diff --git "a/data/dm_maths/full_data_1/186_11255.jsonl" "b/data/dm_maths/full_data_1/186_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/186_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Two letters picked without replacement from pllijiii. What is prob of sequence pi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = -4*i. Suppose 5*q + 369994 = i*v, 0 = q - 3*v + 47506 + 26485. Round q to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/17, 2, -14, -164.67?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - -2) + -625 + 569?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 19948*c + 19948*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 18. Suppose 0*z + z = 16. Find the second derivative of -301*r**2 - z*r + 301*r**2 + 13*r**d wrt r.\nAnswer: 156*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29 - 84 + 139*t**2 + 2*t**3 + 0 wrt t?\nAnswer: 6*t**2 + 278*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -527374*f**3 - 33537*f**2 + 4*f - 13 wrt f?\nAnswer: -3164244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a13 - 5?\nAnswer: a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**2*m**3 + 238*k**2 + 534*m**3 - 5*m**2 + 1 wrt m.\nAnswer: 6*k**2 + 3204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 465 = 2*x + 472, -27*x = 3*j - 21 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20 = -3*x, 4*v - 3*x = -4*x + 16. Suppose -2*o = a - 11, -4*a = -v*o - 0*o - 8. Solve 0 = -0*f - 3*f - d + 8, -2 = -o*f + 2*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4236 + 4240. Solve w*a = 2*j + 2, -j + a - 4*a = -9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 7*l**2 + 10*l - 1. Suppose -o + 2*o + 5 = 0. Let d be b(o). Let y(c) = 6*c**2 - c. Determine y(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((-15)\/3)\/(2 - 1). What is the derivative of 5*h**3 - 7*h**3 + f - 13 wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 2. Let b(l) = -l**3 - 3*l - 2. Is b(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbugzgggzzbueuzdgg. What is prob of sequence deg?\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 12:59 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 21*p**4 + 188*p**3\/3 + 68*p**2 + 32*p - 56. Factor z(f).\nAnswer: 4*(f + 1)*(3*f + 2)*(7*f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11224.\nAnswer: 2, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 12 = -0. Let i be b\/((-2)\/16*-6). What is the first derivative of -i + 4*q**3 + 5*q**4 - 4*q**3 - 2*q**4 wrt q?\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w - 471*w**2 + w + 457*w**2 + 175.\nAnswer: -14*w**2 + 8*w + 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27688101?\nAnswer: 3, 7, 53, 24877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((61\/(-7) - -5) + 4)*14. Determine r, given that 0 + 3\/4*r**5 - 3\/4*r**3 + 0*r + 0*r**a + 0*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 9:07 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 4*j**3 - 23 + j**4 + 19 + 3*j**3 + 3*j to the form m*j**2 + x*j + r + y*j**4 + d*j**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 67. Let a(z) = 3 - j*z + 6*z - 3*z + z. Let c(b) = -2*b - 8. What is -8*a(y) - 3*c(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/60 and (4 - 3352\/840)*(-67)\/(-2).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-5))**(18\/5)*s*s**(-3)\/s*s**0)**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**4\/4 - 4*l**3\/3 - 2*l**2 + 6. Find z, given that r(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b + 4*b - b. Let j(t) be the second derivative of -t**3\/2 + t**2 + 4*t. Let c be j(1). Give l(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82865 and 120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**7)\/a*a*a*a**(-4\/5))**(32\/7)*(a\/(a\/(a**2\/a)))**23*(a*a\/a**(-3\/7)*a)\/a**(-1) assuming a is positive.\nAnswer: a**(32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5\/5 - 66*c**4\/5 - 142*c**3\/5 + 66*c**2\/5 + 28*c = 0.\nAnswer: -2, -1, 0, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -613 (base 9) to base 3.\nAnswer: -200110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(504)*1 - sqrt(504))\/(sqrt(12)\/(sqrt(24)*-1 + sqrt(6) - sqrt(6))).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14202*s + 320032 = -163645 + 36635 - 121038 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 - 10\/(-8). Let f = -3 + 7. Let x = 3.8 - f. Which is smaller: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.75 + -17.198. What is d rounded to 2 decimal places?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**2 + 9. Let t(p) be the third derivative of -1\/30*p**5 + 2\/3*p**3 - 23*p**2 + 0*p**4 + 0*p + 0. What is -3*q(a) + 7*t(a)?\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4662, -4620, -4578, -4536, -4494, -4452?\nAnswer: -4410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 0 + (5 - -17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*p = 5*m - 322, 5*m - 2*p - 406 = 0. Let w = m + -79. Let n(r) be the second derivative of -5*r**3\/6 + r**2\/2 + 2*r. What is n(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/19 (b) 814 (c) -32 (d) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**4\/8 + 2*d**3\/3 - 5*d**2. Let f be x(-3). Let b be (f\/35)\/(10\/(-7)). Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 44.8. Let b = 0.2 + g. What is the biggest value in b, -0.4, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/8)\/((-19)\/(-4) - 5). Solve o*d - 29 + 9 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0882 + 1.0882. Let p = 0.551 - 1.551. Let v = -41 + 25. Which is the third smallest value? (a) 0.4 (b) v (c) p (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {v: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1477 + -500. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.86306886 and -0.4.\nAnswer: 0.345227544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*y + 145 = -232*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -628?\nAnswer: -21\/628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4288021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10100101001 (base 2) to base 7\nAnswer: -3565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 683*r - 4055. Determine c(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.7 + 8.9. What is the third biggest value in -9, -0.5, q?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c - 54*c = -3*g + 5, 3*c - 3 = -3*g. What is the greatest common divisor of g and 1874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 1. Let i(w) = -2*w**2 + 2*w + 6. Let o(m) = -h(m) - i(m). Calculate o(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + (-2 - -4) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23.005663 + 0.02635\nAnswer: 23.032013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476813376.\nAnswer: 2, 3, 13, 37, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3*1*3. Let j be u\/4 + (-59)\/4. Let h be (-10)\/j*6\/(-10). Which is bigger: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*b + 9. Let o = 6 + b. Suppose 0*h - 2*h + 110000 = o. Round h to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 212200210021?\nAnswer: -212200210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -62460 divided by 10410?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/7))**(-1\/4)\/(l\/(l**5*l)*l)**(-1\/21))**(1\/2) assuming l is positive.\nAnswer: l**(-43\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462805212 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*11\/(-440))\/((-1)\/(-4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (19 - 33 - -10)) + 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**3\/3 - n**2\/2 - 7*n + 1. Let v(y) = -y**2 - 16*y + 44. Let r be v(-18). Let s(b) = -3*b + 24. Let c be s(r). What is k(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -10*u**2 - 3*u. Let s(n) = 30*n**2 + 10*n. Calculate 6*s(l) + 20*v(l).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64 - (83 - 14)) + (-588)\/(-116)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 61 - 9 + 2 - 5*z. List the prime factors of a(-7).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 355, -421270, -2 in decreasing order.\nAnswer: 355, -2, -421270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express p + p**2 + p**2 - p**2 + 2*p**3 - 32 - 16 as b + g*p + z*p**2 + m*p**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) -36 (c) 0 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10558 + 22615 = 52*j + 2181. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-15)\/(-20) + -4 + (-667)\/(-92)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)*r\/r**(6\/11))**(2\/153)*((r\/(r**(-2\/5)*r*r))\/r**(-1\/8))\/(r*r**1)**(-7\/3) assuming r is positive.\nAnswer: r**(31007\/7480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89.6253 + -89.5452989. Let l = -0.08 + o. Round l to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30114 + -5?\nAnswer: -30119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 6*i - 41 = -55 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o**2 - o - 1. Let c be s(-1). Let b = c + -4. What is the smallest common multiple of 11 and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -416*p**3*t - 20*p**3 + 22*p**2*t - 2*p**2 + 5*p*t + 2*p + 162*t + 5009 wrt p?\nAnswer: -2496*p*t - 120*p + 44*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 540\/(-81)*108\/330?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/11 + (-2)\/(-1). Let p = -28\/55 - g. Let k = 0 - -0.2. Which is greater: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 132*k - 75072. What is the greatest common divisor of k and 3536?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/12 (b) 2 (c) -53144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 7*y + 5. Let m(h) = -h**3 - h**2 - h + 8. Let v be m(0). Let p be g(v). Which is smaller: -4 or p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 69318.\nAnswer: -13\/69318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386580 is divided by 69329?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u. Suppose 4*f = -3*i - 16, 4*f - 2*i + 6*i + 20 = 0. Let c be y(f). Let o be 4 - (2 - (c - 3)). Solve -m = 2*l + o, -m + 2*m + 3 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427955, 855909, 1283863, 1711817, 2139771, 2567725?\nAnswer: 2995679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.3 + 15.49. What is the third biggest value in -0.4, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + 3. What is the lowest common multiple of w and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*w - 0*g - 192, 4*w = 3*g - 194. Let b = w + 53. Let z be 3*((-32)\/b - (1 + -1)). Is z at least as big as -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:35 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 933079 = -32*m + 258096. What is the highest common factor of m and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -17*z - 14. Suppose 1106 + 392 = z*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4941*f - 4943*f - 4*n - 56, f + 5*n = -31 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.91 - -0.09. Let k = -5 + j. Let y = k - -0.7. Which is the nearest to -2? (a) -0.2 (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, 5, -2934, 4, 0, 6 in ascending order.\nAnswer: -2934, 0, 4, 5, 6, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/4 + 949*x**4\/4 + 202879*x**3\/4 - 10521005*x**2\/4 + 36554350*x - 123504500 = 0. What is x?\nAnswer: -497, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -29463 + 29470 + 2*m**2 - 3*m**4 + 3*m - 2*m as z*m**3 + n*m**4 + t*m + h + r*m**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1319290 divided by -94.\nAnswer: -14035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48530681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 355200523?\nAnswer: -355200522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 0.01 (c) 5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 39. Let l be b(-10). Suppose -l*z - 18240 = -29*z. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q - 66. Let m be t(-8). Find the second derivative of -25 + m - 143*x + 2*x**3 + 5 + 166*x**4 + 14 wrt x.\nAnswer: 1992*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 6:45 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5281.\nAnswer: 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*h + 246 - 226 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - 5*s - 1. Let r(o) = -o**2 - 2*o. Let k(i) = -3*p(i) + 8*r(i). Let a be k(-5). Suppose -a + 10 = -z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.036438 from -3.\nAnswer: -2.963562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3418492 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/5, -1\/4, -55.4, -0.1, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 214, 243, 292, 361, 450?\n\"Answer: 10*s**2 - s + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/190 + 2\/(4*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -2584?\nAnswer: -11\/2584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**3 + 2*i**2 + i - 2. Let v be x(-2). Suppose -4 = 3*d - v. Let w(k) = d*k + 7 - 1 - 5. What is w(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 3*w + 24. Let o(n) = -22*n + 110. Let c be o(5). Let x be y(c). Solve -29*l = -21*l - x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0256792 rounded to three dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d65 + -b?\nAnswer: -1d70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334892 to the power of 1\/2, to the nearest integer?\nAnswer: 1826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*s + 15, 3*s + 4*k = -s + 12. Let o = 87 - 86. Put -9, s, o in ascending order.\nAnswer: -9, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 8*i**2 - 6*i - 8. Let w be f(9). Suppose -5*j + 3*u = u, 5*u = 3*j + w. Suppose -2*q = j*a - 0*q, 40 = 4*a - 4*q. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/6, 7\/12, 1\/10, -0.4 in increasing order.\nAnswer: -0.4, 1\/10, 7\/12, 11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -7*c - 3*c**2 - 1 + 0*c + 3*c. Let s(v) = -17*v - 11. What is -11*b(l) + 4*s(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -116*d + 53*d**3 - 5 + 1 - 51*d**3 + 36*d**2 + d**4 - 34*d**2 + 0 in the form o*d**2 + z*d**3 + g + p*d**4 + m*d and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 27*r + 2. Let m be u(4). What is the common denominator of (-2)\/((-7)\/((-399)\/m)) and (-10)\/(-20) + 75\/(-22)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -136 + 490 - 22 + 161*z**4 wrt z?\nAnswer: 644*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 4. Let w be 2 + a\/6*-3. Suppose w*u = -5*r + 4*u + 132, 4*r - 4*u = 112. What is the greatest common factor of 39 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Let b(v) be the third derivative of -v**5\/60 + v**4\/8 + 5*v**3\/3 - 29*v**2. Let p be b(-2). Solve p = 3*j - l - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1354 divided by -2?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 11*l**2 - 37*l - 10. Let j(m) = -20*m**2 + 69*m + 18. Let i(a) = -9*f(a) - 5*j(a). Let y(v) = 2*v**2. What is i(y(s))?\nAnswer: 4*s**4 - 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 0) + 26\/(-13). Suppose 0 = -w*l, -3*r = -6*r + 2*l + 9. Solve 29 = r*o + 35 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3009, -3 in decreasing order.\nAnswer: 3, -3, -3009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1952 + -1935.97. Let i = -0.03 + y. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*z - 17 + 3*z + 10*z + 7*z to the form d + s*z and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 521474939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7089 - -8594. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 7*i + 2. Let k(s) = s**2 - s + 7. Let a be k(0). Let u be w(a). Solve -4*n + 2 = -u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33927365 divided by -6785473.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 3:47 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y + 60. Let s be v(13). Let w(m) = -7*m**3 - 3*m**2 + 6*m + 3. Let n(p) = -6*p**3 - 2*p**2 + 6*p + 2. Let h(i) = s*w(i) + 6*n(i). What is h(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149217 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 - 50 = -23*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**4\/4 + 2*x**3 + x**2\/2 - 3*x - 1. Let i be s(6). Let d(v) = v - 4. What is d(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12581280 to the nearest integer?\nAnswer: 3547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = s - b, 2*b = s - 7. Calculate the remainder when (s\/(-3)*53)\/(10\/30) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 + 3*k**3 - 5*k**3 + 3*k**3 + 2 - 52*k to the form s*k**2 + m*k + d + b*k**3 and give m.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183040 and 22805120?\nAnswer: 501712640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1478 + -125. Let d = v - 2. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*i - 4 = 0, -2*y + 2*i + 4 = -2*i. Suppose 13 = y*q + 7. Calculate the lowest common multiple of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59*m**4 - 6*m + 6709 with respect to m.\nAnswer: -236*m**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 24*k + 17. What is z(-9)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10787449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j. Let l(n) be the third derivative of n**4\/12 + n**3 - 4*n**2. Let p(s) = -12 - s - 3*s - 1. Let t(w) = -13*l(w) - 6*p(w). Determine t(r(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 3 (b) 26 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110011 - -11011001110010?\nAnswer: 11010111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 2 - (-57 - -77)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - 5 + 0*w**3 - 6*w + 4*w to the form d*w**3 + k + i*w**2 + q*w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -131*w - 7. Let n be i(-1). Let t = 70 - n. Which is the smallest value? (a) 0.4 (b) -4\/9 (c) t (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**2*s**2 + 4*d**2*s - 5*d**2 - 6*d*s**3 + d*s + 7*s**3 + 2*s**2 + 2*s wrt s?\nAnswer: -6*d**2 - 36*d*s + 42*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_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: 1.7 times -6.6\nAnswer: -11.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 77. Suppose 2*m = 11*m - h. Solve -n - 4*t = 3*n - 24, -11 = -3*n + m*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**2 - o - 6. Let n be u(-3). What is the greatest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 824 = 4*t - 954, 12*t = 2*w + 52 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 164?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*w - 2*w. Suppose w*d + 2*d - 36 = 0. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87715.72 * 0.2.\nAnswer: 17543.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 724046687 to the power of 1\/3, to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -8. Suppose 5*n = -2*r + 152, -3*r + 237 = -n + q*n. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -15, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186075 is divided by 1425.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let m(b) = -48*b. Let x(i) = -186*i. Suppose 0 = -3*r - 5*a + a - 6, -r - a = 1. Let s(v) = r*x(v) - 9*m(v). Calculate h(s(l)).\nAnswer: -60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1422 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - r + 2. Let h be m(-1). Which is the smallest value? (a) h (b) -85 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k\/((k\/(k**1*k))\/k*k))**(-21)*k**0\/k**(-1))**50 assuming k is positive.\nAnswer: k**(-5200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14359, 57927, 130531, 232171?\nAnswer: 362847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4312070 is divided by 6675.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-8\/7))**5\/((l*l*l\/l**(-16)*l)\/(l**(2\/5)\/l)) assuming l is positive.\nAnswer: l**(-746\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**5\/p)\/p)\/p**(-2\/57)*(p*p*p**(-10)*p)**(-10\/3) assuming p is positive.\nAnswer: p**(520\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etxjjxxwex. What is prob of picking 2 j?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q - 210. Let i(y) = -y + 1. Give 5*i(v) + o(v).\nAnswer: 2*v - 205","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*t = 8 - 0, -5*t = -4*v + 4. Let o(u) = v*u - u + 9 - 8 - u**2. Determine o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 7) to base 11\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 24 + 19 = 0. Suppose -x + 6 = -2*d, 0*d + 3*d + 23 = s*x. Put 6, 1, x in ascending order.\nAnswer: 1, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -59. Let s be j + (-3)\/(-1) + 3. Factor -p - 3\/2*p**2 + 5\/2*p**s + 0.\nAnswer: p*(p - 1)*(5*p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*k + 79, 3*k + 5*m = 5*k - 55. Let y(s) = -3*s - 7. Let v be y(-3). Suppose -23 = -v*b + k. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1275*o - 328*o + 65887 = 217*o - 32393 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = 0, 4*b - 2*h - 6 = 3*b. Suppose 7*u = b*u + 10. Suppose -u*d = -12867 + 186867. Round d to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t - 2*l = -41, 0 = 3*t - 4*l + 6 - 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33149 + -33160. Let y(j) = -176*j - 11. Let p(d) = 59*d + 4. What is w*p(g) - 4*y(g)?\nAnswer: 55*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + u + 5, -3 = 4*b + 2*u - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-22) + (-861)\/(-924). Put 5, -0.4, u, 4 in decreasing order.\nAnswer: 5, 4, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 15. Let m be w(-11). Suppose 6*f - m - 14 = 0. What is the third biggest value in -4, 0.1, f, 2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3, 0.18574, -7, 11 in decreasing order.\nAnswer: 11, 3, 0.2, 0.18574, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15*n - 12. Let t(l) = 43*l + 37. Let c(m) = -6*t(m) - 17*x(m). What is c(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*g + 3*n + 8, 3 = 4*g + 3*n. Let u be -2*3\/((-24)\/(-28)). Let i(h) = 4*h**2 + 2*h - 2. Let s(p) = 9*p**2 + 5*p - 5. What is g*s(m) + u*i(m)?\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2 - -2) + 1182 + -1161.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2697, -2695, -2693, -2691?\n\"Answer: 2*d - 2699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11081 > -11081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399045 is divided by 15936.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.007? (a) -3\/7 (b) 1 (c) 2\/9317\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/9500670 and 103\/729651456?\nAnswer: 3648257280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4, 5*r - 187 = -6*l + 282. What is the remainder when r is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019096 to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 11*c + 33. Let q(y) = 6*y + 12. Let p(k) = h(k) - 2*q(k). Suppose -f + 11 = 2*l, -23 = -5*l + 3*f + 32. Give p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2. Let d(t) = 26*t - 5. Let x(o) = 28*o - 4. Let j(f) = -4*d(f) + 5*x(f). Calculate z(j(v)).\nAnswer: -1296*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4076 + 313 - 632 + 2221)*(2*r**2 - 3*r**2 + 3*r**2)*(2 - 4 + 1) in the form b + q*r + v*r**2 and give v.\nAnswer: -11956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 284.2 and -2.2655.\nAnswer: -643.8551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582075.3 days to seconds.\nAnswer: 50291305920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -29. Let v be (-49)\/o - (-4)\/1. Which is greater: v or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*-0.03.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-779324.\nAnswer: -7013916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 448135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Suppose q - 9 = -y, -4*y = 3*q - 7*y - 21. Let p be 1\/(-2) - 12\/q. Which is bigger: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 35be7?\nAnswer: 35be9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60363 + 0.\nAnswer: 60363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155913?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12 = -0*y. Let g = -2 + y. Solve 2*a = -g*j, 3*j - 4*a = -16 - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -910, -912, -914, -916, -918, -920?\n\"Answer: -2*r - 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9a050 (base 11) to base 2\nAnswer: 100011011011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = 20*c - k - 0*k + 362, 4*k - 4 = -c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*z + 71*z + 119*z + 26*z + 91*z.\nAnswer: 412*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 27. Let r be v(-12). Are -0.09 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 + 6198*i**2 + 2086729*i - 6315942 = 0. Calculate i.\nAnswer: -323, 3, 6518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {t: 2, x: 5, b: 2, j: 9}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*c - 29 = -1, -34 = -2*z - 5*c. Solve 4*r + 8 = -2*h, -z*h + 8 = -r + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 + 6 = v, 3*n = -3*v + 18. Solve n*a - 1 = -6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 18 = 6. Find the third derivative of -123*w - 59*w**p + 2*w**3 - 47*w**5 + 123*w wrt w.\nAnswer: -2820*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 58. Suppose -2*m + z*n = -20, m + m - 20 = n. What is the highest common factor of m and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598782 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 24. Let w(y) = -17. Let i(k) = 5*m(k) + 7*w(k). Let b(n) = -2*n - 5. Suppose u = 3*u + 2. What is u*b(s) - 4*i(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 77, 73, 67, 59, 49?\n\"Answer: -i**2 - i + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510343 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 + -15 - 108\/(-4). Let m(y) = -y + 25. Calculate m(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 + 3. Let x be (-1)\/(-1) - 4\/4. Suppose 0*v - 4*v - 3 = 5*n, x = 5*n + v + 12. Calculate the remainder when l(n) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 27715 and 360300\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-2))\/(-1))\/(37\/(-37)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -h + 69. Let z be 143\/(-33)*(-72 - 0\/2). Let w = z - h. Calculate the smallest common multiple of 6 and w.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -17)\/(0 - 1). Let y = 56 - c. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158041 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 25*y + 68. Let o be l(-22). Let r = 19 + -7. Solve -d + r = o*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -d + 6*d - 55, 2*d + 2*g - 18 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -571 minus -18942?\nAnswer: 18371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a + 6. Solve -2*q = -a*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -75\/164, -2\/3, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 10. Let i be r(-10). Let m = 1\/394 - 67\/181634. Let x = m + 879\/19823. Which is greater: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 44669 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*i + 2*i + 378, 2*i + 284 = 3*w. Suppose -3*r + 3*o + 95 = -5*r, 0 = 2*r - 3*o + 77. Let u = r + w. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 10*l**2 - 4*l. Let u be s(9). Let m be ((-2)\/3)\/((-5)\/u). Solve -m - 14 = 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 + -240?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/36)\/(318\/2862) + -65.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40473893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1330*x = 1237*x + 279 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 191, 431, 767?\nAnswer: 1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -13*f**3 + 5*f**2 + 6*f + 1. Let u = 13 - 17. Is o(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4170 + -6634. Let z = 2613 - p. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17534.\nAnswer: 2, 11, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/105759520 and -117\/1149560?\nAnswer: 105759520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3096935?\nAnswer: 5, 41, 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301632 divided by -6.\nAnswer: -50272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 12:21 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44000904 and 5208.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -2*c + 68 + 1\/3*c**3 + 1\/2*c**2. Factor v(y).\nAnswer: (y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3741 and 1082009.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113704 and 21436.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 1 = 2*n - 35, o + 5*n - 26 = 0. Let t(z) = 5*z**2 - 7*z + 11. Let i(q) = q**2 + 1. Let x(f) = -6*i(f) + t(f). Give x(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22730115 by 4546023.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h - 13. Let u be f(-6). Solve -88*g**4 - 3*g + 102*g**3 - 2 + 10*g**4 + 8 - 65*g**2 + u*g**2 + 21*g**5 = 0 for g.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:07 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(7\/3)*h)*h)\/((h\/(h\/(h\/h**(-2))*h))\/h*h))**(-1\/6)*(h*(h\/h**(-2\/3))\/h)**(-15)*(h\/(h\/(h\/(h*h**(1\/3)\/h))))**(2\/31) assuming h is positive.\nAnswer: h**(-6808\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 173296 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26, -41, -52, -59?\n\"Answer: 2*a**2 - 21*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w. Let r(x) = 3*x - x - 5*x. Determine g(r(u)).\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 7*o**2 + 2*o - 10. Let g be b(7). Suppose 76 + 24 = g*n. Suppose -n = -5*l + 4*l. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5 = -5. Let b(d) = -3*d + 4. Let q(z) = -32. Let i(y) = -95. Let s(x) = -i(x) + 3*q(x). What is r*s(c) - b(c)?\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, l: 1, t: 6}. What is prob of sequence ntn?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -62*z - 434. Let b be r(-7). Let v(k) = k**2 + 4*k - 4. What is v(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -28*c - 114. What is i(-8)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (0 + (14 + -21 + 3 + 2 - -165))?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100101001111101 + 11100?\nAnswer: -10100101001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 2*b + 4*b - 2*b + 3*b - 3*b + (0*b + 4*b - 2*b)*(-4 + 6 + 0) - 2*b - 6*b - 2*b)*(0*b - 5*b + 2*b) in the form o + r*b + t*b**2 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 435 and 2290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-14)*(-12)\/(-48). Let g = 0.3 + 0.7. Let x = -358 + 360. Sort m, g, x in descending order.\nAnswer: x, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1718 = 3*z + a, 1148 = 6*z - 4*z - 2*a. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25257*o**3 + 8878*o**2 + 2 wrt o.\nAnswer: 151542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15837027\/935 - 16938. Let l = 1754\/953749 + -15150070299\/7134042520. Let z = l + w. Calculate the common denominator of 71\/12 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.44, 5, -616, 0.087?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 430 and 1107078.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -105*j**3 - 23*j. Let v = 233 + -232. Let y(t) = -t**3. Let a(s) = v*b(s) - 3*y(s). What is the second derivative of a(m) wrt m?\nAnswer: -612*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 25*w**2 - 19*w - 123. Calculate o(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 936\/(-4446) + 200\/228?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {n: 1, t: 4, l: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -16*o**3 + o**2 + o - 1. What is d(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x**2 + 4*x - 2. Suppose -168 = d + 6*d. Let t be 3\/2*(368\/d - 6). Let p = t - -31. Let g(r) = -r**2 + r. Give p*i(b) + 5*g(b).\nAnswer: 2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -142032 divided by -6456\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2042*d - 1200 = 1994*d. Let w be (0 - 0)\/(-4 + 3). Sort d, 5, w, 1.\nAnswer: w, 1, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 183 - 27 = 0. Let t = v - 17. Round t to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2861964815.\nAnswer: 5, 572392963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 27*x + 20 = 0. Which is the third biggest value? (a) x (b) -2 (c) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 964 = 2*b, 0 = b - k - 396 - 98. Let t be b\/18 + 6\/(-27). Solve -l - 6*j = -j + t, -3*l + j = 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -4*x + 60, 4*f + 0 = 3*x - 9 - 47 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149 - 133. List the prime factors of (i\/2)\/((-4)\/(-120)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 6*u - 2*u)*(-u**2 + 2*u**2 - 4*u**2)*(-3*u + 5*u + 0*u)*(12 + 31 + 2).\nAnswer: -540*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 3)*1*-22. Suppose 5*o + 0*j + 2*j - 179 = 0, -5*j + l = o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -46*v**4 + 234*v**3 - 388*v**2 + 216*v - 16 = 0.\nAnswer: 2\/23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -126) + -63 + (2 - 0) + (-1 - -1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 2*f**3 - 4*f**3)*(-7*f - 53*f + 22*f) + 3*f**4 + 3*f**4 - 4*f**4 + (f + 1 - 1)*(f**3 + 3*f**2 - 3*f**2).\nAnswer: 155*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.62 + -1.62. Which is the second biggest value? (a) -3 (b) i (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 434 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (1 + -5)) + -82 + 65 + (-4 - -9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/51 (b) -1\/3 (c) 2\/19 (d) 5.535 (e) 0 (f) -0.2 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7904655 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -16*v**2. Let d(j) = -27487*j**2. Give d(f(c)).\nAnswer: -7036672*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-4))\/((-10)\/((-50)\/10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0*s**3 + 0*s**6 + 0*s**7 + 0*s**2 - 1\/14*s**8 + 0 + 0*s**5 + 7*s + 1\/3*s**4. Find the third derivative of u(v) wrt v.\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 310 - 302. Suppose 3*q + 4*o = 5*q - 22, 3*q - o - 13 = 0. What are the prime factors of (x\/(-16))\/(q\/(-432))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n + 8 = 0, -4*x + 428 = 2*n. Suppose x = 9*k - 164. Solve -15 = -2*q + 4*s + 15, -s = -5*q + k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b - 1370 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycguuknuukuuug. Give prob of picking 1 g, 1 n, and 1 u.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 s, and 1 w when four letters picked without replacement from {w: 2, s: 5, c: 3, o: 5, n: 4}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3192\/9)\/(-4) - 112\/(-168). Let i be d\/154*(1 + (-9)\/2). Solve -i*m - 4 - 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6025*w + 72259. Calculate a(-12).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 + 120*p**3 - 2684*p**2 + 26520*p - 97682.\nAnswer: -2*(p - 17)**2*(p - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -23) + 9 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 59, 60, 71, 98, 147, 224, 335, 486?\n\"Answer: s**3 - s**2 - 3*s + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 36 = 6*a + 4*w, 0 = 3*a - 3*w. Suppose 3*f + 5 = -d, -f - 2*d = -a*f - 8. Let l = 0.7 - 3.7. Sort l, f, -0.1.\nAnswer: l, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -348805870 - -348805828.4000213. Let r = 5.06 + 36.54. Let o = r + d. Round o to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -25 + 1 + 0*4\/28. Let n be -2 + (i\/(-9))\/((-20)\/(-30)). Solve -5*q + 2*q = -5*f + 3, -n*f + 2 = -2*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143076 is divided by 1416.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ab (base 12) in base 15?\nAnswer: -278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1474 (base 8) to base 12.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3.92 (b) 2 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, n: 4}. Give prob of picking 1 f and 2 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 2*o + 2. Let i be j(0). Suppose i*z = -7*z + 27. Solve 2*k = a - 4, 0 = a + z*a - 3*k - 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69018 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -13*a**2 + 59*a + 218. Let v(z) = -7*z**2 + 29*z + 109. Let m(t) = 11*v(t) - 6*x(t). Let i be m(38). Solve -i*q + 14 = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01635 in 2, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 7*w - 116 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 88, 174, 256, 328, 384, 418, 424, 396?\n\"Answer: -k**3 + 4*k**2 + 81*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1812a4 - 0?\nAnswer: -1812a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - g + 27 - 7, 0 = 3*n + g - 16. Let k(p) = 3 + n - 5*p - 2 + 10*p. Let h(l) = -14*l - 14. Calculate -6*h(o) - 17*k(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 72 + p**3 + 4*p**3 - 6*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 - -1.6. What is the third smallest value in 0.1, 1\/6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -0.4, -2, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52907 by 52907.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**3\/2 - k**2 + 11*k - 3. Let r be (-1)\/(3\/(-2))*-3. Let v be m(r). Let s(p) = -p**2 + 6*p - 2. Calculate s(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*h = -7, -2*h + 3*h + 23 = -5*g. Let n(s) = -s**3 - 4*s**2 + 4. Let r be n(g). Suppose r*o - 7*o + 204 = 0. