v. Let a be (5 + 4)*y*1. Is r(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -882396 divided by 3474.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 390953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -257 - -261. Let d = -105 + 141. What is the third smallest value in i, d, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42693269 and 1063.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -9*q**4\/16 - 40*q**3 - 7125*q**2\/8 - 9375*q\/2 + 3994. Factor s(y).\nAnswer: -3*(y + 25)**2*(3*y + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 0, -45 = -11*d + 6*d + 5*l. Let v(g) = 62*g**2 + 1. Let s be v(1). What is the greatest common divisor of s and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -181897 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548068 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3 - 7. Let i(w) = w**3 + 4*w**2 + 4*w + 3. Let q be i(-2). Suppose -2*a + q = -a. Solve -3*l = -a*m - 6, -m = h*m + 5*l + 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**10\/420 + a**6\/60 - 7*a**3\/6 - 11*a. Let f(o) be the second derivative of h(o). Find the third derivative of f(r) wrt r.\nAnswer: 1440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 21 = 3*s - 59, 4*s - 3*n = 115. Suppose -s = -5*d + d. What is the remainder when 25 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 13414878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 26 - 6. Let h(k) = 6*k**3 - 2*k + 1. Let w be h(1). Suppose 2*f - 21 = -w*o, -f - 30 = -3*o - 13. Put -2, n, o in decreasing order.\nAnswer: o, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.086 + 0.686. Is k bigger than 1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 16) in base 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 13*u**2 + 26)*(-401 - 328 + 218) in the form x*u + f + z*u**2 and give z.\nAnswer: -6643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*l + 43*l + 2*l**3 + 45*l as s*l**3 + u*l**2 + j + g*l and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.163988 - 8821627.\nAnswer: -8821612.836012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) -8 (c) -5 (d) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123543 and 518.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 270244, 540459, 810674, 1080889, 1351104?\n\"Answer: 270215*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/288 and -169\/1140?\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5*s, -73*s + 70*s = -j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -2\/3, -1, -4\/3, 20\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.37*-0.3.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 53991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -2, 2, 34, -1, -553 in descending order.\nAnswer: 34, 2, -2\/13, -1, -2, -553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (5 + 2 + sqrt(153) + 3 + -1 + sqrt(153) + -2 + -1)**2).\nAnswer: -3918 - 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 17*a - 23 = 13*a, 5*a = -5*s + 45 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3822\/57967*(-7)\/3. What is the closest to -4 in 5, 13, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6581 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 14*h - 12. Let y(v) = 12*v - 13. Determine -5*w(i) + 6*y(i).\nAnswer: 2*i - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + s - s. Let i(u) = 6*u - 11. Let p(f) = f - 2. Let k(y) = 2*i(y) - 11*p(y). Determine k(n(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 231361*x + 77150*x + 77104*x + 77105*x.\nAnswer: -2*x - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xffifllrfflfixlffff. Give prob of sequence xlfx.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/174 and 109\/234.\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 25868360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7200000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 942\/54*9 - (-4 - 1). Calculate the greatest common factor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 575?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21339*p**2 + 3*p + p - 8*p.\nAnswer: 21339*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -178, -199, -220, -241, -262, -283?\n\"Answer: -21*j - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/70 and -48\/119?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5502 - 1605?\nAnswer: -10410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7140764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 2*s**2 - 2*s - 2. Let w(f) = -5*f**3 + 10*f**2 - 23*f - 6. What is 3*c(d) - w(d)?\nAnswer: 2*d**3 - 4*d**2 + 17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 63. Suppose -4*n - 3*w + 20 = -2*w, 2*w + 8 = 4*n. Let d = -7 - -7. Solve 5*i = -k + 17, -n*k + k + 4*i - v = d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -2002122?\nAnswer: -2002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44097.80773 + 44098. What is t rounded to 3 decimal places?\nAnswer: 0.192","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((22\/(-16) - -1)*-8 - 6) + 6. Solve 0 = -29*g + 30*g - 5*h - r, -4*h + 2 = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a + 30 = 0. Let j(n) = 2*n + 36. Let o be j(-17). What is the highest common divisor of o and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*o = 104, -22*h - 4*o = -18*h - 344. What is the remainder when h is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17536731.2 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 13. Let o be u\/(-2)*(-2 + 0). Suppose f = -3*c + 1072 - 1029, -4*c + 29 = 3*f. Solve h - 28 = -o*g, -g + 5*g = c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + 75. Let i = k + -187\/2. Let d = 42 - 167\/4. Which is the nearest to -2\/7? (a) 4\/7 (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557344?\nAnswer: 2, 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 150 (b) -133 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044186563 rounded to seven dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c**2. Let d(a) be the first derivative of a**2 + 3*a + 69. Determine g(d(n)).\nAnswer: -28*n**2 - 84*n - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*2 - (2*sqrt(11) + -1))**2.\nAnswer: 36*sqrt(11) + 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-580)\/(-12) + 16\/(-12). Let m = 85 - c. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -13 + -12 + (6 - 3 - (-5 + 14)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 28*c**2 - 4765*c - 13. Let y(x) = -15*x**2 + 2403*x + 7. Let q(n) = 7*s(n) + 13*y(n). Let q(r) = 0. What is r?\nAnswer: 0, 2116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 610.2954ml?\nAnswer: 0.6102954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14413211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -1\/12, -5, -4, -2\/45?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 36 = -5*w + 14, -4*s - 5*w = -14. Let f = -2 + s. Solve -f = d + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 1, -4, -64 in increasing order.\nAnswer: -64, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(28)*-1).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 5946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -87, 5 in increasing order.\nAnswer: -87, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37.67 + -42.67. Which is the smallest value? (a) 42 (b) n (c) 3 (d) 1\/8 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 46\/5 of a micrometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2702 + 3005. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -17*s**2 - 57*s - 46. Let b be w(-39). What is b rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 50. Let z = l - 21. Solve -a = -4*a - z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-four fifths of a millennium?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53491\/19 + -2812. What is the closest to -1\/3 in c, -2, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10302523 and 41937?\nAnswer: 30907569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 941232 at most 941297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/58 and 19\/174?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-8)))\/v*v*v*v**(1\/8)\/v*v*(v\/v**(-4))\/(v**(-11)\/v) assuming v is positive.\nAnswer: v**(209\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 995*u**2. Let g(o) = -994*o**2. Calculate -6*g(v) - 5*s(v).\nAnswer: 989*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 249532 + -172032. Round n to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12021111010210 (base 3) in base 7?\nAnswer: 32560401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*w**3 - 41 - 33 + 74.\nAnswer: -66*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -551, -927, -1325, -1751, -2211, -2711, -3257, -3855?\nAnswer: -4511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**8\/168 + f**7\/35 + f**6\/60 - f**5\/10 - 535*f**2. Solve j(p) = 0 for p.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7365 + -4089. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-16) - (-58)\/(-16). Let p be (b\/(-6))\/((-2)\/48*-2). Is 3 a factor of (p\/(64\/(-52)))\/(2\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 10. What is the second derivative of 0*b**5 + 5*b - b - b**w wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57142215 divided by -6349135?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {p: 1, a: 3, e: 4, l: 2, w: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 37*w + 167. Let h be m(-9). Sort 1\/5, h, 1\/7, -0.04, -0.3 in ascending order.\nAnswer: h, -0.3, -0.04, 1\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*f + 221 = 0, 216 + 14 = 5*x - 5*f. What is the least common multiple of x and 24?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -41 - ((3 - (6 - 5)) + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*a - 17*a - 22*a = 3830 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -14. Suppose -5*x + m = t + 3*t, 14 = 3*t + 4*x. Factor -1\/8 + 1\/8*l**4 - 1\/4*l**3 + 1\/4*l + 0*l**t.\nAnswer: (l - 1)**3*(l + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.448 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 6. Let o = -1.8 - r. Which is the nearest to 1? (a) o (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13473, -13207, -12935, -12651, -12349?\n\"Answer: q**3 - 3*q**2 + 268*q - 13739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 - 82*m**2 + 17*m + 434. What is r(27)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -371430, -371505, -371580, -371655?\n\"Answer: -75*b - 371355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 115, 104?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 10.065882 months?\nAnswer: 0.008388235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8470, -8457, -8436, -8407, -8370, -8325, -8272?\nAnswer: -8211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9976 and 3918248.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-9)\/(-54)*12)\/((-2)\/(-809))?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*v = 16, -3*v = -4*v - 4. Suppose -3*d - d - 20 = s, -4*j - 4*d = -11088. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4 = l, 0*n = -2*n. Let t be (-3)\/9*-2*(-828)\/(-184). Put t, -41, l in ascending order.\nAnswer: -41, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**4\/(p*(p**(2\/53)\/p*p)\/p)*(p\/(p*p*p*(p**8*p)\/p*p*p))**(16\/3) assuming p is positive.\nAnswer: p**(-3182\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2522\/39709 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4976 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1678765, 3357488, 5036199, 6714892, 8393561?\nAnswer: 10072200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-8))**(7\/2)\/((y**12\/y)\/y**(-3\/4)))**(4\/5) assuming y is positive.\nAnswer: y**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a week?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - x**2 - 134*x + 669. What is t(7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53.43 + -52.93. Let o = -7 + 2. What is the fourth biggest value in 3, 12, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 736 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c6a85 (base 14) in base 12?\nAnswer: -1727525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729270?\nAnswer: 2, 3, 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 15, -1429914*f - 3*r = -1429893*f + 180 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -589 + 571. Let o be -12*(-6)\/27 - 6\/p. Solve 3*i + 9 = 2*j, -3*j + 0*i - 9 = o*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*b**3 + 46*b - 46*b + 15*b**3.\nAnswer: 73*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1590 greater than or equal to -1590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**3 - m**2 + 1. Let o be v(1). Find the common denominator of 61\/4 and 29\/(-8)*2*o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (3 - 13) + 3. Let b be (-12)\/(-3)*(-402)\/q. Is 286\/39*b\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10952*n - 22478. Calculate t(2).\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 78.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 21*j**2 + 5*j - 26. Let r be d(20). Let s = -289 + r. What is the highest common divisor of s and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 2*w**7\/105 - w**5\/15 + 2*w**2 - w. Let i(k) be the first derivative of z(k). What is the third derivative of i(h) wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119440947 is divided by 466?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(231)*-1)\/sqrt(7))\/(sqrt(33)\/(sqrt(9)\/(sqrt(6)\/sqrt(2)))).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 19 = -4*u - 5, 0 = 5*u + 3*p - 21. Let f(j) be the first derivative of 8\/5*j**5 + 0*j + j**2 + 4 - 1\/2*j**4 - 8\/3*j**u. Find t such that f(t) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/20*(-1442)\/103?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/5800 and 119\/678600.\nAnswer: 678600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(147) + (sqrt(147) - 1*sqrt(147))*-2)**2 - ((-1 + sqrt(147))**2 + 3)) - (2*sqrt(147)*2*3 + 4))*-1.\nAnswer: -16 + 154*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2\/3 - 22160666*x\/3 + 4432133\/3.\nAnswer: (x - 4432133)*(5*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 2. Suppose 0*b = -h - 4*b + 22, 5*h = 2*b. Let m be r(h). Suppose x - 39 = l, m*x - 3*l - 21 - 57 = 0. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 5:16 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 20323.\nAnswer: 20324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 371 - 7051\/19. Suppose -25 = -7*l + 2*l. What is the third smallest value in l, s, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 + 10*r**2 - 16*r**2 - 3*r**2 - 5*r**2.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24063 and 4927.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 4*x - 28, 0 = -3*a - x - 0*x + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**8\/1344 - q**7\/140 + q**6\/240 + q**5\/20 - q**4\/96 - q**3\/4 - 295*q**2. Solve n(w) = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4 = 8*o. Let x(r) = r**2 - 4*r - 14. Let q(j) = -3*j**2 + 12*j + 41. Let u(c) = -6*q(c) - 17*x(c). Let d be u(6). Solve 0 = -5*b + d + o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/7)*j**(-1\/4)*j)\/(j**(-2\/17)\/(j\/j**6))*((j*j*j**(-2\/5)*j)\/(j\/(j*j\/((j*j*j**(-1\/3))\/j)*j)*j))**(-1) assuming j is positive.\nAnswer: j**(-51469\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 18\/211 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 13 + 4 + 14 + 4 + 250*u to the form l*u + w and give l.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*h - 2*l - 0*l, -7*h + 2 = -2*l + 7 - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -18 - (952 + -932) - (1 + -32)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54236.76 grams in tonnes?\nAnswer: 0.05423676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 482 * 4\nAnswer: 1928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 85 - 29 = 2*n, -2*z = -5*n + 131. Find the third derivative of -53*y**3 + 12 - n*y**2 + 16*y**3 - 12 wrt y.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.576397 microseconds in milliseconds?\nAnswer: 0.001576397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.2 - 4.1. Let x = 0.9 + n. Let j = -4.94 - 0.06. Which is the smallest value? (a) j (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, u: 3, r: 3, k: 1, x: 3}. Give prob of sequence urs.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - (0 - -1 - -1). Let b = 62 - 20. Calculate the remainder when b is divided by (h\/30)\/((-1)\/45).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-1274*s - 226*s - 8320*s - 1884*s).\nAnswer: 35112*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1989.957kg to milligrams.\nAnswer: 1989957000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 times -100660?\nAnswer: -105793660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1)\/s)\/s*s)\/s**(-4)*s**(7\/4)*s\/(s\/s**(-3\/2)))\/((s**(-1\/4)*s**(-4\/5))\/(s*s*s\/(s*s**1\/s)*s*s\/s**(-1\/5))) assuming s is positive.\nAnswer: s**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1194 divided by 26.\nAnswer: -597\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/2*1 + (-21)\/1 + 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -h - 3698, -13*h = -14*h - 3. What are the prime factors of c?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 126*d = -122*d - 25, 5*p = -134*d + 799 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**5\/2 + 2431939*j**4 - 18644801*j**3 + 38100216*j**2 - 59987555*j\/2 + 8106425 = 0.\nAnswer: 2\/3, 1, 5, 1621285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) -97 (c) -7\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 150\/135*(1 + -4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - o - 11 = -0*o, -3*o = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14827869 + 6672536693\/450. Let n = -149\/25 - l. Find the common denominator of n and (-4)\/8 - (-285)\/(-36).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(81)\/sqrt(3)*5)**2 - (sqrt(3) - (sqrt(3) - (sqrt(9)\/(sqrt(15)\/sqrt(5)) + sqrt(3))))**2*-5).\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 + 167?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/5580 and 173\/13020?\nAnswer: 39060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -993 + 988 - (5 - (-1 - -2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369.032 litres in millilitres?\nAnswer: 2369032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-2\/11))\/y)**(-25\/2))**(-1\/49) assuming y is positive.\nAnswer: y**(25\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 453, 472, 505, 558, 637?\n\"Answer: y**3 + y**2 + 9*y + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -17, 0, 20, 0.033?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 200111 (base 3) to base 11\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96061.\nAnswer: 7, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 3 + 0 + 2*a. Let d be b(-3). Suppose -3*h + 2*h = d. Solve h = -v + 2 + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 times 1.408831?\nAnswer: 656.515246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((n*n**(-12))\/n*n)\/n)\/n**20)**(-31))**(-1\/4))**(-22) assuming n is positive.\nAnswer: n**5456","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3153*z + 139917 - 3148*z - 139917.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-6)*-15*-2. Which is greater: r or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 58, -2, 2, -3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 12*z**2 + 13*z - 23. Give d(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 1, -57, 6 in decreasing order.\nAnswer: 6, 3, 2, 1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/((-194)\/(4904320\/240))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 23*q**2 + 90*q + 1. Let n(f) = -7*f**2 - 30*f. What is -7*n(w) - 2*z(w)?\nAnswer: 3*w**2 + 30*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 0.01, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 3*r**2 - 4*r + 2. Let p(w) = w + 3. Let i be p(-7). Let v be y(i). Suppose -v = -5*z - 3*s, 2*z = -s - 3*s + 8. Solve z = 5*q - q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 12 = -2*k - 2*o, 29 = 5*k - 4*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6931937?\nAnswer: 17, 173, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - ((-70)\/(-15))\/(-7). Let l = -0.1 - 0.4. Which is the closest to -1? (a) s (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**4 + 2*j**3 - 2*j**2 - 25. Let r(k) = 6*k**4 + 3*k**3 - 3*k**2 - 25. Let w(z) = -3*p(z) + 2*r(z). Find the first derivative of w(q) wrt q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (10 - (1 - -9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 16 = -9*m. What is the common denominator of -26\/3 and ((-820)\/(-42))\/(-5) - m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 11 = 4*t, -3 = -2*t - 2*v + 5*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 6*n**2 - 2*n - 2. Let d(f) = 2*f - 7. Let u be d(-7). Let y be 14\/u + 16\/(-3). What is the lowest common multiple of g(y) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819633393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 4410 (base 7) to base 4\nAnswer: 120213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpp when three letters picked without replacement from iprrppwrdwpprprwdp?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 25 (b) 9\/2 (c) -24 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 8 = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.3 - 11.3. Let y = 69\/7 + -71\/7. Sort d, 3, y in descending order.\nAnswer: 3, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -6873.\nAnswer: -687.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -846, -849, -850, -849?\n\"Answer: v**2 - 6*v - 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 5\/7, 575?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 516\/40)\/3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 89*z - 148. Let d be x(-10). Let c = d + 6083. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47090 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -3, 82246, 186 in decreasing order.\nAnswer: 82246, 186, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 12:01 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1. Let r(h) = -6*h**3 - 6. Give 6*p(y) - r(y).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/9 - 32*r**3\/3 + 106*r**2 + 2204*r\/9 + 128 = 0.\nAnswer: -1, 18, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 804390 and 3.\nAnswer: 804393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11332 - -2030?\nAnswer: -3302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 201, -5, 5, 3 in increasing order.\nAnswer: -5, 3, 5, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2 and 149\/42179010.\nAnswer: 42179010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 0*y - 1\/5*y**3 + 0 - y**2 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 + -0.33. Let z = -1412 + 1407. What is the nearest to d in -1, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 6*x + 2. Let w be u(-6). Suppose 0 = -3*h + 2*h - w. Let q = 0 - h. Solve q*r + 15 = -0*r - p, -r = 2*p + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 32, 17, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - (3 - 2) - (-3 + 4 - (-364 + 360)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13484615783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -36508402\/9 at least -4056489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 19 = -53. Let w(h) = h**2 + 202 - h**2 + h**2 + 13*h - 184. Let s be w(u). What is the highest common divisor of 54 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/7 - (-5102)\/14. Calculate the greatest common factor of k and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1086335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -4*m + 21, 2*m + 3*u - 8 - 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let t be q(3). Let m = 9 - 7. Suppose -t*x + m*f = -66, -88 = x - 5*x - 4*f. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -u + 2*p - 11, -2*p + 83 = -5*u. Let z(s) = -6*s - 91. Let o be z(u). Is o at least as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 9:29 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i + 76. Let j be t(-15). Let n(o) = -3*o**3 + 2*o**2 - 2*o + 1. What is n(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 63 - 127 + 64 - 2*l. Let g(i) = -3*i**2. Determine g(v(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -116, -5 in decreasing order.\nAnswer: 0, -3, -5, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*2 + 0 + sqrt(520)\/sqrt(10))*-1*4*-6.\nAnswer: 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1118 + 671 = 3*y - 4*y. What is the remainder when y is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1615029\/236 or 6844?\nAnswer: 1615029\/236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 58280, -7, -0.1, 1, -4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 14 + 12 = 0. Suppose 4*s - d = 5*y, -4*y + 3*y - 1 = 0. Let v(l) = -3 + l**2 + 3 + 1 + s*l**2. Calculate v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-79)\/((-45030)\/420))\/(8\/38).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19461 is divided by 308?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o + 27. Give d(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, n: 9}. What is prob of sequence nttt?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -5 (c) -2 (d) 12.2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -792724715 divided by 5?\nAnswer: -158544943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146428 = -2*a - 3*j + 49572, 4*j + 196000 = 2*a. What is a rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3219818?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 605123227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4 = -2*v, 27 - 9 = -2*q - 4*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2*10\/(-20))\/1*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21146147 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -11. Let u(x) = 3*x + 4. Let y be u(m). Let a be (-1)\/(10\/y - -1). Calculate the highest common factor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-105)\/(-7)*(-12)\/(-5). Let c be (4 - (2 + 1)) + 3. Suppose -5*h = -q + 2*q + 9, 4*q - c*h - m = 0. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -m - 7, 51593 = m - 4*l + 51600 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 693*m = 691*m + 584. What are the prime factors of m?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**4\/6 + 10*p**2. Let a(m) = 0*m**2 - 2*m**2 + m**2. Determine s(a(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20969102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 9. Suppose 0*i - 3 = -i, v - 2*i + y = 0. Suppose 4*s - 8 = 2*s. Sort v, -5, s.\nAnswer: -5, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437489 is divided by 6529?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 b when three letters picked without replacement from bbbqbbbqbqbbqq.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -840, -2975, -6440, -11241, -17384, -24875, -33720, -43925?\n\"Answer: -y**3 - 659*y**2 - 151*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -p - 3*p + 164, w - 3*p - 37 = 0. Suppose -w = -5*v - q, 5*q + 15 = 2*q. What is the remainder when v is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c = 5. Suppose 2*o + 6 = 4*n - 10, -2*n = 4*o - 18. Let w be (2\/4)\/((-2)\/4). Put w, c, o in decreasing order.\nAnswer: c, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 909*s - 8184. What is f(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5530024ns to microseconds.\nAnswer: 0.0005530024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28362*a*c**2 + 393*a*c + a - 88*c**2 - 2*c + 434 wrt c?\nAnswer: 56724*a - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (127\/((-3325749)\/(-86)))\/((-2)\/(-21)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 115. Let u(h) = h - 31. Let y be u(k). Let j(a) = -a**3 - 19*a**2 + 21*a + 24. Let s be j(y). Is s greater than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -15*u + 22. List the prime factors of l(-7).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.02. Let m = 57 + -60.92. Let f = m + s. Sort -0.5, f, 0.\nAnswer: f, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 40)*2\/4. Let z be (-280)\/r + (-2)\/3. Let f = 15 + z. Solve -f = m + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Suppose -2*j + 5*k + 121 = 18, 5*j - u*k - 268 = 0. What is the greatest common divisor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 11 = -m, -3*m - 3*x = -4*x - 1. Let u be (m + 2)*(1 - 0). Solve 3*b = -u - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527190917 plus 1671.1?\nAnswer: 527192588.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(95)*-4)\/((sqrt(60)\/sqrt(6))\/sqrt(2))*1)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*b - 14700 = -214*b. Solve -5*u = g - 24, 2*g + 143*u = b*u - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*w = 61*w + 9*d - 10, w + 3*d - 8 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 0 + 1 - 16*u - 3 - u**2 - 9. Let w be l(-15). Let d(f) = -f**3 + 8*f**2 + 3. Is 19 a factor of d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4476 * 9\nAnswer: -40284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (-29 - (3 + (11 - 44)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 12 = d + 34, d - 3*c = 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, 16.1, -1\/11, -38?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -7425354068.\nAnswer: -7425354067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**4\/4 - c**3 - 3*c**2\/2 - 3*c - 1. Let s be a(3). Let g(w) = -8*w - 13. Is g(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 18 = 4*x, 0 = 172*x - 168*x - 3*u + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -14. Suppose 0 = 3*m - 2*m + 4*k - 3, 0 = 3*k. Suppose 2 + m = d. Sort z, 3, d in ascending order.\nAnswer: z, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/127 + -281\/1143. Which is the second biggest value? (a) -1\/2 (b) 3\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -125058, -250083, -375104, -500121, -625134?\n\"Answer: 2*r**2 - 125031*r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 8*f**2 - 8*f - 19. Determine t(-8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 83*j**2 + 14*j - 85. Let t be s(5). Calculate the highest common divisor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003181 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1 + 4 + 8*u**3 + 1 wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 a factor of 60755415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -47. Calculate the common denominator of 1\/(-22)*f\/(-1) and 37\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 60*o**5 - 44636*o**4 - 7733528*o**3 + 18213208*o**2 - 13047588*o + 2612484 = 0. Calculate o.\nAnswer: -147, 1\/3, 1, 4443\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 59*n - 3. Give t(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/9 + 1900*k\/9 - 451250\/9 = 0. Calculate k.\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-11)*z**8)\/(z**(-2)\/z)**(-3\/17) assuming z is positive.\nAnswer: z**(331\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.165262 - -76.845488. Let a = -77 + x. Round a to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1549*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 10:04 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g**2 + g**3 - 3*g + 11*g + 41 - 29. Let m be y(9). Let b be 20\/m - 4\/6. Solve 0*p = -4*p, 2*j = 5*p + b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1940)\/30*(-2)\/4*3. What is the highest common factor of 97 and k?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 742168179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 13*p + 21. Determine i(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 14) to base 11.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8\/9))**(1\/39)\/(s*s*s*s**2\/s*s*s)**34 assuming s is positive.\nAnswer: s**(-71612\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -5828371?\nAnswer: 5828371.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -575 divided by 953.\nAnswer: -575\/953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 104336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Suppose 0*f = -y*f + 9. Solve r + 4*v = -25, -3*v - 20 = f*r - 2*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -992 = -0*q - 4*q. Suppose 33*z - 2199 - 2586 = 0. Let y be 4485\/z - (-4)\/58. What is the highest common divisor of y and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255531 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**7\/5460 - m**6\/1170 + m**5\/780 + m**3\/2 - 4*m. Let c(h) be the second derivative of z(h). Factor c(t).\nAnswer: 2*t*(t - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from hnncsny?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from dspkw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x. Let p(f) = f**2 - 5. Calculate i(p(w)).\nAnswer: -7*w**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9234 - -13445. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -11 + (34 - (11 - -4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 10. Suppose -g + 2*a + 2 = 0, 5*g + 7*a = 3*a - 4. Calculate r(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**5\/60 + 5*a**4\/12 + 5*a**3\/2 + a**2. Suppose 27*l = 443 - 146. Let j be h(l). Solve 0 = -j*c - 0*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5122\/135461?\nAnswer: 5122\/135461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, -8374, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 696794 and 266.\nAnswer: 13239086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -23. Calculate the remainder when 71 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -10414231?\nAnswer: 10414234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76 + -7080264?\nAnswer: -7080177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 58*u - 157. Calculate the smallest common multiple of 77 and l(5).\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 587212*h + 1761645.\nAnswer: -(h - 3)*(h + 587215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -18 - 19 + 7*r + 29. Calculate the remainder when m(10) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158852 - h**3 + 1188 + 1180 - 161220.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 10*f - 58. Determine q(7).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18 (b) 110 (c) -0.3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09475326552 rounded to 3 decimal places?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/5 - 21*x**2\/5 + 18*x\/5 + 8 = 0. Calculate x.\nAnswer: -1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88*g - 7*g**2 + 466 + 3*g**2 - 374.\nAnswer: -4*(g - 23)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.7 - -0.3. Let d = -4.02 + l. Let k = d + -2.98. Put 1\/3, -0.1, k in descending order.\nAnswer: 1\/3, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abd when three letters picked without replacement from akddnababda?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/4808 + -79463\/629848. What is the common denominator of s and 178\/(-4)*(-16)\/(-32)?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2. Let b(c) be the first derivative of -3*c**2 - 7 - 5 + 7*c**2 + 0. What is b(h(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i + 15 + 0*i - 7*i - 5*i. Let h(t) = 8*t - 7. Let y(c) = -c**3 + 2*c**2 - 2*c - 2. Let o be y(2). What is o*m(j) - 13*h(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 701060720 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20474122*u + 20474122*u - 1144*u**2.\nAnswer: -1144*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 34. Which is the second biggest value? (a) 0 (b) o (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604617199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10966783 - -2?\nAnswer: -10966781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:15 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -2. Let y = 7 - h. Solve -2*u = -d + 4, -4*u - 6 = -y*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515267?\nAnswer: 61, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 50 = 2*t. Suppose 34 = 4*u + 4*b - t, -u - 2*b = -25. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -3496162 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 9. Which is the closest to -1\/4? (a) w (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 37 = m - 0*m, -3*m + 3*q + 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -50. Suppose l = -2*f - 2*k + 118, -3*f + 5*k = -52 - 149. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40951 and 0.1?\nAnswer: -4095.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2259591?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 q, and 2 c when four letters picked without replacement from qqppcqqpcjp?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17962864?\nAnswer: 2, 1122679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 240\/25 + (0 - 6 - 3). Let k(j) be the first derivative of -3\/5*j**2 + 27 + 0*j - j**3 - l*j**4 - 3\/25*j**5. Find x such that k(x) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22823458283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 1 in ascending order.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4690 and 73898454.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2538, 2\/9, -0.4 in descending order.\nAnswer: 2538, 2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132880 is divided by 6960?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 43. Suppose -q = 3*u - u. Let w = u - -11. Solve 4 = w*k - k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -26, -66, -142, -266, -450, -706?\n\"Answer: -2*f**3 - 2*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h - 4. Let g be m(4). Suppose -3*s = -13 - g. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5921 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: Does 78 divide 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46.784 + -108.277. Let k = 155 + t. Which is the biggest value? (a) -3 (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g + 1. Let t(j) = 9*j - 2. Let n(m) = -2*t(m) - 5*u(m). What are the prime factors of n(8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14248 divided by 13\nAnswer: -1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -629664, -2518579, -5666774, -10074249, -15741004, -22667039?\n\"Answer: -629640*j**2 + 5*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 899.48 centuries?\nAnswer: 89.948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43672 and -0.1.\nAnswer: -43672.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 6:29 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 31*c**2 + 267*c - 11. Let u be r(-12). Solve 1253*j = u*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7043.654ng in grams?\nAnswer: 0.000007043654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjzdhhxsxxzhxxzhxz. What is prob of picking 4 h?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 - 102. Let p(t) = t**2 - 2*t + 3. Suppose 3*d - 5*i + 1 - 3 = 0, -2*d + 5*i - 2 = 0. Calculate the remainder when g is divided by p(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 4167 = 5*k. Suppose k - 1454 = -4*g - a, 3*a + 485 = 2*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 1:18 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is e5efb (base 16) in base 14?\nAnswer: 1a732b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 5 = -5*i - w, 0 = -4*i + 2*w - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 13*g. Let w(m) = -11*m + 8. Let t(f) = 21*f - 10. Let v(x) = 106*x - 48. Let r(h) = -11*t(h) + 2*v(h). Let y(u) = -4*r(u) + 7*w(u). Give s(y(i)).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h + 130 - 70 - 64. Let m be a(3). Suppose 0 = -5*k + 5*x + 190, 3*k - m - 93 = 4*x. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 m, and 1 x when three letters picked without replacement from {j: 2, t: 1, p: 2, z: 1, x: 1, m: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*g**3 + 0*g + 299*g**3 + 3*g + 13 - 8 + 132*g**3 wrt g?\nAnswer: 2862*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -268 + 268.0000288. Round z to 6 dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, -1\/121 in decreasing order.\nAnswer: -1\/121, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1. Let d(k) = -2*k**3 - 2*k**2 + 2*k + 4. Let l(i) = 0*i + 3*i - 4*i + 5 - 10. Let y be l(-3). Let h(t) = y*q(t) - d(t). Find s such that h(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 474430, 948589, 1422748, 1896907, 2371066, 2845225?\nAnswer: 3319384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(833) + 0 + sqrt(833) + -2 + sqrt(833) + sqrt(833) - -6*(-1 + sqrt(833))).\nAnswer: -6 + 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -245 * -0.11483\nAnswer: 28.13335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 10*b**2 + 11*b - 33. Let p(y) = -1088*y + 2185. Let t be p(2). What is r(t)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q**2 + 45*q + 24 = 0. Calculate q.\nAnswer: -8\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -0.6 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 7*p - 13. Let y be k(9). Let j(t) = 11*t**2 - 2*t. Let q be j(-3). Suppose y*a = q + 25. What is the remainder when a is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*d**3 - 740*d**4 + 737*d**4 + 74*d**3 + 4 - 6 to o*d + s*d**2 + q*d**4 + b*d**3 + c and give b.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1647644.22 microseconds to days.\nAnswer: 0.00001906995625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 + 6*z**2 + 3*z - 10. Let f be t(7). Is -2*(-3 + f\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -13.9939. What is l rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 plus -0.905?\nAnswer: 56.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v)**(5\/17)\/((v\/(v\/v**(-6\/11))*v)\/v*v*(v\/(v*v*v\/(v*v\/(v*v**(1\/2)*v)*v)))\/v)*((v**(-1))**(4\/9))**(-7) assuming v is positive.\nAnswer: v**(19337\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/8 - ((-50)\/(-8) - 6). Sort d, 0, 8, 1.\nAnswer: d, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 120970188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -8 (b) -2\/3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.23082 and 0.558.\nAnswer: 0.12879756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = -3*m. Let p be m*1\/(-3)*4. Suppose 27 = p*j - 1. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 6*s**5 - 1311897*s**4 + 95619361617*s**3 - 2323518523000080*s**2 + 22063793704262400*s + 24387407847936000 = 0.\nAnswer: -1, 21\/2, 72880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10 and -21.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 11500?\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15712390 and 5.\nAnswer: -15712385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/135 and 76\/15975?\nAnswer: 47925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -924\/17 + 8044\/153. Calculate the common denominator of t and 49\/141.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/8 and 1\/9060?\nAnswer: 18120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6575\/2 - -3280. Let h(m) = m + 9. Let i be h(-6). Suppose -37 = i*x - 10. Is b smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.2. Suppose 7*j - 28 = 14*j. Which is the closest to h? (a) 2\/17 (b) j (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 49. Give n(7).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 205, 221, 237, 253, 269?\n\"Answer: 16*h + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7895.9021 - -7895. What is a rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y - 11 + 22 = -29 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4121023 - 1410?\nAnswer: -4122433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1752 and 61\/73803.\nAnswer: 590424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*k - 22*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/24 + 19\/(-4). Let j(h) = -h - 2. Suppose 2*k = -0*k - 14. Let l be j(k). Put y, l, 1 in increasing order.\nAnswer: y, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*z**2 - 4246*z - 2528814 wrt z?\nAnswer: 44*z - 4246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p - 126 = 126. Which is smaller: 154\/23 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/5 + (-4)\/(-10). Let d be -6*1*(-78)\/52*10\/15. What is the nearest to 2\/5 in 1\/5, d, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2075\/(-1660)*7\/(-10).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7824 and 177648.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-11)*a\/((a*a**25)\/a))\/(a**9)**(-28) assuming a is positive.\nAnswer: a**218","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/19)*a*a\/(a\/a**5)*a)\/(a\/((a*a**1)\/a))**44 assuming a is positive.\nAnswer: a**(135\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - 10 - 7 - -35.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.24 - -1.36. Let w = j - -0.4. Let g be (-54)\/24 - (-2 + (3 - 3)). What is the fourth biggest value in 0.5, w, 2\/17, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 3016780?\nAnswer: 3016780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 42, 3.\nAnswer: 1, 3, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45274 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-100)\/(-5))\/2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3429 times 0.07?\nAnswer: -240.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**3 - 1208*i + 1210*i + 6*i**3 + 2*i**4 + 8*i**2 + 2 as n*i**4 + k + v*i**2 + f*i + q*i**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t = -4*j + 39, j - 220 + 212 = 4*t for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 30 = -b, 6*b - 5 = 2*b - 5*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t**3 + 57679152*t - 57679152*t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 7. Suppose s - u - 3 = 0. What is the remainder when 42 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/3)\/(9\/81). Solve -h - 1 = 0, -h + 4 = -4*t + b*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 35 = -5*o - 10, -5*o - 2*a = 10. Suppose 0 = -o*z - 4*z. Suppose z*y + 8 = 4*y. Solve 0 = -b, -b + 1 = y*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvl when three letters picked without replacement from vlvlvvllll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -147, 556, 2109, 4512, 7765, 11868?\n\"Answer: 425*b**2 - 572*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32404 - 1669?\nAnswer: -33a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143\/17 + 7957\/952. Let z = j - -43\/56. Let s = z - 59\/63. Is s at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 + 1)*2\/3. Let a(o) be the first derivative of -o**3\/3 - 7*o**2\/2 + 5*o - 29. Calculate a(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -867 - -13891\/16. Calculate the common denominator of l and (-2)\/7 + 750\/224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Which is the closest to s? (a) -2\/5 (b) 1 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 43 - 3. Let a = 11955 + -11707. Calculate the highest common factor of a and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 m when three letters picked without replacement from eemeeeeeeeme?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -2*j**7\/105 + j**6\/30 + j**5\/15 - j**4\/6 + 9*j**2. Factor v(i).\nAnswer: -4*i*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbjjbjbjjbbj. What is prob of picking 4 j?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**6 + 42*m**3 + 80*m**2 + 3*m.\nAnswer: 360*m**3 + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 397 + 619 = 21*a - 434 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 1\/2*d**2 + 3*d + 0 + 1\/6*d**3. What is the units digit of f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 70 + 220 - 76 - 75. Let m(x) = 10*x. Give -8*d(g) + m(g).\nAnswer: 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1796.2 times -15\nAnswer: -26943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 - 2*l + 19 + 14)*(2*l - 3*l + 0*l + (4 - 3 + 1)*(l + 0*l + 0*l)) to y*l + f + v*l**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 892238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**4\/30 + 24*z. Factor j(o).\nAnswer: 2*o**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -3*r + 17, 1682*r = -5*m + 1684*r - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -441 or 1?\nAnswer: -441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38*1548\/28595)\/((-10)\/25).\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 7. What is the second smallest value in 3, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6970.766 milliseconds?\nAnswer: 6970766000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46968659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(272) - (sqrt(272) + sqrt(272) + -4)**2) - sqrt(17) - (sqrt(17) + -5 + (sqrt(833) - sqrt(17)) + sqrt(17)).\nAnswer: -76*sqrt(17) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 413288413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, 0, 11, 5, -3 in ascending order.\nAnswer: -3, 0, 5, 11, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oii when three letters picked without replacement from hriohhobowhi?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 7:46 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -31*s**3 + 5*s**2 - 4*s + 1. Let h(v) = v**3 - v**2 + v. Let x(u) = 5*h(u) + p(u). Let q = 1 + -2. What is the tens digit of x(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 1672?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 l, and 1 s when three letters picked without replacement from edlsllssssll?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**4 + 2*h**3*y**3 - 26*h**3 - 178*h**2 - 5*h*y**3 wrt h?\nAnswer: 96*h + 12*y**3 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08614 greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2. Suppose 4*r - d + 19 = 0, 0 = -2*r + 3*d - 0*d - 17. Let k(g) = 2*g**3 - 1 + 4*g**2 + 1. Calculate r*v(u) + k(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1089 - 201 = 82*o - 125*o for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 1039. Calculate the greatest common factor of 116 and u.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -11551*d + 1478529. Determine f(128).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 760 + -724. Suppose u*i = 53*i - 657900. What is i rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 11:34 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 363446482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - p**2 + 0*p**2 + (0 + 2 + 0)*(3*p**2 - 2*p**2 + p**2) - 3*p**2 + 3*p**2 + p**2)*(-13 - 8 + 8).\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -7 + -1 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svov when four letters picked without replacement from {h: 2, o: 3, s: 1, b: 1, v: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2168.1 + 2168. Which is greater: o or 1057?\nAnswer: 1057","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -70288?\nAnswer: 5\/70288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t - 7 = 2*x, 5*x + t = -10. Let y be (-4)\/(-1 + x) + 2. Suppose -2*n - 8 = -y*v, -2*n + 5 = 3*v - 8. Solve -p + n = 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*5\/((-125)\/35). Suppose 4*u - 1003 = r, -4*u = -c*u - 4*r + 776. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-72))\/1 + (-4)\/(-18). Suppose 3*m - 6 = v, -4*u + 3*m = -2*m + 2. Solve -5*l + 5 = -3*b, -l - b + 11 = u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 75\/7, 0.3, 0.2, -3, 4, -657\/2?\nAnswer: -657\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 5*a**2. Let g be s(-5). Suppose g = -o + 8 + 10. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 565234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.41 (b) 3\/8 (c) 0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -62.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z - 14. Let g be m(-6). Let r be (-1496)\/(-72) - (-4)\/18. Solve 4*y + r = -3*h, -3*h - 2 = 3*y + g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 5 = 59. Is 0 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 5*r**2 + 34*r - 25. Let j be i(8). What is the greatest common factor of j and 1111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:33 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 5*k**2 - 2*k + 19. Let l be a(-6). Let x(w) = -w + 22. Let i be x(15). Let b = -9 + i. Sort -4, l, b.\nAnswer: l, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424255234 a multiple of 2711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 568114?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 132366, 131902, 131440, 130980?\n\"Answer: f**2 - 467*f + 132832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -19.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*m - 22*m**3 + 20*m**3 - 218*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/20 and (-2)\/(-2) - (-315)\/36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ed3aa (base 16) to base 10.\nAnswer: 971690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-126))\/((-99)\/6237) - 38?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -104671 and -104672 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30180 + 19918.5. What is a rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/5)\/((3000\/1125)\/(20*3)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3002.\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - 3*x**2 - x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 1924\nAnswer: 3848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 165728 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 27 = 5*j - 3*j, 4*j - 9 = m. Let k be (-1*(0 - m))\/1. Let s(c) = -184 + 2*c - 232 + 594 + c**2 - 181. Give s(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 85 = -2*a, 4 = 2*b + 2*b. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v - 88*v - 722*v + 97232 = 92*v for v.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000062704733 to seven decimal places.\nAnswer: -0.0000627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4. Let z(o) = o - 1. Let q(f) = i(f) + 2*z(f). Let n be q(0). Find the third derivative of 3*u**n - 3*u**2 - 2*u**4 + 3*u**2 - 3*u**4 wrt u.\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2 + 17*w + 1. What is the thousands digit of t(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 20 = -5*i + 87, -3*i = 4*h - 31. What is the remainder when 22 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 4 + 2 + 1. What is a(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 9) in base 16?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (5 - -5) - (7 - (-1 - -3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8549002 or -42745008\/5?\nAnswer: -8549002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Suppose -4*u = u + c - 21, -3*c = -5*u + 37. Let o(q) = -4*q + 43. Let f be o(11). What is the nearest to f in r, 0.2, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 8143 + 3 + -5. Let p = -81329\/10 + l. Calculate the common denominator of p and 48\/13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, -75\/13, 0, -1\/50 in ascending order.\nAnswer: -75\/13, -1\/50, 0, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b**2 + b**2 - 2*b**2)*(-3*b + 3*b + 2*b + (-4 + 3 + 3)*(-5*b + b + 2*b) + 0*b - 4*b + b).\nAnswer: 50*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2328, 5306, 8260, 11178, 14048, 16858?\n\"Answer: -2*z**3 + 2992*z - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 10. Calculate the remainder when y is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -950*k**3 + 415*k**3 + 268*k**3 + 265*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izz when three letters picked without replacement from kizkiinnznknzk.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7708.773 millennia to decades.\nAnswer: 770877.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 144.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/319548 and -24\/133145?\nAnswer: 1597740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*s**3 + 442*s**3 - 1941 + 973 + 968.\nAnswer: 289*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 560 + -497. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 2:35 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 427, 408, 373, 316, 231, 112?\n\"Answer: -w**3 - 2*w**2 - 6*w + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3\/7*a**4 + 3\/7*a**3 - 12\/7*a**2 - 12\/7*a + 0 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/80 and 54\/2933.\nAnswer: 234640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 690 - 193. Let m = -496 + b. Let z = -7\/5 - -6\/5. Is m >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36848 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/17 + 16606*t**2\/17 - 566986*t\/17 - 583590\/17 = 0.\nAnswer: -8337, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 6:35 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 487 - 120. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1)\/r)\/r)\/r)**(-45)\/(r*r*r*(r*r**(2\/7))\/r*r)**(-38)*(((r\/(r**(-4)\/r))\/r)\/(r\/r**7))\/((r*r**(-2)*r)\/r)**(-2\/29) assuming r is positive.\nAnswer: r**(71819\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2744887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 - -134. Suppose 0 = -f - 2*f - 9, -c - 3*f = -g. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*-0.01059.\nAnswer: 0.0001059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -30358.\nAnswer: -30358, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -504428.6 times 1\nAnswer: -504428.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2952, 5905, 8858?\nAnswer: 11811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -101, -21, 111, 295, 531, 819, 1159?\n\"Answer: 26*t**2 + 2*t - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1668463 - -8?\nAnswer: 166846b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**4\/12 - m**3\/2 - m**2 + 11*m. Let w be ((-1884)\/21)\/(-1) - (-2)\/7. Let d = 93 - w. Calculate n(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 + s**2 + 2*s**2)*(-s + 3 - 3) + s**3 - s**2 + s**2 + (s - s + s)*(5*s**2 - 5*s**2 + 11*s**2).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 13. Suppose -10 = 37*h - n*h. Is h <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 300600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*p - 283 = p, 0 = 5*m + 2*p + 348. Let f = -13 - m. Suppose 2*k = -2*k + 124. What is the remainder when f is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 22. Suppose -4*i + o*i = 1848. What are the prime factors of (i\/28)\/((-1)\/2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s - 24. Let k(z) = 6*z - 23. Let d(g) = 4*k(g) - 5*l(g). Suppose -35746 - 8405 - 5032 = -359*f. What is the remainder when f is divided by d(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcwcnncbcnb. Give prob of sequence ncnn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -35*m + 2. Let t be l(2). Let v = t - -71. Suppose v*x + 6 = 3*c + 333, -4*x + 464 = 3*c. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000014 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 2*l + 81. Let i be j(0). Let b = i + -74. What are the prime factors of (142\/8)\/(b\/(-4) - -2)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 12*c**2 + c + 8. Calculate x(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/16 + -1\/16. Let h = 2.6 + 0.4. Which is the closest to 0.1? (a) 0.1 (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -804 (b) -0.9 (c) -4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-35)*y)\/y*y**(13\/3) assuming y is positive.\nAnswer: y**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21759, 43520, 65277, 87030, 108779?\nAnswer: 130524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -3. Let g = -126.8 - -128.8. Which is the closest to -0.12? (a) l (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1376613.531 rounded to the nearest ten thousand?\nAnswer: -1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -361*h**5\/130 + 95*h**4\/26 + 24*h**3\/13 + 4*h**2\/13 + 37*h. Factor b(d).\nAnswer: -2*(d - 1)*(19*d + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijcjjijyjfjicy. What is prob of sequence fij?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/2757 and -55\/171.\nAnswer: 157149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 - 30 = 5*s. Suppose 3*d = 4*r + 90, r - 2*d + 17 = -3. Let f = r - -40. Calculate the remainder when s is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2. Let i(f) = -f**2 + 15*f - 6. Let v = 442 + -441. Let d(c) = c**2 + 2*c - 1. Let g(h) = v*i(h) - 6*d(h). What is m(g(a))?\nAnswer: -98*a**4 + 84*a**3 - 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 = -21*p - 128 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*21*((-2610)\/(-120))\/(-87)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 = 27*s - 24 + 60 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1101 in 11, 16, 0, 1\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10797 or 10799?\nAnswer: 10799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 (base 9) in base 8?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 82\/((-33)\/18 - -2). Let n = -113 + r. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**(-1\/4)\/(q**1\/q)**45 assuming q is positive.\nAnswer: sqrt(q)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29849 rounded to the nearest 100?\nAnswer: 29800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffnnmmfn. What is prob of picking 2 n and 2 f?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.21 + -5.79. Which is the nearest to 1? (a) r (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.903 - -1.097. What is the closest to 1 in -5, 2\/11, 0, y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 5*t**2 + 2*t. Let w(m) = -2*m**3 - 4*m**2 + 2*m. Let s(h) = -2*q(h) + 3*w(h). Let b(v) = v**3 + v**2 - v. Calculate -10*b(z) - 5*s(z).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*w = 17, -3*g = -8*g - 4*w - 90. Let f(o) = -66*o + 52. Is 52 a factor of f(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 5*z + 4. Let y be s(5). Suppose -3*u = -5 - y. Which is greater: 6 or u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 187\/2 - 9\/(-18). Let n = 173 - m. What is the second derivative of 3*h**5 + 92*h - n*h + 0*h**5 wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80225, 3, 2, 50 in decreasing order.\nAnswer: 80225, 50, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9193 - -28.77814507.\nAnswer: 9221.77814507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**7\/2520 + k**6\/80 - k**5\/120 - 65*k**4\/24 - 111*k**2. Let o(w) be the second derivative of a(w). Give o(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 + -0.69. Let r = 3.2 - u. Let g = 6.26 - 1.26. Which is the third biggest value? (a) -3 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16489 from 4251013.\nAnswer: 4267502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7116 divided by 6.\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-3 + sqrt(88))*-5 - sqrt(88))\/(3*sqrt(32)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oywwyxyxwna. Give prob of picking 2 w, 1 a, and 1 n.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**4\/2 - 3*g**2\/2 + 3. What is the second derivative of c(n) wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**5 - 65*a**4 - 55*a**3 + 665*a**2 + 660*a = 0. Calculate a.\nAnswer: -11, -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000289718625 rounded to 7 decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 55 = 55. Suppose k = 6*q - q. Suppose 0 = -2*g - 3 + q. Solve b - g*t - 13 = -0, 4*t + 17 = 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 1869, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8534.5 - -8534. What is the third biggest value in -2\/75, -1\/6, r, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1449*v**2 + 31 + 11060*v**2 - 31 to the form w*v + q*v**2 + b and give q.\nAnswer: 12509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-918)\/1071)\/((-4)\/(-210)*-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159416150.04 + 0.5?\nAnswer: 159416150.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 7*p + 2. Let w be g(-7). Let o(l) be the third derivative of 8*l**w - 1\/6*l**3 + 0*l + 5\/24*l**4 + 0. Differentiate o(h) wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 5. Let n be j(10). Let f(a) = -12*a**3 - a**2 - a - 1. Let k be f(-1). Let c = n + k. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 62\/3157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 151511 (base 7) in base 15?\nAnswer: 8aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -15 - (0 - 1)) + 760 + -714?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -19*m - 12 - 19 - 35*m + 39*m. What is the remainder when 86 is divided by d(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3797 - -3843. Which is the third biggest value? (a) g (b) 0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 123*s + 4052. Determine z(-36).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*z - 1064 + 1044, -56 = -4*a + 5*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 645. Let k = 654.0281 - d. Let i = k + -0.028. What is i rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.12 (c) 5 (d) -55 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-11 + (24 - 13) - 80 - (-16 - -8))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5\/7 - 8*m**4\/7 - 8*m**3\/7.\nAnswer: -2*m**3*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302145289?\nAnswer: 1627, 185707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 5 - (137 + -180)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3211 - 789 - 1390 = -385*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005723464 rounded to seven dps?\nAnswer: 0.0005723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + ((0 - 19) + 19 - (4 - 0)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -86220.5 rounded to the nearest 100?\nAnswer: -86200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 11:48 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*g**6 + 15*g**4*i**2 - 36*g**2 - 2*g*i**2 - 2*g*i wrt g?\nAnswer: 960*g**3 + 360*g*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 26142 (base 9) to base 16\nAnswer: 44cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1672795?\nAnswer: 5, 73, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 414815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**3 - 5*n**2 + 1. Let o be t(1). What is the common denominator of 0 - 83*2\/(-4) and (o\/5)\/((-24)\/(-256))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + r**2 - 2*r + r**3 - 2 - r**2. Let c = -38 + 36. Determine n(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 133 - 133 + 28*a**4 + (2*a - 2*a**3 - 2*a)*(1 - 1 - 2*a) - 2*a**4 + 4*a**2 - 4*a**2 + 2*a**4 - a**4 + a**4 + 2*a + 2*a**4 - 2*a.\nAnswer: 34*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*z**3 - 72*z**2 + 72*z**2 + 504*z**3.\nAnswer: 435*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -b + 5. Let i = b - 14. Suppose i*t - q = -4*q + 20, -5*q = -t + 23. What is the remainder when 21 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1 + 1 - 1. What is the closest to 1 in -3, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -167*v**3 + 2*v**2 + 2*v - 9999 wrt v?\nAnswer: -501*v**2 + 4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.96 - 41.963674. What is n rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**(-1\/2)*r)*r*r)**(-11)*r\/r**(-2\/17)*(((r*r\/r**(-5)*r)\/r)\/r)\/r assuming r is positive.\nAnswer: r**(-1101\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o - 3*j + 16, -2*j + 7 = -o. Let t be -131 + (0 - 1) - o. Let u = t - -250. What is the greatest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18008 and 81036?\nAnswer: 162072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -145*h**2 - h. Let j be g(-1). Suppose 0 = -d - 3, -d - 113 = f + 3*d. Let p = f - j. List the prime factors of p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -1428, -4782, -11306, -22056, -38088, -60458?\nAnswer: -90222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**4 + 618*d**3 - 31718*d**2 - 618*d + 31720 = 0.\nAnswer: -1, 1, 65, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4 + 6*k + 11 + k**2 - 5. Let v be x(-4). Suppose 6 = 4*c - v. Solve -c + 12 = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -15*p**2 - 60*p + 17. Let q(g) = -15*g**2 - 63*g + 21. Give -4*q(v) + 5*s(v).\nAnswer: -15*v**2 - 48*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((61746\/(-138375))\/(-251))\/(5\/75)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 + 4*d**2 + 3*d**2 + 125*d - 124*d in the form w + f*d + b*d**2 + o*d**4 + n*d**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u + 63. Let b = u - -6. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3185 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1569*c**4 - 194*c**2 - 9*c wrt c?\nAnswer: 37656*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/14*((-744)\/(-31))\/216.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -1182 = -1193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151 + -213. Let t = g - -85. What is the third derivative of -5*a**2 + 16*a**5 + t*a**2 + 11*a**5 wrt a?\nAnswer: 1620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*q = 0. Solve q = -0*y - 2*y - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**2 + 7*v + 41. Let c(d) = -3*d**2 + 4*d + 21. Let w(a) = 4*b(a) - 7*c(a). What is the units digit of w(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8446821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -31, -41?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**6\/5 - 2*c**5\/5 - c**4\/6 + 3*c + 43. Factor z(p).\nAnswer: -2*p**2*(p + 1)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3\/3 + 296*d**2\/3 - 10786*d\/3 + 10492\/3 = 0.\nAnswer: 1, 61, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -456, -1057, -1884, -2931, -4192?\nAnswer: -5661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -15 + 44 + -21 + -29.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 983 - 998. Let n(x) = x**2 + 16*x - 18. Calculate n(s).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 14*y - 1. Let w be o(1). Suppose -r = w - 100. Differentiate 46*g - 20*g**2 + 41*g - r*g + 49 with respect to g.\nAnswer: -40*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**7\/420 + u**6\/80 - u**5\/60 + 35*u**2\/2 - 10*u. Let x(r) be the first derivative of a(r). Let x(t) = 0. What is t?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -1 - 2. Let j(s) = -92*s**2 - 8*s + 1. Let b(l) = -78*l**2 - 7*l + 1. Let p(a) = 6*b(a) - 5*j(a). What is p(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2*(-22630 - -4*(-8 + 10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1553, -2744, -4739, -7538, -11141?\n\"Answer: -402*q**2 + 15*q - 1166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70865, 70559, 70253, 69947, 69641, 69335?\nAnswer: 69029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 120 + (-41612)\/412?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494 + -49145314.\nAnswer: -49144820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147405\/2 + -73700. Factor f*u**2 - 15\/2 + 5*u.\nAnswer: 5*(u - 1)*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*o + 10, 5*o - 2*w + 0*w = 13. Suppose -3*s + 3 = 3*r, 16 = -5*r + s - 3. Let p = r + 6. What is the least common multiple of p and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-54)*81\/135. What is the closest to 0 in s, 0.2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344191 and 1473?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633445 is divided by 158343.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -8570?\nAnswer: 77130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -9\/4 (c) 110699 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -25*a**2 - a. Let b be f(-1). Let m = -21 - b. Solve -5*s - 8 = -m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*(-84)\/77. What is the closest to -2\/5 in -2, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by 2\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 2*t**2 + 2*t - 1. Let l(v) = v**2 - v - 1. Let w = -687 + 685. What is w*l(n) - q(n)?\nAnswer: n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 81 = -33. Calculate the remainder when v is divided by -4 + 18*(-3 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*x - 19437, -154*j + x = -155*j + 3889. What is the smallest common multiple of j and 576?\nAnswer: 15552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41743.033 + -41706. Let f = -0.042 - -37.042. Let o = y - f. Round o to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*l = -11, l - 6 - 1 = -2*d. Suppose -8*k = -d*k - 6. Calculate the highest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-195)\/1242)\/((-40)\/(-870)). Let c = q + 68\/23. Calculate the common denominator of 115\/12 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 141. Determine d(20).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/204228 and -7\/3817929.\nAnswer: 137445444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*t**4 - 136 with respect to t.\nAnswer: -124*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 16 = -n. Let a be (-7)\/(-4) - 2\/n. Find the first derivative of v**4 + a - 1 - 3*v**4 wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(((-56)\/4)\/(-7)))\/(-5*(-11)\/(-1100))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 187 = -2*p + 7*p, -276 = -3*o + 3*p. Suppose 14*i - i = -o. Calculate the smallest common multiple of 4 and (-3 + (-4)\/(-2))*(i + -3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*x - 47, 4*f - 44 = x - 5*x. Suppose -9 + 4 = -h. Let c(v) = 2*v - 2. Let q(g) = 15 + 15 - 6*g - 24. Give f*c(p) + h*q(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.26 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-156))\/((-24)\/96).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/56*(-16)\/(-27). What is the closest to -4\/3 in f, 4\/5, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 16 - 4, -l = 4*a - 19. Let t be 1\/(-2) - (-582)\/a. What is the highest common divisor of 29 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*l + 110*l - 811666234 - 18470936. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -807790 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -2\/5 (b) 4 (c) -8259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 5*n + 18, 12 = -9*z + 7*z - 2*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 - 64*s**2 - 706*s - 1160.\nAnswer: -(s + 2)*(s + 10)*(s + 116)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, h: 4, e: 2, x: 2}. What is prob of picking 2 h, 1 z, and 1 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/924 and -4\/51.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 4*p + 9 = -8, 4*p = -2*i + 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - q + 3*q - 4*q - q + 2*q + 2*q - 5*q - 4*q + q + q + (-1 + 1 - 2*q)*(-3 + 0 + 5) - 3 + 9 - 5 + 4*q.\nAnswer: -6*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x - 97. Let z be j(-33). Suppose 3*d + 2*d = 30. Calculate the highest common factor of d and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b**(2\/7)*b*b))\/(b*b**3*b)*b**(-5\/3)*b**(-2\/7))**2 assuming b is positive.\nAnswer: b**(-262\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-22))\/(-3) - (-4221)\/2211. Factor -85\/4*u**4 + 0*u + 0*u**t - 45\/4*u**5 + 5\/2*u**3 + 0.\nAnswer: -5*u**3*(u + 2)*(9*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -154 and -222.203.\nAnswer: -376.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 2)*(13 + 6 - 5)*(0*p**4 - 3*p**4 + p**4).\nAnswer: -112*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 130 = 2*r, -i - r - 55 = -3*i. What is the greatest common divisor of i and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38631*p + 2960 = 38711*p for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, t: 4, h: 6, q: 3, g: 4, z: 2}. What is prob of sequence ggg?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -57. Calculate the lowest common multiple of f and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01086199871 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -0.06, 2, -0.0406, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 30. Suppose j + 6 = y. What is the remainder when j is divided by (-99)\/792 - (516\/(-32) + 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 883422 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + 13 - (-9 - -12)) + 15.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 434 + 26. Calculate the remainder when u is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(228)\/(sqrt(12) + sqrt(192))*2)**2 - ((-4*sqrt(190)*-1)\/sqrt(10) + 0))*6.\nAnswer: -24*sqrt(19) + 606\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055847484?\nAnswer: 2, 12959, 20369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let q = i - 7. Is q\/4 + 2 + 42 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1116, 887, 638, 363, 56, -289?\n\"Answer: -o**3 - 4*o**2 - 210*o + 1331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/21)*(u*u*u*(u*u*u**33)\/u*u)\/u)\/(u*u**41*u\/u**18) assuming u is positive.\nAnswer: u**(253\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/30 and -26\/4005.\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1836)\/85 - (-2 - 22)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/60 + 11*r**4\/24 - 19*r**2. What is the second derivative of l(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**2 - 8*b + 3. Let j(i) = 59 + 9*i**2 - 63 - 3*i + 12*i. Calculate 6*j(l) + 7*k(l).\nAnswer: -2*l**2 - 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266 - 2*k - 126*k**2 + 266.\nAnswer: -126*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1049 - 1048.7. Sort 5\/2, -6, -13, r in increasing order.\nAnswer: -13, -6, r, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 1 - 3*h)*(4 + 5 - 5)*(5 - 2 - 2) to the form q + r*h and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 16 = 0, 26 = -33*w + 31*w - 4*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 527\/9. Is j != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.073 and -0.0970646.\nAnswer: -0.1700646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -9) + (13 + -11 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18145, -36322, -54533, -72778, -91057?\nAnswer: -109370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2329 + 2329. Let g = -203\/88 + 17\/8. Which is the closest to -0.2? (a) 5 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.27 (b) 99 (c) -26 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7548 and 10?\nAnswer: 37740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/13, 2\/3, -0.5, 1, 22\/3, 3\/7 in decreasing order.\nAnswer: 22\/3, 1, 10\/13, 2\/3, 3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.54 - 7.539982. Round z to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-32) + 17634\/(-8). Let z be 2\/11 + x\/(-33). Suppose j = -u + 1 + 18, 3*u + j = z. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3040697 rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -1\/2 (b) 5 (c) -3\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, 12, 26, 40, 54?\n\"Answer: 14*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -519, -529, -539, -549?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 0*h**2 - 1 + 3*h**2 + 0*h**2. What is w(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + -1 - (0 + 0). Suppose 3*g + 5*j + 30 = 0, -3*j + 42 = -2*g + 3. Let d = -12 - g. Solve -d*a = -2*a - z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 3 = -3. Suppose s*f + 2*a - 19 = -3*f, 0 = -a + 2. Solve -5*l + 0 = 3*m - 7, -f*l - 9 = -m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 22*r + 14. What is i(16)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1814954*o**3 - 720669*o**2 wrt o?\nAnswer: -10889724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c89 - 1771?\nAnswer: 8518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) -1 (c) 1 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848 is divided by 74?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -274 + 418. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*sqrt(700)*1 - (0 + sqrt(700))*3)**2*1)*2.\nAnswer: 22394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2580.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2213864 + -31.29055.\nAnswer: -2213895.29055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 54 = -g. Let f be 3\/(-2)*8\/g. Which is smaller: f or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28636 + 28634. Is -1247 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000703 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -639 + 1171. Let g be (469\/(-35) + 5)*10\/(-3). What is the greatest common factor of h and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10282166 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 25, -181, -1.\nAnswer: -181, -18, -1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-1) - 4\/(-1). Suppose 0*w - 34510 = 5*s + 5*w, n*w + 4 = 0. What is s rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 + 18*y - 6. Suppose 0 = 28*f + 7*f - 385. Let d(x) = 5*x**2 + 33*x - 11. Let u(w) = f*v(w) - 6*d(w). Factor u(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2*1)\/((-20)\/(-3360)*21)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40502707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*z**2 + 428*z + 96.\nAnswer: -2*(z - 24)*(9*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o - 1. Let y be s(0). Let m be 7\/(-14)*y*4. Solve -2*q - m = -2*i, -3*i + 4*q = 3*q - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**4\/4 + 227*y**3 - 22107*y**2\/2 + 159445*y - 2888875\/4 = 0.\nAnswer: -955, 11, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695279077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*j + 16070 = 6757. Calculate the remainder when 416 is divided by j.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1010, -1004, -1012, -1040, -1094?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 p when four letters picked without replacement from {q: 3, o: 3, m: 6, p: 2, x: 1}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175122 to the power of 1\/2, to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/112*80\/(-560).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 45*x**2 - 44 - 36*x**2 + 75*x**2)*(-5*x - 5*x + 5*x).\nAnswer: 30*x**3 + 5*x**2 + 220*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2 - 10. Let z(w) be the first derivative of 1\/3*w**3 - 2 + 3*w**2 + 6*w. Calculate z(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-3)*m)*m)\/m)**(-6)\/(m**13\/(m\/((m*m**(1\/7))\/m*m))) assuming m is positive.\nAnswer: m**(-218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9084909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a75 + 1b34d?\nAnswer: 196b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(36\/72)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1023268*c**2*h + c**2 - 17143*c - 7 wrt h.\nAnswer: -1023268*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65 and 118.\nAnswer: 7670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226619014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = 4*o, -2*o + 23 = 5*p - 0*o. What is p rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - n - 11 = 0, 71*n - 75*n - 4 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 1. Let d(s) = -s**2 - 19*s + 3. Let k(h) = d(h) - 3*n(h). What is the units digit of k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5390494*b**5 + 8564862*b**2?\nAnswer: 323429640*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*m + 106972 - 107068 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -832892, -833091, -833290?\n\"Answer: -199*l - 832693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 180*n**4 - 3*n**2 - 159*n**4 - 15*n**3.\nAnswer: 3*n**2*(n - 1)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 3*j**3 + 2*j**2 + 12*j**4 - 19*j**4 + 9*j**4 + 6*j**4 to q*j**3 + y + f*j**4 + v*j + x*j**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 32 = -2*u, -2*u - 3*o + 24 = -u. Calculate the highest common divisor of u and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -7*x + 12. Suppose -3*q - 12 = -x. Let t be 2\/4*(-3)\/6. Which is the nearest to 0? (a) 3\/5 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 20 = -3*s - 17, b = -s + 33. Let u = b + -31. Suppose 0 + 2 = -2*j, 0 = u*n - 4*j - 94. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a decade in months?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 1)\/((-3)\/(-127)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -9.35. Let p = 4.25 + c. Let h = p + -0.6. What is the second smallest value in -1, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01226, -3, 1\/2, 23.\nAnswer: -3, -0.01226, 1\/2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -2\/5 (b) -1\/61 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 8*t + 9. Let v(n) = n**2 + 8*n + 10. Let c(x) = 2*v(x) - 3*w(x). Let b be c(-6). Solve z = -2*u + 8, -b*u + 20 = 3*z + 2*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a millimeter in micrometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, b: 2, h: 2, v: 1, s: 1}. Give prob of picking 1 s, 1 v, and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.435 - -0.345. Let n = i + -1.78. Let u = -0.9 - -0.4. Which is the nearest to n? (a) -4 (b) 12 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 223 + -99. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**3 - 4*u**2 - 6*u + 8. Let y(d) = 7*d**3 - 4*d**2 - 7*d + 9. Let c(i) = 6*a(i) - 5*y(i). Let g = 38 + -31. Is c(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (1*(-1*sqrt(32) - sqrt(32)) - 4*sqrt(800)).\nAnswer: -88*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 612.7 + -1\nAnswer: 611.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.8, 4\/7, 1\/3, -502, -7 in decreasing order.\nAnswer: 7.8, 4\/7, 1\/3, -7, -502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 0*w**5 - 3*w - 8\/5*w**6 - 21\/2*w**2 - 1 + 0*w**4 + 0*w**3. Differentiate g(q) wrt q.\nAnswer: -192*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 - 2*h - 59. Let y(q) = -6*q**2 + 4*q + 103. Let l(p) = -7*f(p) - 4*y(p). Let t(z) = -7*z**2 - 4*z + 3. What is 5*l(k) - 3*t(k)?\nAnswer: k**2 + 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 3268*r**2 + 72640*r - 370944.\nAnswer: -2*(r - 14)*(r - 8)*(r + 1656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20645 + 20696. Calculate the highest common factor of p and 9435.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isqsqpqpxipssss. Give prob of sequence xi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2b55b80 (base 13) to base 7\nAnswer: -226044051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6276, 12475, 18592, 24585, 30412, 36031?\nAnswer: 41400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/16, -3\/2, 0.\nAnswer: -3\/2, -1, 0, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x = -3. Let g be 2\/6*18\/6. Is x > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32\/12)\/(22\/18 - 1). Let k(p) = 6*p**4 + 11*p**3 + 5. Let u(c) = -15*c**4 - 27*c**3 - 12. Let q(d) = x*k(d) + 5*u(d). Factor q(v).