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + (-130)\/15)*12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 24 = 3*w, -2*w - 9 = 12*g - 9*g. Solve 7*s + w = -2*i + 6*s, -2*s = 3*i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89664 + 89978. Calculate the remainder when f is divided by (2\/(-4))\/((-1)\/30).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33475 + 34687. What is the remainder when a is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 10*l + 3. Let u be k(9). Suppose u = 15*g - 12*g. Solve -2 - 49*q**g - 4*q - 4*q**5 + 8*q**2 + 45*q**4 + 8*q**3 - 2 = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38\/37 + 46\/333. Find the common denominator of -28\/5 and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 261 and -58\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37 + e69ef2?\nAnswer: e69f29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.23 to zero dps.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4 = 2*l + 7, -3*l + 6 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*g = -1 + 6 + 4, 66*g - 75*g = -5*c - 42 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.35 - -0.05. Let f = 0.2 - l. Let n = 13 + -10. What is the nearest to 0 in n, f, 4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 157 in -4\/3, -0.1, 1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212332 (base 6) in base 15?\nAnswer: 13eae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.1 (c) -3\/5 (d) 6789\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or 0.261315?\nAnswer: 0.261315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 6:12 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o. Let n(i) = -6*i - 2. Let t(r) = 13*r + 5. Let z(k) = -5*n(k) - 2*t(k). Calculate z(a(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 321, 481, 641, 801, 961?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhho when four letters picked without replacement from wglhohhgwowhglogwhl?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**20*w*w**8*w**(1\/11)\/w**(-1\/31) assuming w is positive.\nAnswer: w**(9931\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 - 108*j + 2 in the form k*j + x and give k.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1189016, 1189027, 1189052, 1189097, 1189168, 1189271, 1189412, 1189597?\n\"Answer: c**3 + c**2 + c + 1189013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15\/302 - 234\/151. Let f be -1 - (8\/(-3))\/4. What is the smallest value in 3, f, 5\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*j + 4*c, -5*j - 4*c + 1 = -12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 3*h**2 - 5*h - 3. Suppose 0 = 3*s - 5*z - 10 - 9, -2*z - 13 = -3*s. Let i be 0\/(1 - s) + 3. Is f(i) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2 + n + 6. Let u(w) = -w - 1. Let h(k) = l(k) + 3*u(k). Let q be h(0). What is the tens digit of (8\/q)\/(6\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y + 8529. Let g(c) = 4*c + 8541. Determine -4*g(p) + 3*r(p).\nAnswer: -p - 8577","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - c - 1260. Let h(i) = -i**2 - 5*i + 30. Let j be h(0). What is the highest common divisor of c and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -38, 5 in increasing order.\nAnswer: -38, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 91, 5, 0, -4.2?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n. Let m(u) = 35*u - 2062. Let z be m(59). Let s(x) be the third derivative of x**2 + 0 + 0*x**z + 0*x - 7\/24*x**4. Calculate k(s(d)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/7, -3\/2, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1040 and -229\/69300.\nAnswer: 3603600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 5*s - s)*(-2*s**3 + 4*s**3 - 4*s**3) + (0*s**3 - s**3 - s**3)*(41*s + 48*s - 22*s) + (s**2 + 3*s**2 - 3*s**2)*(-4*s**2 + 5*s**2 + s**2).\nAnswer: -136*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154*o**4 + 84018*o**3 - 1102*o**2 - 2*o + 11048 wrt o?\nAnswer: 3696*o + 504108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + 0*t)*(-4*t**3 - 2*t**3 + 4*t**3 + (2 - 2 + 5*t**2)*(-2 + 2 + t) + (6 - 4 - 4)*(-t**3 - 2 + 2))*(-2*t + 0*t + 5*t).\nAnswer: -30*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 1917\nAnswer: 1917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) + 3\/6. Let b(j) = -j - 24 + 56 - 1 + j**2 + 46. Is b(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/112 - (-5)\/7. Let m be 20\/(-1 - y)*(-1452)\/24. Suppose 5*i + 5*p = m, -3*p = 4*i - 219 - 265. Is i a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {x: 9, c: 5}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/9)*g**(2\/15))\/(g**7\/(g\/g**7)))**(-17) assuming g is positive.\nAnswer: g**(9673\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**5 - 525*u**4 - 12198*u**3 - 86688*u**2 - 128736*u = 0.\nAnswer: -149, -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001669927612 to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 10. Let k be (0 + 4\/(-16))*-52. What is the lowest common multiple of 54 and c(k)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 286 + -284. Solve -42 + k = -8*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 2*k**2 + k**3 + 3*k**2 + 6 - 5*k**2 + 0*k**3. Let v(g) = -g**2. Let b(r) = 4*v(r) - z(r). Let w(l) = -1. Determine -b(p) + 4*w(p).\nAnswer: p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -30, -2 in increasing order.\nAnswer: -30, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uei when three letters picked without replacement from {u: 1, j: 1, q: 1, e: 2, d: 1, i: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/260 and 40\/(2213120\/20919) - 3\/7.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 975 (base 10) to base 16\nAnswer: 3cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/30 - (-3164)\/105. What is the highest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/6 + 1001*g**4\/2 - 752001*g**3\/2 + 2253001*g**2\/6 = 0. Calculate g.\nAnswer: 0, 1, 1501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 69?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -74 - 4?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.78133 plus 180.61?\nAnswer: 972.39133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - ((-202)\/35)\/2. Let j = w + -3\/5. Let z = 0 - -0.2. Which is the third biggest value? (a) j (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-23)\/(-276) + (-22)\/(-24))*76. Let s(c) = 16*c**2 - 8*c - 6. Let k be s(7). Calculate the greatest common divisor of h and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/16)\/(n*n*n\/n**(-21)*n) assuming n is positive.\nAnswer: n**(-399\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjqsqs. What is prob of picking 1 j, 1 s, and 2 q?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 - s**2 + s**2 + (3*s - 2*s**2 - 3*s)*(-s**2 + 0*s**2 + 0*s**2) - 2*s**4 - 1 + 1 + (2 - 2 - 4)*(0 + s**4 + 0).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1306*q = 1309*q + 19, 5*q = -s - 1. What is the highest common divisor of 2072 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**4 + 3*k**4 - 3*k**4)*(14 + 69 - 22) as v*k**3 + a*k**2 + o + m*k**4 + d*k and give m.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.5, 0.3, 760, -2\/9 in ascending order.\nAnswer: -7, -2\/9, 0.3, 0.5, 760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4\/5 + 26*a**3\/5 + 2*a**2\/5 - 26*a\/5 = 0.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + ((sqrt(931) + -2 + 5 + (sqrt(931) - (-3 + (sqrt(931) - (sqrt(931) - (sqrt(931) + 2))))))*5)**2).\nAnswer: -94708 - 5600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**3 - 243*l**2 - 24*l - 1801. What is a(-81)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 1095728*q**2 + 7 - 14.\nAnswer: 1095728*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226252223?\nAnswer: 1747, 129509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -1\/5 (c) -41 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3)\/j)\/j**(-4\/3))\/((j**(2\/9)\/j)\/(j\/(j*j**7\/j))) assuming j is positive.\nAnswer: j**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1)*2\/(-4). Let c(t) = t**3 - 6*t**2 - 13*t - 25. Let b be c(8). Put 4, q, b in descending order.\nAnswer: 4, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51851139 * -4.\nAnswer: 207404556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1354 = v - 1367. Calculate the remainder when 112 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s**2 - 6*s**2 + 4*s**2 - 8*s**2.\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**5 + 0*s**5 + s**5 - 2*s**5 + 0 + 0 + (6 + 1 - 2)*(5*s**5 - 2*s**5 - s**5) + 2 + 0 + 2*s**5 - s**5.\nAnswer: 7*s**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 - -2. Let s = 2\/1651 - 70999\/4953. Let r = -15 - s. What is the nearest to r in -3\/4, k, -0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/20 + 12*i**2. Let n(b) = -b. Calculate o(n(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d**2 - 574 + 574 + (2*d + d - 5*d)*(-2 + 2*d + 2) to the form g*d + q*d**2 + f and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -10.05. Let z = -4.25 - w. What is z rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2807378.\nAnswer: 2, 7, 193, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 10*p**2 + 35*p - 7. Calculate f(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 12:36 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 16537 = 4*h, -20674 = -5*h - 4*a - 0*a. Is h a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 1. Let l be 38\/6 - 2\/6. Is p(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -10, 96203, 3, -0.2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 17. Let j = f + -8. Suppose -29*m = -1364 + 1277. Sort j, 4, m in ascending order.\nAnswer: j, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91887 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -976*o**4*q**3 + o**4*q - 254*q**3 - 1 wrt o.\nAnswer: -3904*o**3*q**3 + 4*o**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -151*z**6\/3 + 425*z**2\/2 - 4*z - 31. Differentiate p(o) with respect to o.\nAnswer: -6040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (-952)\/42)\/(1\/39).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894.6 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 18*p**2 - 39*p + 20. Let m be l(-20). Solve 0 = -4*i - m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1286 + -1285.94. Which is the second smallest value? (a) 0.05 (b) 6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (318\/63)\/(3528\/(-37044)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**10*c**(-4)*((c**(-1)*c)\/c)**(-7\/5) assuming c is positive.\nAnswer: c**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/2*1 - 13\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*s + 151 = 0, 6*v - 4*s - 397 = -39. Calculate the remainder when 1288 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 - -13) - -1 - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 7*c - 78. Let d = c - 22. Suppose d*m - 3*v - 1163 = 0, -4 + 1 = -v. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321240004 (base 5) in base 15?\nAnswer: -1bab1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 3*b + 1. Let x be z(2). Suppose -3*m + 138 = 3*v, 4*m + x*v - 184 = 6*v. What are the prime factors of 0 + m - (5 + -3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -292.697 - 0.303. Let p = q - -293.1. Put 0.4, 1\/5, -0.1, p in decreasing order.\nAnswer: 0.4, 1\/5, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92390 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 234\/63 - (-4)\/14. Suppose 6*u - 10 = a*u. Solve -4*t - u = -21 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*a + 4*u, 4*a - 19 = 30*u - 25*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 421651 and 11849.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -10?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 3, j: 1, t: 2}. What is prob of picking 1 g and 1 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72940 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 237, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4570)\/(-20) - (-6)\/(-8). Let c = -439\/2 + f. What is the common denominator of -3 + (33\/(-30) - 1) and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + (sqrt(5) + 1)**2 - sqrt(30)\/(sqrt(24)\/sqrt(4))).\nAnswer: sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -12. Let d(q) = -j*q - 5*q**2 + 4*q**2 - q**2 + 5 + 3*q**2. What is the units digit of d(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -794 - 1?\nAnswer: -795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2969.94 + -2970. What is the nearest to 0.1 in h, -2, -61?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2028\/(-21)*35\/(-10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 78\/7, -2\/7, 2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*z + d = 1, 13602 = 3*z + 4*d + 13598 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6439*r + 8413*r + 132258 for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 3*h - 3. Suppose 3*k = 3*a - 22 - 2, 6 = a - 2*k. Let p(y) = -3*y**2 - 5*y - 5. Give a*w(z) - 6*p(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 17*a = 280. Suppose -27*u = -25*u - a. What is the remainder when u is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -13*q - 41 + 132*q**2 - 44*q**2 + 141*q**2 - 61*q**2. Let h be d(-3). Round h to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00821143 to five dps.\nAnswer: -0.00821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 + 212. Suppose -4*h + 97 = -0*m - 5*m, -5*h + 3*m + 105 = y. Let a(j) = 2*j - 3. What is the lowest common multiple of h and a(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -6 - (-27 + 30)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) - (-80)\/24. Let w be ((-24)\/d)\/((-12)\/(-9420)). Round w to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/2 + 59930*j**3 + 1789071696*j**2 - 403738018920*j + 800319271608 = 0. Calculate j.\nAnswer: -60042, 2, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - 77125 + 77125.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-7))\/(89\/((-390621)\/(-165)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030659 to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 99466718 to the power of 1\/2, to the nearest integer?\nAnswer: 9973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -17?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 19*y**2 - 21*y + 13. Calculate o(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 630, 946, 1262, 1578?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -401 + -3?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 403680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 286.25 to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + 1 + 0*u + u + (-74*u + 61*u - 103*u)*(0 - 3 + 1).\nAnswer: 229*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggfgggffggg. What is prob of sequence fggf?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/12*(-1467)\/(-3260). Which is the nearest to -2\/7? (a) -2 (b) p (c) 0.068\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1724479 minutes in days?\nAnswer: 0.001508644375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-5)*(7934 + -1). Suppose 0 = -t - 72866 + f. What is t rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b, 5*m - m - 4*b + 40 = 0. Let k = 17 + m. Put k, 13, 1 in descending order.\nAnswer: 13, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 - 46 + 36 - 11.\nAnswer: 6*u**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/499 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b + 3*b - 3*b)*(-14 + 3 + 7) - 5*b - 7 + 7)*(-5*b + b + 0*b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*z + 4 + 9 = 0, 4*o + 4*z - 4 = 0. Find d, given that 9*d**2 - 16*d - 7*d**2 - o + 19 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 - -62. Suppose -3*q + 651 = -n*q. Let b = 328 - q. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - 2*a + (2 + 1 - 1)*(-a + 0 + 0))*(-5*a**2 + 4*a**2 - a**2).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*z = 26, -5*p - z + 24 = -18. Let d = p + -2. Suppose -3*c = x - 10, -4*x + 16 = 3*c - d*x. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6 - (-152)\/57. Suppose 0*h + 3*h - 93 = -w*k, -5*h + 3*k = -155. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -2.1. Let t = -41.2 + 38. Let s = t + 3. What is the third biggest value in s, m, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 6*b - 48 = 8*t, 4*b - 5*t = 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 362\/28211 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u - 79 = -s, 57 = 3*u + 3*s. Let x be (-12)\/6 - (-28)\/u. Sort 0.1, x, -0.3.\nAnswer: -0.3, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 948\/(-132) + (2 - 8) + 5 + 6.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13368345807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-15))\/(294\/(-441)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 1. Let g(f) = 7*f - 9. Suppose -29*z = -5*i - 24*z - 20, 4*i - 5*z = -14. Give i*v(o) + g(o).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*n**3 + 103*n + 103*n - 211*n + 897*n**3 - 12 wrt n.\nAnswer: 6144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2424937933.\nAnswer: 11, 109, 557, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*y - 47, -w + 4*y = 2*y - 26. Suppose 2*m = 6*m - w. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13041)\/(-8) + (-11)\/88 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.79? (a) 1\/9 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.1, 4, -83, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/30)\/(1\/(-12)*2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/4 - (-1)\/4. Suppose 3*i - 5*i - 17 = -3*n, -5*n - 4*i - z = 0. Let s(c) = 2*c - 6. Let t be s(5). Solve 16 = -t*q - 0*o - o, -3*o = 3*q + n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 180277.5 and -10230?\nAnswer: 190507.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 3 + 2 + -2. What is the third biggest value in 4, -2\/11, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2676*n = 2731*n - 55 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbo when three letters picked without replacement from {v: 1, o: 6, j: 1, t: 4, q: 3, b: 5}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -5) + -16 + 21 + (8 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 8, -1, -12, -25, -40, -57?\n\"Answer: -t**2 - 4*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138030 by 5.\nAnswer: 27606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207546922 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 56cb5 + 1?\nAnswer: 56cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/12 and 101\/41826.\nAnswer: 83652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401454870?\nAnswer: 2, 3, 5, 97, 137957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 372, 367, 362, 357?\n\"Answer: -5*q + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6) - 65960\/(-24). Suppose -5*j = 3*l + 2*l - 6920, -3*l - c = -2*j. Suppose 4*o = j + 88. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuhuh. Give prob of picking 2 u.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 125487811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 955233 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(7\/3)*q*q**(-6)*(q**12\/q)\/q**(-6))**(-49) assuming q is positive.\nAnswer: q**(-2107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*v**5 + 75698*v**3 - 2110*v**2 - 247*v + 1?\nAnswer: -360*v**2 + 454188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 35 = -2*a, 4*a - 10 = 10. Let f = -4 + u. Suppose 0 = -0*o + f*o - 10. Solve -v - 3 = -3*s - 1, o*v = -10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*w - 5*c, 4*c + 7 = 4*w - 7*w. Let t(l) = -2*l**2 + 15*l - 11. What is the remainder when t(6) is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 - 263*d\/5 + 522\/5.\nAnswer: (d - 261)*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y + 87 + 108 + 221 = 0 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 v when three letters picked without replacement from hvllflfvfvhlvvhvhhv?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 28. Let d(v) = -v + 14. Let l(t) = -5*d(t) - 3*f(t). Let c be l(9). Suppose -c*i = 2*i - 112. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + -1 - (0 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1625390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2393*c**2*r**2*w**2 - 25518*c**2*r*w**3 - c*r*w + 16*r**2*w**3 - 2*w**3 wrt r?\nAnswer: 4786*c**2*w**2 + 32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5676750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 501.6279l?\nAnswer: 501627.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k - 18 = -3*d, -2*d - 4 = -4*k. Let y be (-4)\/(-4)*(0 + k). Suppose 37 = y*h + 4. What is the remainder when 21 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6003 is divided by 651.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 1, -94 in ascending order.\nAnswer: -94, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.873 - 1.373. What is the nearest to 2\/9 in c, -5, -2\/17, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 3*m**5\/20 - 19*m**2 + 3. Let o(g) = 9*g**2. Calculate o(w(s)).\nAnswer: 729*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8869.9 + 8869.988963. Let i = -0.0897 + g. Round i to 5 dps.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 7*z + 110086 = 26*z. List the prime factors of z.\nAnswer: 2, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046246 minus -25741?\nAnswer: -1020505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**4 + w**3 + 23*w**2 - 13*w - 10. Let n(s) = s**4 - s**3 + 2*s + 2. Let u(h) = -5*n(h) - t(h). Find the third derivative of u(x) wrt x.\nAnswer: -216*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.8 in -5, 2, 86392, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.5 and -0.0006684?\nAnswer: -0.0043446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.9293993 decades?\nAnswer: 0.009293993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(70) - -1*sqrt(70)) + sqrt(70))*5 - sqrt(70)*-2*6))\/((-4*-2*sqrt(30))\/(2*(sqrt(3) - (sqrt(3) + sqrt(12)\/sqrt(4))))).\nAnswer: 27*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -280.41 - -283. Let z = x + 0.41. Let j(d) = -d**3 + 4*d**2 - 2*d + 6. Let p be j(4). Which is the smallest value? (a) p (b) 1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.441339 rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 80387627 and -0.1?\nAnswer: 80387627.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, 25, -255 in descending order.\nAnswer: 25, -3, -8, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f**2 + 4*f - 2. Let l(g) = -5*g - 8*g - 4*g + 9 + 33*g**2 + g. Let b(m) = 2*l(m) + 9*w(m). Find p such that b(p) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.06, -0.1, -1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-244)\/(-915).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 4*s + 0*s**3 + 2*s**4 - 13\/14*s**7 + 0*s**5 + 0*s**2 + 0 + 0*s**6. What is the third derivative of r(p) wrt p?\nAnswer: -2340*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*(-2 + 2*sqrt(800)) + 0)*5)**2.\nAnswer: -576000*sqrt(2) + 11534400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/4 (b) -3.9 (c) -1 (d) 813.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(-1*(sqrt(9) + sqrt(9)*-6 - sqrt(9)) + sqrt(9)).\nAnswer: sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 832 + 151. Let v be s*(19 + 1)*1500\/3. What is v rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2257*a**3 - 15804*a**2 + 24*a + 71. Calculate w(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d - 5 = 61*d, 5*y = -d + 30 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a**4 + 6*a**4 - 26*a**4)*(-10*a - a - 3*a) + 0*a**5 + 2*a**5 - 3*a**5 + 2*a**5 + 2 - 2 + (2 - 2 - 2)*(-4*a**5 + 2*a**5 + a**5) + a**2 - a**2 + a**5.\nAnswer: 130*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, j: 7, h: 7}. Give prob of picking 3 j and 1 z.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(56)\/sqrt(4))\/sqrt(2).\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) - 9506\/(-21). Let x be u - ((1 - 4) + 6). Round x to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/9 + 32*g**3\/9 + 106*g**2\/9 - 212*g\/9 - 32 = 0. What is g?\nAnswer: -9, -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 o when three letters picked without replacement from {o: 9, u: 2}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 + 6 - 3)*(-b + 5*b - 2*b).\nAnswer: 78*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/13 - -59\/91. Let g be 9 - (-3)\/((-9)\/3). Let p be g\/(-12)*(-3)\/(-4). What is the nearest to p in 5, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 10) to base 4\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from lwrdt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105.1, 89, 2\/83.\nAnswer: -105.1, 2\/83, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.076575 from -0.061.\nAnswer: 0.015575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42, 104, 170, 240, 314?\n\"Answer: 2*v**2 + 56*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2\/39 (c) -3\/4 (d) -2\/23 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -44, 38, -190 in increasing order.\nAnswer: -190, -44, -3, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15101 + 60731\/4. Let i = a + -76. Calculate the common denominator of -21\/44 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (480\/(-36))\/(124\/(-93))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68.3 - 68. Let z be (15\/2)\/5*2. Suppose 3*u + z = -3*k, -2*u + 3*k = 4*k + 1. Which is the nearest to u? (a) 3 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*v = 7*v - 10, 3*v = t - 6. Suppose 11*m**5 + 16*m**t + 8*m**2 - 8*m**4 - 36*m**3 + 9*m**5 = 0. What is m?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77716730.53227 - -0.1\nAnswer: -77716730.43227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*q)*(-4*q + 4*q + 2*q) - 2*q**2 + q**2 + 2*q**2 - 2*q**2 + 0 + 0 - 2*q**2 - 226*q + 63*q + 94*q.\nAnswer: -7*q**2 - 69*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -13 - (-44 - -14).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -593 (base 11) in base 10?\nAnswer: -707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -16*g + 3*g - 1112*g**3 + 37 + 1111*g**3 - 15*g**2 + 6. What is the tens digit of w(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -3*i**6\/40 - 2*i**5\/15 - 8*i**2. What is the third derivative of b(m) wrt m?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose -6*t + n*t + 40 = 0. Suppose 4*b = -5 + 45. Calculate the smallest common multiple of t and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*o**2 - 33*o**2 + 7*o**2 + (0*o + 3*o - o)*(4*o + 2 - 2)*(1 - 2 + 0)*(-1 + 1 + 2)*(2 - 1 + 1).\nAnswer: -67*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 5. Let w(i) = -7*i**2 + i + 1. Let o be w(-1). What is the units digit of x(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10383136 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 112 = -13*n, 5*n + 0*n + 5*j = 0. Let d(c) = -c**2 - 59*c - 420. Give d(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 333 + -333. What is the closest to -3\/2 in 3, 1, n, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12540 (base 6) in base 5?\nAnswer: -30212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 8 - 4 - l)*(3*l**4 + 0*l**4 - l**4 + (-4*l + 0 + 0)*(5*l**3 - 3*l**3 + 2*l**3)).\nAnswer: 28*l**5 - 56*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116784, -116803, -116836, -116883, -116944, -117019?\nAnswer: -117108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = 6. Let m(d) = 110*d**2 + 6 + 116*d**2 + 0*d - 216*d**2 - d. What is the remainder when m(u) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -36. Let i be 1*(2 - -9 - 2). Suppose -34 + i = -5*a. Solve -a*j + 1 = -z*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3042 - 1158 = -j. Suppose j = 4*z + z. Let n = z + -545. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u + 42. Let n be h(-8). Suppose n*q = s - 16, -q - 2*s - s - 1 = 0. What is the fourth biggest value in -0.3, -2\/3, 1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 67 + 44)*(-2*a**2 + 0*a + 0*a)*(2*a**2 - a**2 + 0*a**2).\nAnswer: 198*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5669 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8774 and 123?\nAnswer: 26322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 9 - 6 - i**2 - i in the form p + c*i**2 + h*i and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -11011100?\nAnswer: 11011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8073548 and 1554?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + 2 + sqrt(80) + -5 + -2 + -4))**2.\nAnswer: -648*sqrt(5) + 1449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/7*4\/(-12))\/(1\/(-21)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 6*b - 3. Let w be d(5). Suppose w*g = 4*f - 26, 3*f + 6*g = 5*g + 12. Solve -4*o - o = -f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 265355 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 98313456293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -t + 3*t - 6, 0 = -2*t - 4*r. Let i(u) = 4*u + 0 - 5 + 1. Let g be i(4). What is the greatest common factor of t and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*a + 17*a + 22*a)*(3*a - 5*a + 4*a)*(-12*a + 6*a - 6*a) as g*a + h*a**3 + r + c*a**2 and give h.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 834, 6616, 22308, 52866, 103246, 178404?\n\"Answer: 826*j**3 - j**2 + 3*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -463, -472, -481, -490, -499, -508?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -833, -865, -919, -995, -1093, -1213?\n\"Answer: -11*a**2 + a - 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -15, 11, -4 in ascending order.\nAnswer: -15, -4, 11, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 70 = 560*j - 570*j, 5*j + 35 = 2*u for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8639 is divided by 133?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6166 + -2117. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1375540 and -53\/1513094?\nAnswer: 15130940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 4 - (1 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*c - 503 = -3*s - 88*c, -5*c - 523 = -3*s. What is the remainder when 11284 is divided by s?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/1)\/(((-200)\/(-80))\/(25\/30)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + 3 + -11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234448772?\nAnswer: 2, 59, 83, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -1, -18, -51, -100?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 6*m - 3*m)*(0 - 2 + 0) + (-m + 6*m + 11*m)*(-3 - 2 + 2)*(-5 + 3 + 4) in the form i + j*m and give j.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 take away 6127006?\nAnswer: -6127003.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (5 + -16 + 11 - 4)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 652771.3 millilitres?\nAnswer: 652.7713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 - 1)*(1 - 3 + 1)*(-t + 0*t - t - 3*t + 2*t - t + (4*t + 3*t - 6*t)*(1 - 2 + 0) + 18*t - 5*t + 3*t) as f + h*t and give h.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 10, u: 8, p: 1}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2. Let g(z) be the third derivative of 201*z**5\/10 - 69*z**2 + z. Give g(u(j)).\nAnswer: 4824*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102712 (base 9) to base 8.\nAnswer: -167235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 253769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3887?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*i**2 - 30*i**2 - 51*i**2 + (i - i - 2*i)*(8 + 2*i - 8).\nAnswer: -67*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.3 times 0.1?\nAnswer: 19.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -2\/21, -4\/5, -3, -18?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-567)\/36*(1044\/24)\/29*(-16)\/(-18)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Let r be (4\/8)\/(2\/12). Suppose -r*t + 15 = -6. Let a(g) = t*g - 7*g + 5*g**2. Calculate a(q(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 4, -5, 19, -3.\nAnswer: -5, -3, 4, 19, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36759 take away 9?\nAnswer: 36750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + w**2 - 185*w + 186. Let i be r(1). Let q(z) = 4*z - 18. Let n(l) = -12*l + 53. Give i*n(m) + 8*q(m).\nAnswer: -4*m + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.5 + 29.5. Let s be 2\/4 - (-2)\/16*-2. What is the closest to s in 1\/2, -0.8, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - 1*sqrt(1216)*-3) + 5 + (-1*sqrt(1216) - sqrt(1216))**2*-5*5.\nAnswer: -121595 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12020202 (base 3) to base 10.\nAnswer: -3827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5768424 to the power of 1\/2, to the nearest integer?\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1435101 (base 6) to base 11.\nAnswer: 57201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 8*i**2 + 6*i + 4. Calculate v(-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74.5 - 69.5. Let y be 4*-2*(-1)\/36. Sort -0.2, v, y in descending order.\nAnswer: v, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-102)\/(-32))\/((-38)\/456). What is the third smallest value in h, 1\/2, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from pwwyppwyypp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 193\/((-78165)\/4536)*(-15)\/(-18).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/4)*d*d)\/(d*d*d**(-8)))\/(d**0\/d*d*d\/d**(-5\/2)*d)*d**0\/d*d**(3\/4)*((d\/(d*d**6))\/d*d)\/d**(-1\/2) assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l**5 + 1768*l**4 - 127228*l**3 - 449376*l**2 + 397234*l + 177608 = 0. What is l?\nAnswer: -4, -1\/3, 1, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 57\/(-63) - 2. Let k = -13 - -14. Sort q, k, -0.4 in descending order.\nAnswer: k, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 15, -462\/5, 0, -3\/10, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from miiu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = -6. Let a(d) = 2*d - 3 + k*d - 2 - d. Let i(h) = -h + 1. Let n(t) = -a(t) - 5*i(t). Let m(q) = -q**2. Calculate n(m(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/28 and -59\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -7*m**4\/12 + 100*m**3\/9 - 154*m**2\/3 + 80*m\/3 - 968. Let i(c) = 0. What is c?\nAnswer: 2\/7, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -57?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 0*v - 1\/24*v**4 - 2*v**2 + 0 + 0*v**3. Let y(f) = -10*f - 2. Calculate -8*x(s) + y(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20040, 39954, 59868, 79782, 99696?\n\"Answer: 19914*d + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 0*j**3 - 4*j**3)*(-3 + 24*j**2 - 48*j**2 + 25*j**2 + 5*j).\nAnswer: -7*j**5 - 35*j**4 + 21*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-703)\/(-95) + 6\/10 + 595?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 6*k + 182. What is the greatest common divisor of k and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*c - l + 219 = -310*c, -3*c = -3*l + 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16797485*r**3 + 1 + r**2 - r**2 - 1 + 16797985*r**3.\nAnswer: 500*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 67?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2222*j + 2225*j - 30 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21305759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3396737560 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 + 1. Let i = -63 + 67. Which is the nearest to 1? (a) o (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 11*x - 3*x. Let w = x - -14. Factor -12*i**w + 2*i**2 - 12*i + 18*i**3 - 14*i**4 + 8*i + 10*i**5.\nAnswer: 2*i*(i - 1)**3*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*a - 109, 4*p - 2*a - 65 = 3*a. Suppose 5*m + 2*v + p = 4*m, -4*v + 14 = -m. Let y = -11 - m. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 109 + 38*g - 15*g - 13*g - 13*g. Is z(14) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 7 + 20. Let y = 18 + t. Find the first derivative of 4 - y*u - 2*u**2 + 9*u wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2367*b + 80*b + 9*b + 1291*b to the form h*b + x and give h.\nAnswer: 3747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.99714 - 26. Round f to four decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(-3)\/(-12)*(-63)\/21.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 117\/17?\nAnswer: 117\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1552*w - 1553*w + 24*o + 16 = -3*o, -w = -9*o - 16 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 25 = -5*u, -4*l - 10 = u + 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 43 = -y + 3, 4*y + 5*r - 151 = 0. What is the remainder when y is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508497.\nAnswer: 3, 11, 19, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -18.936. Let n = -0.105 - 0.013. Let z = a - n. What is z rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/22 and -2\/77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 8*g - 3. Let b = 623 - 589. Calculate the remainder when b is divided by z(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 + 1.02. Let w = 393 + -1177\/3. Let c = 5.06 + -0.06. What is the closest to b in w, c, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 710659530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36872335219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(26)\/sqrt(2)*2.\nAnswer: 4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2672*i**5 + 4168*i**4 - 4*i**3 + 71*i**2 + 3285123*i.\nAnswer: 160320*i**2 + 100032*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-4) + (-16)\/(-2). Suppose p - z + 2 = 0. Suppose v + 2*k - 36 = 0, -v - v + p*k = -112. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 10*p**2 + 12*p + 14. Give k(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/47 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 - 9*a - 3. Let m(t) = -3*t**2 - 8*t - 3. Let q(y) = 4*d(y) - 5*m(y). Let x be q(3). Which is bigger: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-252))\/((-2)\/(-16)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 (base 14) in base 13?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - u - 2*t - 33 = 0, 6 = -2*u - 4*t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 99, 0, -4, -3, -2, -160 in decreasing order.\nAnswer: 99, 5, 0, -2, -3, -4, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24787130 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 93, 5, 9.\nAnswer: -3, 4, 5, 9, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.511245 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 129*r**3 - 2*r**2 + r. Suppose -49*n - 34 = -h - 44*n, -104 = -4*h + 4*n. Calculate the smallest common multiple of h and o(1).\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66*k**3*w*y - k**3 - 280*k**2*w + 2*k*w - y wrt y.\nAnswer: -66*k**3*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16805 divided by 63\nAnswer: 16805\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10228106 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(104)*-2)\/(sqrt(88)\/(sqrt(11)*-4)).\nAnswer: 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3918260.\nAnswer: 2, 5, 195913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*x = 54, -2*c + 7*c = -2*x + 54. What is the common denominator of 3 - ((-819)\/(-30))\/7 and ((-472)\/(-12))\/(56\/c)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75665, -75659, -75653?\nAnswer: -75647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2275696486 and 1996.\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -6 - -10 - 13 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**3 - 5*c**3 - 17*c**3)*(50 + 9*c - 50)*(-2 + 1 - 2)*(3 - c - 3).\nAnswer: -783*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 32 - 243 + 6*b + 63. Calculate g(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 2*h - k - 3*k, -h = h + 2*k + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4531 - 42?\nAnswer: 4445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*q = -0*q - 92, -s + 2*q = -42. Calculate the greatest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r*r*r**(-8\/9)))\/r)\/r*r*r)\/(r*r**(1\/9)) assuming r is positive.\nAnswer: r**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvv when three letters picked without replacement from {x: 4, v: 15}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 684009642 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 645778307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.065 - -0.065. Let u = -4.51 + -1.41. Let q = u - k. What is q rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004669 to 7 dps.\nAnswer: 0.0000467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1332302 - -3022?\nAnswer: -1323220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/12 (b) 2 (c) 0.0381 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -0.5, 99, 7, -150 in descending order.\nAnswer: 99, 7, 3, -0.5, -1, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - (-94 - (-42 - -19)) - 62?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15376*i - 15388*i - 3*s - 18, 4*i + 3*s + 34 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -969, -1936, -2903, -3870, -4837?\nAnswer: -5804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 4\/19 (c) 3612\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 491 + -462 + (2 - 34).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2\/2 + 2985*h\/2 - 2991 = 0. What is h?\nAnswer: -997, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 9, 0.13, 5, 0.1, 0.42?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24 + 19 - -8)*(-80110)\/(-6). What is q rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 + 2*g + 1. Let w be u(-1). Let n = -47.01 + 47. Let m = 3.01 + n. Which is the biggest value? (a) 1 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*2008904.\nAnswer: 60267.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 608 - 607.8. Which is the second biggest value? (a) -0.12 (b) 0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3))\/j**(-1\/5))**13\/((j\/((j*j**(2\/17))\/j))\/j*j**0)**(4\/15) assuming j is positive.\nAnswer: j**(-5959\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 - 1 - 3*b**2 + 4 + 6*b**2. Let s(m) = m**3 + m**2 + 1. Suppose -4*q - 36 = 0, 5*u - 97*q + 33 = -99*q. Give u*s(f) + h(f).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**3 + 18*q**2 - 7*q - 15. Let g(r) = -3*r**3 - 9*r**2 + 3*r + 8. Let y(w) = 7*g(w) + 4*o(w). Let l be y(8). Are l and 9\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**6\/20 + v**4\/8 + 2*v**2. What is the second derivative of o(f) wrt f?\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**2 + 5038192*f + 1586461164304 = 0.\nAnswer: -629774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 g when three letters picked without replacement from {f: 1, h: 1, p: 3, l: 1, g: 4, a: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28221 - -1bc?\nAnswer: -28054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 494 in -0.027, 21, 4\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/17, 0.4 in decreasing order.\nAnswer: 0.4, 0, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4888173625 to the nearest integer?\nAnswer: 69915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11508*z**2 + 7859 with respect to z.\nAnswer: 23016*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203.38 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.9345*-2\nAnswer: -1.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2307, -0.1, -1\/16, -2, -4, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2584 - -2589. Solve -12 = -4*i - 4*y, 19*i - 15*i + m*y = 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.22 + 0.22. Let p = -36.6 + 20.3. Let b = f - p. What is b rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5 - 4\/5*p - 4\/5*p**2.\nAnswer: -4*(p - 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 - 3*m**2 + 4*m**2 + (-m - 7*m + m)*(-211*m - 50*m + 2*m) to g + d*m + h*m**2 and give h.\nAnswer: 1818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 2\/11 (c) 5 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1170d25 (base 14) to base 7.\nAnswer: 130610345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 4*t - 32 = -4*f, -4*t + 5*f + 1 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:30 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d. Let w(j) = -j**2 + 29. What is w(g(z))?\nAnswer: -25*z**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, -69, -4.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -7*d**2\/2 - 58*d + 5. Calculate the smallest common multiple of a(-9) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**3 + 1740*z**2 + 10575*z + 15930 = 0. Calculate z.\nAnswer: -3, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7192886 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - 3*b**2 - b**2)*(-4*b**2 + 2*b - 4*b - 4*b**2 + (0 - 1 + 3)*(-2*b**2 + 1 - 1) - b**2 - b + b).\nAnswer: -13*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/5 - 271232*y\/5 - 18391699456\/5 = 0.\nAnswer: -135616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -18672*b + 373436. What is o(20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 - 4*t**2 + 8*t - 26. Let k be f(2). Let h(d) = 8*d**3 - 2*d - 2. Let w(u) = -8*u**3 + 3*u + 3. Calculate k*h(x) + 4*w(x).\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -5) + 24 + -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498 + 245 + 517 = -70*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - s**2 + 4*s + 4. Let y(i) be the third derivative of i**6\/60 - i**5\/30 + i**4\/8 + i**3\/2 + 4*i**2. Let d(p) = -3*n(p) + 4*y(p). Factor d(c).\nAnswer: 5*c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y)\/(y**(1\/12)*y)*y\/(y*y**(-6)\/y)*y**1 assuming y is positive.\nAnswer: y**(95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.26, -1, -70081?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 6:22 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adcc when four letters picked without replacement from {a: 3, d: 1, c: 5}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f + 1. What is a(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 340.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 79*r**2 + 72*r - 1293. Give v(39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -9 + 0 + 6 - -178.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 8:36 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80316?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2646.1 - 2646.27881. What is b rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 402 + -391. Suppose -4*f + 3*w - 21 = -7*f, w - o = -3*f. Solve -4*i + 3*q - 20 = 0, -f*i + 6*i + 5*q + 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((343 - 376) + (0 - 40))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**2 + 286048080*w - 5113969004480400 = 0. What is w?\nAnswer: 35756010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**3 + 12*d + 43. Let b be w(-5). What is the greatest common factor of 84 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*v - 0*v - 137, -3*g + 83 = -2*v. Let r = g + -15. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 828304, 828296, 828276, 828238, 828176, 828084, 827956?\nAnswer: 827786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**5\/60 - x**4\/24 + x**3\/6 + 71*x**2. Let q(n) = 2*n**2 - 8*n + 8. Give q(k) - 8*t(k).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 5*l**2 - 3*l + 3. Let r be o(-4). Let h be 1 + -2 - 2\/r. Does 10 divide 10*2*1*h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -93 in 0, 10\/7, -0.5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 + 61. Let n = -33 - j. Let y(d) = 1 + 0*d + d + d. Determine y(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**3 + 19*k**2 - 226*k - 1039. Determine p(-5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3013235 (base 6) to base 4\nAnswer: 202222313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:38 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 300\/(-1530)*-17*2*(-1)\/(-3).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28587\/(-2199)*(-18)\/78\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233223 (base 5) to base 2.\nAnswer: 10000101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -1913*x**7\/210 - x**6\/40 - 4132*x**3\/3 - 3*x**2 - x - 1. Differentiate m(n) with respect to n.\nAnswer: -7652*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 23156*o**2 + 67025042*o.\nAnswer: 2*o*(o + 5789)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -12.9. Let f = v - 0.9. Let m = f + 4. What is the smallest value in -4, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15959.87l to millilitres.\nAnswer: 15959870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 113, 212, 357, 560, 833, 1188, 1637?\nAnswer: 2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 23\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22\/(-38540))\/(126235\/80940*-2). Let q = -2\/25247 + g. Let d = -366157\/260145 + q. Calculate the common denominator of 127\/30 and d.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/10155447 - -54571987457\/2173265658. Let z = -6\/107 - v. Calculate the common denominator of 71\/30 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-636)\/24)\/(-5*12\/(-30)*16\/64)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1228.844+-9\nAnswer: -1237.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811572334.\nAnswer: 2, 193, 2102519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14056 divided by -14.\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {g: 1, w: 2, e: 2, o: 5, b: 1, k: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-10))\/(((-51)\/15 - -2) + 1). Let f(o) be the third derivative of 0*o - 1\/120*o**6 + 15*o**2 + 0*o**5 + 5\/6*o**3 + 0*o**l + 0. What is f(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/10 and (8\/((-1728)\/52))\/(4\/28).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 20, 4*p + 7*d - 4*d = -12. Put 3, 2, p, 5 in ascending order.\nAnswer: p, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 1. Suppose -3*p = -3*w, -2*w - 4*p + p = -5. Let i(a) = a**2 + 5 - 15 + 9 + a + 1. What is w*i(n) + z(n)?\nAnswer: n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 3\/50*a**5 + 1\/10*a**4 + 0 + 1\/15*a**3 + 5*a + 1\/75*a**6 + 0*a**2. Factor p(w).\nAnswer: 2*w*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z - 69 + 36. Which is the closest to -0.1? (a) -4 (b) z (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**4 + 57633*t**3 + 276710427*t**2 - 830534757*t + 553766694 = 0.\nAnswer: -9607, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25385\/3 or -8462?\nAnswer: -8462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 29*y**3 - 2*y + 1. Give h(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -59.9 and -3.\nAnswer: -62.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2593154 tonnes?\nAnswer: 259315400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1137, -20, 10 in descending order.\nAnswer: 10, 0.1137, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127617 and 206?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2309000 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 11*r - 110. What is z(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -3) + 52\/2. Suppose -1 = -d + 1. Suppose -4*r = 4*x + 4, d = -2*x - 8. What is the highest common factor of f and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, 47, -3, -2.21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 363?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*j**2*q**2*x**3 + 7*j**2*q**2*x**2 + 2*j**2*q + 2*j**2*x**3 - j*x**3 + 6*j*x**2 wrt x?\nAnswer: 120*j**2*q**2 + 12*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, -10, -3.9, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**3\/2 + n. Let s(m) = -35*m**2 + 72*m**2 - 34*m**2. Calculate u(s(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7730 (b) -0.02 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 3651778?\nAnswer: 219106.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/5 - 483*v**4\/5 - 11903*v**3 - 287517*v**2\/5 - 228484*v\/5 = 0. What is v?\nAnswer: -239, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3459059689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*w + 2*p - 8, -p = -3*w + 22. Let r = w + -3. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 - 21*s**3 + 4*s**2 - 3*s**2 - s**3.\nAnswer: -19*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 1344 = 35*v - 5*u, -5*u + 6820 = -5*v. Let q = v + 1370. Suppose -y - 16 = -5*o - 2*y, 0 = 5*o + 2*y - 12. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhh. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -2 - (219 - 186) - 21?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -11*s - 102. Determine n(7).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 4483330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37471139945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -8, -18, -28, -38?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7866)\/(-8540) + (-9 - -6) - -2. Let v = 17\/70 + o. Calculate the common denominator of 27 and v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 168 = 4*n, 78*n - 163*n - 6*j = -81*n - 4*j + 84 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1945623 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39580274 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/4)\/((-5)\/380). Let h = l - 135\/7. What is the closest to -0.1 in -1\/4, h, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - 560460?\nAnswer: -560442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10872 and 12024?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -55, -201, -417, -697, -1035, -1425, -1861?\nAnswer: -2337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/13 or -1?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55275 is divided by 222?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -442221707 less than -9?\nAnswer: 442221698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5 = 5*l + 35, 3*s - 5*l = 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2373 + 0.1373. Which is the nearest to m? (a) 11\/3 (b) -0.1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7878559 to the nearest integer?\nAnswer: 2807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 7*q + 8. Let k be o(-4). Suppose 0 = -5*p + 2*p + 3*y + 684, -k*y + 243 = p. What is the greatest common factor of 21 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3293250345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/25)*w)\/w)\/w*w)\/(w*w\/((w\/(w*w**(-1\/22)))\/w)*w) assuming w is positive.\nAnswer: w**(-2219\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5831)\/245 + 49 - 25. Let -h*a**2 + 6\/5 + 1\/5*a = 0. What is a?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o + 9 = 0. Let g be 1010003 - (-6)\/(1 - o). What is g rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:42 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/5 + (-36)\/45 + 141\/(-47)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/((-735)\/(-28)))\/(44\/10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -356*m - 721. Give c(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -112.21329 to one dp.\nAnswer: -112.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662371 is divided by 165577?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6) + (-3298)\/(-1386). Let u be ((-1292)\/(-1122))\/(-2*(1 - 4)). Let g = h + u. Calculate the common denominator of g and -15\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -24. Let i = 12 - b. Let w be -2 + 1 + i\/(-1). What is the greatest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58223823?\nAnswer: 3, 7, 1283, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -6. Let h = x - 8. Which is the third smallest value? (a) -0.4 (b) h (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 2. Let a(p) = -15*p - 3. Let w(n) = -n - 1. Let s(f) = a(f) - 2*w(f). Let l be s(-1). Let j = -14 + l. Determine t(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = -8, 5*h = 2*i + 5232. Suppose -2*o = 150 + h. What is o rounded to the nearest 10?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50168 greater than 50166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -24735880 to the nearest one hundred thousand.\nAnswer: -24700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 198 - 18 = 0. What is the tens digit of 0 - (-3 + f - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-21))\/(30\/210).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h. Let x = h + 2. Factor 5*u**2 + 0*u**2 - u**2 + x*u**3.\nAnswer: 2*u**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - -0.8. Let p = 18.7 + -17. Let x = 2.2 - p. Which is the closest to z? (a) x (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -4. Suppose -c = 1 - i. Suppose -5*r = 2*o - 251, 2*r - 100 = -c*r - o. List the prime factors of r.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123567?\nAnswer: 3, 41189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 3*u - 2*u + 102 - 6*u.\nAnswer: -14*u + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*u - 4*r, -u - 3390*r = -3386*r + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3299*l**2 - 8*l + 8. List the prime factors of s(1).\nAnswer: 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + l**2 + 3*l**4)*(-21 + 6*l + 21) + (l**3 + 234 - 234)*(-3*l**2 - l**2 + 2*l**2).\nAnswer: 16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392 and 210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 44*i - 122. Let w be r(3). Suppose 4*a + 14*b = 13*b + w, 3*a - 2*b - 2 = 0. Solve d - a*d - 1 = p, 2*d = p + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*j + 100 = -576*j + 1290 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - v - 14 + 3 = 0, 2 = -h - 4*v. Suppose 6*t - 303 = -3*r + h*t, -4*r - 4*t = -400. Calculate the remainder when r is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42363.\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 10:14 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*a + 60, 3*a = -4*l + 4*a + 74. Let d be (-6)\/l + (-14)\/(-6). Solve 0 = 4*z - 2*w - 2, -2*w + 0 = d*z - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-110))\/(3\/(-15))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46158.6us to minutes.\nAnswer: 0.00076931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x**2. Let b be 9 - (27 - 20)\/((-2)\/(-2)). Let v(g) be the first derivative of 0*g**b - 2\/3*g**3 - 21 + 0*g. What is w(v(l))?\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**3 + 2*c**2 + 5*c + 4. Let t(m) = -21*m + 8*m**3 - 14*m**3 + 20*m - 1 + 7*m**3. Let j be (-2 + (-9)\/(-6))\/(1\/2). Determine j*q(b) - 4*t(b).\nAnswer: 3*b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - -33 - (3 - 1))\/(15\/5445*22)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**5\/2 + r**4\/6 + r**3\/45 - 99*r**2\/2 + 38. Let q(o) be the second derivative of m(o). Find p such that q(p) = 0.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11162 smaller than 11154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.07 + 24. Let u = n + -0.23. What is the nearest to u in -1, 0.5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 400 and 6900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 377058978 divided by -6\nAnswer: -62843163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11203 - -122021?\nAnswer: 110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 448*x**3 - 35 + 455*x**3 + 19.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + 3*sqrt(343) + 4))**2.\nAnswer: -42*sqrt(7) + 3088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 772 - 751. Let v(s) be the first derivative of 5*s**4\/2 + 2*s + 1. Calculate the remainder when v(2) is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m**(-2\/3)*m))**(10\/9)*(m*m*m**5)\/m**(2\/17) assuming m is positive.\nAnswer: m**(2479\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6957*d**2*g - 11*d**2*s - 3*d**2 - 43*d*s + 2*d + 30*g*s + 4*g + 7*s wrt g?\nAnswer: 6957*d**2 + 30*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**3\/3 - 18. Let g(m) = m**3 + 3*m**2 - 2. Let i be g(-2). Let u(t) = -7*t - 5*t - i*t. What is q(u(p))?\nAnswer: -196*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -47*1709499\nAnswer: -80346453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + (sqrt(108) - -4*-3*sqrt(108)) + sqrt(108))\/sqrt(4).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -35.94. What is d rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f7cfac + 0?\nAnswer: 7f7cfac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005515960524 rounded to 7 decimal places?\nAnswer: 0.005516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 + -11452?\nAnswer: -11405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1361296)\/40)\/(12\/(-30)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 7 = -3. Let q be (3 - -1)\/(p - -2). Let f(l) = -3*l - 2. What is f(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -279 - -296 - (2 - 0)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15.47571 and 0.2299.\nAnswer: -15.24581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351131.\nAnswer: 11, 137, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6716*u + 58. Calculate y(0).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 500458698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 7*f + 168 = 0. Solve 0 = 2*y + s, 4*y - f = 4*s + s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u**(4\/11)*u)))**(-39)*(u**1)**(-3\/14) assuming u is positive.\nAnswer: u**(-14229\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83320*o**2 + 83320*o**2 - 141 + 30*o**3 - 98*o**3 wrt o.\nAnswer: -204*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.4029 millilitres to litres.\nAnswer: 0.0854029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 9*v**2 - 2*v + 68. Let h be d(-8). Solve -h = -6*t + t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.127 - 0.127. Let d = 34.44 - -0.56. Let n = 30 - d. Sort v, -1\/5, n in ascending order.\nAnswer: n, -1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) 4\/5 (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 420 and 945.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -74, 0 in decreasing order.\nAnswer: 4, 3, 0, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 0.08, 1, 1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 1439*k + 1435*k + 10, -3*p - 4*k + 18 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(0 - 1)\/(-5). Let w = 3.23 + -0.23. Let s be (1 - 11\/9) + 0. Which is the second smallest value? (a) w (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 7*h - 31. Let t be g(10). Let j(o) = -11*o - 7. Let d be j(t). Put d, 1, 0 in descending order.\nAnswer: d, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -1580214?\nAnswer: 1580216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + n - 1 - 1)*(4*n - 7*n + 2*n**3 + 0*n) + (0*n - 4*n + 3*n)*(5 - 5 + 3*n**3).\nAnswer: -n**4 - 4*n**3 - 3*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73\/415 - 2\/83. Let u = -24 + 20. Which is the smallest value? (a) u (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)*d)\/d**(-2\/75) assuming d is positive.\nAnswer: d**(9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/9 and -113\/888.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 q when three letters picked without replacement from qzqzzqqqzqqzqqqqqq.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 214*y**2 + 4918*y + 15. Give m(-23).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6652 - 3530. List the prime factors of d.\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -5*c + 32 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3*q + 24, 8 = -4*q - 0. Let d = c - -15. Suppose -7 = -d*v - 2. Is v >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-3)*(-28)\/140)\/(-18)*186\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -26, -63, -128, -227, -366, -551?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*x - 3856 = 319 - 1655 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.2485mm in centimeters?\nAnswer: 16.92485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0*q**2 - 8*q**2 + 8173*q - 8176*q + q**3 - 8. Calculate j(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + -0.29. Round v to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + k + 5. Let h(i) = i**2 - 8 + 0*i**2 + 9. Determine -4*h(l) + u(l).\nAnswer: -2*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, x: 1, c: 1, s: 4, e: 1, v: 4}. What is prob of picking 1 e, 2 v, and 1 s?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-3 - (-24)\/16))*52. Which is smaller: u or 28?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 972 + -940. Solve -9*x + 17*x - y = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/4)*n**(-15)\/n assuming n is positive.\nAnswer: n**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 - 34*z + 104 = 0. What is z?\nAnswer: 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27215541.01 rounded to the nearest 1000?\nAnswer: 27216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, p: 3, v: 1}. What is prob of picking 1 v and 1 e?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280272 and 70068.\nAnswer: 280272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 42*o - 10. Does 42 divide g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703122422 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5064 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298 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: Let j = 193 + -175. Suppose 0 = -2*o - 3*m + j, -10 = 5*o - 4*m - 55. What is the remainder when 23 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 0*u + 2. What are the prime factors of (-150)\/6*(-2 + u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-3) + -4 + (-8)\/2. Find the second derivative of o + 29*o**5 - 5 + 8*o**5 + k*o + 3 wrt o.\nAnswer: 740*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 206749*i**3 - 3*i**2 - 2*i + 5. Is k(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/34, 4, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36925\/8 - 4627. Find the common denominator of -49\/78 and x.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27252*v - 23712*v + 3810*v + 7585*v + 3974*v in the form p + g*v and give g.\nAnswer: -35595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 - (-11 + 3 - (-19 + 34 - 30)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2 - 3*d + 1. Let p = 38 + -36. Let w be m(p). Differentiate 5 - w*l**3 - 2 + 3 - 7 wrt l.\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-88)\/(-24))\/1)\/((-165)\/180)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5687688 divided by 12.\nAnswer: 473974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77290738 is divided by 176.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -62 - (178 + -154)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 6 - -1) + -617 + 628?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1643662457?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - z**2 - 2. Let y(x) = -46*x**2 - 48*x. Let l be y(-1). Let m(u) = -4*u**3 - 3*u**2 - u - 5. Calculate l*m(a) - 5*h(a).\nAnswer: 2*a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (2 - 3) - (-63 - -60). What is the units digit of (157416\/(-252))\/(1\/(3\/i))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2170590 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(112) + -1 - (1 + (sqrt(112) - (0 + sqrt(112)))))**2*-5.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25 - -14 - (1 + -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**5\/60 + a**4\/4 - 13*a**3\/6 - 12*a**2. Let x be u(-9). Suppose -5*y + x + 6 = 0. Solve -3*z - y = -16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136549*w**2 + 90*w**3 + 136549*w**2.\nAnswer: 90*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 2*f + 681. Calculate b(-29).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.0311972 - 7.1012. Let x = w + 0.07. Round x to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-7 - -1) + 351 + -345.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -7 + -5 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 326.77, -5 in ascending order.\nAnswer: -5, 2\/3, 326.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -8*d + 11*d - 13, 4*v - 5*d + 7 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icttppiicit. Give prob of sequence cpct.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + o + 141 = -304, 0 = -p - 2*o + 210. Calculate the common denominator of 315\/p - 2\/(-8) and 21\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2500)\/(-5250)*(-9)\/120?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92558*w**6 + 3752*w**2 - 5*w - 1?\nAnswer: 11106960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 403, 852, 1301, 1750?\n\"Answer: 449*w - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, k: 1}. Give prob of sequence kc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 327, -1 in descending order.\nAnswer: 327, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5185*h - 875 - 1109 = 2670*h + 2639*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-194)\/(-7) - 9 - (-2)\/7. Suppose -6 = j*u - 291. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -71, -129, -207, -311, -447, -621, -839?\nAnswer: -1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**6\/270 + n**5\/90 - n**4\/108 - n**3\/27 - 21*n. Factor d(x).\nAnswer: x*(x - 1)*(x + 1)*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 at least 111556\/153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/108 and -49\/196128.\nAnswer: 196128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 76, -3, -5, -15, -130 in decreasing order.\nAnswer: 76, 4, -3, -5, -15, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, t: 4, j: 6, i: 3, h: 3}. What is prob of picking 2 h?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-1))\/(33\/(-22)). Let w be (-1)\/l - 147\/(-2). Let m = w + -71. Solve p - m*p - 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25338 * 32.2.\nAnswer: 815883.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2421.89 + -2432. Round g to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2, -16, -5, 2 in descending order.\nAnswer: 17, 2, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 - (-1 + 0). Suppose 4*n = 4*o + 92, -3*n - 4*o = -0*n - 55. Let m = 24 - n. Solve m*r - 4*f - 1 - 3 = 0, 2*f + 2 = k*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1418267?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - 1 - 11400\/(-15). Suppose a = 2*v + 607. What is the remainder when v is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 - 3*p**2 + 7*p + 8. Let u(c) = -5*c**3 + 4*c**2 - 11*c - 12. Let k(h) = 8*f(h) + 5*u(h). Factor k(r).\nAnswer: -(r - 1)*(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + (-38 - -45) - 30?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(1\/3)*u)*u\/(u\/(u\/(u\/(u**(-2\/3)\/u)))))**(-8\/13)\/((u**(-1))**(-4\/15)\/(u**(-1)\/(u**5*u*u))) assuming u is positive.\nAnswer: u**(-1492\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyfyyyffyyyyyyyy. Give prob of picking 2 y.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 3*i**3\/2 - i**2 + 18*i. Give k(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4 + 4)\/(-4))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 20 - 3)*(-2*a + 0*a + 4*a) - a - a + a.\nAnswer: -67*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -3\/2, 0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/7 + 137129150*c\/7 + 137129152\/7 = 0. Calculate c.\nAnswer: -1, 68564576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -30*f - 50\/3*f**3 + 31 + 0*f**2. What is the derivative of k(p) wrt p?\nAnswer: -100*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 4*n**2 + 4. Suppose -5*r - 4*t + 65 = 0, 5*r = t + 27 + 13. Calculate the lowest common multiple of x(-4) and 56\/(-6)*r\/(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 27*f. Let b(g) = -13*g. Let q(l) = 13*b(l) + 6*u(l). Let a(j) = 81904*j - 15*j**2 - 81904*j. Calculate a(q(x)).\nAnswer: -735*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1285537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1300) + 4) + -3 + sqrt(1300) + -2 + -3 + sqrt(1300) + 2)**2.\nAnswer: 1960*sqrt(13) + 63896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, o: 6}. Give prob of sequence oof.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326, -1179, -2586, -4547, -7062, -10131?\nAnswer: -13754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -187 - -172. What is the common denominator of (1\/2)\/((-5)\/(-121)) and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11811 is divided by 134.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) - (-3)\/(-9). Let m be 2 + v + 28\/4. Suppose -5*r + 5*h = -80, 0*h + 12 = -3*h. Calculate the greatest common factor of r and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 9:46 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 513763?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, u: 2, p: 4, o: 4, d: 1}. Give prob of picking 1 o, 1 i, and 1 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-5 + -29 - (-61 + 69)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 780.76 - 788. Let x = r + 7.14. Which is the third biggest value? (a) x (b) 2\/11 (c) 2 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/j*j**(-15)*j**(-2\/7)\/(j\/(j**12*j)))**(-1\/5) assuming j is positive.\nAnswer: j**(58\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 0*j**3 - 3*j**2 + 0*j - 2\/5*j**5 + 0*j**4 + 16. Find the second derivative of q(x) wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/8 and -17\/252.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30620, 30618, 30604, 30578, 30540?\n\"Answer: -6*y**2 + 16*y + 30610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -293125, -1, -3\/5.\nAnswer: -293125, -1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22312443 + -14?\nAnswer: 22312426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1, 7.\nAnswer: -5, -4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*1*(4 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44237786 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21260 - 21250. Solve -o = -8*g - 74 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + 0 + 1 - 3)*(0 + 0 + 12*p).\nAnswer: 12*p**5 - 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 + 2120013?\nAnswer: 2113212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13418 - 13418.1. Let w = -0.1 - -0.2. What is the nearest to -0.05 in -2\/13, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnuucn. Give prob of picking 2 u and 2 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3 (c) -2\/9 (d) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 11*c - 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2970 and 6300?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39466 and 38513178?\nAnswer: 5638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 279786 and 5064.\nAnswer: 1119144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 295*j**3 + 105*j**2 - 25*j + 10. Let f(c) = -443*c**3 - 158*c**2 + 37*c - 14. Let z(n) = 7*a(n) + 5*f(n). Let z(b) = 0. Calculate b.\nAnswer: -1\/2, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 76 - 132 = 0. Let f = 279 - 193. Suppose -3*l - 4*d + 6 = -f, 2*d + i = 2*l. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2082496 by -48.\nAnswer: 130156\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*m + 3*m**2 + 14*m - m**2 - 3*m**2 to the form k*m + h + w*m**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**2 - 20. Let h(t) = 3 - 130*t + 2 + 113*t. Determine m(h(b)).