\nAnswer: -3*v**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20829?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 4:20 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2. Let j(p) be the second derivative of 110*p**4\/3 - p**2 - 71*p. Calculate q(j(n)).\nAnswer: 193600*n**4 - 1760*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -121020102 (base 3) in base 16?\nAnswer: -2e3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -822, 5, -98, 7\/5, -0.2 in descending order.\nAnswer: 5, 7\/5, -0.2, -98, -822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = 0. Let a(n) = n**2 + 4*n + 5. Let m be a(-4). Solve h*w = -w - m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) - sqrt(19)*-1*-4 - sqrt(19))) + sqrt(38)\/sqrt(2)*-6.\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 49253 = v, 2*w - 46725 = -3*v + 2532. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -467*r - 2246. Is 46 a factor of l(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807982874 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 910 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1589907?\nAnswer: 3, 11, 48179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3)\/(-16) + 7720318\/115552 + -7?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 - 1. Let p(k) = -k**3 + 5*k**2 - 3*k - 5. Let w be p(3). Suppose w*a + 41 = 73. Is i(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171 and 604?\nAnswer: 103284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4499 + -54003?\nAnswer: -53996.5501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*n - 3*n + 56, 3*n + 112 = 2*g. Suppose 0*a + g = 2*a. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v + 200 = -141 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14514452321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -51*r. Let i(o) = 59*o. Let k(c) = 6*i(c) + 7*n(c). Let a(l) = 2*l - 2*l + 12*l**2. Calculate k(a(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 182237 and 6622.\nAnswer: 188859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5202*x - 5287*x + 1105 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(1539) + sqrt(1539)) + (sqrt(1539) - (sqrt(1539) + -1)) + sqrt(1539) + 1 + ((-3 + -1*sqrt(1539))*-3*6)**2 + -3.\nAnswer: 17415*sqrt(19) + 501551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2800*z - 2856*z = -14952. Calculate the remainder when 814 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -18*h. Let k(x) be the third derivative of -x**5\/60 - 2*x**3\/3 - 4*x**2. Let i(a) be the first derivative of k(a). Give i(w(q)).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8617*k + 194112 = -291*k - 397034 for k.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372588 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o. Let x(w) be the second derivative of -35*w**4\/12 + 66*w - 1. Determine x(z(b)).\nAnswer: -2240*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146\/229 + -24595\/7328. Calculate the common denominator of h and -97\/40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 5)*3\/(45\/190) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.21 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*q - 23*q**2 - 53*q)*(2*q**3 - q**3 + 0*q**3).\nAnswer: -23*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -113, 4, 5, -39 in decreasing order.\nAnswer: 5, 4, -3, -39, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2848?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/m)**(5\/4)\/(m\/m**(3\/5)*(m**(3\/7)*m*m)\/m) assuming m is positive.\nAnswer: m**(-64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131195.36*0.7.\nAnswer: -91836.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13309471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/(-18)) + (-672)\/(-1617)*22?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 - 5*n - 2. Let x(r) = 5*r**2 + 91*r + 97*r - 194*r - 2. What is 5*x(a) - 6*z(a)?\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21221 (base 3) in base 4?\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 7) to base 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 9. Suppose 0 = -3*n - 5*t + 49, 2*t + 0*t = -n + 18. Calculate c(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f. Let w(v) = -3*v**2 - v**2 + 13*v**2. What is z(w(i))?\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 162*m = 161*m + 48, 4*m = 12. Suppose 0 = -o - 4*p + 10, -5*o + 4*p = -0*o - 26. What is the remainder when i is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1745142 divided by -249306?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*i - 3*q, i + 4*q + 5 = 6. Let m(b) = 3*b + 6. Let r be m(-4). Sort r, 1, i.\nAnswer: r, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -114 + 68*k + 114 + 0*k - 5*k + 0*k + (0 - 4*k + 0)*(3 - 5 + 3).\nAnswer: 59*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1906*a**3 - 5*a**2 - 33 wrt a.\nAnswer: -11436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-1*-6)\/(sqrt(12) - (sqrt(108) + sqrt(108)*1)).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 5*l - 11, -4*g + 14 = -10*l + 5*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -144805 - 73824?\nAnswer: -218629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0134 - 0.0134202. What is n rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67198044559 a composite 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 s be 34*(-65)\/(-4890) - (-2)\/(-3). Let m = s + -1325\/5216. Calculate the common denominator of 33\/16 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k**2 + 2. Let b(o) = 6*o**3 - 28*o**2 + 15*o - 24. Let h(a) = b(a) + 3*g(a). Determine h(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82.4 - -82.049. Let w = -771638.351147 - -771638. Let k = l - w. What is k rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**3 - 4*w - w**3 + 0*w**3 + 6*w**3 - 3*w**3. Let j(c) = c. Give -4*j(h) - v(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*s - 24, 2*d - 6*s = -11*s - 12. Suppose -l - d*n - 1714 = 0, 0 = -4*l + 6*l + 4*n + 3440. Round l to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f*j**2 + f*j - 3*f + 4805*j**4 + 87*j wrt j.\nAnswer: -6*f + 57660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*r = 180*r - 6, -l + 3*r - 5 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b26a3 (base 14) to base 7.\nAnswer: 11135563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qooooooo. Give prob of picking 4 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 18.3, 32?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) -2 (c) 5\/8638\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 23*x**2 + 19*x + 12. Let i(f) = -f**2 - 12*f + 23. Let k be i(-14). Does 6 divide u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/9279 - 81445\/18558. What is the common denominator of (4 - 86\/(-28))\/3 and n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27461608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 1. Let n = -41.3299 - -43.329903. Let o = n + z. Round o to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-36))\/((-3468)\/406912)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 1. Let r = -15 + 20. Calculate x(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 77616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 17 = -19. Suppose -f - 3*p + 7 = 0, 0 = 2*p - 1 - 5. Calculate the remainder when 6 is divided by ((-1)\/f)\/((-3)\/u).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t + 4 = 0. Let u(y) = -y + 6 + 0*y - y + t. Let o(r) = -r + 4. Determine -7*o(v) + 4*u(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b - b + 0*b - b. Let k = -1012 + 1016. Let m(s) be the first derivative of -2*s**2 + 10. Calculate k*m(l) - 3*h(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141*h*n - 652*h + 1865*n + 352 with respect to h.\nAnswer: 141*n - 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-30)\/(-12)*2\/10. Suppose j*o + 15 = 69. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*4\/72 - 0. Let l = 2\/21 - -4\/21. What is the closest to 1 in -0.2, c, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 1, d: 1, a: 1, p: 1}. Give prob of sequence de.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + h**2 - 4*h - 1. Let o = -2 - -7. Let p = -6 - 2. Let i = o + p. What is x(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15 - 4 - r**2 + 2 + 12*r. Let k = 102 - 93. Is b(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6942241*l**2 - 3557555*l.\nAnswer: 13884482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2052 + 1990865*v + 690 - 1990861*v in the form t*v + d and give d.\nAnswer: -1362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5175 (base 8) to base 7.\nAnswer: 10554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*d - 302 - 34222 = 761*d for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.1918 rounded to 0 dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*t = 142 + 425 + 1022 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 23*z**3 + 8046*z**2\/7 + 100425*z\/7 - 2500\/7 = 0.\nAnswer: -25, 4\/161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*m**5\/7 + 64264*m**4\/7 + 129026026*m**3\/7 - 129202792*m**2\/7 - 225940182*m\/7 - 64545156\/7 = 0. What is m?\nAnswer: -4017, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 + 29*a**2 + 5*a - 125. What is u(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 3. Let m be l(0). Suppose 0 = m*u - 3*o, 3*o + o = 16. Suppose -u*w = -w - 66. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1860*f**2 - 1226.\nAnswer: -3720*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 1:56 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6973?\nAnswer: 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19681 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c - 1. Let x be m(-1). Solve -x*r = -2*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6017600)\/12)\/(-4)*-3. Round y to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3\/9 + 96*s**2 + 28672*s\/3 - 1605632\/9 = 0.\nAnswer: -224, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3409 - -3.6591. Which is the closest to 0.3? (a) y (b) -10 (c) -1\/8 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1 - 2 + 4 - l**2 + 2*l - 4. Let c be p(2). Suppose 3*d - 8 = 1. Put -5, c, d in increasing order.\nAnswer: -5, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvevvvvvve.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*b, -25 + 6 = -2*o - 3*b. Let g(y) = -y**2 - y - 2. Let v be g(-2). Sort -5, o, v in increasing order.\nAnswer: -5, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-42))\/(9\/(-14)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**3 + 1892308*t**2 - 57*t + 166223032 wrt t.\nAnswer: -3*t**2 + 3784616*t - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 1100682.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d - 9. Let m(o) = -64*o + 9 + o**2 + 55*o - 3. Let j be m(9). Let f be h(j). What is the highest common divisor of 36 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -111\/2. Let t = -4.8 - -5. What is the closest to t in 3\/7, 4, c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117 + 16*s + 117 to the form t + c*s and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.6 + 33.3. Let o = c - 16. Let a = o + 4.3. What is the second smallest value in -0.4, a, 10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 1332*c + 147852.\nAnswer: 3*(c + 222)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 6*v - 22. Let t be z(-16). Let p = t - 133. What is the third smallest value in 0, 0.2, p, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 2. Let r be 18\/4 + 1\/2*-1. Let p(t) = 2*t - 3. Determine r*g(m) + 3*p(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 19 = 25*l + 21*l - 49*l, 13*l = j + 31 - 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (29\/145)\/((-1)\/15). Let c(a) = 9*a**2 + 3*a + 3. Let f(l) = -8*l**2 - 2*l - 2. Determine j*f(k) - 2*c(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12918375829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10717.22 - -10580. Round a to zero dps.\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.3 + -18. What is the fourth biggest value in 6, -1, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, 8, 11, 14, 17?\n\"Answer: 3*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*i + 5, 5*i + 2*n = 5*n + 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 u when three letters picked without replacement from {q: 2, i: 4, z: 1, u: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-2 - 9 - -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/24 + (-23)\/4. Let b be (-3*1)\/((-9)\/k). Let c be 5 + 1*b + 2. Solve -3*r = c - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-133)\/70)\/19)\/(-5*12\/1950).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 + 96*z**2 - 672*z + 1280 = 0. What is z?\nAnswer: 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 83*w - 251. Give p(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6404?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 49, 67, 77, 73, 49?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 3}. Give prob of picking 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**5 + 0*h**5 + 0*h**5)*(-2612 + 767 - 5432).\nAnswer: -7277*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243054818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7153*h - 14 = -o - 7155*h, -2*h = -1 - 7 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 1549519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 5*k - 2*k - 3 + 2*k. Let d be u(-3). Let p be (16\/d)\/((-8)\/(-12)). Solve -p*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 607594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p - 7. Let u be t(6). Suppose 0 = 4*k - k + 3*g - 147, 0 = -u*k + 4*g + 227. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3343 - 0.0657. Which is the second biggest value? (a) -17 (b) -3\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -29*a - 1815. Determine k(-64).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*j**3 - j**3 + 2*j + j**3)*(-1 + 1 - 3)*(55*j - 135*j + 41*j) as x*j**4 + t*j**3 + k + b*j + f*j**2 and give f.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1819\/3 or 606?\nAnswer: 606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 + -65. Let r be (2\/(-7))\/h + 8763\/21. Let g = 4590\/11 - r. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14124, -13967, -13752, -13479?\nAnswer: -13148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y. Let b(q) be the first derivative of 0*q + 0*q**2 + 2\/3*q**3 + 12. What is b(o(m))?\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:55 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 5 in ascending order.\nAnswer: -6, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/30 - (1 + 0)*1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**4\/4 + 8*a**3\/3 + 4*a**2 - a + 2. Let k be h(-6). What is the greatest common factor of k and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722813?\nAnswer: 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 14*x**2 + 13*x + 10. Determine b(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(4\/2)*(0 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129 + -115.9. Round x to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 0*f + f - 4 + 7 - 5*f**2 + f**3 + 2. Give z(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(64)\/sqrt(2) - sqrt(32)) + sqrt(32))*-3*-1.\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -368520 - -2?\nAnswer: -368517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 12*f - 15. Let p be x(10). Suppose -p*w = 3*t + 53, 0 = -5*t + t - 4. Let z be (-4)\/w - 11\/15. What is the nearest to -1 in 1, z, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/54, -0.095, -5 in descending order.\nAnswer: -1\/54, -0.095, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68.03 + -68.03. Put 4, 32, r in decreasing order.\nAnswer: 32, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*x + 22, 2*u + 4*x = -x - 31. Let k = u - -25. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 949.9273 years in decades?\nAnswer: 94.99273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*a**2 - 3 - 42*a**2 + 20*a - 16*a as s*a**2 + t + d*a and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 12:21 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.08 (b) 3\/5 (c) 1\/4 (d) 4 (e) 0.91428 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 12*n + 3. Give w(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 2222492.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -350 - -352. Suppose 2*n = -7*x + 6*x + 8, 15 = 3*n + 3*x. Let 1\/5*p + 1\/5*p**n + 0 - 2\/5*p**a = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11880)\/(2460\/(-41)))\/(-2).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -969 + 3255. Let i = 22787\/10 - f. Find the common denominator of -1 - -2 - 89\/(-14) and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 546 and 494364.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x - 49 = 24*x, 2*x - 18 = -38*w + 33*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578862.\nAnswer: 2, 19, 41549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -2 + 2 - -1) + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 99 - 210 + 111.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 23*f - 359. Let h be s(17). What is the nearest to -1\/2 in h, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285040?\nAnswer: 2, 5, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.03543 rounded to one decimal place?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 - 22*f + 4. Let x be h(-10). Find the common denominator of ((-9)\/x)\/(1\/(4\/12)) and -15\/154.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -66511, -66514, -66517, -66520?\n\"Answer: -3*j - 66508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f*f*f**(-5)\/f*f)\/f*f*f*f)\/f*f\/(f\/(f\/f**(-27)))*f*f*f)\/(f**8)**(2\/19) assuming f is positive.\nAnswer: f**(573\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -5, 3, 2\/25 in ascending order.\nAnswer: -5, -2\/9, 2\/25, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k - 4. Calculate the remainder when v(-3) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 6 + 4 - 6*f**2 + 5 - 3*f**3 + 3*f.\nAnswer: -3*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/8284 and 71\/6468.\nAnswer: 13395228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = o + 13. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/11 and (-20)\/(-30) + (-197)\/12?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -261*f**3 - 5. Let o(x) = 13572*x**3 + 261. Determine 261*l(q) + 5*o(q).\nAnswer: -261*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 w when four letters picked without replacement from wqwwwwqqqwqw?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1050\/11 - -8829\/88. Calculate the common denominator of 2\/4 + 120\/112 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 9.86, -329?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122102111212021 + -1?\nAnswer: 122102111212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1, -2891, 4, 0 in descending order.\nAnswer: 26, 4, 1, 0, -2891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 165 + 314. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 3 + -34 + 43.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*0\/(-4 - -3). Suppose -y + 0*y + 3 = s. Solve -r**4 - 5*r - 3*r**3 - 2*r**4 + y*r**2 + 4*r + 4*r = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1)\/(-16 + (9 - -5)). Solve 0 = 3*l - 4*j - 3, a = l - 2*j - 3 + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 14, 2, -1.05?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/54 and 23\/60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 3*r - 2. Let c(y) = -11*y - y**2 - 4 + 3 + 12*y. Let p(l) = 2*c(l) + w(l). Let b be p(3). Solve b*v = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 7*h - 87. Suppose -h = -3*y - 4*q, -3*y = 5*q - 8 - 26. Solve 13 = -y*m + 5*m + 3*o, m - 17 = -5*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-5) + 4\/(-10). Suppose u*h - 4 = -2. Let z be (-16)\/(3 - 4 - h). Solve 0 = -5*f + 3*q + z, -5*f + 10*f + 3*q - 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72813978 and 837.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*m - 8 = 7*m, 3*q + 4 = 2*m. Put 63, q, -5, 5, -16 in decreasing order.\nAnswer: 63, 5, q, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69653 + 69652 + 69659 - 278616 - 931*z**2 + 69652.\nAnswer: -931*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199016723?\nAnswer: 23, 827, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 337858716 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t - 55*t - 748 = -190*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9522 - -9526. Let p = -2 - -3. Suppose p - 27 = -2*w + c, 0 = -5*w + 5*c + 70. Calculate the greatest common divisor of w and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h - 23 = -154 - 21. Solve -4*v + 20 = h*n, -494*v = 2*n - 495*v - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477201 rounded to the nearest one thousand?\nAnswer: 477000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, o: 1, x: 7}. Give prob of picking 3 b and 1 o.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*s - s. Suppose -s = -3*a + 6. Suppose -i = -2*x + 12 + 13, a*x - 53 = -i. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -11*b**2 - 26*b + 27. Let h(l) = -6 - 7*l**2 + 9 + 15 - 17*l. Let j(u) = -8*h(u) + 5*z(u). Is j(-9) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 389 + -384. Which is the fourth biggest value? (a) -2\/13 (b) 2 (c) -0.1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 8:43 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - w = -0*w + 21, -3*w = -5*i - 22 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 26. Calculate the highest common factor of 30 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*a - 526 + 526 + (-4 + 1 + 1)*(5*a + 2 - 2) + 4 - 4 + a to the form m + d*a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - r - 18. Let b be 18\/3*4\/r. Suppose b*n = 5*n - 2. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 699, 3, 4 in descending order.\nAnswer: 699, 4, 3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780*c + 81*c - 33722 = -1182*c - 7163 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101201020211 (base 3) to base 8.\nAnswer: -633661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 345346, 1381570, 3108602, 5526436, 8635066, 12434486, 16924690?\n\"Answer: -n**3 + 345410*n**2 + n - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + 11*t**2 + 2*t - 12. Let g be j(5). Let s(a) = -a + 34. Let h be s(g). Suppose -h*l + 186 = -8*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 4*i = -4*i. List the prime factors of (i - -3) + -7 - (1 - 42).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27832981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) 0 (c) -4\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 g when four letters picked without replacement from {i: 7, g: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/1902 + -1441\/27579. Suppose -29*w + 15 = -26*w. Suppose -2*g - 4 = -b + w, -5*g = -4*b + 21. Is b not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2430)\/(-495) + (-5)\/(-55))*4\/1240\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, 2, -62, -5\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 46. Let v(k) = k**2 - k + 1. Let z be v(2). Suppose 3 = -0*f + z*f. Solve o - 20 = -5*q, q = 2*o + u + f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1419 - -1416. Let k = 6 - 10. Let g be (-1)\/(-2)*(-8)\/(-1 - 3). Which is the closest to g? (a) k (b) n (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 17. Let v be t(-8). Let k(o) = 5*o**3 - 2*o**2 + 1. Determine k(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/21, 2\/11, -349\/2, 3 in decreasing order.\nAnswer: 3, 2\/11, -2\/21, -4, -349\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 17*y - 20. Let o(c) = -18*c + 23. Give -6*i(n) - 5*o(n).\nAnswer: -12*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, 5, 1 in descending order.\nAnswer: 13, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -97, -5, 5 in ascending order.\nAnswer: -97, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h**3 - 70*h**2 - 206*h + 9. Determine f(-3).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaaaqiiaqaq. What is prob of picking 4 a?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/6 - 8\/(-384)*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 l when three letters picked without replacement from bablllblabl?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3708, 3635, 3510, 3333, 3104, 2823?\nAnswer: 2490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, w: 2, g: 4, x: 8}. What is prob of sequence xkx?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 48. Let t be 2*p*3\/(0 + 3). Suppose -4*k = 3*y - 327, 4*y = 5*k - t*k + 410. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 7. Let u be o(2). Let x = -4 - -4. Let a(m) = m**3 - 3*m**2 + 2*m. Let h be a(2). Solve h = -x*p - u*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**0*c)*c)**(2\/7)*c**(-1\/5)\/(c\/c**(2\/15)) assuming c is positive.\nAnswer: c**(-82\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -232593, -930371, -2093335, -3721485?\n\"Answer: -232593*z**2 + z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65430 divided by -65430.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.6, -0.5, 4, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 24328*l**2 - 137323*l**2.\nAnswer: -112995*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n + 2. Let r be q(3). Let m be r\/(-3) - 1\/3. Factor 3*u**4 + 2 - 8*u**3 - 2*u**m + 12*u**2 + u**4 - 8*u.\nAnswer: 2*(u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498 a factor of 25391100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4437\/(-765)*((-30)\/3)\/(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.67 from -30.\nAnswer: -32.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 7 = 2*i, l - 1 = 2*l - 2*i. Let j = 44 + -44. Suppose v + v - 2 = j. Calculate the smallest common multiple of v and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 37 = -2*i, f - 28 = -2*i + 27. Let x(y) = -y**2 + 24*y + 44. Let w be x(i). Let v(l) = l - 2. Determine v(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4883, -19469, -43767, -77771, -121475?\n\"Answer: m**3 - 4862*m**2 - 7*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/9 + 65152*n**2\/9 + 130288*n\/9.\nAnswer: 4*n*(n + 2)*(n + 16286)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3962, -3907, -3860, -3827, -3814, -3827, -3872, -3955?\nAnswer: -4082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -71\/2498 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*y = -10, 2*v + 4 = -2*y - 0. Let j = 5 - v. Find s such that -1\/3*s**j + 0 + 0*s - 1\/3*s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.77? (a) 1\/2 (b) -69 (c) 0.0142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1 + (-4)\/(-7). Suppose -9*z - 15 = 3*o - 6*z, -3*o - 15 = -4*z. Sort s, 3\/5, o, 2.\nAnswer: o, s, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:21 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-2) + (75\/(-15) - -9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: What is the highest common factor of 36 and 1284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -172400965.52912 - -0.41\nAnswer: -172400965.11912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21012 + -10102?\nAnswer: -31120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 217138121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**2 - 2*b**2 + 9*b**2 + 0*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.887 + -15?\nAnswer: -32.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 1\/4, -4\/5, -0.044, -2 in decreasing order.\nAnswer: 1\/4, 0.03, -0.044, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10372883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 3200571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43573866 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-9)*t)\/t)\/(t*t**(-1\/8)))\/(t\/t**(2\/3)*t)**(-2\/19)*((t**(-2\/11))**15)**(2\/5) assuming t is positive.\nAnswer: t**(-54301\/5016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**4\/8 - 7*v**3 - 147*v**2 - 2*v + 32. Let b(i) = 0. Calculate i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 52 + 6 + 0.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34797670, -69595338, -104393006, -139190674, -173988342, -208786010?\nAnswer: -243583678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5505 is divided by 371.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 2. Let q(y) = y**2 - 4*y. Let r be q(10). Suppose 2*f + r = o*f. Solve -c - 5*j = 9, c - 4*c - 3*j - f = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide ((-2539502)\/(-1064))\/(3\/(-4) + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.9 - -0.4. Let q = z + -10. Let p = 8.29959 - q. Round p to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2199*r + 3450. What is m(2)?\nAnswer: -948","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/1)\/54)\/((-112)\/168)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {f: 7, r: 1, u: 11}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109571 is divided by 1387.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1399 + 1513. Calculate the highest common factor of 144 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 882 and 17514.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*sqrt(125))**2*1*-6 - sqrt(25)\/(2*sqrt(720))*4).\nAnswer: sqrt(5)\/6 + 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 + 2*a - 6*a + 9*a + 4*a.\nAnswer: -6*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3. Suppose g = -4*x + l - 12, 3*l + l - 16 = 0. Let z be (x - 523)*(1 - -3). Round z to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/21 of a week in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 + 72. Sort -2, -4, 1, j in decreasing order.\nAnswer: 1, j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 20 = 0, 6 + 0 = -v - 2*h. Let i(b) = b**2 - 6*b - 4. Let k be i(7). Suppose t - v - k = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 327830 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t + 12 = 0. Suppose -t - 2 = x. Let n be (3550\/x)\/(-5)*-60000. Round n to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/(-14) - 20\/(-70). Suppose 0 = -4*y - 0*y - 4*r - 8, h*y + 1 = 3*r. Let t be 8700\/(-15)*(y + 0). What is t rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4500 divided by 60?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2238 + -2238.1. Which is the second smallest value? (a) 4 (b) f (c) 0.7 (d) -1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26166 and 3.3?\nAnswer: 86347.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2412 = -0*u. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-24)*y\/y**(-2\/29)*y)\/(((y**(1\/6)*y)\/y)\/y**28))**(-28) assuming y is positive.\nAnswer: y**(-14378\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8042*d + 7938*d - 624 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37, 74, 111, 148, 185?\n\"Answer: 37*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -36, -57, -80, -105, -132?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(-3\/7))\/(g\/(g**(-12)*g)) assuming g is positive.\nAnswer: g**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -88954848 divided by -9\nAnswer: 9883872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 127202752 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**3 - 2*t + 1. Let x be q(1). Suppose 13 - 4 = 3*j. Suppose j = d - x. What is the highest common factor of 6 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0299, -8174, -1\/9 in ascending order.\nAnswer: -8174, -1\/9, 0.0299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25.06306 and -0.9.\nAnswer: 22.556754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*p**3 + 5*p - 5*p + 147*p**3 + 114*p**3.\nAnswer: 427*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -109 + 9?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00373056553 to four dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9147, 18437, 27727, 37017, 46307?\n\"Answer: 9290*n - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 10*f = -11*f - 20, 0 = r + 2*f + 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97\/6 + 98\/9. What is the common denominator of a and -91\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -4 + -29 + 6 + 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 5, 16, 31, 50?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 f when three letters picked without replacement from {a: 2, o: 1, j: 1, s: 3, f: 1, e: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 2:39 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/6*(-1 - 33\/(-6)). Suppose -4*d + 2*d - 384 = 0. Let b = 357 + d. Calculate the highest common factor of n and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Suppose 2 = 9*f - 7. Put p, 2, f in decreasing order.\nAnswer: p, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*n - 123, -6*n = 3*d - n - 79. Let z = 40 + d. Let s = z + -23. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - 140\/(-34) - (1 - 150\/170). Let d(y) be the second derivative of -y**2 - 1\/3*y**3 + 13*y + s. Determine d(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 56668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 17850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 2, t: 1, h: 1}. Give prob of picking 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 + -51. Suppose 0 = 5*x + 2*b - 706, 2*x - 183 = -4*b + 93. Let z = x - r. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -248 + 4?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -55*6\/(-15) - 7. What is the closest to 2\/3 in -4, 2\/55, q?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 40. Let o be (24\/14)\/(4\/c). What is the tens digit of o*1*(-4)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 7*w + 4, 3*r - 4*w - 5956 = -5934 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101000111 (base 2) to base 12.\nAnswer: 10b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {a: 1, p: 3, q: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -61*s. Let c(j) be the second derivative of j**3\/2 + 5*j**2\/2 - 12*j. Let r(t) = t + 2. Let g(y) = 2*c(y) - 5*r(y). Calculate g(b(m)).\nAnswer: -61*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g, 4*g = 2*u - g - 8. Let s be u*(21\/6 + -3). What is the third derivative of -s*t**3 + t**3 - 13*t**2 + 14*t**2 + 3*t**3 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 - 243 + 2*t + 118 - 7*t.\nAnswer: -5*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + f + 24, 2*t - 2*f - 3 = 15. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1617*m. Let k(h) = 2*h**2. What is r(k(c))?\nAnswer: 3234*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 - -66) + (-55 - (16 + -1))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + 16b90?\nAnswer: 16ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3659.99997008 - -3660. What is x rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125704 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443 (base 9) to base 4.\nAnswer: -11223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -256*m**4 + 112*m**4 - 149*m**4 - 5*m**4 - 6*m**4 - 11*m**4 + (2*m**2 - m**2 + m**2)*(2*m**2 - 2*m**2 - 2*m**2).\nAnswer: -319*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 1443 = 11*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 195\/(-18) + 2\/(-12). Let r = 15 + g. What is the lowest common multiple of r and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*j + 5. Let u be ((-3)\/3)\/(20\/j). Let l = -11 - -5. Do u and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*r + 2 + 2*r - 2 + (-4*r + r + 5*r)*(-3 + 4 + 0) - 2*r + 2*r + r - 2*r + 2*r + r + 0*r + 2*r + r + (1 + 3 - 2)*(-7*r + 5*r - 5*r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*z + 37*z - 7676. Suppose -11*x + 9*x + z = 0. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -8*r - 12*r + 6*r. Let m(f) = -f. Suppose d - 13 = -1. Let l(k) = d*m(k) - j(k). Let q(a) = 21*a. Determine q(l(i)).\nAnswer: 42*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1492 + 1200 = -296*a - 268 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 16 = -6. Let c = -10 - x. Solve -3*q + 16 + c = -o, 3*o = -5*q + 19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104103 = -26*v + 16199. Let w = v + -522876\/113. Calculate the common denominator of 55\/9 and w.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**2 + 1693776*y - 11856628 = 0.\nAnswer: -423451, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 4393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -5, -6, -0.19, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (-4 - 0) + (-38 - -26).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z**2 - 113*z - 2. Calculate b(-15).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15588, 15583, 15574, 15561, 15544, 15523, 15498?\n\"Answer: -2*a**2 + a + 15589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 + 35. Calculate the smallest common multiple of c(0) and 3.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000395918 to 7 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.7 + 98.7. Let d = 118.19 - f. Let j = d - 30. Round j to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 - 73?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0) + 4\/(-3). Let v = -37 - 29. Let u be (3*(-4)\/v)\/(8\/(-8)). Put -5, u, n in decreasing order.\nAnswer: u, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4 - 278982*y**3 + 6485913027*y**2 = 0. Calculate y.\nAnswer: 0, 46497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(561)\/((sqrt(132)*2 - sqrt(132))\/sqrt(12)))\/((sqrt(108)\/(sqrt(18)\/sqrt(3) + sqrt(6)))\/sqrt(6))*5*2.\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j + 46*j = -4*c - 1, -4*j + 4*c = -28 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in 5, -0.07, 924, -10?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9740, 5, 0.1 in decreasing order.\nAnswer: 5, 0.1, -9740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 40361 = 3*p, 3*p + 2 = 20. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 = 2*a + 3*a, -4*f - 29 = 3*a. Let b be (-1*(1 + -6))\/1. Let n = 9 - b. Sort -2, n, f in decreasing order.\nAnswer: n, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3))**(-1\/6)*(t**2)**(-2\/17) assuming t is positive.\nAnswer: t**(9\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1. Let a(o) = -4*o - 56. Let x(l) = a(l) - 8*b(l). Let j be x(19). Let h = j - -127. Solve 0 = h*r - 7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/9 (b) -0.1 (c) -4768\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.889 and -87110?\nAnswer: -251660.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 9*w - 2137. Let g(a) = -a**2 - 4*a + 1069. Let d(n) = 4*b(n) + 9*g(n). Is d(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*j - 6 - 40, -20 = -2*j + 2*s. Let p = 51 - 128\/3. What is the common denominator of p and 3 - ((-231)\/j - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npx when three letters picked without replacement from {n: 1, r: 2, x: 3, p: 4, a: 3, w: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2385951388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -637491\/2635 + 4101\/17. Let n = z - -3\/31. Find the common denominator of n and (-7)\/(2\/((-12)\/(-22))).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1 + 3 + m**3 - 6*m**2 - 2 + 2*m - 9. Let y be o(6). Solve 0 = y*i + 5*c + 40, c + 4*c = i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25997843.\nAnswer: 23, 43, 97, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3349, -3, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {h: 1, n: 1, b: 1, u: 1, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01201 - -1.40201. Which is the third smallest value? (a) 5 (b) r (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115702085 to the power of 1\/3, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -23*k**4\/24 + 4*k**3\/3 - 11*k**2. Calculate the remainder when p(-2) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Suppose 2*f - 2*u + 4*u = -14, -5*u = f + 27. Let d be (f\/(-16))\/((-31)\/(-124)). Which is the nearest to 0? (a) 0 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/14 + 24554\/42. Suppose -i + 1183 = -2*j, 79*j - i + 2367 = 75*j. Let z = j + c. Which is smaller: -9 or z?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14651108 = 11*o - 13*o. Suppose o + 4164446 = 3*x. What is x rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4\/15 - 224*s**3\/15 - 1298*s**2\/3 - 2420*s\/3 = 0. What is s?\nAnswer: -55, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8138 - 8142. Let u = 0.02 + -4.02. Let j be 8\/(-6)*2\/(-16). What is the nearest to u in j, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 13*i - 2. What is the hundreds digit of z(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 5*c**2 - 4*c. Let h(f) = -f + 2. Let i(m) = m**3 + 5*m**2 - 5*m + 6. Let g be i(-6). Let j be h(g). Let n = j - 5. Give l(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -233, -4\/5, -1905 in descending order.\nAnswer: -4\/5, -5, -233, -1905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(72)\/(sqrt(6) + sqrt(6)*1) + (sqrt(972) - 1*sqrt(972)))\/(sqrt(6)*1*-5*-3))**2.\nAnswer: 2*sqrt(2)\/15 + 1801\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.17 + 2.57. Let o = m + -2. Which is the closest to 1? (a) -0.4 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.611649313 rounded to 4 decimal places?\nAnswer: 0.6116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80\/11*i**3 - 4\/11*i + 0 + 32\/11*i**4 + 34\/11*i**2.\nAnswer: 2*i*(i - 2)*(4*i - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-9))\/((-3)\/9). Suppose 0 = -h*q + 5*t - 10, 3*q - 4*t - 26 = -9*t. Let y(u) = -750 + 33*u**2 + 751 - 3*u - 32*u**2. Give y(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4069395l in millilitres?\nAnswer: 406.9395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -69 + (-1)\/1 - (-18 - -21). Let h = i + 73. Suppose 4*r = 4*b + 28, 4*b - 6*b + r - 11 = h. Are 2\/27 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 8*i - 14. Let b be r(4). Suppose b*y - 50 + 94 = 0. Does -23 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12124324*o**2 - 27856*o + 16 = 0. What is o?\nAnswer: 2\/1741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8700?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*y - 14 = 17, 28 = 4*p - 4*y. Let d = 4 + p. Calculate the remainder when 57 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*f + 8, -3*k = 2*f - 0*f. Let y be (-18*(-12 - (-726)\/60))\/(1\/(-5)). Solve -5*s = k*g + g + 35, -5*g - y = -4*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 2*d + 2*d)*(-7 - 2 + 6).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 4*c - 56 - c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 536095771 to the nearest integer?\nAnswer: 23154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 49*d = 25*d - 1079. Solve -d*r + 282 = 334 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 40*i**2 + 141*i + 6944. Give x(-39).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.070211 and 0.038.\nAnswer: 0.002668018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g = 61 - 19. Let k(b) = -20*b**3 - 3*b**2 - 6*b - 1. Is 10 a factor of k(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*1*11\/((-22)\/(-30))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/3, -0.1, -1206, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 208140 and 16328.\nAnswer: 849627480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, 9, 48, 123, 246?\n\"Answer: 2*t**3 + t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5933069?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55105, -55092, -55079, -55066, -55053, -55040?\nAnswer: -55027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 202295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:28 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*s**2 + 299*s**2 - 659*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -16167*z**4\/7 + 30504*z**3 - 609486*z**2\/7 - 96384*z + 23499 = 0.\nAnswer: -1, 1119\/5389, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6869447.\nAnswer: 13, 528419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a2 + -262?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 533*i**3*j**2 - 33*i**2*j + 3*i*j**2 wrt i?\nAnswer: 3198*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1215*i + 105. Is 10 a factor of y(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12298595 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33834433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 4)*(4*r**2 - r**2 - r**2)*(-61*r + 177*r - 66*r)*(1 + 2 + 3) as u*r**3 + v*r + o + z*r**2 and give u.\nAnswer: 2400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 128.5 and 80556.\nAnswer: 80684.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -0.8. What is the nearest to 1\/2 in -4, -2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4515)\/2064*((-168)\/49 - -4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 334658, 334973, 335288, 335603, 335918?\n\"Answer: 315*r + 334343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33398979 is divided by 158.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) 0.5 (b) -2\/309 (c) -0.1 (d) 4 (e) 461 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 - (0 + 2 + -8). Let d = -146\/207 - -6\/23. Which is the closest to 2\/9? (a) -4\/7 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10796*k**2 - 358*k + 7. Let d(u) = -53978*u**2 + 1789*u - 37. Let f(i) = 2*d(i) + 11*s(i). Suppose f(r) = 0. Calculate r.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(162)*-2)\/sqrt(6))**2*3.\nAnswer: 180*sqrt(3) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/735 and -181\/160230.\nAnswer: 160230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s*s**(-3\/5))))\/((s*s**3*s)\/s)*(s*s**0)**(-2\/19) assuming s is positive.\nAnswer: s**(-257\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + 2a?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 967 + -966. Let s = 1.9746 + 0.0354. Let d = -0.01 + s. Which is the second smallest value? (a) d (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22119\/(-1971) + (-2)\/(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(405\/230) - (-2)\/(-18). Suppose 2*m + 17 = h*m - 4*q, 0 = -m - 3*q + 23. Calculate the highest common divisor of m and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i = 44*i - 16. Let d(m) = 0*m**3 + 6*m**2 + m**3 + 4*m - 5 + 0*m**3. Determine d(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**6\/6 - 3*n**5\/4 - 5*n**4\/6 - 26*n. Factor s(j).\nAnswer: -5*j**2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -72022, -72426, -72828, -73228, -73626, -74022?\n\"Answer: f**2 - 407*f - 71616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = m. Suppose m*b + b - 3 = 0. Factor 12*c**5 + b*c**3 + 3*c**3 - 3*c - 15*c**5.\nAnswer: -3*c*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-20))\/((-1)\/(-8)). Let t = 330 - 131. Let v = -199.4 + t. Sort g, -0.2, v.\nAnswer: g, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g = -3*n - 561, 45*n - 18*n = 5*g + 26*n + 325 for g.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.043 - -2.957. What is the biggest value in z, -3, 0, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61152462 and 3024?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2024 (base 7) in base 3?\nAnswer: 222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -211 at least as big as -211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + -12524?\nAnswer: -12554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17944, 26, 92 in descending order.\nAnswer: 17944, 92, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135256315?\nAnswer: 5, 97, 278879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**5\/80 - 10*a + 1. Factor v(o).\nAnswer: -o**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 6\/(0 - -3). Let d be ((-18)\/(-8))\/(n\/(-4)). Suppose -3 = 3*j - d. Calculate the smallest common multiple of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -1, 1, -4 in decreasing order.\nAnswer: 3, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 79259*u**3 - 2*u**2 - 5*u - 4. Let a be z(-3). Round a to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14725 is divided by 54.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 17, 6, 1 in increasing order.\nAnswer: 0, 1, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 3:23 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 20*k**3 + 4*k**2 - 5*k. Is n(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 48 = -3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22779 (base 10) in base 14?\nAnswer: 8431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52, 56, 60, 64?\n\"Answer: 4*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4824 and 1005624?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o - 461*o + 15384 = -3958 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13438 at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 633 times -546\nAnswer: -345618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 20. Let d(x) = x**2 + 33*x - 154. Let g be d(-37). What is the lowest common multiple of u and (g\/(-10))\/(-4 + 363\/90)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2466 - 540. Calculate the lowest common multiple of 30 and w.\nAnswer: 9630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185609350 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2092429787 rounded to 5 decimal places?\nAnswer: -0.20924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*x**3 + 272*x**3 - 815*x**3 + 271*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.7 + -3.6. Let k be (33\/9 + -4)*1. What is the biggest value in v, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16089909443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2938, 657\/5, 2, -2\/9, 2\/9?\nAnswer: 657\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36\/53579 - 509965318\/589369. Let t = -865 - b. Let v = -8840 - -53173\/6. Calculate the common denominator of t and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -1. Let x(w) = -w**2 - 14*w + 12. Let u be x(-14). Let y be ((-11)\/(-4))\/(u\/240). Calculate the highest common divisor of y and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261160632 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 125484.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*h + 63*h - 1692329 = -114*h. What are the prime factors of h?\nAnswer: 36007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8580, -8577, -8574?\n\"Answer: 3*s - 8583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -8 - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7126275386*d**2 - 7126275388*d**2 + 2*d + 1 + 1 - 2*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -16483\nAnswer: -6593.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0*s + 0*s)*(-7 - 21 - 32).\nAnswer: -180*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8240, -3, 215 in decreasing order.\nAnswer: 215, -3, -8240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 6 - ((0 - 2) + 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x - 196 = 0. Suppose 0 = 3*j - 5*r - 153, -2*r - x = -5*j + 40. What is the remainder when j is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -949 = 92*k + 615 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84 - 91. Let l(f) = 3*f**2 + 1. Let m(r) = -20*r**2 - 2*r - 17. Let a(j) = 10*j**2 + j + 9. Let b(k) = -11*a(k) - 6*m(k). What is t*l(o) + 2*b(o)?\nAnswer: -o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52258 is divided by 256.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10430001.\nAnswer: 3, 463, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4507772 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(3 - (-3740)\/(-1244)). Let j = f + 161. Round j to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((856600\/(-24))\/(-25))\/(-1 + 32\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 + 18*a**2 + 12*a + 90. What is g(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 6) + 13 + -20 + 13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -583, -716, -841, -958?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 60\/156412537?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 130\/(-39)*(-6)\/2. Suppose 0 = -3*f - 2*f. Suppose -3*m - 2*z + p = f, -m = 3*z + 2 + 4. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a644 (base 12) to base 16.\nAnswer: -e914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6170670089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 279488349.8 - 0.526?\nAnswer: 279488349.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52162788?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 3*m**5\/25 + 3*m**4\/20 - m**3\/5 - 3*m**2\/10 - 12. Factor l(y).\nAnswer: 3*y*(y - 1)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 6*g - 3. Let r(q) = q + 1. Let y(b) = -6*r(b) + t(b). Let i be y(9). Let h = -8 - i. Calculate the remainder when h is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = 0, -3*f + 3 = -2*l + 26. Calculate the remainder when ((-124)\/(-62))\/(1\/18) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25460, 203494, 686734, 1627784, 3179248?\n\"Answer: 25434*y**3 - y**2 - y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g*s**3*x**3 - 4*g*s**3 + 6*g*s**2*x**2 - g*s**2 + 34*g*s + 636*s**3*x - 4*s**2*x**3 - 2*s*x**3 wrt s.\nAnswer: -42*g*x**3 - 24*g + 3816*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 158058481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5569.499ns?\nAnswer: 5.569499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2 - 6*h. Let g(z) = -8*z**2 + 7*z. Let k(j) = 7*f(j) + 6*g(j). Let q(v) = v**2 + 15. Give q(k(n)).\nAnswer: n**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/4 and (-12)\/4 - (-266)\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dxunnndnxmmd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 9*l - 5607*l**2 - 65 + 23*l + 5605*l**2. Calculate the remainder when 17 is divided by c(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeodrddfrdrdfdeefd. What is prob of picking 2 d, 1 o, and 1 e?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/r)\/((r**(-3\/10)\/r)\/r)*(r\/(r*(r\/((r*r\/((((r\/(r*((r*r*r**(-5))\/r)\/r*r))\/r)\/r)\/r))\/r*r))\/r))\/r**(2\/11) assuming r is positive.\nAnswer: r**(1113\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**4\/4 + s**3 - s**2 + 3*s - 2. Let u be j(-3). What is the second derivative of -u + 9 + 4*k + 0*k - k**4 wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + a + 17 = -a - 3*b, 128*a = b + 132 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 8. Let l be (1\/2 - 1\/2)\/1. Give x(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**3 - 4*h**2 + 5*h + 1. Let b(m) = -m**3 - m**2 + m + 1. Determine -4*b(w) + p(w).\nAnswer: -3*w**3 + w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**5)\/(p*p**(-6\/7))*(p*p*p*p**(-9)*p*p)\/(p\/p**8*p)*(p**0\/p)**(1\/7)\/(p*p*p\/p**(-1))**26 assuming p is positive.\nAnswer: p**(-667\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 c when four letters picked without replacement from {m: 3, c: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/9 + 158*h**3\/9 - 3118*h**2\/9 - 158*h\/9 + 1040\/3 = 0. Calculate h.\nAnswer: -1, 1, 39, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.900701406 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140288 and 1370?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 8. Suppose -19 = -j + 3*x - 5, -w*x - 10 = -j. Let i be 3\/(1 - (-1)\/(-4)). What is the highest common divisor of j and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 190 = 2*i, -5*i = -4*i - 2*s - 86. What is the units digit of 5\/i*4 + (-3693)\/(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7037 divided by -9?\nAnswer: 7037\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -416607463*f**4*g + 7294511*g + 2 wrt f?\nAnswer: -1666429852*f**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -35\/3, 4, -1\/615?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 4*t + 812*t**3 + 1132*t**3 - t - 1948*t**3 + 5*t.\nAnswer: -4*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*g - 27, 4*w - 3*g = -w + 96. Let v = -11 + w. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19511568 divided by -1\nAnswer: -19511568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/90 and 119\/6340.\nAnswer: 57060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130 * 0.1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 80 - (266 - (130 - 71))\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5 = 5*m, 5*m = 6*m - l + 1. Solve -87 = 29*f - m*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 40 = 5*s. Let a be s\/(25\/40) + 5. What are the prime factors of (0 - 1)*-2*(24 - a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -34. Suppose 0*t = b*t - 76. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 464 + 0*v + 0*v + 310.\nAnswer: 2*v + 774","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81982 divided by 12.\nAnswer: -40991\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r + 6. Let i be p(-2). Let j be 14 - i - (-48)\/2. Suppose -4*b + 5*b - j = -4*x, 3*x - 11 = b. Put b, -5, 17 in decreasing order.\nAnswer: 17, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 206*z**5 + z**2 + 42*z - 8 wrt z?\nAnswer: 4120*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/20 - 29\/(-290). Suppose -4*u - 2*p + 114 = 0, a = -5*p + 15 + 10. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -143, -221, -303?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-80) - 1)*8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - 6. Let w = n - -8. What is the second biggest value in -5\/6, w, -5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 23*m**2 - 44*m + 174. What is w(-25)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4 = 4*m, 4*r - 5 = -m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 3*y**2 + 0 + 1\/24*y**4 + 5\/6*y**3 + 0*y. List the prime factors of k(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 1474 = -6482. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8112581.1 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -2\/5*t - 7\/20*t**4 + 4\/5*t**3 - 5 - 3\/10*t**2. Factor n(a).\nAnswer: -(a - 1)**2*(7*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/509034032 and -149\/18.\nAnswer: 4581306288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*t + 7. Let v(j) = -5*j**2 - 7*j + 16. Let z(c) = -9*c**2 - 14*c + 31. Let a(r) = -11*v(r) + 6*z(r). List the prime factors of a(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = 2*h. Let m be 2 + (-2)\/2 - h. Suppose c - 1212 + 1209 = 0. Solve 4*v - m = -3*i, -v + 3 = -c*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + 2 + (-12 - (-15 - -6)) - -68.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.0571739 + -1.0608. Round a to 5 decimal places.\nAnswer: -0.00363","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(2\/3)*b)\/b**(-7)*b\/(b*b\/(b\/b**(2\/3))*b)*(b*b**(-9))\/b*b*b*(b\/(b\/b**0))**45*((b**3*b)\/b)\/(b\/(b\/(b\/(b*b**8)))) assuming b is positive.\nAnswer: b**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13905.85998 rounded to the nearest ten?\nAnswer: -13910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (6 + 6) - (1 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000110 (base 2) to base 13.\nAnswer: -30b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 + -1011011011100?\nAnswer: -1011011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.8 + -1.6. Let p = l + -0.2. Let n = -134 - -672\/5. Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(500) - (sqrt(500) + -1))*-3 + (0 + sqrt(500))*-6)**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4 - 687*i**3 - 1377*i**2 - 689*i = 0.\nAnswer: -1, 0, 689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -113 - -122 - (1 + -2 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-21)\/f)**(-2\/39)\/(f**7\/f)**(-4))**(-5) assuming f is positive.\nAnswer: f**(-4900\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/133)\/(4\/14).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t + 3177774 - 3177774 - 3*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10272318 and 4284.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 11. Which is greater: -1\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67351.\nAnswer: 47, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q + 16. Suppose -q*t = w + 12, 3*w - 55 = -2*w + 3*t. Solve 4*i + 4*z = w, 5*i + 12 = 3*z - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1335572, -4, -13 in ascending order.\nAnswer: -1335572, -13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 292693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from {e: 3, a: 2, u: 5}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -73.14076 and 1?\nAnswer: -73.14076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/21)\/((-10)\/35))\/((-60)\/(-240)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.05 + -1. Let z = t + 1.95. Let a = 0.3989 - 0.3789. Which is bigger: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 8 - 162*y - 9 as t + m*y and give m.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10152*p + 10166*p + 98 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -10*c**2 + 2*c + 4. What is t(2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 6. Let q be f(-3). Let g = 163 + -163. Put q, g, 4 in ascending order.\nAnswer: q, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3408052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 112 + 5*f**2 - 112 + 0*f + 2*f**4 - 2*f**3 - 2*f as k + s*f**4 + m*f**3 + q*f**2 + l*f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, y: 1, i: 1, q: 1, m: 1, r: 1}. Give prob of sequence rimy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -11*q + 8. Let x(z) be the first derivative of -2*z**2 + 3*z + 691. Suppose 2*n = 3*n + 17. Give n*x(c) + 6*r(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(36)*-5) + (sqrt(4)\/sqrt(2) + -1 + 6*(sqrt(2) + 0))**2.\nAnswer: -211*sqrt(2)\/15 + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 6*d - 5*d + 29, -5*g = -4*d + 105. Let j = g + 28. Let s = j - -5. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732899163.244 - -0.018?\nAnswer: 1732899163.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 507 = -2*f, 0*n - 3*n + 513 = 4*f. Let z = -103 + n. Suppose 4*o - 32 = z. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253.893 + -254. Let j = r + 0.10641. Round j to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211002012111 - -2?\nAnswer: 211002012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/6 and -7\/846.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*f = 712*f + 88 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123.75 - 123.8. Which is the second smallest value? (a) h (b) 4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**3 + 585*v + 505 with respect to v.\nAnswer: -6*v**2 + 585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*s - 12, -4 + 0 = -2*s. Let m(v) = -3*v**2 + 17*v. Let g(l) = 6*l - l**2 + 5*l - 5*l. What is h*m(w) - 11*g(w)?\nAnswer: -w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 58086 (base 11) to base 5\nAnswer: 10141242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -20, -8*k - 2*i = -3*k - 5. Put 2, -4, k, 0 in increasing order.\nAnswer: -4, k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4895 and -137089\/28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -721.213 times 2\nAnswer: -1442.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t = 2*s + 9, -778 + 783 = -2*t + s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 5. Let x(g) = -1. Let n(r) = 3*l(r) + 15*x(r). Let t(a) = -3*a**2. Calculate n(t(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1073175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 15*p**2 - 35*p**2 - 1 + 19*p**2. Let i(h) = -3*h**3 + 6*h**2 + 6. Let n be (3 - 1) + 4\/1. Give n*l(d) + i(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 0, -13*m + 6 = c + c - 15*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -11. What is the second smallest value in 5, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6.96. Let n = s - -1.04. Which is the smallest value? (a) -1\/3 (b) -6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.03, -1, 14, -0.1, 0.5 in increasing order.\nAnswer: -6, -1, -0.1, -0.03, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x*x**(-31)*x*x*x)\/x)\/x)*x)\/x*x**(-18\/11) assuming x is positive.\nAnswer: x**(312\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5430010 = 3*o - 5*x, o - 4*x + 718859 = -1091149. What is o rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 536 - 541. What is the closest to 1\/4 in 0.6, d, -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1829*s - 891*s - 917*s = 525 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.000607.\nAnswer: 0.002428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -96. Let k = o - 25. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5840 divided by 146?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/90*2\/3 + (54 - (-408636)\/(-7776)).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05848 + 0?\nAnswer: -0.05848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) -1\/4 (c) -1 (d) -653 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41327, -44565, -47803, -51041, -54279, -57517?\nAnswer: -60755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 626850 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 243*r - 209*r. Solve 16*y + r = -89 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (0 + 0 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6 + 4. Suppose -21 = 5*y - v*s + 3, 4*s = 3*y + 6. What is the units digit of 2\/y + (-4)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 6*u**2 - 6*u - 13. Let z be m(7). Let l be (-1020)\/(-80) + z\/8. Let a = l - -16. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 44) + (-45 - -24) + 35\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**5\/60 - 4*b**2. Let k(d) = d - 2 + 2. Determine u(k(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 217.3 or -2\/3?\nAnswer: 217.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 555 = 489. Suppose -k*a = -345*a - 8499. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 342181.50795.\nAnswer: 342185.50795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**14*x)\/x)\/x)\/(x\/(x**(-17)*x*x)*x*x))\/(x*x**(10\/9)*x)**(-2\/21) assuming x is positive.\nAnswer: x**(-100\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/347, 0, 50, -6, -0.2, -0.1 in descending order.\nAnswer: 50, 2\/347, 0, -0.1, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (7 - (-2 + 9 - 8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30025062 (base 7) in base 16?\nAnswer: 25cc86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328983853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 303.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.4 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 3, r: 1, f: 1, j: 3}. What is prob of picking 1 b and 1 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 106*b + 920. Let a be m(-20). Sort -4\/5, a, 4, 6\/953 in ascending order.\nAnswer: -4\/5, a, 6\/953, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 11:13 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/56*315\/30?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 21, 77, 187, 369, 641, 1021, 1527?\nAnswer: 2177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 722 divide 283024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10489, -20987, -31483, -41971, -52445, -62899, -73327, -83723?\n\"Answer: s**3 - 5*s**2 - 10490*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -499\/527949 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 - 0.21. Which is smaller: z or 3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*i + 3 = 0, -5*c - i = -c - 8. Sort 3, c, -7\/4 in decreasing order.\nAnswer: 3, c, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -520.56 + 538. Let s = 15.5 - u. Let d = s - -14.64. Round d to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 15*k**2 + 11*k - 15. Let y be u(14). Let m = 59 + y. Solve 7 = -2*s + m*d + 17, 0 = 4*s - 2*d - 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/21*(-14)\/4. Suppose a + 13 + b = 0. Let f = -5 - a. Calculate the remainder when 29 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 2 - 11 + 12 - 2 as k*j + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m + 120. Calculate the lowest common multiple of o(-3) and 2.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 52*x**2 - 145*x - 145. Give t(49).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 500 + -503. Let u(v) = -6*v**3 - 8*v**2 - 2*v + 9. Is 21 a factor of u(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m - 3. Let y be ((-5)\/3)\/(-2*m\/18). Solve y = a + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15757867 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2227.7 + 2228. What is the fourth smallest value in -1, z, -0.38, -1\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/59, 4\/11, -6, -5?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12)*(-16)\/(-20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((19 - 11)\/(-16))\/((-4)\/(-56)). Which is the fifth smallest value? (a) 5 (b) 3 (c) 1\/7 (d) -1\/2 (e) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-50)\/(-5))\/2 + -3. Suppose -3*j - 2*i = -52, 4*i = -r*j + 17 + 7. Calculate the greatest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = 5*c + 5, 3*y = -c + 12. Suppose h + 0*h = l - 7, -y*h - 25 = -3*l. Suppose -a = -5*z - 77, -a + l*z = -3*a + 79. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 6*d + 30. Let i(k) = 4*k**2 - 9*k + 9. Let v be i(d). Suppose -2*t + j = -v, -5*j + 1 = t - 32. What is the greatest common divisor of 24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 6)\/(2\/(-4)). Let t(u) = 25*u**2 - 14*u. Let r(z) = 26*z**2 - 13*z. Let d(k) = w*t(k) - 3*r(k). What is the second derivative of d(h) wrt h?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 - 11 + 4 + 5*b + 11 = 0 for b.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30420, 121614, 273566, 486264, 759696, 1093850?\nAnswer: 1488714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t - 3. Let o(j) = -9*j - 4. Suppose -y + 4*m = -4 + 22, 3 = -m. Let r be (-6)\/y*-5*4. Give r*n(z) + 3*o(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, a: 3}. What is prob of sequence as?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 9*j**2 + 2*j - 6. Let c(r) = 9*r**2 + 2*r - 5. Let v(s) = 7*c(s) - 6*z(s). Give v(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 4126\/(-8) - (-78)\/(-104). Let s = d + -411. What is the highest common factor of 147 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51234225 + -13?\nAnswer: -51234242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -2\/51, 3, 0, 34, -4?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*m - 10*m - 61131 = 0. Is m a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-13455*k**2 - 35*k**4 + 13453*k**2 + 157*k**4).\nAnswer: -244*k**4 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13050, 17714, 22378, 27042, 31706?\n\"Answer: 4664*b + 8386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 7*u - 27. Determine b(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 10*y + 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trupiuvpr. Give prob of sequence ti.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 - -10 - (-19 - (117 + -57 - -6))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104623 = 814*v - 24037 for v.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v = -o - 82, -639*v + 644*v - 18 = 12*o for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -429, -854, -1277, -1698, -2117, -2534?\nAnswer: -2949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 64*q + 118*q - 58*q.\nAnswer: -4*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-24)*(-32)\/(-40) - 1. Which is the nearest to i? (a) -33 (b) 0.5 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5565 + 1?\nAnswer: -5564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + 1. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1300?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n + 4*n)*(1 - 2 + 3 - 5 - 1 + 4 + 2 - 3 + 2 + (3 - 4 + 0)*(1 + 2 - 4) + 2 + 2 - 3 + 0 + 2 - 3).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1020307028 divided by -2756.\nAnswer: 370213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -883*a - 10694. List the prime factors of m(-15).\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 - 21*g**2 + 1323*g\/4 - 2401\/2.\nAnswer: -(g - 7)**2*(g + 98)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103245 + 0?\nAnswer: -103245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 6.4. Let q = f - 3.4. Let i = 4 + q. Are i and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -6 + 1, 4*p = -3*l - 23 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 4*z**2 - 5*z - 87. Let x(p) = 17*p - 11. Suppose 21 = 4*j - 31. Determine j*k(y) - 6*x(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1069673?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r - 110 = 0. Let x = 27 - r. Calculate the remainder when x is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10624 and 1079.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9776 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380 divided by -5?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3112911 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*3*216\/(-53460)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 835797 + -835763. Let r = 0.6 - 4.6. Let b be ((-6)\/15)\/(6\/10). Put r, v, b, 1\/3 in ascending order.\nAnswer: r, b, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 871633 and 17447?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -54) + -37 + -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 24 = 2*m, -4 + 10 = -2*v - 4*m. Let n = 9 + v. What is the least common multiple of 28 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l - 4 - 2*l + 6 + 6*l wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/133981 < -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w = 4*s - 185, 1101*s - 1097*s - 3*w = 157 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220124 (base 6) in base 8?\nAnswer: -331624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 c when three letters picked without replacement from eebcbbgebqvvbqcqbb.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 26*x**2 + 7214*x + 115124 = 0?\nAnswer: -3386\/13, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 7947 = 3*b. Suppose 13*t - 404 = b. Let g = 107 - t. Solve g = -h - h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1274))\/(-1*sqrt(200)).\nAnswer: 7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 - 5*a**2 - 5*a + 8. Let c(k) = -4*k**3 + 6*k**2 - 4 - 5 - 448*k + 454*k. Let v = -65 - -60. Determine v*c(h) - 6*u(h).\nAnswer: 2*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*1.26.\nAnswer: -28.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**4 - d**3 + 84*d**2.\nAnswer: 96*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or -1\/16?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9)*u)**(-3)\/(u*u**(-4\/15)*u**0) assuming u is positive.\nAnswer: u**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/76 - 6\/((-456)\/259244)?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 17 + 2, 3*i - 12 = -q. Suppose z - r - 1 = 5*z, -3 = z + q*r. Solve o = -z*o - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*-4*-3*(5 + 1*sqrt(2299)) + 3)**2.\nAnswer: 4042368*sqrt(19) + 85666185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 254793852 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 2. Let u be b(0). Let p = -691\/9 + 77. Let n = -1219 - -1217. Sort n, p, u in decreasing order.\nAnswer: u, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.391 - 0.430997. Round b to 4 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*j + 136 = -22*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2 + 803434*m + 803433 = 0.\nAnswer: -803433, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5835*2273.4.\nAnswer: -1326.5289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 298\/18 - ((-20280)\/(-260) - 96)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - r + 5 = 0, -3*n + 5*r = 4*r + 5. Suppose n*w = -3*a + w + 2, 0 = 5*a + 3*w + 6. Suppose a = -17*p + 13*p + 1028. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f - 35603. Let t(s) = 48*s. What is t(c(r))?\nAnswer: -144*r - 1708944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56192274?\nAnswer: 2, 3, 31, 100703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(-2 - 13 - 11)*(7*d - 3*d - 20*d) in the form z*d + a and give z.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -32 (b) -54 (c) 0.1 (d) 2\/5 (e) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*t - 98, 5*f = f + 3*t + 181. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*q - 217*q + 126*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 3:52 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 12*c - 7. What is the remainder when a(-6) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 2)\/((-1)\/1). Suppose s*o - 11 = 25. What is the least common multiple of 8 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*t**2 - 6*t**2 + t**3 + 23*t**2 - 2 + 13*t**3 - 14*t**4 + 0 as f*t**2 + y*t + n*t**3 + u*t**4 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**4\/5 + 688*k**3\/5 - 129258*k**2\/5 + 3696408*k\/5 - 9944397\/5 = 0.\nAnswer: 3, 31, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 3)*-3 - ((sqrt(200) - (sqrt(200) + -3)) + sqrt(200))) + ((1 + sqrt(3200) - sqrt(50)) + 5)**2.\nAnswer: 407*sqrt(2) + 2474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5391 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50491412 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4107425.\nAnswer: 5, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5*m*m*m**(-5\/4))**(1\/12) assuming m is positive.\nAnswer: m**(23\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 2.7358.\nAnswer: 0.218864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9270 + -9272. Put 12, j, 22, -5, 0 in decreasing order.\nAnswer: 22, 12, 0, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 478, 939, 1400, 1861, 2322, 2783?\n\"Answer: 461*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 5?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 633739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207\/(-3)*2\/(-3) is divided by (-33)\/(-2) + 1\/(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6280 - 13682. Which is greater: -19961 or x?\nAnswer: -19961","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38687 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 4 + 4 + (-2 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 570851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73057 + 73059. Suppose 0 = 4*j - 3*j - 3. Let l = 4.1 - 0.1. Which is the closest to 1\/2? (a) i (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**5 - 4*o**4 + 6*o**3 + 36*o**2 + 27*o = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -1 - 489\/567. Let h = v + 4\/27. Let w = -4.5 - 0.5. What is the second biggest value in h, 2\/3, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-108)\/(-24) - (-2 + (-10)\/(-4)). Solve t*l = -3*g - 0 + 14, -3*g - 2*l + 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1, -2, 2\/157, 0.07, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81948329 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 5:53 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501671317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w + 147*w**2 - 513 - 324 + 16*w + 837.\nAnswer: 147*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 3004?\nAnswer: -2cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 10:16 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/2 + 29*m**2 + 110*m + 108 = 0. What is m?\nAnswer: -54, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52445 or 52446?\nAnswer: 52445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g - 84. Determine b(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 14. Suppose u + 25 = -q*u. Let z = u - -9. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-20)*3\/((-6)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4194567 nanograms in grams?\nAnswer: 0.0000000004194567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.5 (b) -1 (c) 709\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -4*s - 42, -11*s + 16*s - 3*u - 3 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 114 = 4*f, -91*f - 27 = -89*f - 5*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -2663.9327.\nAnswer: -1598.35962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -201 + 605. Suppose -4*b + 0*m - 4*m = -n, -3*b = m - 295. What are the prime factors of b?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*t = -43 + 803, -4*o - 4*t + 704 = 0. What is the remainder when 2563 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Suppose v*q = -4*q. Suppose q = -3*x - 4*z + 30, 2*x - z = -5*z + 20. Solve -3*o = u + x + 4, 8 = -2*u - o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 3319953?\nAnswer: -3319954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.029276 * -1613\nAnswer: 47.222188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c. Let a(b) be the second derivative of b**5\/30 - b**3 + 4*b. Let s(p) be the second derivative of a(p). Give w(s(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-105)\/(-40))*-1*7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6821581 divided by 2.\nAnswer: -6821581\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -6*w + 28. Solve -5*u = -3*s - w, 5*s - 2*u + 0*u = -15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 6*y - 7. Let i be s(7). Suppose i = -4*n + 8*n. Suppose -2*q - 5*d + 7 = q, 3*q - 2*d - 35 = n. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 0*a + 0*a**4 + 0 - a**2 + 0*a**3 + 1\/30*a**5. Let o(b) be the third derivative of -b**5\/30 + b**2. Calculate p(o(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68063621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-1325)*1\/(-2))\/((-2)\/2). Determine a, given that -9\/2*a**3 + v + 0*a + 6*a**2 - 3\/2*a**4 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 50\/3. Let m = -0.05 + -0.95. What is the third biggest value in x, 0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11647\/17 + (-24)\/204 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -340637 - 5?\nAnswer: -34063c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546072 equal to 7092145\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 410481*d - 4105110.\nAnswer: 3*(d - 136837)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cc591 (base 15) to base 13.\nAnswer: 3a4218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 + 10088*u\/5 - 6051.\nAnswer: -(u - 10085)*(u - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 5. Let b be 4 + (-2 - -1) - i. Solve -3*s - b + 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a day?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5 - 18*g**4 + 34*g**3 + 66*g**2 - 180*g.\nAnswer: 2*g*(g - 5)*(g - 3)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 13) in base 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12033*y**4 + 81457*y**2.\nAnswer: 288792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 5*u**2 + 6*u - 3. Let z be y(6). Let l = z - -7. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 11*f - 28*f + (-59 + 59 + 20*f - 64*f)*(0 - 2 + 4).\nAnswer: -104*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 22 = -2*u, u + 2*q + q = -9. Calculate the smallest common multiple of u and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1653408*a - 750*a**3 - 1653408*a.\nAnswer: -750*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n = -30*n - 4. Which is the biggest value? (a) -2\/9 (b) 2\/15 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 75060?\nAnswer: 75053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -143004 divided by -4206\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-34)*(-93840)\/1680?\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p**2 + 89*p**4 - 79*p - 86*p**4 + 8*p**2 - 1 in the form v*p**2 + x + k*p**3 + m*p + w*p**4 and give m.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 84b8 - 1a48?\nAnswer: 6770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 674.9565 millimeters?\nAnswer: 674956.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1830569 is divided by 166395.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 9. Let m(w) = w - 6. Let s be m(z). Solve -7 = -s*i - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttttqqfaqqfqttqq. What is prob of picking 1 q and 1 f?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-265))\/(1026\/(-10260))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 8:12 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -68 (c) -1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight ninths of a day in minutes?\nAnswer: 4480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*k - 1)*(0*k**3 - 4*k**3 + 3*k**3) + 9*k**2 + 7*k**3 - 9*k**2 + k**4.\nAnswer: -k**4 + 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a11 + -6?\nAnswer: -a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60.25112407 + -36.24884248. Let o = -96.5 - w. Round o to six decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - c4b72?\nAnswer: -c4b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 9. Let k be b(-12). Let c(g) be the second derivative of 0*g**2 + 0 + 1\/6*g**3 + 16*g. Give c(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447656755 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*p = -93*p + 83151. Let n = 18760 - p. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**(1\/31))*v)\/v)\/v)\/(v\/(v*((v*v\/(v\/(v**25\/v)*v))\/v)\/v*v)*v) assuming v is positive.\nAnswer: v**(652\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 4*f + 7. Determine c(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1271*t + 3702. What are the prime factors of p(-55)?\nAnswer: 73607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**2 - 338991*o + 6441912 = 0.\nAnswer: -113016, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/5430 and -47\/48870.\nAnswer: 48870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1661, 1674, 1687, 1700, 1713?\nAnswer: 1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0. Let y = t + 0. Let w = 421\/70 + -63\/10. Which is the nearest to -1? (a) y (b) w (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137100 + 137100 - 55*j + 53*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 12 = -h, -3*q + 16 = -2*h + 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*u**2 + 3594580*u - 634335.\nAnswer: -5*(u - 42289)*(17*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.112156710017418 - -4.\nAnswer: 3.887843289982582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2645 + -123.\nAnswer: 2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4, 2 in increasing order.\nAnswer: -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 116820*g**4 + 8*g**2 - 116819*g**4 + 3*g**3 - 8*g + 2 + 14*g**2 in the form c*g**2 + a + s*g**3 + f*g + i*g**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7073657454 to the power of 1\/2, to the nearest integer?