\nAnswer: -34*b + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1165 = -45*c + 116*c - 2125 - 1880 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**3 + 2*a - 1. Let y(n) = -11*n**3 - 4*n + 2. Let v(l) = -5*d(l) - 2*y(l). Calculate v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22043, 22137, 22231?\nAnswer: 22325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 443 - 539. Let w = m - -97. Which is the closest to w? (a) -4 (b) -3\/5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11281 * 0.2.\nAnswer: -2256.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**2 + 352*o = 0 for o.\nAnswer: 0, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38699 + -232099\/6. Let v be -1*3 + 1239\/448. Let r = -3847\/576 - v. Calculate the common denominator of w and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 3*a - a**4 + (7*a**2 - 2*a**2 + 6*a**2)*(-4*a**2 + 3*a**2 + 0*a**2) to f*a**3 + i*a + j + o*a**4 + q*a**2 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 106659.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 2. Let g be i(5). Let h(k) = -k + 3. Let j be h(g). Solve j = 3*a - 7 - 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 8*b**2 - 19*b + 5. Let l be h(-10). What is the nearest to -0.1 in l, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5289 rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -36 + 31 + 1 + 1 + 1. Let i(n) = -129*n**2 + 91*n + 4. Let f(b) = -b + 2. Let z(s) = l*f(s) + i(s). Find the second derivative of z(u) wrt u.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112564 divided by -274.\nAnswer: 56282\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anjfjajjaaajffjaf. What is prob of picking 2 f and 2 a?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -6. What is the remainder when 22 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*a**3\/9 - 15656*a**2\/9 + 2823238*a\/3.\nAnswer: -2*a*(a + 1991)*(5*a - 2127)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1641965.\nAnswer: 5, 13, 25261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x - 45 + 0*x + 449*x**2 - 448*x**2 - 28. What is n(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*g - 3*i - 129, 5*i + 1 = -4*g - 166 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3\/2 + 677021*o**2\/2 + 57310416800*o + 5326941387264 = 0?\nAnswer: -338464, -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*c + 342*c + 26 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r. Let q(y) = -y. Let s(b) = -2*k(b) - 10*q(b). Suppose -4*x + 2*g = -g - 12, 4*x - g = 12. Let i(p) = 3 - x + 3*p. Calculate i(s(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -15855 + 15855 + 8*c**2. Let q(p) = -p**2. Calculate b(q(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35714711 divided by -101.\nAnswer: 353611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 0.0268, -0.3 in increasing order.\nAnswer: -0.3, 0, 0.0268, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*g**3 - 2*g + 2*g - 1470*g**3 - 469*g**3.\nAnswer: -1904*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.32636 rounded to the nearest integer?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-11 + -16 - 15) + 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101179483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 8:14 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 899*d**6*f**2 + d**3*f**3 - 2*d**2 - 11*f**3 - 3*f + 2 wrt d.\nAnswer: 107880*d**3*f**2 + 6*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 10*y**2. Let q(f) = 1 + 81*f + 105*f - 223*f. Give g(q(x)).\nAnswer: 13690*x**2 - 740*x + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -209 + 389. Suppose k + 5*a = 22, -4*k + 0*k + 3*a + v = 0. Calculate the greatest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*n + 207, -5*x + 6 = -3*x. Let o(l) = 75*l**2 + 1796*l - 83. Let p be o(-24). Calculate the greatest common factor of n and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1 + 5 + t - 12 - 14. Let q be k(18). Put 1, 3, q in descending order.\nAnswer: 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 128, 75, 4, 3 in increasing order.\nAnswer: -1, 0, 3, 4, 75, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -3. Let k(u) = -u**3 - 4*u**2 - 2*u - 3. Let q be k(-3). Let g = y + q. Which is smaller: g or -6\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*o - 444, 4*o - o = 2*b - 218. Let y = -92 + b. What is the least common multiple of y and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = 22*p + 110 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351.9805 weeks to seconds.\nAnswer: 212877806.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9778919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbheybbchecbcwb. What is prob of picking 1 y, 1 h, and 1 w?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 25*m - 9*m + 1457 = 0. Calculate the greatest common factor of 25709 and m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 = k, 5*w - 4 - 11 = 5*k. Let r be 21\/4 - w\/(-4). Solve u + r = 6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19562, -78264, -176096, -313052, -489126, -704312, -958604, -1251996?\nAnswer: -1584482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1 + sqrt(4032) - sqrt(4032)) + sqrt(252)\/sqrt(4)*3)*4 + 5)**2.\nAnswer: -12528*sqrt(7) + 327433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 1058*o - 308. Let c(v) = 4*v**2 + 2122*v - 616. Let z(i) = 3*c(i) - 5*l(i). Factor z(x).\nAnswer: (x + 154)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 950 and 1900?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {j: 4, k: 1, w: 2, g: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 144*x**2 + 1140*x.\nAnswer: 3*x*(x + 10)*(x + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from hednnhhhaneh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4283 and 16408?\nAnswer: 70275464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1062677914*d**3 + 2347*d**2 - 2*d - 105910 wrt d?\nAnswer: 6376067484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 2*z - 5. Let s be a(-4). Let l(j) = j + 1 + s*j + j**2 + 2*j. What is the lowest common multiple of 4 and l(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*3\/(-10)*8\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1188 and 7884.\nAnswer: 86724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 256.98 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60694829?\nAnswer: 13, 83, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108512 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 + -74. Let k = l + 219. Is k a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -501312 (base 8) to base 4\nAnswer: -220023022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) -55 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8325?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.5, -2\/7, -2, -20.62 in descending order.\nAnswer: 1, -2\/7, -0.5, -2, -20.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h = 2. Suppose -h*j = -5*j - 6. Suppose -5*s - 7*f + 29 = 6, 21 = -s + 5*f. Is s at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 13. Let l = -11 - u. Suppose -g + 92 = l*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-132)*-11 - 11\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 531.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -15. Let c(p) = 3*p + 3. Let g(a) = -a - 1. Let l(s) = c(s) + 2*g(s). Let d(u) = 3*u + 3. Determine b*l(q) + 4*d(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmggmffnmmmzfnm. Give prob of sequence nzm.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-69) - (-1 + (-34)\/3) - -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113389 + 369187 = 4182*l - 325500 for l.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -47, 1\/19, 0.28, -2, -40.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22705805*p**2 - 10441900*p + 1200500.\nAnswer: 5*(2131*p - 490)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-56)\/4)\/(1*-2). Let a(i) = -i**3 - 2*i**2 - 2*i - 3. Let h be a(-2). Let y be (49 + 0)*(h - 0). Calculate the greatest common divisor of y and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001001000000 (base 2) in base 4?\nAnswer: -12021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 2*f - 4*f + (5*f - 3*f + 0*f)*(2 + 0 + 0) - 2*f - 2 + 2)*(-48 - 39 + 30).\nAnswer: -57*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -24. What is the smallest value in -16, d, -2\/13?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 + ((1 - -34) + (-3 - 9) - 11)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 1403.33?\nAnswer: -1406.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**4\/12 - 187*d**3\/6 - 150*d**2. Let v(r) = 2*r - 93. Let h(y) = 6*q(y) - 11*v(y). What is the derivative of h(c) wrt c?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5056, -4998, -4888, -4726, -4512?\nAnswer: -4246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, a: 12}. What is prob of picking 3 b?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 369944 or 369946?\nAnswer: 369944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12765\/4 - 3190. Let n(d) be the second derivative of 0*d**2 + j*d**4 + 0 + 17*d - 5\/3*d**3 + 5\/4*d**5. What is i in n(i) = 0?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2 = 3*q + 6, 4*o + 12 = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178210 is divided by 17821.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {g: 4, o: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 363352 and 616.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -6 + (11 - 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -43\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdh when three letters picked without replacement from {d: 2, h: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*(-1)\/((-2)\/212) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(80)*-4 - sqrt(80))*-1 + -2))**2 - (-1*4*-4*sqrt(80)*3)**2.\nAnswer: -134220 - 2000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(sqrt(117)*1 - sqrt(91)\/(sqrt(63) + sqrt(7)) - -4*(sqrt(637) + -2)**2) + -1.\nAnswer: -437*sqrt(13) + 10253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*y + 96*y - 2*s - 15, 0 = -6*y - 5*s - 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13))**31 assuming m is positive.\nAnswer: m**(-403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -9. Let t = w + -1. Which is the smallest value? (a) t (b) -2\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/2)*b)\/(b*(b\/(b*b*b**(-10))*b)\/b) assuming b is positive.\nAnswer: b**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**4\/12 - 23*f. Let z(g) = -3*g**2 + 5*g - 5. Let o(a) = -4*a**2 + 6*a - 6. Let x(k) = 5*o(k) - 6*z(k). Calculate x(t(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*u - 82101 = 1612*u - 11415 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2. Let h(x) be the third derivative of 106*x**5\/5 + 189*x**2. Give h(m(o)).\nAnswer: 5088*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 1)*(5*k + 2*k + k) + 1 - k - 1)*(-4*k**2 + 4*k**2 + 2*k**2 + (-6*k - 2*k + 5*k)*(9 + 6 + 8)*(-k + 0*k + 6*k)).\nAnswer: -5145*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115250, 230487, 345724, 460961, 576198?\nAnswer: 691435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 2 (b) 38513 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3500*u**4 - 6*u**3 + 186643*u**2 wrt u.\nAnswer: 84000*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 - -59. Which is the nearest to -0.1? (a) 1\/2 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 11. Suppose -2*w - 2*m - 2*m = 4, 0 = h*m + 8. What is the second derivative of v + 4*v**2 - w*v**2 + 0*v wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 3*q - 3*q)*(-32236 + 16126 - 25284)*(1 + 0 - 3)*(-2 + 0 + 0).\nAnswer: -165576*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1*(sqrt(133) + (sqrt(133) - -1*sqrt(133)) - sqrt(133)) - sqrt(133))*6)\/(4*(2*sqrt(343) + sqrt(343))).\nAnswer: -3*sqrt(19)\/14 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Suppose k = -5*w + 774 - 319. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -3, 0.1, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**38\/c**(5\/7) assuming c is positive.\nAnswer: c**(261\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(13) + 0 - (4 + sqrt(832)*1 + sqrt(832))**2) + 0 + 5 + sqrt(3328) + 1.\nAnswer: -3339 - 111*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 4*n + 12 = 0. Let j be (n + 3)\/6 + 1 + 0. Which is smaller: 8\/11 or j?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643041301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769699 is divided by 184.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11515676321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from coooccoocoo?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 165 (c) -2.808 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 10329.\nAnswer: 82632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/5040)\/((-4)\/15).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*a - 15. Suppose 2*v - 2*n + 10 = 26, -a*n = -v. What is the greatest common divisor of v and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(4\/19))\/(m*m*m\/(m*m*m\/m**(-16\/3))*m))\/((m\/(m\/m**(-1)))\/m)**23 assuming m is positive.\nAnswer: m**(2938\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 - -121. Let c(o) = -2*o + 12. Let s be c(7). What is the second biggest value in s, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 5. Suppose -j + 3*o - 11 = 0, -3*j - 26 = j - 3*o. Let s be r(j). Solve -2*m = -7*m - s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/5))**(-5)*d**12*d\/d**0 assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111643733*b**5 + 1943146*b**2 + 13*b?\nAnswer: 6698623980*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g = -31*g. Sort 0.2, g, -4, 0.05 in increasing order.\nAnswer: -4, g, 0.05, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((32 - 19) + 1 - 18 - -7) + (0 - -11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z + 2200 = 67*z + 54*z. Let i(m) = -m**2 + 26*m - 33. Determine i(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 + 1502\/25. Suppose -33*b = 13*b + 92. Let u = -23 - -22. Put 3, u, o, b in decreasing order.\nAnswer: 3, o, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68951679, 137903353, 206855019, 275806677, 344758327?\nAnswer: 413709969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 132 = 7*x. Let z = -9 - x. Suppose y - 5*p = 7, 3*p = -4*y + 8*p + 43. Which is smaller: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 13*l + 893. Let b be o(-23). What is the highest common divisor of 504 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m**5\/11 + 50074*m**4\/11 - 791460*m**3\/11 - 462202*m**2 - 9237640*m\/11 - 5271000\/11 = 0. Calculate m.\nAnswer: -6275, -2, -5\/4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3276*d**3 - 265396*d**2 + 1110600*d + 13600 = 0.\nAnswer: -85, -10\/819, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 2:09 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -9*w**3 + 4*w - 2. Let y be n(2). Let m be (-20)\/(-11) - (276\/y - -4). Suppose 8*a = -m*a + 40. Solve -2*j + a = -2*q, j + 4*j + 5 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + 5. Let p(y) = y**2 + y - 1. Let o(b) = -b + 2. Let k(d) = o(d) + p(d). Let x(w) = -5*k(w) + u(w). Let s(f) = -f. Calculate s(x(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 9)*(-4 - 252) - 6. Let z = -1528 + d. Let i be (-97)\/(-3) + (-2)\/6. Solve o - 5*n - i = -z*o, -o + 12 = -2*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**4\/6 - 2*n**3\/3 + 33*n**2. What is the remainder when 190 is divided by f(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1014*r**3 + 5 - 3 - 13739*r + 13739*r.\nAnswer: 1014*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410, -1636, -3680, -6542, -10222?\nAnswer: -14720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 89791056 and 209512464.\nAnswer: 628537392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 106, 1, -5 in descending order.\nAnswer: 106, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.1 - -8. Which is smaller: a or 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 16*n - 42 = 0. Let k = -43 - n. Let t be 2 - k\/((-4)\/(-20792)). Round t to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*u - 311*u = 153 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Let y = 80959\/689163 - -7\/40539. Sort 0.2, q, -4, y in decreasing order.\nAnswer: 0.2, y, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/20 of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:50 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938212 is divided by 2218.\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5005\/12 + 418. Find the common denominator of n and 27\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13049\/19 + 687. Suppose -5*t + 4*t - 4*t = 0. Are b and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 326.2797l?\nAnswer: 326279.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2411530732?\nAnswer: 2, 13, 67, 173, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*u - 3*a, -2*a - 26 = -6*u + u. Solve 2*m + u = -h, -m + h = 2*h + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*s**3*y**4 + 28011*s**3*y + 8*s**3 + 16*s + 22 wrt y?\nAnswer: -8*s**3*y**3 + 28011*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 8:10 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t - 35*t = 34 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-450)\/(-180)*8\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4498659 and 133407?\nAnswer: 2187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 + 9649*r - 4826*r + 2*r**3 + 0*r**3 - 7 - 4817*r to the form m + q*r + j*r**2 + i*r**3 + o*r**4 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659933215.\nAnswer: 5, 79, 1670717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 542857 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 721 divided by 103?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/15)*v*v)\/(((v\/(v**(3\/5)\/v))\/v)\/v))\/((v\/(v\/((v\/(v\/(v*v**(-9)*v))*v)\/v)))\/((v*v*(v\/v**(-7\/4))\/v)\/v)))**(-19) assuming v is positive.\nAnswer: v**(-15371\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58a - -3?\nAnswer: 58d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6988.014 millennia?\nAnswer: 698801.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rmrjkzejkjek?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:40 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8387845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10697654 divided by -11.\nAnswer: -972514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106838101625.000002024 - -106838102064. Let b = 439 - y. What is b rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -550)\/((-1)\/2). What is x rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2062, -8587, -19596, -35095, -55090?\n\"Answer: -n**3 - 2236*n**2 + 190*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 23484.66754.\nAnswer: 23484.46754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96*13*(-56)\/2184.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 11:35 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 94*c**3 + 1. Let f be 0 + -1 - 12\/(-3). Suppose 5*y = f*o + 22, -y = -5*o - 2*y + 10. Is h(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 = 0, 5*i + 2*w - 8110 - 4655 = 0. Let k = 25523\/10 - i. What is the common denominator of 93\/8 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-1065)*5\/(-14)*(-966)\/414. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*r + 745. Sort r, -5, 1.\nAnswer: r, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 8. Let m be k(5). Let i(v) = -12*v + 81. Let p be i(7). What is the second smallest value in -0.1, p, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(30\/(-399)) + 33*(-88)\/7260?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 499850615 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -3*w + 6, 47*f + 2*w = 57*f + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 90, 3 in descending order.\nAnswer: 90, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43640 is divided by 11969?\nAnswer: 7733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.8 - 0.2. Let z = 31 + r. Let w = -13 + z. Sort 0.5, w, -2 in increasing order.\nAnswer: -2, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 717\/86 + -2776\/645. What is the common denominator of g and (264\/(-108))\/((-28)\/35)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g - 3*g - 4*g)*(5*g + 3*g - 2*g)*(751 - 751 - 103*g) in the form x*g**3 + m*g**2 + r + v*g and give x.\nAnswer: 1236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 134325707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7*-2290.758\nAnswer: -16035.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 729*g - 718*g + 418 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = 10, 2*f + 2 = -3*n. Let t be 2 - -114 - (10\/(-4) - (-18)\/(-12)). Suppose -t = f*c - 7*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -14*z + 110 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.55 + -3.998. Let r = d + -4.4. Let s = r - 0.1520146. Round s to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44.1 * 2.9\nAnswer: -127.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 20110373?\nAnswer: 20110372.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:09 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.18 - -0.32. Suppose 0 = 2*s - 7*s. Suppose x + 3 = -s*m - 2*m, m + 4 = -x. What is the closest to x in 1\/3, 5, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23204309?\nAnswer: 23, 367, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -7*o + 4*o. Let t be ((-4)\/10)\/(o\/440). Let k(a) = -12*a + 10. Is k(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21306.79 hours?\nAnswer: 76704444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 731 and 4777.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -26*t + 48. Which is bigger: t or 63\/22?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22328.\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -35606, -16, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*u + 17*u. Let y be 2\/(44\/12 + 2 + u). Let x = -216 - -2810\/13. Which is the biggest value? (a) x (b) y (c) 2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 0.11, -32556, 1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -28, -6, 4 in increasing order.\nAnswer: -28, -6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 11 = -3*b, 4 = 22*q - 40*q + 20*q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 38982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124800 is divided by 3565?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 8:34 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-7)*14\/(-3). Let l be 29889\/q + (-9)\/(-12). Let w be (-4)\/6 - l\/(-18). Round w to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8106285)\/172645 + (-2)\/43?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 14*n**2 - 12*n - 14. Let i be u(13). Let f = i - 0. Let m(l) = l**2. Determine m(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10808 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2639 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11715560 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -67?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*d**2 - 49*d**3 + 123*d**2 + 35*d**3 + 13*d**3 - 77*d**2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7 + 3. Let f = i - -1. Let o be 50\/8*4\/(-10). Put o, f, -0.3 in descending order.\nAnswer: f, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**2 - 5*l + 11. Let k(m) = m**2 - m + 2. Let i(x) = -6*k(x) + p(x). Determine i(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 52496633.\nAnswer: -26248316.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1945043 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -12) + -79 - -50.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -40 + (0 - -8) - (1 + -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453.9135 years to millennia.\nAnswer: 0.4539135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2286507235177 and -91.\nAnswer: 2286507235086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0219 - 0.4469. Let m = q - 0.975. Which is the third smallest value? (a) -1 (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 1)*(-462*f - 1012*f - 1293*f + 297*f) as x + l*f and give l.\nAnswer: 4940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/(-12)*(-270)\/306)\/(2\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide ((8\/5)\/1)\/((-3)\/(-90))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*p + 3058 = -465*p - 47 for p.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 352746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5063405kg in grams?\nAnswer: 506.3405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, k: 2}. What is prob of sequence kkx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -20*p**2 - 499*p + 97. What is v(-25)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91041090299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21844008 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*s + 2. Let t = s + 0. Suppose m + c - t = 0, -c - 14 = -m - m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 7:38 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86921.15 millennia in centuries?\nAnswer: 869211.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462964 divided by 4.\nAnswer: 115741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -2*p**3\/3 - 2*p**2 + p - 4. Let d be -3 + 5 + 1 + -6. Calculate m(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j - 44. Determine r(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/60 + 13*d**4\/24 + 23*d**3\/6 + 2*d**2. Let q be j(-10). Which is the second biggest value? (a) -2 (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l + 3. Let h(y) be the second derivative of 23\/6*y**3 - 17\/2*y**2 - 16*y + 0. What is 6*h(g) + 34*t(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 479028.\nAnswer: 479028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-16 + 1001\/66)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 182, 226, 272, 320, 370, 422?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 33*f - 424. Let c be d(13). Solve 0 = -4*w + 3*j - 3, 5*j + 23 + 7 = -c*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 15. Let g = 158 + -153. Let b(v) = g*v - v - 6*v. What is m(b(t))?\nAnswer: 2*t + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248031554 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**3 - f**2 - f - 1. Let m be k(-1). Find the second derivative of -m*t**2 + 9*t + 29 - 29 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 6:27 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904057234.\nAnswer: 2, 151, 2993567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*x + 93868 - 93742 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 640\/23, 1\/5, -2 in decreasing order.\nAnswer: 640\/23, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11.92 in -11, -4, -44, 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3947538 is divided by 1973750?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29 - ((-2)\/7 - 10\/14). Suppose o*s = -7*s + 185. Calculate the least common multiple of s and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t = 3*m + 4, 3*t - 2*m = 2. Solve 4*p = a + 7, -t*a + 0*p - p + 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.912 - -11.991724. Let f = 1.08 - n. What is f rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107\/3 + -35. Let p(i) = -31*i + 219. Let x be p(7). Which is the third smallest value? (a) 0 (b) x (c) m (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 789*x**2 - 514*x**2 - 1225*x**2.\nAnswer: -950*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 150*b**5\/7 - 2020*b**4\/7 + 23672*b**3\/21 - 18448*b**2\/21 - 5120*b\/7 - 768\/7 = 0.\nAnswer: -4\/15, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -34. Solve s = 4*d + 22 - 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288037819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7350 + 44095\/6. Which is the fifth smallest value? (a) 5 (b) k (c) 0 (d) 647\/2 (e) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooooootoooooo. What is prob of picking 3 o?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -17\/2*t**2 - 20\/3*t**3 - 23*t - 12. Let g(c) = -7*c**2 - 6*c - 8. Determine 17*g(x) - 6*y(x).\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -5 - 9692*(-1)\/1. Round c to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 63, 99, 137, 177?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (23 - 12) + -10 - (-1 + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.11121 - -0.13021. Let l = c - -7. Let f = 0.01808 - l. What is f rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 114 = -22. Suppose -146 = -w*j + 15*j. Suppose 0 = 10*x - 8*x - p - 27, -3*p = 5*x - j. 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: Let n be 0 + (17030\/8)\/(-1). Let o = n + 2118. What is the common denominator of o and -93\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, 6, 34, 74?\n\"Answer: 6*i**2 - 2*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -62340\nAnswer: -18702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-45)*1155\/(-1375)*10?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, -1, -6, -13, -22, -33, -46?\n\"Answer: -v**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/158 and 37\/12?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 2:30 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 208 - 131 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + (-2 - -5) + -1. Let v(p) = -74*p + 2. Let l be v(k). Is (2\/(-4))\/((-6)\/l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + 2. Suppose -51*z = -i*z - 8. Let q(h) = -9*h + 5. Let k(c) = c + 7*c - 4*c - 2. Give z*q(p) + 5*k(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwzxwzwxojx. What is prob of picking 1 j and 1 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 62?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -18*u**2 - 3*u + 0 + 3 + 15*u**2 + 5*u**3. Let k(s) = -14*s**3 + 8*s**2 + 8*s - 8. What is 3*k(h) + 8*t(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 23\/22209?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = -1. Let u be 20\/(-15) + k\/4. Put -0.4, u, 5 in decreasing order.\nAnswer: 5, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Let f = w - -5. Suppose -f*r = 4*a - 16, -4*r - 29 = -3*a + 2*a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -1. Suppose z*q - q - 60 = 0. What is the greatest common divisor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-71))\/(2*4). Which is greater: -1\/230 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (4 - (5 + -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, h: 1, p: 2, k: 2, s: 1, r: 1}. Give prob of picking 4 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2753 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -246 divided by -6\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2. Let v(b) = -239*b. Give m(v(u)).\nAnswer: 114242*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-1 - (-1 + 2)). Let s = -348\/1555 - -812123\/3010480. Let r = 2\/121 + s. Which is smaller: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/319881 - 17593049\/64935843. Let p = l + -9143\/4466. Find the common denominator of ((-63)\/60 + -3)*2 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1845.18\nAnswer: 369.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/903 and 35\/12?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 24*c + 3. Let h = 768347 + -768343. Calculate the remainder when j(4) is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 899*t - 2. Let f(p) = -2*p**2. What is n(f(o))?\nAnswer: -1798*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = -0*q. Suppose 0*l - 3*l + 21 = 0. Suppose l*k - 3*k - 40 = 0. What is the highest common divisor of q and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/35)\/((4860\/42)\/(-45)).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 71955*p**2 + 5510890*p.\nAnswer: 5*p*(p - 14314)*(p - 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(((-3)\/(-99))\/(2\/(-4))). Let k(u) = -u**3 - 29*u**2 + 10*u - 59. Is k(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -17335\nAnswer: -1\/3467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbd when three letters picked without replacement from bbbdddbbbdbbbdbbbbd?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -57, 500 in descending order.\nAnswer: 500, -5, -7, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/((-2070)\/48)*(-18)\/((-36)\/(-6)).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + -27 - (-4 + (-925)\/55)) + -14.\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 3*k - 5*r, 0 = r - 2. Let w be ((5 - 38)\/11)\/(-1). Suppose 5*y = -w*f + 74, y - 12 = -k*f - 0*f. Solve 3*h + 0*u + u = -y, -u - 1 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51165 divided by 27?\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 326124 and 175572.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**3\/3 + 7*p**2 + 34*p + 30. Let m be q(-9). Find the common denominator of (-76)\/9 + m + 14 and -20\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 + (0 - 1 + 2)*(2 + 4 - 4) + 2 - 4 + 3 - 4 - 2 - 5 - 1 + 0 - 1 + (-1 + 5 - 2)*(-7 - 4 + 5) + 54 - 9 + 12)*(-4 + 4 + 2*k).\nAnswer: 66*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 6*y**5\/5 + 8*y**4 + 58*y**3\/3 + 20*y**2 + 8*y - 4. Factor k(m).\nAnswer: 2*(m + 1)*(m + 2)**2*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l - 3. Suppose 5*m - 291 = 2*n, 230 = 4*m - 2*n - n. Let o = -57 + m. What is p(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/20)\/((-2)\/8). Let h = -1.193 + -0.807. Which is the nearest to x? (a) -1\/6 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p**3 - 826*p + 5. Let t(o) = -4*o**3 + 413*o - 2. What is -5*t(q) - 2*y(q)?\nAnswer: 2*q**3 - 413*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.3, 5, -0.8, -0.5, -136?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**3*m**2 - 30*g**3*m + 20*g**3 + 378*g**2*m**2 + 6767*m**2 + 4019*m wrt m?\nAnswer: 8*g**3 + 756*g**2 + 13534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*y = 34, 2*l - 2*y = -0*l + 28. Suppose q - 5*f = l, 4*q - 47 = 3*f + 31. Let i = q + -26. Sort i, 1, 5, -4 in descending order.\nAnswer: 5, 1, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 - 13 = 0. Let d = z - 13. What are the prime factors of (0\/d + 3)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213760?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39269 and 1101?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 238 and 35.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -822 + 825. What is the tens digit of (2 + 1)\/(6*j\/1620)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298284102?\nAnswer: 2, 47, 13811533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640)*1*-1)\/(sqrt(24)\/(2*sqrt(3))*-4))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 2*q**3 + 4*q**4 + 0*q**3 - 30*q**2 - 16 - 6*q**2 - 44*q.\nAnswer: 4*(q - 4)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -18, -32, -48, -66, -86?\n\"Answer: -u**2 - 9*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/36 - (-7)\/4. Let m(p) = -p - p**t + 2*p**2 + p. Let i(d) = 10*d. What is i(m(v))?\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -6 + 15. Suppose 0*t + x = -t. Let q(a) = -2*a - 6. Let b be q(-4). What is the closest to 1 in 3, t, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*k**2*p**2 + 1260*k**2 - 8*k*p**2 + 9*k*p + 2*k - 23*p wrt k.\nAnswer: -14*p**2 + 2520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -8, -2, -17 in increasing order.\nAnswer: -17, -8, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 45 = -2*r. Suppose r*h + 6 = 16. What is the third derivative of -3*n**3 - 9*n**h + 5*n**3 + 32*n**2 wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + (-244)\/(-8). Suppose 0*g = 5*g - z. Is (-2)\/g - 4788\/(-27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1245*v**4 + 6*v - 10566?\nAnswer: 4980*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 - 6 = 0. Let c(m) = 17 - 40 + m**2 + m**j + 33 + m. What is the remainder when c(3) is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -19) + -5 + (-7 - 2) + 140 + -43?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0330418084 rounded to six dps?\nAnswer: 0.033042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-129)\/(-27) + (-2)\/(-9). Suppose 2*l - 18 = -6*a + 2*a, 2*a + s*l - 21 = 0. Solve a*z + z = -16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 + 13*k)*(-k + 2*k - 3*k) - 300902*k + 300902*k + 335*k**2.\nAnswer: 309*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1322950, 1323048, 1323146, 1323244, 1323342, 1323440?\n\"Answer: 98*y + 1322852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-4 + (-15)\/(-6)). Let k be p\/21*(-18)\/(-8). Suppose k*n - 47 = -5*t, 3*n = 3*t - 2*n - 1. Let x(m) = m**2 - 7*m + 5. Give x(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -120 and 2.71599.\nAnswer: -117.28401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3404997?\nAnswer: 3, 127, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j. Let g(s) = -s + 2*s - 2*s. What is -3*c(m) - 14*g(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*o**2 + 6*o - 23*o + 3*o wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**2 + 3 - 222*i**2 + 304*i**2 - 3 - 34*i**2.\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven quarters of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -52*y**3 + 2*y**2 + y. Let l be g(-1). Suppose x - l = 3*z, 0*x - 58 = -x + 4*z. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47977 is divided by 331?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 56337*j + 56047. Determine v(-1).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 5*t**2 - 5*t - 4. Suppose 8*x - 44 = 4*x. Is o(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1273 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-9 + -5 - (-97 + 118))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-10) + (-7)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1271451, 1271447, 1271443, 1271439?\n\"Answer: -4*z + 1271455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:32 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114050?\nAnswer: 2, 5, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*(-1995)\/(-190). Solve z = 3*b - 9, -4*b - 2*z - 3*z - a = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -11400000*q. Let a be y(-1). Round a to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(448)*-5.\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qasaqaqssssnnqqss. What is prob of picking 1 n and 3 s?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18547, 37068, 55591, 74116?\n\"Answer: x**2 + 18518*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1176, 1171, 1166?\nAnswer: 1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -17. Suppose 0*v + u*v = 32. Find the third derivative of v*z**2 - 3*z**2 - 3*z**4 + 4*z**4 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-40)*(3 - 1). Let l = -114 + 70. Let n = l + 43. What is the nearest to -2\/7 in n, -2\/5, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-2*4)\/(sqrt(10) + (sqrt(490) + (sqrt(490)*-1 - sqrt(490)) - sqrt(490))) - ((sqrt(176) + 2)*-1 - ((sqrt(11) - sqrt(99)*-2) + -3))**2.\nAnswer: -1332 + 294*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -132047 and 0.14.\nAnswer: -132046.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 0.0452342538 in increasing order.\nAnswer: -4, 0, 0.0452342538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*c - 24, -3*x - 5*c = -20 - 14. Suppose -15 = x*h - 3*h. Is (2\/h)\/((-2)\/36) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11623 and 2561?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71633 + 296543 = 45*w. List the prime factors of w.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 7*n + 11 = -9*n, -4*s - 3*n = 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((618\/515)\/((-7)\/(-5)))\/(3\/28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95.9 - -15.1. Let t = 31 + x. Let a = t + -148.9. Round a to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d - 40. Let p be r(-5). Let w(l) = -l - 8. Give w(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) -287 (b) 1 (c) 2\/55 (d) -0.152\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 119360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 574*n**2 + 121*n + 2. Let o(f) = 2*f. What is o(h(v))?\nAnswer: 1148*v**2 + 242*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-6) - (-32 - -30). Let i = 375 + -375.1. Which is the closest to 4? (a) x (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 2 = l. Let a be l\/(-6) + (-1)\/(-2). Suppose -3*c + a*c + 12600000 = 0. Round c to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 7*a + 6. Let v be k(-4). Suppose 30 = -0*x - 2*x. Is (-144)\/x - (-4)\/v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -1.9. Let j = -19.06 + 19. Let i = j - 0.34. Which is the second biggest value? (a) 2\/11 (b) n (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (186\/45)\/(18\/15) and ((-37)\/2)\/(5\/3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**4 - 55*f**3 - 45*f**2 + 55*f + 50 = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37, -205, -479, -847, -1297?\n\"Answer: 2*k**3 - 65*k**2 + 13*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**11 assuming l is positive.\nAnswer: l**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 6*z**2 + 6. Let d be u(-6). Let y = -8 + d. Suppose 261*p - 58 = 232*p. Put -8, y, p in increasing order.\nAnswer: -8, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.56 + 7.64. Let i = y + -11.43. What is i rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-3)*r**(-1\/3))**(-41) assuming r is positive.\nAnswer: r**(-574\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-8 - (-165)\/15). Solve -6*w + 78 - 54 = r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32633415 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.27515*5\nAnswer: 6.37575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 844779 a multiple of 800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 4*l**2 + 5*l - 4. Let u be j(5). Suppose -3*z + 5*c + 209 = 0, -5*c + 98 + 58 = 2*z. Suppose n = u + z. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 8*w + 3*w. Suppose 2*u + 816 = 2*c, w = 2*u + 1 - 3. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 17*a**5\/30 + a**3\/6 + a**2 - 2*a. Let p(k) be the first derivative of q(k). Is p(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 45\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - 9*w**3 - 22*w**3.\nAnswer: -23*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**2 + 3515*s - 198710 = 0?\nAnswer: 62, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 13. Let i be x(12). Let d = i - -27. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00535265 rounded to four dps?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {p: 6, e: 1, c: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661067812?\nAnswer: 2, 829, 199357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.23 + -1.323. Round n to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 133\/2841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602 (base 7) to base 15.\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121 and 77.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3055, 3067, 3079, 3091, 3103?\nAnswer: 3115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Suppose -x*w + 5*w - 30 = 0. Solve 7*y - 4*y = -w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 938.1246 tonnes?\nAnswer: 938124600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -285, -26, -3 in increasing order.\nAnswer: -285, -26, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:52 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*39\/(-13).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4809, -4808, -4807, -4806, -4805, -4804?\n\"Answer: y - 4810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4013?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 962848, 962837, 962826, 962815?\n\"Answer: -11*d + 962859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 16 = 5*t, -s - t + 13 = 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9363230 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 5*v - 3. Let a be h(6). Suppose 0 = -3*w + 2*m + 21, -2*w - a*w - 5*m = -10. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*b - 27. Let m be (9\/b)\/(1\/(-2)). Calculate the greatest common factor of 3 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204963 = -3*g + 3*d, -68313 = g - 2*g + 3*d. Calculate the highest common factor of g and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 3) + (-14 - 20)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43, 83, 111, 121, 107, 63?\n\"Answer: -p**3 + 47*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 10718.\nAnswer: 10716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**5\/3 + 515*x**4 + 28355*x**3 - 36489565*x**2\/3 - 300433400*x - 1815798000 = 0 for x.\nAnswer: -137, -12, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, g: 4, d: 1, y: 1, v: 2, h: 5}. Give prob of sequence yoh.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 6*w + 6. Let b be k(-6). Suppose -d - 8 = -2*o + d, -o - b = 4*d. Suppose 3*l = o*l. Solve l = -2*f - 1 - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -162, -113, -48?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 296332*v - 209719*v + 279191*v.\nAnswer: 365804*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Let v(g) = a + g + 0*g + g**2 + g. Let z(u) = -5*u**2 - 10*u - 11. Calculate -11*v(n) - 2*z(n).\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:02 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 110 = 3*q + 469, 4*t + 4*q - 300 = 0. Let m = t + -117. Let o(z) = 2*z**2 - 3*z + 3. Let c(h) = 14*h**2 - 22*h + 22. What is m*o(f) + 6*c(f)?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1286, -2414, -3542, -4670?\n\"Answer: -1128*h - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 48. Suppose b = v*b - 16. What is the lowest common multiple of 14 and (-9 - -2) + b - (-18 + 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-4 - (4 - 7)). Let n be 2\/v + 140\/42. Let s = 0.2 - 0.3. Which is the nearest to -2? (a) s (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -76*v - 118, -14*r + 17*r - 4*v + 23 = -36 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19792840 is divided by 482.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1303 (base 7) to base 5\nAnswer: 3433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -38 - 25. Calculate the remainder when b is divided by ((-1)\/2)\/(3\/(-72)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-15)*(-1 - 23). Let n be -6*2\/y*2\/3. Let j be (48\/36)\/(n + 0). Which is the nearest to 6? (a) 1 (b) 0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 783767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + 18*u - 4. List the prime factors of y(-8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158328 - 59847913\/378. Find the common denominator of 2944\/(-11520) - (-1 - (-18)\/10) and y.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 13 = a + 3*b, -3*a + 4*b + 11 = 0. Suppose -a*z = -10*z. Factor 0 + z*d + 1\/2*d**4 + 0*d**2 + 1\/2*d**5 + 0*d**3.\nAnswer: d**4*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250380 and 1886625?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*t = 2*a - 12, -a + 2*t - 4 = 0. Let n = 0 - a. Suppose 3 + 13 = n*s. Solve -3*l + s = 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyy when three letters picked without replacement from {y: 5, f: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8504 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2. Let y(u) = u - 6. Suppose 5*w - 3*t - 24 = 0, -t = -w - 3*w + 22. Let s be y(w). Let m(r) = -13 + s*r + 13 - 3*r. Give l(m(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87938046 and 37590?\nAnswer: 439690230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 540879341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47445 - -3?\nAnswer: -47442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + i + i**2 + i**2)*(5*i - 5*i + 2*i**2).\nAnswer: -2*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 + 6*r**2 + 3*r**2 + (r**2 - 2*r**2 - r**2)*(1 + 3 - 2) + 2*r**2 + 1 - 1.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -151*k**4\/3 + k**3\/3 + 51*k**2 + 146*k. Find the second derivative of d(w) wrt w.\nAnswer: -1208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28348291 divided by 4\nAnswer: -28348291\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -31*c - 11*c**2 - 10*c**2 + 26*c**2 + 44 - 3*c**2. Let l be f(14). Let a(s) = -3*s - 1. Determine a(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1281 - 1249) + (1 - 33).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20, -102, -182, -260, -336, -410?\n\"Answer: i**2 - 85*i + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from nmfpzlznfnnmfmnnnz.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, b: 1, y: 3}. Give prob of sequence byy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 8*d**2 - 10*d + 16. Let z be l(7). Let q(b) = 4 + 679*b - z*b - 1. What is q(8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 6:23 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10657\/196856 + -6\/2237. Let j = -161537\/16 - -10101. Find the common denominator of r and j.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-one halves of a decade?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2081 + -1200. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 7*d = -190. Let z(o) = d*o + 11 - 8*o + o**2 - 16*o - 5*o. Determine z(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 8*a = 0. Let l = a + -3. Which is bigger: -5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*n - 242*n - 9117 = -3198*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4185 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*b**2 - 2*b - 9*b**2 - 7*b**4 + 5*b**4 + 3 to the form m*b + a + x*b**3 + n*b**2 + h*b**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(-2 + 0 + 0)*(k**3 + 45*k**3 - 18*k**3) + 2*k**3 + 2 - 3*k**3 - 2*k**3.\nAnswer: -171*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 4. Let q be w(2). Let g be (-14)\/21*(-15)\/q. Let j(b) = b**2 + 3*b + 2. Let y be j(-3). Do y and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f**2 + 44*f + 25*f**2 - 80*f + 36*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72409105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**2\/3 - 36412*g\/3 + 24280 = 0.\nAnswer: -9105, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-90))\/(94\/132540). Solve 4 = 46*x + v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*n**2\/5 - 174*n\/5 - 196\/5.\nAnswer: 2*(n + 1)*(11*n - 98)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 5, 3, 2463.\nAnswer: 3, 5, 37, 2463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*w + 5 = 0, 8*w - 6 = 2*g + 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238372 to the power of 1\/2, to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -0.53 (b) -98 (c) -411\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9688053mg?\nAnswer: 0.0000000009688053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 5450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/((24090\/(-605))\/73)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-20)\/((h**(1\/20)\/h)\/h)*h\/(h\/(h\/h**(-15\/8)*h))*h**0*h*h assuming h is positive.\nAnswer: h**(-487\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l + 9684 - 4838 - l**2 - 4819. Determine h(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 18545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237 (base 12) to base 14.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4331 and 4757?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 < 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -4*i**6\/3 - 2*i**5 + 27*i**4\/2 + 22*i**3\/3 - 23*i**2 - 12*i - 200. Solve h(g) = 0 for g.\nAnswer: -3, -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.672 - -6.802. Let o = y - 2.13. What is the nearest to -0.1 in o, 0.2, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 286.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*v - 9. Let p(q) = 5*q**2 - 4*q - 3. Let y be p(v). Let n = -9 + 15. What is the greatest common divisor of y and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 262\/5 (c) -1 (d) 52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -71, -195, -377?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -2*g**3\/5 + 3*g**2\/10 + 9*g\/5 + 82. Factor p(z).\nAnswer: -3*(z + 1)*(2*z - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - ((2 - -3) + -3). Solve n = 4*o - 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4607020092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156 - 156. Suppose -2*t - 2*c + 26 = m, -5*c - 16 = -5*t + 39. Solve -f = -4*f + t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 788 - -92. Let k be s\/7 - (-4)\/14. Let x be ((-4)\/(-40)*-28)\/((-1)\/5). Calculate the highest common factor of k and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*h**4*r - 10*h*r**2 - 740*r**2 wrt h.\nAnswer: -48*h**3*r - 10*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/78 - 1088\/(-26). Suppose -119 = -3*s - 5*n, -s + n + k = -11. What is the highest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -37*h + 8. Let g(i) = -2*i**3 - 2*i - 3. Let m be g(-1). Find the common denominator of x(m) and 115\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 divided by -4.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-6 - -2)) + (0 - 7). Let x be (12\/5)\/o*130\/(-4). Suppose -209 = -3*i - 4*k, 4*k = 2*i - x - 120. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 0 - 7\/6*h**3 + 6*h**2 + 1\/3*h**4 - 1\/60*h**5 + 0*h. Give g(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doxoehxw. What is prob of picking 2 o, 1 x, and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/37866433?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47914387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/(-231))\/((-15)\/40)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*((o*(o**(5\/4)\/o)\/o*o)\/o)\/o*o*o)\/(o\/(o\/o**(3\/4))))\/((o**6\/o)\/o**(-1\/4)))\/((o**(-1\/2)*o**(-1)\/o)\/(o**5*o*o**0)) assuming o is positive.\nAnswer: o**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(1 + 2 - 4)*(10 - 14 - 72)*(2*z - 3 + 3).\nAnswer: -152*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 70*w**2. Let h be j(-1). Suppose y + 5*d - 56 = 0, -3*y + y + 4*d = -h. List the prime factors of y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 - 44*z**2\/5 - 144*z\/5.\nAnswer: -2*z*(z + 4)*(z + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/9 + 2\/3. Let v be 268541\/70 + 0 + j. Let k = -3838 + v. Find the common denominator of k and 71\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -142813 + -10?\nAnswer: -142823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27491249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-2 - 3)) + 18 + -10 + (-6 - -34).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 658 + -658.5. Let k = -0.02 + 4.02. Which is the nearest to 0.1? (a) z (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 13*q**3 + 4*q - 2. Let r(v) = 52*v**3 + 15*v - 9. Let f(s) = 9*l(s) - 2*r(s). What is the second derivative of f(k) wrt k?\nAnswer: 78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 12*y**2 + 12*y - 11. Let j be w(11). Suppose -5*o + r = -j*r - 50, 0 = -4*o - 3*r + 59. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-30))\/((-110)\/(-33))*-6.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 2 + 0)*(-2 + 3 + 0)*(-1 - 2 + 102)*(2*u**4 + 4*u**4 + 3*u**4) to c*u**3 + f*u + z*u**4 + d*u**2 + y and give z.\nAnswer: -7128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 12 + 256*t**2 + 3*t - t**3 - 183*t**2 - 71*t**2. Determine d(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 24441?\nAnswer: 73323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 72420.49 hours?\nAnswer: 4345229.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 5*t - t**2 + 2*t**2 - 4 to l*t**2 + u + c*t and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -721*o - 217 + 7427 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**1*v**6)\/(v**(2\/7)*v**(1\/13)*v) assuming v is positive.\nAnswer: v**(513\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 611\/3, -5, 402?\nAnswer: 402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313200143 to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049778593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 22) + 4 + -7 + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-20 + 27 + (-2 - 7) - 2) - 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2687\/165339?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.11 + -1.09. Let d = -12.2000005 - f. Round d to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7293\/13262 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 446, 466, 528, 656, 874?\n\"Answer: 4*i**3 - 3*i**2 + i + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1133 + -1137. Let c(y) be the third derivative of -y**5\/120 - 7*y**4\/24 + 2*y**3\/3 - 2*y**2. Let a(d) be the first derivative of c(d). Determine a(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3312.292765 to the nearest ten.\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 859\/172 + 11\/43. Let r = a - 109\/20. What is the closest to 0 in 3\/4, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkl. Give prob of sequence kl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -13*v**3 + 3*v**2 - 5*v - 3. Let m be ((-4)\/(-6))\/(18\/(-297)). Let j(u) = -7*u**3 + 2*u**2 - 3*u - 1. Let d(r) = m*j(r) + 6*n(r). What is d(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 3*i + 2*i**4 - 3*i - i**2 + 33*i**3 - 31*i**3 as k + w*i**4 + j*i + m*i**3 + f*i**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195810 and 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -2.1 (c) 1 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9128 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4573 - -102752?\nAnswer: 76157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 786, 1780, 2772, 3762?\nAnswer: 4750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/27 - (-2667)\/189\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3038439 and 789.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 - 6*z + 6. Let a(l) be the second derivative of 13\/6*l**3 + 0 - 2\/3*l**4 - 13\/2*l**2 - 50*l. Determine 6*a(n) + 13*w(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 701, 711, 719, 725, 729, 731?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15672690 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4444 > 71091\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d + 10. Determine s(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -3\/48293 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14087 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -147*h + 117. Let m(l) = -4 - 15 - 11*l - 20 + 61*l. Let w(t) = 11*m(t) + 4*p(t). What is the derivative of w(c) wrt c?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26\/11*g**2 - 98\/11 + 2\/11*g**3 + 70\/11*g = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (495\/70 - 7)\/((-136)\/1428)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20299 + 37579. Is 60 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -15*t**5 - 19*t**4 - 11*t**3 - 3*t**2 - 7*t - 11. Let n(p) = 4*p**5 + 5*p**4 + 3*p**3 + p**2 + 2*p + 3. Let w(i) = -22*n(i) - 6*z(i). Factor w(v).\nAnswer: 2*v*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4349000 rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3743, -15262, -34579, -61694, -96607, -139318?\n\"Answer: -3899*g**2 + 178*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146.8507 + -145.05. Let u = -0.01 - -1.81. Let r = m - u. Round r to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 231954.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*q + 9, -2*q + 6 - 19 = 3*c. Let l(j) = 70*j**2 - 2*j - 5. Is l(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 65*c = 61*c - 24, 0 = x - c - 6. Let z(a) be the second derivative of a**4 + 4\/3*a**3 + 1\/5*a**5 - 8*a + x*a**2 + 0. Factor z(w).\nAnswer: 4*w*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38771 - -38760.0061. Let m = a + 11. Round m to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -5, -4, -1468 in decreasing order.\nAnswer: 3, -2, -4, -5, -1468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**6\/120 + a**5\/15 + 10*a**2. Let j be o(4). Let b(y) = y**3 + y - 5. Determine b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 1)\/(12 + -14). Suppose 4*w - 5 = -3*f, 2*f + c*w = 2*w - 6. Let z be (1*-6 - f)\/(25\/(-175)). Calculate the highest common factor of 350 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4418*n**2 - 4420*n**2 - 1709*n + 2110*n.\nAnswer: -2*n**2 + 401*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 53211.1418 - -1\nAnswer: 53212.1418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.31 + -7.81. Let m = 3.17 - 3.1. Sort 4, l, m.\nAnswer: m, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + 13 - 22.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*o**3*r**3 - 4009*o**3 - 36*o*r**4 wrt r?\nAnswer: -117*o**3*r**2 - 144*o*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**2 - 5*p - 5. Let z(u) = -13*u**2 - 9*u - 9. Calculate -5*s(d) + 3*z(d).\nAnswer: -9*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546946943 to the nearest integer?\nAnswer: 23387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*d - 139 - 76 - 85 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -724 - -494. Let y = 272 + d. What is the highest common divisor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 74*l + 110. Let f be v(-39). Suppose -5*p - f = -5*h, 180 = -3*h - p + 1057. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5638.970301 + 5639. What is h rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106 + 1351?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g. Let c(k) = -47284*k**2 - 4*k. What is c(y(f))?\nAnswer: -47284*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 8. Let f be 8\/d + 2\/5. Factor 3*h**f + h + h**2 - 5*h**2.\nAnswer: -h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a. Let h be 11 + -3 - (0 + a). Let u be (-6)\/9 - (-16)\/6. Solve 3*x - 10 = y, -2*x + 0*x + u*y + h = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -155, -958, -2419, -4538, -7315?\n\"Answer: -329*b**2 + 184*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.88 to 0 decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10200 (base 3) to base 4.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 5, -1\/3 in descending order.\nAnswer: 91, 5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 495.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11803\/(-111) - -63) + 43?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744*m - 5786 - 1647 = 640 + 13503 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813991?\nAnswer: 813991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5692 is divided by 931?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1302404 - -3?\nAnswer: -1302401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5960 - 11749 = -1708*d - 72345 - 68340 for d.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) 7 (c) 1\/10 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 213977.34ms in hours?\nAnswer: 0.05943815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*u - 68*u - 271*u)*((4*u - u - 4*u)*(u + 2*u - u) + 0 + u**2 + 0).\nAnswer: 238*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27178563 is divided by 124?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19584 + (33*(-5)\/105 - 4\/(-7)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269566 is divided by 889.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 - -0.32. Let i = -252 + 252.2. Let g = i - c. Are -0.2 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/5)\/4*-25. Let p = x - -32. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c**3*i**3 - 26*c**3*i**2 + 99*i**3 with respect to c.\nAnswer: -24*c**2*i**3 - 78*c**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -296, -0.3, 30\/7, 1\/6, 1\/4, -2, -0.05?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 10. Let a be -2*2\/(-16)*16. Let j be u(a). Solve 2 = 4*y - j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*j - 2 - 3*j)*(6*j - 17*j - 37*j).\nAnswer: 48*j**2 + 48*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 2 = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-8)*165\/((-4455)\/72).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24827 or -24819?\nAnswer: -24819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1318, -1317, -1316, -1315, -1314, -1313?\n\"Answer: i - 1319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, -3, 92059, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.512967 months in years?\nAnswer: 0.54274725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -252, -245, -236, -225, -212, -197, -180?\n\"Answer: y**2 + 4*y - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:19 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 1, u: 1, g: 1, i: 1}. What is prob of picking 1 i and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8032 a factor of 38369862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 97004 and 140?\nAnswer: 3395140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52840.\nAnswer: 2, 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 524473063 to the power of 1\/3, to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.080092 + 0.08. Round w to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 15 = a, -s + 73 = -5*a + 74 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51, 215, 493, 885?\n\"Answer: 57*g**2 - 7*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*l = -18389985, 5*p + 37*l = 36*l - 30650003. What is p rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-2 - -22 - (-107 + 116)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**5 - 4*a**4 + 16*a**3 + 16*a**2 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96060 - 33077. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 594932 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4.7, -66, -1\/12, -0.4, -13?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.019 and 319.\nAnswer: 318.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -132? (a) 0 (b) -5\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 6061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 6714?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -147*c - 1. Let i be x(-6). Let n = i - 624. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-161)\/60 - 3\/(-12). Let i = s - -48\/5. What is the common denominator of i and 85\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**24\/z*z*z)\/(z*z\/(z**14*z)))\/(z**(-1\/30)*(z\/(z*z*z**(2\/5)*z))\/z))**(-42) assuming z is positive.\nAnswer: z**(-8701\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 368 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1088\/115 - -11\/46. Let a = -108869\/12 + 9067. What is the common denominator of a and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of (-2)\/(-72)*6 - (4710\/(-36) - 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 20 - 76. Let u(c) = 7 + 10 - 14 + 0 - 347*c. Is u(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssmm when four letters picked without replacement from {s: 3, m: 10, x: 3, w: 1, j: 3}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = b - 2*j - 1, 15 = 3*b - j. What is the nearest to 1 in 2, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2338 + 6552. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.5, -4, -434?\nAnswer: -434","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 6 = 0, 6*l = -4*g + 9*l - 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-35)\/105 - 20\/(-15). Sort -2, 4, -5, 23, t.\nAnswer: -5, -2, t, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 + 7*g**3 + 5*g**3 + (-54*g - 58*g - 38*g)*(g - g - 3*g**2).\nAnswer: 458*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -12*v + 9. Calculate n(-6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/12*(-24)\/4. Solve -2*r = -2*l + 6*l - 8, m*l = 2*r + 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 10606\/27.\nAnswer: 1, 3, 10606\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 283 * -12.\nAnswer: -3396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60190269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - 0) + 0 - 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111\/4 + 27. Let a = 0.25 - -0.05. What is the smallest value in a, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37112881, -74225767, -111338653, -148451539?\n\"Answer: -37112886*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14028 + -1943. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1628?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 11:19 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-20))\/(60\/80). Factor -1\/5*w**2 + 0 - r*w.\nAnswer: -w*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:11 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = 3. Let s be (-2 + c)*(-6)\/9. Let y(g) = 28*g**3. Let w be y(s). What is the greatest common factor of w and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21695*q**3 - 14*q**2 + q + 9421227?\nAnswer: 130170*q - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*i + 2981 - 1566 = 855 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * -72.8.\nAnswer: -13.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1633.78 + -1634. Which is the closest to 0.2? (a) -5 (b) g (c) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118 and 2?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -174*s - 1220. Determine p(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*s - 116*s + 83*s + 6344 = 0 for s.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382624 is divided by 99?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -48*d + 12*d**3 - 56\/3*d**2 + 256\/3 - 2\/3*d**4 = 0.\nAnswer: -2, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.205 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Suppose h*c - 9 = -5*u, -16 = c - 5*u + 2. Let n(f) = 2 - 2*f + f**3 - 4 + 0*f**3 + 2*f**2. Calculate n(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 1093557100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or -1996?\nAnswer: -1996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 29. Which is bigger: 5 or q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, c: 2}. What is prob of picking 3 x and 1 c?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1036637 divided by 7\nAnswer: 148091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 5. Let f be h(3). Suppose -5*n - 2 = -2*r - 32, f*n + 9 = 5*r. What is the remainder when 15 is divided by (-9)\/6*n\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000325489028 to five decimal places.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 22457*r - 22400*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 9:12 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28540531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -124 (b) 926 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*(-27)\/(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1574 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u - 45*u = -48. Let t(f) be the third derivative of 0 + 0*f - 13\/24*f**4 + 0*f**3 - u*f**2. Let i(o) = -2*o**2. Give i(t(h)).\nAnswer: -338*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + y. Let x be b(1). Suppose x = 3*h - 111 - 138. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 4966147452959 + 4966147452959 - 4*k**2 + 3*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19c5855 (base 13) to base 4\nAnswer: 200200331001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4\/2 - 65*i**3 + 600*i**2 - 2295*i + 6075\/2.\nAnswer: 5*(i - 9)**2*(i - 5)*(i - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5 - 110*t**4 - 1322*t**3 - 1208*t**2 + 14497*t - 11858 = 0. What is t?\nAnswer: -7, 1, 2, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -467 + 482. Is 2 - ((-35988)\/(-10))\/((-6)\/l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 105974409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2147 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -2*v**3\/3 - 5. Let m = -29 - -31. Let p(h) = 3*h + 15*h - m - 6*h. Determine p(u(t)).\nAnswer: -24*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/((-9)\/648). What is the common denominator of (-62)\/(-120) - s\/(-72) and (-3)\/2 + 496\/(-80)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) + 138\/(-18). Sort -2, 1, u in descending order.\nAnswer: 1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -234889\/20 - -11742. Calculate the common denominator of 95\/12 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*r - w, -2*w + 5*w = -4*r + 9. Which is the closest to 4? (a) 4 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5)*(j*j**0)\/j)\/(j*j**8*j*j\/j**(-6)))**(2\/13) assuming j is positive.\nAnswer: j**(-166\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2)*5)**2*1*-3 + 5*(-2 + sqrt(500))**2*-3.\nAnswer: -7935 + 600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1428*d + 9 - 7051*d)*(-d + 3*d - 5*d).\nAnswer: 16869*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 1:44 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 7*s**2 + 215*s + 1332. Let p be z(-6). Solve -30 = -5*f, p*t + 3*f = 5*t + 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46699 divided by 1139?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 5*n**2)*(2436 - 449*n**2 - 2436).\nAnswer: 2245*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (9 + -9) - (-17 + 8 - -13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 67.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1\/3101534700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3*m + 477, -m = -4*c - 2*m + 621. Let u be (c\/(-119) - (-2)\/(-17)) + 2. What is the third biggest value in 0.5, -2\/265, u?\nAnswer: -2\/265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 2574*t - 2581*t - 5*y, 218 = -2*y + 210 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l - 24 = -2*q, -l + 29 = 3*q. Suppose u - 1 = 4. What is the remainder when 7\/(-2 + q\/4) is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 1:17 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - ((sqrt(130)*2 - sqrt(130) - sqrt(130) - sqrt(130))*2 + sqrt(130))) + sqrt(130))\/sqrt(10)*-4.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434066?\nAnswer: 2, 217033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a hour in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 8:58 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -404 + 418. What is the least common multiple of b and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348 and 4300206.\nAnswer: 249411948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 (base 15) in base 8?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 17721707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8924 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-123)\/(-6))\/(5\/(-10)) + (-24 - -60 - 37).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - ca?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 4*s - 0 + 2, 0 = -4*u - 4*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*-2*-4*(sqrt(75) + -2)*-6*-2.\nAnswer: -768 + 1920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69872461, 139744921, 209617381, 279489841?\nAnswer: 349362301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s + 20*s + 16*s**2 - 27*s. Let j(n) = -5*n**2 + 2*n**2 + 5*n**2. Determine g(j(w)).\nAnswer: 64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -300, 1\/4, -6, 4\/5 in decreasing order.\nAnswer: 2, 4\/5, 1\/4, -4, -6, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -642 in decreasing order.