\nAnswer: 84105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2908.32 - -3462. Let s = 564 - o. Round s to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*l + 25, -5*l - 3*r + 16 = -15. Suppose 3*m = 2*a - 9, 4*m + l*a + 12 = 4*a. Sort m, 3, -5 in descending order.\nAnswer: 3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 36*w + 186. Let q be p(4). Solve q = -5*z + 71*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2406 + 854 = 0. Let f = b - -573. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**3 + 2151680*z**2 - 1508*z + 218 wrt z?\nAnswer: -6*z + 4303360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 4*n - 1. Suppose 2*j + 3*j + 20 = 0. Let o be f(j). Let l(d) = -61*d + 1. Calculate the remainder when l(o) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2311 (base 6) to base 16.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 y when three letters picked without replacement from {k: 8, c: 2, y: 5, b: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/7))**(-40)\/(g*g**(-25)*(g*g*g**(-2))\/g) assuming g is positive.\nAnswer: g**(295\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*c + 35*c - 15. Let y = 149 + -114. What is the highest common factor of c and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6450286?\nAnswer: 2, 3225143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y - 3*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t - 6. Calculate m(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - c + 1. Let w(v) = 2*v**2 - v + 1. Give -3*i(g) + 3*w(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, 13, 5, -4 in descending order.\nAnswer: 13, 5, -1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 676 = -n + 5*n, 694 = 4*n - 2*z. Suppose -2*v = -n + 10. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -41) + (-276 - -145) + 112?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1000)\/36)\/5*240\/200.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**3 + 27*s**2 - 89*s - 94. Is 31 a factor of h(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 4:52 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + 36. Let h = d - 27. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Let y be -2 + 1 + (6 - r). Suppose 0 = -4*g - 12, -y*m - 2 = 5*g - 23. Calculate the remainder when 22 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18686 - 18379. Do t and 317 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8433 <= 143380\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/3 in 4.7, -1483, -1.4?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(171) + sqrt(171) + -1 + sqrt(171))**2 + (sqrt(171) - (-4 + 1*sqrt(171))) + -4.\nAnswer: -8552 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 1)*(0*c + 6*c - 2*c)*(5 - 1 - 2) to u + l*c and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqjj when four letters picked without replacement from qhsqhaqahhqjhdjqjdhh.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*q - 13 - 1, -3*j + 4*q = -14. Suppose u + u - 14 = 3*m, 2*u - 12 = j*m. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -0.1. Suppose -5*p + 102 = -3*g + 125, -3*p = 2*g + 10. Which is the closest to -2? (a) y (b) g (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/7549 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18c98 + 96?\nAnswer: 19061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 5, -4 in descending order.\nAnswer: 5, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgpwgpgogxppgogogpx. Give prob of picking 1 o, 1 g, and 2 x.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1 - -1) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 151359 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/1255253044 and -41\/2.\nAnswer: 1255253044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -185 (c) 107 (d) 3 (e) -3.08 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -735 + 738. Which is the closest to 2\/3? (a) 2\/19 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -760*j**2*q**2 + 2*j - 475*q**2 wrt j.\nAnswer: -1520*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 6*s + 4. Let m be c(6). Let g = -35 - -39. Let a be (-3 + g - 6)*(-18)\/15. Solve 7*v - a = m*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 4*p - 3. Let q be v(4). What are the prime factors of 4 + q - -34 - 1?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 - 3*r**5 + 2*r**5 + (-1 - 1 + 4)*(4*r**5 - 5*r**5 + 3*r**5).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1423164 at most as big as -1423138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 69 = 4*a + a, -6*g + 17 = -a - 10 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36264 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 684.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from kzkzznkzkz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 minus -1063.15?\nAnswer: 1062.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -75198535 divided by 15039707?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25703079050219 + 25703079050219 - 6*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.147 + -131.853. Let a = 133 + y. What is the nearest to -1 in -0.4, 4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c + 2*c + (-2 - 1 + 1)*(-5*c - 4 + 4))*(0*c + 0*c - c) + (9*c - 5*c + 5*c)*(0*c + 2*c - 3*c).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1288 + 1360. What is the highest common divisor of j and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4928 and 1925.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -5, 4, -1, -7 in decreasing order.\nAnswer: 24, 4, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(77)*-2)\/sqrt(11) - sqrt(126)\/sqrt(2)) + sqrt(112) + (sqrt(112) - 6*(2*sqrt(112) - sqrt(112))))*2*-4)**2.\nAnswer: 197568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.753 - -0.247. What is the second smallest value in -2\/21, h, 1270?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b**2 + 28*b + 13. Is c(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -175 (c) 3 (d) 1 (e) 17\/4 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 421463821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -2\/3 (b) -1496 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 693 and 11.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 + -3.7. Let d = -9.5 + r. Let a = d + 11. What is the second smallest value in 6, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 444*v - 1. Let x(g) = -88*g**2. Calculate x(w(o)).\nAnswer: -17347968*o**2 + 78144*o - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 + 36025?\nAnswer: 36025.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p = -85 - 143 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120563.\nAnswer: 120563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51.9 + 0.9. Let u = 44.3 + b. Round u to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 1076012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -101111000001011100110 (base 2) to base 15\nAnswer: -206828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1344669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -5 - (-1 + 16 - (-1 - 5)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-2 + 1 + 0)*(q + 2*q + 3*q).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -6*n + 2*n. Let d be 9\/15 + n\/10. Solve -2*q + 20 = d*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*d - 468*d - 463*d = -713 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68363 by 499.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2456 (base 8) to base 14\nAnswer: -6aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (331 - 331 + 324*b)*(9*b**2 + b**2 + 13*b**2) + 4*b**3 - 2*b**3 - 3*b**3 as i*b**2 + l*b**3 + p + o*b and give l.\nAnswer: 7451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 548 = m, 2*s - 1107 = -2*m + 5*s. Suppose -12*g + m = 34*g. Solve -2*p = 4*p - g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5530 + 11068 - 5494)*(1 - 1 - t**4) as z + c*t**4 + p*t**2 + l*t**3 + a*t and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5085311 and 357133.\nAnswer: 2191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, f: 3}. What is prob of picking 2 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r + 14. What is the tens digit of r\/((-14)\/248) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s + 1335*s**2 - 3252*s**2 - 3*s - 1 - 2*s as l*s**2 + u + m*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8376286?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 181*y + 185*y + 62341 = 0, 0 = -2*l - 4*y + 124718. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1431 (base 7) to base 3.\nAnswer: -202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.034414154 plus 1874?\nAnswer: 1875.034414154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 652 divided by 163.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 9*p - 32704 - 9351. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/r)\/(r**(2\/3)\/r))\/(r**(2\/3))**(-12\/7) assuming r is positive.\nAnswer: r**(115\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 240, -2, 5, 9, 157 in decreasing order.\nAnswer: 240, 157, 9, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 74 = a. Let c be a\/7 - (-2)\/(-14). What is the tens digit of ((-108)\/c)\/((-6)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57251761 a multiple of 2106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5356113 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4\/5 - 3*q**3\/5 - 1083*q**2\/5 + 11667*q\/5 - 34776\/5 = 0. What is q?\nAnswer: -23, 7, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - -70. Is 32 a factor of (q\/3)\/(4 + 92\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/261)\/((-4)\/(-6)). Let i be (11\/33)\/(2\/(-6)). Which is greater: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 21*v - 12*v + 19*v - 21 + 21 - 3*v + (3*v - 4*v + 3*v)*(3 - 6 + 4) - 1 - v + 1 - 2*v - 5 + 5 - 5*v + 2*v + v.\nAnswer: 22*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1065 and 210.\nAnswer: 14910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3214 (base 6) in base 12?\nAnswer: -50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18277999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w**2 - 191*w + 13. Give j(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 108.2 * -617\nAnswer: -66759.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 39 (b) 6.2 (c) 162 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, r: 1, z: 1, n: 2, y: 2}. Give prob of sequence zrn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/6)\/((-16)\/6). Let s be (-2)\/(1652\/548 + -3). Let z = -961\/7 - s. Which is the nearest to 0.2? (a) n (b) z (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-6))\/((-3)\/(-54)). Let x(h) = 3*h**2 - 2*h - 3. Let w be x(4). Let d = w + n. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4281 + -4283. Let h = 1 - 0.8. Which is the closest to u? (a) 2\/5 (b) 1\/8 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8068, 8095, 8170, 8317, 8560, 8923, 9430?\nAnswer: 10105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 26.6. Let a = -0.4 + 0.3. Let j be (2366\/585)\/(-13) + 2\/10. What is the third smallest value in j, a, -4, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1346 (base 9) in base 6?\nAnswer: -4410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) + (-1089)\/(-27). Let q = c - 38. Sort q, 6, 0.\nAnswer: 0, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -26. What is the greatest common divisor of u and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728482 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjx when three letters picked without replacement from jbxjbjxbbbbblbjd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22037 + -0.852697088.\nAnswer: -22037.852697088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5\/5 + 166*x**4\/5 - 2226*x**3\/5 + 5138*x**2\/5 + 688*x\/5 - 1368 = 0. Calculate x.\nAnswer: -95, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rurtrpnuurtunrrrt. What is prob of picking 1 p, 2 t, and 1 r?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/28701162?\nAnswer: -1\/28701162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 5:29 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1035 + 21442?\nAnswer: 20404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**3 - 7*w**2 + 11*w + 122. Let q(u) = -5*u**3 - 6*u**2 + 10*u + 98. Let o(z) = -4*k(z) + 5*q(z). Give o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 177, 0.3, 5.\nAnswer: -1, 0.3, 1, 5, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 14 = -2*n, -8*g + 4*g + 17 = -n. Suppose 18 = 3*w - 6. What is the third derivative of 2*i - w*i**n - 2*i + 3*i**2 + 0*i wrt i?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63922 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-32)*8\/3)\/(-8)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 16\/7, -1\/3, 0.4, 660, 2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzuzzhzzuuzzuhhu. Give prob of picking 2 h and 1 z.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 243, 241, 241, 243, 247, 253?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -1)\/(((-3094)\/(-156))\/(-119))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42183 and 656739?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/4))**(5\/9)\/(m\/m**(1\/11)*m*m*m**(1\/3)\/m) assuming m is positive.\nAnswer: m**(-241\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 - 12*4030\/744?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-100)\/(-45)*18\/(84\/(-14)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a**2 - 13*a - 17. Let i be y(12). What is the common denominator of (-4)\/20*i\/30 and ((-159)\/(-36))\/1 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 + 7. Suppose -224*a - 1315 - 1295 = 66*a. Let c(n) be the second derivative of n**4\/6 + 3*n**2\/2 - 5*n. Determine a*c(m) + 4*y(m).\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 270872 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 - 31 - 40*l + 41*l - 20 + 21 + l**2 as d + x*l**2 + s*l and give d.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.217 less than -7916698?\nAnswer: -7916698.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 + 17*t**2 - 2 - 5*t**2.\nAnswer: 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 + 8*w - 6. Let x be o(4). Let p = -4 - x. Suppose -31*l = -12*l - 380. What is the lowest common multiple of p and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 229 in -1\/4, 0.3, -0.4, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*w**5 - 23962*w**4 - 123992*w**2 + 3 wrt w?\nAnswer: 2400*w**2 - 575088*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -109*l**4\/4 + 379*l**2 - 651*l. Differentiate s(p) wrt p.\nAnswer: -654*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 7*u - 6. Let n be 4\/18 - 74\/9. Let l be c(n). Solve -l*r = -3 + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -47*l**7\/30 - 29*l**4\/6 - l**3\/3 + 40*l**2 - 3*l. What is the second derivative of n(m) wrt m?\nAnswer: -3948*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**9\/5040 + q**8\/560 + q**7\/175 + q**6\/150 - 5*q**3\/6 - 6*q**2. Let b(n) be the first derivative of z(n). Factor b(k).\nAnswer: 3*k**2*(k + 1)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b + 4*b - 6*b + (-2 + 0 + 0)*(-33*b - 28*b + 23*b))*(-5 - 2 + 8) to w*b + j and give w.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 7:42 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7598*l + 10516. Let k(g) = -1267*g + 1757. Let r(z) = 6*b(z) - 34*k(z). Differentiate r(o) with respect to o.\nAnswer: -2510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w + 78 = 43*w. Let u(p) = 31*p**2 + 19*p + 2. Calculate the least common multiple of u(w) and 22.\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 30210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 461 - 1121. Suppose -14*g + 3*g + o = 0. Calculate the remainder when g is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*9 + (-20592)\/3366\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*m + r + 35 = 75*m, -4*r = -46*m - 1806 + 666 - 720 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -58783.054 rounded to the nearest ten?\nAnswer: -58780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n + 284. Let h be g(22). Suppose -h = -4*t - 2*l, -3*t + 5*l + 71 = -0*l. Solve 21*i - 5 = t*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 2*s + 3*s + 94, -2*l = 10*s + 9*s - 26*s - 131 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 48*u**2 + 4 - 1.\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -18, -46, -8, -2 in increasing order.\nAnswer: -46, -18, -8, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1466)\/2199*(3\/(-6))\/(1\/(-51))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845*x + 157*x = -54352 for x.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162 or 99?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q**(-4\/7)*q)\/q)*q)*q**(-1\/3)*q)**(-32) assuming q is positive.\nAnswer: q**(608\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/900330 and 71\/1530?\nAnswer: 45916830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7670 + -5390. Suppose 0*g + g = -4580. Let z = u + g. Round z to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 - 73. What is the nearest to 1 in -0.3, t, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -1 - -8) + -5. Let k(b) = -2*b + 4. Let s(l) = l - 3. What is m*k(a) + 7*s(a)?\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/28 and -36\/87703.\nAnswer: 350812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/21*21\/(-3). Suppose -u*p + 3*p = -807. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 11*m - 21030. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*q - 2784, -2*q - 5*u = -q + 708. Let c be q\/(-10) + (-3)\/(-15). Let b = c + -39. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 79.\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44478 to 3 dps.\nAnswer: -0.445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 112388, 340 in ascending order.\nAnswer: 0, 340, 112388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 31*g + 84. Let s be b(-33). Calculate the greatest common divisor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = 16*l - 17 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = i - 5. Let z(j) = -43. Let r(t) = -t - 38. Let a(d) = -6*r(d) + 5*z(d). What are the prime factors of a(i)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 492 divide 4213488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgwawwjwasaaagwpp. Give prob of sequence wpwg.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15190 (b) -4\/19 (c) 4\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-4)\/90 + (-4)\/360*-6?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = 4*o + 53 - 13, -19578*k + 19579*k = -3*o - 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Let j(w) be the first derivative of w**3\/3 + w**2\/2 + w - 2. What are the prime factors of j(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1366, -5267, -11770, -20875, -32582?\n\"Answer: -1301*d**2 + 2*d - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 27. Let g = -2 + k. Let j = g + -5. Which is smaller: 8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*s - 167*s + 13464 = 58*s for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 6.6. Let i = 0.2 + 1. Let g = -1.2 + i. What is the nearest to g in -2\/3, t, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -473\/2 greater than -238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*g - 6. Suppose -10*t + g*t + 9 = 0. Suppose t + 2 = o. Which is the biggest value? (a) 0 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 + 12*u**4 - u**4 + (-1 - u**2 + 1)*(-3*u**2 + 5*u**2 - 3*u**2) + 2*u**4 - 2*u**4 + 2*u**4 + 2*u**4 - 2*u**4 - u**4 - 3*u**4 + u**4 + 4*u**4.\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3520\/19, -2\/5, 157\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9378 and 11430?\nAnswer: 5955030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7301, 0.1, -67 in descending order.\nAnswer: 0.1, -67, -7301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 7*l - 1324. Let p = -663\/2 + l. Which is smaller: p or 0.79?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -335255*i**2 + 335374*i**2 - 14*i**3 + 35*i**3 in the form j*i**2 + r*i + y + m*i**3 and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**3\/3 - 3*c**2\/2 + 4*c - 21. Let v(f) = -2*f + 9. Let p be v(6). Calculate the lowest common multiple of 20 and g(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4*c = -0*n - 6, 4*n = -4*c - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 13 = 7. Let x(n) = n**3 - 3*n**2 + n + 2. Let v be x(3). Put -1, -4, v, c in ascending order.\nAnswer: -4, c, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23837664 and 39729440?\nAnswer: 119188320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7)\/(-42)*15*150 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d - 5*d - 5*d)*(9*d**3 - d**3 - d**3) to r*d + c*d**4 + s + q*d**2 + x*d**3 and give c.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w**3 + 2*w**2 - 5 + 3 - 12*w**3 + 5*w. Let k(s) = 4*s**3 - s**2 - 4*s + 1. Let x(f) = 3*g(f) + 4*k(f). What is the tens digit of x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*n**3 + 2332133*n**2 - 414596*n - 207300 = 0 for n.\nAnswer: -2\/9, 2\/5, 51825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7064575 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: Multiply 2658.5 and 0.01.\nAnswer: 26.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 3 + 6 - -12) + -53 + 12?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a4 - -5?\nAnswer: 15a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 20. Solve 7 = -l + 3*y, f*y + y + 1 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**3\/3 - 7*c**2\/2 - 2*c - 12. Suppose 103*h - 35*h + 1865 = 441*h. Determine w(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-464)\/20*3625\/(-1450)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12365.\nAnswer: 5, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tibqqitigqtitzzgzzbq. What is prob of picking 1 i and 3 t?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -971, -3912, -8815, -15680, -24507?\n\"Answer: -981*b**2 + 2*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -54 and 87.\nAnswer: -4698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 24 - -5 - -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -152585186?\nAnswer: 152585200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 465.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36009?\nAnswer: 3, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 14*b + 357. Suppose 3*g + 3*p = 36, 2*g - 1 - b = -4*p. Sort g, 1\/4, -0.3, 2 in descending order.\nAnswer: g, 2, 1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58742 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 85*m = -9*m - 900 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - (-794 - -811)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3907542, -3907541, -3907540, -3907539, -3907538?\n\"Answer: r - 3907543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(7\/3)*q**(-2\/15))\/(q*q**6*q)**(-3\/5) assuming q is positive.\nAnswer: q**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*w**2 - 62*w**2 - 11*w**2)*(0 - 2*w + 0 + (0*w - w + 0*w)*(-1 + 0 + 3))*(-3 - 3*w + 3) as v*w**3 + j*w**4 + f + d*w**2 + z*w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/54*(-9)\/12.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**2 + 2. Suppose h - 6*h + 10 = 0. Let d(b) = -5*b + h*b**2 + 4*b - 3*b**2. Determine n(d(r)).\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-36)\/810*-30.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -1\/10 (c) 1 (d) 0 (e) 11276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 2:30 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110000101110111111011 (base 2) to base 8.\nAnswer: 26056773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + sqrt(1584)*1)*6 + 1*(sqrt(1584) - -2*sqrt(1584)))**2.\nAnswer: 356400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*q + 5 = -0*v, -2*v - 4*q = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11657, -11656, -11655, -11654?\n\"Answer: h - 11658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9159 = 17*f + 9414 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-225)\/975*(-169)\/1365)\/(4\/45).\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/7, -1, 42?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -331.11 - -329. Round w to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -2\/29, 0.3, 0.155, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-93)\/(-2015))\/((-3390)\/(-25)). Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -101, -197, -295, -395?\n\"Answer: -q**2 - 93*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 136\/884 + (-672)\/(-26). Sort v, 5, 2\/3 in decreasing order.\nAnswer: v, 5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 101*t**4\/24 - 7*t**3\/3 - 4*t**2 - 11*t. Let j(d) be the first derivative of o(d). Is j(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -0.04, 1\/3, 0.3, 3\/2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-11 - (-2 + 0 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swwd when four letters picked without replacement from dwrsroyrwwswsr.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9408*i**2 - 54*i**3 + 3221*i**2 + 3098*i**2 + 3091*i**2.\nAnswer: -54*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 1 = j. Let z = 42 - j. Suppose -4*k - 12 + z = 0. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5187 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*x**2*z**2 - 15*x**2 + 1610*x*z**4 + 89 wrt z.\nAnswer: 4*x**2*z + 6440*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.8053l?\nAnswer: 4805.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*l + 187*l = 329104. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -41338, 5, -4, 2, 0 in descending order.\nAnswer: 5, 2, 0, -1, -4, -41338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2204005.\nAnswer: 5, 53, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6\/5, 1.9, 89, 1\/2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*z**3 + 109*z**3 - 307*z**3 + 96*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 938 (b) 2\/13 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 702 and 19617?\nAnswer: 353106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**3 - 79*r**2 - 46*r + 45. Determine j(27).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/45, 1\/3, 3, -2, -5, 0.1 in ascending order.\nAnswer: -5, -2, -2\/45, 0.1, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**4\/15 - 4*i**3\/15 + 2*i - 16. Let o(x) be the first derivative of k(x). Factor o(c).\nAnswer: -4*c*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 259.517\nAnswer: 271.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 0*u - 2*u - 6, u - 15 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 11:19 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 2484 in decreasing order.\nAnswer: 2484, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 3, g: 9}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29919410.\nAnswer: 2, 5, 109, 27449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(8\/(-1286)) - (-4)\/(-8). Let d = 312 + y. Let r(v) = -v**2 - 1. Let b(p) = -6*p**2 + p - 5. Determine d*r(t) + 2*b(t).\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 11*p**2 - 6*p - 55. Give h(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugu when three letters picked without replacement from {g: 1, u: 3, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66858 is divided by 13142?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/120 - 5*c**4\/24 - 35*c**3\/3 - 53*c**2. Let s(f) be the first derivative of w(f). Give s(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*a + 4 - a**3 - 3*a**2 + 33*a**4 - 32*a**4 - 5 to the form l*a**4 + j*a**3 + m + h*a**2 + s*a and give s.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsalllv. Give prob of sequence sav.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111000110000 - -111111001?\nAnswer: 111000000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 4*n**2 - 3*n - 7. Let x be z(5). Suppose -5*d + x*d = 3*p - 34, -3*d = p - 58. What is the highest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + -4.03. Let h(z) = z**3 - 8*z**2 + 10*z + 4. Let t be h(7). Suppose -32*p - t = -37*p. What is the third biggest value in j, p, -2\/25?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 18 = -5*l + 6, 2*l = 3*s + 5. Let d = 159 + -156. Solve l = 4*v - d*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463631241?\nAnswer: 3, 1327, 116461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10960 = -28*m + 31*m + 2*b, 5*b + 18225 = 5*m. List the prime factors of m.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + -26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + 8*o + 23909*o**2 - 23908*o**2 + 22.\nAnswer: o**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -34*i - 31. Give b(-4).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5*t = -30, -2*s - 2*t + 6*t = -24 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:54 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -527483\/229 + -37\/458. Let v be 2251 + 6 + (6 - 6). Let d = f + v. What is the common denominator of 26\/7 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 2692336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -22. Calculate the remainder when p is divided by (-6)\/(-2) + (2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 252.9 - 253. Sort 2, i, -0.2, -0.7 in increasing order.\nAnswer: -0.7, -0.2, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 1 + v**2 + v**2)*(-154*v**2 + 70*v**2 - 414*v**2) + (-2*v**3 - 4 + 4)*(0*v + v + v).\nAnswer: 494*v**4 + 498*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 10 - 9. Suppose -3*j = -25 + m. Solve -j*d = -4*g, 5*g - 5 = 4*g - 2*d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 15*z + 3. What are the prime factors of w(17)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 113256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/(-10)*(-540)\/3 is divided by 80\/(((-2)\/(-5))\/(120\/750))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1165 divided by -153.\nAnswer: 1165\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -4 (c) 244.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2772306 plus 9305031.9?\nAnswer: 6532725.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3. Let u(m) = 11*m + 14. Let v(p) = -u(p) + 5*z(p). Let r(x) = -12*x + 1. Give -6*r(s) + 7*v(s).\nAnswer: -5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23b3 (base 14) to base 16.\nAnswer: -1859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18248 - 5?\nAnswer: -18251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 354624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 11*n + 2. What is the tens digit of b(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6) + 2\/(-2). Let g(n) = 28*n**2 + 21*n - 110. Let o be g(6). Let k = -996 + o. Which is the biggest value? (a) -2 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*k**2 - 714*k**3 + 62*k**2 + 54*k**2 to the form w*k + a*k**2 + r*k**3 + s and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4 + 6. Suppose 0 = 4*o - 22 - f. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1334 + -4?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (104\/(-39))\/((-4)\/78). Let n = 187 - j. Let d = -77 + n. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a**2 + 34*a - 9. Is y(-9) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(12)\/(sqrt(24)\/sqrt(4)) - (sqrt(18) + 4)) + -1 + (3*1*sqrt(2) - sqrt(10)\/sqrt(80)).\nAnswer: -25 - 37*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6537\/304 + 1\/304. Let j = 22 + u. Let y be (-1)\/(-3)*(-3)\/(-12). Which is smaller: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -23*u**3 - 7*u**2 - 2*u - 7. Let g(v) = 11*v**3 + 3*v**2 + v + 3. Let p(f) = 2*a(f) + 5*g(f). Give p(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114343317 + 2108?\nAnswer: 114345425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(495) + -2*sqrt(495))*-3*-6)\/(3*(sqrt(275) - (sqrt(275)*-2 - sqrt(275)))))**2.\nAnswer: 81\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69654\/14 - ((-75)\/105 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 13*q**2 + 14*q + 46. What is the remainder when m(14) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -788454, -788458, -788464, -788472?\nAnswer: -788482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 80\/(1 + (-2)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001575849721 rounded to 7 dps?\nAnswer: -0.0015758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695002 = -5*n - l, -5*n + 2*l = 215068 + 479928. Round n to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47102026 - 4?\nAnswer: -47102032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 383*m**6\/120 + 371*m**5\/60 - m**4\/24 - m**3\/2 + 64*m**2 + 3*m. What is the third derivative of c(l) wrt l?\nAnswer: 2298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c + 1. Let v be l(1). Let m be -2 - 3\/1 - (-17 + 13). Is v > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**4\/2 - 69516*w**3 + 19*w**2\/2 + 1320819*w + 2085480 = 0.\nAnswer: -139032, -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 935945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(5*(sqrt(343) + -2 + 4 + sqrt(343)) + 2))**2 + -5)*1.\nAnswer: 42000*sqrt(7) + 861095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310481 is divided by 576.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 62*c + 825. Let w be g(-13). Solve 359*q + 4 = w*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 2*s - 4 + 1.\nAnswer: -5*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 270\/(-81)*(-28 - (-1 + 0)). Suppose -5*y = -10*y + n. Let m be (0 + -72)*(-1)\/2. What is the highest common divisor of m and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + r - 7 - 0, -5 = 3*f - r. Let l(g) = 6*g**2 - 1 - 15*g - 2*g**2 + 13*g. Give l(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20031 and 23\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*n - 43*n + 859*n**2 + 179*n + 167 - 46*n - 43*n wrt n?\nAnswer: 1718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 + 11*a**2 - 865*a + 5265. Calculate s(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x - x**3 + 31*x - 23*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-5 + 11) + (780\/99)\/(-2)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Let s = 10 + -6. Suppose 5*a + 2*o - s*o = 57, g*a - o - 45 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - a - 6. Let j be (-3 + (-27)\/(-6))*-2. Let i be k(j). What is the highest common factor of i and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((105\/33)\/5)\/(2088\/(-3828)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -69*t**3 + t**2 - t - 8. Let u be p(-4). Suppose -9*o + 15*o - u = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3786.6372503 - -3786.86. Let x = -0.0327569 + w. Let y = x - 0.19. Round y to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 55*a**2 + 75*a + 135.\nAnswer: 5*(a - 9)*(a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -79. Suppose 15*m + v = 10*m. Let w(k) = -5*k**2 + k + 1. Determine w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153030*u + 168 + 28 = -153083*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -h - 8*q + 15, -5*h + 21 = 2*q. Suppose -h*i + 8*i = 20. Suppose 0 = -0*m - i*m + 12. Solve m*u = -u - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8131255061 to the power of 1\/2, to the nearest integer?\nAnswer: 90173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 15.4, -55\/21, 0 in decreasing order.\nAnswer: 15.4, 0, -55\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 - 5*i**3 + i**4)*(-i - 1299 + 2392 + 4361).\nAnswer: -i**5 + 5454*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 400 = 3*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -0.4, -9\/20 in increasing order.\nAnswer: -9\/20, -0.4, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - -35. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.008?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3300)*-1 + sqrt(33))\/(sqrt(147)*1 + sqrt(147) + sqrt(147) - sqrt(3) - sqrt(3)).\nAnswer: 45*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5935 rounded to the nearest ten?\nAnswer: -5940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41485, 82972, 124459, 165946, 207433?\n\"Answer: 41487*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**17*x*x*x*x*x**(2\/3)*x*x)\/(x*x**(2\/55)*x*x*x**33*x))**(-5\/7) assuming x is positive.\nAnswer: x**(2206\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 70\/3*t**3 - 245\/3 - 70\/3*t + 80*t**2 + 5\/3*t**4 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 35 + 28 = -105. Solve 33*z - u*z = -76 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -20*b**3 - 4*b**2 + 3*b - 4. Let l(x) = -40*x**3 - 9*x**2 + 7*x - 9. Give 9*c(m) - 4*l(m).\nAnswer: -20*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1338 divided by 7\nAnswer: 1338\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 4*w - 7. Let n be k(6). Suppose n*f - 56 = 3*f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**4\/12 - 5*d**3\/6 + 3*d**2\/2 + 8*d + 5. Let o(s) be the first derivative of f(s). Determine o(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -10*g - 11. Calculate w(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/108 and 11\/34676523?\nAnswer: 416118276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-654.\nAnswer: -1962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(390\/13) + (-20)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 606, 1350, 2380, 3690, 5274, 7126?\nAnswer: 9240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4280917 divided by 52?\nAnswer: -4280917\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 9:25 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x**2 + 3*x**2 - x**2 + 8*x + 4*x**2 - 10. Let w be m(8). Let y = 24 + w. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 34*t - 21*t. Solve -12 = 5*f + 3, -3*f - t = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 11*z**2 + 14*z - 10. Let v(n) = -n**3 + 6*n**2 + 9*n + 2. Let m be v(7). Let x = -6 + m. What is the tens digit of k(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 11*w - 30. Let f be k(5). What are the prime factors of (-20)\/f*(-52 + 0 + -3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 50409 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2492630.\nAnswer: 2, 5, 7, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**(-3\/5))\/(d\/(d**3*d)))\/(d\/(d\/(d\/d**1)*d))**(-1\/4))**(-1\/25) assuming d is positive.\nAnswer: d**(-107\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 116, 115, 114, 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209535145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let u(o) = -o**2 - 10*o - 7. Let z be u(-9). Let k be p(z). What is the first derivative of 2*m**3 - 4*m**3 - 3 + k - 2 wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**4\/6 + 4*g. Let w(r) be the third derivative of r**4\/12 - 11*r**3\/3 - 561*r**2. Give s(w(y)).\nAnswer: -8*y**2 + 176*y - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -141239.\nAnswer: 8\/141239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72409*o**2 + 36389*o?\nAnswer: 144818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20211667 and 461314.\nAnswer: 2779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -234, -782, -1854, -3624?\nAnswer: -6266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6207*o**4 - 12413*o**4 + o**3 + 44*o**2 + 6208*o**4 to the form s*o + g*o**3 + k*o**4 + p*o**2 + b and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 26 = 4*k. Is k at most 3\/251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4.1. Let q be (-10)\/6 + 2\/(-6). Let i(h) = h**2 + 5*h + 1. Let d be i(q). Sort 3, d, a in ascending order.\nAnswer: d, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344243 (base 5) in base 6?\nAnswer: 133344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(-930)\/279.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -13. Is -3\/5 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 51\/15)*10. Suppose 0 = 3*a - 4*a - 2*u + 1, -26 = 4*a - 2*u. Sort 32, z, a, -2 in ascending order.\nAnswer: a, z, -2, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -65, -60, -55, -50?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v. Suppose 4*y - 4*q = 3*y + 9, 3*y = 5*q + 13. What is r(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 1121.\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1478 + 1478 - 898*q to m + a*q and give a.\nAnswer: -898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 35565*f**2 + 391770*f - 356200.\nAnswer: -5*(f - 10)*(f - 1)*(f + 7124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - n - 1 + 2*n**3)*(2 + 4 - 4) - 6*n**3 + n**3 - 5*n**3 + (n**2 + 0*n**2 - 2*n**2)*(n + 2 - 2) to x*n + h*n**2 + d + u*n**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104.822 + -105. What is v rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1744449 divided by 1744449.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8 = 5*t, m = -3*t - m + 20. Suppose -5*n - t*b = -28, b + 10 = 2*n + 2*b. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -34. Sort -6, m, -3 in ascending order.\nAnswer: -6, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71481119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/37 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7977902, 15955815, 23933732, 31911653, 39889578, 47867507?\nAnswer: 55845440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35666, 35662, 35658, 35654?\nAnswer: 35650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(27\/(-9)) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*7\/(-7)*1\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, y: 9}. What is prob of picking 4 r?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 11*w**2 + 11*w - 7. Let s be b(10). Let y be 3\/2*-1*-2. Calculate the highest common factor of s and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-1)\/5) + 1. Let n be (-2 + (j - 2))*(-1 + -1). Suppose -n = -4*q, -2*q = 4*c + 23 - 123. Calculate the greatest common factor of c and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3004132, 3004133, 3004134, 3004135?\nAnswer: 3004136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 14*q**2 + 14*q - 11. Let o be v(-15). Find c such that -o*c**2 + 5 - 12*c**5 - 12*c**4 + 12 - 48*c - 8*c**5 + 68*c**3 - 1 = 0.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 3\/5 (c) -19.75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*q - 12 = 0, -4*y = -3*y - q - 5. Let l = -3 + y. Which is greater: l or -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(80)*2*6 - (sqrt(80) - (-2 + sqrt(80))*1)))**2 + -1 + 3 + -2.\nAnswer: -1728*sqrt(5) + 103716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1650, 1729, 1812, 1899?\n\"Answer: 2*q**2 + 73*q + 1575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 25 = -3*w - 5*a, -2 = 2*w - 2*a. Suppose -5*m = -0*m + w*s + 37009, -2*m + 4*s - 14788 = 0. Round m to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1133 - 14143002?\nAnswer: -14141314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**2 - 21*u**2 - 16467*u**3 + 3*u**2 + 16484*u**3 + 8*u**2.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 7\/2, 36839, -1\/4, -2\/13, 0.5, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - 16*x - 1. Let z be w(9). Suppose -8*y + 31 = -z. Calculate the remainder when 20 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*a + 629*a = 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 3*u**5\/40 + 7*u**4\/2 + 27*u**3\/4 + 174*u - 168. Let s(r) be the first derivative of n(r). Factor s(i).\nAnswer: 3*i*(i + 1)*(i + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, y: 16}. What is prob of picking 4 o?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**2 + 7*i + 8. Let r(c) = -5*c**2 + 8*c + 9. Let w(h) = -3*r(h) + 4*u(h). Let q(x) = 2*x - 6*x + 2*x + 0*x. Let d be q(-2). Give w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**6\/60 - i**5\/15 - i**4\/12 + i**2\/2 - 3. Let o(b) be the second derivative of j(b). Find c, given that o(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*p + 5. Let q be (-10)\/(2\/p*-2). Suppose q + 10 = 4*g. Solve i = g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2349 is divided by 167?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 58500, 1 in descending order.\nAnswer: 58500, 16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 3020 = 4*l. Suppose 110 = 4*f - 130. Calculate the remainder when f is divided by 1\/3 - (l\/9)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 49, 37, 9, -41, -119, -231, -383?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -6, 371?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 442 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20242 + 20242. What is the second smallest value in j, 1, -4, -1, 0.014?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -1. Let g be 4\/12 + (1 - 2). Which is the nearest to g? (a) -0.1 (b) o (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.575 to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**4 + 0*l + 5 + 2\/3*l**3 + 0*l**2. What is the third derivative of n(y) wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3459*s**3*x**3 + 2*s**3 + 10*s**2*x - 3*s*x**2 - 5*s*x + 5*x**3 wrt s.\nAnswer: -20754*x**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247660 (base 16) to base 4.\nAnswer: 21013121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 2*f + 1\/12*f**4 + 0 + 5\/2*f**2 + 0*f**3. What is the derivative of d(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 754\/7 - 108. What is the third biggest value in 2\/51, o, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 - 2*d**2 + d - 2. Let l be h(-2). Let z be 46\/l + (-6)\/18. Do z and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6994 + 17068 = 252*o - 4666. Let d(w) = -w + 266. Let x be d(0). What is the highest common factor of x and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -448*d + 23. Let i be w(-4). Let u = 2992 - i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146 - -70) + 110 + -53?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = 5*w, 2*z = -z + 2*w + 41. Let s = 109 + -65. Calculate the highest common factor of z and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*2*(-1035)\/(-138). Suppose -27 + t = -6*v. Let -8\/7*f**v + 4\/7*f - 4\/7*f**3 + 2\/7*f**4 + 6\/7 = 0. Calculate f.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 19*f**2 + 4*f - 5. Let j be u(-10). Let c = -14168\/15 - j. Let a = c + 1\/5. Is 1 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3609*f**2 - 3*f + 8. Let i be h(2). Let z = -8139 + i. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a minute in seconds?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 10*i**2 + 7*i - 5. Let k be c(-9). Let n = 21 - k. What is the common denominator of -101\/4 and ((-51)\/(-12))\/(6\/n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106*0.01565.\nAnswer: -1.6589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6230 and 770.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 78 = 3*s, 8 = 2*s + 5*g - 44. Let x be (-13)\/s + (-21)\/(-2). What is the second derivative of x*n - 31 + 11*n**2 + 31 wrt n?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39520 and 495482.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (72\/(-7))\/(1\/(-7)). Suppose 15 = 3*m - p. Suppose -m = -2*k - i + 44, k - 4*i = 50. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*z + 25, i - 2*z + 2 = -0. Suppose -5*j + j + i = 0. Suppose j*l - 10 = -2. Solve 5*o = -l*r - 13, 0*o - 7 = -4*r - o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 2*k - 2. Suppose 0 = -0*d + 2*d - 4. What is the least common multiple of 1 and t(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -18*d**3 + 34*d**2 + 1161*d - 2349. What is h(2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -34. Let q = 9 - 13. Let u be (-81)\/(-36) - b\/q. What is the closest to u in -2, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93 + 218. Calculate the smallest common multiple of b and 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324\/162*(-3 - 1) + -14*5\/(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*w - 55626 = 2*w, 0 = -2*w - 6. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjwjijjijwiijjjh. Give prob of sequence wjwi.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1801439 to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-21))\/(((-12 - -22)\/10)\/(-7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhppphhhpphpphpprhrh. Give prob of picking 1 r, 1 h, and 2 p.\nAnswer: 192\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2949634 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 3\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 157434474 a multiple of 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -311\/15 - -64\/3. Let x be (2\/9)\/(10\/15). Which is the third biggest value? (a) f (b) x (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -18\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 404636 and 12?\nAnswer: 1213908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 557280\nAnswer: -1\/13932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/75*(-1)\/1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209718, -209715, -209712?\nAnswer: -209709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(5) + (sqrt(5) - (sqrt(5) + sqrt(245) + sqrt(245) + -1*sqrt(245) + sqrt(245)))).\nAnswer: -sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/549 (b) -3\/20 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2125654207 + 171.2?\nAnswer: 2125654378.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(176)*-2.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 35 - 67 = 0. Let g = q + 38. List the prime factors of g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**3\/6 + 145*r. Let y(o) = o. Let p = 6 + -3. Determine p*y(q) - t(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214 plus 6.475?\nAnswer: 2220.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12bb - 3?\nAnswer: -12c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 1. Let n(w) = 5*w**2 + 9*w + 6. Let k(j) = n(j) + 6*z(j). What is the units digit of k(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 - (40 + -22 + 14) - -36\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13307990 + 13307979.962189. Let k = t + 9.8678. Let b = k + 0.17. Round b to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 3\/2 (c) -4 (d) 5 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajjj when four letters picked without replacement from {a: 2, j: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 less than 427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -24579*n + 24945. What is c(1)?\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -571, -2047, -4353, -7423, -11191, -15591, -20557, -26023?\n\"Answer: 11*w**3 - 481*w**2 - 110*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from ombwmllwtwlwbwwwwlwo?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-3))\/(1\/7). Solve -c - 1 = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4) + 4 - (7 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5388116 and 2006.\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158 by 374.\nAnswer: 79\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -73.7. Let k = n - -3.699745. Round k to 5 dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(7 - 2 - 1)*(-p + 4 - 4)*(-2*p - 2*p + 5*p).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 26 - 32 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 8:12 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 307.1 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 5376 = -15*t. Let s = t - -229. Solve -b + s*b + 5*r + 10 = 0, 0 = b - 3*r - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b*(b*b*b**(-1\/15)*b)\/b)\/(b**(-3))**(-33) assuming b is positive.\nAnswer: b**(-1396\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-16)*4*-6. Let w(x) = -9*x**2 - 5*x. Let p(f) = 4*f**2 + 2*f. Let z(d) = b*w(d) - 5*p(d). Find the second derivative of z(n) wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*t - 98*t = 252*t - 11396 for t.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -334, 4, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2885, 2886, 2887?\n\"Answer: r + 2884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -29254?\nAnswer: 29252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 + 0.18. What is the closest to -1 in p, -0.13, 1?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-5))\/(6\/15). Let q be n\/6 - 1\/2. Suppose 4*m - m - 78 = -3*u, q = -4*u + m + 104. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 3, d: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171 - 461. Let y = -182 - n. Calculate the highest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/19)\/(r**(-1\/2)\/r*r*r)*r\/r**7*r*r\/r**(1\/4)*r*r*r**(-3\/4)*r*r*r\/(((r*r\/(r**(-4)*r))\/r)\/r)*r*(r**(-1\/3))**(2\/59) assuming r is positive.\nAnswer: r**(-16183\/6726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 578 and 10?\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**3\/2 + 64*h. Let p(z) = 79*z. Give p(m(r)).\nAnswer: -237*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04026659345 rounded to five dps?\nAnswer: 0.04027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.288259 nanograms in kilograms?\nAnswer: 0.000000000000288259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.401 + 4.8726. What is m rounded to two decimal places?\nAnswer: 4.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q**1\/q)\/q*q)\/q)**(-36))**(2\/107)*((q**(-1))**(2\/17))**38 assuming q is positive.\nAnswer: q**(-76\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) 1.3 (c) 4177 (d) 7\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-1554)\/21)\/(80\/40).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3 + 3)*(557 + 493 - 1423).\nAnswer: 373*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*r + 1012 = 352*r. Sort -62, r, 5 in decreasing order.\nAnswer: r, 5, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94918120 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/7)*v*v)**(-50)*v**(4\/9)\/v**(3\/4)*((v*v\/v**3)\/(v**1*v))\/(v**(-2\/3)\/(v**(-1\/7)\/v)) assuming v is positive.\nAnswer: v**(-42353\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 508.07 rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + -1 + -3 + -4*sqrt(475)*-1)**2.\nAnswer: -200*sqrt(19) + 11891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30334 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -149614951*h**3 + 53789022 wrt h.\nAnswer: -448844853*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 252835747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pupupp. Give prob of picking 1 u and 2 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27724 is divided by 863?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 7:25 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 + 0 = f, 0 = f - 2*n. Let g(r) = -r**2 + 8*r - 11. Let q be g(5). Let s = q + f. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 - (-4 - -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/60 and -97\/10220?\nAnswer: 30660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 20 = -2*y. Let o = 88 + -68. Suppose -5*l = 5*a - y, -o = -2*a - a - l. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 11*q + 27. Let b be r(6). Let z(p) = -33*p**2 + p + 1. Let u be z(-1). Let w = b - u. What is the remainder when 58 is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 34a4?\nAnswer: -34a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 3, s: 6, v: 2, u: 2}. Give prob of sequence uun.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-9)\/6*442\/(-39). Let a be (-62)\/(-210) - h\/35. Let d = 0 + 1. What is the biggest value in a, 2\/9, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38146413593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - -6*sqrt(143)*-1) + -1*6*sqrt(143))\/(-3*sqrt(11)*5 + sqrt(55)\/sqrt(45)).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c - 509ac0?\nAnswer: -509a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -317302 (base 8) to base 12\nAnswer: -51542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 16 = -7*f. Suppose 0 = f*u - 55 - 1. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 23044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0099 * 3658.\nAnswer: 36.2142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3692115*-0.3.\nAnswer: 0.11076345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:55 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/4)\/((-33)\/(-12452))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2 + 12*k + 2. Let v(c) = 20*c**2 + 34*c + 5. What is 11*n(i) - 4*v(i)?\nAnswer: -3*i**2 - 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -h - 8 + 4, 5*h + 20 = 2*y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.111 != 44\/333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 3) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**2 + 1131240*o + 3393765 = 0. What is o?\nAnswer: -3, 226251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26094.000017831 - -26094. Round c to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 57\/18 - ((-75)\/(-18) - 4). Suppose f + 28 = 4*l + 5*f, -3*f - j = -3*l. Suppose -l = 2*h + p - 6*p, 2*p = 2*h - 8. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*q**6 - 9 - 191*q**2 + 9 - q**6 + 46*q**6 wrt q.\nAnswer: 5400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12031 - -10?\nAnswer: 12041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k**4 + 3 - 3 + 32 - 32 + 25*k**4 - 1 + 1 + 7*k**4 + (-3 - 2 + 6)*(2*k**2 - 2*k**4 - 2*k**2) as c*k**4 + n + f*k**3 + y*k**2 + v*k and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -234*x - 550*x - 339799*x**2 - 206*x**3 + 10*x**4 + 337755*x**2.\nAnswer: 2*x*(x - 28)*(x + 7)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427477 = 125*r + 419102 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.8222832 - 191328.8215632. Let m = -191309 - h. Let n = 11 + m. What is n rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.252652 + 16.277. Round g to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/99 and (0 - (-3)\/33)\/((2233\/168)\/29)?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 6*x - 3. Let m be r(-5). Suppose 2*g = 4*n - 0*g - 78, g = n - 20. Suppose -n = -5*p - v, -2*p + m*v - 17 = -5*p. Solve p = 5*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7\/4)*o)\/o*o**(-6)*o*o assuming o is positive.\nAnswer: o**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 145?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 - 18590*s**3 + 23045400*s**2 - 9533101410*s + 9510074595.\nAnswer: 5*(s - 1239)**3*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - f - 5. Let w(i) = -i**2 - i + 1. Let z be w(-3). Is 14 a factor of o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60.86 - 62.86. Which is the nearest to -2? (a) 10 (b) q (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 12:09 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2570, -5005, -7440, -9875?\n\"Answer: -2435*q - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 529613*z**3 - 529615*z**3 + 1060272*z**3.\nAnswer: 1044*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 5.2. Let v be 2\/(-20)*-2*3. Let y be (-21)\/15 + -8 - -9. Which is the biggest value? (a) y (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*w + 24 = -1, -3*w - 5 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(9\/(-2 + 137))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 22547.8421 and 46.\nAnswer: 22593.8421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 28340.\nAnswer: 226720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46803?\nAnswer: 3, 15601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/19944 and 121\/45036?\nAnswer: 24949944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -19*v**2 + 25*v - 130. Let q be s(6). Let x = q - -2033. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(88) - (sqrt(88) + -1*(sqrt(88) + sqrt(88) + -4*sqrt(88)) + sqrt(88) - sqrt(88)))\/sqrt(11))*-1 + -2 + 3.\nAnswer: -4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.423 times -40467?\nAnswer: -17117.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -520*g**4 - 13*g**2 - 23*g wrt g.\nAnswer: -12480*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 2*t**3\/3 + 5*t**2 + 5*t - 2. Is o(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062368 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1428 = -0*y - 6*y. List the prime factors of y.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 - 525\/(-4). Let n be j - (-6)\/(-1 + 3). Suppose -2*z = 4*b - n, z + 4 = 1. Solve 4*k = -k - 5*d + b, 5*k = -d + 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104427 is divided by 13052?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -595 - -1646. Suppose 212 + q = 3*w - 3*n, 5*n - 1729 = -4*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 take away 0.045?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.5 - 6. Let p = 2.6 - 0.5. Let i = p + -0.1. Which is the closest to i? (a) 1 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/11, -0.1, -407682, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35540482 is divided by 74.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**3\/4 + 93*w**2\/2 + 2883*w + 188. Determine t, given that l(t) = 0.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**7\/210 + z**5\/60 - 13*z**2. Determine c so that h(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09734 times -1324?\nAnswer: 128.87816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 7 = -5*z, -9*l = 3*z - 4*l + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*l = 2*d + 224 + 12, 3*l - 2*d + 149 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 2 - 3*114\/126.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 62 + -59 - (-11 + -8 - 4)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 101111011110 (base 2) to base 8\nAnswer: 5736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.41 times -4271.591\nAnswer: 6022.94331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (30\/5)\/(-1). Let y(u) = h*u**2 - 2*u + 2*u - 7*u**2. Let i(o) = -2*o. Give i(y(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98295*y**3 - 2021*y**2 - 18*y + 1.\nAnswer: -589770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 375 + -197. Let f(c) = -14*c - 92. What is the remainder when g is divided by f(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/19)*c)\/c*c)\/c)**(-42) assuming c is positive.\nAnswer: c**(84\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 475.5 - 1569. Let v = f + 731. What is v rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -49*o - 139. Give y(-7).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - b**2 - 2*b - 3. Let y be h(-2). Let o = 1335 - 1335. What is the fourth smallest value in 4, -1\/5, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -937 + 2*w - 859 - 439 + 551 to q*w + b and give b.\nAnswer: -1684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 - 74. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 543 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -2488*u**6\/15 - 485*u**4\/4 + 3800*u. What is the third derivative of m(c) wrt c?\nAnswer: -119424*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-3\/5)*z)\/z**(-2\/3))\/((z*z**(-3)*z)\/z*z*z*(z**(-1\/4)*z*z*z)\/z*z))\/(z**(-5)\/z**(-6)*z**(2\/9)*z**1) assuming z is positive.\nAnswer: z**(-307\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 24 + 6. Calculate the least common multiple of h and (-1 + 11)*(-2)\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 84 = 15*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - h**2 + 0*h**2)*(0*h + 2*h - 3*h) + 0*h**3 + 5*h**3 - 6*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 + -131.3425?\nAnswer: -131.3225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27424 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a4 - 139?\nAnswer: -6dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4891655929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*b**3 + 20*b**3 + 11*b**3.\nAnswer: 172*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 5*i + 4. Let m be u(6). Let d be (51\/m)\/(3\/32). Let j be ((-10)\/20)\/(-1 + (-274)\/d). Which is greater: j or -69?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 6 - ((2 - -3) + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 246, 482, 812, 1236, 1754?\nAnswer: 2366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -1\/2*v**3 - v**2 + 1\/4*v**4 + 4*v + 0. Determine y(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**2 + 5*v**2 - 3*v**2 - 2*v + v**2 to the form t + i*v**2 + w*v and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -90, 0.1, 0.03?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 7, h: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/48 + (-2)\/(-8))*-1. Suppose 9*g - 8*g + 22 = q. Let b = 23 + g. Solve -6 = -t - b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 7*p - 16. Let o be x(9). Suppose -o*l + 0*l = -382. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113679498 divided by 2?\nAnswer: 56839749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 42863874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2. Let g(k) = -14*k**2 - 27893*k. What is g(s(w))?\nAnswer: -126*w**4 + 83679*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 663026 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-4) - (-638)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*v - 17*v + 35*v)*(-201*v**3 - 2*v + 401*v**3 - 177*v**3) to m*v**4 + u*v + d + b*v**2 + l*v**3 and give b.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -9176 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 25 + 28 = -0*h + 5*c - 38 + 117, c = h - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24 - (-1 - (-2 - -3)). Suppose q - 8 = 3*m. Let t = m + -3. What is the smallest common multiple of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) - 112\/(-21). Suppose d*i = 2*i + 248. Let n = -36 + i. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. Suppose -a*x + 70 = -8*x. Let s = x - -16. Solve s*c = -2, -2*r + 6*r - 2*c = -18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 12*t - 115 = 5*k, -4*k - 211 = t - 119 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -7 (b) -1\/2 (c) -4 (d) -0.565\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-8))\/((-58)\/6032).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4774003 litres to millilitres.\nAnswer: 477.4003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 69156165?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a gram in milligrams?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + -0.22. Which is the closest to 1\/3? (a) o (b) -0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 43. Suppose w - 1225 = -4*w - 5*q, -4*q = -i*w + 700. What is the greatest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -253.5032201 to one dp.\nAnswer: -253.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12360 >= 4\/129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkskskkkkkkkkskks. What is prob of sequence sk?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 r when three letters picked without replacement from vssvsvsrxsssvvrssv?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqqz when four letters picked without replacement from zeeaezeqqqaaqeaepe.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 894 and 3444135.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1050 - -1055. Let r be -8 + (-2)\/3*3. Let g = 3 + r. Sort 1, q, g in ascending order.\nAnswer: g, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 11880 (c) -0.6 (d) 3 (e) -3\/4 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 195460 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 2, -9, 2\/9, 0.11, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -36, -78, -136, -210, -300?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 14544 + 2334 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 5 + 12 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -103f4 + 2?\nAnswer: -103f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -7\/230, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a century in decades?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 673008?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -11, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43.86 and 0.07371.\nAnswer: -3.2329206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**6\/15 + 2*d**2 - 5*d. Find the first derivative of x(p) wrt p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1057202\nAnswer: 5\/1057202","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2214988 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - -22. Let a = w + -44. Is -4 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2\/13 - 148*y\/13 = 0.\nAnswer: 0, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 14) to base 10\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143080 and 22484?\nAnswer: 1573880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1953)\/(-72) + 5\/(-40). Solve -7*d + 8 = -n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*l**2 + 167*l**2 - 216*l**2 - 428*l**2.\nAnswer: -649*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1251540 and 27216?\nAnswer: 946164240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 11 = 5*n, -4*u + n - 13 = -2*u. Let y be u\/(-3 + 147\/50). What is the first derivative of -5*v + 5*v + y + 11*v**4 - 136 wrt v?\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**3 - 96 + 96.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 8. Let w be k(6). Suppose 2*m - 21 = 3*c, 3*m - 3*c = 28 + 11. Suppose -173 = -m*o + 43. Calculate the greatest common factor of w and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 170 + 26 = 0. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14624 + (24\/(-20) - 41\/(-5)). Let f = 5700145739\/86 - 66266133. Let b = f - h. Find the common denominator of -23\/4 and b.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*p**2*x - 39*b**2*x + 10*b**2 - 325*b*p**2*x - b*p*x wrt p.\nAnswer: -4*b**2*p*x - 650*b*p*x - b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 181687\/18 + -10099. Let o be 3 + (-12891)\/3432 - -1. Let s = 24\/1001 + o. What is the common denominator of s and a?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 11, -2, 195 in increasing order.\nAnswer: -2, 0, 7, 11, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18337?\nAnswer: 11, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 966*t - 132*t - 49206 = 0 for t.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 3*s**2 - 6*s + 16. Let a be p(3). Let h be (-6)\/4*(-8)\/(-6). Let w be 3*1\/(1 - h). Sort a, w, 5 in decreasing order.\nAnswer: 5, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 - (8 - 13) - -1. Which is the fourth biggest value? (a) i (b) 4 (c) 0.2 (d) -8\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, g: 3, z: 4, t: 4}. Give prob of sequence cg.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d - 6. Suppose 2*k = -2*m - 12, 3*m = k + 2*m + 2. Is s(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**2 + 0*g**2 - 2*g**2 + (3*g**2 - 4*g**2 + 2*g**2)*(-3 + 0 + 6).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 1435563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 3:27 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-807 - -784 - (-1 - 0)) + 82?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -448*s**2 + 139*s. Let o(w) = 2*w. Determine o(q(g)).\nAnswer: -896*g**2 + 278*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*h - 10*h - 13*h**3 + h**3 + 0*h**3 - 2*h**3 + (-5*h**2 + 3*h**2 + 4*h**2)*(3*h + 0*h - 5*h) - 4*h**3 + 3*h**3 - h**3.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5363\/346*(-12)\/3*1\/2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 332 - 329. Is 77 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/144489 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b6 (base 16) to base 13.\nAnswer: b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13570083*l**2 + 9745370*l wrt l?\nAnswer: -27140166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 9) in base 13?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 129. Suppose 0 = -41*u + p*u + 720. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqkk. Give prob of picking 2 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 0*o + 4*a + 66, 2*o - a - 27 = 0. What are the prime factors of (-3)\/(-1) - (o - (745 - 0))?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/2)\/((n\/((n**(-2\/11)*n)\/n))\/n*n))\/(n**(-31\/2)\/(n**(-1\/30)*n)) assuming n is positive.\nAnswer: n**(4549\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/(-3) - (-110)\/(-120))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -318 + 317. Suppose -2 = -i - 0. Put f, i, 5 in descending order.\nAnswer: 5, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3996 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3193990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(3*i - 3*i - i) + i + 0*i - 7*i + 4 - 4 - 2*i)*((2 + 0 - 4)*(0 + 0 - i) + 0*i - i + 2*i).\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -472 - 178. Let d = -1082 - c. Let q = d + 421.65. What is q rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57249637 is divided by 296.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(700)*-6)**2 + -4 + -4.\nAnswer: 100792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v**3 - 71*v**2 - 46*v - 356. Let i be a(-6). Let h be -258 + 1 + -3 - 0. Is h less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 621 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 7, x: 6, g: 1, d: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37183, -39366, -41549, -43732, -45915?\n\"Answer: -2183*k - 35000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -282, -428, -574, -720?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39727 + -39724. Let n = 4 - 4.7. What is the biggest value in 0.4, n, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 14*j**2 + j - 14.\nAnswer: -(j - 14)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21447716243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1881\/(-6))\/3*-4. Suppose 5*g - 21 = 2*g. Let u(v) = 2*v + 24. Let o be u(g). What is the highest common factor of m and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4270)\/(-56) - (10\/8 - 1). Suppose -3*v + 196 - c = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/23742 and 67\/5892.\nAnswer: 23314644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120\/(-36)*24732\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 23*p + 3*u = -2, -6 = -p - u. Suppose -4*i + 4 = -4*h + 24, -4*h + p = 4*i. Solve 2*w - 4*y = 4, h - 4 = -5*w + y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 72?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 10.3. Let r = -5.9 + 6. Let z = 0.2 - r. Sort z, 1, l in ascending order.\nAnswer: z, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2174645, 4349288, 6523931?\n\"Answer: 2174643*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -m - 8, t - 4*m = 7 - 3. Let y(x) be the second derivative of x**3\/6 + 5*x**2\/2 + 5*x. Let f be y(-4). Solve g + s + 3 = -2*g, g = t*s - f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*z + 145.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 622 = -1746. Let d = 157 - l. What is the remainder when 53 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 26*k + 287. Determine n(14).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -905111*b*p**3*x**2 + 3*b*p*x**2 + 2682*p**3*x**2 + 2*p**3*x - 2*p**2*x**2 + p**2*x - 39*x wrt b.\nAnswer: -905111*p**3*x**2 + 3*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21497\/(-21497)*((-6)\/(-152))\/((-1)\/(-4)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 8 + 16. Let c = -2 - u. Suppose 0 = -p + c*p - 180. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 45561768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 619.7806 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 24. Put s, -10, 2\/15 in descending order.\nAnswer: 2\/15, s, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, q: 4, m: 3}. What is prob of picking 1 q and 1 b?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -372 + 376. Find the second derivative of -8*t**4 - t + 6*t + 5*t - 20*t**3 + 6*t**x - 2 wrt t.\nAnswer: -24*t**2 - 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 + 129215?\nAnswer: 129266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/7, 0, -29, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 - 3*c**3 - 3*c**3)*(2 - 2 + 2*c) + 2*c**2 - 2*c**2 + 2*c**4 + 4*c**2 - 4*c**4 - 4*c**2 - c**3 + c**3 - 2*c**4 - c**4 + 0*c**4 - 2*c**2 + 3*c**2.\nAnswer: -9*c**4 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43626 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9066600 rounded to the nearest one hundred thousand?\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/6384 and -59\/224.\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*v + 155*v - v + 91*v.\nAnswer: 217*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 90.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1827684 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 {x: 1, o: 1, i: 1, a: 1, f: 1}. What is prob of sequence xaf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 2*f + 10, 0 = -l - 3*f + 15. What is the tens digit of (24 + l - -1) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28037 = -96*c + 1315*c for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 4\/7, -0.1, -9.4, -0.3?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753 - 753 - 25*n**2.\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 6823 = -2*u - 6915, 2*p - 18 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8\/(x**3*x))\/(x*x\/(x\/(x*x**12))*x*x**11\/x) assuming x is positive.\nAnswer: x**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**2 + 5*u. Let k be j(5). Let i = 10 - -72. Let n = i + k. What is the nearest to n in 1, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -4. Let r be (-9)\/(-3) + -1 - 1. Let n be 2\/(-24)*(-16)\/6. Sort n, b, r in decreasing order.\nAnswer: r, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**1\/o*o))**(-44))**(2\/59))**(-2\/21) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114466 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1800)\/(-32) - (-2)\/(-8). Let y be k\/24 + 4\/6. Suppose -v + 5*n = -45, 68 + 47 = 5*v - y*n. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-548*j + 1327*j + 622*j)*(4*j**3 + 2*j**3 - 7*j**3) - 4*j**4 + j**4 + 4*j**4 to the form z*j**3 + g + l*j + i*j**2 + h*j**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let l(d) = -2*d**3 - d**2 - 4*d + 3. Let o(z) = l(z) + 6*s(z). Is o(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6490 - -6489.7. Which is the closest to -2? (a) 0.04 (b) 0 (c) p (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5334, -5501, -5668, -5835, -6002, -6169?\nAnswer: -6336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 + 3*w**3 + 3*w**3 + (-46*w**2 + 1212*w - 1212*w)*(-10 - 5*w + 10).\nAnswer: 232*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 11*j + 2. Let f be z(-11). Let u = -39.2 - -39. Which is the third biggest value? (a) u (b) 0 (c) -2\/7 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3878806 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: Let r(m) = -m**2 + 6*m - 11. Let f be r(5). Let h be -7 - (1*f)\/2. Which is the biggest value? (a) h (b) -1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*t**2 - 16*t + 16*t.\nAnswer: -41*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 48*b + 333 = 17*b, -2434 + 2474 = f - 4*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/435 + 848\/4785. Let g(z) = z**3 - 4*z**2 + 5*z - 7. Let i be g(3). Which is bigger: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2 - 16878*u + 23738907 = 0. Calculate u.\nAnswer: 2813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 10 - 2 = 0. Suppose k = -5*c + 12. What is the derivative of -1 + 3*i**c - 5*i**2 + 2 wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*a - 4 = 0. Suppose 2*o - 6 = c - a, 0 = -o - 2*c + 1. Suppose -t = 3*h - 21, o + 2 = -2*t + 3*h. Solve -3*j - 17 = 5*q, j - 3*j + q = -t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**5\/120 + v**4\/36 + 8*v. Suppose z(g) = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204311 - -4313?\nAnswer: -144443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7547.211cm?\nAnswer: 75.47211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2805\/(-1) + 0\/(-2). Let j(g) = -207*g - 12. Let b be j(9). Let n = v - b. What is n rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -181*g + 2523. Give a(13).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*u - 75*u - 4*x = -28, -3*x - 83 = 4*u - 2*x for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y**3 + 1. What is the least common multiple of (-9 + 90\/20)\/(((-150)\/940)\/5) and b(-1)?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u - 2*f + 28 = 0, 5*f + 44 = 2*u. Suppose -2*o = o - u. Let m = o - 0. Solve 0 = 4*k + v - 24, 0*k = -m*k + 5*v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -86, -3, -2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/40)\/((-49)\/70)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/4)\/((-18)\/72). Suppose v + 29 = -4*a, -4*v + r*a - 211 = -0*a. Let x = v + 86. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 831673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**30)\/c**3 assuming c is positive.\nAnswer: c**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4394 - 4394 + 519*v)*(-3*v + 7*v - 2*v).\nAnswer: 1038*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 337982915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (5 - 4)) + 0 + 11 - (-1543 - -1583).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -1, -1\/53, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0*a - 6*a + 10*a + 4*a**3 - 8*a**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 225 + 601. Let w(d) = -413 + b + d**2 + 9*d. Let j(i) = 2*i**2. Calculate j(w(q)).\nAnswer: 2*q**4 + 36*q**3 + 162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9174, -18348, -27522, -36696, -45870?\n\"Answer: -9174*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64.07*0.0288.\nAnswer: -1.845216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 - ((5 - 21) + -1). Solve -j*f = 88 + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72935100 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**3 - 1130*d**2 + 2254*d**2 + d**5 - 1138*d**2)*(-4 - 1 + 3).\nAnswer: -2*d**5 - 14*d**3 + 28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3601783 decades?\nAnswer: 43.221396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 10*w**2 + 10*w - 19. Let s be n(-11). Let c = s + 7. Put 3, -2, c in decreasing order.\nAnswer: 3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -76, -115, -168, -241, -340, -471?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 201122102 (base 3) to base 15\nAnswer: 439b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:33 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 29*c**3 + 4*c**2 - 2*c + 4. Calculate the remainder when r(2) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75005.5 years to months.\nAnswer: 900066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 265524 < 265524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 - 63. Let w(v) = 3*v**2 - v. Let l be w(1). Suppose -u - 8 = -l*u. What is the remainder when f is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23873797?\nAnswer: 17, 53, 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - z - 2. Does 8 divide v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*h - 7 + 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = 4*b, -b = 4*o + b - 36. Suppose 4*r + 24 = o*r. 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 r(q) = -6*q + 64. Let p be r(12). Let j be ((-14)\/4)\/(((-36)\/p)\/(-9)). Suppose 4*x + j = 19. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84 + 80 - 63*q**2 + 83 - 249 to the form s*q + f*q**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p**28*p)\/p*p**13*p*p\/p**(-3)*p\/p**(-5) assuming p is positive.\nAnswer: p**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 228*z**5 + 124*z**3 - 10654*z**2 - 2*z?\nAnswer: 13680*z**2 + 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = 507*b + 153*b - 2222. Solve -45*m + 3 = -6*z - 48*m, -b*m = -z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2244*i**3 - 2*i**2 + 283*i - 30168697 wrt i.\nAnswer: 6732*i**2 - 4*i + 283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1113.77374 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/17464 and 43\/8732?\nAnswer: 17464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2218.24 - 2218. Round y to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/30)\/(0 + -3 + 5).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 3*x - 6. Let w be 6\/(-2) + (5 - -4). Calculate the remainder when a(5) is divided by w\/(-3) + 6 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a77 + 0?\nAnswer: -5a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 81036.55 years in months?\nAnswer: 972438.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2462 + 2857. Calculate the remainder when f is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 144 + 4581?\nAnswer: 4715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.07, -3, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981071 is divided by 163507?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3430\/1029*(4\/(-10) + (-3)\/(-120))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + p = 49, -2*p + 0*p + 80 = -5*h. Let n be (10\/(-3))\/(2\/h). Suppose 3*w = -3*w + n. Solve 5*g = -i + w, 3*g = -i + 2 + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 139.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-1 + -1))*-1. Let c = -2.45 - -2.35. What is the nearest to r in 2, -2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 at most -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12287364*r**3 + 1065*r**2 + 3501 wrt r?\nAnswer: -73724184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -54. Suppose -5 = m*p - 26. Solve 0 = -y - p + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glpl when four letters picked without replacement from lpglgglg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*g**5 + 1088*g**4 - 676534*g + 9.\nAnswer: -160*g**3 + 13056*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/4 + g**3\/4 - 3*g**2 - 7*g - 4 = 0. What is g?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4051?\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/132 and 43\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/7)\/(1\/(-12)). Suppose 5*g = -i + 21, 2*g = -4*i - 0*g + w. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + -14 + 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91388779 at least 91388778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-4)*3*4. Let x = z - 6. Solve -x = s - 0*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-74109)\/(-395248))\/((-6)\/112)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14 and 0.13125?\nAnswer: 14.13125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 222 + -227. Let l(h) = h + 1. Let y be l(2). Put y, -3, x in descending order.\nAnswer: y, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*h**2*p**2 - 3*h**2*r - 683*h**2 + 6*h*p**2 + 38600*p**2*r + p - r wrt r.\nAnswer: -3*h**2 + 38600*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38338539 and -0.1.\nAnswer: -38338539.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1253 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = 0, 0 = 5*h + 2*w + 35 + 15. Let f(u) = u**3 + 11*u**2 - 10*u + 15. Determine f(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 727935408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventy-five halves of a microsecond?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (35 - (46 + -12 + -23))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyoyyoyoooooogoyo. What is prob of sequence yoy?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1872269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 8 + 4 - q)*(q**2 - 5*q**2 - 2*q**2).\nAnswer: 6*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.041 and 90765.\nAnswer: 3721.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 + 5*b - 3. Calculate g(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/7 + 27926658*n\/7 - 194974556762241\/7 = 0 for n.\nAnswer: 13963329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19858229 to four dps.\nAnswer: 0.1986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 2*z + 19 = 5*d, 0 = 13*z + 3*d + 2*d - 139 + 52 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(-60)\/(-135).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 457123\/24 - 19050. Calculate the common denominator of p and 67\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -2.2. Let j = u - 2. Let i = -1 - -2. Is i at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1435246 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2702 and 56?\nAnswer: 10808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**2\/2 - 16*i + 9. Let k be m(18). Determine d so that -3*d**5 + k*d**5 + 5*d**4 - 369*d**2 - 6*d**3 + 365*d**2 + 8*d = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from tktx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*i = i - 2, -2*j + 4*i - 6 = 0. Let g(v) = 3*v**2 + 4*v - 82. Let y be g(-6). Suppose -2*o + 0 - 2 = 0. Sort j, y, o.\nAnswer: o, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + i + 0*i = 7979, 0 = -4*b - 4*i + 15952. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 16107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 0 (b) 220 (c) 1\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 a factor of 15499164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -3\/5, -0.15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -75. Differentiate -128*j + 128*j - 2*j**4 + x wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2617, 5181, 7745, 10309, 12873, 15437?\nAnswer: 18001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 172*a**3 - 72.\nAnswer: 516*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/64 + 47\/320. Let p be ((-2)\/(-2))\/(2 - 3). Which is smaller: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.43 - 0.57. Let u = z - -26. Let x be (1\/2)\/(5\/(-2)). Which is the biggest value? (a) 1 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.65 and 582982 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1121 + 1128. Which is the smallest value? (a) 4 (b) -4 (c) p (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 x, and 1 m when three letters picked without replacement from myyjjjyjjcxxjyjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 5)*(2 - 2 - 3*q + (2*q - q + q)*(0 + 2 - 1))*(-3 + 4 - 2) to the form k*q + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*(0*l + 1 + 3*l - 4*l).\nAnswer: -4*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 155 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14146182, -28292310, -42438438, -56584566, -70730694?\nAnswer: -84876822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 2\/(-3) + (-1170)\/(-54) + 9.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 171177 + 171257 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z - 13*z + 300 = 0. Let o(b) = 2*b**2 + 2*b - 8. Calculate the smallest common multiple of o(-7) and z.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 6:22 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (-3 + -1*sqrt(11))) + -4.\nAnswer: -1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 1) - 2 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, a: 3}. What is prob of sequence aqaq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6 = -18. Is u*(4\/(-24))\/((-1)\/158) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - ((-3)\/(-1) - 1). Suppose -17*s - 35 = -18. Put d, 4, s in ascending order.\nAnswer: s, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 5*u**4\/12 - u**3\/3 - 170*u**2 - 377*u. Differentiate w(v) wrt v.\nAnswer: 10*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/60 - 5*x**4\/24 - 6*x**3 - 20*x**2. Let a be p(9). List the prime factors of 3 + a + 580\/5.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1462682*n. Let t(i) = -303*i**2. What is t(k(v))?\nAnswer: -648249905836572*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13995 = -284*x + 23083 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 7. Let s be h\/8 - 92\/(-16). Let k = 3 - s. Put 2, k, 4 in ascending order.\nAnswer: k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/19906)\/((-4)\/(-16)). Let w be 2\/(-6) + (-14876699)\/15108654. Let z = w + n. What is the common denominator of -17\/20 and z?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2284 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 3*k + 2*r - 20, 3*k = -r - 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -720 + 1085. Let v = 365 - r. Solve -5*g = 5*l - 3*l - 16, v = 3*g + 5*l - 21 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 62*t**2 - 71*t + 2. Determine z(2).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -83684, -84599, -85514, -86429, -87344?\n\"Answer: -915*l - 82769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/7)\/z**(2\/5)*z**(1\/9)*z**(3\/7)\/z assuming z is positive.\nAnswer: z**(-136\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y. Let x(b) = -29*b. What is x(l(h))?\nAnswer: -116*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -43439, 1.\nAnswer: -43439, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = o - 3*y, 2 + 1 = y. Let f = o + 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 13*z - 18 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711100 is divided by 719.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(32) + 4.\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*c - 1. Suppose 0 = -0*a + a - c. Suppose -3*i = m - 19, -4*m + a*i + 3*i = -76. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.2895 rounded to one decimal place?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -0*h. Let a(w) be the second derivative of 0*w**4 + 0*w**2 + 0 + 0*w**5 - 3*w + 1\/21*w**7 + 0*w**6 + h*w**3. Let a(u) = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -2 (b) -0.63 (c) 2\/612427\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**6\/780 - 11*g**5\/390 + 2*g**4\/13 + 12*g**3\/13 + 41*g**2. Determine u, given that a(u) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.9 + -4.7. What is the nearest to 0.1 in 4, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10570)\/(-164780) - 38\/2033?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.012 and 261.8?\nAnswer: 261.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*n + 4*n + 13 = 0, -m + 2*n + 5 = 0. Solve -h - m*s = 0, h - 4*s = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p - 3. Let t(k) = 7*k + 2. Let h(c) = 5*f(c) + 4*t(c). Let w be h(-6). Suppose -2*j = w - 15. Solve -25 = 5*m, -l - j*m = -0*m + 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4740560 + 0?\nAnswer: 4740560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-544)\/(-18) - (-2)\/(-9). Let d be (y\/(-12))\/(1\/(-2)). Suppose 25 = d*r - 15. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-6))\/((-8)\/18). Suppose n + 0 = j - 3*m, m + 23 = 4*j. Let k be j*(-2)\/8*-2. Solve 0 = 2*a + k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.6 times -300\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462925053 is divided by 4224?\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y - 9. Let v(n) be the first derivative of 5*n**2\/2 + 6*n - 439. What is -5*c(g) - 7*v(g)?\nAnswer: 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.959 - -0.041. Let m = -3.00416 + b. What is m rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1085.3 and -5.\nAnswer: 1080.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3816069636 to the power of 1\/2, to the nearest integer?\nAnswer: 61774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + d. Suppose 5 = -4*v + 5*l - 22, 5*l = -5*v. Suppose 0 = h - 0 + 4. Put v, d, h in increasing order.\nAnswer: h, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n + 71. Let w(q) = 11*q - 214. Let d(p) = -7*g(p) - 2*w(p). Let k be d(17). Suppose k*v = 27*v + 54. Let z(b) = b - 2. Calculate z(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6907661 to the nearest integer?\nAnswer: 2628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.5, 0.4, -8\/23, -2\/63, 16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/18*-70 - 8\/(-36) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -158\/4199631?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114074 is divided by 114071.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*c - 56 = -194*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1120 and 240.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -2*v**3\/39 - 788*v**2\/13 - 1574*v\/13 - 1999. Factor m(u).\nAnswer: -2*(u + 1)*(u + 787)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - s + 2. Let d be l(0). Let b(w) = -w**3 + 2*w**2 + 2*w - 2. Let p be b(d). Solve 12 = -5*g + p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/48 - 2398\/(-16). Suppose l + 150 = 15*p. Let w = 103 + -3. Calculate the greatest common divisor of w and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 + -1202210102?\nAnswer: -1202201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124 + -127. Sort 2, -1, -0.5, v in descending order.\nAnswer: 2, -0.5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -9.07.\nAnswer: -36.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/74 and 7144 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4945 minus 0.2?\nAnswer: -4945.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1344 + -1334. Solve -6*n + p + 25 = -n, -2*n - 2*p + y = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**3 - x**2 - 3*x + 2. Let a(t) = t**3 + t**2 + t - 1. Let f(q) = 2*a(q) + v(q). Let r be 15\/25 - 2\/(-5). Give f(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(0 + 0 - o + (1 + 1 - 3)*(-3 + o + 3) + (28 - 28 - 16*o)*(3 + 1 - 6)) to j + s*o and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2262\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 874349253 a multiple of 2077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -23*d**3 - 5*d**2 + 12*d + 12. Let v(k) = -50*k**3 - 11*k**2 + 26*k + 25. Let r(g) = -13*s(g) + 6*v(g). What is r(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 35*l = 11684 - 2900. Let z(w) = 23*w - 5. Let o be z(6). Calculate the remainder when l is divided by o\/14*4\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608507 a multiple of 939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 33. Let t be ((-86)\/v)\/((-3)\/12). Suppose t*p - 15 = 40*p. Solve 2*u = 2*n - 8, 2 = -5*u - p*n - 28 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 a factor of 118944300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -2. Let i(n) = -n. Let x(c) = 7*c + 1. Determine a*x(p) - 6*i(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1332\/41 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 39 (c) 44 (d) 3\/10 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 5*j = 194, -5*o - 22420*j + 22419*j - 92 = 0 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128768.841237 - 128769. Let y = w - 0.101335. Let v = y - -0.26. Round v to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*j = 11*j + 210. Solve -25 = -j*s - 4*p - 4, -2*p = -2*s - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3*q*z**2 - 2*m**3*z**3 - m**3*z**2 + 17949*m**2*q - 2*m**2*z**3 + 35699*q*z**3 + 5*q*z**2 wrt z?\nAnswer: -12*m**3 - 12*m**2 + 214194*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1051 (b) 19.8 (c) -0.9 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45004, 44739, 44474?\nAnswer: 44209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 24456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/(-180))\/((-2)\/3). Let l = 0.832 - 1.232. What is the closest to l in 0.5, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 10 + 11 + (10 - 18)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3383827*x**3 + 19073467*x wrt x.\nAnswer: -20302962*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 25, -o - 4*o - 5 = -5*g. Let q be 2*-1 - 16\/g. Suppose 156 = 4*z - 4*r, -z - q*r = -2*z + 41. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13701 and 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2614 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*l = 60*l + 564 - 84 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rki when three letters picked without replacement from {r: 4, v: 7, k: 1, y: 1, i: 1, x: 4}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -15. Let h = -23 - -39. Let k = h - 15.7. What is the third smallest value in k, -5\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 0, 4*h - 2*h - 4*m = 706. What is the remainder when h is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/((-980)\/14)*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1488 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 33. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -186, 3, -19, -10 in increasing order.\nAnswer: -186, -19, -10, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*d**2\/17 - 300484*d\/17 - 643830\/17.\nAnswer: -2*(d + 21461)*(7*d + 15)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 83304 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*n + 700*n - 356*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -507*t**3 + 1890. Let m(s) = -s**2. Calculate f(m(x)).\nAnswer: -1521*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -281 + 723. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -447511, -447522, -447533?\n\"Answer: -11*r - 447500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q - 16. Let r = 95 - 89. Calculate the highest common divisor of r and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6047 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12002020 + -1022111?\nAnswer: 10202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*v + 10. Let s(w) = w + 8. Let h be s(v). Sort h, -5, 5.\nAnswer: -5, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 1. Let b be z(-1). Suppose b*y = -2*y - 16. Let a(v) = -v**3 - 8*v**2 - 8*v - 5. Is a(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*i + 40 = 0, 4*i + 135 - 135 = 0 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -71. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - 9 - -54 - 21) + (3 - 54)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 2*s**2 + 1. Let x be 2\/(-2)*(2 + 0). Let y be g(x). Let o(j) be the first derivative of j**2 + j + 114. Determine o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*13\/(364\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/31 (b) -132 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3231 divided by -1?\nAnswer: 3231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5.7. Let i = k - 6.3. Let d = 6146.5 + -6146. What is the third smallest value in -3\/7, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -637 in -0.1, -5, -7\/2, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 970\/97 - ((-30)\/4)\/(23\/46)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3280*k**2 - 4732*k**2 - 2*k + 2*k - 2*k**3 - 20143*k**2 as z*k + h*k**3 + n*k**2 + a and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/7)*o**(1\/11) assuming o is positive.\nAnswer: o**(29\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.241 - -20.2335673. Round j to five decimal places.\nAnswer: -0.00743","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10704*c - 3*q = 10709*c - 30, 0 = -q - 5 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111323100 + -11?\nAnswer: 111323023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**3 - 17*g**2 - 53*g. Let a be n(-5). Put a, 26, 3 in ascending order.\nAnswer: a, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.922 - -0.493. Let w = -0.94 + c. Round w to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y = 54*y - u + 13, -6*u - 22 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((12 - 8 - 3) + -3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 5*s + 4*s)*(-4*s**2 + 6*s**2 + 0*s**2) - 3*s**3 + 0*s**3 + 2*s**3 + 5*s - 5*s + 5*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -20*12\/(-18)*((-44670)\/(-20) - 9).\nAnswer: 2, 5, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 819*h - 768*h + 1989 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*u + 2*i, -4*i - 5 + 18 = 5*u. Find the common denominator of -1 - (0 - 166\/8) and u\/(-4)*41\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -502335 > -367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.091 smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) -0.3 (c) 0.011 (d) -15 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258379*k + 258371*k = 120 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*u - 9, -7*p + 9 = -3*u - 12*p. Solve -4*i + 7 = -i - u*l, -l = 3*i + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/((-10)\/(-225)) + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyny when four letters picked without replacement from nynnynnwwnn?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/7))**(-32))**(-1\/66) assuming t is positive.\nAnswer: t**(80\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f - 6. Calculate b(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1948 in 0.2, -5, -1, 1, 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*(-8)\/(-30) + 33900\/(-6390).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(121)*5)\/sqrt(11).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 4:47 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 - -221. Let l = b - 143. What is the nearest to l in 0.2, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/87 and -149\/8979144.\nAnswer: 260395176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 8:57 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 890855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (456\/(-1596))\/((188\/7)\/(-4))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - -2*sqrt(320))\/sqrt(8))\/((sqrt(96) + 2*sqrt(96) - sqrt(96))\/sqrt(12)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 9. Factor -b**2 - 3*b + b**2 - 5*b**c + 2*b**2.\nAnswer: -3*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 8*m**2 + 2*m + 16. Let t be y(-8). Let d(o) = o**3 + o + 4. Calculate d(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 6923?\nAnswer: 6923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10405, -21231, -32057, -42883, -53709?\nAnswer: -64535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.68 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -1, -0.4, 2\/1603, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3. Let w = 84 + -80. Let v be 154\/(-56) + w\/(-16). Let m(u) = 9 - 3*u - 1 + 2*u. Give v*m(f) - 8*k(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12230 and 20.\nAnswer: 24460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 264401 (base 7) to base 6\nAnswer: 1021325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.013 - 1.013001509. What is b rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o + 3. Let z be u(-3). Solve -5*v - 3 = f + 3, -2*f + 2*v + z = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 10*c - 11. Let p be z(9). Let k(s) = -s**3 - 3*s**2 - 3*s - 1. Let a be k(p). Sort -1, a, -7 in increasing order.\nAnswer: -7, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h - 26 = 5*i, -h - 4*i = 13. Suppose 5*q + h = -2. Suppose 0*c + 2*s = -c - 4, 2*s = -4. Put c, 2, q in decreasing order.\nAnswer: 2, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a minute?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 v, and 1 z when four letters picked without replacement from zvjjjvvvvjjvjjzjz.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 9630 + 2000. Suppose -4*w + 2*q + z = 0, 0 = w - 6*w - q + 1345. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-15)\/3 - -1122 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 3*t**2 + 2*t**2 - t)*(-1 + 1 + 2*t).\nAnswer: 6*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*r + 2*d, 0*r + r - 13 = -2*d. Let o(t) = t - 3. Let l(i) = -i + 2. Let c(a) = -4*l(a) - 6*o(a). Let j be c(4). Sort -2, r, j in ascending order.\nAnswer: -2, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 404 = 3*f + 4*k - 425, 5*k = -5*f + 55 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*k = -465, -2*k + 7*k - 319 = -2*f. Calculate the remainder when f is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 14 = 16. Suppose -q = 3 - w. Let u(g) = g**3 - g. What is the units digit of u(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*w + 625, -2*w + g = -0*w + 262. List the prime factors of (-1)\/(1\/w*1).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 36*u**2 - 37*u - 65. Let b be t(-35). Let l(c) = c**3 - 4*c**2 + 3. Give l(b).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from {k: 3, a: 2, f: 1, v: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**6\/120 + k**5\/20 - k**4\/6 + 5*k**3\/6 - 3*k**2. Determine s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 329 - 340 + 6*u + 8*u + (-2*u + 6*u - 3*u)*(-5 + 0 + 4) - 3*u + 0*u + 5*u.\nAnswer: 15*u - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25.7, -4\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -3*f**6\/140 + 29*f**5\/70 - 247*f**4\/84 + 169*f**3\/21 - 29*f**2 + 6*f. Factor a(i).\nAnswer: -2*(i - 1)*(3*i - 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122 or -118?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**3\/3 + 100*p. Let w(n) be the second derivative of -n**3\/6 - n. Determine w(v(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogngoohogygooqgy. Give prob of picking 1 g and 1 h.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/14*(-2)\/10. Is -1\/3 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -698*o**3 + 39*o**2 - o + 13197?\nAnswer: -4188*o + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 17*n**2\/2 - 61*n - 142. What are the prime factors of o(9)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:40 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 3*u - 6*u**3 + 0*u + u**2 + (18 - 18 + 22*u**3)*(-2 + 3 - 4).\nAnswer: -74*u**3 + u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*n, -5*y + n = 6*n + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15 - 3 - 12 - (-4 - 4)) + -12. What is the biggest value in v, 2, -0.5, -2, 1148?\nAnswer: 1148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**4 + 11642*h**3 - h**2 - 32060.\nAnswer: -8*h**3 + 34926*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*r = 3*u - 8, 0 = -u + 4*r - 1. Is 16 - ((-3)\/u + -1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0359, 23, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 8*t + t)*((0 + 0 + 2*t)*(-3 + 5 - 3) - 5*t + 3*t + t - 6*t + 3*t - 4*t) in the form g + m*t + s*t**2 and give s.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 446, -4, -5, -1 in increasing order.\nAnswer: -5, -4, -1, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 7, t: 1, z: 1, a: 3}. What is prob of sequence ztb?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1401 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -1 + sqrt(153) + -2 + -3 + 0)**2.\nAnswer: -72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.58 - -0.88. Let o = k - -1.4. Which is the fourth smallest value? (a) 0.4 (b) o (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3515362 is divided by 1501?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 10*p**2 + 23*p + 131. Calculate x(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 14306122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 237651530 to the nearest 10000.\nAnswer: 237650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1943 + 2095. What is the lowest common multiple of 12 and i?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 12*u**2 + 13*u + 15. Let h be y(-11). Let w = 81 - h. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/13 at least as big as -3041\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/23? (a) -5 (b) -4 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1864324263*y + 72*y**2 - 28*y**3 - 1864324263*y - 72*y**2.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a - 7. Let h(y) = -2*y + 6. Let b be h(4). Let k be g(b). Let o = 27 + -23. Sort k, o, -0.03 in decreasing order.\nAnswer: k, o, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -0.5 (b) -3\/17 (c) -1 (d) -142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 427580 divided by -106895\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 40*r = -2518. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 17*w + 10. Let x be m(-16). Is 40\/6*(-3 + (-63)\/x) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*z = -2, 17 = 2*t + 2*z + 19 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-648)\/(-3294))\/((-3)\/214) - (531 + -545).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16790 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: -3.5*-0.068\nAnswer: 0.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -944, -942, -940?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 750208 by -2.\nAnswer: -375104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 13*m - 10. What is n(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5619, 11203, 16781, 22353, 27919?\n\"Answer: -3*o**2 + 5593*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(12\/9*63\/(-84))*(-2)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 9 - 3. Let s be (n + -12)\/((-1)\/2). Solve -5*j + 5 = -s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - p. Let n(l) = -3*l**2 + l + 2. Let b(c) = -n(c) + 2*y(c). Let z be b(4). What is the tens digit of z\/(-2)*(-3 + -21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003039966 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8568818051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26466 is divided by 226?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37268, -37263, -37248, -37217, -37164, -37083, -36968, -36813?\n\"Answer: u**3 - u**2 + u - 37269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108514*p**2 + 217394*p**2 - 108895*p**2.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9648960?\nAnswer: 2, 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - 2*p - 9*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-1)\/2). Let t be (-3)\/5 - (-2)\/(-5). Let h(a) be the first derivative of -a**2\/2 - a + 2. Let q(r) = 2*r**2 + r + 3. Determine l*h(u) + t*q(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = -4*a + 134. Suppose a = z + 143. Solve 2*b + b + z = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 2*f - 1. Let u be n(-1). Suppose 47 + 9 = 4*w. Let y = w - 14. Solve y = -u*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7}. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 15*p**2 - 5*p + 17. Determine q(-15).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201003 - 3?\nAnswer: -201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 2*d + 2, 2*a = 4*a - d + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1197 (base 13) to base 11.\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -25*y**4\/12 + 7*y**3\/3 + 2*y**2 + 9*y. Differentiate f(n) with respect to n.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 1:48 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 241 - 241.241. Let c = d + 3.121. Round c to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + (5 - (7 - 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88947 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 40\/7 (c) 0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(32)*2) + (((sqrt(18) - sqrt(2)) + -5 - sqrt(2))*3)**2.\nAnswer: -719*sqrt(2)\/8 + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28293740 a multiple of 1282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29288 and 2.\nAnswer: -58576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0*j + 28*j + (-3*j + 5*j - j)*(-3 - 1 + 3))*(j**4 + 4 - 3 + j**4).\nAnswer: 56*j**5 + 28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -147, -3, 5, 13.\nAnswer: -147, -3, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**4*r + 126*l**3*m**2*r - l**3*r - 14*l**2*m**2 - l**2*r + l*r wrt l.\nAnswer: 24*l*r + 756*m**2*r - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13390.5mm to kilometers.\nAnswer: 0.0133905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 451073342 to the power of 1\/2, to the nearest integer?\nAnswer: 21238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 6. Let h = w - 14. Suppose -3*i + 88 = -2*f, i = -0*i + h*f + 36. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.44, 2\/25, -335, 83 in ascending order.\nAnswer: -335, -0.44, 2\/25, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2\/3 + 110*r\/3 - 104 = 0.\nAnswer: 3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0268384618 rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 7356.\nAnswer: -1\/1839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448968?\nAnswer: 2, 3, 13, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 5*z**2 - 3*z - 13. Give m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 72 - 16. Suppose 4*r = 4*h - r - 33, 4*h - 42 = 2*r. Calculate the remainder when b is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*b + 4*b**2 + 4*b**2 - 6*b**2 + 101*b.\nAnswer: 2*b**2 - 55*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 s when four letters picked without replacement from qszqqsqsqssqqsssqsss?\nAnswer: 88\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 23907*z**3 + 2*z**2 + z + 10. Let p(c) = 3*c + 14. Suppose 0*v + 35 = -5*v. Let y be p(v). Let t be r(y). What is t rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**4 + 2*s**3 + 3*s**2 - 2*s - 2. Let b(y) = 16*y**4 + 9*y**3 + 16*y**2 - 8*y - 11. Let t(u) = -4*b(u) + 22*q(u). Find k such that t(k) = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.7 (b) 3\/5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*v - 9 = 0, 2*f + v + 3 = 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-21)*39 - (-57 - -43).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91283821?\nAnswer: 91283821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) -2\/9 (c) 1 (d) 3 (e) 304\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m\/m**(-2))\/m*m)*m*m\/m**4*(m*m*m**(1\/4))**(3\/11) assuming m is positive.\nAnswer: m**(-149\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11223 by -387.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + 35*v - 5. Let t(r) = -r**2 - 35*r + 4. Let d(o) = -4*m(o) - 5*t(o). What is the second derivative of d(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**5 + h**3 - h**3 + (26*h**2 - 3*h**2 + 2*h**3 - 13*h**2)*(3*h**2 - 2*h**2 - 3*h**2).\nAnswer: 2*h**5 - 20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -7)\/((23816\/(-468) + 51)*27\/42)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 8. Let h be q(-6). Find the third derivative of 4*z**3 - 2*z**3 - 6*z**3 + 5*z**h wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = 4. Suppose i = -v*b + 3*i + 62, -b + i = -21. Solve q + b = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 16 = 2*d, 7*s - 2*s - d = -28 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-216)\/(-90))\/((-74)\/80 - -1) and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 434.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 - 20 + 20)*(8 - 8 + j) in the form b*j + w and give b.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and -0.59.\nAnswer: -28.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28742484 divided by -6.\nAnswer: 4790414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - -4. Let z(s) = 4*s**2 + s + 5. Let u be z(-4). Calculate the highest common divisor of u and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795406 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 155 - -19. Suppose 4*t - c = -2*t. Let u = 31 - t. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343)*1*-5 + sqrt(343)*-3*1)*6 + 5 + -3)**2.\nAnswer: -1344*sqrt(7) + 790276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Calculate the greatest common divisor of y and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12304839?\nAnswer: 3, 23, 151, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4523 - -4533.74. Round m to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 7*y**2 - 42. What is b(-10)?\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276 and 10932.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z*z**(-6))*z)\/(z**(-11\/4)*z) assuming z is positive.\nAnswer: z**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**2 - 15*p - 33. What is the remainder when z(-2) is divided by (-16)\/6*(1 + -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - 2*x - x + 0*x - x + 0*x - 2*x + 4*x + x + (-2 + 5 - 1)*(-4*x + 0*x + 3*x) - x + 4*x - 2*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -295428603, -590857201, -886285799?\nAnswer: -1181714397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/24)\/((-2)\/6). Suppose -d*v + o = v - 10063, 2017 = v + 2*o. Suppose 0 = 5*w - 4*n - v, 3*w - 4*n - 810 = w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 4*a**2 - 3*a + 6. Let y be l(3). Suppose 46 + 62 = y*n. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21158?\nAnswer: 2, 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -18. Suppose -u = r - 13, -64 = -r - 4*r - 4*u. Solve -f*p + 3*o + r = -p, -o = -3*p - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 13) to base 2\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 8*k**2 - 7*k - 13. Determine s(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 8*o + 5. Suppose 4*j + j + 44 = 2*q, -2*j - 4*q = 8. Calculate d(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w, -2*w + 3 + 9 = -2*v. Calculate the remainder when 46 is divided by v\/10 + 1054\/170.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4087 is divided by 145.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52.5 - 53. Let o = -2 - -7. What is the smallest value in o, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35919 by 13.\nAnswer: -2763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144704259.\nAnswer: 3, 7, 193, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 15*u - 161. Let d be p(11). Sort 192, d, 1 in descending order.\nAnswer: 192, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - s**2 + 0*s**2 + 167 + 292 + 469 to the form h + t*s + r*s**2 and give h.\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 + 21*q + 21. Let k(i) = -i**2 + 20*i - 39. Let b be k(18). Let j(n) = n + 1. Let p(l) = b*x(l) + 63*j(l). Let v(a) = 3*a. Give p(v(s)).\nAnswer: 81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 69296338 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z + 3*z - 1 + 0 - 2. Let s be f(-6). Let v(o) = 0*o - o + 2*o**3 - 3*o**s + 7*o**2 - 6. Give v(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 8*k**2 + 6*k + 45. Determine n(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -205 - -400. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -121.7?\nAnswer: -121.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -102*l**2 - 5\/336*l**8 - 1\/14*l**7 + 1\/4*l**5 + 0*l**3 - 1\/24*l**6 + 5\/12*l**4 + 0*l + 0. Determine g so that t(g) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6)*i)\/i)**46\/(i*i**12*i\/i**(-7\/8)*i) assuming i is positive.\nAnswer: i**(-2335\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 11) in base 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 283*b*m - 47*m with respect to b.\nAnswer: 283*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*(-61)\/(-427)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/11, -2, 5, 795.4.\nAnswer: -4, -2, 2\/11, 5, 795.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.03, 3\/8, -3\/29?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -9. Let t(v) = v**2 - 12*v - 6. What is the units digit of t(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of z**2 + 7794120*z + 119083909 wrt z?\nAnswer: 2*z + 7794120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -13 (c) -2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180611, -722454, -1625525, -2889824, -4515351, -6502106, -8850089?\nAnswer: -11559300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*k + 7*k. Suppose 0*m + 5400 = 2*m - k*a, 10812 = 4*m - 4*a. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**8\/120960 + b**7\/630 - 49*b**6\/4320 + 8*b**5\/15 + b**4\/24 - 6*b**2. Let j(o) be the third derivative of g(o). Factor j(a).\nAnswer: (a - 1)*(a + 49)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 286 = 3*u - 236, -2*u + 4*y + 358 = 0. Calculate the greatest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 5:00 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**6\/120 - u**5\/5 + 5*u**4\/12 + u**3\/2 - 2*u**2 + 98. What is g(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -16619?\nAnswer: 3\/16619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -29, -32, -37?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.503 + 13.431. Round j to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/51)\/(2*1\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499*r = -506*r + 86373. Let d = -3072352\/249 + r. What is the common denominator of -52\/11 and d?\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319 divided by 215862.\nAnswer: 319\/215862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 2:21 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-5)\/(-9799)) - (-52)\/260. Let o be (-4)\/3 + u\/30. What is the highest common factor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-10)\/4 - -2). Suppose 3*t = 4*o + 148, -196 = -c*t - 2*t + 4*o. Let f be (-9)\/(1 - 10\/4). What is the greatest common factor of t and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -2, 15 in decreasing order.\nAnswer: 15, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 2*i**2 - 2*i + 2. Suppose -3*k + 5 = -10. Suppose -w = -2, 4*w = t - w - k. Calculate the remainder when c(-3) is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, m: 4, n: 4, j: 1, e: 6}. Give prob of sequence mej.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -195\/8 (b) -4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -1.8. Let i = n - 1.6. Let z = 29 + -32. What is the nearest to 0 in -0.3, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002842025 rounded to six dps?\nAnswer: 0.000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + -5 - ((34 - 21) + -43).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2291914, -2291641, -2291368, -2291095, -2290822, -2290549?\n\"Answer: 273*c - 2292187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - s + s + (-41 + 11*s + 41)*(3*s - 2*s + s) - 29*s**2 - 59 + 59.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 9\/((-9)\/20). Suppose 0 = -7*s + 132 - u. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8083 > -8080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13.4771 + -0.033965\nAnswer: 13.443135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and (-52)\/(-16) - 2\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*p + 2, r + 0*p = -5*p - 7. Suppose 5*d - r = -2*b, 2*d - b = -2*b + 4. Suppose 6*t - t - 25 = d. Solve 2*m + 9 = t*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17913 + -17869. Let r = 42.644 - -1.406. Let t = l - r. What is the nearest to -1\/2 in 2, 3\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l**2 + 4*l**2 + 4*l**2 + (0*l + 3*l - 5*l)*(-32835 + 32835 - 681*l + (-3 - 1 + 2)*(-2*l - 2*l + l)) as h*l + s*l**2 + t and give s.\nAnswer: 1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-5)\/(15\/(-6)). Let q be s - -1 - (2 + -4). Calculate the greatest common factor of 5 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (6 - 13) + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/6 (b) 6 (c) -0.1 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*x**5 - 31916*x**4 - 7*x**3 - 14206313*x.\nAnswer: -120*x**3 - 382992*x**2 - 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138270 + 69136 - 2*h + 69134.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0*c - 5\/6*c**3 + 4*c**2 - 1\/12*c**5 + 0*c**4 + 0. Differentiate t(p) with respect to p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1103022?\nAnswer: 1103011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29429, 29610, 29795, 29984, 30177?\nAnswer: 30374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 229 + -149. Calculate the least common multiple of 1 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110010101101101 (base 2) to base 16.\nAnswer: -1656d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6027*x - 36314. Give z(6).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -c9d (base 15) to base 2\nAnswer: -101100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 v, and 1 f when three letters picked without replacement from {t: 1, j: 7, f: 5, v: 3}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkoookoooooookooko. What is prob of sequence kko?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 0.2938589.\nAnswer: 28.7061411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 + 2*t + 2. Let s(j) = 4*j**2 + 2*j + 1. Let z be (8\/(-16))\/((-2)\/20)*1. Let a(m) = z*x(m) - 6*s(m). Determine a(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 0*d + 0*d**2 + 2\/3*d**3 - 1\/4*d**4 - 4. What is the third derivative of i(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**5\/30 + s**3 - 3. Let c(o) be the third derivative of k(o). Is c(2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*k = -2472 - 4818. Solve -k = 10*v - 19*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453 = -7*k + 618. Let x = k - 22. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54277686 divided by -6?\nAnswer: -9046281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 29*l**2 - 19*l + 49. Is k(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341 a factor of 1713973671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 - 1. Let b be w(-1). Suppose -b*h + 31 = 10. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d**3 - 44*d**2 - 4. Let c(i) = 5*i**3 - 22*i**2 - 2. Let l = 844 + -850. Give l*b(o) + 13*c(o).\nAnswer: -o**3 - 22*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4344 (base 6) to base 16\nAnswer: -3e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137 - -187. Calculate the remainder when r is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 275 = -5*r + 924, 0 = 5*r - 3*g - 1207. Suppose -4*a - y = -245, -4*a + 3*y = -8*a + r. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021 (base 3) to base 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -720786 - 567*a + 720786 to the form m + i*a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + z + 2. Let o be u(-5). Let j = -104\/57 + 6733\/285. Let f = o - j. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307770492.\nAnswer: 2, 3, 25647541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -159552536 divided by 4\nAnswer: -39888134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 2. Let r be u(5). Let b = r + 23. Solve -3*w - 5*s - b = 0, -4*w + 3*w - s = 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -626038, -1252132, -1878226, -2504320, -3130414, -3756508?\nAnswer: -4382602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67215017.\nAnswer: 79, 850823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7 - 23408\/97020.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + 9\/6 + (-5)\/10. What is the remainder when 94 is divided by (5\/(u\/(-6)))\/((-9)\/48)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.033 * -0.3.\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/(-23) - 200\/2300. Let b(y) be the first derivative of 5\/3*y**3 - 25\/2*y**u + 38 - 30*y. Factor b(p).\nAnswer: 5*(p - 6)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3532365 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - (-6 + -1)) + (-40)\/28. Factor -w*h**2 + 2\/7 + 2\/7*h + 2\/7*h**5 - 4\/7*h**3 + 2\/7*h**4.\nAnswer: 2*(h - 1)**2*(h + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3 + 6442*s**2 - 15743*s - 2?\nAnswer: 6*s + 12884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10. Let g = n - -0.1. Which is the third smallest value? (a) g (b) -5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m + 2. Let q(u) = 8*u + 15. Let x(d) = -3. Let n(y) = 2*y - 1. Let a(z) = 2*n(z) - 3*x(z). Let c(b) = 13*a(b) - 6*q(b). Calculate 8*c(k) - 3*i(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 + -7 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2119766 to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 11. Let l be r(-11). Find the common denominator of 3 + -6*17\/l and -7\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -6)\/(65 + 76 + -100)*(-4)\/(-14)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-12)*48\/90)\/((-2)\/5080). Which is smaller: 1017 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(30\/11))\/u**(4\/5))\/(u**17*(u**(-30)*u)\/u*u))**(-4\/17) assuming u is positive.\nAnswer: u**(-2084\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 294 and 2290302.\nAnswer: 16032114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*f + 73*f - 22 = -4*x, 4*x = 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-4284)\/48))\/(4\/14)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 218. Is 35 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-2223.5\nAnswer: 66.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 18*p + 15. Let h be m(-10). Is (34\/(-3))\/(22\/h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -18*o**5 - 42*o**4 + 5548*o**3 - 3512*o**2 - 12112*o - 4864 = 0.\nAnswer: -19, -2\/3, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + v. Let k = 184 - 187. Let h(o) = 4*o - 5*o + 4*o. What is k*z(u) + h(u)?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 - 5. Let d be 1\/(((-6)\/(-8))\/3). Suppose 27 - 3 = d*c. Let u(b) = 11*b**3 + 14. Suppose 4*q + 34 = 6*q. Calculate c*u(p) + q*a(p).\nAnswer: -2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -17, -39.\nAnswer: -39, -17, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 151*n**2 + 7*n + 1. What are the prime factors of o(3)?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 10:58 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -914.028 - -912. Let l = -730 + 729.972. Let i = b - l. What is the fourth smallest value in 1\/4, 2, i, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 139?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 6*c + 221*c**2 + c**3 + 7*c - 5*c + 3*c.\nAnswer: c**3 + 221*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -5, -201 in decreasing order.\nAnswer: -1, -5, -7, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11926 - 1377*i - 11926 to f*i + d and give f.\nAnswer: -1377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - (-4 - 14)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296002901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.35 - -8.15. Sort 45\/8, 2\/11, 0.2, i in ascending order.\nAnswer: i, 2\/11, 0.2, 45\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/3 - 2728*h. Let o(n) = -n + 0*n - 4*n. Give z(o(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 9. Let h = -0.15 - -0.1. Let p = -0.05 + h. What is the nearest to p in -1\/3, 1\/6, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 9:34 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 306 or -9?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 158\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**4\/2 - 23*q**3\/6 - 6*q. Let u(m) = 2*m**2 - 8*m. Give 6*k(z) - 17*u(z).\nAnswer: 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*v = -30996, 2*g + 2*v + 5657 = -6739. Round g to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, c: 14}. Give prob of sequence tcc.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Let m = 5 - w. Suppose -m*h + h + 12 = 0. What is the remainder when h is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -139*v**2 - 2007*v - 835. What is a(-14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1177 + 1175. Put 0, 7, -3, j in ascending order.\nAnswer: -3, j, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5041736?\nAnswer: 2, 7, 90031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 7*i**2 - 7*i - 9. Is n(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -3088, 0.1, -4, 6?\nAnswer: -3088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/3, 1\/6, -3259, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than -2344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 346655 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 208?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - l - 5. Let m(n) = 6*n**2 + 2*n + 14. Give -3*m(q) - 8*v(q).\nAnswer: -2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 9*g**2 - 20*g + 90. Let q be u(9). Calculate the smallest common multiple of 370 and q\/405 - (-1)\/((-18)\/(-292)).\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 227, 134, 41?\n\"Answer: -93*c + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*j**2 - 2*j**4 - 2*j - j**4 + 4789*j**3 - 4791*j**3 + 4 as o*j**3 + f*j + h*j**2 + m + z*j**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + -3.07. Let m = 1.9 + -1. Let o = -5.9 + m. Which is the second biggest value? (a) u (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 17*z - 5*l - 22 = 0, -6*z + 30 = 4*l for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/((k**(-4\/9)\/k)\/k))\/k))**(2\/7) assuming k is positive.\nAnswer: k**(-26\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((64\/768)\/(3\/54))\/((-2)\/20)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, d: 1, w: 2, c: 4, f: 3, i: 1}. Give prob of sequence dffi.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78195 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**7\/168 - x**6\/120 + 11*x. Find i such that g(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 10) in base 2?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 32 = 12. Suppose -16 = 4*b, -u - m*u = -3*b - 27. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -354.\nAnswer: -5\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 25 + 13 + 6*i + 7 - 43. Let t(s) = s. Calculate 4*t(k) - y(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*d + d**2 - 6*d**2 + 9*d in the form g + q*d + p*d**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1073 (base 14) to base 9\nAnswer: -3811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 6, 0.2, -1\/8, 1\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 524, 436, 350, 308, 352, 524?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169745943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 7*t - 33. Calculate the remainder when 13 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*s + 26, 4*s = 4*y + y - 57. Let u be (-2)\/s*24652\/(-15). Let l = -411 - u. Which is the smallest value? (a) -1 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*u = -0*u - 170, -5*u + 10 = 0. Suppose x + 605 = 9*s. What is the remainder when s is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-62)\/4)*-6. Let p = a + 85. Is 14 a factor of p\/(-4) - 1*(-189)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**6\/120 + 13*m**5\/60 + 5*m**4\/24 + 8*m**3\/3 + 23*m**2. Let h be c(13). Let y = -57 + h. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -44, -87, -130, -173?\n\"Answer: -43*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**2. Let g(s) = 14417*s. What is g(d(h))?\nAnswer: -100919*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -176*(1\/(-2) - 0). Suppose 19 = 3*n - 5. Calculate the greatest common factor of n and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79349 rounded to 2 decimal places?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59.579991377 + 59.58. What is r rounded to 7 decimal places?\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2. Let y(w) be the first derivative of -5*w**2\/2 - 3. Determine q(y(i)).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0 = -10. Let j be (3 - 2)\/(z\/4). What are the prime factors of (-10)\/(-12)*j*6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -207*x + 6. Let w(n) = -2*n - 1. Let g(v) = -c(v) - 9*w(v). Let r be g(-18). Calculate the smallest common multiple of 24 and r\/(-133) + (-3)\/7.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(10)*3)\/(sqrt(245) - (sqrt(245) + sqrt(245)*1)) + (sqrt(168)\/sqrt(3) + sqrt(56))\/(sqrt(7) - (sqrt(7) - sqrt(560)\/sqrt(5))) + -5.\nAnswer: -5 - 2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.25 - -0.25. Let d = -12 - l. Put 1, -3\/4, d in decreasing order.\nAnswer: d, 1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*w + 3*w - 1237 = 1073. Calculate the greatest common factor of w and 12750.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105366 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**2. Let q = 29 + -23. Let a(l) = 6 - 4 - 2 + q*l. What is b(a(r))?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 202*z**2 - 508*z + 20397. Determine x(204).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3375930 and 516.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17072 and 242?\nAnswer: 187792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -1386\/569 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22720255781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 41. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**1*t**4\/t*(t**(-1\/4)*t)\/((t*t*t\/t**(-6))\/t)*(t**(-1\/4)\/t)**(-7)\/((t*t**1)\/t)**(-9) assuming t is positive.\nAnswer: t**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 1 + 5 - 2*b - 6. Let s(k) = 6*k + 0 + 3*k**2 + 0. Let y be ((-36)\/27)\/(4\/(-9)). What is y*s(r) + 8*x(r)?\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-30)\/(-504) + (11\/3 - 4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (56\/1212)\/((-5)\/(-3)). Let k = m - 46067\/4040. Calculate the common denominator of 143\/6 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20057581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12594.3519 and 8?\nAnswer: -100754.8152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 46?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/4 or 5?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = 3*i - 1195*t + 1192*t, 18*i + 5*t + 61 + 72 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 3\/4*c**2 + 1\/20*c**6 + 1\/252*c**7 + 23\/36*c**4 - 29*c + 1\/4*c**5 + 0 + 11\/12*c**3. Factor i(f).\nAnswer: (f + 1)**3*(f + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 11 = -3*q, 5*d = -5*q + 3*d - 31. Let w(i) = -i**3 - 7*i**2 - i - 5. Let n be w(q). Solve 4*f + n = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38670000 to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 5*w - 3*h + 60, -3*w - 3*h - 24 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:20 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 747343249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*y**5 + 666*y**4 + 1129*y**3 + 10*y**2 + 6860*y + 9 wrt y.\nAnswer: -2220*y**2 + 15984*y + 6774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -344*t**4 + 6*t**3 + 3*t**2 + 325*t. Let x(u) = -2*u**3 - u**2 + 2*u. Let s(q) = l(q) + 3*x(q). Find the second derivative of s(d) wrt d.\nAnswer: -4128*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 2) + (35 - 35)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in -2\/7, 2\/33, -2\/21, -8, 8, -3?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/((-16)\/60)*-1. Let w be 54\/a - -2*(-1)\/(-5). Suppose -w*x - r = -20 - 0, -5*r + 12 = -2*x. Solve x*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 16 = -3*z, 0 = -3*l + 5*z - 22. Calculate the common denominator of l - ((-188)\/48 + 4) and (-3 - 1) + 1 + 931\/168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 342, 1, -152, 292 in descending order.\nAnswer: 342, 292, 1, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, -18, -66, -164, -330, -582, -938, -1416?\n\"Answer: -3*z**3 + 2*z**2 - z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12 - (-7)\/((-210)\/25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6162324*f*q**4 + 2*f*q**3 - 24*f*q**2 - f + q**4 + 1948958*q**2 wrt q.\nAnswer: 147895776*f*q + 12*f + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i**2 - i. Let z(k) = -k**2. Give o(z(n)).\nAnswer: -7*n**4 + n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 608, 609, 610, 611, 612, 613?\n\"Answer: a + 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 1. Let q(r) = -r. Let w = 1 + -5. Let h be q(w). Let b(c) = -6*c - 3. Let a be (8\/2)\/(-4)*1. Calculate a*b(i) + h*y(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 3*h**2 + 32*h - 176. What is u(6)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 20. Suppose 17*k - 14*k - 912 = y. Suppose -6*h + k = -62. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -8) + -10 + 27 + -9 + 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -49, -166, -391, -760, -1309, -2074, -3091?\n\"Answer: -6*l**3 - 3*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 4 - 4)*(-1 + 2 + 1) + 9 + 3 + 0)*(8 - 5 + 0)*(-2*o - o + 5*o) + 2*o + 0 + 0 - 2*o + 0 + 0 + (-2*o + 5*o - o)*(1 - 2 - 1) + o - 2*o - 2*o.\nAnswer: 89*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s. Let d(i) = 20*i**2 - 2*i. What is x(d(p))?\nAnswer: -60*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 621996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 11, 0, -150, 5, -169 in decreasing order.\nAnswer: 11, 5, 3, 0, -2, -150, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38, 194, 482, 920, 1526, 2318?\n\"Answer: 3*l**3 + 48*l**2 - 9*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-927)\/(-6) - 6\/(-4). Let v be (3*8\/i)\/1. Which is the nearest to -1? (a) v (b) -0.5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = 0. Suppose -2*q = -r - 6. What is the first derivative of q - 5*j**4 + 0*j**4 + 1 wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -49*s**2 - 4*s + 2. Let g(v) = -81*v**2 - 7*v + 4. Let n(x) = 3*g(x) - 5*q(x). Let p(o) = 1. Let l be ((-1)\/2)\/(2\/4). Calculate l*n(w) + 2*p(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -659*w = 155*w - 22231 + 3509 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 85342.82 micrometers?\nAnswer: 0.08534282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 v when three letters picked without replacement from {t: 1, p: 1, v: 4, l: 3, g: 2, w: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-156))\/(230\/(-65))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 3*l. Let u = l + 1. Solve 0 = q + 2*h - u, 3*q = h + 2*h - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3829.604 rounded to the nearest integer?\nAnswer: -3830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 3.9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 1, r: 3}. What is prob of picking 1 e and 1 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -625a5 (base 11) to base 16\nAnswer: -1645c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o - 27. Determine d(-11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 smaller than 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1387628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/30 + (-4255)\/(-3). Suppose 3*f = y + 842. List the prime factors of f.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h - 32. Let w(d) = d + 14. What is 2*w(v) + x(v)?\nAnswer: 7*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2))**47)**33*((t*t**8)\/(t**1\/t))\/(t*t\/(t**2*t)*t*t**(1\/7)*t) assuming t is positive.\nAnswer: t**(-10747\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00100628 rounded to 5 decimal places?\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22878 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7)\/y*y**6)**(1\/2))**46 assuming y is positive.\nAnswer: y**(759\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 130839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence raa when three letters picked without replacement from {r: 13, w: 2, a: 5}.\nAnswer: 13\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 270*v**2 - 2181*v - 6. What is t(8)?\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 - 113. Suppose t*s = s + 147. Let v = 29 - -8. Calculate the remainder when v is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/9)\/((-2)\/24). Let n(b) = b - 2. Let s(f) = 14*f + 34. Let u(m) = 4*n(m) - s(m). Is u(g) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131720777 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*i + 16*i + 8*i - 33 - 10 wrt i?\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392 and 17295096?\nAnswer: 121065672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*g - 11*g - 4*f - 18328, -3*f = -2*g + 7341. Is g a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = k - 4*j - 121, 3*j = 3*k - 345. What is the remainder when 663 is divided by k?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12\/5*n + 14\/5*n**2 + 0 - 2*n**3 - 14\/5*n**4 - 2\/5*n**5 = 0. Calculate n.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x - 6*x + 6*x)*(1 + 1 - 1)*(3 - x - 3)*(4 - 2 - 4).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178*l + 94*l + 86*l - 3)*(2*l + 3*l - 3*l).\nAnswer: 4*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23150741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 38389?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167 + 209. Calculate the highest common divisor of 30 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yakn when four letters picked without replacement from aynkykkkkykkkky.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-5) + 3\/(-5). Suppose 0 = v*d + 2*d - 15. Suppose -5*n + 42 = -3*c, 4*n = -d*c - c + 8. What is the smallest common multiple of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*a + 0 - 3 - 33*a + 1 + 9*a.\nAnswer: 33*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-16)\/(-12))*(-28)\/(-56). Which is the third smallest value? (a) -12 (b) 0.06 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 3*i**2 - 5*i - 4. Let r be h(-4). Let t = r - -5. Solve 0 = 5*k - o - 10, t*k - o - 2*o - 20 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 10*j - 6*j - 8*j + 2 + 27*j. Determine s(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 1, t: 1}. What is prob of sequence tg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -8)*(-7)\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -44*v**2 + 297*v + 7. Let f(s) = -209*s**2 + 1386*s + 33. Determine -7*f(d) + 33*r(d).\nAnswer: 11*d**2 + 99*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-7 + 5 - (-1 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:02 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4875.1 to the nearest 10.\nAnswer: -4880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3)*l*l**(-1\/9))\/(l**1*l**(-2\/7)\/l*l) assuming l is positive.\nAnswer: l**(53\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/7))**44 assuming h is positive.\nAnswer: h**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2086*v - 2090*v = 0. Let o be 2\/(-6) - 7\/(-3). Suppose o*g = 5*a - 12, -3*a + 16 = -2*g + 3*g. Solve v = a*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/15 + (-635)\/(-381)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*(-2841)\/(-947)*1\/((-6)\/(-2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**3 - 92*o**2 - 120*o + 576 = 0 for o.\nAnswer: -3, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.08 (b) 1 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2. Let t(j) = -33778849*j - 2. Give t(n(s)).\nAnswer: 67557698*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 1, -0.61, 1\/391, -2\/3, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36886540 to the nearest integer?\nAnswer: 6073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c. Let j(a) = 3*a + 1. Let f(o) = -2*o - 1. Let s(u) = 5*f(u) + 3*j(u). Let i be (-1)\/(-2)*-2 + 0. Calculate i*s(r) + 3*d(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*g - g - g)*(303 - 811 + 1817) in the form q*g + x and give q.\nAnswer: -10472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0995583 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.02168 take away 0.5?\nAnswer: -2.52168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26\/3 or 41.8?\nAnswer: 41.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*s - 3 = 0, 3*c - s = -5*s - 4. Let l be 1 - 1*c\/(-1). Let p = -342 + 341. Is p smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 271 + -257. Let b = 5 + 0. Suppose -2*i = b*p - 21, -2*i = -4*p + 2*p - s. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 5. Let t(v) = v + 7. Let b be t(-7). Let d be r(b). What is the tens digit of d*(0 - 248\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r**2 - 13*r**2 - 24*r**2 - 2*r.\nAnswer: 7*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5451383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*((j*(j*j*j**3*j*j)\/j)\/j)\/j)*j\/j**(-5)*(j*j**(1\/3))**49 assuming j is positive.\nAnswer: j**(199\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from nkkkkkkkkkkk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24560 and 423280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/27 and 28\/585.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -64066, -64062, -64048, -64018, -63966, -63886, -63772?\n\"Answer: c**3 - c**2 - 64066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*w + 8958 = -627*w - 7027 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -107*d - 2237. Let c be f(-21). Solve y + c = 2*r + 5*y, 2*y - 17 = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-27))\/2*84546\/(-1708).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1446 and 123392.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k\/(k*k\/k**(1\/4)*k*k)*k)\/k)*k)**(11\/3)*k\/(k**(3\/5)*k*k)*k*k*k**(-8))**(-1\/31) assuming k is positive.\nAnswer: k**(-809\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, -5, 2\/11, -1265, -21?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + (0 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-1 - (4 + (4 - 9)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2690, 5373, 8056, 10739, 13422, 16105?\nAnswer: 18788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 125. Let s = 120.94 - w. Let n = -0.06 - s. Which is the third biggest value? (a) n (b) -4\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -140, -130, -120, -110, -100?\n\"Answer: 10*f - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2068862 - 61?\nAnswer: 2068801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -5 (c) 0.5 (d) 5\/1829\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 735 and 43071.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(5\/(-2)))\/((-5)\/(-150))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-371 + 1 + 13 - 157)*(-3*l + l - l)*(2 + 5 - 4) in the form o + j*l and give j.\nAnswer: 4626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - 18*j**3 - 3*j + 0*j + 15 + 3*j.\nAnswer: -18*j**3 + 4*j**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2)\/((-28)\/(-112)) + (-1 - 14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 - 8*j**3 + 7*j**2.\nAnswer: j**2*(j - 7)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25098 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 99.98298 and 13.73.\nAnswer: 113.71298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 5, -246\/1027, -4?\nAnswer: -246\/1027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, h: 5}. What is prob of sequence mmhh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/9, -0.2, -1\/11, -173131, 8?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 678002*h + 2. Let o(v) = -v**2. Give c(o(f)).\nAnswer: -678002*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70619?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + z - 3)*(0*z - 3*z + z) - 4*z**2 - 11*z**2 - 21*z**2 - 2*z + z**2 + 2*z in the form t*z**2 + h*z + i and give t.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -10*f + 154. Let k be t(15). Solve -5*x = 5, -k*i + 4*x - x + 3 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000708764 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53570 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 7*j - 4 = 0. Let d(i) = i. Let l(c) = 4*c - 2. Calculate j*d(k) - l(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 5*f**2 + 10*f - 13. Let q be n(17). Calculate the remainder when (q\/156)\/(1\/(-8)) is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3568139, -7135974, -10703809?\nAnswer: -14271644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 5 - 4)*(2 - 4 + 4)*(j**4 + 0 + 0) - 2*j**4 - j**4 + 14*j**4 to the form n + r*j**3 + x*j**4 + v*j**2 + c*j and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:02 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21126078802 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) 0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 413414550 - -5?\nAnswer: 413414555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 52803*h**3 - 5*h**2 - 33*h + 38. List the prime factors of d(1).\nAnswer: 3, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**2 - 2*p**2 - 2*p**2)*(-310*p + 358*p + 36*p**2 - 108*p).\nAnswer: 72*p**4 - 120*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 1}. Give prob of sequence ca.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -447, -448, -449, -450, -451, -452?\n\"Answer: -c - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/24 and 1\/2160.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 638329 divided by 2?\nAnswer: 638329\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 - 67. Let k(x) = -h*x - 7*x + 14*x. Let i(q) = -2*q. Determine i(k(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 9*c**5\/5 + 9*c**4\/4 - 2*c**3 - 14*c**2\/3 - 8*c\/3 + 18. Let d(x) = 0. What is x?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 10 (b) 1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 1\/900*s**6 + 83*s**2 + 676\/15*s**4 - 26\/75*s**5 + 0 + 0*s - 140608\/45*s**3. Factor a(k).\nAnswer: 2*(k - 52)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5140, -5158, -5176, -5194, -5212, -5230?\nAnswer: -5248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48*h**2 + 23*h**2 + 104*h**2)*(2*h**2 - 2*h**2 + 3*h**2)*(2 - 2 - 3) as s + r*h**2 + k*h**4 + c*h + n*h**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.107 (b) -3 (c) -320\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 + 175. List the prime factors of m.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -500681, -4005565, -13518859, -32044769, -62587501, -108151261, -171740255, -256358689?\n\"Answer: -500701*d**3 + d**2 + 20*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-765)\/17)\/15*3\/360.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 657\/(-1533) + 18\/42. Determine h so that 19\/7*h**2 + 1\/7*h**4 + 11\/7*h**3 + t + 9\/7*h = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*v = 6, -t + 4*v = -4*t + 6. Suppose -20 = -j - 5*o, t*j - 3*o - 6 = -j. Suppose -j*w + 46488 = -3*u - w, -3*w = 9. Round u to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 25, -3*u = 2*u - 5*y + 55. Let a = 8 + u. Factor -1\/4*k**a + 0*k - 1\/4*k**3 + 1\/4*k**4 + 0 + 1\/4*k**5.\nAnswer: k**2*(k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/5166 and 16\/63?\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnyy when four letters picked without replacement from ynyyynnyynnynnynnyny.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12495 + 0.4.\nAnswer: -12494.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*z - 4, -4*z = -0*z - 5*y - 8. Suppose d - 1 = z. Differentiate -3 + 0*u**2 - 3*u**d + 0*u**2 wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16560 + 16560.1. Put -11\/5, -4\/7, -0.08, -0.2, i in descending order.\nAnswer: i, -0.08, -0.2, -4\/7, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5404 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 12\/(-42) + 41187\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10138942 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04934 and 0.2.\nAnswer: -0.009868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 7 - 19. Suppose k = -g - 11. Let f = 2291\/156 - -5\/78. Calculate the common denominator of g and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041017 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 7) in base 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 9:39 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1088) + -1 + sqrt(17) + -5 - (1 + 0 + sqrt(612))) + 2)**2 + 5.\nAnswer: -60*sqrt(17) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 11. Suppose -5*f = -2*c - 24, 2*f - 3*c - l = 1. Let b(r) be the third derivative of r**5\/60 - r**4\/4 + 4*r**3\/3 + 651*r**2. What is b(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*z + 4054 - 4084, -2*z = -15*d - 42 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiuuuuiiiu. What is prob of picking 4 i?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3597, 7204, 10809, 14412, 18013?\n\"Answer: -d**2 + 3610*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = f - 13, -4*v - 124 = 230*f - 278*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 6:30 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 2. Let o(u) be the second derivative of -u**2\/2 + 4*u. What is k(b) - 3*o(b)?\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434*n + 2*n**2 - 4*n**2 - 60 + 3*n**2 - 439*n.\nAnswer: n**2 - 5*n - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 972176\/1721 or 564?\nAnswer: 972176\/1721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1053 - 0?\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j. Let m(b) = b. Let o(h) = 3*m(h) - u(h). Give o(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -7. Let y be 3 + f\/(3\/12). Is y\/(14\/144) - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**4\/6 - x**3\/2 + 5*x**2\/2 - 92*x. Let n(y) = 5*y**2 + 7*y - 10. Calculate -3*n(t) - 7*s(t).\nAnswer: -t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + (-26)\/(-6))\/((-738)\/(-1290)). Let g = 7\/9 - k. Is -1 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6088406*c**3 - 505*c - 3024.\nAnswer: 36530436*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 30 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) + 1 - (-35)\/14. Suppose 0 = y*i + 11 - 71. Let u(o) = 23*o**3 + 2*o**2 - 1. What is the smallest common multiple of u(1) and i?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6545*x - 6545*x + 11*x**2 to the form z*x**2 + j*x + b and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = w - 3, -3*j = w - 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2\/9 (b) -0.5 (c) 0.3 (d) -0.864\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 12492*v**2 + 19481250*v + 78125000.\nAnswer: 2*(v - 3125)**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4*p + 20, -4*r - 5*p + 16 = -2*r. Suppose -5*w = 0, -4*d + w = 6*w - 48. Let a(x) = -x**3 - 4 + 2 + d*x - 14*x + 4*x**2 + 4. Give a(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*w - 36*w - 30*w = -3*t - 116, w - 3*t - 240 = 2*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 777290 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in 1\/3, -5, 1\/6, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - j**3 + 2*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15551 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 3 = -22*t. Suppose -t*i + 10 = -2. Solve 0*g - 4*g = -s - 3, 3*g + 14 = i*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 3 + x - 41 - 5 + 3.\nAnswer: x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1, -16 in ascending order.\nAnswer: -16, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -2 (b) -442 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, 1\/8, 4, 2\/35?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 10*n + 94. Let z be f(16). Which is the fifth smallest value? (a) -1 (b) -2\/7 (c) -172 (d) z (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(k**2 - k**2 + 2*k**3) - k**3 + 2*k**3 - 41*k**3.\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {e: 5, i: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 105.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31.93 + 764.67. What is q rounded to the nearest ten?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*3\/4 - -7. Suppose -1 = 3*u - m. Suppose 0*o + 24 = u*o. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 5:04 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*m + 2432, 17*m = 3*w + 12*m - 1835. What is the remainder when w is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13989 is divided by 4608?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 726967 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 + 57.3. Let r = m + 3.7. Let x = r - -3.4. Round x to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 1. Let r(o) = -6*o + 5. Let s(q) = -r(q) + 5*y(q). Let a(c) = -c. Let n(d) = -3*d. Let z(b) = 4*a(b) - n(b). Determine z(s(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, -217 in increasing order.\nAnswer: -217, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -5 - -12 - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2128.31?\nAnswer: 2128.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -7*l - 36. Solve 0 = -763*s + 764*s + l for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17712.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1542)\/14*((-429)\/130)\/33 - 11\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4 - 764113*b**3 + 145967551246*b**2 - 145965258912*b - 291933574272 = 0.\nAnswer: -1, 2, 382056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46075 is divided by 20459.\nAnswer: 5157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 105, 179, 223, 237, 221?\n\"Answer: -15*g**2 + 119*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -86913746 rounded to the nearest ten thousand?\nAnswer: -86910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -62480\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7078412 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/(((v\/(v\/(v*v\/(v\/(v\/(v*v\/(v**6\/v))))*v))*v)\/v)\/v)*v**(-13)\/v**(3\/5))**22 assuming v is positive.\nAnswer: v**(-1276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2382144 divided by -794048\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**2 + 2*k - 53. Let g(c) = -4*c**2 + 26. Let r(z) = -5*g(z) - 3*v(z). List the prime factors of r(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 31, -4, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - ((-4)\/(-10) - 1). Let u = 0.45 - 0.05. Let k = 2.4 - u. Which is the nearest to 1\/3? (a) 5 (b) f (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14043 and 4530.\nAnswer: 140430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 5*w**2 - w. Let a be (-4)\/(-2 + 7 + -4). Let h be ((-4)\/12)\/(a\/108). Suppose -h*t = -8*t + 5. What is j(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhhsbhbhdhhbhhbhzqbb. Give prob of sequence bh.\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*t + 5 + 23 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Suppose w = 4*s - 3*v - 1116, -4*v + 0*v - 1116 = -4*s. Let b be s\/12 - (-2)\/(-8). Solve -q - 3*y + 13 - 2 = 0, -4*q + b = 5*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 57*r**2 + 28*r**2 + 889*r**2 + 2*r to c*r**2 + d + j*r and give c.\nAnswer: 974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19152 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6794.7 and 399.17342.\nAnswer: 7193.87342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.2 and -22750834475.\nAnswer: -22750834476.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*a + 732 = -79*a. Let o be 8\/10 - a\/(-10). Suppose 20 = 2*q - 3*l - 26, q = 5*l + 16. Calculate the greatest common factor of q and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 0 + 21*j - 10*j - 1. Let u be i(1). Find the first derivative of -2*y**4 + 6*y**2 - 6*y**2 + 4 - u wrt y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -201.929 - -293.852. Let w = -82 - -174. Let t = b - w. What is t rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 0 + 0 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 5 = -2*a. Suppose -a*x + 5*x = 0. Suppose 320 = 5*z - x*z + 5*l, -3*z + 2*l = -197. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 3. Let c = z + 1. Put 1\/10, 2\/5, c in descending order.\nAnswer: c, 2\/5, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -19, -58, -131, -250, -427?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 67 + 5 = -44*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -0.101, -26?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-275)\/11)\/(-250)*60\/90*435\/(-4)?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6391*u**2 - 13860. Let y(k) = -213*k**2 + 462. Let v(t) = 4*o(t) + 121*y(t). What is the derivative of v(g) wrt g?\nAnswer: -418*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*2*6 - sqrt(189)\/(-2*sqrt(9)))\/((sqrt(252) - sqrt(252)*2)\/sqrt(4)).\nAnswer: -25*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0324938 and 1.3?\nAnswer: 0.04224194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1020)\/(-2142))\/((-2)\/(-7))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-119)*(-39984)\/224.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -362 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-2 - (-6 + 2)). Suppose a*w = -2 + 57. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 - -64. Is 7 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 21. Let u(g) be the third derivative of g**4\/8 + 7*g**3\/2 + 194*g**2. Is u(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -4*i + 15, -4*i = -37*o + 2*o + 16*o + 18*o - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**3 + 8197*w**2 + 26590*w wrt w?\nAnswer: 12*w + 16394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/30*3\/8*-6. Suppose 19 = 3*b - f, 2*b + w*b - 17 = -2*f. Suppose 0*v - v = -1. Put v, b, -21 in descending order.\nAnswer: b, v, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(108\/(-30)))\/(((-268)\/2680)\/(36\/(-50))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-11 - (1 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 - 930?\nAnswer: -90b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*r + 5*r + 63 = 0, 2*r + 37 = 3*b. Let v(n) = -n**3 + 15*n**2 - 23*n - 23. Is v(b) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*q - 14, -2*p - p - 4 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2 - 4 - 1 + 4 + (2 - 3 + 3)*(27 - 4 - 8) - 7 + 3 + 2 - 2 - 2 + 3)*(-6*b**2 + 4*b**2 + b**2) as t*b + m + z*b**2 and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 2 - (-520)\/(-140).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 12 = -60*q + 28*q + 30*q, 4*u - 4*q = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77807, -155523, -233181, -310781, -388323, -465807, -543233?\nAnswer: -620601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (-1 + 2)\/((-1)\/135) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -1.3.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 + 10 + -5 - 2. Solve -x = -6*x - a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20960, -44158, -67358, -90560?\n\"Answer: -u**2 - 23195*u + 2236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - n + 0 + (-2*n - n + 2*n)*(0 + 3 + 1).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 0.2 (c) -4 (d) 0.0107213576\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 981.061l in millilitres?\nAnswer: 981061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 495 = -9. Calculate the highest common divisor of 1020 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 2893*t**3 - 22*t**2 + 5*t - 10*t + 2900*t**3 + 4.\nAnswer: 7*t**3 - 22*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 41. Suppose -y + 17 = -h, -19 = -y - h + 3*h. Let m be (2 + y\/o)*58. Round m to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1063*v - 572*v - 49588 = -648*v + 784*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 3*s**2 + 8*s + 7. Determine z(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -223, 1 in descending order.\nAnswer: 18, 1, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 1. Let o(l) = 4*l - 3. Give -3*k(u) - o(u).\nAnswer: -u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*d + 177*d + 13*d - 27738. Solve -31*r + 412 = -d*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33923, -135685, -305301, -542777, -848119, -1221333?\n\"Answer: -y**3 - 33921*y**2 + 8*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30738)\/71722)\/(3\/(-8)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33559525411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**3 + 4*d**3 + 23*d**3 + d.\nAnswer: 38*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -422 - -421.9. Which is smaller: a or -15\/2?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**5\/4 + o**2\/2 + 3*o. Find the first derivative of y(f) wrt f.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*c = 292*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15455 - 0.25455. What is the closest to r in 1\/30, 4\/5, -6, -2\/7?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 3*n**2 - 5*n - 1. Suppose 0*d - 2*d - 8 = 0. Calculate the remainder when x(-5) is divided by d\/(-6) + (-146)\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*v**4 + 244*v**3 - 11 - 246*v**3 + v**2 - 22*v**4 + 3*v as g*v**2 + h*v + n*v**3 + o + r*v**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 20 = 2*n, 5*k + 0*n = -3*n + 34. What is the remainder when 29 - (1 + (0 - 2)) is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110902\/52*(10 + -8)?\nAnswer: 42727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 20 = 5*j. Suppose 0 = -n + 1 + j. Suppose -13 = n*a - 78. Solve 4*f + x + a = 0, 4*f + 3*x + 17 = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4087.4 rounded to the nearest ten?\nAnswer: 4090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31101 + -10010?\nAnswer: -101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53\/7 in 3, -2, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**3 + 9*p**2 - 45*p + 65. Let f(w) = -w**3 + 2*w**2 - 9*w + 13. Let b(n) = -11*f(n) + 2*i(n). Let h be b(-6). Solve -d = -0*d - h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2039.8 and -0.5.\nAnswer: -1019.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1133562?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16316, 32605, 48896, 65189, 81484?