\nAnswer: -2, -5, -642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -189 * -44328\nAnswer: 8377992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*v**2 + 10*v**2 - 155*v**3 + 170*v**3 wrt v?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13221 (base 5) in base 4?\nAnswer: 100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7039 + -0.4849. What is i rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 163673711.\nAnswer: 163673716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3149282 (base 10) to base 3\nAnswer: -12221000000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17062053.\nAnswer: 3, 103, 55217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 13. Let x be z(9). Calculate the lowest common multiple of 1\/(x - 65\/(-16)) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16954458 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**3 - 8*k**2. Let d be (-2)\/4 + (-20)\/8. Let q(l) = l**2 + 5*l + 6. Let j be q(-4). Let x(m) = -3*m**2 - 2 + 2*m**3 + j. Give d*a(v) + 8*x(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 102 = 3*k. Let q = k + 55. Suppose 0 = -q*i + 67 + 21. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 + 0 + 0*q**2 - 3*q**2 + 2 + q**2 + q. Let h be r(2). Let f = h + -7. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 - 3.93. Let g be ((-3)\/(-90)*5)\/((-2)\/6). What is the second smallest value in g, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135648 and 248688.\nAnswer: 1492128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 + 3 - 75*q**3.\nAnswer: -75*q**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssr when three letters picked without replacement from rpfspppfhssr?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7334 + -7335. Let f(b) = -10*b**2 + 8*b + 5. Give f(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 53 - 168 = -v, 5*i = 4*v - 504. Calculate the remainder when v is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/4 and -77\/84310.\nAnswer: 168620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 23*l - 131. Suppose 0*n = -3*p + 3*n - 15, 0 = -4*p - 4*n - 20. Let b be z(p). Solve 28*a - 31*a + b = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 433, 516 in ascending order.\nAnswer: -4, 433, 516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 311220100313?\nAnswer: 311220100333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 20. Suppose 2*w = 4, -n*r + 2 - 12 = -5*w. Suppose -347 = -4*t - 5*b, r = -0*b + 5*b + 25. Does 31 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/2*((-30)\/105)\/(108\/28)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/(-6)*9\/12. What is the biggest value in -1, -26, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6740660*h**4 - 2*h**2 + 2*h + 8393770 wrt h?\nAnswer: 80887920*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117483841 to the power of 1\/4, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 21284*t**2 + 7326196*t - 14737536.\nAnswer: (t - 2)*(t + 352)*(t + 20934)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = 5*j - 166. Let k(b) be the second derivative of 1\/120*b**j - 2*b + 1\/24*b**4 + 0*b**2 + 0 + 1\/18*b**3. Solve k(z) = 0 for z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = t + 5, -11*n = -16*n - 3*t + 25. Put 12, -1, n in ascending order.\nAnswer: -1, n, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 946 = 925 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 2*l - 4*l)*(0*l + 0*l - 2*l**2) + (0 + 1 - 2)*(-34 - 26*l**3 + 34).\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 3*i**3 - 2*i**2 + 10*i**3 + 5*i**3.\nAnswer: 12*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15920061?\nAnswer: 3, 619, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 25. Suppose 6*v = 4*v - 4*g + d, 2*g = 4. Let t(n) = 33*n - 2. Is t(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 156046 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 123437771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + u, -15 = -b - b + 5*u. Let c be 3*3 + b + 5. Solve 4*g - 3*l + c = 2*l, -5*g = -5*l + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-3 - (-4 - 3)) - (14 - -2 - -55)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*f + 463 + 61 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 7:43 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**3\/3 - 2*l**2 + 3. Let x be b(-3). Suppose -2*t + 6 = -0. Solve 4*r + x*q - 35 + 0 = 0, -5*q = -t*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2, -1\/2, 112?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125.7*101610.\nAnswer: -12772377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8985236*x**2 + 2246307*x**2 + 2246309*x**2 - 20*x**3 + 2246308*x**2 + 2246312*x**2.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 22 + 43 = 2*a, p + 73 = -2*a. Let o be (p\/(-9))\/((-4)\/(-12)). Find t, given that 6 + 8*t**4 - 13*t - 21*t**2 + 7*t**4 + o*t + 9*t**3 - 19*t = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**3 + 5*s**2 - 2*s + 4. Let h be w(2). Let i be 3\/2*4\/h. Is i != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.88082 micrometers in meters?\nAnswer: 0.00000588082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-18))\/5 + (-805)\/(-63). Suppose -y + 126 = s*y. Let i(a) = -a**2 + 10*a - 11. What is i(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/39, 0, 14, -2\/15 in decreasing order.\nAnswer: 14, 0, -1\/39, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 241851286 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14613105 and 3.\nAnswer: 14613105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8309633 (base 10) to base 14.\nAnswer: -1164413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21732?\nAnswer: 2, 3, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.669 plus -8325968?\nAnswer: -8325976.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -d + r, -2*d + 2*r = -7*d + 7. Let b be 2*(2 + (-2 - -1)). Solve b = -d*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*d. Suppose -2*g + 2*a = d, 3*a - 2 = -4*g + 6*a. Let n = 16 - 7. Solve 3*p + 10 = -g*p - 5*k, 3*p + 4*k = -n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 j when four letters picked without replacement from jwjwjwjjww.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-13 + 19 - 4). Solve -o*p - 137 = -129 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + c + 0*c - 2*c. Let m(i) = 8*i. Let d(w) = m(w) - 6*v(w). Let o(h) = -1. Let f(s) = -6*s - 8. Let q(j) = -3*f(j) + 24*o(j). What is d(q(p))?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 9*q - 990 = 0. Let o = 94 - q. Let h(n) = 4*n. Let w(x) be the third derivative of -x**4\/24 - x**2. Give o*w(p) - 3*h(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 512988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**6\/40 + 2*k**5\/5 - k**4\/8 - 4*k**3 + 9*k**2\/2 + 20*k. Let q(x) be the first derivative of u(x). Factor q(z).\nAnswer: 3*(z - 1)*(z + 1)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9))\/(3 + 128\/(-24)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyky when four letters picked without replacement from kyyyyyyykyyyy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-2)\/13 - (-483)\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -40956, -1\/37, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 10:48 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127.177 meters to millimeters.\nAnswer: 127177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 6)*(1 - 2 + 3) + 4 + 0 - 5)*(y - 1 + 1).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 7:33 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m + 0*m + m)*(-6 + 4 + 0) + 0*m - 2*m + m + (-3*m - 2 + 2)*(0 - 1 + 3))*(14104*m**3 - 36136*m**3 + 17934*m**3).\nAnswer: 20490*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 2. Let r(f) = -2*f + 3. Let c(z) = -6*b(z) - 4*r(z). Let w be -3 + (-5)\/(-4 - -3). Suppose -4*d = -10 + w. Calculate c(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 5, 0.1, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 2*o**2 + 3*o - 4. Let i(n) = -n**2 - 2*n + 5. Suppose 5*s + 2*z = -28, 3*s + z + 4*z = -32. Let a be i(s). Determine q(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeiiiiiiiiiiie. Give prob of picking 3 i and 1 e.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n. Let s(x) = 11*x + 1. Let f(j) = 4*m(j) - s(j). Let t(c) = 6*c + 2. Calculate 9*f(h) + 4*t(h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -11944.4481 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 11:15 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 50*q + 24480 = 0. Solve -609*f = -q*f + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a1 (base 14) to base 15.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -547*n + 4133. What is u(8)?\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540*i + 612 = -1008 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 4, b: 4}. What is prob of sequence bh?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:12 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*i*z**5 + 4*i*z**2 + 5*i*z + 5 wrt z?\nAnswer: -200*i*z**3 + 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 5*j**2 + 15*j - 1744. Let y(z) = 3*z**2 + 9*z - 870. Give -3*m(w) + 5*y(w).\nAnswer: 3*w**3 + 882","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 - ((146 - 107) + 138)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.23 - -0.13. Let n(q) = -q + 6. Let z be n(3). Which is the nearest to 0? (a) u (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 24382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50474, -50823, -51170, -51515, -51858, -52199?\n\"Answer: y**2 - 352*y - 50123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 12. Let r = 0 + 11. Calculate the least common multiple of t and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 3*p**2 - 34*p + 38. Let m be b(6). Let z = m - -71. Solve -10 = o - z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -277*s + 541*s + 63 - 951*s - 47 in the form m*s + l and give m.\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (16\/(-10) - (-6)\/(-15)). Suppose 0 = v*m - u - 322, -4*m - 168 = -6*m + 4*u. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 42. Let y(q) = 10 - 10 + j*q. Let o(s) = -2*s**2. Give y(o(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 236 - 229. Let v(p) be the third derivative of 6*p**2 + 1\/1365*p**i + 0 + 0*p**3 + 0*p + 0*p**5 + 0*p**4 + 1\/390*p**6. Determine x, given that v(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50960 and 10715120?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4287 = -3*k + 4296. Solve -k*y = n + 17, 29*y = -n + 31*y + 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17783, 35478, 53173, 70868, 88563, 106258?\nAnswer: 123953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 34 = -2*o, -3*o + 0*j = j - 73. Let k be (4\/(-3))\/((-3)\/207). Calculate the highest common divisor of o and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 + 36*m**2 - 71*m\/2.\nAnswer: -m*(m - 71)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 2. What is h(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**5\/15 - f**4\/96 + f**2 - 32. Suppose y(p) = 0. Calculate p.\nAnswer: -1\/16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11484425233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1640*z + 2*z**2 + 1640*z. Let f(s) be the first derivative of -s**3\/3 - 2. What is f(r(d))?\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, f: 5, i: 2}. Give prob of sequence vf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312 and 4212?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p - 3 + 0 - p**2 + 0*p**2. Suppose -2 = 7*k + 12. Let u be (-9)\/((2\/(-8))\/(k\/(-12))). Determine m(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**2 + 7*i - 8. What is v(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90415.63 or 1?\nAnswer: -90415.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - -4 - 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 5:41 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481804 a multiple of 983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3200*b - 23. Let q(j) = -13*j - 1. Determine q(r(c)).\nAnswer: -41600*c + 298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7*q - 2*x + 1, -4*x = 2*q + 6. Let p be (-3)\/((-3)\/q) - 1. Suppose -2*r - 4 + 0 = l, 3*l + r - 13 = p. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -799 + 1548. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**2 + 13083*v - 1709928 = 0.\nAnswer: -4488, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: What is the next term in 3351, 3393, 3457, 3555, 3699?\nAnswer: 3901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6336*(-220)\/12870 - 106\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 1:35 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 20, -24, -1, -4, 70, 12 in descending order.\nAnswer: 70, 20, 12, -1, -3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 0.2, 1\/37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/14, 1\/27, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70528, -141206, -211888, -282574, -353264, -423958?\nAnswer: -494656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93896*q + 93900*q - 100 = -5*m, 3*m - 82 = 2*q for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 8*p**2 + 7*p - 10. Suppose -k + 2*z = 17, k + z + 5 = -0*k. What are the prime factors of t(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 - 5*m - 4. Let p be b(-5). Let l = p + 58. Find the third derivative of -1181*r**l + 21*r**6 + 1181*r**4 + 15*r**2 wrt r.\nAnswer: 2520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7172 is divided by 1020.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 249 and 913.\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 284 and 4?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5144399804*c + 4*c**3 + 5144399804*c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 384 = -4*v, 5*b - 16 = b. Suppose -3*l - v = -6*l. Suppose 119 + l = 5*f. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**3 - 3. Let u = 70 + -73. Let o(b) = 5*b**3 + b**2 - 4. Determine u*o(w) + 4*x(w).\nAnswer: w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = -5*z + q, 3*z + 3*q - 134 = 5*q. Suppose 4*r + 2*r + z = 0. Let y(u) = 2*u**2 + 14*u + 3. Let o be y(r). Solve -3*k = -6 + o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 42192 and 41884 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 0 (c) 2\/21 (d) -9.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/(-6))\/(8\/(-12)). Let r = -4 + 6. Suppose 0 = y - r - 0, 2*m = -y + 8. Solve 0 = -q*k - 11 + m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -20*w - 13. Let z be g(-8). Let u be (-7)\/(z\/(-6)) - (-76)\/28. Find the third derivative of 26*c**3 - 16*c**u - 12*c**2 + 22*c**2 wrt c.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-2*1)*(-810)\/108. Let h = -598\/5 + k. Sort 0, -3, h in descending order.\nAnswer: h, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1950, 1947, 1944, 1941, 1938?\n\"Answer: -3*z + 1953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 + 3*c**3 - 2*c - 2*c**3 + 3*c. Let w be q(5). What is the second derivative of 5*b**5 - 2*b**5 - 2*b + b**w wrt b?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01605 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 86*u - 5 - 108*u.\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -31675, -0.6, 1\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 7*z**2 - z + 4. Let d be f(7). Let w be (-3)\/(-1*d\/(-3)). Solve 12 + w = -3*y, y = 4*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -202*o**2*z**2 + 2*o**2*z - 10*o*z**2 - 7*o + 2*z**2 - 6 wrt z.\nAnswer: -404*o**2 - 20*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -275.8 + 276. Let v = 0.5 + -0.5. Let r = 1 - v. What is the smallest value in w, 0.5, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.743*-3\nAnswer: -2.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 5:46 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*g - 5. Let l be (1675\/10 + 3)*2. Factor 8*h**3 + 341*h**g - 12*h**4 - l*h**2 + 4*h**5.\nAnswer: 4*h**3*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-68)\/(-18) - ((-272)\/(-72) - 4). Solve -i - 16 - 9*i + 3*i - 5*i + m*i**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2.6. Let o = d + 0.4. Let y = 0.6 - 1.6. Which is the closest to o? (a) 1\/2 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7180 + 7180. Factor 2\/15*c**3 + 2\/15*c**2 + a*c + 0.\nAnswer: 2*c**2*(c + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 33. What is the tens digit of c + 52 + (3 + -3)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 188 + 64. Let m be 8 + ((-1)\/(-1) - 0). Is 1664\/x + (-2)\/m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - m. Let c(a) = -5*a**2 + 6*a. Let g(w) = c(w) + 6*n(w). Let u(f) = 179*f**2. What is u(g(s))?\nAnswer: 179*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18531\/(-3741) - (-2)\/(-43). What is the third smallest value in 85, r, 0, 0.5, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8*(-5)\/5. Let n be -4 - (2790\/80)\/(-9). Let c = 0.1 - 0.1. Sort n, c, l.\nAnswer: n, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 80421*k - 40212*k - k**3 - 40209*k to b*k**3 + w*k + i*k**2 + d and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 9 - (1 + 2). Suppose 0 = 3*a - 3*z + k, 23 = 5*a + 2*z - 0*z. Suppose 2*q - a*q = -21. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 9:24 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(125\/640) + 15\/(-25). Suppose 0 = 21*i + t - 109. Sort i, 0, 61, 3.\nAnswer: 0, 3, i, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvvmmmmmmmmmmmmmmmmm. What is prob of sequence mvvm?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4128 + 33085\/8. What is the common denominator of b and -61\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 10 = i, 3*h = -5*i + 14 + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + 3*a + (a - 6*a + 3*a)*(1 - 2 + 4))*(a + 0 + 0)*(0*a**2 - a**2 + 0*a**2).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3 - 2*x**2 + 50*x + 50 = 0. What is x?\nAnswer: -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62412 and 168.\nAnswer: 124824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -765, -1193, -1653, -2139, -2645, -3165, -3693, -4223?\n\"Answer: n**3 - 22*n**2 - 369*n - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhalhhhlll. Give prob of sequence all.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19675 = 212*r + 15011 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(18)*5*1.\nAnswer: 1 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 0.3. Let x = 28.3 - 28. Is x < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 + 2*n + 8. Let c(h) = 4*h**2 - 3*h - 8. Suppose -4*d - 4*s + 28 = 0, 2*s = 30 - 22. Give d*z(u) + 2*c(u).\nAnswer: -u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205273 = -2*c + 90767. Suppose 4*w - c = -2*d, 0 = -3*d + 4*w + 142303 + 79677. What is d rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 2\/3 (c) -0.018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyc when three letters picked without replacement from ykckcfc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001643046 to seven decimal places.\nAnswer: -0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + 10 - (20 + -69 + 34)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -9 - (146 - 168).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 16) to base 4\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70839 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (-6 - -2) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**6\/15 + 27*h**5\/10 - 45*h**4\/2 + 193*h**3\/3 - 84*h**2 + 6*h - 55. Solve l(p) = 0.\nAnswer: 1, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -27*k**2 - 276*k - 456. Let s(o) = -o**3 + 53*o**2 + 555*o + 910. Let x(j) = 3*s(j) + 5*u(j). Factor x(t).\nAnswer: -3*(t - 15)*(t + 2)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 732 + -361. Is v a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(147) - sqrt(147)*-2) - -1*sqrt(192))**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**4 + 3*j**4 + 0*j**4 + (6*j + 0*j - 2*j)*(6*j**3 - 3*j**2 + 3*j**2) - 2*j**4 + 0*j**4 + j**4 as o*j**3 + h*j**2 + k*j**4 + a + c*j and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)\/sqrt(4))\/sqrt(5))**2 - ((1 + sqrt(300))**2 + sqrt(300))) + -4.\nAnswer: -302 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n - 8*n**3 - 9*n - 5*n + 42*n - 2*n to the form l + g*n + m*n**2 + f*n**3 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 51437330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 845*a - 54924. Calculate g(65).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33948855 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - 13. Let h be (48\/10)\/((-4)\/y). Let z = -19 + h. Which is the third biggest value? (a) -5 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 5. Let g be h(-2). Solve 3*t - 10 = -2*i, -g*t - 2*t = -20 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*a - 198*a = -10296. Calculate the highest common divisor of a and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: 3\/(-60) - 343\/(-1260)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 813.5 + -813.8. Sort -16, d, 22 in increasing order.\nAnswer: -16, d, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 66*a + 9. Calculate u(66).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3023412120 (base 5) in base 8?\nAnswer: 27133006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 6, -1, -52138, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3789555 to the power of 1\/2, to the nearest integer?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -628*l - 87. Let y be g(-9). Suppose 0 = -3*w + 4*q + 3325, 4*w - 2*q = -w + y. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v + 5. Suppose -40 = -4*z + 4*t, 0*t + t = -4. Let o be n(z). Let c = o + 35. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w - 19. Give h(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48 and 12\/3755.\nAnswer: 3755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5224*q**3 + 7056. Let o(v) = -2239*v**3 + 3024. Let r(i) = 7*h(i) - 16*o(i). Find the first derivative of r(n) wrt n.\nAnswer: -2232*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/13 (b) -10 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 + 391\/3. Let z(s) = -2*s + 1. Let f be z(1). Which is the smallest value? (a) f (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.68666ng in kilograms?\nAnswer: 0.00000000005668666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b + 4*b)*(-b + 2*b + b)*(0 + 1 + 2).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 + -7 + 1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r**4 - 3*r**3 + r**2 + 3*r - 1. Let d(n) = 42*n**4 + 14*n**3 - 4*n**2 - 14*n + 6. Let w(q) = 11*c(q) + 2*d(q). Let w(k) = 0. Calculate k.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 33, 30?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.8 + -15. Let x = -1.6 - -0.8. Let k = x + l. Sort 3, k, -3 in decreasing order.\nAnswer: 3, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88*s**3 - 308*s**2 - 90*s**3 + 35*s**2 + (5*s - s - 3*s)*(-3*s**2 + 6*s**2 - 2*s**2) + s**2 - s**2 - 3*s**3.\nAnswer: -4*s**3 - 273*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7006 + -1674427\/239. Let n = 9209\/3824 + l. What is the common denominator of (-1527)\/(-240) - 1 - (-12)\/60 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/9 + 398*z\/9 + 2884\/9.\nAnswer: -2*(z - 206)*(z + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-105)*(-2520)\/(-540)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 9:51 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (65 + -14 - 22 - -1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 10 - (-15 - -36)) + -2 + 1 - 4.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455 and 51995020.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -2\/225 (c) 19\/1742\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, d: 7}. Give prob of picking 3 j.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 257 (b) -0.05405 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*y - 238*y + n + 8 = 0, 7 = -y - 2*n for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miichcchlki. What is prob of sequence mi?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 101 + (216 + -164 - 79)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 >= 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -72, -77, -82?\n\"Answer: -5*u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 110 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -0.2. Suppose 5*d + 2*l = 4*l - 28, l + 8 = -3*d. Which is the nearest to r? (a) d (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 + 34 + 24 - -38\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/6835? (a) 0.006 (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128.0185 + -0.0185. Let g = -128.5 + q. Which is the second smallest value? (a) 1\/9 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68079*i - 68079*i + 15*i**3.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102 - 9696\/96)*(-1 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3367033.\nAnswer: 47, 71, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.916 - 0.084. Let q = 2.6 + -0.6. Which is bigger: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 14*s + 11. Let o(b) = -3*b - 2. Give 2*l(q) + 11*o(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40466648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83672*x**3 - 44349*x**3 - 140505*x**3.\nAnswer: -268526*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31 and 49238?\nAnswer: 1526378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5)**(-4)\/((r*r\/(r\/(r\/(r\/(r*r\/r**(-1\/3))))))\/r**(-16)) assuming r is positive.\nAnswer: r**(-118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9005335 hours in minutes?\nAnswer: 54.03201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-36) - (-8)\/3. Suppose -d*c + f + 9 = -4*f, -4*f + 20 = c. Solve 20 = -l - 5*u, -3*l - 2*u - c = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -0.9. Let j = 1.02 - -0.08. Let a = s + j. Which is bigger: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 - 190*j**2 + 2395*j + 175. Give g(80).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 330, 3, 48 in decreasing order.\nAnswer: 330, 48, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 102*a + 61. Calculate p(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1185*a**2 + 11*a - 9. Let g be v(1). What is the hundreds digit of g - (105\/(-7) - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 57171, -2, 0.04, 2 in ascending order.\nAnswer: -2, 0.04, 0.5, 2, 57171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a8eb (base 15) to base 11.\nAnswer: -690687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -131*i + 111*i + 5596580. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 13*i**2 - 10*i - 35. Suppose -5*n - 5*u = -45, n + 34 = -2*u + 40. What is t(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-8)\/24*(32 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.3 (b) -2021 (c) -8 (d) -0.1 (e) 5 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58322 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*p + 273, 0 = -2*p + 10 - 12. Which is the second biggest value? (a) w (b) 2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 4*d + 4. Let r be w(5). Let t be -6*(2 - 1)*r. What is the units digit of (-1 - -3)*33\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23084.599954 - -23085. Let c = 0.4 - t. What is c rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3172 divided by -1344.\nAnswer: -793\/336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/11)*n**(-4\/5)*n*n*n**(-5)*n**4\/n*((n\/(n**6*n)*n)\/(n\/(n**(6\/11)*n)))**(1\/9) assuming n is positive.\nAnswer: n**(-551\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e - 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 2636*t**4 - 16*t**3 - 21*t**2 + 5. Let s be k(-11). Round s to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -18, -2, 3, 5 in increasing order.\nAnswer: -18, -2, 3, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 12\/(-60) + (-212)\/(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 16 = -7. What is the smallest common multiple of (8\/(-4) + 21)*3\/n and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -5*m + 2*n, 0 = -3*n - 20158 + 20161 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**13\/(q\/q**(-2\/7)) assuming q is positive.\nAnswer: q**(82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 + 71. Let r(w) = -14*w + 40. Let v be r(z). What is the greatest common divisor of v and 567?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -2*i**3\/3 + 21*i**2\/2 + 75*i - 3396. Let p(m) = m. What is v(p(d))?\nAnswer: -2*d**2 + 21*d + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.12495 tonnes in nanograms?\nAnswer: 72124950000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 0 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/17 + (-15)\/(-102)*107876\/(-8195)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98333 divided by -12?\nAnswer: 98333\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 6. Let c = h + -1. Let m = 2 - 0. Is c bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/48 and -3 - 7\/(-8)*(-40281)\/(-11484).\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 3*x**2 + 3*x - 2. Let f be b(2). Suppose -j + f*j + 20 = 0. Suppose 0 = -5*k + j, -k + 12 + 6 = y. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 3*k - 12. Let q(b) = b**3 - 11*b**2 - 16*b + 9. Let x be q(12). What is the common denominator of k and (x\/52)\/(27\/(-64))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 4*i**4 + 3*i**4 + i**2 + 19 - i - 15 in the form g*i**3 + w + d*i**2 + h*i**4 + p*i and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-37)\/36 + (-51)\/68\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -1) + (-142 - -142) + 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32107 is divided by 374.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 11182696.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - 18)\/((-3)\/(-39)). Calculate the common denominator of -31\/10 and (j\/(-50))\/(10\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**3 - 46*g**2 + 160*g + 237. Calculate i(5).\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 3*p - 4 - 2*p + 2*p + 0*p**2. Let f be t(-3). Let z(l) = 5*l - 4. Let h(y) = 6*y - 5. Calculate f*h(i) + 5*z(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/57? (a) -1 (b) 19169 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, n: 6, a: 2}. Give prob of picking 3 n.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m**3 + m**2 - 104*m**3 + m - m.\nAnswer: -82*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4942, 5543, 6530, 7903, 9662, 11807, 14338?\n\"Answer: 193*w**2 + 22*w + 4727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**5\/60 + 3*k**2. Let q(n) = n - 1. Let p be q(4). Let g(h) = -h**2 + 3*h**2 + p*h**2 - 6*h**2. Give r(g(l)).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*-6 + 1.\nAnswer: -18*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + b + 5, 3*d + 6 = 3*b - 5*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10030429 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3664 or -3715?\nAnswer: -3715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 + 2. Let o = -0.82 + 1.22. What is the nearest to -2 in 5, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -101 - 251629?\nAnswer: -251730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 + 5*f**2 + 5*f + 3. Let y be b(-2). Let a be (5\/(-4))\/(y\/132). Solve -a = -q - 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4)*(-294)\/(-63). Suppose 83 = -v*s + 97. Solve 4*g = 2*i + 4 + 2, s*i - 12 = -5*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1991 + -1190. List the prime factors of n.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*o - 25, 5*h - 25 = 3*o + 2*o. Suppose -6*q - 3*q + 3*q = h. Solve 0 = -c + 2*k + 2*k + 10, 3*c + 3*k = q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 - (-1 - -7) - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -1\/8 (c) -0.3 (d) -0.11 (e) -298\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 98684?\nAnswer: 197368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + h**4 + 8 + h**2 + 3*h - h - h**3 to the form j*h + g*h**2 + z + i*h**3 + u*h**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2121 (base 15) to base 4\nAnswer: -1231132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (17 + (-5 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swmmmmwcmwmqqsmwsmm. Give prob of picking 2 q and 2 m.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 63. Suppose 0 = g*l - 34 + 10. Suppose -8*z + l*z + 16 = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -454\/5, -1\/5 in increasing order.\nAnswer: -454\/5, -1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14b6 + -34a?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 4.3, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 840590 and 5?\nAnswer: 840590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyy when three letters picked without replacement from myymjj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4830*j**3 - 1467*j**3 - 2050*j**3 + 541*j**3.\nAnswer: -7806*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**9\/241920 - l**8\/13440 - l**7\/4032 - 67*l**5\/30 - 28*l**2 - 1. Let b(v) be the third derivative of f(v). Factor b(d).\nAnswer: -d*(d + 1)*(d + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.551556ms?\nAnswer: 2551556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 20. Let k be p(8). Suppose -k*l + 0*l = 12. List the prime factors of 1*((-245)\/l + 6\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4474544, 4474546, 4474548, 4474550, 4474552?\nAnswer: 4474554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2032, 8102, 18210, 32356, 50540, 72762, 99022?\nAnswer: 129320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**7\/21 - q**6\/12 - q**4\/3 - 5*q**2. Let k(c) = 0*c**3 - c**3 + c**4 - c - 2*c**4. Let f(u) = -8*k(u) + l(u). Factor f(x).\nAnswer: -2*x**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**5 - 597*m**4\/2 - 4707*m**3\/2 - 11451*m**2\/2 - 11199*m\/2 - 1926 = 0.\nAnswer: -4, -3\/2, -1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - -3 - 80\/(-2). Let c = a - 9. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21\/2, 9, 5, -0.4 in increasing order.\nAnswer: -0.4, 5, 9, 21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.7 + 25. Let l = p - 0.4. Let w = 6 - 8. What is the nearest to l in -0.3, w, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9295722 years?\nAnswer: 0.009295722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7757616 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3051653\/66 - 19\/114.\nAnswer: 46237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 20, 38?\n\"Answer: 18*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85 or -59780\/699?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*t**3 + 122*t**3 + 125*t**3 + 239*t**3.\nAnswer: 340*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 234*l**3*y**2 + l**3*y + l**2*y**2 - 24*l**2 + 9*y**2 wrt l?\nAnswer: 1404*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -43443969 to the nearest ten thousand.\nAnswer: -43440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 20 = c, 16 - 50 = -5*a - c. Suppose j + 20 = -5*h, -2*h - a = j - 1. Solve 0*s + j*p + 7 = 2*s, -s - 4*p - 16 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5 - 12*d**4 - 70*d**3 - 96*d**2 - 40*d = 0. Calculate d.\nAnswer: -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**6\/60 + q**4\/24 - 2*q**2 - 4. Let w(h) be the second derivative of z(h). What is the second derivative of w(x) wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*c - 22*c + 47*c + 52*c to the form j*c + b and give j.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) 11 (c) 52.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 148, 143, 136, 127, 116?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 811262935 divided by -1115905\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6638 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 2*f**2 - 2. Let q be k(2). Suppose -4*z = -2 - q. Suppose d - 9 = -z*d. Solve 2*h = 5*t - 21, 2*h + 6 = -t + d*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 6:26 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/4 (b) 1\/6 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11994.971 - 11990. Let w = u - -0.029. Which is the second smallest value? (a) -3 (b) 2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*5*4*(1 + sqrt(500)))**2.\nAnswer: 128000*sqrt(5) + 3206400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 885078533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 44 = -5*j, -5*z - 21 = j + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -32*u + 41. Calculate o(4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1507.094 - 1507. What is the third smallest value in m, 0.097, -0.4?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866736567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 11. Let h(x) = -56*x - 53. Let b be h(-1). Find the second derivative of 23*c - 13*c**b - 2*c**3 - r*c**3 wrt c.\nAnswer: -108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4621860 = -73*o + 4618429 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 885, 1682, 2479, 3276, 4073, 4870?\nAnswer: 5667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/27880 and 49\/357272.\nAnswer: 73240760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 1 = -7*t + 15*h, 0 = 3*t + 4*h - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)*l*l*l**20 assuming l is positive.\nAnswer: l**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.1, 0.0432, 662, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + r - r - r + r + 3*r + (1 + 0 - 3)*(2 + 2*r - 2) + 2*r - 3*r - r - 65*r - 6*r - r as g + v*r and give v.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -0.3 (c) 2 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 34*q - 33*q. Let k(n) = 34*n - 10. Let b be k(q). What is the common denominator of 1\/64 and (b\/(-12) - 0) + (19 - 19)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3)*(-12)\/8. Let b be (-1)\/4 + l\/4. Is b < 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/(-288) + (46\/(-78))\/1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.068 in 5, -25, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d1ba3 - -51?\nAnswer: d1c14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1862 - -1864. Let v(p) be the second derivative of 1\/3*p**4 + 0*p**q + 0*p**3 - 14*p + 0. Let f(r) = 2*r**2. Calculate f(v(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -4*l + 10, 9017*l + 52 = 9018*l + 8*n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.05 to one decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (47229\/(-190190) + 12\/570)*2?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:14 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121411 is divided by 70086.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/30 - 204\/1080.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-2)*-2*10\/(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02732 rounded to 3 dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 6, 3168, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3224, 3221, 3218?\nAnswer: 3215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u + 5. Determine p(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -627836*f**2*g**3 + 222*f**2 - 666570*g**3 - 39*g**2 wrt f?\nAnswer: -1255672*f*g**3 + 444*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 818 divide 98865934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 25 + 11. Suppose 3*u = 7*u - 16. Solve u*w - r = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 6*j = 126. What is the lowest common multiple of 7 and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2751 - 284 = -v + k, 0 = -v - 5*k + 3065. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3197200000 to the nearest one million.\nAnswer: -3197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ene when three letters picked without replacement from eeeneeneeeeeeeenene?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from zzzzizizijziz?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*x - 4907*f**3 + 2*f**2*x + 2*f**2 + 25*f*x + 580*x wrt f?\nAnswer: -12*f*x - 29442*f + 4*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -2*q - 53, -503*q - 3*o - 69 = -500*q for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 5*a + 112 = 4*r, -4*r + 162 = 3*a. Let c be (20\/(-5) + 12)\/(a\/5). Suppose -16\/5*q - c*q**2 - 6\/5*q**4 + 0 + 26\/5*q**3 = 0. Calculate q.\nAnswer: -2\/3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-38) - 230\/(-19).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3784261*c**3 - 152703*c**2 wrt c.\nAnswer: 22705566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16558043 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118686 is divided by 7002?\nAnswer: 6654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -69*z + 74*z. Suppose -z*f = 3*c + c - 327, -4*f - 4*c = -436. What are the prime factors of f?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, -137, -309, -567, -923, -1389, -1977?\n\"Answer: -2*l**3 - 25*l**2 - 9*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - 3*s + 2*s**3 - s - 17728*s**2 + 20165*s**2 + 3*s.\nAnswer: 2*s**3 + 2437*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438409.\nAnswer: 438409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/2 + 1307*v**2\/2 - 9703*v + 16796 = 0. Calculate v.\nAnswer: 2, 13, 1292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 241508 and 19195?\nAnswer: 13282940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-30))\/((-1)\/9). Suppose -3*g + g = -k*j + 131, -12 = 3*g. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 + 8*l**2 + 8*l + 3. Let a(s) = s**3 - 1. Let j(g) = 3*a(g) + c(g). What is the tens digit of j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 22*v + 82. Give p(24).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/3 - 133952*b + 12857344\/3 = 0. What is b?\nAnswer: 32, 200896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 46*t**2 + 133*t + 2714. Is j(-32) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10936750 rounded to the nearest 100000?\nAnswer: 10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 3. Let f be b(1). Let d(u) = u**3 - u**2 + u + 1. Let a(m) = 2*m**3 - 4*m**2 + 2*m + 5. Give f*d(w) + a(w).\nAnswer: -2*w**3 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**2)**(37\/5)\/(q\/q**(-2)*((q**(-7)\/q)\/q*q)\/q))\/((q*q**(1\/4)*q)**(-36)*(q**(-2\/7)\/q)\/q**(-3)) assuming q is positive.\nAnswer: q**(2726\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 + -1.6. Sort 3\/5, v, -0.1 in descending order.\nAnswer: 3\/5, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 0)*(60 - 34 - 36)*(2*c + c - c).\nAnswer: -80*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2650?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/4 + 22871*v**2\/4 - 45754*v + 91516 = 0.\nAnswer: -22879, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 24. Calculate the remainder when h is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let h(c) = 160 + 3*c - 5*c - 159 - c. Give -h(a) + 4*z(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4253615 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -157 and 0.181.\nAnswer: -28.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 15b?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a5995b0 + 2?\nAnswer: 3a5995b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**5 - 3*d + 3*d + 2*d**5 - 6*d**5 + 3*d**5 + (6 - 4 - 4)*(0*d**5 + 2*d**5 + d**5) - d**5 + 3*d**3 - 3*d**3 + (-d**4 + 2*d**4 - 3*d**4)*(-1 + 1 - 2*d).\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 4\/36*-73 and 32\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77\/8 - -21\/2. Are h and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -9280.\nAnswer: -13\/4640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/5 of a century?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(88) - (sqrt(88) + 3*sqrt(88)) - sqrt(88)) + sqrt(88))\/sqrt(8).\nAnswer: -23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 158870?\nAnswer: 635480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-8))\/(13980\/(-3728)). Let l be 557\/12 + 3\/9. Let r = l + -47. What is the second biggest value in r, -1\/8, -0.2, f?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -4. What is the second derivative of 6 + 4*n - s - 2*n**2 wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5563053?\nAnswer: 3, 206039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.4. Let i = 0.3999999 + w. What is i rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2600*j**5*z**3 - 6*j**5*z - 218*j**2*z**3 - 13*j*z**3 wrt j?\nAnswer: -156000*j**2*z**3 - 360*j**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6*(-65)\/(-180)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/((-12)\/63*12\/(-8)). Suppose a*c = 16*c. Solve 20 = 3*l + 4*n - c*n, 10 = 2*l + n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -8 - 9 - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**4 - 4080*q**3 - 54541535*q**2 + 109099350*q = 0. What is q?\nAnswer: -2921, 0, 2, 3735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**3 + 37*w**2 + 10*w + 7. Let y(j) = -4*j**3 - 38*j**2 - 10*j - 4. Let n(c) = -4*x(c) - 3*y(c). What is the second derivative of n(p) wrt p?\nAnswer: -24*p - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22352 (base 7) to base 2\nAnswer: 1011000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - 9) + 1642329\/184626 and 29\/2630?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8359 and 2184.\nAnswer: 1404312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -273*f + 143. Let a(v) = 2*v - 1. Calculate 858*a(u) + 6*j(u).\nAnswer: 78*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g - g + 29 + 12*g - 9. Let y(n) = 7*n + 7. Let f(s) = 6*x(s) - 17*y(s). What is f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77332.18 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -626, -569, -510, -449, -386?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -8. Let n = -16.6 + 16.5. Which is the nearest to -1\/3? (a) n (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 386?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 122 (b) 0.01 (c) -20 (d) -5 (e) 0.5 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2067 + 5209. What is the remainder when b is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.19 + 30.09. Let z(y) = 9*y + 14. Let w be z(-1). Which is the second biggest value? (a) w (b) o (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007045 to 5 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 53*g**2 + 316*g - 17. Give p(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*c**2*z**4 + 2*c**2*z - 3*c + 3*z**4 - 9*z**2 wrt z.\nAnswer: -336*c**2*z + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 17*u - 111*u**2 - 15 + 57*u**2 + 56*u**2 - u. Let y be s(20). Let d = y + -266. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25208409 by 3.\nAnswer: 8402803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -562, -387\/64?\nAnswer: -387\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aruggma. What is prob of sequence mr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = -7*y + 8265. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -378624 divided by -1479\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**5\/20 + r**4\/4 - 5*r**3\/6 + 3*r**2. Let f(u) = 3*u**2 + 7*u - 6. Let y(t) = -7*a(t) + 6*f(t). Differentiate y(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 - v + v + 9 - 3*v**3 with respect to v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.3, -1738, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4*o**2 - 2 + 4*o + (2*o**2 + 2*o**2 - 2*o**2)*(3 - 4 - 1) + 2 - 2*o**2 - 2 - o**2 + 4*o**2 - o**2.\nAnswer: -8*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**2 + 138*f + 135 = 0.\nAnswer: -45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*d**2 - 7*d**4 + 36*d**2 + 28*d**4 + 212 + 65*d**4 wrt d.\nAnswer: 344*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-125))\/((3\/5)\/(-90*93\/(-1860)))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/3640*12\/2)\/(7\/((-105)\/6))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckhccko. Give prob of picking 1 k and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -610*k**2\/7 - 5798*k + 2664\/7.\nAnswer: -2*(5*k + 333)*(61*k - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k**2 - 42*k - 41. Calculate j(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -5*g**3\/6 - 1775*g**2\/2 - 6008. Factor j(q).\nAnswer: -5*q*(q + 710)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5554, 5609, 5760, 6055, 6542?\n\"Answer: 8*s**3 - s + 5547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*c - 13, -5*c - 1779*p + 33 = -1777*p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 13857277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17a3 (base 16) to base 6.\nAnswer: -44003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwyxrewr. What is prob of picking 1 r, 1 w, 1 y, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**6\/360 - o**5\/40 + o**3\/3 - 3*o**2. Let x(h) be the first derivative of t(h). Find the second derivative of x(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 782*f**3 - 4*f + 5*f - 861*f**3 to the form k + x*f + m*f**3 + q*f**2 and give m.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10950 by -1.\nAnswer: 10950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 255251.45 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 26*j + 100. Give n(29).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 2 + 3)*(3 - 4 - 5) + 1 - 1 + 2)*(7 - 7 - 11*c**2) to z*c + k*c**2 + o and give k.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 16*k**2. Suppose 0 = -3*o - 6, 2*v + 2 = -2*o - 6. Let u(d) = -3*d**2. What is v*a(h) - 11*u(h)?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(10\/(-8)) - ((-39)\/(-3) + -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 19*s**2 - 10*s + 40. Let h be m(10). What are the prime factors of (((-219)\/4)\/3)\/((-5)\/h)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(28)\/sqrt(4) + ((0 + sqrt(7))*3)**2.\nAnswer: -5*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5629 = 2*x + 2151, -5*z + 1748 = x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/18)\/(2\/(-24)*8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2031*g + 18028 = -4202 + 30049 + 36863 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + 103. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + 0 + -2 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 208*g - 17. Is r(51) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/3))\/i**11*i\/(i*i\/i**(-14))*i\/(i\/((i*(i*i**(-3\/7)*i*i)\/i)\/i)))**(1\/4) assuming i is positive.\nAnswer: i**(-253\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 + 54*x + 5. Determine z(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) + ((-244)\/(-12) - -1). Suppose 26*k + f = 27*k. Let w(x) = 9 + 5*x - k + 12. Let a(b) = 5*b. What is w(a(l))?\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -204, -460, -810, -1248, -1768, -2364, -3030?\nAnswer: -3760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(40)*-2 + sqrt(40)) - (4 + ((-2*sqrt(15) - sqrt(15)) + sqrt(15))\/sqrt(3)))**2.\nAnswer: -12*sqrt(5) + 109\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 330 - -5?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-6887)\/97)\/4757*-1\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1494 - 290. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6356*d - 6366*d = 120 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3.38, 3\/578, -2\/23.\nAnswer: -2\/23, 3\/578, 2, 3.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 6. Let y be v(-8). Suppose y*a + 2*a = -700. Let o be (4\/(-5))\/(7\/a). What is the greatest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 1974 (c) -7856\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 91\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 398*k - 2503. Determine v(6).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 74215 - 12a6?\nAnswer: 72b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1136548 is divided by 1135683.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/1223 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268 by 67.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, -93, -437, -1119, -2253, -3953, -6333?\nAnswer: -9507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*z. Suppose 0 = -2*m - 15*n + 12*n - 5, -4*n - 10 = m. Factor -3\/5*d**3 + 3\/5*d + z + 3\/5*d**m - 3\/5*d**4.\nAnswer: -3*d*(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + -2 + 2 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 542. Let l(k) = 3*k - 3. Calculate l(x) - q(x).\nAnswer: 2*x - 545","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 3 + (-2 - 1). Suppose -4*g = -0*g + 12. Is g\/(((-2)\/(-19))\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 12. Let v(l) = 29*l + l**3 - 31*l + 2*l**2 - 5 + 3*l**2. What are the prime factors of v(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -14*m**2 - 11*m - 14. Suppose 0 = 8*u - 176 + 40. Let p(w) = 5*w**2 + 4*w + 5. Let f be 2\/7 - (-40)\/7. Determine f*o(i) + u*p(i).\nAnswer: i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1722637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 3. Let f be v(3). Suppose f = 2*d - d + 2. Let h be (d\/(0 - -1))\/9. Which is the closest to -1\/3? (a) h (b) 5\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*t - 27, -18*t + x - 13 = -21*t. Suppose 3*f - t*h = 510, f - 3 = 3*h + 171. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(128) - sqrt(128)) + sqrt(128) - sqrt(128))*2)\/(sqrt(40)\/((2*sqrt(60))\/sqrt(6))).\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + n**3 + 8*n + (-3*n**2 + 2*n**2 + 3*n**2)*(-n + 0 + 0) - 3*n**3 - 2*n**3 - 2*n**3)*(-n - 2*n + 1 + 0)*(4*n - 2*n - 3*n).\nAnswer: -24*n**5 + 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6021256037.94558 and -4.\nAnswer: -6021256041.94558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2788563 or -2788560?\nAnswer: -2788560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20118305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 4*c + 1. Let q be m(-4). What is the greatest common factor of 8 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253973961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -13. Let g be 4\/(-14) + (-16)\/(-7). Suppose o = -p + 1 - g. Is p at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - 0. Let y = 49.1 + a. Let g = y - 0.5. What is the second smallest value in 4, -2\/9, g, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a week in hours?\nAnswer: 5796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**3 + 0 - 2*c - 2 - 4*c**2 - 4*c**3. Let i be n(-4). Let y(o) = -5 + 4 + 1 - 8*o**2 + i*o**3. Let u(d) = d**3 - d**2. Calculate -8*u(g) + y(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3700 and 700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -55838, -111669, -167480, -223271?\n\"Answer: 10*n**2 - 55861*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*l + 240*l - 895876 - 1812452 = 0. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m - m)*(1479 - 739 - 679 - 3*m).\nAnswer: 6*m**2 - 122*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.345, 0.1, 5, -3, 2\/7 in increasing order.\nAnswer: -3, -0.345, 0.1, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**2 - 5*l**2 + 3*l**2)*(3 - 4 + 3)*(-8 + 4 - 2)*(-11*l - 16*l - 28*l) in the form g*l**2 + q*l + p*l**3 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 4:24 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-15))\/1*(3 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a. Let w(g) = -28*g. Calculate i(w(k)).\nAnswer: -168*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Suppose -d + k - n = -2*d, 5*k = 0. Suppose -d = -4*u + 13. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*w**2 + 266*w**2 - 83*w**2 - 99*w**2 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) + 10\/3. Let z be (-8)\/(y + -5) + 0. Solve 0 = -z*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614507 is divided by 204108.\nAnswer: 2183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 702 - -1266. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 + (11 - (-9 + 4 - 10)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/((1496\/255)\/22) and -27\/109.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 5:50 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 1\/12*y**4 + 0 + 2*y + 3\/2*y**2 + y**3. What is j(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2 = 19. Let a be (-15 - l)*(-2)\/8. Let f(q) = 11*q**a - 4*q - 23*q**2 + 11*q**2 + 1. What is f(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -23, -14, -4, 3, -2 in descending order.\nAnswer: 3, 1, -2, -4, -14, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from zigzg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 7*r**2 - 4*r - 5. What is the remainder when s(-7) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -3 - 1)\/1. Let c be 3\/w + 5\/(-2). Suppose -37 = 5*v - v + 5*t, -v - 13 = 2*t. Sort 1, c, v in ascending order.\nAnswer: v, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 325*c**3 - 2*c**2 + 371*c wrt c?\nAnswer: 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43752a6 (base 11) in base 3?\nAnswer: 112110010110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 15. What is the remainder when 8 is divided by l(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 8*g = 62, -14 = 3*h - 392*g + 396*g for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 113 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = -3*i. Suppose 0*x = x - i. Which is smaller: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from {w: 3, h: 5, b: 1, p: 6}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywq. What is prob of sequence qyq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -195 + 193. Is 5 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*w + 8*w + 6*w)*(5 + 4 - 4)*(4 - 4 - 3) in the form m*w + y and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2760\/6173 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*i = 351, -4*i + 585 = 3*l + 2*l. Let t = -500 + 509. What is the greatest common factor of l and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54795 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2692 - 2682. What is the greatest common factor of 2560 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -264, -545, -830, -1119?\n\"Answer: -2*h**2 - 275*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2209)\/(-9711) + 22\/(-99). Let s = w + -22096\/6056427. Let y = s + -43087\/33678. What is the common denominator of y and -81\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -57*c + 69. Let k(h) = 2*h**2. What is v(k(z))?\nAnswer: -114*z**2 + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 7 - 29850*u + 1 - 13.\nAnswer: -29850*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -252196\nAnswer: 252180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 241003 - 2?\nAnswer: 241001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 6*l + 3*k - 64, 4*l + 41 = -k. Is -17 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.693878773 rounded to 3 dps?\nAnswer: 2.694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*b + 21, 3*s = -3*b - 391 + 370. Solve b = 3*h - 2*o - 13, 10*h - 2*o - 8 = 8*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6) + -2 + 3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 8. Let b(k) = -20*k + 16. Let i(n) = -7*n + 5. Let g(f) = 3*b(f) - 8*i(f). What is 4*g(h) - 5*r(h)?\nAnswer: -h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2883, 11056, 19229, 27402?\nAnswer: 35575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(v**4 - 4 + 4) + 32*v**4 - 650*v - 53*v**4 + 601*v.\nAnswer: -19*v**4 - 49*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39558901511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 174, -51?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43894 - -43893.25276. Round h to 3 dps.\nAnswer: -0.747","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/13 (b) -299 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - 6*p. Let x(n) = n**2 - 7*n. Let r(a) = 7*i(a) - 6*x(a). Let y(o) = -8*o**2. What is r(y(w))?\nAnswer: 512*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 23*y**2 - 24*y + 45. Let u be v(-24). Suppose 0 = -11*t + 10 + u. Let p(i) = t*i**2 - i**2 - 6*i**2. Let k(l) = -19*l. Calculate p(k(s)).\nAnswer: -722*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07873796 - -27?\nAnswer: 27.07873796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 10, u: 6}. Give prob of picking 2 j and 1 i.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 221, 346, 475?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.32 + 2.28. Let f = 0.6 - r. What is the closest to -0.1 in 2, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677.27394 microseconds in weeks?\nAnswer: 0.00000000111983125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -12. Let c = -10 - l. Suppose c*b + 9 = -b + 3*u, -b + 5*u - 23 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14889, -29535, -44181, -58827, -73473, -88119?\n\"Answer: -14646*r - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 4*a**2 - 4*a + 5. Let d be u(5). Let q(v) = -2*v + 10. Let o(j) = 1. Let i(z) = d*o(z) - q(z). Let s(g) = 13*g**2. Determine i(s(x)).\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(0*a**2 + 0*a**2 + 2*a**2) + 2504*a**2 + 4532*a**2 + 5179*a**2 - 2795*a**2 - 695*a**2.\nAnswer: 8729*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21142\/35 - -604. Let b = -48\/385 + s. Sort -5\/4, -4\/9, b.\nAnswer: -5\/4, -4\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-189 + 182 - (0 - 37)) - -14\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1370 = -5*v - 5*l, 5*v - 9*l = -7*l + 1363. Suppose 307 + v = 5*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21582.\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**4\/2 - 5*i**3\/3 + 7*i**2\/2 - 5*i - 59. Let x(q) = -q**3 + 3*q**2 - 4*q + 3. Give 6*u(j) + 10*x(j).\nAnswer: 2*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 2:23 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1423 - 318 = 85*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 19*a**2 + 86*a - 13. Let m be s(12). Suppose 1 = q + h - 0, 0 = 5*q + h + m. Put -2, q, 23 in decreasing order.\nAnswer: 23, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43314831229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 2*x - 1. Let r(i) = -i**2 - 3*i + 4. Let b be r(-3). What is the remainder when (8\/(-6))\/((-568)\/(-72) - 8) is divided by s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.41 + -3.59. What is the nearest to 15 in g, 0.5, -0.18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16810555\/24 bigger than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3 + (3 - 3 - 2)*(1 - 5 + 3) + 3 + 1 - 1 - 10 + 45 + 0)*(u + 2*u - 5*u)*(1 + 2 + 2) to the form s + w*u and give w.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.59 - 0.41. What is the third biggest value in z, 3, 7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t\/((t\/t**(-12))\/t))\/t)))**(-1\/4)\/(t**(1\/3))**(1\/36) assuming t is positive.\nAnswer: t**(323\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + -1*(-18)\/2. Let g(z) = z**2 - 6*z. Let i(o) = o. Calculate w*i(f) + g(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -225 + 5067*n**2 - 9*n - 5066*n**2 - 5*n wrt n.\nAnswer: 2*n - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8904120 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1392, -1364, -1332, -1296, -1256, -1212, -1164?\nAnswer: -1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlqqlxpqmlqxlppmll. Give prob of sequence mxmq.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2807 is divided by 29 + (-15 - -1) + 186?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 160, -0.5, 0.5, 0.3, -0.4, 17\/38?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -125*r**3 + r**2 - 5*r - 6. Let h be i(-1). Let u = 127 - h. Solve -u - 2 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 * 2874\nAnswer: 517.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 11*h - 156. Let z = -127 - -247. Calculate the greatest common divisor of z and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115428633 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqoae. Give prob of sequence oaqe.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -35 (c) 9 (d) 0.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8742.638 millimeters in meters?\nAnswer: 8.742638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwwj when four letters picked without replacement from qwyywywyqjyqwy?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -545 - -1126. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -114, -115, -116, -117, -118?\n\"Answer: -u - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) + 176\/33. Let r(v) = v**3 + v**2 - 6. Let g be r(0). What is the tens digit of o\/30 + (-749)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cacc (base 13) to base 7.\nAnswer: -145165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-18) + -2 - 60\/(-18)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -8 + 4. Suppose -6*c = -5*y - u*c - 230, 5*y - 5*c = -245. Let h = y - -91. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.53 - -0.23. Let p = 13\/2 + -6. Which is the closest to p? (a) 0 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 + 12\/5. Suppose 2*h = -5*j + 26, 4*j + 3*h = -2*h + 31. Suppose j*p - 10 = -p. Solve 6*u = 3*u - p*b - 13, 4 = -g*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5067540 by -20.\nAnswer: -253377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 6.94. Let d = 0.04 - p. What is the second biggest value in 0.5, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3009 (b) -0.3 (c) -1\/70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - 66 - ((0 - 4) + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -36, -22, -2, 24, 56, 94?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 2}. Give prob of picking 3 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13470479573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*d**2 - 34*d**2 + 86*d**2.\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2. Suppose -328 = -4*k + 4*w, -k + 4*w = w - 74. Let g(n) = 191*n - 91*n - k*n. What is g(o(s))?\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -55. Let l be -2*(1\/4 - 0). What is the third smallest value in l, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 0*g**3 - g - 11*g**2 + 42496*g**4 + 3*g**2 - 42493*g**4 - 3*g**3 as l*g**3 + s*g**2 + p*g + a*g**4 + z and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 7) in base 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + ((7 - (8 - 14)) + -5 - 6)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -947, -1984, -3015, -4040, -5059?\nAnswer: -6072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 1, -979304 in descending order.\nAnswer: 35, 1, -979304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/26610 and 91\/4736580?\nAnswer: 4736580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 6) + -3 + 5 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q**2 - 265*q - 1002. Give d(-4).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - u**2 - 2*u + 5. Let s be d(-3). Solve -2 = 2*x - 4*z, -4*x - 4*z = -z - s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -4.1. Let r be 1\/(0 + -1) - 3. Let k = 16.6612 - 21.6612. Which is the second biggest value? (a) 0.6 (b) r (c) s (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1242\/13 (b) -1\/2 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 4*k - 4, 5*k + 55490*z - 11 = 55492*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**7\/14 - k**6\/20 - 3*k**5\/4 + 2*k**4 - 2*k**3 + 129*k**2. Factor z(u).\nAnswer: 3*(u - 1)**2*(u + 2)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from yuiii.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7402997 by -283.\nAnswer: 26159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4720 and 708?\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/(2*(-7)\/(-28))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n**2 - 3*n + 6. Let v be s(3). Let g(k) = k + 11. Let y be g(-6). Let t be 7\/(v\/6)*y. Let w(c) = -c + 2. Give w(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84680604 and 9129?\nAnswer: 84680604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12cde9 + 6?\nAnswer: 12cdef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 28299*a**2. Let q(m) = 4*m. Give z(q(c)).\nAnswer: 452784*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38478 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1305 + 565. List the prime factors of b.\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u + 75 - 75)*(1 - 3 - 2)*(0*u**2 + u**2 + 2 - 3).\nAnswer: 48*u**3 - 48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jee when three letters picked without replacement from eejejeejjjeejj.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24222 + -1472. Is (-14)\/21 + (-2 - m\/(-15)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14618 + 532619 = 15189*v + 46074 - 30452 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 277 + -250. Suppose -u = -19*o + 11. Solve o*s - 1 - 5 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 2 + -29 + (-101 - -119) + -17.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3046061*p**3 + 1427750*p - 2 wrt p?\nAnswer: 18276366*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3403 + 14554. What are the prime factors of h?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 60. Solve -2*m + 5*k - 12 = 2, -2*k - 2 = z*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 571*y + 21. Let s(l) = -2*l - 4. What is 5*s(x) + v(x)?\nAnswer: 561*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4035482.968 + 4049475. Let b = -14041 + w. Let s = b - -49. Round s to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -5 (c) 0.18 (d) -1317 (e) -2\/21 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3645) - -2*sqrt(3645)) + sqrt(3645) - sqrt(3645) - sqrt(45))\/(-2*sqrt(63)\/sqrt(7)).\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4271\/9 - 475. Which is the second smallest value? (a) i (b) -3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14044 + 3346 + 6793*z**2 - 1346*z**2 + 1622*z**2 + 3333*z**2 wrt z?\nAnswer: 20804*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(-18*u + 11 - 11)*(4 + 0 - 2)*(u - 3*u + 0*u) to z*u + y + a*u**2 and give a.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7940 is divided by 178.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j + 212 = 131 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1936 (b) -0.4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 r when three letters picked without replacement from {r: 6, k: 2, q: 1, a: 4, o: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n - 115 = -33. Solve n*m + 2 = 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/5 - 26*n**4\/5 + 216*n**3\/5 - 486*n**2\/5 - 729*n\/5.\nAnswer: n*(n - 9)**3*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 25 = 15*z - 12*z, -4*t - 35 = -3*z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 284\/(-1072) + (-2)\/(-8). Let y = 137\/201 + h. What is the biggest value in -0.2, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 12*a**2 + 3. Let c = 8 - -4. Let b be l(c). Let h(j) = 4*j**2 + 4 + j - 2*j**2 - 6*j**2 + j**b. Calculate h(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27969.\nAnswer: 3, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from {s: 2, j: 2, f: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 295*q**2. Let l(c) = -2*c. What is a(l(y))?\nAnswer: 1180*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 13*r**2 - 12*r - 2. Let u be g(12). Is -4 + (-1)\/(u\/146) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - (sqrt(120) - (sqrt(120) - (sqrt(120)*-4 + sqrt(120))))\/sqrt(3))*2)\/(sqrt(88)\/((sqrt(99) + -3*sqrt(99) + sqrt(99))\/sqrt(9))).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1489203?\nAnswer: 3, 337, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1444.601ns?\nAnswer: 0.000001444601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*d - 17128, -3*d - 2619 + 19779 = -3*z. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -13. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, -54, -128, -244, -408, -626, -904?\n\"Answer: -r**3 - 12*r**2 + 5*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((4 - -31) + -72).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-1\/17)\/((v*v**(-10))\/(v\/v**(-2))))**(-10) assuming v is positive.\nAnswer: v**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 2 (c) 0.3 (d) 24\/17 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.7 - 3.7. Let g = -0.59 - -0.19. What is the second biggest value in q, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1000*n + 15002. Let q be w(15). Factor -2*f - 5\/3 - 1\/3*f**q.\nAnswer: -(f + 1)*(f + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265676753?\nAnswer: 19, 13982987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - z**2 + 4*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31307 is divided by 3111.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 28 = 5*k + 8, k + 12 = -5*v. Let y(l) = -k*l + 20*l - 8*l - 5*l - 6. Calculate y(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, h: 5}. Give prob of picking 2 c.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -18. Which is the third smallest value? (a) 0.1 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.458399 + -1.7415942. Let v = l + 4.2. Round v to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 24141\nAnswer: -9\/8047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 1323.\nAnswer: 50274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200333013 - 330130?\nAnswer: -201323203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.4 - -35. Let k = 15 + -28. Let x = 9 + k. Sort 0.3, n, x.\nAnswer: x, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/465 and -1\/2232.\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/102)\/((-5)\/3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 - -94.9845. Round a to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5324 - -39648. What is the thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 160002 + -159999. Let j = 0.16 - -1.04. Let p = j - 0.2. What is the third biggest value in p, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11295.549444 rounded to the nearest 100?\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -9. Let k(d) = -d**3 + 8*d**2 + d - 3. Let i be k(q). Find the second derivative of 27*m - 2*m**i - 3*m**5 - 22*m wrt m.\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 10*i**2 + 6*i - 6. Differentiate k(l) wrt l.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 973 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. What is the closest to -1\/2 in 0.4, 2\/9, v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 8*b + 2. Let p be (-3)\/(-1) - 8\/(-2). Calculate s(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02076 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47 + 47 - 56*f)*(3018 - 1500 - 2166) in the form r*f + g and give r.\nAnswer: 36288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 5. Let j be z(5). Suppose -2 = -3*u - 4*y, u + 5*y + j*y - 8 = 0. Let v(l) = l**3 + 3*l**2 - l - 1. Determine v(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/19? (a) 0.05 (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4630384445153 - -4630411183855.99831. Let p = 26738847 - c. Let u = -144 + p. What is u rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekkeeeerkxnxeeeee. What is prob of sequence xxek?