\nAnswer: 97781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(-3 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**2 + 3*c**2 + 8*c**2 + 5*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17750741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -421)\/(-1 + 2). Let o = -283 + y. What is the highest common factor of o and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -5 (c) 1779\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9 - 9 + 2*c**3 - c**2 - 3*c**3. Let g(k) = -6*k**3 - 3*k**2. Let b(w) = -g(w) + 2*p(w). What is the third derivative of b(q) wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 135467808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6514223250?\nAnswer: 2, 3, 5, 8685631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)\/p*p)**(-24))**26 assuming p is positive.\nAnswer: p**624","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + p**2 + p + 1. Let d(k) = -7*k**3 + 5*k**2 + k + 14. Let z(y) = -d(y) + 4*r(y). Does 5 divide z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*3*(-18)\/54?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32891 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.03 + 0. Let h = 3.97 + a. Let m = 4.0000056 - h. Round m to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 11. Let s(v) = -2*v - 343. Calculate 3*b(d) - s(d).\nAnswer: -d + 310","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -7 - (-6 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*-317685.\nAnswer: 15884250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 6*t**2 + 7*t - 6. Let j be w(-7). Let u be (0 - -2)\/(j\/(-15)). Solve 0 = 3*z - 11 + u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 + 1 + 7 - 1916*c + 1914*c. Let n(w) = -4*w + w + w - 4*w**2 + 9. Give -6*g(z) + 5*n(z).\nAnswer: -2*z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-77)\/((-385)\/260))\/(8\/6). Let v = -15 + 223. What is the highest common factor of p and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1551130392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -631365 (base 7) in base 9?\nAnswer: -174846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 6*h - 7. Let l be p(3). Differentiate 46 - 5*t**2 + t**l - 26*t**4 + 4*t**2 with respect to t.\nAnswer: -104*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.02 + 6.03. Let c = 16\/3 - 17\/3. Is n >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**2*z**3 + 10*i**2*z**2 - 14*i**2 + 2*i + 2*z wrt z?\nAnswer: -6*i**2*z**2 + 20*i**2*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 715610*s**2 + 3*s + 716507*s**2 - 1430249*s**2 - 3*s.\nAnswer: 1868*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 6. Let n(b) = 3*b + 17. Let d(k) = 6*n(k) - 17*w(k). Let g(o) = o + 2*o - 2*o. Calculate g(d(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 461556*r**3 - 1318*r**2 - 4*r + 5.\nAnswer: 2769336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*k - s, 5*k - 59 = -16*s + 12*s. Let z(n) be the third derivative of -2\/11*n**3 + 0 - 7\/132*n**4 - k*n**2 - 1\/330*n**5 + 0*n. Factor z(b).\nAnswer: -2*(b + 1)*(b + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 - -0.060044. What is f rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6 + 254*o - 255*o - 4*o**2 + 0*o**2. Let l(m) = 15*m**2 + 5*m + 23. Let b(s) = 22*k(s) + 6*l(s). Solve b(p) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5 = 4*s, 0 = 5*s - 3*c + 20237 - 20197 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 56 = 5*z + 2*y, -z = 4*y + 2. Let a be -16 - z - (0 - 1). Let v(s) = -a - s - 2 + 3. What is v(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - j**2 + 2*j + 1. Let v(a) = -8*a**3 + 3*a**2 - 10*a - 5. What is 5*q(c) + v(c)?\nAnswer: -13*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3329270*o**3 - 74*o**2 - 315085*o?\nAnswer: -19975620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-20) + (-2079)\/(-540). Solve 104 = -k*v + 88, -2*o + 5*v + 18 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2. Let w(m) = -148*m**2 + 4*m - 6. Give w(l(r)).\nAnswer: -592*r**4 - 8*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43*z**3 - 3300*z**2 - 288573.\nAnswer: -129*z**2 - 6600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 15 + 2 = -5*s, -14 = -4*p - 2*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219 + -594. Let m be 124\/5*a\/(-10). What is the greatest common factor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504 at least 3271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -689042564, -1378085128, -2067127692, -2756170256, -3445212820?\nAnswer: -4134255384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gffffppfpagg. What is prob of sequence pa?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - -1881?\nAnswer: 1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1403, -1356, -1279, -1172?\n\"Answer: 15*q**2 + 2*q - 1420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12 - 138)\/((-2)\/1). Let n = -9 + 18. Suppose -k = -6*a + n. What is the greatest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(1\/10)*o)\/o*o**(2\/23))**(-17) assuming o is positive.\nAnswer: o**(-7769\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6490824853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2596 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*y**3 + 5*c**2 - 65*c*y**5 + c*y**2 - 2*c*y wrt y.\nAnswer: 6*c**2 - 3900*c*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1910\/9, -0.21, -0.6, 0 in decreasing order.\nAnswer: 1910\/9, 0, -0.21, -1\/4, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 54?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101211222 + 13?\nAnswer: 1101211301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**2 - 26*f - 17. Calculate j(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230 by -3.\nAnswer: -230\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/15)\/(-2)*3\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -1023687\nAnswer: 2\/341229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246 and 574.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 67 - (3 - (13 + -11)) - ((-21 - -16) + 16)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i - 0*u - u, 2*i + 3*u + 8 = 0. What is the closest to i in 2\/5, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -460. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250 + 228 - (4 + -46).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w = 63*w - 3962 + 21288 - 7390 for w.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.47, -49\/20, -2\/7?\nAnswer: -49\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100 - -22?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 104 = -0*p - 2*i, -p - 26 = -5*i. What is the nearest to -1 in p, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/423 - -17323\/4230. Let b = -347\/318 - 4\/53. Calculate the common denominator of b and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 14448168466 and -1.\nAnswer: 14448168465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**3\/3 + 41*x**2\/2 + 90*x - 10051. Calculate g(-39).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/9, 2, -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y = -4*a + 26*y - 4, 2*y - 10 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/10)\/((-22)\/(-165)*9)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {l: 1, m: 1, y: 1, o: 2, g: 2, w: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -0.0919.\nAnswer: -0.2919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1981 times 229?\nAnswer: -453649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -192*j - 2923. Give y(-15).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 10 - 9)*(-2 + 2*x + 2) to p + q*x and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -60009 = -60011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2 - 8408*d + 8407 = 0.\nAnswer: 1, 8407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4 + 2 - 12*k - 2 - 5. Is 23 a factor of y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 4 + 32 = 0. Suppose -2*t + 22 = z, -g*z + 0 + 39 = -3*t. Differentiate z - 13 - 16 + 2*m**3 with respect to m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77\/5 + 76\/5. What is the second smallest value in 0.1, u, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2. Let f(s) = -17*s + 26*s - 3*s. Let w(i) = i - 3 + 3. Let u(a) = f(a) - 8*w(a). Calculate u(k(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*o - 22*o - 2 - 8*o)*(0 + 0 + o**2) as y*o + w + v*o**2 + q*o**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Suppose 5*c + 0*c + 4*u - 7 = 0, -3 = -3*c - 2*u. Let p(i) = 13*i. Determine c*p(z) + 4*x(z).\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 3. Calculate v(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 154 = 5*i, 4*i = 3*c + 169 - 21. Suppose 8*h - i = -9*h. Sort -2, h, -5 in increasing order.\nAnswer: -5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -35*i**3 - 96*i**2 - 6*i + 17. Let a(m) = 34*m**3 + 96*m**2 + 5*m - 14. Give -6*a(v) - 5*g(v).\nAnswer: -29*v**3 - 96*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1713338 is divided by 1772.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8023*j - 7783*j + 16098*j = -6716 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 335.931379 and 31075.\nAnswer: 31410.931379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 614 + -295. Calculate the remainder when (-2 - (-4 - r)) + (-3)\/3 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*d + 12 - 3, -3*v + 4*d = 26. Let t = -0.2 + 0.1. Let z = t - -0.1. Which is the biggest value? (a) v (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/28 + 5\/(-20))*(-10)\/30. Let u(h) be the third derivative of 0*h + t*h**3 - 16*h**2 - 1\/24*h**4 + 0. Let z(a) = -13*a**2. Give u(z(l)).\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 969*y + 3759. What is w(-4)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-12)*3 - 3)*-80. Calculate the highest common factor of 80 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.16, 2, -4\/3, -644?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2.17 (b) 0.06 (c) 12 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -66*o**3 + 3491*o**2 + 371*o = 0.\nAnswer: -7\/66, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37698*p**4 - 206*p**2 + 8*p + 6?\nAnswer: 904752*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 10*g. Calculate the remainder when ((-10)\/(20\/69))\/(2\/(-12)) is divided by z(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 0.34?\nAnswer: 10.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Let c = -6 + 10. Suppose 106 = -n*v - c*u, v + u + 240 = -3*v. Round v to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -3*k. What is the lowest common multiple of 17 + ((-28)\/k - -4) and 46?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2334*w**3 - 1934*w**3 + 5142*w**3.\nAnswer: 874*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 15, n: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 26*k - 21*k - 35 = 0, -5*h - 2*k + 14 = 0. Solve 15 = 4*n - 9*n - 2*w, -5*n + 2*w - 15 = h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {w: 4, l: 3, t: 7}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/50*20\/8. Suppose -c + 472 = b*c - 4*r, 5*c = -3*r + 582. Let v = 17 - -61. Calculate the highest common divisor of c and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 0*s + 21*s**3 - 6\/5*s**5 + 0*s**4 + 0*s**2 + 2\/7*s**7 + 30 + 0*s**6. Find the third derivative of h(r) wrt r.\nAnswer: 240*r**3 - 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.586 + -8.414. What is the fourth biggest value in p, -8, -1\/5, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/3113305 and 54\/15145.\nAnswer: 725400065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 20. Let h be g\/(-27) + 28\/6. Find z such that -6*z**4 + 3*z**5 - 2*z**2 - z**3 - z**h + 7*z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 115 and -1.5.\nAnswer: -172.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1. Let z(y) = 8*y - 2. Let t(l) = 2*n(l) - z(l). Let o(i) = 9*i**2 - 10*i. Let w(a) = 4*a**2 - 4*a. Let b(x) = -2*o(x) + 5*w(x). What is t(b(f))?\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnxxxmtj. Give prob of picking 3 x and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/12 + 211*a\/12 - 223 = 0 for a.\nAnswer: -223, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/(1029\/(-1960))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.5, 5, -1.47 in ascending order.\nAnswer: -2, -1.47, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -23 - -2 - (4 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154340 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 9) to base 16\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68 - 30) + -14 + (-12 - -10) - 6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 26*a**2 + 11*a + 27. Let c be y(-12). Let t = c - 14727\/4. Let k = -27197\/636 - t. Do k and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.1 - 10. Let g = y + 0.1. Let z = -3 + 7. Which is the second biggest value? (a) g (b) z (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21.9, 5, -48, -3, 4 in ascending order.\nAnswer: -48, -3, 4, 5, 21.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from azzzjddadjdzddjdz?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 8*c - c - c = -2 - 1, 0 = -4*g + 2*c - 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 1:12 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -81, 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0*u**2 - 2*u**2 + 2 - 2*u**3 + 5*u**2 - 2*u**2. Let p be r(6). What is p rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1)*-2 - -4. Let q be (-670)\/(-4) - (-1)\/d. What are the prime factors of q\/20 + 4\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.4044 * -982\nAnswer: 7271.1208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybysyseeris. What is prob of picking 1 s and 1 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -104267803, -104267796, -104267789, -104267782, -104267775, -104267768?\n\"Answer: 7*j - 104267810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/(-10))\/(26\/(-455)*7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 48600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 145, 3\/14, 19 in ascending order.\nAnswer: 3\/14, 3, 19, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 60*t + 320. Determine b(65).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -13*n + 1708. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 24*u**2 + 24*u - 39. Calculate z(5).\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 40 = -8*f, f + 7 = 5*u + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 10 = 9*d. Let o(w) = 3*w + 4. Let s(z) = 13*z + 16. Let x(l) = d*s(l) - 9*o(l). Let y(i) = i + 1. What is -x(j) - 4*y(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/3, 15.9, -1\/5, -4\/3?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 164513, -3, -1, -19, 1 in ascending order.\nAnswer: -19, -3, -1, 1, 164513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27764 + 40?\nAnswer: -27724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3868? (a) -5 (b) -2\/3 (c) -0.17 (d) 3 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8629 + 8749 = -4*m - 2*f, 5*m = -2*f - 150 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -49*x**2 + 10*x - 3. Let u(n) = 38*n**2 - 9*n + 1. Give -6*m(r) - 7*u(r).\nAnswer: 28*r**2 + 3*r + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/46 - -2209\/92. What is the common denominator of (-250)\/24 - (-6)\/8*-2 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/6 - (-4)\/(-12). Let h be 4\/(-18)*-3*y. Calculate the highest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204 (base 8) to base 13.\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4093806, -8187548, -12281290, -16375032?\n\"Answer: -4093742*n - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 + (-7)\/((-28)\/(-8)) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(4*v + 0*v - v) + 5*v - 35*v - 18*v.\nAnswer: -39*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 - (-61012)\/42. Suppose 0 = 32*p - 10*p - v. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141 + -140.6. Which is the closest to -2\/7? (a) t (b) 1.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1383 - -10925. What are the prime factors of y?\nAnswer: 2, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 divided by -2?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2 = 22. What is the closest to 0 in d, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 850 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4050*a**3 - 4770*a**2 - 752*a - 32 = 0.\nAnswer: -1, -4\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 3\/5, 66, 0.174, 4, 194?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:19 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -29*v - 102. Let w(d) = -87*d - 311. Let y(c) = -11*m(c) + 4*w(c). What is the units digit of y(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 83*a**5\/20 - 3*a**3\/2 + 3*a**2\/2 - 21*a - 3. What is the second derivative of g(t) wrt t?\nAnswer: 498*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 11:09 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60672166*v**3 + 15915753*v**2.\nAnswer: -364032996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*o + 68 = 0, 3*l - 14 = 2*o + 14. Solve 0 = 4*q + 2*t, -2*q - 5*t + l = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g**2 + g + 2. Let o be c(0). Let w be 2\/6 + o\/(-6). Suppose -213 - 234 = -27*u - 339. Solve -4*q + 9 = 5*t, w*t + u = -q + 5*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1629, 1639, 1689, 1779, 1909?\n\"Answer: 20*l**2 - 50*l + 1659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 a when four letters picked without replacement from {z: 3, a: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 64431.5.\nAnswer: 64433.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/6 - (454 + -448).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-250)*10\/(-18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 895280 and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75818\/413 or 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 12 = l, 0 = -l + c + 2*c + 13. Let g(a) = a + 3. Let o be g(5). Let z(b) = 3*b**3. Let t be z(1). Solve -l = -o*k + t*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cho when three letters picked without replacement from cchchaochathha?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111102 - -12000202102?\nAnswer: 12001020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3210 = -299*f - 1574 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from jjjjjjjeje?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -87, -82, -61, -18, 53?\n\"Answer: p**3 + 2*p**2 - 8*p - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 176501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -178, -592, -1400, -2734, -4726, -7508, -11212?\nAnswer: -15970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 12920467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.07 (b) 2\/7 (c) 0 (d) 56 (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 v when four letters picked without replacement from zzvqvvqqqqzvjqz?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 3. Let h be t(6). Suppose -h*i - 8 = i. Let b = 6 + -4. Sort 5, i, b in decreasing order.\nAnswer: 5, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5246 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 302321211?\nAnswer: 302321221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**4\/12 + 5*p**3\/6 + p**2\/2 - 3*p. Let u be b(-5). Is 2 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -504?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -138.91134 - -0.07134. Let k = g + 143. Round k to 1 dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 19*s - 1. Let j be v(2). Is j less than or equal to 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -289 - -309. Suppose -11*f = -l*f + 342. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10724975071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 816 and 240.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -353807569\/168 - -2106013. Let a be (-7)\/((-2744)\/(-483)) + 1. Let h = a + u. Find the common denominator of -53\/10 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -31. Let w = -10.999986 + f. What is w rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - b - 8. Let f(z) = -3*z**2 + z + 23. Let q(h) = -11*a(h) - 4*f(h). Let s(g) = -2*g**2 + g - 2. Let v be s(2). Calculate q(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372830 is divided by 713.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -709, -3, 2327 in ascending order.\nAnswer: -709, -3, 2327","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 0. Suppose -t = t + h. Sort -1, t, 0.\nAnswer: t, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - g = -20*v + 8719, 0 = -g - 3. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p = -16. Suppose j + 5 = 3, 3*j = 2*l + p. Let r(w) = -2*w**3 - 4*w**2 + 5*w + 9. Does 23 divide r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 58255079188.\nAnswer: 58255079185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojodiooojdjoooio. Give prob of sequence ooid.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2138382 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*y - 40*y + 19*y**3 + 118*y - 37*y + 30*y**3.\nAnswer: 49*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1866621 is divided by 116639?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -24*g**2 - 8*g + 6. Let r(b) = -5*b**3 + b**2 + 35*b - 37. Let z be r(1). Let y(m) = -48*m**2 - 17*m + 13. Give z*y(w) + 13*p(w).\nAnswer: -24*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-470)\/(-9) - (-14)\/(-63).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12860 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from wmhwwmmlhbmhmmmflwmh?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 10.8. Let u = 0.2 - j. Which is the third biggest value? (a) -5 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21471587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -888 (base 15) to base 5.\nAnswer: -30203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -539.7 - -544.7. What is the fifth biggest value in q, -9, 4\/9, -0.5, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 not equal to 1.52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 32.8. Let i = k - -2.9. What is the nearest to 1\/4 in i, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8c - 5?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2477 + 2533. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5795*g**3 - 10*g - 1825.\nAnswer: -34770*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -112541 (b) 1\/40 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {m: 1, p: 1, y: 1, k: 2, u: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 184370 or 184369?\nAnswer: 184370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by (((-14)\/(-28))\/((-3)\/51))\/(1\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.351945071 to four decimal places.\nAnswer: -0.3519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a - 1. Let v be m(-1). Let s(k) = -3*k - k + 2*k + v*k. Let g(h) = 4*h. Determine g(s(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = q - 5*b, 4*q - 8*b + 0*b - 24 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238365532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64992 is divided by 260?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -0.1, 4, 24, 3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104263427179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656616 divided by -17?\nAnswer: -97448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.82225 millilitres in litres?\nAnswer: 0.04282225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/2 + 82*h**3\/3 - 691*h**2\/6 - 235*h\/3 + 500\/3 = 0. What is h?\nAnswer: -4\/3, 1, 5, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8.503905 + -12942\nAnswer: -12933.496095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (-73 + 68)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/(3\/9). Let u = s + 3. Suppose -3*k + 3*y = -4 - 23, -u*k = -y - 20. What is the remainder when 32 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 326*l + 764. What is the tens digit of v(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 57607900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.425886 millimeters?\nAnswer: 0.004425886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**2 + j + 11. Let z(l) = 14*l**2 - 4*l - 32. Let i(p) = 17*g(p) + 6*z(p). Let w be i(-6). Suppose 3*v + w = 13. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 8549073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 19*t + 22 = 24*t, 2*c + 3*t = 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -547.69255 to the nearest 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 8 - 12. Solve -r*y - 4 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 911858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -2 (c) -60889 (d) -0.4 (e) 1\/5 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2963424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*f**4 - 14\/5*f - 4\/5 - 2*f**3 - 18\/5*f**2.\nAnswer: -2*(f + 1)**3*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430367 is divided by 8436?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieeeiqeqqiiei. What is prob of picking 1 e and 2 q?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umtwwmumumtwssss. What is prob of sequence utum?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckckcccecec. Give prob of picking 1 k, 1 c, and 1 e.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 7 - 15*d - 50*d - 28*d - 3 as o + n*d and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1. Let o(d) = -4*d - 9. Let y(q) = -11*q - 25. Let m(f) = 17*o(f) - 6*y(f). Let j be 2\/(-9) + (-76)\/(-18). Calculate j*c(s) + m(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210202101 (base 3) in base 6?\nAnswer: 1103401","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.392956 + 17453.352956. Let t = -17437.95987 + b. Let o = t - 15. What is o rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -1 (c) 2\/11 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1255175 and 0.4?\nAnswer: 502070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61222*g**2 - 16107*g - 61222*g**2 - g**3 + 616*g)*(3*g - 3*g + g**2).\nAnswer: -g**5 - 15491*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*t - 42 = 106*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3*(12\/6)\/(27*-1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/72*(55 + -70) - (-3)\/10?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*l**5\/3 - 32*l**4 - 104*l**3\/3 - 16*l**2\/3 + 12*l + 16\/3.\nAnswer: -4*(l + 1)**4*(7*l - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -158519 - 813481. What is l rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.5 + 143.5. Let l = b - 151.3. Let s = 1.1 + l. Round s to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 8:22 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3)\/l*l)**(-3\/7)*((l*l**0)\/l)**(1\/61))\/(l**(-2)*l**(-2\/3)*l**(-1)*l**(3\/2)\/l*l) assuming l is positive.\nAnswer: l**(97\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33.8 + 34. Let d = -240\/17 + 14. What is the closest to 1 in d, y, -2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 2, a: 1, n: 2, w: 1}. Give prob of sequence wn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*1\/6*-2. Suppose -3*p + 23 = 4*k - 34, -o*p - 2 = 0. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from szsszeysskzsyfssss.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -241 + 243. Suppose 0*o + 3 = -3*o + 3*y, -4*o + w*y = -4. Solve -o*r + 28 = -5*l, -5*l - r - 22 = 2*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 190007, 190161, 190315, 190469?\n\"Answer: 154*w + 189853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 372*c + 11. What is the units digit of w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2*(-2)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 4*t**5\/15 + 8*t**2. What is w(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*b**2 + 5 - 357*b**2 - 5 to the form y*b + s + w*b**2 and give w.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x. Let l(t) be the third derivative of 0*t**3 + 0*t + 0 + 7*t**2 + 7\/24*t**4. Determine l(v(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7881 - 606?\nAnswer: -599.2119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + -44?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 388260 and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6*(-104)\/2)\/((-448)\/((-56)\/1)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-4))\/(4 - (-18)\/(-4)). Let z(t) = -2*t + 7. Let c(u) = u - 4. Let x(n) = -8*c(n) - 5*z(n). Determine x(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 2, -7 in increasing order.\nAnswer: -7, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 10. Let g be s(-10). Let u be (g - (4 - 2))\/(-2). Suppose 0 = -4*v + 4*r + 20, 5*v = 4*r + 25. Solve u - v = k, -2*k - 20 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s - 3, -5*s + 5 = -2*j. Suppose 4*z - 625 - 699 = j. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j - 12. Let b(k) = 5*k**2 + 4*k + 3. Let x be b(-1). Is j\/x + 0 + 61 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + -1*sqrt(5472) - sqrt(38)) + (sqrt(38) - 6*sqrt(76)\/sqrt(2)))\/((sqrt(2) - sqrt(2)*2)*2 + 3*sqrt(2)*-5).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -134*m - 585. Let h be c(-5). Calculate the highest common divisor of h and 70.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**2 - 775*m - 548. Determine j(-110).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/((-24)\/(-8)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23, -2\/103, 2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f**3 + 0*f)*(0*f**2 - 5*f**2 + 3*f**2) - 2*f**5 - 3*f**3 + 3*f**3 - 3*f**5 + 5*f**4 + 69*f**4 - 67*f**4 + 2.\nAnswer: -f**5 + 7*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4578 + 105268\/23. Let c = 883\/598 + q. What is the common denominator of c and 87\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suqddhmu. What is prob of sequence sdh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + 37. Suppose -f + 6 = -4*r. Let c = 32 - r. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1424 + 565 = 66*c - 123 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 15935*u**2 + 31855*u + 15925.\nAnswer: 5*(u + 1)**2*(u + 3185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from axxxaxxaxxxxxxaxxx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*f**2 - 303 + 142 + 159 + (-4 + 3 + 2)*(-2*f**2 + 0*f + 0*f))*((3 + 3 - 4)*(-2*f + 3*f + f) + 2*f - 2 + 2) as d*f**2 + u*f**3 + c + n*f and give u.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -21*d**3 - d. Let p(g) = -22*g**3 - g. Give -5*p(a) + 4*w(a).\nAnswer: 26*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4\/4 - 19*y**3\/4 + 171*y**2\/2 + 391*y + 406 = 0.\nAnswer: -29, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: What is the ten millions digit of 176467133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 2\/(-4)*-8. Suppose -2*r - 3*r - i = -5*n, 2*r = -5*n + 26. Let f be (-1860)\/(-150) - ((-7)\/(-5) + -1). Solve l = -r*l - f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058.52 rounded to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 25*i**2 + 65*i + 35.\nAnswer: -5*(i - 7)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 170.4575 micrometers?\nAnswer: 0.01704575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-60) - (-1070)\/(-200). Which is smaller: q or 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {m: 6, e: 2, x: 3, p: 1, k: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 14*n**2 - 18*n - 59. Let j be p(-3). Calculate the highest common divisor of 121 and j.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*t - 5*r, -3*r + 4*r + 7 = t. What is the remainder when 312 is divided by t + (-5 - -6) - -39?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*b - 13 = 0, -3*b - 17 = -t - b. Let h(l) = -l**2 + 4*l + 26. Let w be h(t). Solve -33 = -w*r - a - 13, -4*a = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-32)\/80 - 767\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -10*h + 8. Let i(d) = -4*d**3 + 3*d**3 - 4*d - 6*d**2 + d**2 - 2. Calculate i(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1008 divide 607079003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2 - 4717*v - 70082. Give f(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -175*c**3 - 3*c - 4. What is the units digit of t(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2419, -3965, -5513, -7063, -8615?\nAnswer: -10169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -24b7?\nAnswer: -24bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7bc (base 13) in base 4?\nAnswer: 110322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 - 95. What is the remainder when 20 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13*a**2 + 7*a + 7. Let h(w) = 2*w**2 + 3 + 3*w - 3*w**2 - 6*w**2 + 13*w**2. Let o be (-87)\/(-12) + (-2)\/8. Determine o*h(c) - 3*l(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 24, 79, 188, 369, 640?\n\"Answer: 3*s**3 - 2*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38.9 + 38.5174. Round v to 2 dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 4:19 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*r = r + 24, -n = -r - 8. Suppose 0 = 3*x + 9, -5*a - 4*x = -5 - n. Let o(m) = m**2 - 5*m + 3. What is o(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (5 + 5 + -6 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 35*w**3 - 2135*w**2 + 56*w - 3343. Determine g(61).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 34*l + 5. What is the units digit of u(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 1224, 3891, 9078, 17625, 30372, 48159, 71826?\nAnswer: 102213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 260.45 to the nearest integer.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2817*y**2 + 7*y + 14. Let x(o) = 1408*o**2 - 4*o - 8. Calculate -4*v(i) - 7*x(i).\nAnswer: 1412*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 15777409?\nAnswer: 6310963.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(11\/4)*f)*f)\/f**(3\/10))\/(f\/(f*f\/(f**(-5)*f))*f**9) assuming f is positive.\nAnswer: f**(-121\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-6))\/(1\/8). Factor 12*o**2 - o - 1 + 2*o + 16*o**l - 2*o**3 - 26*o**3.\nAnswer: (o - 1)*(2*o - 1)**2*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q\/((q*q**(-4\/7))\/q*q)))*q**(-2\/15))\/((q\/(q**(-8\/5)\/q)*q)\/q**(-2)) assuming q is positive.\nAnswer: q**(-542\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*h + 0 + 4 - h to k + m*h and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3658, 15666, 36020, 64720?\n\"Answer: 4173*f**2 - 511*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 9 + 3. Let g be ((-40000)\/j)\/((-4)\/360). What is g rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 546311 + -245664. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/20*24*-5*3\/(-45)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*t + 408780, 2*q + 82*t = 80*t - 204408. Round q to the nearest 1000.\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a - 22. Calculate the remainder when 78 is divided by p(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(1 - 11\/9). Let p = -43 - -47. What is the smallest value in o, 2\/3, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 3095*g - 60610.\nAnswer: 5*(g - 638)*(g + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 13*y**7\/420 - 21*y**5\/10 - y**2 + 17. Let v(k) be the third derivative of z(k). Let p(w) = -2*w. What is p(v(b))?\nAnswer: -312*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*f - 0*f + 30, 3 = -3*f. Let k(c) = c + 39 - 13 - 15 - 9. Give k(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -15 + 9. Let g be 4*1\/(2\/(-4)). Let h be -2*x\/g*2. Let q(j) = j + 4. What is q(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 - 3*p**2. Suppose 10*c = -c - 33. Let j(t) = t**3 - 2*t**2. Let n be -3 + 3 + 1 + 4. Determine c*q(l) + n*j(l).\nAnswer: -l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-11)\/(-55)*20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84273.\nAnswer: 3, 7, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 4. Let r be k(-3). Suppose r*p - 3 = -5. Which is the closest to p? (a) 2 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from cbbmmpbcbckkbmkmmkcm?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = -10*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3294 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-21)*(-294)\/168?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*i**4 + 6*i**4 - 8*i**4 + (2*i**3 - 4*i**3 + 0*i**3)*(-2*i - i + i) to the form x*i**2 + s*i**3 + b + q*i + g*i**4 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - 90. Let g be l*(-2 - -1)\/1. Suppose g = i - 61. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1528\/3 - -510. What is the closest to 2 in 3\/2, o, -0.5, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -21102221?\nAnswer: -21102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -40, -25, 42, 179?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgh when three letters picked without replacement from fhzfghhfhfhf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2627.27ns to seconds.\nAnswer: 0.00000262727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*a - 16*a + 41019. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/45 - (-109)\/9. Suppose -2*x + y = 4*x. Solve 3*u - 37 = 5*p, 9 = -5*p + x*u - 24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**4 - 74352*i**3 - 5293976*i**2 - 96648720*i - 91429100 = 0. Calculate i.\nAnswer: -35, -1, 18659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 391.2148l?\nAnswer: 391214.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*v - 2*v. Let t be 3 - (-5)\/(15\/v). Suppose 0 = -c + 4*d + 6, t = -4*d - 4. Solve -12 = -w - c*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -10. Let u be (0 + -5)\/((-1)\/(9\/h)). Let p be 3\/(u\/(-10)) + 30\/2. Calculate the highest common factor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a74 (base 11) to base 5\nAnswer: 132114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50*f + 2*f**2 + 4*f**2 + 147 - 239 + 2*f**2 - 11*f**2 wrt f?\nAnswer: -6*f + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -22 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12096193917 - -12096193587.00000177. Let r = k + 330. Round r to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5166 is divided by 115?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432150 is divided by 247?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 116, 193, 312, 473?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 - -0.22. Let y = 8 + -7.9. Let o = m - y. What is the closest to -1 in -1\/3, o, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 458076 and 120.\nAnswer: 4580760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 11*w**2 - 2*w**2 + 3*w**2 - 2*w + 0*w**2. Let n(q) = 2*q. Give n(i(t)).\nAnswer: 24*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*x + 5 + 2 = 0, -4*f = -4*x - 8. Which is bigger: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*v**4 + 24566*b*v**3*y - 5*b*v - 35*b*y + v*y - 18*v wrt v.\nAnswer: 24*b*v**2 + 147396*b*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6637, 0.5, -4 in decreasing order.\nAnswer: 0.5, -2.6637, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a9 (base 11) in base 13?\nAnswer: -71c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (4 - (-3 + 15)). Let p = 20 - 11. What is the highest common divisor of p and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2. Let y(o) = -o - 3. Let l(r) = -4*r - 10. Let b(g) = -3*l(g) + 10*y(g). Calculate b(i(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -898470*d*m*o**2 - 1693*d*o**2 - 109*d + m wrt m?\nAnswer: -898470*d*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 3*g**2 + 0*g**2)*(45653 + 143*g - 45653 + (6 - 3 - 1)*(-2*g - 5*g + 5*g) + g - g - 2*g).\nAnswer: 137*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*v = -10, -4*v - v - 25 = -5*g. Calculate the smallest common multiple of 16 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204933 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n + 1. Let q be r(-1). Let z be q + 0 - (-1280)\/10. What is the greatest common factor of z and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/8 (c) -429 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 1007, 2950, 6629, 12620, 21499, 33842?\nAnswer: 50225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2154\/8)\/(90\/240).\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 25 = 5*s, -3*o + 4*s + 0 = -6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 14. Let l(h) = -7*h**2 + 4*h**3 + 0*h**3 - h + n + 0*h**2 - 3*h**3. Calculate l(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 8*p**2 + 7*p + 4. Let l be g(-7). Let x be l\/(-10) + (-112)\/(-180). Let j = -102 - -103. Which is smaller: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 0 + -2 - -97. Suppose -3*y + c = -125. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.246 and 637?\nAnswer: -156.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(152) + (sqrt(152) - -2*sqrt(152))) - (sqrt(152) + sqrt(152) + 2*sqrt(152))*4)\/(6*(sqrt(1152) - sqrt(1152)*-5)).\nAnswer: -sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10066 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 6*d + 9. Let i(s) = 3*s**3 - 9*s - 13. Suppose -17*t = -19*t - 100. Let a = t - -55. Suppose -a*u + 17 = -18. Calculate u*r(j) + 5*i(j).\nAnswer: j**3 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.066 + -0.045. What is p rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + 91 + (11 - (77 - 11))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125856 is divided by 597?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -25. Calculate the remainder when 20 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 4*o + 8. Let f be a(6). Let w be (f\/(-8))\/(1\/6). Solve 0 = -5*z + w*u + 35, 6*z - 3*z + u = 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453179430 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = f + 531. Let i(p) = p**2 - 14*p + 37. Let y be i(11). Suppose -y*j + f = 57. What is the remainder when j is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/1)\/(1*-1). Let i = 102 - 509\/5. What is the closest to m in 1, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22201021 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*p**3 + 6*p**2 - p**3 + 52*p**4 - 2*p**3 - 54*p**4 in the form q + o*p**3 + u*p**2 + j*p + y*p**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 0.29\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*o + 20 = 0, -2*o = 3*n - 12780 + 12770 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -130 and -0.231024?\nAnswer: 129.768976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p + 24140 - 24140 + 15*p**2 + 42*p**6 wrt p?\nAnswer: 5040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -13 + (-14 + 24904 - 11).\nAnswer: 2, 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 13 + 2132431*h + 23 - 2132458*h.\nAnswer: -27*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208496 is divided by 34527?\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z - 25. Let t(v) = -6*v + 17. Let d(b) = -7*t(b) - 5*w(b). Let m be d(4). Is ((-154)\/m)\/(1\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 166*p - 340.\nAnswer: 2*(p - 2)*(p + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48 times -90?\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -473 - -475. Put f, -1, 1\/16 in decreasing order.\nAnswer: f, 1\/16, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h + 3. Let n be -2 + h - (4 + -42). Let z = -27 + n. Solve -4*f - a = -5*a + 16, z = 4*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184855048 a multiple of 1288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lelemlexlllikex. What is prob of sequence xxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-6)*404\/(-6). Suppose -4*b + 178 = -2*g, -b + 3*b - 5*g = q. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**2 - 13042108*h - 78252504 = 0 for h.\nAnswer: -3260521, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*n**2 - 3453006*n - 11378429 wrt n?\nAnswer: -74*n - 3453006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 115*d**2 - 283*d + 22. What is the units digit of i(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 952 divide 804677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 4, 1.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/(-195))\/((-28)\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k*k*k*(k\/(k\/(k**(-1\/4)*k)))\/k)\/k*k))\/k)\/(k*k\/k**(-6\/11))*(k**(-4)*k)**(-14))**(8\/5))**(-6\/31) assuming k is positive.\nAnswer: k**(-3876\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -845622 divided by 845622.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42, -224, -708, -1644, -3182, -5472?\n\"Answer: -25*j**3 - j**2 - 4*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -14. Suppose -11 = -o - 3*y - 2, o - 5*y = -15. Suppose -w + 2*w = o. Which is greater: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 1300 + 1298 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 10. Suppose 10 = -2*k, 5*k + 1 + 10 = -r*i. Let f(z) = -z**3 + 8*z**2 - 8*z + 10. Let b be f(i). Is b != 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 73512*x**2 - 4786602*x + 4713088.\nAnswer: 2*(x - 64)*(x - 1)*(x + 36821)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 4.5. Let s = f - -4. Let i(t) = 2747*t + 46703. Let z be i(-17). Which is the fourth biggest value? (a) z (b) 1 (c) s (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, j: 2, r: 4, g: 1, d: 4}. Give prob of sequence jrd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -43*v**5\/10 + 71*v**4\/12 - 139*v. Find the third derivative of m(x) wrt x.\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3 - 936*t**2 - 97344*t - 3374592 = 0.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 20861\nAnswer: 104305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*w + 1 = -4, 2*w + 15 = 5*r. Let n(z) = z + 4 + 2*z - 9*z + r*z. Does 2 divide n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 8*c + 50. Let t be -2 + (c - (2 + -7)) + -3. Let b(s) = s. Let p(r) = -r**2 + 3*r - 2. What is t*b(d) + p(d)?\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -15925454.\nAnswer: -15925457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 + 0*c**2 + c**2 + (c - c + c**2)*(0 + 1 - 3) + c**2 - 3*c**2 + 0*c**2 + 664*c - 664*c + 112*c**2.\nAnswer: 106*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7130, -29016, -65500, -116582, -182262?\nAnswer: -262540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86.7 + -86.8. What is the nearest to j in -9, 0.3, 19, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5165087.\nAnswer: 23, 224569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 35*v = 24. Let i(y) be the second derivative of -y**2 + 7\/6*y**3 + 0 - 7\/12*y**v + 4*y + 1\/10*y**5. Solve i(u) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 11523579?\nAnswer: 2304715.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbrk when four letters picked without replacement from {z: 1, w: 2, q: 2, b: 2, k: 5, r: 1}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1193?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*t - t + 6*t)*(0*t**2 + 0*t**2 - t**2).\nAnswer: -8*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v - 21 - 23 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-60))\/((-12)\/(-16)). Which is the second smallest value? (a) -5 (b) g (c) -0.06 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + (((sqrt(468) - -4*sqrt(468)) + sqrt(468))*-3 + sqrt(468))**2.\nAnswer: 6*sqrt(13) + 135252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 9, 9, 5, -3?\n\"Answer: -2*f**2 + 10*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 141 = 77 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.5 + 21.7. Let u = 0.04 + 1.96. Let k = 0 + u. Which is the second smallest value? (a) -1 (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -110*s**2 - 7703*s - 225. Determine z(-70).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w**2 + 5*w + 4. Let j be x(-1). Let g(q) = -3*q - 3. What is the remainder when g(-2) is divided by j*2\/6 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*c**2 - 2*c + c**2 + 15*c**2)*(7*c - 7*c**2 - 7*c) to the form l + d*c**4 + j*c**2 + o*c + k*c**3 and give d.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-14)*3*-7. What is the remainder when (94\/q)\/((-1)\/3) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 501*i**2 - 4064*i + 9. Suppose -2*y + 865 = -y - 2*f, 1754 = 2*y + 2*f. What is the remainder when y is divided by o(8)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 52.5.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2535*j - 15213. Give h(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 39 - 6*i + 6*i + 0*i. Let p(m) = -40. Let t(q) = -3*p(q) - 4*w(q). What is the remainder when 43 is divided by t(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*p + 660, 6*i - 441 = 4*i - 3*p. Is 23 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0426*1.28\nAnswer: 0.054528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468 and 2340?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88\/3 + 29. Let z = 13\/57 + l. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(70)*-2)\/sqrt(10).\nAnswer: -2*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63583055 less than 2586?\nAnswer: -63580469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/840 and 145\/336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 45 - 40 + 148 - 4*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48 + 1459?\nAnswer: 14a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5098*z**2 + 45881*z - 35. Determine h(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28622 is divided by 2805.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4 = -6. Let f be ((-40)\/(-8))\/((-1)\/2*-2). Let s(d) = -2*d + 499 - 500 + f*d. Let i(w) = w. Calculate h*s(p) + 4*i(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 23*y - 20. Determine a(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 49 - 18443*n**3 + 18441*n**3 - 15 - 64 to g*n**2 + v + a*n**3 + q*n and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7045 + 7047. Solve -o + 4*f + 14 = 0, 13*o - 16 = 8*o + v*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 61 = 67 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 (base 14) in base 16?\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 5, o: 3, j: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70*w**3 + 2*w - 939 wrt w?\nAnswer: 210*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -335, -1212, -2673, -4718?\nAnswer: -7347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f + 28*f + 1018 = -2*f + 43 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/6 - (3 + 44\/(-12)). Let t(c) = -5*c + 23. Calculate the smallest common multiple of t(n) and 26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.031 (b) -1 (c) 43\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*m - 5*j - 7, 4*j = -m + 19. Sort 90, m, 4 in increasing order.\nAnswer: m, 4, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2234, -0.12, 25, -2?\nAnswer: -0.2234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418*y = -413*y - 10. Suppose 2*q = -k, -14 = -0*k + 3*k - q. Is k greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 23. Calculate the highest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -105*o + 1017. Let h be q(5). What is the greatest common divisor of h and 1804?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-18 - -7 - -22) - (0 - -6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/9*42\/(-441). Which is the third smallest value? (a) 6 (b) -19\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 114*n + 2800. Give c(135).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 1 - 1 - 11*z - 18 + 6 to the form w + u*z and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 34. Let x = 42 - m. Solve 2*u + 8 = -2*w, 2*u + 2*w + x = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 420 divide 1163882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 76 = -3*w. Suppose -y + 2 = -5*l + w, 0 = 3*y + 9. Suppose 6*t - 136 = l*t + 2*i, 2*t = i + 91. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183511 (base 14) in base 11?\nAnswer: 5339a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 888428, 888427, 888426, 888425, 888424, 888423?\n\"Answer: -u + 888429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - 6) + (6 - 7 - -23 - 8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17\/(-7) + 3\/7. Let c(m) = m**2. Let r be c(w). Solve r*d + 3 = 7*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/528)\/(2\/(-22)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 2*v = -11*u - 4, -5*u + 10 = 5*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.031 (b) 2\/33 (c) -0.12 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -543 + 550. Let x(y) = 6*y - 28. Let n be x(f). Solve -4*v - s + 1 + n = 0, 0 = -3*s - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -465928 - -0.05\nAnswer: -465927.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 - -93.3. Which is the smallest value? (a) -35\/26 (b) t (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*1*sqrt(1872) + (sqrt(1872) + (sqrt(1872)*1 + -3 - sqrt(1872)) - sqrt(1872)))**2 - ((sqrt(52) - sqrt(832)*-2) + sqrt(52))\/(sqrt(324)*1).\nAnswer: -442*sqrt(13)\/9 + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.757 - 0.76786. Round r to four dps.\nAnswer: -0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1033903\/4 - -258477. Let f = -1 - -2. Which is the closest to -2\/3? (a) 3 (b) o (c) f (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2667 - 2677. Which is the nearest to y? (a) -5 (b) -2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -13*h**3 - 14*h**3 - 12*h**2 + 28*h**3 - 11 + h**2 + 3*h. Give j(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 1760 = -12*i. Let v = 88 + i. Solve 3 = 5*m - 2*b, -2*m - b = -v + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k**2 + k - 12*k**2 - 3*k + k - 5*k**2. Calculate o(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.57 rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.84 less than 24.2?\nAnswer: 20.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8525935?\nAnswer: 5, 11, 155017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n + 21*n - 5 + 5.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2425, -4494, -6563, -8632?\n\"Answer: -2069*d - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -574?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 = 2*d, 3*d = 4*n - 2*d - 25. Suppose 9*s = s - 32. Sort -6, n, s.\nAnswer: -6, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.34 + -0.3836. Round l to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -494982, -494987, -494992?\nAnswer: -494997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g**2 - 2*g + 1. Let j(u) = 50*u**3 - 168*u**2 + 110*u - 20. Let r(p) = 20*c(p) + j(p). Find s, given that r(s) = 0.\nAnswer: 0, 5\/7, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*-3*sqrt(600))\/((sqrt(192)\/(sqrt(48)\/sqrt(4)))\/(5*sqrt(4)\/sqrt(2))).\nAnswer: 1800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*p + 61245, 5*h - 14663 = -3*p + 87393. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Let n(m) = 8*m - 4. Let l(t) = 11. Let g(x) = 5. Let s(i) = 13*g(i) - 6*l(i). Let b(p) = n(p) - 4*s(p). What is y(b(c))?\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 1)*(1 + -1). Suppose -n = 3*s - s, 4*n + s + 21 = k. Let t(d) = d**2 - d - 1. Let b(f) = 4*f**2 + 5*f + 3. Let v(c) = b(c) - 3*t(c). What is v(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -4 - (8 + -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.141095 years to decades.\nAnswer: 0.4141095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 - 292?\nAnswer: -2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1715101 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-155) + (-20)\/50\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 - 30*r - 33 - 30)*(-3*r + 4*r - 2*r).\nAnswer: 30*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 524\/32 - (-6 + 204\/32). Solve 25 = 3*i + c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2816250.\nAnswer: 2, 3, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12619 is divided by 893.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511*v**2 + 216 - 207 - 12*v - 665*v**2.\nAnswer: -1176*v**2 - 12*v + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/19 - 7666*f**2\/19 + 92210*f\/19 - 269150\/19 = 0. What is f?\nAnswer: -3845, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 12, l: 1}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -293584, -293550, -293520, -293494, -293472, -293454, -293440?\n\"Answer: -2*q**2 + 40*q - 293622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545279541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**5 - 72768*r**4 - 330948852*r**3 + 218296*r**2 + 992701056*r - 661897728 = 0.\nAnswer: -9096, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*h + 26 = 2*t, 30 = 4*t + h. Let m = t - 8. Suppose 5*i = -m*i + 40. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 20*o + 56. Let u be p(27). Calculate the highest common factor of u and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 19831.\nAnswer: -39662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 807 - 535. Let o(v) = -v**3 - u + 274 - 2*v + 4*v - 2*v**2 + 0*v. Calculate o(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 25 - 9 + 77*v**2 + 39*v**2 as n*v**2 + i + c*v and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4518626 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1631332, -3262669, -4894006?\n\"Answer: -1631337*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 602521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvceevvgkgvkv. What is prob of picking 1 v and 1 k?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnnnmntmmtnnn. Give prob of picking 2 m.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1033 divided by 1033.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/((-1)\/(-10)). Suppose 2*z = -3*k + 35, -5*z + 48 = v*k - 7. Suppose 10 + 2 = 3*u. Solve -u*y - 7 = k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 872909.2 rounded to the nearest 1000?\nAnswer: 873000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -671 + 455. Let f be m\/(-16)*(-4)\/(-3). What is the highest common divisor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2 - 20*h + 5. Suppose -24*x = -7*x + 85. Let y be k(x). Solve -2*o + y*o = 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/(-66) + 2\/11. Let o = -2 + 1.5. Let u = 2.05 + -0.05. Which is the nearest to x? (a) 1 (b) o (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8ba - -4?\nAnswer: -8b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 23 + -7 + -2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*-3*2\/14\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -23*s + 21*s. Which is the closest to -4? (a) 1\/5 (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7 + 15 = 5*t, 2*t = 2*f + 8. Solve 5*r = -t*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**3 - 1\/4*w**4 + 6*w + 7\/2*w**2 + 69. Determine t(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -7*j**7\/6 - 5*j**3\/6 + j**2\/2 - 27*j - 1. Find the second derivative of h(s) wrt s.\nAnswer: -980*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8580.8 grams in tonnes?\nAnswer: 0.0085808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (540*j - 992*j + 1 + 516*j)*(j + 0 + 2 + 0).\nAnswer: 64*j**2 + 129*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**3\/15 - 9*s**2\/5 - 81*s\/5 - 28. Factor m(r).\nAnswer: -(r + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48a (base 11) to base 2.\nAnswer: 1001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**25*r*r**(-1\/23)*r*r)\/(r**7)**(-8) assuming r is positive.\nAnswer: r**(1931\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20184937*k**4 + 10959096*k**2 wrt k.\nAnswer: -484438488*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**3 + 12*v**2 - 18*v + 83. Determine t(8).\nAnswer: -1341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -337*c. Let s(i) = 2*i. What is q(s(l))?\nAnswer: -674*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -85, -72, -59, -46?\n\"Answer: 13*f - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -7\/15*l**4 - 28\/5*l**2 + 4*l - 34\/5*l**3 + 0. Suppose m(g) = 0. Calculate g.\nAnswer: -7, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187560198 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22\/(-77) - (-338)\/7 and 22?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 758 + -0.5.\nAnswer: 757.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52580680*j**2 + 68*j + 380463 wrt j?\nAnswer: -105161360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + t - 1)*(1 + 4 - 1) + t + 2*t - 5*t)*(244*t - 156 + 156).\nAnswer: 488*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 645810131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -6916\/23 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 0*i + 8 = -u, -2*u + 4 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80092037 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - -3 - (-2 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 206\/5? (a) 0.1 (b) 3 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Let t(b) = 4*b + b + b - 3. What is the units digit of t(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4779 and 639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzy when three letters picked without replacement from eaezeehyzjyhyaje?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 334053 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -279 - 1?\nAnswer: -27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 628195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 66126.032 rounded to the nearest one thousand?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-603)\/(-360) - 0) + (-1)\/5 and -85\/88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*q**2 + 3*q**3 + 3\/2*q**4 + 0*q = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 1 - 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 5, 0 = -2*k + 4*w - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 3*v + 3*v)*(-2 + 3 - 3 + 3*v).\nAnswer: 6*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344 - 45711409390?\nAnswer: -45711410734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 12, 4*k + 2*a - 1039 = 2663. Let i = k + -346. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 3) to base 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9816\/5726*(-14)\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10255 and 30765.\nAnswer: 30765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 274689*x**2 + 35*x - 6. Let d be g(7). What is d rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2636286 is divided by 1318125.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 6:45 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/126*9*1\/(-1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 0.1. Let p be -4*2\/44*1. Let s = -0.13 - -0.43. What is the second biggest value in a, p, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3087)*1*3)\/(2*(1*sqrt(9)*-1 - (sqrt(9) - sqrt(9)*-1*-1))).\nAnswer: -21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 587260, 1174365, 1761470, 2348575, 2935680, 3522785?\n\"Answer: 587105*r + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 3*a + 4. Suppose -5*p - 6 = 9. Let o be d(p). Solve 0 = -3*k - o*x - 5, -2*x = -4*k - 1 + 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 656140487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323210514 (base 6) to base 13.\nAnswer: 1266a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -83752485.2 rounded to the nearest ten thousand?\nAnswer: -83750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33240 (base 6) to base 2.\nAnswer: -1001000011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5)\/g)**(16\/7)*g*g**(-1)*(g*g**(-2\/7))\/g)\/(g**2\/g*g**(3\/7)*g*g*(g**0)**(-4)) assuming g is positive.\nAnswer: g**(-178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -89, 3, -1\/2, -1506, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6723527, 6723526, 6723535, 6723560, 6723607, 6723682, 6723791?\nAnswer: 6723940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + u + 1, 5*p - u + 5*u - 2 = 0. Put p, -3, 4 in descending order.\nAnswer: 4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43)\/(-6))\/(-43)*(-825)\/4400?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8*(-7)\/(98\/252)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68b8 (base 13) to base 5.\nAnswer: -432220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 - 2.7. Which is the nearest to 2\/7? (a) n (b) 1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 149856636 or 149856638?\nAnswer: 149856638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2077*-0.7.\nAnswer: 1453.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -3 (c) 0.3 (d) 3 (e) -123 (f) 0.198\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jawjmmjbrraaaj. What is prob of sequence mjr?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 12:41 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/3 and -2*156\/40 + 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1040*d + 7424 = 503*d + 769*d for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268404.\nAnswer: 2, 3, 22367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 11:08 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 - 1 + 10 - 2 - 3*h**2 - 7*h. Let n be g(6). Let y be (55\/(-330))\/(2\/(-4)*1). Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-2) - ((0 - -1) + 4). Solve m = -3*h - 0*h - 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -279 + 276. Sort 0, z, -0.1, -1 in ascending order.\nAnswer: z, -1, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2302571*n*s**6 - 46*n - 5*s**6 + 10*s**2 - 1599*s - 2 wrt s.\nAnswer: 276308520*n*s**3 - 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*b - 0 + 4, 2*s = 2*b. Let x = 33 + s. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.68 + -0.081348.\nAnswer: 0.598652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5701*u - 5742*u = 0. Sort -13, u, -18 in increasing order.\nAnswer: -18, -13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j - 14. What is i(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 - 26. Let w be l\/25 - (-25)\/5. What is the closest to w in -0.2, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.9, 6195.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8 - 24\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 9. Let a(r) = -r + 31. Let z be a(0). Let i = o + z. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 30 = -10. Let v be j\/(-3)*(7 + -10). Solve v*y + 25 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/104)\/((-172)\/1118)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 208412533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*g - 74*g + 449*g.\nAnswer: 571*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 17*r - 11. Let k be j(16). Suppose 0 = -3*o - k*f - 103, 4*o = o - 4*f - 104. What is the least common multiple of 24 and (-7)\/2*o\/7?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 53?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c*i**3 + 21*c*i**2 + 30*c + 2*i**6 + 32*i**5 + i**3 + 2*i**2 - 2*i wrt i.\nAnswer: 6*c + 240*i**3 + 1920*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - t + 4. Determine o(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 146748577 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/5266800*-77*8?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24+42734\nAnswer: 42758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + t = 2, 3*t + 11 = 3*s + 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3300 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -616 and 4?\nAnswer: -2464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8188*l - 2*l**3 - 8201*l + l**3 + 16375*l.\nAnswer: -l**3 - 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -517448721 + -1?\nAnswer: -517448722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10040014, 10040017, 10040020, 10040023, 10040026, 10040029?\n\"Answer: 3*v + 10040011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -9 (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1639 + -551. Suppose -3*k + g = k. Suppose 6*a = 10*a - k. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r + 1. Let w(b) = b - 4. Let z be w(5). Let y(g) = -g**3 - g**2 - 1. Determine z*y(d) + u(d).\nAnswer: -d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 64. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.08, -2\/3, -4, 1649, -2 in increasing order.\nAnswer: -4, -2, -2\/3, -2\/5, 0.08, 1649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 17047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -114 + (91881656\/(-7134))\/(-113)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56148\/5377 at most as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2672198 + 368889 = 7*g. Let q = g + -899446. Let v be 3\/((-15)\/q) - 1. Round v to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/5 and 163\/132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1534943744.\nAnswer: 2, 263, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (70 + -38)) + 26 - (2 - 43).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.2855 - 3.\nAnswer: 21.2855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:51 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9435164.52 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2.9. Suppose 10 - 3 = 3*v - 2*s, 5*v + 3*s = -1. Let g = v + -6. Which is the closest to r? (a) g (b) 3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47.9 - -48. What is the second smallest value in 8, 1\/6, -1\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.625 - -0.375. What is the third biggest value in 2, f, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -17, 2, 7, 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**5\/15 + d**4\/24 - d**3\/2 + 9*d**2. Let z be b(2). Find the second derivative of -5 - z*y - 10*y**3 + 5 + 27*y wrt y.\nAnswer: -60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -656, -29, 0 in decreasing order.\nAnswer: 0, -29, -656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -39?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2, -5\/3.\nAnswer: -5\/3, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 2*o**2 + o + 1. Give t(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -4. Let h = 22651\/10962 - -4\/783. Calculate the common denominator of (-174)\/8*s\/(-24) and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 9\/5 (b) -3\/7 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3 + (1 - 1 - 2)*(0 + 2 - 4) - 4 + 5 - 2 + 1 + 2 - 4 + 0 - 2 + 0)*(41 - 41 - 156*u**2) to the form v*u + j*u**2 + b and give j.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000068127 to seven dps.\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppp. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 896*l. Let q(h) = 6*h + 6. Determine j(q(u)).\nAnswer: 5376*u + 5376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 282431263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 529315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 12:46 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 240822 at most 240822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*l = -4*n + 455, -3*n + 672 = 3*l. Suppose -4*y = n - 201. Which is the second biggest value? (a) 1 (b) 3 (c) -0.2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6*z - 131 = 0. Calculate the remainder when z is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(512) + -3)**2 + -2 - (-5 + (-2*sqrt(14)*3)\/((sqrt(196)\/sqrt(4) + sqrt(49) + sqrt(49) - sqrt(49))\/sqrt(7))).\nAnswer: -189*sqrt(2) + 2060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161 - -188. Calculate the remainder when 239 is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 28 - 70 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 1:25 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*q**3 - 64 + 64 + (-q - q**2 + q)*(q + q - 4*q).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7144591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -3\/2*k**2 + 1\/3*k**4 + 0 - 1\/6*k**3 - 2*k + 1\/20*k**5. What is the units digit of s(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 1. Let o be t(4). Sort 1, -1, o.\nAnswer: -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 170 + -167. Let r be (-4)\/(-2)*1 - (n + -6). Solve r*f = -1 - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*z + 3210, -2*z - 5*j = -0*j - 1284. Suppose z = y + 197. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4709*j**2 + 8*j**3 - 7*j**3 - 4709*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 952 divided by -25.\nAnswer: -952\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) -156.3 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from qjqrqqrjq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (-24 - -58 - -13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/2*(-12)\/10. List the prime factors of 18*(-1)\/(3\/o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-13 + 13)*(-1)\/6)\/(1*-2). Solve -2*a + 12 = y, x = 3*y - 4*a - 56 + 60 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 - -2. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 94*d - 8. Let r(g) = -g - 1. Give -5*r(j) + z(j).\nAnswer: -2*j**2 - 89*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10*(((-12)\/(-10))\/(-3))\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.909623 grams in milligrams?\nAnswer: 6909.623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 3:09 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 5*m + 2. Let a be -6 - ((-6)\/1)\/3. Let l be x(a). Let g(k) = 7*k + 6. Is g(l) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 12909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y. Suppose -3*o + 32 = 4*c, 3*c - 21 = 2*o - 14. Let m(d) = 7*d - 1. Give c*m(x) - 6*a(x).\nAnswer: -x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyodznozzncooznznzo. What is prob of picking 1 y, 1 d, and 1 z?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 k when four letters picked without replacement from {y: 7, k: 5}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 + -6d0?\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k**2 - 13*k**2 + 3*k**2. Let i(f) = -29*f - 4 + 4. Give a(i(t)).\nAnswer: -1682*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -858 (b) 0 (c) -3\/4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 3*m**8\/560 - m**6\/120 + 3*m**3\/2 + 8*m. Let a(p) be the second derivative of h(p). Find the third derivative of a(g) wrt g.\nAnswer: 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwk when three letters picked without replacement from {m: 1, k: 5, w: 1, z: 3}.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1347316 to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -16. Suppose -2*h + 4*h = -c. Put -5, h, 0.1 in decreasing order.\nAnswer: 0.1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/1093 and 19\/20.\nAnswer: 21860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 6:19 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 8*v**2 - v - 6. Let l be n(-8). Let u(f) = f + 1 - f**3 - 5*f**2 + 3*f**l + 1. Let c = -43623 - -43621. Determine u(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) 3 (c) -1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2886135903.\nAnswer: 3, 7, 101, 409, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*i**2 - 30*i**2 - 4 - 12 - 39*i**2 to a*i**2 + p*i + z and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*x + 82, 5*g - 103 = 2*g - x. What is the greatest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.34 + -0.06. Let j(z) = 2*z**3 - 3*z**2 - 3*z - 17. Let d be j(4). Suppose -31*v = -20 + d. Which is the nearest to 1? (a) v (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 121. Let l = -44 - s. Is l a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 13*q**2 - 15*q + 16. What is the common denominator of -47\/11 and k(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106.49929 + 0.04929. Let j = u + 106. Let i = 0.79 + j. What is i rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -b15d4?\nAnswer: -b15d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f. Let t(a) = 12*a**2 - 281516. Give w(t(j)).\nAnswer: 36*j**2 - 844548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 4*y + 17, 3*h - 47 = 18*h - 4*y - 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003159 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 16 + 0*k - 12. Suppose 0 = -4*h - 8 - 4. What is the units digit of r(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*f - 36 + 174 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5, 5*q - 134 = 5*u - 19. Suppose -q = d - 3*o - 2*o, -2*d + 4*o - 18 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -1.04034\nAnswer: -3.12102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3747808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13389361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95.39 + 139. Let p = 0.57 + -0.56. Let u = p - a. What is u rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(-3 + -2*sqrt(19))**2.\nAnswer: -255 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ididiiidiiidiiiiii. Give prob of sequence dii.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 4*n + 2*x - 151, 3*n + 12*x = 99 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2 - 2)*(23*v - 25*v - 7*v**3 + 132*v**3).\nAnswer: 250*v**4 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (104*c + 4917 - 4917)*(0*c**2 + 2*c + c**2 - 7*c) as f*c**3 + t*c + s + a*c**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*w + 644, -457 - 66 = -3*c + 5*w. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**2 + 6*w - 4 = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222173409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71175 is divided by 238?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2891*l - 653372. Determine h(226).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-6 - (-5 + (3 - -2)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -11742205?\nAnswer: 6\/11742205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51672725.\nAnswer: 5, 13, 158993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 1. Suppose -4*m - 4*q = 108, 0 = -0*q - 3*q - 15. Let p = m - z. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15216835 to three decimal places.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 4:15 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 75*i + 141. Let p(j) = 30*j + 56. Let o(m) = 5*d(m) - 12*p(m). Let w(b) = b + 2. Calculate -2*o(x) + 33*w(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -10*d. Let x(f) = -7*f - 5. Let p(y) = -9*y - 6. Let w(a) = -5*p(a) + 6*x(a). Let r(b) = 5*h(b) + 16*w(b). Let l(s) = 36*s + 1. What is r(l(c))?\nAnswer: -72*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000081935108 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -17 - -15 - ((-2)\/6 - 0). Let l = -5 - -3. Which is the smallest value? (a) l (b) y (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*n - 100. Let r = n + -4. Suppose -2*f = -f - r. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*d + 4*h = -176*d - 8, -1 = -h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.36757094\nAnswer: 0.73514188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, -226 in increasing order.\nAnswer: -226, -12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73.0000125 + -73. What is h rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 10:53 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:54 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -95602 less than or equal to -5431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(2\/53)\/p)\/p)**47\/(p*p*p\/((p*p*p\/(p\/p**(-23\/4)))\/p))**(-23) assuming p is positive.\nAnswer: p**(38165\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 9*w + 208. Let v = 30 + -47. Let g = v + w. Solve 0 = -3*i - 6 - g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-3))**(-28))**(-37))**(-8) assuming y is positive.\nAnswer: y**24864","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 8688?\nAnswer: 3475.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*a + 31*a**2 + 52*a + (0 - a**2 + 0)*(-1 + 4 - 1) + a**2 + 1 - 1 + (a**2 - 6*a**2 + 3*a**2)*(0 + 2 + 0) as d + i*a**2 + b*a and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u + 4*u + 2*u)*(-11*u - 85*u + 208*u)*(1 + 2 - 1)*(-4 - u + 4) as n + g*u**2 + w*u**3 + s*u and give w.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/100 and 57\/50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -246.23 + -2.77. Let v = q + 249.9. Which is the third smallest value? (a) -0.4 (b) v (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -11 - (3 + (3 - 9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2091421 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398665?\nAnswer: 5, 71, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q**3 - 770*q**2 + 770*q**2.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-7 - -15 - 31).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 403*n - 122. Let m be j(5). Suppose -x + 18 = 2*x. Is (x\/(-9))\/((-2)\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070506807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/6139 - -10436\/1884673. Which is the fourth smallest value? (a) n (b) -1\/2 (c) -0.37 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 15 - 9 + 14 + 5*i - i + 2*i**2 + 2*i. What is the least common multiple of 20 and h(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, s: 2, j: 7, l: 1}. Give prob of picking 2 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 + 3*c. Suppose 8*b - 10 - 14 = 0. Let h(f) = 7*f**2 + 6*f. Let p(z) = b*h(z) - 5*m(z). Solve p(j) = 0 for j.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c2 - -33?\nAnswer: -8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 34 = v, -2*t + 0 - 10 = 0. Let m = v - 28. Let w be 2\/9 - (-2)\/(-3). Is m greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 9:13 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + o**2 + o - 5. Let m be j(0). Let x be (-2)\/((-3 - 0)\/((-36)\/(-8))). Suppose 5*n - 4*n + x*n = 0. Sort n, m, -3 in decreasing order.\nAnswer: n, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*sqrt(68) + -4 + -5)*-3)**2*1.\nAnswer: -12708 - 2592*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**(-2)\/u)*u)**(-5\/6))**(-20)*(u**(-4)*(u\/(u*u**(-10)))\/u*u)**(-11\/2) assuming u is positive.\nAnswer: u**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -7*s. Suppose 2*z + 12 - 4 = s. Let m be z\/8 - (-540001)\/2. Round m to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(173\/(-18) + (-138)\/(-1242))*-2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2353624673.\nAnswer: 229, 1759, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 19.1. Let r = 6 + -10. Let n = 4 - 4.3. Which is the closest to i? (a) n (b) r (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(16\/9))**(-5\/4) assuming y is positive.\nAnswer: y**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (4 - (4 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 18, k: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 16567409*n**2\/3 - 11044938*n.\nAnswer: -n*(n - 16567407)*(n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 286? (a) -1 (b) 2\/7 (c) -0.1 (d) 1 (e) -11.192\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -59.8. Let a = 16 - g. Sort 2\/5, -1, a in increasing order.\nAnswer: -1, a, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -299460200?\nAnswer: 1\/74865050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 16*c + 3. Let a(y) = -2*y + 1. Let i(q) = -4*a(q) + j(q). Determine i(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143528 and 13048?\nAnswer: 143528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6411990 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 r when four letters picked without replacement from nnrrnrrnrrnnrnnrnnnr.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6\/(s\/s**(-12)) assuming s is positive.\nAnswer: s**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 3*w - 2*z, 5*z + 6 = -3*w + 68. Solve -348 = -w*h - 228 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 18*h**2 - 18*h + 21. Suppose 9*m - 5*m = 24. What is the smallest common multiple of (-64)\/(-6) - (-2)\/m and l(17)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 23*n**2 + 9*n + 19. What is the derivative of o(a) wrt a?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*p - 14, 0*p + 25 = 5*p + 4*g. Suppose 0 = 5*h + 16 + 9. Which is the second smallest value? (a) -3 (b) -1\/2 (c) h (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/7, -1, 19, 148, 0, -0.1, -0.43?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31723792741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -17. Suppose 0 = 3*x - 3*s + 5 + 7, -3*x - 20 = -k*s. Solve 5*w = 2*q - 26, -4*q + 20 = -x*w - 2*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -12. Let t = 1 - 1. Suppose t = 5*p - 2*y - 65, q = p + 4*y - 21 - 14. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 9, w: 4}. What is prob of sequence we?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 35*q**2 + 23*q - 282. Let b(w) = 22*w**2 + 15*w - 188. Let l(h) = 8*b(h) - 5*k(h). List the prime factors of l(16).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003295 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t. Let v(w) = -21*w**2. Determine v(d(i)).\nAnswer: -1701*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-750)\/80)\/15*-8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120200220021 - 10?\nAnswer: -2120200220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 27549*s - 275518. Give l(10).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/27 and 79\/105.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -7 + (-13 - -17 - 12)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/7 - 1770632*v\/7 + 783784419856\/7 = 0.\nAnswer: 885316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2. Let a(j) = -14*j**2 - 2*j + 2. Let h(s) = 15*s**2 + 3*s - 3. Let o = 24 + -22. Let n(d) = o*h(d) + 3*a(d). What is n(f(i))?\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (44\/(-21) - 18\/(-27))*756\/(-270) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3313\/4 + 809. Find the common denominator of m and 2\/(-12) - (190\/165 + 0).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -29. Let f(d) = d**3 - 5*d**2 - 6*d. Let g be f(6). Solve g = -x*h - 1 + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 24*y = -20*y + 15, -4*y + 5 = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-700)\/(-14)*(-2)\/10*(40\/(-75))\/2\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864824.\nAnswer: 2, 17, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -341*j**3 - 5*j**2 - 4*j - 6. Let w be t(-2). Suppose -m + 11*m = w. List the prime factors of m.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1683 (base 10) to base 9\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c*c\/c**(-1)*c))\/c)**(4\/9)\/(c**(-3\/5)*(c*c**(-4))\/c))\/((c\/(c*c\/c**(2\/7)))**(1\/22)\/(c**(-2\/3))**(6\/7)) assuming c is positive.\nAnswer: c**(12743\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:20 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87\/2*z - 81 - 3\/2*z**2.\nAnswer: -3*(z - 27)*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -75, -88, -67, 0, 125?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + 2*1*(sqrt(275) + 5))**2 + 1.\nAnswer: 360*sqrt(11) + 2363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - -20. Calculate the remainder when t is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 4 (c) -2 (d) -3.4347\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -346.\nAnswer: 1\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {a: 7, n: 7, m: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 4*d - 4. Let u(t) be the third derivative of -t**4\/24 - t**3\/6 + t**2. Let g be u(-4). Give m(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1532 (b) -5 (c) 1 (d) 0 (e) 3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4608 - -83?\nAnswer: -4545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23268*o**2*t**3 + 24*o**2*t**2 - 691*o**2*t + 8*o**2 - o*t**2 - 1816*t**4 wrt t.\nAnswer: 139608*o**2 - 43584*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 10:24 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 222338 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2. Let u(m) be the first derivative of -9 + 0*m**2 + 0*m + 68\/3*m**3. What is r(u(i))?\nAnswer: 4624*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-42)\/24)\/(-7)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4254944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3512393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23513420 - 5?\nAnswer: -23513425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01302 + -0.00038. What is the third smallest value in -2, d, -3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -22, -5\/12, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*h + 2*h + 5, 2*a - 15 = -h. Let b = 15 - a. Suppose k + 2*p + 31 = 6*k, -k = 4*p - 15. Solve k = -b*c + 22 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = 30. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10}. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42 or 450\/11?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -360\/7, -848, 1\/6 in ascending order.\nAnswer: -848, -360\/7, -4\/5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*s - 52 + 181 = 0, 3*s - 3 = 0. Let r = y - -67. What is the common denominator of r and 31\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/z**(-2\/5))\/z*z**(-6))\/(((z\/(z*z**(-13)))\/z)\/((((z\/z**1)\/z)\/z)\/z)) assuming z is positive.\nAnswer: z**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 0, -2*c = -0*c - x. Let j(b) be the second derivative of -b**4\/4 - 19*b**3\/6 - 3*b**2 - 4*b - 5. Let w be j(-6). Solve -3*k + 6 + w = c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 6*h**2 - 5*h - 9. Let l be d(7). Let u = 86.548 - 0.448. Let y = u + -86. What is the closest to -1 in -1\/5, l, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 22*a**2 - 4*a + 8. Let f(q) = -23*q**2 + 2*q - 9. Let h(d) = -4*f(d) - 3*t(d). Is 18 a factor of h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3669780, -7339580, -11009378, -14679174, -18348968, -22018760?\n\"Answer: r**2 - 3669803*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*f + 2*f - 36 = 0, -2*f + 24 = 3*l. Let d(a) = 3*a - 42. Let k be d(16). Calculate the smallest common multiple of (0 + 42)\/((-10)\/2 + k) and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(24\/(-27))*-4. Suppose -4*p - p = 10, 4*z - 5*p - j = 0. Solve 0 = -z*l + l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3034017 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1331125, -2662250, -3993375, -5324500, -6655625?\n\"Answer: -1331125*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -13.19261.\nAnswer: -2.638522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 20 = 15*f. Suppose 0 = -4*g - 5*k + 2*k - 13, 0 = 4*k - 4. Sort 0, g, f in ascending order.\nAnswer: g, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*z = -47, -4*s + 0*s = 4*z - 40. Let w = -8 + s. Suppose -2*m + 0*m = 10. Put w, 2, m in decreasing order.\nAnswer: 2, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p = -5. Let q = p + -2. Suppose 0 = -4*j + z + 61, -q*j - z - 4 + 41 = 0. Calculate the least common multiple of 12 and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 446311\/174 - 2565. Find the common denominator of m and 61\/232.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -6*j - 33. Let y(s) = -s**2 + 10*s - 12. Let n be y(j). Let c = 34 + n. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -32\/95 (b) -0.032 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67542.\nAnswer: 2, 3, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4677 - -4680. Solve 2*v = -5*z + 16 - 9, 3*v = i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**2 - 11*u - 9. Let z(y) be the third derivative of y**5\/60 - y**3\/6 + y**2. Let x = -1663 + 1659. Let b(g) = x*z(g) - k(g). Give b(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-3))\/((-36)\/(-81)). Suppose -120 = -p*n - 0*r - 3*r, -3 = r. Suppose n = 6*o - 17. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 divided by 602?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99303754?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 9 + 5*i**2 - 3*i**2 - 9*i. Calculate r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 2*u + 1. Let x = 2 - 5. Let i be p(x). Solve -5*d - 26 = -5*h - 2*d, -5*h - i*d = -12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 z when four letters picked without replacement from mzmzlzz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*i + 398, 3*v - 227 = -4*i + 55. What is the highest common factor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + 74*g - 33. Let q be x(24). Solve -d - 4*n - q = 0, 4*n = 3*d + 2*n - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-108) + (-4)\/(-24)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6235)\/(-860)*3\/87*172?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 307*b*m**3*p**3 - 132*b*m**2*p + b*m - 1095*m**3*p**3 + 2665*p**3 wrt m?\nAnswer: 1842*b*p**3 - 6570*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**5 - 1820*n**4 - n**2 + 307*n - 1?\nAnswer: -120*n**2 - 43680*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-2\/11)*t*t)*t*t**11*t**(2\/35)*t**(-1\/18) assuming t is positive.\nAnswer: t**(70571\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-352)\/(-12))\/(1\/12). Calculate the greatest common factor of 44 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 2*x**2 - 7*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + (-8 + 3 - -3) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 29*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 6. Let f(r) = r - 7. Let h(d) = 4*f(d) - 3*o(d). What is h(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - a**2 - a + 62. Let u be n(0). Let l = -126587 + 127021. What is the highest common factor of u and l?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-908)\/(-26) - ((-15878)\/(-442) + -36). What is the highest common factor of c and 15295?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90043815 to the nearest 10000.\nAnswer: -90040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 493880489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 36*q + 84. Let x be p(-14). Let c be 7\/147*-6 + (-22)\/x. Factor 13\/2*d - 15\/2*d**2 - 2 - c*d**4 + 7\/2*d**3.\nAnswer: -(d - 4)*(d - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**1*l\/l**(2\/3)*(l**(2\/11)*l)**48 assuming l is positive.\nAnswer: l**(1916\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c + 3. Let u be r(-2). Let o(f) be the third derivative of 41*f**5\/60 + f**4\/24 + f**3\/3 - 30*f**2. What is the tens digit of o(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1069217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 330853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 11. Let l be 108\/63 - (-4)\/14. Suppose 0*k + 2*k - l*r + 4 = 0, -2*k - 2*r + 16 = 0. Solve -k*f + h = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -346 > -3793\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/293 in -5, 0.3, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51.51025 + -0.10025. Let z = q - -12.69. What is z rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.4, -0.58, -96?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6238 - -10960. Suppose -4*f + c = -2*y - 14812, 0 = 2*y + 10. Round f to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/30680 and -3\/590.\nAnswer: 30680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 13*p - 11*p - 4*b, 4*b + 15 = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (sqrt(320) + 1)*-6)**2.\nAnswer: 672*sqrt(5) + 15716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 75\/(-2*(-2)\/(-152)). Let q = n - 8150. Round q to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -125.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 19 - 7790\/(-328).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13729\/70895 + 90\/14179. Solve 1\/5 + 1\/5*y**3 - 1\/5*y - g*y**2 = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**3*b**(-23)\/b assuming b is positive.\nAnswer: b**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -39*v + 1. Let o be p(-9). What is the greatest common divisor of o and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2792.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.0266943 rounded to 0 decimal places?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -9*q + 64. Find the common denominator of 93\/22 and 118\/(-50)*(-35)\/q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by 120.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 112 + 108 = 0, 3*l - 5*k = 9 + 5 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = 0, 6*s - 38 = 2*s + k. Let n(j) = -29*j**2 - 3*j - 3. Let o be n(3). Let v = o - -383. Calculate the highest common divisor of s and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -66*i + 61*i + 10, 4*i = -3*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13*a**2 - 5*a - 3*a + 5*a - 4 + 4*a. Let d be o(2). Differentiate 157*p**2 - 29*p**2 - d*p**2 - 43*p**2 + 16 with respect to p.\nAnswer: 70*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**3 + 49*x**2 - 7*x + 8. Let a(y) = -6*y**3 + 25*y**2 - 4*y + 4. Let o(g) = -7*a(g) + 4*f(g). What is the third derivative of o(v) wrt v?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 6*w - 184764, -6*w + 307951 = 5*d - 7*w. Round d to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = -4*k + 3*k. Let j = -149 - k. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 11 = 4*r - 1, -r - j + 3 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -62*w + 528 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**3 + 13*n**2 - 6*n - 6. Give v(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000119 to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 3 + 3)*(8*r**2 - 15*r**3 + 0*r**3 + 16*r**3) in the form c*r**2 + n*r + g*r**3 + d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/141763 and 32\/1883.\nAnswer: 992341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -11 + (2 - 25) - -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + l + 5*l**3 - l**3 + 0*l + 0*l**2. Let g be k(-1). Sort g, 3, -4 in decreasing order.\nAnswer: 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*x**2 - 15*x - 5*x + 20*x - 257*x**2.\nAnswer: -309*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -43) + (3 - 3). Suppose 6*d + 25 = d, 0 = 2*f - 4*d - g. Suppose -3*s = -129 - 51. What is the greatest common factor of f and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.8658 and -626.7149?\nAnswer: 617.8491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*l + 70 = -88*l. Solve 0 = -5*m - l*z + 5, 3*z - 8*z + 9 = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 80\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/11)\/((-4)\/2). Suppose 25 = -2*b - 5*z, 5*b + 25 = -5*z - u*z. Suppose -5*n + 20 = 0, -k + b*n - n + 33 = 0. What are the prime factors of k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lwwlllwclgllwlc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 3:39 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*x**2 + 5*x**3 + 3 - 4 - 8*x**3 - 14*x**2 - x to p + j*x + m*x**2 + t*x**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48800360 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 299 - 298.9665. Let n = -0.091 - i. Round n to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -60 - -2?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6008*x + 12020*x - 5999*x + 1 - 35*x**2.\nAnswer: -35*x**2 + 13*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 2. Let l be m(2). Let q(x) = 3*x + 0*x + 3*x - l*x**2. Let a(y) = -1. Let g(s) = 4*a(s) - q(s). Factor g(p).\nAnswer: 2*(p - 2)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15025.\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/21)\/x*x\/x**(-16) assuming x is positive.\nAnswer: x**(337\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308, 308, 310, 314?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 9*i - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c - 2. Let n(j) = -5*j - 117 - 113 + 233. Suppose 0 = -82*p + 92*p - 30. Give p*d(l) + 2*n(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2860, -11486, -25862, -45988, -71864?\nAnswer: -103490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (107*1)\/(55\/(-275)). Let h = -356 - q. Calculate the remainder when h is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 3*q**2 + 2*q - 4. Let g be s(3). Let r(p) = -2 + g*p**2 - 3 - 8*p + 1. Let k be r(6). Solve -v = -5*o + 24, 0 = 2*o + 2*o - v - k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 0*m + 0*m + (-3 - 2*m + 3)*(-m + 3*m + 0*m) + (2*m + 2*m - 7*m)*(1 - 1 - m) in the form j*m + s + l*m**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.9, -5, 2\/27, 1\/6, -95?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1603 and 5725?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 - -17. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 471, 410, 337, 246, 131, -14?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6*c - 3*c + 286, p - 290 = c. What is the lowest common multiple of p and 511?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1857ee + c?\nAnswer: 18580b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/5)\/w*w)\/((w**(-1)\/w)\/w) assuming w is positive.\nAnswer: w**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155294760.\nAnswer: 2, 3, 5, 1294123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 801 - 40*h**2 - 367 - 403 as b + r*h**2 + j*h and give b.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, e: 4}. What is prob of sequence ee?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 3424064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 314139 and 9849.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4469.\nAnswer: 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 100 = 4*v, v + 3773*y - 13 - 22 = 3769*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 860 and 1434685.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 18433\nAnswer: -7\/18433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.45845 + -5.\nAnswer: -0.54155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i - 17. Let u be a(-5). Let j be ((-3)\/(-6))\/((-22)\/12 - u). Solve -j*o = -5 + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 63*n**2 + 3663*n + 86. Determine p(-58).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1024 (b) 1.9 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 = 3*z - 4, 4*n - 3*z = -13. Which is the closest to n? (a) 1\/3 (b) 2\/9 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*(-5 + 2*sqrt(176)) + 0)**2.\nAnswer: -2400*sqrt(11) + 25969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -758 take away 8?\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w. Let d(i) = 3*i + 3. Let a be 3\/(-3)*(-2)\/2. Let q(c) = 11*c - 28. Let b be q(3). What is a*d(o) + b*v(o)?\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 2*x**3 - x**3)*((-1 - 2*x + 1)*(-1 + 3 + 0) + 2*x - 2*x - x - x + 3*x - 4*x - 2*x + 3*x + 0*x + x + 4*x - 3*x).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 644 + -308. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17\/9 - -359\/171. Let j(s) be the second derivative of -s**3\/6 + 3*s**2\/2 + 4*s. Let d be j(2). Is h greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6042367 and 26148?\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 2:17 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -26.87 times -3\nAnswer: 80.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(3\/7)*m\/m**(-1))\/(m**(-1))**50 assuming m is positive.\nAnswer: m**(374\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001179073 to 6 decimal places.\nAnswer: 0.001179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.144 - 66.144. Let z = a - -66.46. Let l = z + -0.45999608. What is l rounded to seven dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -17\/114 and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 17*o**4 - 3*o**3 - 7. Let j be (-11)\/1 + (4 + -3 - -2). Let b(h) = -51*h**4 + 8*h**3 + 20. Let k(a) = j*i(a) - 3*b(a). Differentiate k(m) wrt m.\nAnswer: 68*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m**3 + 1 - 26*m**2 + 26*m**2.\nAnswer: 20*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 46*b**2 + 4*b - 7. Let v be (-8 + 2)*7\/(-21). Is u(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -862*v + 15717 with respect to v.\nAnswer: -862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63563 - -7?\nAnswer: -63554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = 5*y - 3*h + 52, -4*y = -3*h - 30 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216463 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khhq when four letters picked without replacement from {k: 4, q: 5, h: 3, r: 7}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26429?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 5:21 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 577, 2118, 3671, 5242, 6837, 8462, 10123?\n\"Answer: u**3 + 1534*u - 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -19*(-3)\/(-12))\/(9375\/200)*5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -133542 and -1852.\nAnswer: 247319784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 0*h**2 + 109\/3*h**3 - 1\/5*h**5 - 13\/2*h**4 + 0*h - 88. What is the third derivative of w(z) wrt z?\nAnswer: -24*z - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 33*u**3 - 3*u**2 + 2*u + 2. Let d be y(1). Is d at most as big as 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1153 and -365?\nAnswer: 420845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 842\/5 - (-10)\/(-75)*3. Suppose -9*x - c = -2*x. Let s be x\/32*(0 + 2). What is the second smallest value in -4, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = 5*k - 11*k. Suppose -6*i + k = -i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (0 - -4) - -2. Suppose -c = 2*b - 7*b. What is the units digit of b\/((44\/80)\/11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**2\/2 - d - 26. Let t(u) = -9*u**3 - u - 6. Let n(g) = t(g) + v(g). What is the derivative of n(w) wrt w?\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 14*p**2 - 6*p + 4. Let z be o(5). Let d be 5\/2*(0 - -202). Let s = d - z. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**4\/24 - 21*j**2. Let m = -4 - -8. Let b(z) = 4 - 3*z**2 - m + 0*z**2. Give b(h(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008397 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 323, 5, 16.\nAnswer: 5, 16, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 17*q + 5 + 0.\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 53.42 times -9.03\nAnswer: -482.3826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 421*n + 3300. Let f be j(-8). Let c(g) = -27*g**3 - 4*g**2 - 4. Let u(m) = -28*m**3 - 3*m**2 - 3. What is f*u(i) + 3*c(i)?\nAnswer: 31*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 6 + ((0\/11)\/15)\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(175)*-2*3)**2.\nAnswer: 226800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 5*l**2 - 30*l - 5. Let v(j) = j**3 - 3*j**2 - 15*j - 3. What is -5*v(t) + 3*y(t)?\nAnswer: -2*t**3 - 15*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + j - 3*j + 4*j + 22, -10*o - 53 + 18 = 5*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**5\/15 - z**4\/4 - 2*z**3\/9 + 2*z**2 - 8*z\/3 + 670. Factor c(j).\nAnswer: (j - 2)**2*(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43253*q**3 - 3*q**2 + 5*q**2 - 21598*q**3 - 21652*q**3.\nAnswer: 3*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 2*d - 16, 3*l + 5*d + 11 = 61 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 11 + 61 = 0. Suppose 2*o = -g - 0*g + 9, 4*g - 3*o = p. What is the greatest common divisor of g and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/6 + 2*l**3\/3 + 3*l**2\/2 - 10*l - 4. Let m(o) = -6*o**2 - 11*o - 9. Determine -6*m(y) - 17*v(y).\nAnswer: 2*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 35227*c + 2923842. Calculate l(-83).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7858*o + 12. Let h be l(-14). What is h rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -121*f**3 - 2*f**2. Let k(x) = -51183*x**3 - 847*x**2. Give -6*k(j) + 2541*s(j).\nAnswer: -363*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012299 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13 - 20) + (-6 - -4 - 3). Are -37 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 688*k - 571*k + 1170 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0 + 4 = 0. Let t be -3*k\/3*2. Is -2 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qad when three letters picked without replacement from {d: 5, g: 4, c: 1, q: 2, a: 2}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*j + 5 + 18*j + 15*j)*(-2 + 2 - j**3).\nAnswer: -8*j**4 - 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 b when four letters picked without replacement from itbbtbtttbit?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 38, 1\/2, 0.03, 0.02?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37143625?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*z - 36 = -6*o, -5*z = 10. Suppose 5512 = 5*a + o*a. Let p = 673 - a. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1428, -5, 5\/4, -12?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*b = 5*b - 11, 4*b = t + 11. Does 23 divide -1*1 + (t - -56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -888? (a) -0.14 (b) 4 (c) -1 (d) 0.2 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60)\/6*(-2)\/4. Suppose -2*x = -s*x + 15. Find the second derivative of -2*w - 5 - 2*w**x - w + 5 wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13847, 14305, 15545, 17957, 21931, 27857, 36125?\n\"Answer: 65*w**3 + w**2 + 13781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77679 and 231?\nAnswer: 854469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 64*x**2 + 38*x + 2. Let j be y(-2). Calculate the greatest common divisor of 658 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 22 + 32*d - 1 - 1 - 12*d**2 - 6*d**3 + 18*d**2.\nAnswer: -2*(d - 3)*(d + 2)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 35*p**2 - 15*p + 76. Is k(-8) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.38 - -26.38. Let l = -791.55 - -817. Let a = l - i. Round a to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1637 (base 10) to base 3.\nAnswer: 2020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24 - 4)*-1*1. Suppose 8*a + 5*g - 49 = 5*a, g = -2*a + m. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 10:09 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 663158*1*1900\/10. Suppose -4*m - 16 = 0, c = 12*i - 16*i - 5*m. What is i rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120*y**2 + 482.\nAnswer: -240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 38*s**2 + 70*s - 6. Give g(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 - 496744*y + 30844325192 = 0. What is y?\nAnswer: 124186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.97 + 0.03. Let d = x - 2.6. Let h = -9757\/2 - -4880. Which is the second smallest value? (a) d (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-3))\/((7\/12)\/((-5334)\/7620)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -5 (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 0 - (sqrt(13) + sqrt(117)*-1))**2*4 + -5.\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1706, -6918, -15616, -27800?\n\"Answer: -1743*c**2 + 17*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/604*(732\/432 + ((-1819)\/(-68) - 28))\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/28728 and -127\/42.\nAnswer: 28728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -20 + (-130 - -166).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/47)\/(a*a**(3\/4)\/a*a*a*a) assuming a is positive.\nAnswer: a**(-697\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -121, -561, -1339, -2461, -3933, -5761, -7951, -10509?\n\"Answer: -o**3 - 163*o**2 + 56*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19187 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 588.9848 tonnes?\nAnswer: 588984.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*o = -12, m + o - 6 = 3*o. Suppose 5*q - 245 = 95. Suppose q = i + m. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 p when four letters picked without replacement from pdpppydydpyi.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 7*c + 0*c + (2*c + 2*c - 5*c)*(-2 - 1 + 5) + 5*c + 0*c - 6*c as s*c + w and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1796 = 236. Round b to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 6?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -16.1. Let y = t + 0.8. Suppose 6*f - 5*f = -1. Is f != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, 0.4, -18, -5\/4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u. Let k(j) be the second derivative of 0*j**2 + 0 + 1\/6*j**3 + 4*j. Let y(t) = 5*k(t) + o(t). Let s(b) = -4*b**2 + 1. Give s(y(f)).\nAnswer: -4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4824 - -6273. What is the greatest common divisor of 189 and z?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 99177.33 milligrams?\nAnswer: 0.09917733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 12 - -32) + -27?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 271542 and 668?\nAnswer: 543084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 58144508 and 220.\nAnswer: 58144728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 147 divided by -56925\nAnswer: -49\/18975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b + 14*b + 5*b - 406402. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31628, 8, 1\/3, 14 in descending order.\nAnswer: 14, 8, 1\/3, -31628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + e73?\nAnswer: e77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -91*g**3 + 9292*g**2 - 19301*g + 10100 = 0.\nAnswer: 1, 101\/91, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71 - -72) + 9 + 10 + -20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/sqrt(5) + 3.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d - d)*(-2 - 2 + 5)*(27 - 14 - 28)*(4*d - 2*d - d).\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -10 - 2. List the prime factors of 2574\/24 - (-1)\/b.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59391274 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.03 (b) 2\/11 (c) 1025 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 3:12 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*j + 49*j - 15*j)*(2 + 3 - 8) + (0 - 2*j - 1 + j)*(-4 - 2 + 4) to p*j + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (30\/25*-1)\/(20\/150)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1773*o - 50*o**2 + 1773*o.\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120918 and 234542.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 11*c - 2*c**2 - 4*c**2 + 2. Let p(u) = -4*u**2 - 5*u + 1. Calculate -8*p(g) + 5*w(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*2 - 15\/(-6). Let k be 4 + (-142)\/36 - 3\/(-18). Which is the nearest to -1? (a) k (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1134951, 1134960, 1134971, 1134984, 1134999?\nAnswer: 1135016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 12. Let o = -54 - l. Let r = -24 - o. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4388 = -44*x + 40*x. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f**2 + 57*f\/2 + 15\/2 = 0. Calculate f.\nAnswer: -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 1:40 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-2)*(-5)\/4. Solve n*k + 6 = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.475 + 3.475. Which is the closest to 0? (a) 1 (b) -0.7 (c) u (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2171 (b) 0.2 (c) -98 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-4*w - 3*w + 4*w)*(3 - 4 + 3)*(-5*w + 8*w + 3*w + 4).\nAnswer: 36*w**2 + 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxb when three letters picked without replacement from {x: 2, a: 9, i: 1, b: 6}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15550 and 99551100.\nAnswer: 99551100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 + 87 = -15*v - 65 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w, -o + 160 = -w + 6*w. Calculate the greatest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1250427 and 33.\nAnswer: 13754697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5690a2 (base 12) to base 9.\nAnswer: 2538745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 14612?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -16 - 0. Suppose 0 = 3*o - 2*s - 40, 2*s = -k*o + 50 + 8. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3429*w + 38497. Determine v(-11).\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -2 (c) 2 (d) 0.1 (e) -84.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2885612113 to the power of 1\/2, to the nearest integer?\nAnswer: 53718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 6. Let a(i) = i - 6. Let t(u) = -6*a(u) + 7*c(u). Suppose 4*y = 3*y + 4. Suppose q + 7*x = 5*x + 13, 2*x - y = 0. Calculate t(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-429)\/22)\/(12\/8)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2425 is divided by 84.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmdscxcmxsmmmcj. What is prob of picking 1 x, 1 s, and 2 c?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -670*a + 10068. Calculate z(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 7*m + 40 = -2*r + 14*m - 26*m, 3*r + 4*m + 53 = 0 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -427860145, -855720290, -1283580435, -1711440580, -2139300725, -2567160870?\n\"Answer: -427860145*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 110*j**2 + 221*j - 345. Calculate q(-112).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76202\/15*h**2 + 8704\/3*h - 2072\/5 + 98\/15*h**3.\nAnswer: 2*(h - 777)*(7*h - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*v + 7 - 57, 14 = -v - d. Let i = 1075 - 463. What is the common denominator of (v\/(-8))\/(-1)*i\/630 and -71\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 6 + -3 + 5 + -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 312161 to the power of 1\/2, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 14*s + 9. Let r(v) = 3*v + 2. Let i(w) = -9*r(w) + 2*u(w). Let f(y) = 5*y**2. Give i(f(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -3*n**8\/56 - n**7\/21 - 17*n**6\/30 - 460*n**4 - 2*n - 312. Find the third derivative of s(x) wrt x.\nAnswer: -360*x**3 - 120*x**2 - 408*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5345 a factor of 2285494788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 32*p**2 + 193*p. Let x be y(8). Solve -x = -10*o + 6*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*f - 2920 + 2516 - 6673 = 54*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10121000101022 (base 3) in base 4?\nAnswer: -13102030121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x + 3*a = 40*x - 2859, 4*x + 5*a - 2265 = 0. Calculate the highest common divisor of x and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664548869 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 1 + 5 - 6. Let u(o) = o + 1. Let f(q) = q. Let w(c) = -3*f(c) + 2*u(c). Determine w(h(j)).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from {g: 1, o: 1, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 3. Let c(w) = 3*w**2 - 6*w + 13. Let o(d) = 2*d**2 - 3*d + 7. Let u(x) = 3*c(x) - 5*o(x). Give u(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*150\/(-45)*(-6)\/(-5). Suppose -88 + 312 = m*b. Solve b*v - 12 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1160)\/(-638) + (-6)\/(-33). What is the nearest to -233 in -4, -3\/7, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 15) to base 7.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 3518\/176995 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1958 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/6)\/(2\/3). Let x(w) = w + 10. Let m be x(-9). Suppose -13 = -h*s + s + 5*t, -m = 3*s + 5*t. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/44*(19\/(380\/12))\/1?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -14*t**2. Let p = -8 + 8. Let d(g) = -3*g + g + g + p*g. Give r(d(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3551628 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.9 (b) 1\/7 (c) -1\/3 (d) -685 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2599 divided by 113?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22308 - -28823. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333915.5l to millilitres.\nAnswer: 333915500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23709, 23707, 23705, 23703, 23701, 23699?\n\"Answer: -2*x + 23711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/3)\/(4\/(-4098)). Suppose 0 = 3*c - q - h, -q = 2*c + q - 924. Suppose 6*i - c = 221. List the prime factors of i.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/25)*f*f**(-3) assuming f is positive.\nAnswer: f**(-51\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 - 40*k - 112. What is y(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 217 + 72 - 147 - 261?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 3*o - 16. Let j be f(6). Suppose 0 = -4*k - a + j*a + 556, 0 = 4*a - 16. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001511239 to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:58 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**3\/15 + 4748*u**2\/3 + 14089690*u\/3 = 0.\nAnswer: -5935, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 351688070?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3242660*-0.3\nAnswer: -972798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4378817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 499*k**3 + 82775*k**2 - 4563125*k.\nAnswer: k*(k - 175)**2*(k - 149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -456 + 499. What is the remainder when 124 is divided by x?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202084 divided by 19?\nAnswer: -10636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-14) - (-6)\/(-21). Let c be (-1 - (5 - 9)) + t. What is the closest to -2\/3 in c, 5, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 16 = -3*j, q + 10 = -3*j - 0*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) -4 (c) -3 (d) 21\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 38*g**2 + 8*g.\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*o = s + 150, 3*s - 2*o - 156 = 0. Let l be (-1)\/1*s\/(-189). Factor -l*c + 0 - 8\/7*c**2.\nAnswer: -2*c*(4*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 2*j + 15*j in the form y*j + v and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 44. Let d(g) = 2*g**2 - 3*g + 1. Let q be d(v). Solve -2*z + 5*z = q*l - 3, 3*z - 5*l + 7 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000001000 (base 2) to base 10\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.311 * -1.7\nAnswer: -0.5287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -38. Which is the third smallest value? (a) 1\/2 (b) 3\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 + -53. Suppose 0 = d - f - 9. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + x = 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 4*c - c)*(6520*c - 343 - 6517*c + 342 + 169*c**3).\nAnswer: -169*c**4 - 3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (95\/40)\/((-5)\/(-29720)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 5:01 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -160, -609, -1352, -2389, -3720, -5345?\n\"Answer: -147*x**2 - 8*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(4\/9)*(((z**(-9)\/z)\/z)\/z)\/z*(z\/(z*z\/z**(-7))*z)\/z*z*z**(-7)*z)**(-9) assuming z is positive.\nAnswer: z**221","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -423a7 (base 14) to base 5.\nAnswer: -20104022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = -45*n + 6141632. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*n + 27388 = 4*q, -13690 = -q + 2*n. Is 2\/((-8)\/q*-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -17 (b) 0.4 (c) 0 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y + 6. Let a be x(-3). What is the remainder when 45 is divided by (-8)\/a*-3 + 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -2859457.\nAnswer: 66\/2859457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/15 + (-5)\/((-100)\/16).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 15. Solve 5*u = 2*x + 3*u + 8, 0 = 4*x - 5*u + k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -2593715?\nAnswer: 33718295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**2 - 3*d**2 + d**2 + (-32*d + 356 - 356)*(0 + 0 - 3*d) - 6 - 2*d + 4 + 2*d**2 + 1.\nAnswer: 90*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*r + 516*r - 30 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 7*q - 8. Let o be u(-8). Let t be (-1 - -3)*(-1 + o). Let c(z) = -z**3 - 4*z**2 - 3*z - 1. What is c(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2725*l**3 - l**2 - 1540*l**3 - 1096*l**3 + 786*l**3.\nAnswer: -4575*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-12) - 1) + (7 - (-200)\/(-30)). Solve h = -49*w + 51*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 43. Let b be m(8). Suppose 2*j - b*l - 306 = -j, -4*l = -3*j + 308. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)*y)\/(y\/((y\/(y\/y**(-1\/2)))\/y)))\/(y**(-1\/15)\/(y*y**(-5))) assuming y is positive.\nAnswer: y**(-61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**5\/5 + 11*q**4\/24 - 4*q**2. What is the second derivative of l(m) wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155 + 139. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 87955.55t?\nAnswer: 87955550000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*u + 9. Calculate the least common multiple of u and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w = -4*u + 101, -u - 5*w = -38. Suppose 0 = 3*x - h - 1, x = 5*h - u. Let q be ((-15)\/(-50))\/((-4)\/(-30)). Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29, 36, 41, 44, 45, 44?\n\"Answer: -w**2 + 10*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**3 + 2*j**2 + 3*j. Let q be u(-3). What is the highest common factor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5393474826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 209594887 to the power of 1\/3, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 637\/6 + 116\/24 + -5. Suppose v = 5*b - 69. Solve 2*n - 8 = -h, 5*n - 3*h - 2*h - b = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + c1c?\nAnswer: c1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11488491 to the power of 1\/2, to the nearest integer?\nAnswer: 3389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*z**3 - 19032746*z**2 - 34893412*z + 6344256 = 0. What is z?\nAnswer: -2, 1\/6, 1586064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + l + 10. Calculate k(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36055143*t - 36055476*t + 7659 = 0 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.7. Let z be (3 - 2)\/((-1)\/(-8)). Let x = z + -58\/7. Which is the closest to -2\/5? (a) x (b) o (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.104*-549666\nAnswer: 57165.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 1. Let x(b) = -b**2 + 4*b + 26. Let f be x(8). Let w(u) = 3*u - 6. Give f*o(i) + w(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743*p + 741*p = 5*g - 73, -15*g - 4*p = -13*g - 42 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 13 = -3*b, -g + 0*g - 9 = 2*b. Is 1\/30 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away 0.146?\nAnswer: 7.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1478.5 + 1478. What is the closest to -1 in -1\/4, x, 4\/3, 37\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(180\/(-16)))\/(12\/1)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -4*i - 20 + 17, -o - 4*i = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 15, -5*c - 4199985 = -u - 2*c. Round u to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 784515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 - 10*k**2 - 9*k - 57. Let m be d(-7). Let n = 2369 + m. What are the prime factors of n?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2517 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1111, 4398, 9871, 17524, 27351, 39346, 53503, 69816?\n\"Answer: -r**3 + 1099*r**2 - 3*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126564*g - 27051*g + 51137*g.\nAnswer: 150650*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 743.702 + -748. Let a = b + -0.262. What is a rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 101596692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 10:12 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -8\/175?\nAnswer: -8\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 0 (c) 2\/353 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*c - 34 + 5, -20 = -4*c. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228554739 and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (-10 - (8 - -16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 23.2, -9.7, 5, -3, -5.016?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4 = -u, 0*u - a = -3*u + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 8 - ((-359 - -355) + (-81 - -1)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 9:39 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -1, -1.06, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - y + 6. Let w = -29 + 11. Let s = 13 + w. Does 8 divide j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1213 = -2*n + 6*n, -c + 909 = -3*n. Let q = n - -450. Suppose -5*a + 5*s - 86 + 261 = 0, -q = -4*a + 2*s. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -1, 8, 0, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 267077509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 943 and 18607.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**5\/120 - h**4\/3 - 10*h**3\/3 + 2. Let m(r) be the third derivative of w(r). What is m(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by ((-12)\/7)\/((-747)\/(-189) - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2 - 22046*k + 14265736 = 0. Calculate k.\nAnswer: -11636, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b + 11*b + 908 = 206 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i + 62. Let p(m) = 7*m - 63. Calculate 6*p(z) + 5*t(z).\nAnswer: -3*z - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-110) + 4678\/(-11). Let v = y - -428. Solve v*o + 2*o = -10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 2, u: 2, c: 2, z: 1, j: 1}. What is prob of sequence jhu?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*c + 24. Let b(n) = n**2 + 1. Let s(r) = -5*r**2 + 7*r - 2. Let d(g) = -6*b(g) - s(g). Calculate d(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48, 45, 42, 39, 36?\n\"Answer: -3*g + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -212923 divided by -42?\nAnswer: 212923\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 26859.\nAnswer: 5\/26859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 - 427a98?\nAnswer: -427a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.050663556 and 5.\nAnswer: 0.25331778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87765*i**2 + 64*i**3 + 173660*i**2 - 85895*i**2.\nAnswer: 64*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) 4 (b) -2 (c) 5 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(((t\/t**(-10\/11))\/t)\/t*t))**(-36)*t**(-33)\/(t\/(t\/((t*t**(-2\/45)\/t)\/t)*t)) assuming t is positive.\nAnswer: t**(-34763\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 = 2*q - 23, -23 = -q + d. Put q, 2, 3\/5 in descending order.\nAnswer: q, 2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 11. What is f(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*w - 17010, 28*i = 23*i - 2*w + 17035. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -59.4. Which is smaller: 0.01 or m?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 522288 and 24102?\nAnswer: 53795664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 114964535 + 0.4\nAnswer: 114964535.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 5:45 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3\/7 (b) 3\/4 (c) 429 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 9*p**3\/2 + 12*p. Let l(m) = 2572*m - 1288*m - 1288*m. Determine l(q(x)).\nAnswer: -108*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + s = -49507, -4*s = 5*t - 51034 + 1512. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1 + 25*j - 30*j + 8. Let a(p) = -p - p - 9*p**2 - 2 + 0*p + 2*p**2. Let d be a(-1). Let b(i) = 3*i - 4. What is d*b(t) - 4*c(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -929 * -0.1\nAnswer: 92.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 105. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -37.256449?\nAnswer: 149.025796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1)\/(-1 - -2). Let v be b\/(38\/(-34) + 1). Let t = v - 9. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -112 + 677?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 = 2*j. Let z(c) be the third derivative of -c**6\/40 - c**5\/60 - c**4\/8 - c**3\/2 - 26*c**2. Is z(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 + 8*r - 4. Let m(k) = 2*k**2 - 6*k + 3. Let w(f) = -4*m(f) - 3*n(f). Let u(j) = 12*j. Give u(w(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.82? (a) 0.78 (b) -7 (c) -12\/7 (d) -1\/2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 2, -0.0372, -1\/5 in decreasing order.\nAnswer: 2, 2\/5, -0.0372, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8623129499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w + 2*w - 10*w - 9*w - 50*w + 16*w + 2*w.\nAnswer: -38*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - 0.1300055. Round q to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13112 (base 4) to base 13.\nAnswer: 2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143501 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108749285?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199697236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 189769 to the power of 1\/2, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -6 (b) -5 (c) -48 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 16.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 110 = -22*x + 45 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - -52155?\nAnswer: 52220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/40)\/(1\/85). Solve 56 = 18*x - n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**3 - 7*m**2 + 5*m - 4. Suppose 2*b - 1 = 5. What is the units digit of u(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 35 = 30. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 17*q**2 - 12*q - 36. Let w be j(18). Let l(k) = 4*k - 4. Let n be l(3). What is the highest common divisor of w and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 0 + 12497*z**2 + 23*z + 74*z**3 + 0 - 12496*z**2 to w*z**3 + u + q*z**2 + x*z and give w.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3121 is divided by 152.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000 - 1010010?\nAnswer: -10101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1861270081?\nAnswer: 11, 137, 1235083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 1160*k**2 + 60945*k + 62100.\nAnswer: -5*(k - 45)*(k + 1)*(k + 276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -6, -0.1, 3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/10)\/(q**(4\/3)\/q)*q**(2\/7)\/(q\/(q\/(q\/(q\/(q\/(q*q**(-2\/9)\/q))))))*(q*q\/(q**(-1\/3)*q))**(-40)\/((q**(-1\/6)\/q)\/q**(-6)) assuming q is positive.\nAnswer: q**(-18691\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 129*w**3 + w**2 + 2*w - 3. Suppose 0 = -21*n - 4*n + 25. Is 10 a factor of c(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162249.4489 - 162170.3. Let q = n - 42.1483. Let t = 37 - q. What is t rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 12. Let j = 3 - 5. Let m be (-1)\/j + l\/10. Solve 4*u + 7 - 27 = m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (468\/(-65))\/(2\/(-5)). Calculate the highest common factor of 774 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16257427 and 1613?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and 0.1?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3, 0.4, 56\/25, 3\/4 in descending order.\nAnswer: 56\/25, 3\/4, 0.4, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 2*f - 4. Let m be j(-4). Calculate the remainder when 15 is divided by 20\/m - (1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 3*r**2 - 4*r + 4. Let d(z) = 2*z - 5. Let v(u) = -2*u - 8. Let g be v(-6). Let s be d(g). Give n(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 261 - 272. Let h = 11.35 + w. Let k = -46\/3 - -15. Sort -0.5, k, h, 0.1.\nAnswer: -0.5, k, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 5607342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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 d be (2\/(-4))\/((-5)\/90). Solve 0 = -2*u - d - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 7*w - 3*w)*(w - 4*w + w).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1650*h**5 - 5*h**3 - 426*h - 5. Let q(p) = 2476*p**5 + 7*p**3 + 639*p + 7. Let d(t) = -7*n(t) - 5*q(t). What is the second derivative of d(w) wrt w?\nAnswer: -16600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 247, -23.\nAnswer: -23, -3, 2, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 3. Let q be (n + 1)\/(10\/(-4)). Solve -q*u + u - 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8100 and 8?\nAnswer: 16200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27126 and 1386?\nAnswer: 189882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i**2. Let k = -186 + 186. Let v(p) be the second derivative of 0 + 14*p + 0*p**3 + 1\/12*p**4 + k*p**2. What is j(v(r))?\nAnswer: 13*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 k when three letters picked without replacement from {q: 1, o: 5, k: 4}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = 3*v - 3, 23 = 5*k + 3*v. Suppose -9 - k = -8*c. What is the units digit of 624\/5 + c\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 14*n**2 + 22*n + 27. Let k be z(12). Suppose 6*c = 3*c - 4*o + 1912, -1908 = -k*c - 3*o. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 8 = -4*d, 0 = w + d - 58. Suppose 5*o + 2*h = 279, -2*o + 27 = 3*h - 89. Let m = w + o. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 + 6*i**3 - 2*i**3 + 4*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21864187 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 857054206 to the power of 1\/3, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z + 0*z**4 + 1180 + 8*z**4 + 1183 - 2365 + 6*z to the form m*z**3 + v*z + c*z**2 + o + d*z**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*((sqrt(72)*1*3)**2 - 1*(2 + sqrt(72) - sqrt(72) - sqrt(72)))*-3.\nAnswer: 90*sqrt(2) + 9685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -56*l**2 + 5*l + 1. Let q be s(5). Let h = q - -19259\/14. Let f = -8\/7 + h. Which is the closest to -1\/3? (a) f (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, e: 9, k: 4, h: 3}. What is prob of picking 1 k and 1 h?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - i - 3*i)*(3*i - 2*i - 2*i) - 19*i**2 + 22*i**2 - 23 - 2*i**2 to the form n*i + v + h*i**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 66*o + 27. Calculate the remainder when n(-10) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 2646.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1. Let x(q) = -15 - 22 - 2*q - 21 + 53. Let n be 2\/3*3*2. Give n*a(w) - x(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 896, 872, 848, 824, 800, 776?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1604, 1629, 1654?\n\"Answer: 25*x + 1579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11522\/14028 + (-3)\/2. Let j = -2\/167 - s. Let y = 995 + -6966\/7. Which is the fourth smallest value? (a) j (b) y (c) -0.3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45704 - -20292565\/444. Let x = h - -4\/37. What is the common denominator of x and -77\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2668 + 2689. Solve d = 2*o + 9 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27054525?\nAnswer: 3, 5, 43, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2 + 4*o - 14. Suppose 381 = 40*w - 339. Calculate the remainder when m(5) is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1428\/(-24)*4\/(-7). Calculate the greatest common factor of y and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 523 divided by 5\nAnswer: 523\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/127 (b) 6 (c) 15\/8 (d) 4\/7 (e) -0.14 (f) 0.3 (g) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 8\/((-12)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/8 and 33\/3029968.\nAnswer: 3029968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -3 (c) -1 (d) 9 (e) -2\/5 (f) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113238 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2 - 1, -3*z = 4*y - 231. Let l = -27 - -42. Calculate the remainder when y is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22902 and 486494?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*k = 1915, -376*k + 381*k - 1445 = 3*a. Which is smaller: 17\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 + 29893a?\nAnswer: 29890a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 48 = 4*f. Let t = 20 - -4. What is the highest common divisor of t and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**4\/6 - 2*j. Let x(c) = 2*c. Give x(h(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 9:24 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + (10 - 9) + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5725*t + 5775*t - 450 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505937673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*t**2\/2 - 81820*t - 1942080.\nAnswer: -5*(t + 24)*(15*t + 32368)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -354 - -45?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -0.6056.\nAnswer: 0.03028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 + 3*b. Let v(w) = -11*w**2 - 8*w. Let z(k) = -8*j(k) - 3*v(k). Let n(i) = 5*i. Calculate z(n(l)).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1757699866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**5\/60 - r**4\/12 + 3*r**3\/2 + r**2. Let x be t(-7). List the prime factors of x\/(-10) - 6\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7260?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 26.5. Which is the biggest value? (a) 6 (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11103730 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -5 + (0 - (11 - 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (500 + 151 + 43)*(-h**3 - 2*h**3 + h**3).\nAnswer: -1388*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 7 = -5*y + 8, 4*o - 4*y = 24 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 6:52 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6166 - -18999?\nAnswer: 22b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.19. Let c = 84.1125 - 84.1. Let y = a - c. What is y rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145 + -56. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 12905 = 9289. What are the prime factors of x?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623106 (base 7) in base 13?\nAnswer: 7b18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 499308?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -5 + -6 + 55 + 79 + -6\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1238626*o*x**3 + o*x + 1030*o + 7*x**3 - 537*x wrt x?\nAnswer: -7431756*o*x + 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41624 + 38587. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -47*f**2 + 348*f - 114. What is p(6)?\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*u = 4*s + 14, -3*s - 2*u = -14. Solve 0 = j + s*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1963.324 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/((-65)\/10 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22226*s**2*x**3 - 56*s**2*x - 10*s*x**3 + 3268*s*x**2 - 2*s + 3*x**3 + x**2 wrt s?\nAnswer: 44452*x**3 - 112*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*r + 4*k - 8, 4*k = 3*r - 9. Let i be r\/(-3) - -8*5. Suppose 4*w - 97 = -3*x, i = x - w - w. Solve 0 = 5*c + x - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51000 (base 6) to base 10.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -367 + 367 - t**2. Suppose 3*a - 2 = 4. Let z(o) = -9*o**2 + 0*o**2 + o**a. Calculate d(z(p)).\nAnswer: -64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*l**3 - 53\/3*l**2 + 225*l + 243.\nAnswer: (l - 27)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**3 + 2*i**3 - 4*i**3)*(-2*i + 0 + 0) - 5 - 379*i**4 + 1 + 407*i**4 in the form h*i + q*i**4 + s + r*i**2 + b*i**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -1\/9*u**2 - 2\/9*u + 2\/9*u**3 + 0 + 1\/9*u**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*r + 48*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17.7? (a) -4\/3 (b) -369 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 28*a**5 + 202324*a**4 + 2597972*a**3 + 9320012*a**2 + 5885664*a - 1038672 = 0.\nAnswer: -7213, -6, -1, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 9*c. Let i(k) = -9*k + 3 - 3 - 1. What is the lowest common multiple of i(-1) and l(-7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 9*u**2 - 13*u - 4. Let p be a(7). Suppose -4*g + g - 2*t + 875 = 0, p*t = 3*g - 900. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -4*c - 2*b, 22*b - 21*b + 4 = 0. Put -5, 3, -3, c in descending order.\nAnswer: 3, -3, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176 - 179. Let g(o) = 4*o - 3. What is g(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2.1. Let v = -28.846 + -0.054. Let x = 29 + v. Which is the nearest to x? (a) 2\/5 (b) n (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -62505*j**2 - 375028*j + 13. Determine t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/480 and -131\/1760?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -48. Let y(b) be the first derivative of -9 - 3*b + 3*b + 4*b**w - 14*b. Differentiate y(z) with respect to z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 8*h**2 + 3*h + 0*h.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f. Let w be c(3). Let i(q) = -6 + 6 + w*q. Let v(u) = 2*u**2. Calculate v(i(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -72, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27979*v + 28966*v + 101661 for v.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, i: 2, k: 1, e: 1, t: 2, v: 1}. Give prob of picking 1 i and 1 e.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 1455.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 10)*1\/(-21). What is the smallest value in 0, r, 8\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -5, 1\/6, 1\/7 in increasing order.\nAnswer: -5, 1\/7, 1\/6, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 163186074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64? (a) -305 (b) -1\/7 (c) 5 (d) 4\/5 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*k**2 - 65*k**2 + 16*k**2 - 161*k**2 + 514 wrt k.\nAnswer: -384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4051977066906 take away 3?\nAnswer: 4051977066903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 2:46 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**2)**45)**(-44))**(-1\/38) assuming v is positive.\nAnswer: v**(2970\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -27 - 3\/14*g**6 + 0*g**3 + 0*g - 3\/28*g**4 + 0*g**2 - 12\/35*g**5. Factor k(t).\nAnswer: -3*t**3*(t + 1)*(3*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 55148*k + 55146.\nAnswer: 2*(k + 1)*(k + 27573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8574191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11621497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 not equal to 103568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -11, -6398?\nAnswer: -6398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -11010?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 2*z**2 + z**2 + (9*z**2 - 11*z**2 - 10*z**2)*(0 + 1 - 4))*(-2*z + 3*z - 4*z).\nAnswer: -111*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 23. Let b be k(18). Suppose 2*o - b*z = -0*z - 6, o + 3*z = 8. Solve -4*c + o*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -0.016.\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 - 10*b - 4. What is the least common multiple of 20 and v(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*t**2 - 40*t**2 + 2*t**3 - 29*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 631, 1, -1, 5.\nAnswer: -1, 1, 5, 631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - d + 32 = d, 0 = -d + 1. What is the closest to -2 in f, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a**2 + 3 - 11*a**2 + 5*a - 2. Suppose -3*y + 15 = 0, 0*w + 3*y = 3*w - 9. Let f be 42\/(-8) + 2\/w. Calculate d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 390 + -158. Let g = 232 - a. Solve g = 5*x - 0 + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1161.9 - -1156.9. Let q = 20 + -18.7. What is the fourth smallest value in q, 0.02, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**10\/(r**(1\/2)\/(r**5\/r)))**(-5) assuming r is positive.\nAnswer: r**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40384 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1435500 divided by 825\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003459946618 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d + 6e15?\nAnswer: 6dd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/3? (a) 0.5 (b) 2\/5 (c) 2 (d) -168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -2*c**3\/3 + c**2\/2 - 3*c - 35. Let t be y(3). Let g = t + 24. Sort g, -4, -6 in increasing order.\nAnswer: -6, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 84 = -p, 4*q = -4*p + 96 + 180. Suppose z - p = -2*t, 4*z + 36 = t - z. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f**0\/f))\/f)**(1\/43)\/(f**3*f\/f**(-3\/2)) assuming f is positive.\nAnswer: f**(-469\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.314 from -73.\nAnswer: -73.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9585885 microseconds to nanoseconds.\nAnswer: 958.5885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + (-2)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/19, -2, 6, 1\/3 in decreasing order.\nAnswer: 6, 9\/19, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 13. Let m = -4.01 + f. What is m rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 2:38 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -30, -65, -114?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-39) + 2713287\/624. Let k = -4350 + o. Find the common denominator of 17\/16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68629 and 636378?\nAnswer: 7000158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031 (base 11) in base 6?\nAnswer: -10153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 4 - 4)*(-65*i - 34982 + 34982)*(3 + 2 + 14*i - 7).\nAnswer: -1820*i**3 + 260*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 0 - (12 + -10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47785411606 - -0.17?\nAnswer: 47785411606.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -173*w**3\/3 + 7703. Let p(q) = -14*q. Determine p(z(l)).\nAnswer: 2422*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-33)\/(-4))\/((-19)\/((-185668)\/21)) is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*p + 2*y, 3*p - 17 = 5*y - 0. Let z be (-4 - -6)*(0 + p). Let m = z + 3. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 34 (b) 3 (c) 4 (d) -0.3 (e) 1 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -106*y + 102*y. Let v = y + -6. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 18, 3, 0, -5.\nAnswer: -5, 0, 3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 37196, -2\/7 in ascending order.\nAnswer: -10, -2, -2\/7, 37196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 738900 rounded to the nearest 10000?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -225, -459, -691, -921?\n\"Answer: y**2 - 237*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - sqrt(110)*2)\/sqrt(2))\/(sqrt(160)\/sqrt(2)) + -3 + 1 + sqrt(176)*-2.\nAnswer: -33*sqrt(11)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from {r: 1, y: 1, m: 1, h: 3, q: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.098 + -0.302. Let g be (126\/54)\/(10\/(-12)). Let j = -12\/5 - g. Which is the third smallest value? (a) j (b) k (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*d, -2*j + 1510 = d - 389. What are the prime factors of j?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16 = -4*y, -2 = -y - 5*j + 6. Suppose -y*o = x - 83, -o = -x - 6*o + 93. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 3, 1 in descending order.\nAnswer: 4, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**3*y**2 + 232*s**3*y - s**3 + 12*s**2*y - 69*s*y**2 wrt s.\nAnswer: -6*y**2 + 1392*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1827536764?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2 + 2)*(-w**4 - 3*w**4 + 3*w**4) - w**5 + w**5 - 4*w**5.\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/76*6*2\/(-6)*13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 201948 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -3, -5\/3 in decreasing order.\nAnswer: 15, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/9 and 79\/38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10298 (b) -2\/17 (c) 3\/2 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - (-3 + 7) - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1351 = 30*a - 179. Solve 0*m + a = 17*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2043*i - 2075*i = -632832. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5 - 252474*z**4 + 15935527688*z**3 + 31873075184*z**2 - 63742110768*z - 127488261152 = 0. What is z?\nAnswer: -2, 2, 126238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1528501 and -3?\nAnswer: 4585503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 5 - 18)*(-2*t**4 - 5*t**5 + 2*t**4).\nAnswer: -20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 768 + -225. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.2 (c) -870\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*a - 513 = -37*a - 455 - 1588 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 62, -2?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 189?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/231 and -4\/693.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 807*g - 2380. Determine w(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1247b + d?\nAnswer: -1246e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 181.269 + -0.269. Let i = 180.99999814 - z. Round i to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 350 - 72. Let a = n - 247. Calculate the remainder when 99 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*x - 69 = -65, d + 4*x = -6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000153536 rounded to seven dps?\nAnswer: 0.0001535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 12) to base 15\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**9\/(b*b**(2\/9)\/b)*(((b**(4\/13)*b*b)\/b)\/b)\/b**(-3\/16) assuming b is positive.\nAnswer: b**(17359\/1872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**6\/60 - i**5\/15 - i**4\/24 + 9*i**2. Let z be (-8)\/(-40) + (-48)\/(-10). Let j = -2 + z. Calculate f(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-50)*(-10)\/(-6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1469370383 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 69*i**2 + 38*i + 1705. Determine r(70).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 915 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4456348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -9. Let u = -43 - t. Let o = -7.3 - -7. Which is the second biggest value? (a) u (b) o (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.022\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 226 - 106. Calculate the greatest common divisor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*6*((sqrt(567) + sqrt(567) + 3 + 1*sqrt(567) + (sqrt(567) + 1 + sqrt(567))*1)*2)**2.\nAnswer: -2043504 - 51840*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17db0 + -115?\nAnswer: -180c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - -0.04. Let a = i + -0.2. What is the biggest value in -5, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24913462 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.970678 centuries?\nAnswer: 0.9970678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + 84. Let a be z(0). Let f = -96 + a. Let t be 35\/(-14)*-1*f\/(-15). Solve 2*m = -5*o + 10, o - 2*o = m - t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/12 + (-8)\/(-36). Which is the nearest to -1\/3? (a) 0 (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -15*z**3 + z**2. Calculate h(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 4*h - 5*l + 249, -5*l = -3*h - 130. Let i be (-2)\/7 - h\/35. Let b be (-2 - -2) + (-4)\/10. Which is greater: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2471*j - 2162*j**3 + 23*j**4 + 1074*j**3 + 1045*j**3 wrt j.\nAnswer: 276*j**2 - 258*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdk when three letters picked without replacement from {c: 7, d: 4, b: 2, k: 4, n: 3}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -865*q + 24207. What is x(28)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m - 3*f - 40 = 0, 4*m = 5*f + 202. Calculate the greatest common divisor of 87 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -3*c - 1, -5*c + 791*r = 795*r + 19 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 = 30. Let o be y\/(-28)*-7 + 30\/(-2). Let s(g) = -13*g - 2. What is the hundreds digit of s(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*u**3 + u**4 + 2*u - 37*u**3 - 15*u**2 + 0*u**4 + 0*u + 3 in the form k*u**2 + v*u + d*u**3 + l + r*u**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6815 - 6814.9. Sort -153, 0.4, f in ascending order.\nAnswer: -153, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q**3 + 207*q**2 - 37*q + 24. Give r(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*b - 4 = 0, -3*p + 2*b = -4*p - 5. Suppose w - 3*u - 4 = p, -3*w = u - 15. Suppose -18 - w = -m. Calculate the remainder when m is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1148*d**2 + 25*d - 5. Let n be z(2). Suppose -3*c - 4*u = -n, -3*c - c + 3*u = -6166. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 58. Suppose 2*x + 6 = 4. Calculate the remainder when m is divided by (-67)\/(-6) - x\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 21 - 642. Calculate the remainder when r is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**4\/h)\/h)\/h**(-3))**(2\/23) assuming h is positive.\nAnswer: h**(10\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-4 - 212\/8). Let j = a - -117. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204 - 194.53. Let w = 9.470000413 - i. Round w to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*55*7\/105?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**4 + 2*v**3 - 176*v**2 + 156*v + 14261 wrt v?\nAnswer: 36*v**2 + 12*v - 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let i(d) be the third derivative of 5*d**4\/6 + 69*d**2. Give i(a(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 73 = 71. Find the third derivative of 61*g**6 + 11 - 50*g**6 - 40*g**6 + m*g**2 + 16 wrt g.\nAnswer: -3480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = -2*h. Let s(w) be the first derivative of w**3\/3 + 3*w**2\/2 + 2*w - 1. What are the prime factors of s(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-4))\/(3\/(-2))*(-9)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130 + -63. Let w = -3498 + 3503. Put w, 0, z in decreasing order.\nAnswer: z, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1407.\nAnswer: -2\/1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-10 - (26 - 21))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595022 - 16*g + 73*g - 397*g + 595022.\nAnswer: -340*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*h**4 - 21*h**3 - 5502*h**2.\nAnswer: 1392*h - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -192*d**3*i**3 + 136*d**3 + d**2*i + 487*d*i**3 - 35*d wrt d?\nAnswer: -1152*i**3 + 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 333\/37 + 1 + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13)\/(g*g*g**(8\/5))*g**(2\/3)\/(g\/(g**(-7)*g)*g))\/((g**3)**(-6\/5))**(-2\/63) assuming g is positive.\nAnswer: g**(-3058\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/5 + 313509*q**3\/5 - 32763258021*q**2\/5 + 1141395454325519*q\/5 - 6847193316381006\/5 = 0 for q.\nAnswer: 6, 104501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -8. Let d = a + 37. Suppose -12 = d*g + 3*w - 58, 0 = g - 2*w - 17. Solve 5*x = 2 + g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2643 times -11\nAnswer: 29073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8109109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3209 is divided by 409.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -38 + (-4)\/(-1 + (-1 - -4)). Let s = v + 50. Suppose -s*u + 777 = -93. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 46 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5036*g**3 + 11*g - 11*g + 1146 - 1147 + 198*g**2 wrt g.\nAnswer: 30216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12053 is divided by 614?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1224 or 1223?\nAnswer: 1223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w - 12*w = -70. Solve n + 5*g = 7, -7 = 3*n + w*g - g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22e - 1236b8?\nAnswer: -1238e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/348 and 35\/24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 576\/108*147\/4. Is b greater than or equal to 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*w - 40*w = b + 10, 2*w = -5*b + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00059028508 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24715 + 227 + 1082 = 4*n. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 32280?\nAnswer: 32283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6. Let i(m) = 1. Let r(l) = c(l) - 5*i(l). Let j be ((-3 - -3)\/3)\/(-1). Let x(u) = -2*u - 1 + j*u + 0*u - 3. Determine -4*r(d) - x(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5*b = -10, -61*c + 62*c + 551*b - 15 = 547*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169599 is divided by 436?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 - 6*o. Let k(g) = -g**2 + g. Let s be k(3). Let n(z) = z. Determine s*n(b) - h(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 76049.\nAnswer: 152098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + 98. What is the hundreds digit of (465\/(-20))\/(-6*4\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - s - 81 = 0, -43 = -2*t + 10*s - 7*s. Suppose 15 = -t*y - 505. What is the second biggest value in -1, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12433 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/266 and 59\/418.\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 12:15 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.44 (b) -2\/7 (c) 0 (d) 2.6 (e) 1\/3 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962630 to the power of 1\/2, to the nearest integer?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*z + 1)*(-11 + 11 + 2*z)*(2*z**3 + 17*z**3 - 28*z**3 + (0*z + z - 2*z)*(0*z**2 + 5*z**2 - 4*z**2) - 6*z**3 + 2*z**3 + 3*z**3).\nAnswer: -66*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -98, -0.5, 5?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -754 + 754. Solve c = 2*g - 2*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0518 - -0.1018. Which is the smallest value? (a) p (b) -0.04 (c) -5 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26020310 to the power of 1\/2, to the nearest integer?\nAnswer: 5101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m - 24*m + 0*m - 1815*m**2.\nAnswer: -1815*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21620184 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, u: 2, l: 2, e: 1, d: 3, i: 4}. Give prob of sequence udeu.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 2)*(-7 + 2). Suppose 1 = b - 4, -3*g + 5*b - 19 = 0. Suppose -o*j = -g*j + 3. Which is smaller: j or -4\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 + 229. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2445*k**2 + 316925*k + 314480 = 0.\nAnswer: -62896\/489, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o**2. Let r(j) = -5*j**2 + 4. Let m(s) = s**2 - 1. Let x(d) = -4*m(d) - r(d). Calculate x(w(b)).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44437315 and 0.03?\nAnswer: 44437315.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10)**(7\/5) assuming y is positive.\nAnswer: y**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13*p + 11. Let r be q(-3). Let l = r + 32. Solve 2*f + 6 = 7*f - l*x, -3*x + 7 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258834786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5\/4 - 29*k**4\/2 - 172*k**3 - 832*k**2 - 1792*k - 1408 = 0 for k.\nAnswer: -44, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 35. Let k(m) = -d*m + 5*m + 11*m + 8*m. Let c(s) = s**2. Give k(c(t)).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*a*g**3 + 61*a*g**2 - 4*g**3 wrt g.\nAnswer: 54*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = 4. Let c = w - -52. Factor 1 - 5 - c*r**3 - 72*r**2 + 45*r + 0 - 2.\nAnswer: -3*(r + 2)*(4*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i - 34. Let y(s) = 3*s - 17. Give 3*t(r) - 5*y(r).\nAnswer: -3*r - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 346439433 rounded to the nearest one hundred thousand?\nAnswer: 346400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19029.\nAnswer: 3, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by 1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -846 + 198 = -3*h. Let b = h - -157. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from {z: 5, i: 1, b: 3, j: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, -6, -17, -22, -15, 10, 59?\n\"Answer: f**3 - 6*f**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 2.2, -20.5508 in ascending order.\nAnswer: -20.5508, -0.04, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -179, -138, -25, 148, 369, 626?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -113113031?\nAnswer: 113113100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**7\/14 + 557*l**6\/30 + l**4\/6 - 19*l**3\/2 - l**2\/2 - 1603*l + 2. Find the second derivative of r(u) wrt u.\nAnswer: -60*u**3 + 6684*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 9. Let x = 4 - m. Solve -x*g = -g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.97 + -0.03. What is the biggest value in 4, k, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -96*x - 862. Let g be z(-9). Sort -29, -4, g, 0, 24 in decreasing order.\nAnswer: 24, g, 0, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 377417107 + -2?\nAnswer: 377417105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -888 - -892. Which is the closest to 0? (a) w (b) 6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*x + 2, 0 = -2*x - p + 3*p. Let s = -80 - -82. Calculate the remainder when 7 is divided by -5*x*(-3 + s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sakakkaoaaooaaaakaak. Give prob of picking 1 s and 2 a.\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 152 + 182 + n + n**2. Give d(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*17\/((-1105)\/104)*4.\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 213, 109, -1, 67 in increasing order.\nAnswer: -5, -1, 1, 67, 109, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 353*h**2 - 77 + 122*h**2.\nAnswer: -231*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -204.032 - -200. Let h = 9 - 13. Let g = a - h. What is g rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*n - 60 = 0, 0 = 5*t + 5*n - 33 - 32. Suppose -f - 3*k = -2*f + 22, 0 = -4*k - t. Calculate the smallest common multiple of f and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Suppose g = -3*l + 2*l + 2*t + 6, 3*t = -4*l + 24. Suppose 3*f = l - 3, -4*o - 3*f = -51. Solve 0 = -5*r - 3*a - 1, -4*r + 2*a = 2 + o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -1\/4769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 17 + (-23 - (-34 - -13)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.189 - -1694.311. Round m to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -272b (base 16) to base 8\nAnswer: -23453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**6\/120 + 7*u**5\/30 + 13*u**4\/24 + u**3\/2 - 7*u**2. Is g(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k + 50 = 0. Let i = k - 21. Solve z + 3 = i*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-65)*4\/(-16).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -a + 6*a. Does 12 divide 5216\/a + 2\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = -4*n - 11077*s + 11080*s, 2*s = -2*n - 152 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2. Let w = -73 - -77. Let h(j) = -7 - 10*j + w*j + 7*j + 3. Calculate -2*h(v) - 5*r(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-220) + 2210\/572?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1189 = -21*c - 1378 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/81*9*(-1)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1188.968 - -1194. Let n = f - 10.169. What is n rounded to one decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1638275*z**2 - 1298771 wrt z?\nAnswer: -3276550*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15)*(-140)\/196?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2756447, 2756430, 2756413?\nAnswer: 2756396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 83*p - 2 + 13 + 64*p + 2.\nAnswer: 147*p + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 4:35 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 205 + -167 - (0 + (16 - 3)). Suppose 2*i - 4*y - 4 = -2, 0 = -4*y + 8. Let m be (-96)\/(-10) - (-4)\/10. Solve -m*a = -i*a - n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-2))**21\/(((l\/l**(2\/5))\/l)\/l*l)**(-10\/3) assuming l is positive.\nAnswer: l**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Suppose -28 = r - 3*o - 322, -2*r = -f*o - 592. Calculate the highest common divisor of r and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-116)\/18 + (-12)\/(-27). Sort -9, 5, i in decreasing order.\nAnswer: 5, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zodqpqjojjqpjqq. What is prob of picking 1 q and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, -1\/3, -0.9 in increasing order.\nAnswer: -0.9, -1\/3, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 6*r - 8. Let a be p(8). Suppose 2*n = -y, -2*y + 7*y = 0. Suppose -w = -n*w - a. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0164 * 0.77614\nAnswer: 0.012728696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + 2*sqrt(396) + -5 - ((1 + sqrt(396) + sqrt(396) - sqrt(396)) + -1)*3)**2.\nAnswer: 84*sqrt(11) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16608102 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1037*j + 218802. Give t(211).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*b - 45 = 0, 23 = 2*k + b - 2. Find the common denominator of (-19)\/k*(-15)\/5 and -5\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2151 + 2192. Solve -31*c + 227 = w for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from maazmmm. What is prob of sequence mzma?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138)\/33 - -13) + -9.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.036 - -28. Let h = z - -0.336. Put -4, 2, h in descending order.\nAnswer: 2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -200*a**2 + 5*a - 4. What is d(1)?\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2388 - -2559. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) 53 (c) -2 (d) -61 (e) 1\/34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = -2*l + 2, 5*p + 5 = 0. Let g be 2*(-6)\/(-4) + l\/3. List the prime factors of (12\/16 - 1)*(-1788)\/g.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 77759533\nAnswer: -77759533.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7024*2\nAnswer: -14048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1634\/9 + -1631\/9. Put -0.1, 16\/3, j, 1\/2 in decreasing order.\nAnswer: 16\/3, 1\/2, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7199911313 to the nearest integer?\nAnswer: 1931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 703630 and -0.32?\nAnswer: -225161.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11638 or 10929?\nAnswer: 11638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 0.009682.\nAnswer: -0.00038728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 + -3. Let t = -5.2 + d. Let o = -712.1 + 714.1. Which is the closest to 0? (a) o (b) t (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4626 and 11807?\nAnswer: -54619182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4 less than -86?\nAnswer: -78.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -15 - 13 - (-19 + 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*f + 15 = -2*t, 4*t + 5*f - 20 = 0. Calculate the remainder when 16 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*g - 99*g - 196. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 24 = 12. Let t be ((-4)\/(-3))\/(3*n\/27). Let c(v) = -40 - 10*v**t + 40. Let g(p) = -3*p**2. Determine c(g(m)).\nAnswer: -90*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxvjvxxvvxj. Give prob of picking 4 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 + c - 7*c + 6*c. Let u(m) be the first derivative of -1 + 0*m + 1\/2*m**2. Give s(u(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250494359 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 7:19 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835554377.\nAnswer: 3, 97, 521, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.45644 years to decades.\nAnswer: 7.645644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 362 = 2*p, -5*p - 3*h - 741 = 185. Let a = p - -210. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/7 + 399829\/551145 and 43\/29.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nineteen quarters of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = -5*r, -z + 5*r = -4*z + 62. Let h be (-7)\/(z\/(-24)) + -7. Solve -2*p + 30 = h*m, -4*m + p = -3*p + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17473*u**2. Let n(a) = -a**2. Give n(o(m)).\nAnswer: -305305729*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 15744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.224164s in nanoseconds?\nAnswer: 3224164000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b. Give n(-16).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1544*a**2 - 6*a + 30. Let y(g) = 4*g**2 - g + 6. Determine x(d) - 5*y(d).\nAnswer: 1524*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 minutes after 5:23 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1233*m*v - 195*v + 5 wrt m?\nAnswer: 1233*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 205*q**2 - 3*q + 10. Let x be t(-3). Let h = -1200 + x. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 608, 5, 2, 0 in ascending order.\nAnswer: 0, 2, 3, 5, 608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30785*a**2*k**3 - 3*a*k**3 - a*k**2 + k**2 - 291*k wrt a?\nAnswer: -61570*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.7 (c) 1\/5 (d) 3 (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a century in decades?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6\/8335?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - h + 7. Let i be r(-7). Let f = i - 66. Calculate the common denominator of f\/(120\/(-34)) + -3 + 0 and -9\/86.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7642400 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 = -7*t - 157 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1 + 0 - 2*s - 7 + 11. Let j be q(0). Find the second derivative of -21 + 16*d**j + 38 - 18*d - 17 wrt d.\nAnswer: 320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-364)*7\/6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/450*-15 - (-523)\/3. Solve -26*n + h = 71 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4114 - -0.38. Round v to 3 decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 12:24 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2\/6 - 761*r\/6 - 7771 = 0.\nAnswer: -57, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005009 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 - 4*h**3 - 2*h**3 + (0*h + 0*h + h**2)*(0 - 4*h + 0) - 308*h**2 + 308*h**2 - 17*h**3.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**2\/4 - 225*g\/2 + 1050 = 0.\nAnswer: 10, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let b(t) = -2*t. Let w be b(3). Let x(s) = s**2 + 8*s + 8. Let f be x(w). What are the prime factors of q(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140 + -91. Let d(x) = -x**2 - 8*x - 28. Let n be d(0). Let s = z + n. Solve 5*r + s = 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - u + 1. Let n(o) = 9*o**2 + 4*o - 4. Let r(q) = -4*k(q) - n(q). Let b(t) = t**3 - 5*t**2 + t. Give b(x) - 5*r(x).\nAnswer: x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 573*l**3*q**2 + 3*l**2*q + l*q**2 wrt l?\nAnswer: 3438*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -67, -136, -205, -274?\n\"Answer: -69*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-567 - 517 - 1075)*(-2 + 3 - 3)*(4*c - 3*c - 1 + 3) as t + a*c and give a.\nAnswer: 4318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -13. Solve 0 = f*x + 3*a - 4*a - 9, 12 = 3*x - 2*a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.156 or -460?\nAnswer: -460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 at most as big as 2581\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67550 - -6687364\/99. Let h = -14\/33 - f. Is -2 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 27. Let o = 605\/156 + -122\/39. What is the second biggest value in -5, o, -1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/7, 3, 1\/3, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 3*o + 4. Suppose -2*k = -0*q - 5*q - 4, -3*q = 2*k + 12. Let u be r(k). Suppose u*b - 6*b = -42. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 1)*(-b + 4 - 4) - 2*b + 0*b + 3*b + (4 - 2 + 0)*(-5*b + 5*b + b) - 4 + 4 + 3*b.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2\/(-3))\/((-48)\/(-36))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -16*k**2. Let q(d) = -11*d + 1. Let y(o) = 224*o - 24. Let m(t) = -20*q(t) - y(t). What is v(m(r))?\nAnswer: -256*r**2 + 512*r - 256","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Product of 284.467 and 46.\nAnswer: 13085.482","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 26*r - 189 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -4, 27 in decreasing order.\nAnswer: 27, 7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -19139\nAnswer: 5\/19139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252021?\nAnswer: 1252021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 + -29321694\nAnswer: -29321694.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -39889 and 3?\nAnswer: 39892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -257 - -414. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/14*(-4)\/6. Let r(i) = 2*i + 2. Let f be r(5). Let z = -8292 + 8294. Put f, z, -2, x in increasing order.\nAnswer: -2, x, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.85941295 to 3 dps.\nAnswer: -0.859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 + 217*b**2 - 73*b + 78. Let n be s(72). Let m be (2\/(-4))\/((-3)\/12). Let q(o) = 3*o + 6 - 3 - m*o. Determine q(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -18*h + 111, m - 18 = -3*h + 12 + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 bigger than -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-33)\/(s\/s**(1\/3)) assuming s is positive.\nAnswer: s**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 76441.9 to the nearest one hundred.\nAnswer: 76400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 15. Let s(p) = 5*p - 133. Let f be s(26). Let r(a) = -a + 16. Calculate f*l(w) + 2*r(w).\nAnswer: -2*w - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9*b = -14. Calculate the greatest common divisor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2105?\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 41851213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31086079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28119\/137 or -206?\nAnswer: -206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2156 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2495, -28, 17 in decreasing order.\nAnswer: 17, -28, -2495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 31*b**3 + 2*b**2 - 5*b. Let x(g) be the second derivative of -47*g**5\/20 - g**4\/4 + 4*g**3\/3 - 93*g + 2. Determine -8*h(d) - 5*x(d).\nAnswer: -13*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.091759 + -2634616205.\nAnswer: -2634616204.908241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6120 = 1173*b - 1161*b. What is the smallest common multiple of 15 and b?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107459, -214293, -321139, -428003, -534891?\nAnswer: -641809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -369, -2\/251517, -4, 3 in decreasing order.\nAnswer: 3, -2\/251517, -4, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 714 - -184?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.14371 take away 2457?\nAnswer: -2340.85629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**4\/12 - 4*l**3\/3 - 2*l**2 + 4*l + 34. Let u(j) be the first derivative of h(j). Give u(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v - 2. Let f(t) be the second derivative of 17*t**3\/3 + 5*t**2\/2 - 6*t. Let s(z) = -6*f(z) - 17*w(z). Is 24 a factor of s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*a + 659934 = -6*a. What is the greatest common divisor of 1111 and a?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*b**3*p**4 - 6548*b**3*p**2 + 100937*b**3*p + 5*b*p wrt p?\nAnswer: -1044*b**3*p**2 - 13096*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 + -18 + 22 - 23).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -5, 521, 3, 0.2, 4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 312*-0.2\nAnswer: -62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4)*(7 + 5 - 16)*(0 - 2 - 4)*((-r + 0*r - r)*(-5 + 4 + 2) + r - 5*r + 3*r + r - 2*r + 0*r + r - 4*r + r).\nAnswer: 432*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsh when three letters picked without replacement from {d: 2, z: 1, h: 1, n: 2, i: 1, s: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - 6*j)*(-2*j - 3*j + 3*j + 3*j - j - 3*j + j + 0*j - 2*j + (1 - 3 + 0)*(j - 3*j + 4*j) + 0 - 2*j + 0).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.06, 2006, -19 in decreasing order.\nAnswer: 2006, 0.06, -15, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-4 - (0 + -7))) + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 4*h + h)*(6 + h - 9 + 1).\nAnswer: -6*h**2 + 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15470531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (3 + 8 + -10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 + 29690.\nAnswer: 29689.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0.4. Let t = g + -1.24. Let b = t + -0.1599935. Round b to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/42 - 2 - -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/3, 0.0606, 3299?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1967.0523 - 2\nAnswer: -1969.0523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3529554 divided by 13269.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3\/5*t**5 + 54\/5 + 63\/5*t - 12*t**3 - 24\/5*t**4 - 6*t**2 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*w - p + 50, -2*p - 9 = -w. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) 0 (b) 0.5 (c) -1\/8 (d) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.89 + -0.89. What is the nearest to -1 in v, 1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*o**2 - 944*o**4 + 9*o**2 + 2858*o**4 - 1733*o - 28*o**2 wrt o?\nAnswer: 22968*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -5*i**9\/252 + i**5\/15 + 2*i**2. What is the third derivative of u(b) wrt b?\nAnswer: -1200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -758, -9206, -33030, -79916, -157550, -273618, -435806, -651800?\nAnswer: -929286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526570119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c - 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158538 or -792694\/5?\nAnswer: -792694\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -26*z + 22*z + 4106, 3*v + 5139 = 5*z. What is the remainder when z is divided by 287?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/((-6)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6500*c**3 + 8*c**2 - 10*c + 38. Let r be l(-7). Suppose d = 6*d + r. Round d to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 11 = x - 14, -4*h = x + 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.325035369 rounded to three dps?\nAnswer: -0.325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 13) in base 6?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z = 14*z + 46767. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170 - -170. Let t(p) = -27*p + 6. Let n be t(0). Solve 3*m - n = -z*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021 is divided by 321?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:03 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/15)\/(63\/65 - 1). Suppose -22*a - 8 = -y*a. Suppose 4 = a*g - 4*f, 0*f = -g + 4*f + 4. Solve 0 = i - 3 - g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, -158 in descending order.\nAnswer: 3, 1, -4, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -0.5.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - z + 0*z**3 - 8*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 42*f**2 + 312*f. Calculate a(-7).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 452483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -22. Suppose -i + 6*i - 10 = t. Solve i*k = -2*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 921 - 222. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 101001010110011100101?\nAnswer: 101001010110011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 9 - -6) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1070113 - 3?\nAnswer: -1070116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 c, and 1 s when four letters picked without replacement from {c: 3, d: 2, m: 1, q: 1, s: 5, v: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*-38.4029\nAnswer: -76.8058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 992555 + -470832. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1780.11 - -1780. Let q be -2 - (-2 - 1\/2). What is the closest to q in 1, 3\/8, c?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 183?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2\/41, -3 in decreasing order.\nAnswer: -2\/41, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*o**4 - 2*o**3 - 2*o**2 - 6119*o?\nAnswer: 396*o**2 - 12*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119483 is divided by 59699.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100001010011011110 + 1?\nAnswer: 1101100001010011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 0.9587?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 4. Let n = 1 + -4. Let y be q(n). Let r = -0.2 + 0.1. What is the closest to r in -3, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 2:15 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371322364 to the power of 1\/4, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**7\/210 + m**6\/30 + m**5\/20 - 5*m**4\/12 - 4*m**3\/3 - 11*m**2. Factor w(k).\nAnswer: -(k - 4)*(k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 m, and 1 s when three letters picked without replacement from msgmmsbgss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6417.168 to the nearest ten.\nAnswer: -6420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/60 + o**4\/3 - o**3\/2 - o**2. Let k be q(-8). Let t = k + 4. Is 1\/3 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215, -233, -229, -203, -155, -85?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 2*y**2 - 3*y + 1. Let b be 1\/(3 + 10\/(-4) + 0). Calculate w(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 683 + -682.79. Let x be 4 + -5 + 11\/1. Let m(l) = l**3 - 10*l**2 - l + 7. Let t be m(x). What is the second smallest value in t, -5, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1533577 or 1?\nAnswer: -1\/1533577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)*w*w\/(w**(-12)*w))**(-2\/39)*(w**4\/(w*w**(-5)*w*w))**(-11) assuming w is positive.\nAnswer: w**(-2588\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1047519204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 62580 to the nearest 1000.\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73678, 73679, 73682, 73687, 73694?\n\"Answer: w**2 - 2*w + 73679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttzz. What is prob of sequence ttzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 - o**2 + (2 + 1 - 2)*(0*o + 0*o - 2*o**2) + 0*o**2 + o**2 + 0*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2703505 and 1330?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*u + 5*l, -2*u - 39 + 44 = 3*l. Which is smaller: -2\/965 or u?\nAnswer: -2\/965","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*m - 51, 5*z + m = 9*z - 46. Suppose h = -2*h + 3. What is the highest common factor of z and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (342720\/884)\/(-70)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 2327499.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 18*g = -380. Suppose -8*z = -g + 22. Let r be 2\/6 + (-22)\/(-6). Is r smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5967317074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 + 9*x - 4. Let v(g) = g**2 - 1. Determine -i(z) + 5*v(z).\nAnswer: 2*z**2 - 9*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-18)*-6 - -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 744 + -341. Let p = c - -247. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 1415*h**3 + 301*h**3 + 303*h**3.\nAnswer: 2019*h**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 2*d**2 + 15*d - 3. What is the tens digit of s(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1409914 rounded to four decimal places?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1112102 (base 3) to base 5\nAnswer: -13433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65023.51s to microseconds.\nAnswer: 65023510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -12*v - 669. Let w(r) = -19*r - 666. Calculate 3*b(x) - 2*w(x).\nAnswer: 2*x - 675","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 114*z**2 + 751*z + 557. Give q(-107).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 348775\/601 < 581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.21 - -0.11. What is the third biggest value in 3, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 72. Suppose -4*r + h = -292, 2*r - 29 = s*h + 135. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86064 by 11.\nAnswer: -7824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 296 - 38 = o, 2*s + 2 = 0. Suppose -19*k - o = -32*k. What is the remainder when 34 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (0 + -3 + 30 + -25 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 21 = -5*q + 5*h, 3*q + 3*h = -48. Let j be (-36)\/q + 55*28. Suppose -2*a + 20 = 2*y - 598, -5*y + j = 4*a. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l**2 + l - 2. Let j = 228 + -575. Let z = 385 + j. Calculate the remainder when z is divided by d(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*u + 71*u + 125 = -11. Solve 2*l - n + u = 0, 6*n - 5*n = 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62356474415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39432 is divided by 2797?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -11019460 at most -11019464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 976 and 16.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 8*l - 8. Let j be n(-2). Suppose -3*k + 24 = -30. Let f = -10 + k. Solve 4*p - f - j = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 2*q - 28 = -4*i, 0 = 4*i - 4*q + 28. Let s(a) = a**3 + 8*a**2 + 5*a + 3. What are the prime factors of s(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44215 + 421?\nAnswer: 45040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122 is divided by 274?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. Let g be l - 2\/(2\/3). Let m be (g + 0)*(-2)\/4. Sort -5, -1, m.\nAnswer: -5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Suppose -x*y + 0*y + 8 = 0. What is the smallest common multiple of y and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 365*w**4 + 7*w**3 - 4*w**2 + 15*w + 102 wrt w.\nAnswer: 8760*w + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (390\/(-1820))\/(2\/((-16)\/6)). What is the nearest to 30 in -0.3, -1\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(-3*s + 3*s + 7*s)*(-3*s - s + s).\nAnswer: -63*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (3 - (-11 + 7 + 8 + -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6171 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + 2 - (-1 + 13)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**5*s**3 + 443*m**5*s**2 - 298*m*s**2 + 2*s**3 wrt m.\nAnswer: -20*m**3*s**3 + 8860*m**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(28) + sqrt(7) + (-1*sqrt(35))\/sqrt(5))*-2)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/(-6))\/(4\/54). Suppose -10*f + r = -7*f. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 1:45 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8406189 divided by -934021?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n**2 + 7*n + 22. Let j be f(-3). Let p = j - -58. Which is the closest to -1\/4? (a) 2 (b) 1\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11872\/20)\/(-8) - 14*14\/245\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214156*a**2 + 2*a**3 + a**3 - a**3 + 758512*a**2.\nAnswer: 2*a**3 + 972668*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -53405050 (base 6) to base 14\nAnswer: -2ccb9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -k + 5*k - z, -3*k = z - 17. Calculate the least common multiple of 16 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/9 - -3) + 9\/(-27). Suppose 4*m = 5*b - 41, -2*b - 3*m + 0 - v = 0. What is the lowest common multiple of 1 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 5.\nAnswer: -5*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3344 (base 6) to base 7.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15 in 0, 0.2, 1, 6, -0.158?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (17 + -23 + -7 - 10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(700)*2*-2)\/((sqrt(176)\/sqrt(4))\/sqrt(11)*-2).\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771 = k - 4*g - 837, 0 = 2*k + 3*g - 3161. Does 34 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1525, -1491, -1435, -1357?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23658642 rounded to the nearest one hundred thousand?\nAnswer: 23700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/14596 and -139\/87576.\nAnswer: 87576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 95, 173, 261, 359?\n\"Answer: 5*i**2 + 63*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 1, o: 1, g: 2, v: 2}. What is prob of sequence xw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 + 18 = 12*w. Solve w = -3*t + 3*r - 5, -5*r + 13 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31026 + -67161. Is (z\/(-20))\/11*(-16)\/(-6) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**2 - 4. Let q(u) = 7*u**2 - 3. Let m be (-3)\/(3*1\/2). Determine m*p(y) + 3*q(y).\nAnswer: 9*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = n + 2500, 7555 = 10*n - 13*n - 4*i. Let b = -1558 - n. List the prime factors of b.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*w = 166*w - 473*w + 2684 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-400) - ((-9)\/(-4) + -2). Let v = 3 + -2. Sort v, y, 0 in decreasing order.\nAnswer: v, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -2*y**5\/15 - 7*y**4\/4 - 5*y**3\/3 + y**2 - 4. Let j(k) be the second derivative of w(k). Find t such that j(t) = 0.\nAnswer: -5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 51 = -3*k + 274, -k + 3*v = -78. What is the greatest common factor of 125 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 7. Let f(d) = -d + 1. Let o(p) = 4. Let v(k) = 2*f(k) + o(k). Determine -5*i(x) - 6*v(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((-25)\/(-5)) + 3. Suppose -x + 12 = -i*x. List the prime factors of (14\/x)\/(7\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*d**3 - 6 + 7*d**3 - 9*d**3 - 13*d**2 in the form b*d**2 + l*d**3 + j + y*d and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14268768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25466 + -25463. Sort -4, x, 12, -2 in descending order.\nAnswer: 12, x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 13*p**2 - 14*p + 26. Let h be a(-13). Find the second derivative of -47*q**2 - h*q + 2353*q + 9*q**2 wrt q.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 418578, 418582, 418582, 418572, 418546, 418498, 418422?\n\"Answer: -b**3 + 4*b**2 - b + 418576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20468 + -727. Suppose n = 73*b - 54*b. List the prime factors of b.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.63698 to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.023 - -0.477. What is the third smallest value in -5, p, -1\/7, -1\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416508675 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4911 - -4907) + (4 + (-2 - 4) - -37).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (91 - 27 - 45) + 30?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -12*m + 182 - 82. Which is the closest to -2\/15? (a) 2 (b) m (c) -3\/38 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3\/5 + 2270872*k**2\/5 + 644609725914*k\/5 + 1289210368356\/5 = 0.\nAnswer: -567717, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*3*98\/(-2940)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.64, 48, 0.4 in ascending order.\nAnswer: -0.64, 0.4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 12. Let q(z) = -d*z + 2*z + z. Let b(h) = -h**2 - 3*h - 1. Give 2*b(k) + 6*q(k).\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**2 - 11*c. Let h be n(7). Suppose -166 = -4*g - 3*t, 0 = -g - 4*g + t + h. Calculate the remainder when g is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 43. Let y(x) = -x**3 - 3*x**2 + 6*x + 9. Let h be y(-6). Calculate the highest common factor of h and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 21*j - 19. Let z(t) = -t**2 + 3*t - 12. Let o be z(4). Let g be l(o). Let p = 59 + g. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, v: 5}. What is prob of sequence wvw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 11986.6563 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 562.7 + -563. Let r be ((-8)\/(-6))\/(50\/15). Sort r, 4\/9, y, -1 in ascending order.\nAnswer: -1, y, r, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 16 = 8*y, 44*y - 47*y = 3*b - 3. Solve 3*s - 1 + 6 = -2*c, -4*s = b*c + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180086.382ms in weeks?\nAnswer: 0.000297761875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 - -0.09. Let s = 1.96 - y. Suppose 3*k + 5*z = -13, -3*k + 2*z + z = -27. What is the third biggest value in s, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979840351.\nAnswer: 7, 827, 169259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**4 - 519845*v**3 + 18028553400*v**2 - 208997164509120*v + 15160920934648320 = 0.\nAnswer: 73, 34632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -18\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 213, 233, 271, 333, 425, 553?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*a*i**2*k + a*i**2 - 278*a*i + 3*a - 51*i**2*k + 2*i**2 + 2*i*k + 2*i wrt i?\nAnswer: 106*a*k + 2*a - 102*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**3 + s**2 - 8*s + 2. Let j be h(4). Let b = j + 333. Put 5, b, -5 in increasing order.\nAnswer: -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdddejddb. Give prob of picking 1 b and 1 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.53 - 0.03. Put m, 2, -4 in decreasing order.\nAnswer: 2, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t - t - t)*(380*t + 1048*t - 20*t) to v*t + l*t**2 + a and give l.\nAnswer: 2816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61391, 122766, 184131, 245510, 306927, 368406, 429971, 491646?\nAnswer: 553455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-24) - (-7)\/(-2)*9\/(-6). Solve -5*j = d*c + 1 + 4, -2*c + 2 = j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 19 = 89. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84572.75 millilitres in litres?\nAnswer: 84.57275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:39 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 14*m - 19478. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1369 = -37*b + 1369 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -7*t**3\/4 + 243*t**2\/8 - 165*t\/2 + 1978. Solve d(a) = 0.\nAnswer: 11\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*z**3 - 2 + 2 - 77218*z + 154435*z - 77217*z.\nAnswer: 101*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72916 - 194*v**3 - 72916)*(5*v - 2*v + 0*v).\nAnswer: -582*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 79?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f**5 - 672*f**4 - 6888*f**3 - 17022*f**2 + 11361*f + 13230 = 0. What is f?\nAnswer: -63, -7, -5, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 438 + 4825 = 3*y, -3*r = -4*y + 5888. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 999408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337992 is divided by 185?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -13) + 19 - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174*v**6 - 333*v**2.\nAnswer: -20880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 105 = -5*m - 130, 0 = 4*b + 4*m - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21714131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*m - 6, -11 + 3 = -4*w + 3*m. Suppose w*f + 4*k = -10, 4*k = 2*f + 2*f - 28. What is the first derivative of f + 2*a**2 - 3 - 2 wrt a?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4605*q - 134902 + 16707 - 140483 = -42243 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6388 = -6338. Solve 6*g - 7 = c + 4*g, 3*c + i = -5*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 5:46 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/7*-1)\/(42234\/689822*(-7)\/(-45))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 14, -1\/9, 4, 8.1, 1\/4 in decreasing order.\nAnswer: 14, 8.1, 4, 1\/4, -1\/9, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 7)\/((2\/(-12) - -2) + -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.017 in -0.3, -1\/8, -0.5, 0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 p when four letters picked without replacement from kuduudduaudapddd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 156053237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 3\/2*y**2 + 0 + 7*y + 3\/4*y**3 + 1\/8*y**4. Determine c, given that t(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-3)*(-24)\/(-8)*1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 + 3)*(1063 - 1063 + 11*i**2).\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 32 + 33 - 16*y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = 5*j - 208, -3*j = 15. Is 43 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 761 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86442 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 408*n + 31*n + 185*n in the form v*n + o and give v.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822160303?\nAnswer: 653, 1259051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141153691.\nAnswer: 7, 23, 876731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3359 - 1802 - 1920)*(-2 - 3 + 6)*(0 + 5 - 2)*(3*l**2 - 5*l**2 - 3 + 4) to the form r*l**2 + p + k*l and give p.\nAnswer: -1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 223740 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (5 - 2) - -4. Solve 0 = p*l - 4*k + 5, l = 2*k - 0*k - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6684\/7 - -952. What is the common denominator of (-2489)\/(-38) + -30 - (-1 - 1*-3) and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 1\/7 (c) -6\/5 (d) 5 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223 (base 6) in base 13?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(38)\/sqrt(50) - (1 + sqrt(19)*3)*-5)**2*6.\nAnswer: 658464\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 4, a: 4, s: 1}. What is prob of sequence ds?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2567, 4832, 7101, 9374, 11651, 13932, 16217?\n\"Answer: 2*q**2 + 2259*q + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1951 - 1948. Let k(r) be the second derivative of -8*r + 0*r**2 + 0*r**4 - 7\/3*r**i + 0*r**5 + 0 + 7\/30*r**6. Find the second derivative of k(v) wrt v.\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2. Let f(s) = 12*s**2. Let r(g) = -25*g**2. Suppose -10 = 3*t - 3*n + 7*n, -5*n - 18 = t. Let p(c) = t*r(c) + 5*f(c). Determine i(p(d)).\nAnswer: -200*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 119\/(2015\/2400 - (-15)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40.2 - -35. Let p = -5.200037 - x. What is p rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 61*d**3 - d**2. Let a be t(1). Let u = -30 + a. Suppose -48 = -185*r + 181*r. What is the remainder when u is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 268 + -179. Let p = m - 977\/11. What is the third smallest value in -1, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + 86*c**2 + 116*c - 144. Is y(-35) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/3261 and (40\/100)\/((-162)\/(-225))?\nAnswer: 9783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 590 and 12671194?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*1 + -10 + 1 + 16. Is (-916)\/(-1) - (-7 + p - -3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by -7 - ((-6 - (-7 - -89)) + 8).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddqd when four letters picked without replacement from dqdd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -21.8, 30920?\nAnswer: -21.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = 14 + 16. Let p be -2 + (-76)\/(-16) + i\/(-12). Find the second derivative of -3*w**2 - 107 + p*w + 107 - 36*w wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 2:41 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-4)*x*x*x*(x*x**1)\/x assuming x is positive.\nAnswer: x**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409, 384, 341, 280?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32528270 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j + 3*j + j + 7 to t + m*j and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 + 8*y**3 + 10*y - 2*y**3 + 49*y**2 + 3*y**3.\nAnswer: 6*y**3 + 49*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -7*m**4\/24 - 867*m**2. Let l(d) = -5*d. Calculate c(l(j)).\nAnswer: 35*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0*p**4 + 0*p - 77\/6*p**3 + 0 + 87*p**2 - 11\/10*p**5. What is the derivative of i(n) wrt n?\nAnswer: -132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3829086 and 1026.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lql when three letters picked without replacement from {f: 3, k: 1, p: 5, l: 2, q: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210398 is divided by 1651?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17\/4 - ((-15)\/(-12) - 1). Let a(q) = -5*q - 5. Let n(u) = -4*u - 4. Let f(b) = k*n(b) - 3*a(b). Let i be f(-1). Is i < 1\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2 = 5, -2*u = -4*c - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**5\/10 + 4*o**4 + 28*o**3 + o**2\/2 - 37*o. Find the second derivative of m(u) wrt u.\nAnswer: 12*u + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57)\/21 + 3 - 696\/(-14). Suppose 53*u = o*u + 795. List the prime factors of u.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 2 + 2)*((-1 + 1 - o)*(7 - 7 - 4*o) + o**2 + 2*o**2 - o**2) to g + v*o**2 + w*o**3 + p*o and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 461 = -2*m, 75*u - m = 71*u + 387. What is the highest common factor of 2717 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175836 and 42.\nAnswer: 1230852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 377568 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from avaaaaavaaaaav.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*a - 15, -23 = -2*h + 5*a - 8. Suppose 0 = h*k + 621 - 1666. What are the prime factors of k?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1091*h**3 - 10*h**2 + 1344. Let z(u) = 547*u**3 - 4*u**2 + 672. Let q(k) = 2*y(k) - 5*z(k). Differentiate q(v) wrt v.\nAnswer: -1659*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 449096, 898302, 1347624, 1797062, 2246616?\n\"Answer: 58*t**2 + 449032*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**5 + 304*a**4 - 5828*a**3 + 5520*a**2 = 0. What is a?\nAnswer: -92, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -30717630.7 to the nearest 1000.\nAnswer: -30718000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2528 + 2535 + 1 + 31\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 1 + 2 + 2.\nAnswer: sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*z - 23 = 6*z + 5, 0 = -2*l - 12*z - 140 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*b + 65*b - 832 = 0. Find the third derivative of -51*h**2 + 84*h**4 - b*h**2 + h**3 - h**3 + 48*h**4 wrt h.\nAnswer: 3168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13096 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 5427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 996 by -2.\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010000111010001 (base 2) to base 15.\nAnswer: 16eb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h*h**(1\/2)*h)\/h*h*h))\/h**(-5))\/(h*h*h*(h*h*h*h**1)\/h)**(-7\/6))**50 assuming h is positive.\nAnswer: h**475","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 4:46 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*m + 999, -2*r - 69 = -m - 406. Let l = 362 + m. Calculate the lowest common multiple of 45 and l.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p = -1332 + 1357 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1046 - -1193. What is the greatest common divisor of h and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 2534.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489764, 1959178, 4408244, 7836962, 12245332, 17633354, 24001028?\nAnswer: 31348354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 10. Let p be r(14). Solve -8 = p*w - f, -3*f - 10 = -w - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -19 - 4 - -19 - (-5 + 0\/(-1)). Put 0.06, -5, f, 0.83 in decreasing order.\nAnswer: f, 0.83, 0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, -2.\nAnswer: -11, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 + 7 + (-7 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137879429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38676 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to -29.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/15 - -2*4\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722\/12 - 6\/36 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -787537 plus -12823?\nAnswer: -800360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42577880 + -680971311\/16. Let g = f - 17179. Calculate the common denominator of 97\/76 and g.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14621 + 26845. What are the prime factors of p?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, u: 3, t: 1}. What is prob of picking 1 t and 3 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/4 - 25*d**2\/2 + 509*d\/4 + 140 = 0. Calculate d.\nAnswer: -1, 16, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3025\/4 - -33119\/44. What is the common denominator of -32\/9 and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -214, -386, -608, -904, -1298, -1814, -2476?\n\"Answer: -4*i**3 - i**2 - 141*i - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -8521377.\nAnswer: -102256524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d + 640 = 0. Let h be (-1347)\/(-9)*(-39)\/13. Let i = d + h. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**2 + 3434228*g - 1474240244498 = 0.\nAnswer: 858557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04315 * 3595.\nAnswer: -155.12425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = -3*s. Suppose -4*r + 3*p - 16 = 7*p, 16 = 5*r - 4*p. Let y be r\/3 + (6 - 1). Put y, s, 1 in ascending order.\nAnswer: s, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36073 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100 + 1000?\nAnswer: -1011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*h*u**3 - 6*h*u - 2*h + 22*u**3 + 3*u - 2 wrt u.\nAnswer: 108*h*u + 132*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 241 = 3*x - 8*q, -2*x + q + 163 = 0. Is 81 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrrvcrrrrrqgcr. What is prob of picking 1 v and 2 c?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 9:26 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1269227 and 793.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.4557614 minutes?\nAnswer: 0.02426269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.16 (b) 2 (c) -5.2 (d) -1 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -12. Solve x*p - z - 6 = 2*z, 28 = -p - 5*z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 + 1 - 24) + -23 + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**35*l*l\/l**18 assuming l is positive.\nAnswer: l**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-316757.\nAnswer: -633514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*k**3 + 50*k**4 + 47*k**3 + (4*k**4 + k**4 - 3*k**4)*(-5 + 6 - 3).\nAnswer: 46*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -7*g + 8*g + 7 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407 = i - p, 12*i + 395 = 13*i + 3*p. Let r = i - 278. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*b = -8, -5*u + 92*b - 40 = 94*b for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401341 - 14?\nAnswer: -401410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3*-491576\nAnswer: -1474728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 649\/2596*1*-44.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r - 3*r - 14*r - 4 + 0. Let d(x) = 7*x - 4*x - 4*x. What is k(d(j))?\nAnswer: 9*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20541 by -6847.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -57264032 >= -57264032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x - 3*x + 3*x + (18*x + 4*x + 9*x)*(-4 + 4 + 1) in the form k + y*x and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3083 times 2?\nAnswer: 6166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.57, -4\/5, 233, -19 in decreasing order.\nAnswer: 233, 0.57, -4\/5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29996 + 5249338\/175. Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*u - 16, -5 = a + 5*u - 4*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-551)\/76 + (9\/(-12) - (4 - 5)). What is the closest to y in 7, -2\/5, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58691 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 596, 1037, 1666, 2489, 3512, 4741, 6182, 7841?\n\"Answer: w**3 + 88*w**2 + 170*w + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/6 - 55025*s**2\/6 - 126179200*s - 630666750.\nAnswer: -(s + 5)*(s + 27510)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210 + 21?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 - 97 = 10*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627.4311ug to tonnes.\nAnswer: 0.0000000006274311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 0. Let x(u) = u**3 - 3*u**2 - 4*u - 1. Let n be x(5). Let f = n - w. Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11698479 times -4?\nAnswer: -46793916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*o + 3*s + 4, 0 = 5*o - 5*s + 5. Let t = -363 - -365. What is the remainder when o is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 771 and 444867.\nAnswer: 444867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 - -3) + 0\/(-1). Let o = 14 + g. Calculate the smallest common multiple of o and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5202802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639385427?\nAnswer: 639385427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 149 = 24*r. Suppose 6380 = 14*x - r*x. List the prime factors of x.\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24723 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1924.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -180\/11 (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 9:46 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 5888 = -5*w. Let a(h) = 2*h**2 + w - 736. Let g(u) = 4*u + 34. Give a(g(p)).\nAnswer: 32*p**2 + 544*p + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7227, -7170, -7095, -7002?\nAnswer: -6891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 16*i**2 + 2*i. Let m(f) be the third derivative of 0*f + 0*f**4 + 1\/60*f**5 + 0*f**3 + 0 - 2*f**2. What is y(m(z))?\nAnswer: 16*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*u - 9 - 17, -3*b = u - 2. Is (3779 - 0) + b + 11 + -15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -6542?\nAnswer: -6545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -151 + 153. Suppose 0 = n*i - 13*i + 55. Solve -o = -v - 3, 5*v - 5*o = -2*o - i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 11. Sort -1, 4, b.\nAnswer: b, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 161 = -181 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 0)*6\/(-5). Let g(o) = 7*o + 5. Let x(w) = 8*w + 6. Let u(j) = m*g(j) + 5*x(j). Let a(n) = 2*n**2. Calculate a(u(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 578455 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0164983 litres?\nAnswer: 16.4983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175 + 241. Let j be ((-148)\/k + 2)*(-1125)\/(-50). Is j greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -8\/131 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 767 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 5 - 4)*(-4 - 11 + 3) - 65 + 29 - 48)*(3*i + 2*i - 4*i).\nAnswer: -108*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(7\/4)*m)*m*m\/(((m*m**(-1\/9))\/m)\/m)*(m*m*m**(-9)*m)\/m**(-2\/15) assuming m is positive.\nAnswer: m**(-811\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1030 + -16485\/16. Let v = 53\/272 + f. Which is the closest to -1? (a) 2 (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 38 - 50 - 16)*(0*k**2 + 3*k**2 - 5*k**2).\nAnswer: 2*k**3 + 56*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201 is divided by 299.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 534.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + 1*(sqrt(768) + -1 - (sqrt(96)\/(sqrt(8)*2) + sqrt(12)) - sqrt(120)\/((sqrt(360)*1 - sqrt(10)) + sqrt(10))))**2.\nAnswer: -7460\/3 + 1520*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21*(-40)\/(-140))\/(-1*(-27)\/6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 120 = -13*r. Let k = 24 - r. What is the remainder when 40 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 10*r**3\/3 + r**2 - r + 1. Let m = 54 + -53. Let x be a(m). Solve -9 = 4*f + x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -132 + 2?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 0.2 (c) 8 (d) 237 (e) -1 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.62 + 1.6. Let j = d - 4.98. Which is the closest to -3\/4? (a) j (b) -0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -8. Let q(s) = s**3 + 8*s**2 - 4*s - 7. Let c be q(-7). What is the highest common factor of m and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j**2 + 5*j + 2. Let x be k(0). Suppose -8261 = x*n - 13*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 2760652.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8 = -7. Suppose -4*c - 17 = -4*d + 15, -g*c + 4*d - 22 = 0. Let b = c + 40. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1368, 1735, 2104, 2475, 2848, 3223?\nAnswer: 3600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8846015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 1:49 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -238 + 226. What is the nearest to u in -0.1, 2, 3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/2*(-240)\/28. Let k be (-22)\/(-4) - (-15)\/c. Suppose 2*i + 60 = k*i. Solve i = w + 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28593?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -227 and -227 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 27\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 7*p**2 + 9*p - 1. List the prime factors of k(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -2 - 1) + -6 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/3)\/(35\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -28*r + 12. Let z be ((29 - 21) + -9)\/(1\/3). Give x(z).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5 + 0*x**5 + 2*x + 17*x**3 + 21*x**2 - 8 - 11*x**4 - 49*x**3 + 33*x**3 - 2*x**4 = 0.\nAnswer: -4, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*l + 13 = l, -5*l = y - 16. Let i(t) = -129*t - 1 + 125*t + y. Let k(p) = -12*p. Give k(i(n)).\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 101*g*w**2 - 2*g*w + 2*g + 15*w**2 - 13*w + 259518 wrt w.\nAnswer: 202*g*w - 2*g + 30*w - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -63a (base 11) to base 16\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 295480 and 63368.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*n + 176 + 152, 2*n = 3*j - 236. Let c be (-6)\/(-4)*j\/180. Factor 0*m**2 - 4\/9 - c*m + 2\/9*m**3.\nAnswer: 2*(m - 2)*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328168 (base 9) in base 5?\nAnswer: 22234434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -17. What are the prime factors of ((-2)\/s)\/(1\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72352 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38003*c + 152013*c - 38010*c - 38011*c - 38005*c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28972 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 4. Calculate the remainder when 23 is divided by o\/(-11) - 64\/(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139571266.\nAnswer: 2, 3919, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let s = 3 + 2. Suppose 0 = s*p - 16 - 14. What is the remainder when p is divided by k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423 - 2?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + 11 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -11 + -9 + -20?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (42 - 51) + -1 + 4 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*n - 6. Let p be -1*(-2 + 0) - n. Calculate the greatest common factor of 60 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**3 - 13*l**2 + 79*l + 60. Calculate b(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**3 - 2*b**2 + b. Suppose 0 = -2*z - 1 + 7. Let h be y(z). Suppose -h = -3*v - 3*c, 0*v = 2*v - c - 104. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-42)*((-42)\/90)\/((-39949)\/2634).\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 79*l**2 + 6*l + 9. What is the units digit of m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581877047.\nAnswer: 3, 17, 41, 44501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -7\/4 (c) 0.12 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1330 (base 6) to base 4.\nAnswer: -11112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*t = -19, -2*t = 3 - 1. Let l(n) be the first derivative of -1\/4*n**2 - 1\/6*n**3 + 1\/8*n**4 - y + 1\/2*n. Let l(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 7*j**2 - 7*j - 4. Let d(v) = -7*v**2 + 1. Let t be d(-1). Let y be a(t). Suppose -y*x + 3*x = 5. Solve -2*c + c = -x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97195 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 8, 4, 20, 6.\nAnswer: -2, 3, 4, 6, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + 0*c**4 + 0*c**4)*(-3 + 1 + 6)*(3 - 4 + 2) + 2*c**4 - 4*c**3 + 4*c**3.\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (7 - (-10 - -26)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 190 - 286. Let m = -121.24 - n. Round m to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 96*z - 5. Let b be y(-39). Round b to the nearest ten.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (-3 + (sqrt(190)\/sqrt(10))**2 - sqrt(19)) + sqrt(19) - (sqrt(76) - (sqrt(76) + -2)**2)) + -4*(3 + 1*sqrt(19))*4.\nAnswer: -25*sqrt(19) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + l + 6. Suppose -l*v + 40 = -v. Calculate the lowest common multiple of v and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64484\/15 + -4299. Which is the nearest to -17? (a) -0.4 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45865210 to the power of 1\/2, to the nearest integer?\nAnswer: 6772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**8\/2016 - 2*z**7\/315 - z**6\/40 - z**5\/90 + 19*z**4\/144 + z**3\/3 + 30*z**2 - 7*z. Determine r so that o(r) = 0.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 12 - 30 + 0*p - 9*p + 20 + 3*p. Suppose 3*s - 3 = f + 1, -2*f + s + 2 = 0. Give q(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25\/33 + -12\/11. Let u be -5 - (-536)\/56 - 4. What is the third smallest value in 6, l, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160207.7 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j + 3 - 42 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, -2031, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**7\/630 - i**6\/36 - 2*i**5\/15 - 25*i**4\/12 + 23*i. Let h(q) be the third derivative of t(q). Factor h(j).\nAnswer: -4*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.5 (c) 5 (d) -5 (e) 160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11054*h**2 + 2*h + 7301?\nAnswer: -22108*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3 - 5*t - 3*t - t**2 - 5. Let b be j(-6). Suppose 0 = -b*d + 2*a + 3*a + 20, 2*d - 4*a = 4. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 779477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1, -12916, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 3 + 3)*(2*g**4 - 1 + 1)*(4 - 5 - 2 + (-1 + 2 - 5)*(-4 + 3 - 6)).\nAnswer: -150*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 23*d**3 + d**2 - d - 1. Let p be o(1). What is the highest common factor of 154 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1339 and 1.\nAnswer: 0.8661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180971?\nAnswer: 7, 103, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31816709, 31816677, 31816617, 31816523, 31816389?\nAnswer: 31816209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 113 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 - 0.04?\nAnswer: -57.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, 39, 115, 261, 501, 859?\n\"Answer: 4*s**3 - s**2 + 5*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvbvvvbvvvbb. What is prob of picking 1 b and 1 v?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/640, 2, -4\/3 in ascending order.\nAnswer: -4\/3, 7\/640, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*y + 7. Let q be -1 - -5 - (0 + y). Suppose -5*x + 2*x + q*t + 46 = 0, -3*x + 4*t = -56. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8530165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/20)\/((-184)\/(-690)))\/(20 - (-830)\/(-40))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -4975?\nAnswer: 1\/995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 + (-110 - -94) - -225?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, g: 1}. What is prob of sequence zzg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/43 or 5.458?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 64 - 81 + 28*j + 53 + 31*j. What is the units digit of w(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 5*z + 5. Let o be ((-40)\/(-30))\/((-4)\/(-18)). Calculate h(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5 + 2 - 39*d - 2 to the form k*d + z and give k.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzyryrerzzr. What is prob of sequence ryyr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(325))**2 - (-2 + sqrt(65)\/sqrt(5))**2.\nAnswer: 4*sqrt(13) + 1283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i - 19 = -23*i - u, i + u = 12. What is the remainder when 454 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 1) + 64 + 0. Let m be b + 1*(-2 + 1). Suppose 5*r - 165 = m. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**4\/24 + 17*n**2\/2 + 25. Let a(i) be the second derivative of y(i). Let p(d) = -2*d + 4 - 4. Determine a(p(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 373, 731, 1079, 1417?\n\"Answer: -5*t**2 + 373*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/50*(-424)\/16*(-100)\/75?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 409 = -i, i - 302 = 5*h + 210. Let g = 180 + h. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104273, 209193, 314127, 419081, 524061, 629073?\nAnswer: 734123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -346*j**2 - 69*j + 28. Let w(x) = 174*x**2 + 32*x - 13. Give 6*a(c) + 13*w(c).\nAnswer: 186*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 5*a**4\/4 + 20*a. Let k(f) = -2*f**2. Calculate -3*i(g) - 25*k(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 430149075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 595687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15824283.\nAnswer: 3, 19, 73, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1218 = 3*t - 7710. Find the third derivative of 2980*i**4 - t*i**4 + i**3 + 12*i**3 - 2*i**2 + 29 wrt i.\nAnswer: 96*i + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 = -x. Suppose -n - 5*p + 14 = 0, 22 = x*n - 2*n + 5*p. Suppose -n*w + 3 + 5 = 0. Put 3, -4, w in decreasing order.\nAnswer: 3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) -3\/5 (c) 0.1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/6*16\/1848)\/(-5*(-28)\/(-210)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15854530 is divided by 1929.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 195 + -108. What are the prime factors of h?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*x + 4*m = -91*x + 591316, -591292 = -x + 2*m. What is x rounded to the nearest 10000?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -146*m + 147*m - 4. Suppose 5*f + 10 = 5*j - 10, 0 = m*j + 5*f - 16. Solve -4*q + 8 = -2*d, -13 = -j*q - 4*d + 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1561004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9))\/(7\/(-336)*4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -3608910?\nAnswer: -23\/3608910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24407 is divided by 454.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 33 = -2*w, x - 3*w + 227 = 271. Let i = 10 - 3. Solve x = -z + i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 54, 5, -0.149, -0.21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 + 129. What is the lowest common multiple of 41 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 10*f**2 + 16*f - 8. Let y be z(8). Which is smaller: -10 or y?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -201209 >= -201207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (4 + -9)) + (-4 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/1)\/(-8) + 16\/32. What is the second smallest value in -3, 0.5, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67001221*a**3 - 129684703*a**2.\nAnswer: 402007326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + 0 - (-63)\/27.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1402 - -1425 - (-2 + 79)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 325144836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 11:46 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350 not equal to 2078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1888 = -480*g - 512 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 84*d - 103*d + 65. Suppose -2*m + 6 = -0*m - l, 0 = -3*m - 5*l - 4. Let n be m\/(4\/(-2))*0. Solve d*z - 2*z = n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + z + 2. Let l be s(-2). Let m = -3.5 - -3.88. Let j = m - 0.18. Which is the closest to 2? (a) 3 (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 7.2.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2. Let o(n) be the third derivative of -n**5\/20 - 2*n**2. Calculate l(o(i)).\nAnswer: 45*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 159\/4 - 41. Suppose k = 5*c + 17, -2*k = -4*k - 3*c - 5. Find the common denominator of 17\/(-2 - -14 - k) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 - 3*t**4 + 3*t**3)*(-2*t + 7*t - 4*t).\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 8679*z - 18131*z + 9112*z in the form w + j*z and give j.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7 (b) -1 (c) 0.1 (d) 3\/629 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 8:22 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176 + 251. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 17 = -m. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*a + 106385 = -278025 + 80975. Calculate the remainder when a is divided by 1020.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 5. Let r be f(6). Let x = r + 0. Let u(z) be the second derivative of z**4\/2 + 4*z + 3. Determine u(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (1104\/(-156) - 5)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6264101737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670757.\nAnswer: 19, 43, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -3. Suppose 5*z = -3*h + 133, -3*z + 74 = -0*z - t*h. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13651 and 665159.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 11 - 1 = 0. Let f be (-180)\/(-18)*(h\/5 + 0). Let t(g) be the third derivative of -g**6\/120 + g**5\/10 - 5*g**4\/24 - g**3\/2 + g**2. Calculate t(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/195 and -97\/6246?\nAnswer: 405990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68250 + -35?\nAnswer: -68285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, l: 5}. Give prob of sequence oo.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 220 - 95. Does 25 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 u, and 1 g when three letters picked without replacement from {b: 1, l: 5, u: 4, g: 3, r: 1}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29959, 239708, 809027, 1917700, 3745511, 6472244, 10277683, 15341612?\nAnswer: 21843815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471, -944, -1405, -1848, -2267?\nAnswer: -2656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -265852056*y**3 + 76244502 wrt y?\nAnswer: -797556168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 68110*d - 2179550. Give r(32).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164499189 is divided by 3042.\nAnswer: 3039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-7)\/(1344\/(-12))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.27851 + -0.02149. Let u(h) = 8*h**2 + h + 1. Let d be u(-1). Suppose -4*k - d = -4*o + 80, -5*o - 106 = 3*k. What is the smallest value in 0.5, k, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p + 153. Let k be 1\/(-1 - p\/48). Suppose -5*a - 3*a = k. Is a not equal to -9\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24534 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31919851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/191020984 and -89\/5544.\nAnswer: 1719188856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2))\/sqrt(6) + 4.\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 32 = 3*z. Is (-4 + (3 - -1) - z)*-1961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-1))**(-1\/18)\/(((p**(6\/5)\/p)\/p)\/p*p**(-7)) assuming p is positive.\nAnswer: p**(259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2847224 divided by 148?\nAnswer: 19238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 5. Let b = y - -4. Let w = -176 + 175.9. What is the nearest to b in 0.1, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 - 6*c. Let b = -66 + 61. Let q(p) = 3*p + 5. Let o(y) = 2*y + 4. Let a = -44 + 48. Let r(k) = a*q(k) + b*o(k). What is m(r(d))?\nAnswer: -8*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a**3 - 2*a**2 - 2*a + 2. Let c(y) = -43*y - 13 + y**2 + 12 + 44*y. Calculate -2*c(i) - l(i).\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 405539903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5*((-45)\/4)\/((-9)\/(-6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*x**5 - 3*x**4 + 3721*x**3 + 27*x**2 - 135*x + 397.\nAnswer: 3300*x**2 - 72*x + 22326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-2)\/3 + 2. Put 3, -2, h in increasing order.\nAnswer: -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-75 + -5)*(-294)\/12. Suppose 0 = -7*r + 9*r - y. What are the prime factors of r?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-8\/3)*g*g**18*g**26*g**(-1\/27) assuming g is positive.\nAnswer: g**(1142\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 5*g**2 + 5*g + 7. Let f be b(-4). Suppose 0*j = -4*j + 36. Let m be (12\/9)\/(f\/j). Solve 0 = 4*l - 3*c - 25, 0 = 4*l + 2*c - 6 - m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31187 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9 and 419849?\nAnswer: 419840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**3*q**3*y - 165*g**3 - 2*g**2*q*y**2 - g*m*y - 3*g*q*y**2 + 260*m*q**3*y**2 - q**2*y wrt q.\nAnswer: -24*g**3*y + 1560*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*w + 42 = 0, -3*t + 18 = -3*w - 6. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 49.5.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624413?\nAnswer: 167, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 230 - 1222221?\nAnswer: -1221551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 241, 2, -2\/11, -4\/9, -2\/7, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1116 = -272. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -411, -557, -919, -1605, -2723, -4381, -6687?\nAnswer: -9749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043 divided by -5?\nAnswer: 1043\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 15*w + 20. Let q be r(-16). Which is the closest to 6\/7? (a) -1\/10 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxddw. What is prob of picking 2 d and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2324097873?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13047379241 + 0.4.\nAnswer: 0.26952620759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000102 rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-132)\/8 + -2)*-2. Suppose -3*k + 4*m + d = -2*k, 159 = 4*k - 5*m. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*g**4 - 83*g**3 - 6892*g + 797135897?\nAnswer: -216*g**3 - 249*g**2 - 6892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(14\/9)\/t))\/(t**43\/t)*t*t*t**(-2\/45)*t**37 assuming t is positive.\nAnswer: t**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**2 + 14*t + 32. Let h be q(4). Which is the biggest value? (a) 1 (b) h (c) 4.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965627501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 256?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11641 (base 10) in base 12?\nAnswer: 68a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 6:14 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-18))\/((-6)\/(-50769)). Let u(p) = 7*p**2 + 21*p - 21. Let v be u(-10). Let x = v - g. What is the common denominator of x and 33\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z. Suppose -2*g - 4*c - 26 = 3*g, -3*c = g + 3. Let d(p) = -p**3 + 2*p**2 + p. What is the smallest common multiple of v(g) and d(-2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 + -14?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1016917, 1017344, 1018063, 1019080, 1020401, 1022032, 1023979, 1026248?\nAnswer: 1028845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/7)\/((-1128)\/13160).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33000 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8614*m + 8575*m + 8570*m - 25834*m.\nAnswer: -75*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 12:23 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 0*f = 4*q + 12, 0 = -5*q - 3*f - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45884.19 litres in millilitres?\nAnswer: 45884190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (71\/2)\/((-1)\/2). Let v = -43 - y. List the prime factors of v\/(-3)*36\/(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q**2 - 10*q**2 + 3*q**2. Let o(f) = 8*f**2 - 10*f + 10. Let a(z) = -26*z**2 + 32*z - 32. Let s(r) = 5*a(r) + 16*o(r). What is w(s(k))?\nAnswer: -56*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22\/5 in 0.231, 3, -0.2, 0, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-490)\/5 + -2. Let l = 110 + w. Let p(q) = 3*q**2 - 25*q + 21. What is the hundreds digit of p(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 - 52. Calculate the greatest common divisor of 234 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 55325*f. Let p(g) = -22*g. Give l(p(j)).\nAnswer: -1217150*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/9 (b) -8 (c) 275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5708?\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51019210559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 763 + -284. What is the remainder when y is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 13) in base 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 2210102?\nAnswer: 2210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*m + 12 = 3*y - y + m, 94*m - 3620 + 3644 = 4*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 70 = 6*y. Let u(h) = -23*h + 13. Let x be u(y). Suppose -4*l + x = 3*a, -2*l + 4*l = 4. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 20. Suppose 0 = 4*u - 51 + 3. Let w be p(u). Calculate the greatest common factor of w and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*z - 67*z - 50 = -5*o, 4*z = -7*o + 104 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/12 - (-1)\/4. Let d be (-15)\/(-6) - 3\/6. Suppose 9 = -3*n + d*c - c, 4*n = -2*c - 22. What is the third biggest value in 1\/4, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1310 = -3*a + 4*n, -2*n = 14*a - 18*a + 1740. What are the prime factors of a?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -520*v**3 - 310*v?\nAnswer: -3120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117695 is divided by 853?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + 8 - (1 - -2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6128971\/90 - 68101. Find the common denominator of 19\/18 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53 and 37?\nAnswer: 1961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 11:26 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3680367676.\nAnswer: 2, 1301, 707219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*n - 3*u, -n + 4*u = 3*n - 16. Suppose -3*c + n*c = 2*r - 29, 0 = -2*r + 5*c + 31. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 f, and 1 x when three letters picked without replacement from {p: 2, f: 5, j: 4, x: 8}?\nAnswer: 160\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138.913 - 139. What is p rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 42952 and 47231 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 681 - 4419?\nAnswer: -3a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45440 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {r: 2, e: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/22 (b) -14 (c) 2\/17 (d) 3 (e) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -3. Let o be (-2)\/(t + -2)*0. Determine j so that 8*j**3 - 4 + 2*j + o*j + 12*j**2 - 2*j = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 5*y + 0*y)*(-22*y - 2*y + 4*y).\nAnswer: -100*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18.275 * -0.032\nAnswer: 0.5848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 59\/7 + (-11)\/(539\/(-28)). Suppose -3*d**4 + 2 - 23\/4*d**3 + 27\/2*d**2 - y*d + 9\/4*d**5 = 0. Calculate d.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 21220120000010?\nAnswer: 21220120000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -766 divided by 257.\nAnswer: -766\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 3:45 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (19 - -13 - 22).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:24 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s + 19*s + 12*s)*(0*s - s**2 + 0*s)*(-21*s - 33*s - 2*s) as g*s**2 + l*s + n + i*s**4 + x*s**3 and give i.\nAnswer: 2072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 - 5*s**2 - 1 + 14*s**4 - 5*s**2 + 2 + 12*s**2 in the form v*s**3 + y*s + q*s**2 + o*s**4 + r and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86334937, -86334934, -86334931, -86334928, -86334925?\n\"Answer: 3*t - 86334940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 12:46 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*f**3*m**2 + 8*f**3*m - 204*f**2*m + 102953*f*m**2 + 4*f*m + 19*f + 9*m**2 + 2*m + 14 wrt m.\nAnswer: 14*f**3 + 205906*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -33. Suppose 18 = -4*r + x*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141865 divided by -5?\nAnswer: -28373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -65. Let d = 56 + o. Suppose 3*u - 5*s + 19 = 0, -u = 3*u - d*s + 2. Solve -m + 6 = u*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -2 + 2 - -6. Suppose h - 3*n = -18, 13 = -z*h + 5*n - 37. Let s = h + 30. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**3\/6 + 3*c**2\/2 - 2*c. Let a(y) = -3*y - 7. Let m(p) = -4*a(p) - 10*k(p). Let d be -1 + 2 - -1 - -2. Calculate m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -403 divided by 10\nAnswer: -403\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = 6*n - 7*n, -5*n = -5*f + 5. Solve -85*c + 95*c + 60 = n for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -346 + 4841\/14. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 - 7*q - 9 - 12 + (5*q - 4*q - 3*q)*(1 + 2 - 1).\nAnswer: -11*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (142 - (38 - -11)) + -102.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17125573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*k + 44*k + 43*k - 67*k**3.\nAnswer: -67*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 7}. Give prob of sequence xx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 divided by -170.\nAnswer: 37\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 52, 121, 218, 343, 496?\n\"Answer: 14*i**2 - i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041274409?\nAnswer: 7, 73, 2037719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 153809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 445194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 74*p. Let g(h) = 23*h + 11. Determine w(g(f)).\nAnswer: -529*f**2 + 1196*f + 693","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + c?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -274, -279, -288, -301?\n\"Answer: -2*q**2 + q - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9191*g**3*u**3 + 3*g**3*u**2 + g**3*u - 7*g**2*u**3 + 72916*g**2*u**2 - g wrt u?\nAnswer: 55146*g**3 - 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/33 (b) -2 (c) 52118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*f + 8, -26 = 3*f - 4*f + 5*v. Let m(b) = -b - 6. Let u be m(-6). Suppose 4 = q - u. Calculate the greatest common divisor of q and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*k + 6 - 10*k - 9*k - 4*k to the form b*k + w and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1403, -4, -273, 5, -3, 0 in decreasing order.\nAnswer: 1403, 5, 3, 0, -3, -4, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 170895.6006 less than -2100?\nAnswer: -172995.6006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = n - 31. Let i be 0 - (1 - 9 - n). Round i to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*l - 16, -2*k + 7 = -k - 3*l. Suppose -4*g + 64 = -2*g + k*h, -4*g = 2*h - 104. Calculate the greatest common factor of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3*3\/(-99)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 681234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 6\/19*m**2 + 18\/19*m + 2\/57*m**3 - 33. Factor s(f).\nAnswer: 2*(f + 3)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*o + 30*o - 22*o - 12*o - 7*o - 301)*(-186 + 186 - 13*o) to the form j + s*o + q*o**2 and give q.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, h: 8}. Give prob of picking 3 h.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 35 - 45 = 0. Solve l = 3*l - f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*v + 0*v = -4, -31 = 5*x - 2*v. Let c be (-13)\/(-2)*(7 - x). Suppose 452 = 3*y + 5*n + c, y + 4*n = 120. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)\/s**15)**(-27))**(2\/19) assuming s is positive.\nAnswer: s**(1134\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 9:08 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1804796 and 34477.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -34028136 divided by -7482\nAnswer: 4548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -40*l + 1525. What is the hundreds digit of t(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4270382mm in centimeters?\nAnswer: 0.04270382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1065604 = -2*r - 0*r + 2*h, -r - 3*h = 532794. Round r to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -2456557?\nAnswer: 9826228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1466.5 - 1205. Let z = r + -262.867. Round z to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(z - 4*z + z)*(-2*z**2 - 2*z**2 - 4*z**2).\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 + 3*r**2 + 5*r + 7. What is c(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (164\/(-20) - -2)\/((-2)\/10). Let n = p - 33. Let w be 36\/12 - (-2 - n). Solve 0*v = -v - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2778 - -2777.987718. Round n to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*l + 1. Suppose 5*g = 4*n + 2, g - n = 3 - 2. Let k = g + 3. Solve 0 = j + k + l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 5*k. Let l(p) = 3*p. Let g(u) = 3*a(u) - 5*l(u). Let r(s) = -4*s + 2*s - s. Calculate r(g(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18, -39, -60, -81, -102?\n\"Answer: -21*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 57 + 7. Let k(b) = -b**3 + 9*b**2 - 4*b - 22. Let l be k(7). What is the highest common divisor of l and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2. Let c(f) = -f**2 + f - 10. Let d(o) = -8*o**2 - 100. Let a(i) = 20*c(i) - 2*d(i). Give p(a(g)).\nAnswer: 32*g**4 - 320*g**3 + 800*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*q - 3470 + 24890. What is the least common multiple of 7 and q?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 159 + -157. Suppose 2 = 5*j - 3, 0 = g*h - 3*j - 651. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10090 and 2140?\nAnswer: 2159260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijjiqgiqimqii. What is prob of sequence jqj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19958?\nAnswer: 2, 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172810.\nAnswer: 2, 5, 11, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v + 39. Determine g(23).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4 + -2. Let b = 0.40000012 - p. What is b rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241627804 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -1\/10*a**5 - 1\/3*a**3 + 3\/8*a**4 + 19 + 0*a**2 + 0*a. Factor d(u).\nAnswer: -u**2*(u - 2)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1408, 1071, 156, -1625, -4560, -8937?\nAnswer: -15044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*i + 174, -2*o - 4*i = -0*o - 366. What is the greatest common divisor of 21 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*s**2 - 14*s + s**3 - 19*s**3 + 14*s**3 wrt s.\nAnswer: -24*s + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 29*j**2 - 158*j - 42. Determine d(9).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, j: 4}. Give prob of sequence eee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 30 (b) 0 (c) -4 (d) 0.26 (e) 3\/11 (f) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 12*b - 18. Is n(14) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 0*o**2 + 2\/9*o**3 - 8\/3*o + 33. Suppose q(i) = 0. Calculate i.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 46.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/26995 and -21\/26995?\nAnswer: 26995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*q + 64, -19*q - 86 = -5*o - 18*q. Suppose -o*f - 28 = 44. Let p(t) = t - 8. What is p(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 984238560173 and -0.4?\nAnswer: 984238560173.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (25\/5 + -6)*(-926)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11700000 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066.8422 times -12?\nAnswer: -12802.1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17636 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 69 + 101. Calculate the highest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 - 2*t - 12. Give p(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -12727 (b) 3 (c) -0.13 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 17*v**3 + 27*v**3 - 5*v**3.\nAnswer: 39*v**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*q - 10, 0*u - 4*q + 16 = 4*u. Suppose 5*z - 3*c + 2 = 0, z - 5*z = -u*c + 12. Solve z*y - 4 = 5*w, 7 = 2*w + 2*y + 17 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-8)\/(-2))*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -24852 to the nearest 100.\nAnswer: -24900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 r when four letters picked without replacement from grrrrrurggggrrgmr?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34551893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*t + 668 - 10*t + 33*t - 2480*t**2 - 11*t - 2283*t**2 wrt t.\nAnswer: -9526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08383 times 2406?\nAnswer: 201.69498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.942 - -1.942. Let x = 7 + -7.2. Which is the closest to w? (a) 6\/7 (b) -6\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 471815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 60 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*p - 5*b = 62, 5*b = -4*p + 106. Suppose -19*q = 2*u - p*q - 1731, 4*u + 4*q = 3448. List the prime factors of u.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 7*p**2 + 6*p - 4. Suppose -5 = 7*l + 485. Let d = l - -64. Calculate g(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t)**(-23)*(t\/t**8)\/(t\/(t**(2\/31)\/t)) assuming t is positive.\nAnswer: t**(-5268\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 4:20 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 - -11032?\nAnswer: 11063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11219.14 rounded to the nearest one hundred?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*j + 19 = 0, -2 = -4*k + j + 9. Suppose -l + k = -0. What is the first derivative of -2 + 4 + 2*s**4 + s**l wrt s?\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -209*z + 5. Let v(p) = 134*p - 3. Let t(f) = -5*v(f) - 3*w(f). Let o(h) = -29*h - 4. Calculate o(t(m)).\nAnswer: 1247*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4947, 4940, 4933?\nAnswer: 4926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47047 is divided by 11724.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-55)*2\/(-6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 9*i**2 + 104*i - 1139. What is the smallest common multiple of r(11) and 14?\nAnswer: 7658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312, 308, 300, 288, 272, 252, 228?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 48*h - 321. Let l be v(-54). What is the smallest common multiple of 28 and 0\/1 + l\/((-24)\/(-280))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -732, -662, -592, -522, -452?\n\"Answer: 70*s - 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + (7 - -62) + 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3.9. Let z = -0.2 + 0.1. Let q = -0.08 - 4.92. What is the second biggest value in q, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + r = -11*l - 33, -r = -249*l + 250*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1847, 3628, 5287, 6764, 7999, 8932, 9503, 9652?\n\"Answer: -10*j**3 - j**2 + 1854*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmptttmmmw. Give prob of sequence pwmt.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.61 and -19030?\nAnswer: -11608.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + -37. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991*v = -296*v - 540*v + 38367 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*z = -10, -k + 2*z + 4 = 3*z. Suppose 0*q + 12*q**k - 25\/3*q**5 + 10*q**4 + 0 + 8\/3*q**2 = 0. What is q?\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(13*o**2 - 7*o**2 + 16*o**2) to the form c*o + t + z*o**2 and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, s: 2, h: 1}. What is prob of picking 1 k and 1 h?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2638 to two dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 10*k = 0. Solve -5*u - 5*j - 5 = k, 3 = -2*j + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72973*c + 72973*c - 4305*c**2.\nAnswer: -4305*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g. Let v(j) be the third derivative of j**4\/12 - 2*j**2. Give o(v(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 459 + 459.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8*(-48)\/(-108))\/(((-30)\/(-3))\/(-2610))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:22 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3, 6, 2 in descending order.\nAnswer: 6, 3, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 46869 + -3?\nAnswer: 46866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16\/11 + 92\/33. Let q = -14\/15 + t. Is q greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40203312 to the nearest integer?\nAnswer: 6341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + s = -5*d + 2030, -d - 4*s = -425. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(-1 + 1 + 2*r)*(5 - 12 + 11)*(6 + 0 - 2).\nAnswer: -64*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-50)\/4*15\/(-50). Factor -i*d + 3\/4*d**2 + 3.\nAnswer: 3*(d - 4)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07 equal to 482576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 7396.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**3 - r**2 + 2*r - 1. Let w be z(1). What is the common denominator of (63 + (4 - 8 - 0))\/(-9) and (-19)\/w*96\/(-108)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 53\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0, -44, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28929 - 6681. Let n be ((-3)\/2 + 1)\/((-36)\/j). What is n rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2418)\/(-248))\/(6\/8). Suppose 0 = -3*t - 5*l + 522, -121 - 229 = -2*t - 4*l. What is the greatest common divisor of w and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*t = 6. Let y(k) = k**2. Let q(r) = -6*r. Let d be (2\/6)\/((-2)\/(-18)). Let g(f) = d*y(f) + t*q(f). What is the second derivative of g(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtt when three letters picked without replacement from ggyggggygtgt?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w + 23. Determine b(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u. Let w(x) be the first derivative of -95*x**3\/3 + 22. Calculate w(i(d)).\nAnswer: -95*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2550\/(-84) + (-2)\/14 and -7\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205632 less than 205632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -24*f**2. Let m(u) = 23143*u. Calculate k(m(z)).\nAnswer: -12854362776*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 992*x + 51 = -987*x, 0 = -5*b - 2*x + 33. Let a be 18\/(-4)*(-8)\/(-6). Sort a, 1, -32, b in descending order.\nAnswer: b, 1, a, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-28) + (-132)\/(-462)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 3*p**2 + 3*p - 2. Let z be o(-4). Let u(j) = -2*j**2 + 3*j - 1. Calculate u(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 1140.\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73 or -331763?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4356570 and 52\/435657?\nAnswer: 4356570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 431188.\nAnswer: 3018316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4799, -1, -4, -2 in decreasing order.\nAnswer: 6, -1, -2, -4, -4799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 7*i**2 - 7*i + 6. Let r(f) = 5*f**2 - f - 1. Let h be r(-1). Is 13 a factor of q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w. Let n be ((-110)\/(-33))\/(1\/(-3)). Calculate k(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 + 34*g**2\/5 - 5492*g\/5 + 5456\/5.\nAnswer: 2*(g - 44)*(g - 1)*(g + 62)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, d: 4, f: 2, n: 3}. Give prob of picking 2 n and 1 d.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-322)\/(-4) + 13\/(-26) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 6*i**2 + 24. Let t be g(-4). Suppose 54 + t = 10*d. Solve 0 = -5*a - 4*x + d, 2*x = -5*a + 2 + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/6 - (-716)\/(-24). Let j(c) = 6*c**2 - 4*c + 3. Let o be j(3). What is the tens digit of (o\/(-10))\/9*k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 8*p**2 - 6*p + 4. Let q be z(-7). Which is the second smallest value? (a) -1\/61 (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p + 2. Let v be s(-1). Suppose v*h + h - 307 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/36)\/(6\/(-32))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + 2*f**3 - 3*f**3 + (2*f**2 - 2*f**2 - 2*f**2)*(5*f - 9*f - 6*f).\nAnswer: 19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -2\/13, -42, -0.2 in descending order.\nAnswer: 49, -2\/13, -0.2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 77756729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvp when three letters picked without replacement from ppvvpppppv?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -23. Round v to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -4 (b) -69 (c) -3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -806 (base 16) to base 7.\nAnswer: -5663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**5\/120 - 469*x**4\/72 - 157*x**3\/6 + 7988*x. Factor w(c).\nAnswer: c*(c - 471)*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 20565.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8316 and 37114.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1, 10, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/1)\/((-36)\/18). Suppose x = -3*w - 2*l + 32, 46 = 3*w - 4*l - l. What is the lowest common multiple of 11 and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -107*n**3 - n**2 - n + 1. What is the tens digit of v(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103 - (12 + -46)) + 55.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 i, and 1 w when four letters picked without replacement from wivvoqiiiwvovivov.\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1563 - 10?\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + 338*w**2 + 367*w**2 + 154*w - 695*w**2 in the form u*w**3 + t + d*w**2 + n*w and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 43*g - 13 - 14 + 41 - 569*g.\nAnswer: -612*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v**3 + 10*v**2 + 6*v - 8. Let o(p) = 4*p**3 + 5*p**2 + 3*p - 4. Let z(b) = -3*j(b) + 5*o(b). Calculate z(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5872 * 1.19\nAnswer: 0.698768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from izikzilzikkizkiz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**7\/210 + 11*w**6\/8 - 671*w**5\/60 + 281*w**4\/8 - 169*w**3\/3 + 2*w**2 - 1654*w. Solve f(r) = 0 for r.\nAnswer: -169, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 55.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y - 52 = -1052. Let m be (6*6\/30)\/((-10)\/y). Solve -17 = 5*c + m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 7:44 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*w = -2, 3*y + 4*w = 1 + 3. Let p be (16\/y)\/(1 - 0). Let u be -1*3*p\/60. Which is the closest to u? (a) -2\/7 (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.092 + 0.372. Let r = z - -39.72. What is the second smallest value in 0.3, -0.2, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w. Let m(c) = 24*c. Let u(y) = 3*m(y) - 8*p(y). What is u(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*s - 15. Put s, 0, 4 in descending order.\nAnswer: 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -242171, -485142, -728115, -971090?\n\"Answer: -b**2 - 242968*b + 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arna when four letters picked without replacement from erareranrnaeerr.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/12 - (-1 + (-15)\/(-28)). Sort -6\/5, p, 0.1.\nAnswer: -6\/5, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002006558 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2257 is divided by 708?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.021923145 + -41.521350155. Let q = s - -41.82327. Let v = q + -0.28. What is v rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49485949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 181675710 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(2 + 6 + 9)*(l + 2*l - 4*l).\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 6464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, w: 6, k: 2, j: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -476.94 - -477. Let x = 0.9 - 1.3. What is the second smallest value in m, 4, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 - 124. Let h(v) = 16*v + m*v + 17*v - 40*v. Let x(t) = -2*t**3 - t**2 - 3*t + 2. Give 3*h(d) + x(d).\nAnswer: -2*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*i + 2\/5*i**2 + 4\/5.\nAnswer: 2*(i - 2)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26924 greater than 26925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/59514 and 49\/6.\nAnswer: 59514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 742925 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.485881 years?\nAnswer: 0.001485881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 - 0.01. Let u = s - -0.1. What is the biggest value in -4\/3, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n**5\/7 + 62578*n**4\/7 + 778088*n**3 + 7067432*n**2\/7 - 7150880*n\/7 = 0. Calculate n.\nAnswer: -85, -2, 0, 2\/3, 10516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2 + 29*h - 15 = 0.\nAnswer: -15, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w - i = 1, 3*w = -5*i - 5. Let x(m) = -m**2 - 10*m - 4. Let n be x(-7). Let y be n\/26 + 1\/(-2). Are w and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001689 to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87063?\nAnswer: 3, 29021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6158033 is divided by 904.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-3)*-1*29\/((-7540)\/(-7384)).\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 - 22*g**2 - 18*g - 30. Let s be c(-13). Suppose s = m + 4*n, -2*m + 5*n + 1244 = -4936. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 40. Let a be f(-42). Suppose -l - 4*b = -7*b - 9, a*l - 4*b = 14. Factor -9\/2*k - 15\/2*k**2 - 7\/2*k**l + 0 - 1\/2*k**4.\nAnswer: -k*(k + 1)*(k + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 6 - 11 - 11. Let a(u) = -4*u + 2. Let n be a(-1). Suppose 2*p = 2*k - n, -k + 6*p - 17 = p. What is y(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + -1*(0 + -567370) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 72.78369 micrometers?\nAnswer: 0.00000007278369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -289 - -253.4. Let l = 28 + z. Round l to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 0 - 3\/2*j**3 - 6*j**2 + 2*j + 1\/12*j**4. Let o be l(11). Solve -4*q - o = -3*q + 5*m, -4*m - 8 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466603661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 467111026 to the power of 1\/4, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10917552 less than 0.3?\nAnswer: -10917551.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w - 2*w - 7*w to the form s + d*w and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**2*p**3 - 3*h**2*p**2 - 121*h**2 - 240*h*p**4 + 3*p**2 - 2 wrt p?\nAnswer: 6*h**2 - 5760*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1fada9e - -1?\nAnswer: 1fada9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/25)\/((-2)\/5). Suppose k*z - 5 - 4 = 0. Suppose 0 = z*n - 4*n + 10. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2243038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, t: 3, j: 2, q: 2, b: 3}. What is prob of picking 2 t?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 65. Let s be ((-1056)\/h)\/(-8) + -1 + -2. Let v = 4 - 4. Which is the nearest to 0? (a) 3 (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28910.8 and 0.2.\nAnswer: 28911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 3*j + 1. Let v(r) = -7070*r**3 + 7454*r**2 + 15*r - 5. Let d(i) = 5*s(i) + v(i). What is the third derivative of d(k) wrt k?\nAnswer: -42390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)*q\/(q*(((q**(1\/4)*q)\/q)\/q)\/q))**(-2\/5) assuming q is positive.\nAnswer: q**(-71\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 15) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.75091 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57626.\nAnswer: 2, 28813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*((-64)\/(-20))\/((-1316)\/470).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 5. Let i be l(2). Suppose -3*z + 0 = 3*x - i, 2*x - 5*z = 30. Solve 0 = -4*k - 4*c - 4, -1 = x*k - 4*k - c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*h + o + 3, 3*h = -5*o + 1. Let k be (-2)\/(-8) + (-30)\/(-8). Let u(t) = -t + 5. Let m be u(k). Is m greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3\/13)\/w*w)\/w*w\/(w*w**17*w*w*w) assuming w is positive.\nAnswer: w**(-263\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4 = 0, 0 = z - 4*z - 4*s + 5. What is f in -23*f**4 + 20*f - 1 + 3*f**2 + 19*f**4 - 70*f**z - 45*f**4 - 3 = 0?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7956543 rounded to 3 decimal places?\nAnswer: -5.796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018486 to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00789582469 to five decimal places.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 12 = 3*s. Let y be 3 - (-2 + 2 + -1). Are y and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.84 + -1.84. Let x = y + -21.93. What is the second smallest value in -1, -6, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 20 = 2*v, l = -2*l. Suppose 70 = 4*m + 5*u, -3308*m = -3303*m - 2*u - 38. What is the greatest common divisor of v and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-164)\/(-24) - 91\/(-546)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6991924519 rounded to two dps?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*q + 6632, -4*q - 1432 = -2*m + 1874. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 + 3*j - 4. Let l be s(1). Suppose -l*h + 76 = p, -3*h + 380 = 5*p + h. Calculate the least common multiple of 8 and p.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12551942?\nAnswer: 2, 13, 482767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-252))\/(1\/(-48)) + 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, k: 3}. What is prob of picking 1 k and 2 b?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t**3 - 2*t**3 - 69*t + 9*t**3 + 80*t to u*t**2 + w*t**3 + h*t + m and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 9*a - 17. Let u be t(-5). Solve -2*q = -3*m + 11, -5*q - u = -3*m + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(5*w**3 - 4*w**3 - 6*w**3) - 3*w**3 + 0*w**3 + 4*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 7611771.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) + sqrt(77)*-1 + sqrt(77)) + sqrt(77))\/(-1*sqrt(112)).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**4\/6 - 147*j. Let y(u) = 8*u. Give y(l(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*g - 131 = 0, 4*g - 456 - 229 = 5*r. Let s = -2 - r. What is s rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 43 = 5*z - 3*z + 5*j - 0, 13*j = 5*z - 29 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*p + 16, p + 0*p = -5*v + 8. Suppose -p*d = -4*d. Suppose d*g = 5*g - 385. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144 - 140. Let q(l) = -l**3 + 3*l**2 + 9*l - 15. Let i be q(z). Solve -i*g - a - 4*a = -30, 4*g - 2*a = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 10) to base 13\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182.5 - 137. Let y = j + -45. Let u be -1*6*15\/10. Sort -4, y, u in descending order.\nAnswer: y, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.37 minus 1352.2?\nAnswer: -1359.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6353991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -dc (base 14) to base 2\nAnswer: -11000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.469 + 0.254. Let p = q + -1.785. Sort -3, p, -0.76.\nAnswer: -3, p, -0.76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449\/(-63) + (72 - (17 + -3))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/21 + 24\/(-42) - 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.380316nm?\nAnswer: 0.000000007380316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 0*m - 5*m)*(5 + 0 - 3)*(2 + 2*m - 2)*(-239*m - 153*m + 149*m) in the form y*m**2 + c*m**3 + a*m + n and give c.\nAnswer: 4860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 7 (c) -116 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3104379905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3494 + -2200. What are the prime factors of m?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 154\/28 + 7\/(-2). Solve 5*n = w - 0*w + 3, 0 = -4*n + b*w + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 12*w**2 - 5*w - 19. What is the remainder when o(11) is divided by 15\/18*(-6)\/(-15) - 176\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1194\/(-126))\/(134\/72). Let h = -54\/67 - p. What is the common denominator of h and -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**4 + 5*x**3 - 17*x**2 + 17. Let p(w) = -2*w**3 + 6*w**2 - 6. Let k(h) = 17*p(h) + 6*y(h). Let k(t) = 0. Calculate t.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001026436126 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(125)*-4)**2.\nAnswer: 40*sqrt(5) + 2001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 221 and 31754\/143 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 5*d - 6*d + 3*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/3 - 7154*s**2\/9 - 440470*s\/9 + 16402 = 0. Calculate s.\nAnswer: -59, 1\/3, 1251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 1550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/63928 and 7\/159820.\nAnswer: 319640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.91787 meters to nanometers.\nAnswer: 56917870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyuuujhhqqqykhhkhqku. What is prob of picking 1 h and 1 k?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 2*q - 2. Let u be j(-2). Let o be 0\/u - (1 + 1). Let z = -18 + o. Round z to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.7829 kilometers in nanometers?\nAnswer: 100782900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -70*u**2 + 9*u - 12. Let h be o(2). Let f = -273 - h. What is the biggest value in -2, 3.9, f?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 94\/7, -0.1, -2, 4\/7?\nAnswer: 94\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -17, -16, -15?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.2715612ms to days.\nAnswer: 0.000000246198625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2182 = 91*t - 727 + 4630 + 3197 for t.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 332616?\nAnswer: 332616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(10\/(-760)*-2). Solve i*z = 34*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2.7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 13. Let f be (-10)\/15 - 3\/d. Is f equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 757 - 4366 = 0. Let h = 358 - 598. Let p = h + o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 5 = 3*h, -2*h + 9*n - 12*n = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13*f - 16. Suppose 42*n = -151 - 521. Is 12 a factor of i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 5*u**2 - 9*u + 10. Give g(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 120 and -74?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 139?\nAnswer: -12\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = -25*i - 37 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 31 + 23 = 4*m, -5*g = 4*m + 8. Solve 4*t + x + 77 = 63, -4*t + 5*x - 2 = g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*x - 24, -5*x + 6 = -58*o + 61*o. Let w be -7*(-1)\/7*6. Solve -3*j + x = w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + s - 1. Let i(h) = -4*h**4 - 3*h**2 - 6*h + 39. Let o(x) = i(x) + 6*z(x). Differentiate o(q) with respect to q.\nAnswer: -16*q**3 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21b (base 13) in base 6?\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h + 3543. Let d(c) = 14*c**2. Calculate p(d(m)).\nAnswer: -98*m**2 + 3543","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 4*v. Let z be i(3). Let r(k) = 6*k**3 + z + k**2 - k - 6. What is the units digit of r(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*1*5 + -2*sqrt(152)*-5)\/(sqrt(72)\/(sqrt(576)\/sqrt(4))).\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9823\/14 + -701. Is 1 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78 - (-3 + -4 + 2) - (-66 + 52)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 2. Let r(b) = 2*b**2 - 14*b - 9. Let g be r(7). Let d(x) = 3*x + 9. Determine g*o(f) + 2*d(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.263 + 2.493. Let z = x - 2.73. Which is the second biggest value? (a) z (b) -4 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -59, -82, -105?\n\"Answer: -23*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -5*y**2\/2 - 33*y + 1913. Give p(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.883 + 827.283. What is u rounded to the nearest 10?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29209, 28661, 28113?\nAnswer: 27565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-14 + 8 + 8)*(-3*x**4 + 2*x**4 + 0*x**4).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.462313 times 0.2?\nAnswer: -0.2924626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5044 + 5039.7924. Let h = -4.2 - p. What is h rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 - 3*m**4 + 2*m**4)*(2*m - 2*m - 2*m - 1 + 1 + m + (-2*m - 2 + 2)*(1 - 4 + 5)) + (7*m**4 - 32 + 32)*(2*m - 1 + 1).\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 116628, 232621, 348614, 464607, 580600?\n\"Answer: 115993*l + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1136 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 205420 and 20542?\nAnswer: 205420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1942 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 844, 3500, 7928, 14128?\nAnswer: 22100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368911, -368910, -368909?\nAnswer: -368908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = j - 44 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 4*k**2 - 6*k - 5. Let q = -10 + 22. Suppose 2*f + q = 4. Calculate the remainder when 55 is divided by b(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -0.04, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f - 3*f + f + (-3*f - 4*f + 5*f)*(4 - 4 + 2) + 3*f + 2*f - 3*f + (-3 + 2 + 2)*(-3*f + 0 + 0) - f - 4*f + 3*f in the form i*f + t and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - -0.02. Let g = 3.41 - 3.8. Let j = g - h. Which is the third smallest value? (a) j (b) -1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 9) in base 11?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 0. Let t be 12\/(-4)*32\/i. Let v = 26 + t. What is the highest common divisor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*d**2*p**4 + 23*d**2*p**2 + 2*p**4 - 7*p**3 + 16*p**2 wrt p?\nAnswer: 792*d**2*p + 48*p - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5424 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 870 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/14923 (b) 22 (c) -0.2 (d) -4 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/12 and 67\/849.\nAnswer: 3396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010044064 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + k - 6*k + 19 = 0, 4*k = v + 15. Let m = 0.1 + -0.1. Put m, -1, v in decreasing order.\nAnswer: v, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 10*u - 3. Let x be s(8). Suppose 2*c - 5 + 56 = o, 0 = 3*o - c - x. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.11 + -7.1. Let k = -8 - w. What is the biggest value in k, -0.4, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115257\/5 - 23049. Find n, given that -h*n + 3\/5*n**2 - 3 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -2)*-1 + (-6)\/(-3). What is the tens digit of (-10 - 0)\/(-2) - (-227 + q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, 33198, 5, 1.47?\nAnswer: 1.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - ((sqrt(1782) - (sqrt(1782) + -2*sqrt(1782))) + sqrt(22)) - sqrt(132)\/(sqrt(6)*-3))\/((-1*2*sqrt(55))\/(sqrt(40)\/(sqrt(8)*-2))).\nAnswer: -53*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u + u)*(-3 + 0 + 1) - 37*u + 28*u - 69*u + (-4 + 4 - 2)*(2*u + u - u) + 1 - 3*u - 1.\nAnswer: -81*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14396 - 13683. Let i = 96 + -45. What is the remainder when q is divided by i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 66*t - 1. Let i be u(-1). Let x = -35 - i. What is the greatest common divisor of x and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 498 + 18bb35?\nAnswer: 190411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/15 - (-27)\/(-5). Let w be (-24)\/(-15) - 2\/z. Let j be w*2\/(-20)*-4. Which is the third smallest value? (a) 0 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640717 is divided by 160169.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 562737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/5 + (-2)\/1. Let l = 72.6 + -73.1. Put l, 0.5, p, -8 in ascending order.\nAnswer: -8, l, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/30 + i**2. Let q(n) be the second derivative of -2*n**4\/3 - n - 43. Determine b(q(c)).\nAnswer: 128*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 12868. Let l be m(0). Let w = 360365\/28 + l. Let v = w + -7\/4. Which is bigger: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.236351 + 3.231. Round t to four dps.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o - 60. Let f be p(10). Solve -u + 7*u - 18 = f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74 - 77)\/((-156)\/(-16)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1458*y**5\/13 + 6804*y**4\/13 - 2214*y**3\/13 - 56360*y**2\/13 - 96800*y\/13 - 48000\/13 = 0. What is y?\nAnswer: -20\/9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qmmmqqqqqmmqqq?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42 and 5?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Let b(n) be the third derivative of n**5\/60 - n**4\/12 + 2*n**2. Let t be b(i). Which is greater: 2\/5 or t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/2 - (5 + -2). Suppose c*v + 16 = -2*v. Suppose -3*h = -h - 8. What is the biggest value in v, h, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**2 + 5*u + 1. Let a(l) = 2*l**2 - 3*l - 1. Let c = -254 - -239. Let y be c\/45*(2 - -13). Give y*a(d) - 3*i(d).\nAnswer: 5*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {g: 2, p: 2, q: 4, o: 1, i: 5}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 16039176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) -12 (c) 94\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 4*s + 4. What is the lowest common multiple of 22 and x(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + d + 1. Let z(a) = 2*a**3 + 5*a**2 - a. Let w(f) = -3*f**3 - 25*f**2 + 7*f + 2. Let l(u) = w(u) + 5*z(u). Determine -3*l(m) + 6*r(m).\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*u - 17403 - 486117 = 0. What are the prime factors of u?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7351575 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2. Let u(b) = -12*b + 22. Let t(n) = 4*n - 7. Let j(q) = 17*t(q) + 6*u(q). Let f(g) = -7*g + 27. Let m(o) = -3*f(o) + 5*j(o). Calculate d(m(r)).\nAnswer: 2*r**2 - 64*r + 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upuhn. Give prob of sequence nu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -21*f**3 - 2*f**2 + f + 5. Let q be a(-2). Let u = q + -105. Is u a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1512 divide 24204096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 11*z**2 - 11*z - 2. Suppose 4 + 5 = b. Let c be r(b). Let x = c + -61. Is 5\/16 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2923*u - 17*u**2 - 10 - 2923*u.\nAnswer: -17*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/1186690?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 275936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, m: 1, k: 2, e: 1}. What is prob of picking 1 m and 2 k?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/3)\/(-5)*(-9)\/(-21). Which is the smallest value? (a) -4 (b) h (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005152241 to 5 dps.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * 0.6703976.\nAnswer: -8.7151688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (17 - -1)*(-2)\/(-6). Suppose -4*a + 14 + n = -2*c, 5*a + 4*c - 12 = 0. Let g(s) be the third derivative of s**4\/24 - 2*s**2. Give g(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, w: 7}. Give prob of picking 1 w and 1 h.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1252 - 2.8748. What is the closest to 3 in b, -3.41, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1100) - (2 + sqrt(1100)))*-6)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8579987400 to the nearest one million.\nAnswer: 8580000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f - 72. Let i(z) = 1. Let r(d) = 36*i(d) + s(d). Let y be r(-7). Let g(b) = b**2 - 10*b + 8. Give g(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1085\/6 or 61.8?\nAnswer: 61.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -325*w**3 + 143*w**2 - 143*w. Let a(m) = 9*m**3 - 4*m**2 + 4*m. What is 143*a(c) + 4*t(c)?\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -184.7168731 rounded to one decimal place?\nAnswer: -184.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(((a\/(a**1*a*a))\/a)\/a*a)))**14\/((a**(-6)*a)\/a**(2\/7)) assuming a is positive.\nAnswer: a**(-257\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11))**(-12)\/((i\/((i*i**11)\/i))\/(i**5*i)) assuming i is positive.\nAnswer: i**148","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/3*-3*2. Solve -5*d + b = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {n: 11, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 9*k - 6. Let o be m(-9). Let h(a) = a + 10. Let g be h(o). Suppose b = -g*b + 100. Solve 10*p = 5*p - b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 6 = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**4 - 4*i**4 + 4*i**4)*(5 - 1 - 2 + (0 + 2 + 0)*(65 - 40 + 29))*(4 - 2 + 1)*(4*i - 5*i + 3*i).\nAnswer: -3300*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21\/26 + 4\/13. Let b be (-276)\/132 - (3 + -5). What is the second biggest value in n, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12877 (b) 0.5 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22847400 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + sqrt(500) + -2 + 4 + -3*sqrt(500)*-6)*-1*-6 + 1)*6.\nAnswer: 78 + 7200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 51 = -3*i, -3*a = -7*i + 10*i - 33. Suppose -18809 = -2*g - 4431. Suppose i*n - g - 7357 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271698?\nAnswer: 2, 3, 7, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 513252895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16469, -32933, -49419, -65915, -82409?\nAnswer: -98889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:38 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 - -36. Let x = i - -112. Suppose 0 = n + 5*f - 17, -4*n - n - 5*f + x = 0. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5625807?\nAnswer: 3, 11, 151, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 85, 8977 in decreasing order.\nAnswer: 8977, 85, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001041 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 40. Let s = 38655.9905 - 38619. Let u = s + q. Round u to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 804 = -7*l - a, 2*a + 804 = -4*l. Let z = l + 236. Calculate the remainder when 42 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5111 (base 10) to base 5\nAnswer: 130421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4260 or -16?\nAnswer: 4260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 996, 1398, 2338, 4086, 6912, 11086, 16878, 24558?\nAnswer: 34396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*h - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 w, and 1 c when three letters picked without replacement from {c: 2, q: 2, p: 1, f: 1, w: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 43*k - 612 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -688 = -3*y + 2*v - 74, y = -3*v + 190. Let z be 3*(3 + y\/(-66)). Let u(m) = 6*m + 38. Let t be u(-7). What is the second biggest value in t, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - 2*t**2 - 2*t**2)*(0*t**3 + t**3 - 3*t**3) + (2*t**4 + 1 - 1)*(-41*t - 75*t + 48*t).\nAnswer: -140*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbfbbfbffbfffbbbf. Give prob of sequence fb.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 34b12?\nAnswer: 34b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303736?\nAnswer: 2, 37967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5 - (-1110)\/(-150). Let k be 3 - (0 - 4 - q\/1). Put -19, 3, k, 5 in ascending order.\nAnswer: -19, k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 423629041 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0764308 and 33.\nAnswer: 2.5222164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (9 + -11)) + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.6 - 3.2. Let l = a + 8. Let f = l - 0.1999775. What is f rounded to 6 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*a**2 + 125 + 29*a**2 + 19*a**2 + 0*a**2 + 18*a**2.\nAnswer: 91*a**2 + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1.2. Let r = 9385\/6254 + -2\/3127. Which is the third smallest value? (a) 3 (b) r (c) m (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 2 - (-346)\/40. Let h be -3*(-1 - -5 - (-243)\/(-60)). Let z = h - a. Which is bigger: -7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/33 and -113\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 5. Let z(l) be the first derivative of -l**3 - l**2\/2 - 9*l - 6. Let g(m) = 5*q(m) + 3*z(m). Let n be g(3). Put n, 2, 1 in descending order.\nAnswer: 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124024044 (base 7) in base 14?\nAnswer: -1094c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 542 divided by 2\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215 + 1052. What are the prime factors of z?\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -482.847552 and -226?\nAnswer: 256.847552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*z**4 - 56*z**3 - 273*z**2.\nAnswer: -72*z - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = -6*b + 214 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -2*i + 486. Is i a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*y**2\/11 - 307967652*y\/11 + 3951836444933046\/11.\nAnswer: 6*(y - 25663971)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*o = -6*p + 18, 4*p + 2 = -5*o. Let h be (-2 + -1)\/(9\/(-72)). Suppose 0 = -0*b - p*b + h. Solve -4*s + 43 = -5*v + b, -3 = v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**5 + 49*a**2 - 27*a + 3?\nAnswer: 20*a**3 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llnlpjjnnjpnn. What is prob of picking 3 l?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 4, u: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179 divided by 57236?\nAnswer: 1179\/57236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 34870*z + 488003. Determine g(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, -50 in descending order.\nAnswer: 1, -0.3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 1036.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 5*h**2 + 50*h + 6. Let f(t) = -4*t**3 - 11*t**2 + 98*t + 13. Calculate 4*f(s) - 9*x(s).\nAnswer: 2*s**3 + s**2 - 58*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3030 - -12582. Is l a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/8 + (12103\/(-104))\/(-19). Let s be (-28)\/84 - (-4160)\/r. Calculate the greatest common factor of s and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248625 rounded to the nearest one thousand?\nAnswer: 249000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*861\/820*(-16)\/(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -83*o + 40 - 48 - 38*o - 94 - 20. Let z(f) = 121*f + 122. Let p(v) = 4*g(v) + 5*z(v). Differentiate p(l) with respect to l.\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*w = -193*w - 54. Suppose w*o = 3708 + 5172. What are the prime factors of o?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4245379?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d, 75*s - 2*d = 70*s + 10761. Is s a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -54*d + 692. Determine o(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*c + 1 - 4*c**2 + 16*c + 89 - c**2.\nAnswer: -5*(c - 2)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 280629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - -0.4. Let j = x - 2. Let f = 41\/2 - 20. Which is the closest to 2? (a) j (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/1*(-1)\/22. Let x = 6\/7 - 44\/35. Let z = -0.4 - -1.4. What is the nearest to y in 3, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*p + 22 = 3*p, 0 = -5*j - 3*p + 37. Suppose 0 = j*m - 4*x - 233, -x + 43 = m - 3*x. What is m rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.33337 millennia in years?\nAnswer: 68333.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 6*v + 47. Let z be p(-10). Let s be ((-22)\/(-55))\/(2\/10) + 1. Calculate the highest common divisor of s and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**3 - 8*x**2 - 2. Give f(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -10\/7 (c) -46 (d) -0.5 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 12*b**2 - 5*b - 16. Does 68 divide d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (329 + 458 - 655)*(2*w + 3 - 3) + 1 - 1 - 2*w + (-2*w + 2*w - w)*(-3 + 3 - 1).\nAnswer: 263*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*c + 28, -5*j + c = 4 - 29. Suppose 0*k + 3 = -t + 3*k, 4*t = 2*k - 12. What is the nearest to -1 in 5, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224)\/140*60\/8*(-8)\/400?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7*i = -294. Does 25 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 19*p - 5 = b, 5*b = -10. Solve s = p*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**1)\/w)**34\/(w**8\/(w\/(w*w\/w**8)))*(w*w**(-8)*w*(w\/w**(-3\/4)*w)\/w)\/(w**4\/(w**0\/w*w)) assuming w is positive.\nAnswer: w**(235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 81185403 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122688273?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 2, m: 4, f: 1}. What is prob of sequence tf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (540\/72)\/((-45)\/(-60))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5066 is divided by 2440?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -594 divided by -2.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.3073 to 0 dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 21*i + 232. Calculate l(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -436314 + 138?\nAnswer: -436176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71977.\nAnswer: 167, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1398*h - 11279. What is j(8)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o + 157*o**2 - 13*o - 8*o + 33*o.\nAnswer: 157*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 11*t**2 + 11*t - 10. Let n be q(-12). Let p(v) = 92*v - 1 + 0 + 0 + n. Is p(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and 1269070504?\nAnswer: 1269070511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3167810*m**3*u + 782344*m**3 wrt u.\nAnswer: 3167810*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 766474 a multiple of 314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79532 and 43011.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1751*c - 17 + 877*c + 6 + 2*c**2 + 878*c. What are the prime factors of g(-14)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53368017 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2. Suppose 4*b + 18 = 2. Let i be b\/(-3)*(-12)\/(-8). Let k(h) = 2*h**2 - 5*h**2 + h**i. Determine k(n(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 + 9*a**3 + 13*a**3 - 26*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.367 * -4325.\nAnswer: -31862.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196506?\nAnswer: 2, 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -623 - -1056. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:23 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.179511985 - -0.1795. What is u rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -38. Let l = -11 - u. What is the greatest common factor of l and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45726334 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12bb (base 12) to base 7.\nAnswer: -6203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34475 and 126700?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -71 (b) 5 (c) 0.3 (d) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 5:57 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 4. Let g be x(-5). What is the units digit of (-2)\/(-7) - (-150)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 4. Let a be v(-6). Suppose a*j = -0*j + 4. Put j, -3, -1 in decreasing order.\nAnswer: j, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1875 - 1287. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57720 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: Let b(o) = 359 - 358 - 10*o**2 + 37*o**2. Let d(j) = j**2. What is d(b(q))?\nAnswer: 729*q**4 + 54*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*y + 1384, 2*h - 6*y + y + 1375 = 0. Let t = 924 + h. Is 39 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2925.1 + 5.\nAnswer: 2930.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2904) + 1*sqrt(2904))*-4*1)\/(-3*-4*(sqrt(12) + (sqrt(12) - (sqrt(1452) - (sqrt(1452)*-2 + sqrt(1452) - sqrt(1452)) - sqrt(1452))))).\nAnswer: 11*sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3780 and 4\/135?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1761, -1754, -1743, -1728?\n\"Answer: 2*j**2 + j - 1764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)*d*d\/(d\/(d*d**(2\/3))*d))\/(d*d**0)**(-14\/3))\/((d**5\/((d\/((d\/(d*d*d\/(d\/(d\/d**(4\/11))*d))*d)\/d)*d)\/d))\/(d**(-1)*d*d**3)) assuming d is positive.\nAnswer: d**(208\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -31. Calculate the remainder when 22 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b**2 + 2*b + (-2*b + 0 + 0)*(0*b + b + b))*(-11*b + 38*b - 16*b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/31 in -0.3, 2\/23, 1\/2, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 12:42 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -6794.\nAnswer: -6794.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29580 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.122*0.06\nAnswer: 0.00732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 405, 672, 941, 1212, 1485, 1760?\n\"Answer: o**2 + 264*o + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**7*t)\/((t*t*t**(-8))\/t))\/(t**(1\/5))**(2\/13))**(-7\/3) assuming t is positive.\nAnswer: t**(-2422\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (33 - 30)) + (-496)\/(-55) + 46\/253\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12479 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.088978852 to 4 decimal places.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/19 - 2)*5258\/52580.\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -574.34 and -7.3.\nAnswer: -581.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 11:32 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70\/318193 + 71728658285\/5727474. Let o = 12531 - f. What is the common denominator of -25\/12 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 48*b**2 - 108*b + 56.\nAnswer: 4*(b - 1)**2*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21297.69 kilometers to nanometers.\nAnswer: 21297690000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187415?\nAnswer: 5, 37483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + (11 - 10) + -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/((-22)\/(704\/(-168)))*(-14)\/4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160564429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-2))\/((5 + -6)\/1). Let u = -422\/5 + 1940\/23. Which is greater: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/9 + 6079660*d**2\/9 - 12159308*d\/9 + 6079652\/9.\nAnswer: -4*(d - 1519913)*(d - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 5*a + 275. Let j = -23 - a. Suppose -9*m + 10*m - j = 0. What is the remainder when m is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3828394935.\nAnswer: 3, 5, 641, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.08 + 17. Let m(t) = -t**3 - 5*t**2 - 3*t + 8. Let w be m(-4). What is the nearest to q in 0, 2, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/59633 greater than or equal to -3\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 22, 41, 78, 139, 230, 357, 526?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 71*l**2 - 167*l + 48. Give t(-33).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 8893150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Suppose 0 = -4*m - d + 15, -9 - 1 = -5*m - 3*d. Suppose -m = t*a - 0. Let b(f) = -8*f**3 + f**2. Give b(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9301 - 19264 - 34643 + 21374 - 26271)*(-3*r**2 + 3*r**2 - r**3) as t + q*r**2 + b*r + f*r**3 and give f.\nAnswer: 68105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j + 15 = 5*k, 9 = 3*k + j. Suppose -7*d + 18 = -2*d - 4*n, k*d = n + 8. Suppose h - 2 = d. Solve -4*c - 2 = h*g + 2, 5*g + 1 = -4*c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1357 (b) -0.1 (c) 37 (d) 3\/14 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1856, -1767, -1748, -1835, -2064?\n\"Answer: -6*b**3 + b**2 + 128*b - 1979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5*t - 7610, -5*t - 3090 - 1478 = -3*l. Let w(p) = 61*p**2 - 5*p + 35. Let b be w(4). Let s = l - b. What is s rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1)*-4*((-1665)\/(-108))\/37\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.08, -7, 2, 4, -167?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)*-1*6)\/(2*sqrt(11)*-2 - sqrt(11) - sqrt(11)))\/(4*(sqrt(245) + sqrt(245)*-2) - (1*sqrt(245)*-3 + sqrt(245) + sqrt(245))).\nAnswer: -sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 5*t**2 - 3*t. Let f be k(-5). Let c = f - 22. Let g = 17 + c. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -g - 4*g. Let o = 35 - -12. What is the remainder when o is divided by (g\/(-1) - 3) + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 599 - 598. Sort u, -0.6, 12 in descending order.\nAnswer: 12, u, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 6 - (15 - 20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287688?\nAnswer: 2, 3, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -1589*s**5\/5 + 45*s**4\/4 - 5*s**3\/3 - 143*s - 2. Find the third derivative of f(a) wrt a.\nAnswer: -38136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**3 + 4834*c**2*o**2 + c*o**2 - 1050*c + 3*o**2 + 1 wrt c.\nAnswer: -18*c + 9668*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 9:35 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2685*n = -32073 + 211968 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.55278871 rounded to 3 dps?\nAnswer: 4.553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n**3 - 27*n**2 + 12101*n + 9. Let g(x) = x**3 + 3*x**2 - 3*x - 1. Calculate -9*g(s) - h(s).\nAnswer: -s**3 - 12074*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 46. Calculate the greatest common factor of m and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*q + 18 + 2, 5*n + 3*q = 29. Suppose -5*x + 3*b + 12 = 0, 2*x + b = 6*b + 20. Which is smaller: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16993.34273 rounded to the nearest one hundred?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 0.4 (c) -0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-8)\/2))\/5*24\/(-24).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16250 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + (-18 - (-76 + 56))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 942506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 16*z = -3*b + 86270, 114952 = 4*b - 4*z. List the prime factors of b.\nAnswer: 5, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -535 + 6*x**3 + 8*x**3 - 3*x**2 + 536 + 75*x**4 - 12*x**3 in the form n*x**3 + d*x + h + t*x**4 + a*x**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, u: 2, i: 1, m: 2, t: 3, h: 1}. Give prob of picking 1 u and 1 m.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 8*b - 11. Find the second derivative of -9*i + b*i**4 + 3*i**4 - 15*i**4 wrt i.\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a082b (base 15) to base 12\nAnswer: -20604b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -39\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*t**2 + 102*t**2 + 8*t**3 - 29*t**3 - 14*t**3 wrt t?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13 - 3) + (16 - 7) - -52) + -7?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -502 (b) 0.03 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 12 + 50 + 17*a**2 + 31.\nAnswer: 15*a**2 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -120.9 and -0.049486.\nAnswer: 5.9828574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 312586*l - 406*l**2 - 312586*l to s + w*l**2 + b*l and give w.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*2 + sqrt(132) + sqrt(132))*5)\/(sqrt(108)\/sqrt(81)))**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129651757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 5*v + v + (2 + 4 - 1)*(3 + 0 + 7)*(-15*v - 17*v + 4*v).\nAnswer: -1402*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3585.718m?\nAnswer: 3585718000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4231, 18\/5, -3, 1, -4, 5 in increasing order.\nAnswer: -4231, -5, -4, -3, 1, 18\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 + 53*y**2 + 29*y - 58. Let h be o(27). Let m(p) = -450*p**3 - 165. Let k(q) = -11*q**3 - 4. Calculate h*m(x) + 165*k(x).\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/(((-567)\/(-135))\/(1*(-54)\/240)).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 221*n - 9 + 2 - 1 + 30*n in the form u*n + p and give u.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j - 41400 = 17*j + 7*j. Sort j, 3\/5, 7 in decreasing order.\nAnswer: 7, 3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o = 19*o + 15. Suppose 3*f = 4*x + 40, -40 = -4*f - 3*x + o*x. Solve 2*m - 14 = 4*v, -3*v + 23 = -3*m - f*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5057)\/(-778)*(-68)\/(-26)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, 7709, 5, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23553\/11 + 2141. Put 0.5, 15.4, f in increasing order.\nAnswer: f, 0.5, 15.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(847)*-2 - sqrt(847))*-5 - sqrt(847) - (sqrt(847) + 1)*-2)**2 + -2.\nAnswer: -867346 - 2816*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 + n**2 + 180*n - 3*n**3 + 59*n - 242*n - 37 to b*n**4 + w*n + d*n**2 + y*n**3 + r and give r.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5754 + -15347. Is -9593 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*y = 139*y + 27. Let m(d) = -12*d - 322. Let f be m(y). Solve 0 = -p - 3*q + 13, -f*q + 11 = 4*p - 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 94401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4831946 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -3*h - 9, 0*q = q + 4*h + 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1323 - 236. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 16, q: 4}. What is prob of sequence dq?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -516\nAnswer: 4\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1)*(248 + (-371735)\/1482)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 11. Let j(q) = -7*q + 51*q**u - 7 - 51*q**2 + q**3. Is j(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.081, -4, 1\/9, 4.\nAnswer: -4, -1\/6, 0.081, 1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 4*t + t)*(-4 + 2*t**4 + 4) + 2*t**5 - 5*t**5 + 2*t**5 + (-t**4 + 4 - 4)*(3*t + t - 6*t) + (6*t**4 - 4*t**4 + 5*t**4)*(0*t + 0*t + 2*t).\nAnswer: 11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 10*c**2 + 22*c + 1. Let r be u(12). Suppose -m + 0 = 8. Let j = m - r. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -6*n**3\/11 + 502*n**2\/11 + 3364*n\/11 + 5040\/11 = 0.\nAnswer: -4, -7\/3, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 + 9*m - 6. Let t(j) be the second derivative of -j**4\/6 + 4*j**3\/3 - 5*j**2\/2 - 29*j - 2. Determine 3*h(a) - 4*t(a).\nAnswer: -a**2 - 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-16 + -4) - (1 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*m - 268 = 0, -2*p + 3*m = p - 204. Let l = p + -42. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**4\/24 + 7*a**3\/3 - a**2 + 317. What is w(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 898 - 924 = 5*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*s - 5*p, -s = -2*p + 38 - 48 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282239?\nAnswer: 282239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*k + 6*y - y, 6 = 2*k + 2*y. Suppose w = 5*h - 123, 4*w = h - 23 + k. Solve -3*n = 5*a + 2*n - h, n - 3 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (28 - 8)) + (2 - (-16 + 27 + -7))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3126883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 19*i**2 + 2*i - 33. What is z(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 171*a - 15 + 15. Let p be t(1). Suppose -p = -5*j - 36. What is the remainder when j is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a8dd + -3?\nAnswer: 4a8da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 41 = 2*c. Let k(q) = 5*q**3 + q - 1. Let d be k(1). Suppose -d*r + 8 = 2*z - r, 0 = 4*r - 8. Which is smaller: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 - 0.9. Let p = a + 14. Let n = p - 12.00004. Round n to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -110010100?\nAnswer: 110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 3*r - 7. Let o(q) be the third derivative of q**5\/60 - q**4\/24 - q**3\/6 + 4*q**2. Let y be o(3). Does 3 divide w(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5900 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 4.76. Let f = -0.24034 - w. What is f rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 0*p + 2*p - p. Suppose 2876*n + 84 = 2890*n. Let q(v) = -v. Let c(f) = n*h(f) + 7*q(f). Let u(i) = -6*i**2. Determine u(c(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-7 - -2)\/1)*1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.2 (c) 8 (d) -5 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 123*o**2 + 132*o + 13297. What is q(121)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 51*h - 112. Give d(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -28. Suppose i + 0*i + g = s, 0 = g - 5. What is the greatest common factor of 36 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 18 (c) -43 (d) 3\/22 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - -1)*-5*(-24)\/90. Let f(v) = 12*v + 45. Let x be f(m). Let a = -41 - x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14242 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67.04 + -172.01. What is r rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/44871024 and 38\/58893219?\nAnswer: 942291504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12605717011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 53 = -4*o - 58 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.98107 + -0.01893. Are 151 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1008 = -7*x - 11*x. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 4. Let h be j(-4). Let k = 24 + h. Solve -v + k = -2*l, v + 0*l - 6 = l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6793\/1953 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 2:16 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -20*v + 56. What is w(4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.614 + -0.386. What is the fourth biggest value in q, 4\/9, 18, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -290*d - 312*d + 600*d - 125 + 17. Let r(t) = -2*t**2. Calculate r(n(v)).\nAnswer: -8*v**2 - 864*v - 23328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*k**2 + 0 + 0*k + 1\/2*k**3.\nAnswer: k**2*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:09 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -502*m - 1056*m**2 + 1 + 209*m - 1062*m**2 + 2119*m**2 + m**3 to v + o*m + k*m**3 + l*m**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/9 and 29\/630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcbcjjkbby. Give prob of picking 1 b and 1 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 11448599.73 to the nearest 100000.\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12703*q**2 + 1274*q**2 - 353*q**2.\nAnswer: 13624*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -459 - -993. Let m = g + -523.03. Let n = m - 11. Round n to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03 and -13518.\nAnswer: -13518.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01299 - -0.08701. Put h, -0.2, 5 in increasing order.\nAnswer: -0.2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/10, -17, 2, -0.05, 0, 1\/3, 3\/26?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102\/56929 or -59\/4?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*b + 64*b + 31*b - 23*b - 2*b.\nAnswer: 99*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6563 (base 7) to base 8\nAnswer: 4454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*z = -71*z + 17. Suppose -32 = -18*f + z*f. Suppose 0 = -7*a + 9*a - f. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 202057 and 387?\nAnswer: 1818513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 839781 and 18297.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7)\/(28\/(-8)) + (-3 - -60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756*i = 758*i + 34. Let n be (0\/(-1))\/(6 + (i - -12)). Which is the nearest to n? (a) -2 (b) -0.29 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/6*8\/(-6). Let v(m) = -m - 2. Let b = -1 + 3. Let g(u) = -3 + 2 - b*u - 3. Give o*g(a) + 5*v(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.086098723 + 0.0861. What is s rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40737331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 6:55 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 5, 1\/3, -7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -50. Calculate the lowest common multiple of 12 and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 445662168 to the power of 1\/3, to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103548665 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78234*b**4 + 22*b**3 - 1346095*b**2 - b wrt b?\nAnswer: 1877616*b + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/22 and (-1 - 0)\/((-720)\/774).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*d + 33 = 3531 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-260)*((-1925)\/(-22))\/35.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -271 - -269.01. Let q = u - 0.01. Let p be -5*1*(11 - 10). What is the closest to -1\/3 in q, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 612496 divided by -2.\nAnswer: -306248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 1395*c - 101 = -1392*c, 6*c + 81 = 3*d + 3*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24032417.\nAnswer: 1627, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14420)\/(-8) + (-1)\/2.\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 6 = -3*d. Suppose -9*c - 2*c + 55 = 0. Suppose -6*f = -4*f + c*j + 3, f - 3*j = 26. What is the smallest common multiple of f and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00111746 rounded to five dps?\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -1\/10*b**5 + 0 + 150*b + 2*b**2 - 1\/3*b**4 + 1\/3*b**3. Find k such that x(k) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*b - 188*b = -10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 9. Let v be u(-3). Suppose -2*h - v = -4*k, -1 - 8 = -h - k. Which is greater: h or 9\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 1, l: 4, k: 1, o: 3, q: 6}. Give prob of sequence lb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*k + 54 = 0, 3*y + k + 6286 = 6299 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 - 177. Let r = 48 + j. Sort 0, 0.1, r, 9\/2 in decreasing order.\nAnswer: 9\/2, 0.1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-1))\/(2\/10). Let f be -6*g\/(-1)*1. Let w be 2 + 4 + 14*10\/35. Calculate the greatest common divisor of f and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281362?\nAnswer: 2, 140681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 4*y - 4. Let w be v(-3). Let f be (-7 - w)*(-640)\/(-3). Let s be (-26875)\/(1*(-2)\/f). Round s to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477478*k + 954958*k - 477480*k - 6*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795423867?\nAnswer: 3, 7, 181, 209267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 2:23 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - -1 - -3*1. Suppose -2*b = 5*f - p - 22, -54 = -3*b - 3*f. Calculate the common denominator of -49\/8 and ((-14)\/3)\/(b\/9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 520756.902 to the nearest one hundred.\nAnswer: 520800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5*p**16)\/(p*p**2*p*p**16) assuming p is positive.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 1. Let i(m) = -13*m - 3. Let r(s) = s - 1. Let g(f) = i(f) + 2*r(f). Let x(w) = -5*b(w) - g(w). Let j(d) = 20*d**2. Give j(x(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -26\/27, 3, -5, -3?\nAnswer: -26\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d**3 + 6*d**2 + 27*d + 3. Let f(q) = 8*q**3 - 6*q**2 - 33*q - 2. Calculate 4*f(p) + 5*i(p).\nAnswer: -8*p**3 + 6*p**2 + 3*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 505\/2 or 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 29. Let j(o) = o - 28. Determine 5*f(v) - 4*j(v).\nAnswer: v - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 776768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2577 and 185327532.\nAnswer: 2577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-35)*-21)\/(-8)*(-40)\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -16. Let u = 7 + w. Suppose -9 - 3 = -4*a. Which is smaller: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 8 = -2*b, 5*k - 9 = 119*b - 122*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (3 - -13)) + 8 + 0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z**4 - 2*z**2 + 2*z + 49. Let f(l) = 25*l**4 + l**3 - 5*l**2 + 5*l + 97. Let k(w) = 2*f(w) - 5*p(w). Find the first derivative of k(g) wrt g.\nAnswer: -40*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -23*f. Let c(q) = -1026672*q. Calculate c(x(l)).\nAnswer: 23613456*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000127025397 rounded to six decimal places?\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 4:38 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 55? (a) -2 (b) -0.1 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -30. Let v(i) = 16*i + 11. Let x(t) = 3*t + 2. What is f*v(d) - 22*x(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.134, -1, -86338, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 4*r**2 + r. Let x(v) = v**2. Let w be 0\/2 + 0\/1. Suppose -4*i - 15 = c, i + 5*c = -w*i + 1. Give i*x(k) - h(k).\nAnswer: k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 2. Let p be a(5). Let t be p\/3 + -6 + 5. Which is greater: t or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 10220201221?\nAnswer: 10220201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1296 (base 11) to base 4.\nAnswer: -122032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-14))\/(-6 - (-14 + 4 + 7))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 m when three letters picked without replacement from {m: 1, l: 2, f: 1, s: 1, x: 1, y: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 383 - 93. Let y = f + 41. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 t when three letters picked without replacement from vcctacctccct.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1894566, 3789073, 5683580, 7578087, 9472594?\nAnswer: 11367101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*b + 134*b - 1900 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*y = 2*a - 34, 5*a - 4*y = 84. Suppose -a = -4*q + 16. Solve 0 = v - 2*w - 2, 0 = 4*v - w - q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -853 minus -0.283079?\nAnswer: -852.716921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 894 and 1490?\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csa when three letters picked without replacement from wwwccaaacscwwwsaaw.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 46199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0\/(-3) + 4\/(12\/195)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 17 = 3*z, -9*z + 5*z = -16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 22*b + 24. What is the tens digit of x(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 539104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1766\/(-22) - (-357)\/(498729\/(-1016))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 367167 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125 - -305. Calculate the highest common factor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -65, -55?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 18. Let u = -70 + 62. Let d(t) = -t**3 - 9*t**2 - 7*t + 10. Let y be d(u). Solve -m = 2*z - 0 - y, 0 = -q*z - 2*m + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + a + 324. Calculate t(-15).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 + x - 5. Let w(f) = 2*f**2 + 4. Let z(j) = 3*j**2 + 7. Let c(d) = -5*w(d) + 3*z(d). What is -5*c(q) - g(q)?\nAnswer: q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 990632.4 decades to years.\nAnswer: 9906324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1847*z**2 + 123*z + 19965163?\nAnswer: -3694*z + 123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 8:22 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, -66, -137, -236, -363?\n\"Answer: -14*o**2 - o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/20 - 7*c**3\/6 - 11*c. Let u(i) be the second derivative of p(i). Let n(z) = 39 - 15 - 24 + z. Calculate u(n(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 599b93a?\nAnswer: -599b938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/20 + (-122)\/(-10). Suppose 0*h + r = 3*h. Solve 2*p - h = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/4 (b) 0.2 (c) 1\/8 (d) 2\/947 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 16. Let f be -1*(-5 - -3 - -1). Is (s\/(-12))\/(f\/(-166)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 6*u**2 + 4*u. Let y be q(-5). Suppose -o = -3*k - 15, 10*o - 3*k = y*o + 27. Suppose -61 = -o*a + 5*l, 5*a + 3*l = 19 + 60. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6 + 2 = 3*d, -2*r + 16 = -d. Solve 2*s - r*s + 25 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022 + -11?\nAnswer: 12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83149215.\nAnswer: 3, 5, 2063, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 + 1 = 0. Suppose -2*p - 10 = -y, -21 = -3*y - 0*p - 3*p. Suppose 0 = -3*q - 9, 5*z - s*q + y = 69. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/((-52)\/3369) - 4\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x**2 - 2*x - 2. Let h be n(-2). Suppose 0 = 4*q + 3*q + 385. Let b = h - q. Is b at least 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*v**5 - 10760*v**4 + 38795*v**3 + 21410*v**2 + 2760*v = 0. Calculate v.\nAnswer: -138, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 - 3*o**2 + 2*o + 4. Give t(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255090886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/17))**(14\/9)*(((y*y**(8\/5))\/y)\/y)\/(y\/(y*y\/(y*y**42))) assuming y is positive.\nAnswer: y**(-10417\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 10:31 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1394000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 - -3 - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/252*15*-14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttnst. What is prob of sequence tt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -0.2312.\nAnswer: 0.1688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 301 - 297. Solve 2*k + 6 = n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 3*g**2 + 2*g**2 + 1. Let i(r) be the first derivative of -2*r**3\/3 - 4*r + 125. Calculate -i(q) - 4*v(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 + -3518.5055004.\nAnswer: -3518.5155004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*((-11)\/(-3) - 3). Suppose -3*g - 3*t + 9 = 0, 0 = -t - 1 + b. Is 11 a factor of (-2 - 41)\/(1 - g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 188256206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -440130 * 5.\nAnswer: -2200650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/20)*j**(-4\/17))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 3, 5, 9?\n\"Answer: z**2 - 3*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*b, y + 6*b = 2*b - 17. Suppose 5*n = p + 18, y*p + n - 33 = -p. Let k = 9 - p. What is the smallest common multiple of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/25)\/(58\/(-1537)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 918277 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116.09 + -114.09. What is the closest to -1 in 2\/5, 0.085, t, -3?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajjjaaquqrd. What is prob of sequence dqrj?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 - (-226)\/(-8). Let y = i - -80. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 189*j**2 - 56*j + 56. Let b(p) = -12*p**2 + 5*p - 3. Let o(l) = -13*l**2 + 6*l - 3. Let a(t) = -3*b(t) + 2*o(t). Calculate 56*a(w) - 3*q(w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.561942 millimeters in kilometers?\nAnswer: 0.000004561942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8621, -17237, -25851, -34463, -43073, -51681?\n\"Answer: q**2 - 8619*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + 53421420?\nAnswer: 53421442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z - 783 = -20*z + q, 0 = -3*q. What is the remainder when z is divided by 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*f = -167*f + 350*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/2 - (-338)\/(-2002)*-7. Let h be (-1)\/((-2)\/(-4)*-2). What is the nearest to h in a, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1110532, 1110413, 1110290, 1110163, 1110032, 1109897, 1109758?\nAnswer: 1109615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 3, o: 1, d: 1, v: 1}. What is prob of picking 1 o and 2 f?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5911048 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 32.2. What is y rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 + 136. Suppose -o*l = -30*l. Let h = 0 - -2. Solve -h*a - 10 = -l*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6831*p**2 - 6839*p**2 - 1 - 6859*p**2 + 20588*p**2.\nAnswer: 59*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**8)\/(a\/a**(-2\/9))*a\/(a\/(a**4\/a))*a*a*a*(a*a**(-2\/17))\/a assuming a is positive.\nAnswer: a**(-358\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 14260963\nAnswer: -21\/14260963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h - 211. Give n(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 51*c**2 + 214*c + 330. Let l be x(55). Let n = -9 + 18. Solve l = -n*h + 10*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/13 and -74\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f + 5. Let o(v) = 8*v + 6. Suppose 0 = -2*d - 3*d - 20. Let k be (2\/d)\/((-1)\/56). Suppose 2*n = 6*n - k. Give n*t(w) - 6*o(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 != 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (-2)\/((-4)\/(-13678)). Let z = b + 40891\/6. What is the common denominator of 41\/54 and z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1232)\/(-80) + ((-3)\/(-5) - 0). Let b(l) be the first derivative of -1 - 16*l + l**4 + f*l**2 - 20\/3*l**3. Find j such that b(j) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 3. Let o be f(1). Calculate the highest common factor of 12 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-85) + (-186)\/(-136). Put 1\/2, w, 3 in ascending order.\nAnswer: 1\/2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 727 - 736 = 9*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/15)\/((-1)\/1)*1. Let h(n) = -n**2 - n + 4. Let f(p) = -5*p**2 + 153*p - 4. Let y(v) = o*h(v) + f(v). What is the second derivative of y(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 89*y**2 - 79*y + 991. Give s(-90).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 18 = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 492, 987, 1482, 1977, 2472?\n\"Answer: 495*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30*(-10)\/600)\/((-3)\/(-76)*14\/(-21))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 4*h**4 - h**2\/2 + 2*h. Calculate the remainder when j(1) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 653\/6 - 1297\/12. Factor 3\/4*z**3 + 1\/2*z**2 - 1\/2 - w*z.\nAnswer: (z - 1)*(z + 1)*(3*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 24 = -4*l. Suppose 3*u + l*u = 656. What is the remainder when u is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f - 8. Suppose -5*k - 18 + 33 = 0. Let m be w(k). Let b be 2*(1\/m)\/1. Solve 3*a + 2 = b*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 10:01 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4067? (a) -2\/47 (b) 1\/3 (c) 0.07 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**2 + s. Let v be l(-2). What is the highest common factor of v and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**6\/210 + h**5\/28 + 13*h**4\/84 + h**3\/6 + 88*h. Factor t(a).\nAnswer: -a*(a - 7)*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 10*z + 2. Let i be f(-5). Solve -i*s + 5*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.245, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**4 + r + 2*r**4 - 4*r + (2*r**2 - 4*r**2 - r**2)*(r**2 + 0*r**2 + 2*r**2).\nAnswer: -7*r**4 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 - 81\/(-6))\/((-1)\/(-10)). Solve -15 + 20 = -r*i, -4 = q + 3*i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z + 2. Suppose -7*b - 2 = -9. Let u(k) = -2*k**3 - 13*k**2 - 8*k - 7. Let l be u(-6). Let x(a) = -1. What is b*y(v) + l*x(v)?\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 58 = -1. Let d = 732 + b. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 13. Suppose 0 = a*s - 44 - 61. Let c = s - 22. What is the remainder when 49 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-168)*15\/(-450)*35\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1875 and 129.\nAnswer: 80625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -0 + 8 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*i - 34, t = 4*i - 98 + 97. Let g(v) = -v - 8. Calculate g(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -105*f**2 - 21*f - 21. Determine x(-1).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2552143 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4113561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11368*i**4*v + 183*i*v - i - 9*v - 1 wrt i.\nAnswer: -136416*i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 3. Let c = 493249 + -492336. Calculate the greatest common divisor of s and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102110 (base 3) in base 9?\nAnswer: -2373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1663104459, -1663104460, -1663104461, -1663104462, -1663104463, -1663104464?\nAnswer: -1663104465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3692*o - 2 - 1947*o - 2002*o to the form t*o + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 762 = h, -x - 4*h + 1165 = 2*x. Suppose v + j - x = 0, j + 0*j - 2 = 0. Suppose -5*d = -8*d + v. List the prime factors of d.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1773, -90, 5 in decreasing order.\nAnswer: 1773, 5, -1, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 207 and 1472.\nAnswer: 13248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, 5, -786, 60 in descending order.\nAnswer: 177, 60, 5, -786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/231)\/((-36)\/33)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10885, 10892, 10911, 10948, 11009, 11100?\nAnswer: 11227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(240) + sqrt(240)*-1))\/((-6*(sqrt(5) - sqrt(5)*-2) - sqrt(5))*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6b (base 12) to base 5\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 1, q: 1, j: 3, f: 3}. Give prob of picking 1 f and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 70*d**2 - 7*d + 7. Let h(p) be the first derivative of 23*p**3\/3 - p**2 + 2*p - 4090. Calculate -14*h(c) + 4*q(c).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 3*d + 2*d + (-6076 + 15287 + 9437)*(-1 + 1 - d).\nAnswer: -18647*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14 + -2 - -3)\/((-6)\/(-48)*3). Solve 23*v + 29 = -w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965 is divided by 331.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3343, 6696, 10043, 13378, 16695?\nAnswer: 19988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**4\/4 + 13*g**3 + 121*g**2. What is the lowest common multiple of 90 and h(-4)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2\/5 + 8415*a - 1001160 = 0. What is a?\nAnswer: 120, 13905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 11:50 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 130584?\nAnswer: -1\/43528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 106 = 35*z. Let n(x) be the first derivative of 1\/3*x**3 + 0*x**2 - z*x + 4. Calculate n(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/18 - (-1926)\/1928. Is c >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -12a?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 5470953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z + d = 11, 5*z = -3*d + 12. Suppose 2*j - 13 = -y, -5*y = -2*y - z*j - 12. Solve 0 = n + m - 3*m - y, 2*m + 25 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -6934*b**2 + 4*b = 0.\nAnswer: 0, 2\/3467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w - 337. What is t(-35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 7:21 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 3 + 4*m - 2*m**2 - 2*m. Suppose 11*s = 10*s + 3. Give f(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111445 + -21?\nAnswer: -111510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6520 = -711*j + 715*j. Is j a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -227 + 6*m + 227 as a*m + k and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/20*9*-2)\/(79\/(18960\/(-3420)))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 23896463*r**2 - 47792929*r + 23896465.\nAnswer: (r - 1)**2*(r + 23896465)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2 + 3 = 0. Let g be 17 + (8\/(-4) - n). Suppose -5*m - 4 = -g. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) - (sqrt(176) - sqrt(176)*-2))\/sqrt(8) - sqrt(550)*3)\/(-3*sqrt(22)\/(sqrt(14)\/sqrt(7))))**2.\nAnswer: 578\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 33. Let l = h + 10. Let p be 1 + l - (-6)\/2. Solve 5*q - 4*i - 41 = 0, q - p - 24 = 5*i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**3 + 2*t**2 - 3*t. Let y(k) = k**3 + k**2 - 1. What is -j(z) + 2*y(z)?\nAnswer: -2*z**3 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2652?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -x + 33, x + 18 = 3*x - 4*l. Let t be x + -1 + 0\/(-1). Let y(g) = -2*g - 6. Let z be y(-5). Calculate the greatest common factor of t and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65089\/64 - -1017. What is the second biggest value in -5, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**4 + 3*n**4 + 0*n**4 + (0*n**2 + 0*n**2 + 2*n**2)*(-2 + 2*n**2 + 2) - n**2 + n**2 - n**4.\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 809552 and 73315053.\nAnswer: 1173040848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/7 (b) 1\/2 (c) -4 (d) 14 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1838*x - 198*x + 552*x to t + j*x and give j.\nAnswer: -1484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - -102444?\nAnswer: 102421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1569708 and 5418.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, and 2 o when four letters picked without replacement from mocbmcm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38036 - 37440. What is the remainder when l is divided by 214?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 32*i + 48. What is o(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.237 to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73341936?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(sqrt(18)\/(3*sqrt(225)) - 6*(-5 + sqrt(2)*-3 + sqrt(2)))**2.\nAnswer: -535369\/225 - 1448*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110774.\nAnswer: 2, 3, 7, 53, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 10*q - 2*q + (-1 + 0 - 2*q + 0)*(3 + 0 - 2))*(2*q**2 - 21*q - 55*q - 4*q**2).\nAnswer: -12*q**3 - 454*q**2 + 76*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -14080.\nAnswer: 42240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 18 = 3*u, -15*k - 19 = -5*u - 17*k. Let c = 44 + -23. Suppose u*i - 39 - c = 0. What is the greatest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifths of a gram in milligrams?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ieiieviieiiiiiiivi.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 4 + (6 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/10 - 9*j\/10 - 2.\nAnswer: -(j + 4)*(j + 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5002, 5003, 5004, 5005, 5006?\n\"Answer: h + 5001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -3, -11, -5, 29, 27 in descending order.\nAnswer: 29, 27, 5, -3, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*o + 2 = -8, o + 3 = 0. Let x(s) = -4 + 2716*s**2 + 2592*s**k + 726*s**2 + 10*s. Let w be x(-11). Round w to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**5 + 87*s**4 - 17*s**2 + 3*s?\nAnswer: -60*s**2 + 2088*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 5*x + 22 - x**3 + 6*x**2 - 29 + 10*x**2. What is the tens digit of c(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2479?\nAnswer: 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 - 16*i - 3. Let h(w) = -w**2 - w. Let o(n) = b(n) - 4*h(n). Let f(y) = -2 + 5 - 6*y - 4 + 5*y**2. Let d(j) = 13*f(j) - 6*o(j). Give d(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 363, 702, 1063, 1446, 1851, 2278, 2727?\n\"Answer: 11*a**2 + 306*a + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (246\/(-42) + (-1)\/7)*246\/492?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/86 and (120\/(-294))\/((5\/14)\/5*-4)?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2180, -22, 5 in decreasing order.\nAnswer: 2180, 5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 261\/24 - 4\/32*-1. Solve -k + 4*c = -x, 0 = 2*k - k + 2*c - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 66 + 46 - p + 58 - 119.\nAnswer: -p + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/17)*j*(j\/(j\/(j\/(((j*j**(-2\/21)\/j)\/j)\/j*j*j))))\/j*(j**(-2\/5))**(4\/11) assuming j is positive.\nAnswer: j**(20959\/19635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 627359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-27)*2*76\/(-64))\/((-55)\/990)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1480 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 526 = -1546. Suppose 8*m + z - 2494 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 650994, 651128, 651264, 651402, 651542, 651684?\n\"Answer: k**2 + 131*k + 650862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m - 276 - 4. Let c(l) = -2*l - 51. Calculate the remainder when 94 is divided by c(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((2\/(-8))\/1)\/((-1601551)\/800772 - -2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + t**2 + t - 1. Let g(x) = 64*x**3 - 3*x**2 - 3*x + 3. Determine g(o) + 3*z(o).\nAnswer: 61*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2278*r**3 - 1494*r**3 + 2*r + 2650*r**2 - 1336*r**3 wrt r.\nAnswer: -3312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(480) - sqrt(30)) + sqrt(30) + sqrt(60)\/sqrt(32))\/((sqrt(60) + sqrt(120)\/sqrt(2)*2)\/sqrt(10)))**2.\nAnswer: 22445\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.22 + -0.27. Let d = n - 0.95. Put d, -4, -2\/9 in decreasing order.\nAnswer: -2\/9, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207978719.\nAnswer: 13, 23, 695581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 284\/(-142)*26*(-6)\/(-4)*(-8)\/(-24)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*g + 283*g + 140*g - 33*g)*(3*g**2 - 5*g**2 + 3*g**2) to the form a + m*g**3 + o*g + y*g**2 and give m.\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117 is divided by 333?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3325 = 3326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36750 divided by 3.\nAnswer: -12250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - p = -7*b + 600, -3*p + 170 = b. Is b != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -247 + 267. Suppose 5*i + 10 + o = 2*c, 0 = 3*c + i - 11. What is the closest to -18 in 1, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1746*f + 1743*f + 18 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 392851467*t**3 + 512546455 wrt t?\nAnswer: 1178554401*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2 + 2*r + 1 + 0. Let d be w(2). Solve 2*i - 5*i + 3 = 3*v, -2*v + d*i - 13 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {w: 2, x: 7, m: 10, q: 1}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 11:20 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 10 = 0, 3*a + 16 + 2 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + 2. Let w = 45 - 45. Suppose i = 4*i. What is the nearest to w in f, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tara. What is prob of sequence tr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*i**4 - 23*i**4 - 18*i**2 - 3*i**2 wrt i.\nAnswer: -792*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 24 = -4*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 1. Let a(h) = 2. Let b(s) = -a(s) + 2*t(s). Suppose 3*w - 6*w = 0. Suppose 2*i = -w*i + 4. Let o(p) = 1. Calculate i*o(n) - b(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 432, 431, 430, 429?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 179 = 4*x, -126 = -4*p + 2*p + x. What is the smallest common multiple of p and 11?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 14 = 6*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386029 to the power of 1\/2, to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 876 divide 43531987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -19*c + 16. Calculate k(-2).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 253\/55 - (-5)\/(0 + -1). Which is the nearest to u? (a) 1\/3 (b) 1\/2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13452650 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/12*-4*(-358)\/96481.\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/82 and -37\/4?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/6*1)\/(10\/(-120)*-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4676 - -4686. Which is the third biggest value? (a) v (b) 3\/11 (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 55*g**2 - 390*g + 2175. Determine h(-62).\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27524 is divided by 287.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 3:07 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/27 (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -20 + 2. Let z be (-2)\/(-6) - (2 + (-164)\/3). Suppose 5*a - 22 = 5*d + z, 0 = -5*a + d + 63. Calculate the greatest common divisor of a and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -15585, -2, -120, -1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 2*y**2 - 5. Let o be q(3). Let j(i) = i**3 - 3*i**2 - 4*i + 1. Give j(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 366\/4348411?\nAnswer: 366\/4348411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}