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4148, 16578, 37294, 66296?\nAnswer: 103584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 - 4*p - 78)*(p**3 - 2*p**3 - p**3).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -18*a**2 + 2*a. Let y(l) = l. Determine j(y(i)).\nAnswer: -18*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 686\/141?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-325))\/(6\/(-5))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 2*l + 12, -4*l + 24 = -6*a + 9*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:18 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sccsssscccsss. What is prob of picking 4 s?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2912058 divided by 6\nAnswer: -485343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128 - -110. Let n = -13 - -10. Let d be (-24 - 3)*(-2)\/n. Is d bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12493417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**2 - 5589*c + 5592 = 0.\nAnswer: -1864, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2222949880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26520)\/(-14) + 7 + (-6)\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 894 - 382. 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 x(k) be the first derivative of -2*k**5\/5 + 4*k**4 - 14*k**3\/3 - 27. Find h such that x(h) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 515 - 299. Suppose 0 = a - 9*a + q. Let y = a + 62. What are the prime factors of y?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.8 - -15. Let j = -0.6 + l. Let f = -0.07 - 0.23. Sort f, -3, j.\nAnswer: -3, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 4*m + 1. Let y be x(-3). Suppose -237*r = -172 - 2198. Sort 0, r, y.\nAnswer: 0, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = i + 9, -4*i - 3*z - 10 = -4. Suppose 0 = 3*g + 4*d - 9, 2*d + 3*d - 18 = 3*g. Let f be (g - (-3 - 0))\/23. What is the closest to 0 in -5, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 (base 12) in base 7?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*r - 2*q + 19, -31794*r + 4*q = -31798*r + 3*q - 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -66, 99324 in decreasing order.\nAnswer: 99324, 3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*(sqrt(297) + 1*sqrt(297)) - -2*sqrt(297)*-2)\/(((sqrt(36)\/sqrt(4) + sqrt(9) + sqrt(9) - sqrt(9))*6 + sqrt(9))\/(sqrt(300)*2)).\nAnswer: -480*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/(-64)*-23 + (-1)\/1 and 49\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91529437 times -0.5\nAnswer: 45764718.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-2)\/(3\/9*-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 85 + 73. Let y = m + -48. Let j = 49 - y. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428496 is divided by 744.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 1, n: 1, a: 2}. Give prob of picking 1 h and 1 d.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40444885 is divided by 1351?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/12)\/(10\/(-505)). Let z = -25 - 8. Let k = l - z. Put -0.2, k, 1\/3 in descending order.\nAnswer: 1\/3, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2055624, -2055612, -2055604, -2055600, -2055600, -2055604, -2055612?\n\"Answer: -2*g**2 + 18*g - 2055640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 + 69*s + 682. Give b(24).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 213 - 98 = 0. Put 5, s, 3, 0 in ascending order.\nAnswer: s, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0. Let b = 7\/26 - 115\/234. Let n = -0.5 - -4.5. What is the third biggest value in r, b, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*h - 36. Suppose -g = -4*b + 6 + 9, 3*b - h = g. Solve 21 = 5*s + i, b*s - 2*i + 0*i - 10 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 0*y**2 + y**2)*(-3 + 4 - 4).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1923042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083 is divided by 275?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**4\/24 - 5*w**3\/6 - 2*w**2 - 4*w. Let m(r) be the first derivative of a(r). What is the units digit of m(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3493991792 rounded to the nearest one hundred thousand?\nAnswer: -3494000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5441016 a multiple of 932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r + 5. Let f(a) = a + 1. Let g(y) = 4*f(y) + w(y). Calculate g(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 268 and 96933188?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*r - 33*r - 55*r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128*c**3 + c**4 + 24*c**3 - 2*c**4 - 33 + 47*c + 77*c**3 - c**2 + 8*c**5 wrt c.\nAnswer: 480*c**2 - 24*c - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*z + 20 = 0, 0*z = -3*u - z + 4. Solve 4 = -u*p + p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-421*q**4 - 423*q**4 + 808*q**4)*(-q - q + q).\nAnswer: 36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48.2 - 48.19997985. Round y to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/(-44))\/((-4)\/(-5872)). Suppose -j + 3041 = 2*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.372, -1, 0.4 in descending order.\nAnswer: 0.4, 0, -0.372, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/16)\/(5\/20). What is the closest to 25\/2 in w, -2, -2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 262 + -240. Suppose -t*k - 16 = -30*k. Solve 18 = -4*x - k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 8:01 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96864, -104589, -112316, -120045?\nAnswer: -127776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -64, -113, -184, -283, -416?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((0 + sqrt(75) + -4 - (-1*(0 + sqrt(75) - sqrt(75)) - sqrt(75) - sqrt(75))) + 3 + 5)*-1)**2.\nAnswer: 240*sqrt(3) + 1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42846741 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/5)\/(n\/n**4*n))**(1\/34) assuming n is positive.\nAnswer: n**(7\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2628.38867308528 - 50159910.28867048528. Let p = t + 50157287. Let s = p + -5.1. Round s to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1337 + 958 = 5*i. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 1043*u - 1044*u + 7, 1 = 5*y + 2*u + 20 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 349, 294, 203, 76, -87, -286?\n\"Answer: -18*s**2 - s + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2945762677?\nAnswer: 11, 13, 509, 40471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12.4214923 * 0.4\nAnswer: 4.96859692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 229\/94 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(200) - (-3*(sqrt(200) + sqrt(200) + -2 + sqrt(200)) - sqrt(200) - sqrt(200)) - (-1 + sqrt(200) + 1))**2.\nAnswer: -7920*sqrt(2) + 145416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*o = n + 105*o + 2, 0 = -5*n + 3*o - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -173733*z**2 - 156441 with respect to z.\nAnswer: -347466*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 10*z - 1. Let d be m(-7). Let k = -12 - d. Let u(w) = -w**2 + 12*w - 11. Does 9 divide u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 2*q + 2. Give n(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 481 + 352. Let m = u + -124. Let d(r) = -3*r - 5. Determine d(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**3\/3 + 7*t**2\/2 - 10*t + 1. Let k = 302 - 297. Let c be d(k). Solve c = -5*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000081486227 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**3\/3 - 7*z**2\/2 + 11*z + 1. Calculate the remainder when c(9) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -14*i + 21*i - 4*i**2 - 12*i. Let n(f) = f**2 + f. Give 5*n(z) + x(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008060954 to seven dps.\nAnswer: -0.0008061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21622649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:33 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2546 (base 9) to base 7.\nAnswer: -5361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 1)\/(4\/(-408)). Suppose 111*q + l = 112*q. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 3)*5 + 1.\nAnswer: 16 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*r - z - 31, 5*r + 3*z - 27 = 0. Suppose -3*j = 6, 2*m + j + 0*j = r. Solve u = -m*u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 u when four letters picked without replacement from {m: 1, a: 9, o: 5, u: 4, p: 1}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 0 + -5 + 0 + 2*sqrt(637) + sqrt(637) + -2 + (-1 + sqrt(637))*4*3)**2.\nAnswer: -4256*sqrt(13) + 163433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -245*t + 244. Let v be s(1). Let m(f) = -17*f - 2. Determine m(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27244 greater than -27243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 93.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270832273.\nAnswer: 16433, 16481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z + 659 = 243 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 300756 * 0.3\nAnswer: 90226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.967 - -2.09. Let x = a + 2.877. Sort -2, x, -0.4, 1\/14.\nAnswer: -2, -0.4, 1\/14, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113.7 - -113.9. Which is the fourth smallest value? (a) 1 (b) -3 (c) -57 (d) -1\/8 (e) n\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*z**3 - 2 + 11*z**3 - 81*z**3.\nAnswer: -39*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -20*f. Let b(p) be the second derivative of p**3\/6 + 393*p. Calculate 72*b(k) + 4*w(k).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 89*l - 23. Let c be u(3). Let m = 557 - c. Suppose -m = -4*p + 175. Calculate the remainder when p is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2368126, -9472502, -21313128, -37890004, -59203130, -85252506, -116038132?\nAnswer: -151560008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34\/129 + 1933\/645. What is the common denominator of 47\/66 and l?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 4. Let j = g + 3. Find the third derivative of j*m**2 + 0*m**6 - 2*m**2 - 3*m**6 + 2*m**6 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 6 = 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45191?\nAnswer: 45191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-8)\/68 - ((-15715908)\/3060 - 1\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -786958860 divided by -4?\nAnswer: 196739715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d. Let z(f) = 29129*f**2 + 28952*f**2 - 58247*f**2. Give j(z(p)).\nAnswer: 1328*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 4*v**2 + 7*v - 6. Is d(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c + 489. Let k be p(0). Suppose 3*y - 3*z = k, -z + 632 = 5*y - y. Let m = -28 + y. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q. Let l(r) = -25*r - 2. Give -l(w) - 6*z(w).\nAnswer: 19*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 51 (b) -36 (c) -0.028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 892184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1 - 4) + (-11 - 624))*48\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 13078278?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8238.29938 rounded to the nearest one hundred?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*t - 203 = -11*t + 342. Let v = -9 + 13. Solve -v*o + 3*k - 6*k + 26 = 0, -t*o = -5*k - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.801701l in millilitres?\nAnswer: 5801.701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*d - 3*v, -5*d - 2*v + 40 + 12 = 0. Suppose d*g - 17*g + 75 = 0. What is the highest common divisor of g and 645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -37.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4\/3 + 445*f**3\/3 = 0.\nAnswer: -445, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81125 is divided by 56.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*3*2\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*9\/(-60))\/((-162)\/(-432)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36.38 + -36.44. What is the third smallest value in -1\/10, -59, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.05 * 5.\nAnswer: -10.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 + 27*s**2 + 16*s - 9. Let d be q(-13). List the prime factors of 146\/6 - d\/(-36).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -28. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 15*o + 14 + 7 - 35 + 4.\nAnswer: 15*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40 - 40 - 7*s**4 - 4*s**4 + 2*s**4 + 0*s**4 - 2*s**4 + s**4 + 2*s**4 + (-4*s**2 + 4*s**2 - 2*s**4)*(-2 + 0 + 3) + 3*s**4 - s**4 + 0*s**4.\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 1\/4, 0.4, -8, -18\/55, 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -22 - 48 - 6*p + 16. Let y be t(-9). What is the nearest to 2\/7 in -2, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 271787489 or 271787490?\nAnswer: 271787490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*j*m**2 + 65*j*m - 437*j - 388349*m**2 + 50*m wrt m.\nAnswer: -96*j - 776698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/40 - 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 0 + 0)*(1297 + 1649 - 3374).\nAnswer: 1284*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaaauuaaauua. What is prob of sequence ua?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1 and 1515021440.\nAnswer: 1515021441.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -958, -3806, -8546, -15172, -23678, -34058?\nAnswer: -46306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4*m + 13 = 0, -6*m + 11*m - 20 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14442839?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 34*d + d)*(-1 - 4 + 4) + d - 2*d + 0*d.\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7422?\nAnswer: 2, 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.1493 - 8.14967867. Round d to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182 + 182.35. Let l = -0.28 + b. Which is bigger: l or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 23. Let s be u(11). Which is the closest to s? (a) -1\/6 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(15\/6)*(-1)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 10, 9, 4, -5, -18, -35?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 7*v**2 + v - 2. Let s be 46*-1*6\/(-4). Let c = -106 + s. Let x = 44 + c. Determine h(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38837006101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1916 - 1913. Solve -6*p + 3*p + h = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/5 + -1 + 5. Let q(x) be the second derivative of x**3\/3 - 3*x**2\/2 - x. Let k be q(f). Is k bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/3, -210929?\nAnswer: -210929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p + 5, 4*l - 27 = 3*p. Suppose 3*y + 30633 = 4*x + 4529, -x = l*y + 26099. What is y rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/12 and 9 + -7 - 412\/(-40).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -7*f**4\/24 - 137*f**3\/6 + 35*f**2 + 9*f. What is x(-19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, 5, -2\/3 in descending order.\nAnswer: 5, 2, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2882 + 6593. Suppose 8*r = 281 + w. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60508860 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124.38 - 124.35. Let i = -13 - -18. Sort i, -0.3, o in decreasing order.\nAnswer: i, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a decade in months?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, q: 3, d: 3, a: 1, k: 2, g: 1}. Give prob of sequence kdg.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2840 + -2833. Let v = -7.89 + -0.11. Let g = 7.7 + v. Which is the second biggest value? (a) i (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gysylcc. Give prob of picking 1 g and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1964723, 3929487, 5894251, 7859015, 9823779?\nAnswer: 11788543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 17, o: 3}. What is prob of picking 3 q and 1 o?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20595 - -172?\nAnswer: 20757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 4. Let n(q) be the first derivative of -q**3\/3 - 7*q**2\/2 - 4. Let a be n(-6). Let b be s(a). Solve -b*g + f = 5, -5*f = -f - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -181.1 + 99. Let j = -97 + 9. Let p = h - j. Round p to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2, -2\/19, -1\/8?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -10)*51\/(-153). Solve s*x = -15*x + 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2510004348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**2 - d + 1. Let y(m) = -m**3 - 7*m**2 - 6*m - 7. Let c be y(-6). Let a = 13 + -19. Let t = a - c. Determine w(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + 1 - (-19 + 20 - (-64 + 10)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 36*n - 37. Let k(t) = -25*t + 1010. Let d be k(39). Calculate u(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*k**5 + 17*g*k**3 - g*k**2 - 41*g*k + k**5 wrt k.\nAnswer: -120*g*k**2 + 102*g + 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33060, 33485, 34200, 35211, 36524, 38145, 40080?\n\"Answer: b**3 + 139*b**2 + b + 32919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**5 + 94*u**4 + 2293*u**3 + 19896*u**2 + 44676*u - 66960 = 0.\nAnswer: -62, -15, -12, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12259440227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + 23471?\nAnswer: 23494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 4*a + 55. Let y = a + 6. Solve 0 = 5*q + y + 8, 3*n + 5*q = -16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*v + 8352 = -663*v for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -79*m**3 + 2*m**2 + 9*m + 7. Let k be h(-3). Suppose -6*o + k + 1115 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8664 + 0.04.\nAnswer: -8663.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + -11 + 158\/8 and -51\/281.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 - 0 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 2. Let s(p) = -6*p + 25. Let l(v) = -4*n(v) - s(v). Let f be l(5). Is f at most as big as -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -28. Suppose f + 4*q = 55, -f = -s*q - 47 + 1. Suppose -d + f = 5*i - 44, -3*i = -4*d - 80. Solve -4*y = -2*c - 2*c + i, 3*c = 2*y + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 1. Let o be k(-1). Let z be -3*(o + (21 - 0)). Let f = -55 - z. Let x(b) = -4*b + 3. What is x(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from {x: 2, r: 2, e: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.066 + 3.934. Let j = u + -3.9. Are j and 2\/139 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.685183 to 2 dps.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1698\/20)\/((-84)\/(-490)). Let h = 480 - o. What is the common denominator of 0 + ((-62)\/32 - 2) and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3287 times 0.4?\nAnswer: 1314.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 6, 16, 1, -5 in increasing order.\nAnswer: -5, -3, 1, 5, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-222)\/370)\/(2\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-39)\/((-1053)\/414) + (-14)\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -558.4 - -558. What is the smallest value in -2\/7, p, 113?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*i + 6 = 0, -2*i - 11 = j + 3*i. Let h be (127 + -7)\/(j + 2). Calculate the greatest common factor of 48 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.001 - -0.501. Which is the closest to -0.4? (a) z (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3345532995 and 10.\nAnswer: 3345533005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -29. Let a be (4 - f)\/(6\/21). What is the greatest common factor of a and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*x**2 + 162*x + 8748.\nAnswer: 3*(x + 108)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 + 58*v**2 + 156*v + 4. Let r be m(-26). Let w(z) = 46*z - 12. Let j be w(8). Calculate the greatest common factor of r and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131492767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.83437? (a) 1\/4 (b) 6 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - p - 24 = 0, -5*p = w + 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 3825?\nAnswer: 26775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (1*sqrt(245)*-1 + sqrt(245) + sqrt(245) + sqrt(245)) - sqrt(245))**2 + -3.\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -79? (a) -14 (b) 2\/83 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19293*h + 38622*h - 19274*h.\nAnswer: 55*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + c - 2. Let q(n) = n**3 - 2*n**2 + 2. Let b be q(2). Let m be g(b). Does 10 divide -10*(2 + 18\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3.7, -4\/7, -4, -18?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-168)\/66 + 2 + (-183)\/(-33). Let z(u) = 41*u - 5. Let w(a) = 49*a - 6. Let c(j) = h*w(j) - 6*z(j). Let s(d) = 2*d + 9. What is s(c(l))?\nAnswer: -2*l + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 8 - 14 - (1 - 8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 24*n - 21320 = 0. Calculate the smallest common multiple of ((-9)\/(-5))\/((-78)\/n) and 3.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4518776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(76) - sqrt(19)*-3*2) + ((sqrt(190)\/sqrt(490) + -5)*3)**2.\nAnswer: -34*sqrt(19)\/7 + 11000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 13 = 25 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 15441?\nAnswer: -15434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3917640740 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 - 12 = -3*k, -5*g + 32 = 3*k. Suppose k*o + 36 = 292. Calculate the highest common divisor of o and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-7 + 1 - (14 + -20 + 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/28)\/(1\/((-14)\/4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-8))\/3 + 872\/32. Let h(z) = 5*z**2 - z**3 - 10*z**2 + 0*z**3 + p + 2*z - 9*z**2. Let c be h(-14). Sort c, 10, -2 in descending order.\nAnswer: 10, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, 6, 38, 68, 96, 122, 146?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 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: Simplify ((d**(-10)\/d*d**(-10))\/(d\/d**(-3\/5)*d*d*(d\/(d*d*d**8))\/d))**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 140726?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51202992*m**2 + 192579454?\nAnswer: -102405984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*a + 1, a = -2*b + 3467. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 387422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.3907576 - 26297.74.\nAnswer: -26288.3492424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4*z + 12, 0 = -w - 8*z + 3*z + 1. Let r(a) = -3*a + 13. What are the prime factors of r(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 + -164610?\nAnswer: -164588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 9456*f - 1 - 9456*f - f**4 + 7*f**2 to c*f**4 + a*f**2 + s*f**3 + t + x*f and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11648*q**3 - 37712*q**3 + 2823*q**3 - 86212*q**3.\nAnswer: -132749*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-8 - 3) - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbu when three letters picked without replacement from {f: 1, v: 2, g: 2, r: 2, u: 1, b: 5}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.567 + -4.667. What is the closest to -8 in 0.2, 14, 1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60, -60, -62, -66, -72?\n\"Answer: -j**2 + 3*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -478 + 1710. Let p = f - 996. What is the lowest common multiple of p and 1 + 1 - -20*1?\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/95)\/((-32)\/(-30)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from cwwwaaaawaacaaw?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + (10 - (6 + 4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 198\/1385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-30)\/(-588))\/(17\/(-68)))\/(5\/(-175)*-5).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*y + 13. Suppose y*x + 16 = 0, 0*d - 3*d + 132 = -3*x. Calculate the greatest common factor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(99) + sqrt(99)*-3 + sqrt(99))\/sqrt(9) + sqrt(11) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, k: 2}. Give prob of sequence wwkk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*j + 24 = -139*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r + 9. Suppose 23*m + 82 - 13 = 0. Determine t(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6720965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.054247775 to 3 dps.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 64 = 20*h. What is the tens digit of (-1170)\/36*h\/((-2)\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6559500761 to the power of 1\/2, to the nearest integer?\nAnswer: 80991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1441\/3474 + -5\/193. What is the common denominator of t and 2\/(-3)*137\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j**3 + j**2 - 3*j + 9. Let a be v(-4). Let g = 7 - 10. Let r be a*g\/(-5)*2. What is r rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**4\/12 + k**3\/6 - 3*k - 4. Let v(c) be the first derivative of d(c). Calculate v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1358)\/20370)\/(2\/72)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2969879.400029 - 2969877. Let o = n - 2.4. Round o to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 - 511?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(2*(-1)\/4). Suppose -i*b - b + 9 = 0. Let v = 24 - b. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.131 + 0.0064689?\nAnswer: 0.1374689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 9*p**2 + 6*p + 16. Let n be r(8). Suppose -2*u = -n*u - 122. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, h: 1, b: 3, f: 4, j: 8}. Give prob of picking 1 j, 1 o, and 2 b.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205 divided by 6.\nAnswer: 205\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 5:24 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydzzyzyddzzzyz. Give prob of picking 3 y.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8608 - -2491. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3251256 (base 9) to base 2\nAnswer: 110101010010011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-14\/9)*i**(-8))\/(i\/(i\/(i**(-4\/13)\/i)*i)*(((((((((i**(1\/6)\/i)\/i)\/i)\/i)\/i)\/i)\/i)\/i)\/i)\/i*i))**(-2\/29) assuming i is positive.\nAnswer: i**(-605\/3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -35.5. Let i = g - 23.5. Is 0.1 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -48. Let c(t) = 4*t**2 - 33*t - 137. What is the remainder when c(-4) is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -36. Let c be 24\/(-456) + 538\/114. Factor -s*r**2 - 8*r + 8\/3 + c*r**3.\nAnswer: 2*(r - 2)*(r + 1)*(7*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 211 - 146. Let h be (-68)\/(-1)*i\/52. Let m be (-17)\/(-68) + (-542)\/(-8). Calculate the highest common divisor of m and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-6\/5)\/q**15)**(-4))**(1\/3))**28 assuming q is positive.\nAnswer: q**(3024\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2771*x = 2765*x - 56, 0 = 3*w + 4*x + 43 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + k)*(-8*k**2 - 4*k**4 + 8*k**2) + (2*k + k - k)*(-3 - 2 + 0)*(3*k**4 - k**4 - k**4).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = c - 1013. Suppose t - 12*t + c = 0. What is the greatest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3142 (base 5) in base 16?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5755716 and 3172.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**3*y**3 + v**3*y**2 + 2*v**3*y + 4*v*y**3 + 178*y wrt y?\nAnswer: -12*v**3*y + 2*v**3 + 24*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 49*c**6\/6 + 749*c**5\/15 + 227*c**4\/3 - 128*c**3\/9 - 112*c**2\/3 + 16*c + 8. What is l in n(l) = 0?\nAnswer: -3, -2, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 9:48 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-448)\/(-84) - (-140)\/(-36))*3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) -28896 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 26*g + 2. Let d be y(-13). Suppose -218 = -2*o - d*o + 2*t, -o + 55 = -t. Is 38 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 4, 2\/3, 0, -5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 32. Which is the second biggest value? (a) 5 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t + 9. What is the units digit of g(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 559 + -47576\/85. Find the common denominator of -17\/80 and n.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 82851 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.225 - -19.875. Let q = -19.1 + l. Let j = -0.4 + -1.6. Which is the nearest to 1? (a) j (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-6291.3\nAnswer: 25165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 58. What is v(-53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13854154 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 44781, 0.4, -2?\nAnswer: 44781","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -143722496 divided by 280708?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r - 12. Calculate the remainder when t(7) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200243 is divided by 626.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 4 - z**2 + z - z**2. Let f(y) = -y**2 - 1. Let h(s) = -b(s) + 4*f(s). Let d(t) = t**2 + t + 1. Let v = 203 + -202. What is v*d(l) - h(l)?\nAnswer: 2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 183?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1098 - -5492\/5. Suppose -5*d + 3*j = -6, 9 + 15 = 4*d + 4*j. Factor x*s**d + 0 - 1\/5*s**2 - 2\/5*s + 1\/5*s**4.\nAnswer: s*(s - 1)*(s + 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 plus 1049414459731?\nAnswer: 1049414459730.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.6 + 9.2. What is r rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 381 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 221, 508, 919, 1460, 2137?\nAnswer: 2956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5, 10, 6\/215?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m - 71. Let b be o(-9). Let d = 641 + b. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.03489.\nAnswer: -0.10467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52061*j + 51995*j = 0. Let i be (-4 + 0)*3\/(-6). Put i, j, -117 in decreasing order.\nAnswer: i, j, -117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 182. Let x be a(-40). Suppose 0 = -n + x - 122. What is the remainder when 87 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0783844ns in seconds?\nAnswer: 0.0000000000783844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1079567*x**2 + 1081434*x**2 - 2161005*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82\/7 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 1192?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/4 - (-1 - 9). Suppose k - t = 6. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -382\/7 or -27128\/23?\nAnswer: -382\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x - 65. Let o be r(-12). Suppose -b - u + o = 0, -6*b + 4*b + u + 53 = 0. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 556*c**5 - c**2 - 166?\nAnswer: 33360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26248 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 2, b: 1, j: 2, a: 1}. What is prob of picking 1 b and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v - 3*f - 26, -5*v - 47 = 3*f. Let h be ((-6)\/v)\/(26\/(-16744)). What is h rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -299181 and -0.1.\nAnswer: 29918.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52 - 42 + 10*c - 7*c + 185*c**3 wrt c?\nAnswer: 1110*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1429537, -2859085, -4288635, -5718187, -7147741, -8577297, -10006855?\n\"Answer: -c**2 - 1429545*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*sqrt(13) + -4.\nAnswer: -4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2. Let g(b) = 30182*b**2 - 2 - 15109*b**2 - 15195*b**2. Give g(q(o)).\nAnswer: -1098*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 681.\nAnswer: 2\/681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -14 + -16 + 39.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23213 (base 5) to base 9\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 211741491 a multiple of 703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -17*y**2 - 3*y - 3. Let t be a(-2). Let z be 3*(-28)\/(-6) - (15 + -19)\/(-4). Is 2641\/z + ((-55)\/t - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-10) - (-12)\/30. What is a in -2*a**2 + 5*a**4 - a**4 + 4*a**3 + 2*a**w = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90787 and 635509.\nAnswer: 635509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 - 4*p + 2. Let r be 6\/3 + (1 - 3). Suppose r = 11*a - 6*a - 10. Let f be x(a). Let v(g) = 11*g - 2. What is v(f)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 32*i. Let j(l) be the first derivative of l**2\/2 + 10. Calculate m(j(a)).\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3584 - -1?\nAnswer: 3585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/11 - 12152*j**2\/11 + 1194998*j\/11 + 1207152\/11 = 0. What is j?\nAnswer: -1, 101, 5976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2\/5 (c) 4 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f - 20*f - 9*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p**2 + 25*p**2 + 33*p**2)*(2*p + 0 + 0).\nAnswer: 136*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -18*c**3 - 6*c**2 + 3*c - 3. Let g(p) = p**3 - p**2 + p - 1. Determine 3*g(i) - u(i).\nAnswer: 21*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 93 - (-66 + 38 - (-16 - -1)) - 10\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 = 0, -1578 + 347 = -3*f + 2*a. Let n be (2 - 11\/6) + f\/6. Calculate the greatest common divisor of 276 and n.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*x**3 - 57*x**3 + 5168*x + 110*x**3 - 2527*x - 2641*x.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 51, 57, 53, 33, -9, -79, -183?\n\"Answer: -n**3 + n**2 + 10*n + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 883*u**6\/30 + u**5\/30 - 232*u**4\/3 + 5*u**2 - 2*u - 7. What is the third derivative of z(l) wrt l?\nAnswer: 21192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 7*d**2 - 8*d - 15. Let l be w(-4). What is the third derivative of -169*k**4 + 25*k**4 + l*k**2 + 21*k**4 - 26*k**4 - 71*k**4 wrt k?\nAnswer: -5280*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/26 - ((-402)\/(-39))\/(-2). Suppose 2*b = 3*v + v + 354, -v - z*b - 72 = 0. Let c = 102 - v. Does 43 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (14\/56)\/((-640)\/630 - (1 - 2)) and 61\/1484.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*o - 31 = 0, o + 3*o = 20. Find the third derivative of -31*p**3 + 32*p**2 - h*p**3 - 24*p**3 - 48*p**2 wrt p.\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100211021 (base 3) in base 8?\nAnswer: 547765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a - 103597 - 407308 = 276018. Is a equal to -41417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 0*z + 4*z + 41, 7 = 3*p + 2*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 2. Let j be l(0). Let i be 4*(-3)\/9*-9. Solve -w - j*w = -i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 754 + 4*f - 747 - 5*f - 4*f**3 + 3*f**3 to z*f + m + t*f**2 + o*f**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**3 + 15*g**2 + 10*g = 0. Calculate g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -54. Suppose -s + 3*c + 14 = 0, m*s - 2 = 5*c - 4*c. What is the units digit of s - (-2)\/2 - (-12 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223908551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010217 rounded to 6 decimal places?\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 62. Suppose -f + u = l - 4*f, 3*f = 5*l - 27. Solve n + 5*y + 20 = -l, 2 = 3*n - y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 5447315.\nAnswer: 59920465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebkr when four letters picked without replacement from {r: 3, s: 2, e: 9, b: 1, k: 2}.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**4 + h**4 - 2*h**4 + (-h + h + h**3)*(-2*h + 4*h - 3*h) to the form w + b*h**2 + m*h + j*h**3 + y*h**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 - 12*o - 1. What are the prime factors of y(4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -1\/10 (c) -2\/17 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 4*w - 13*z = -77, 2*w - 4*z = 28 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 754397 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*i = 9 + 7, u = -i - 2. Let f = 49 + u. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12370 and 39898198.\nAnswer: 2474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2342640 and 774?\nAnswer: 7027920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.527702 litres to millilitres.\nAnswer: 2527.702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5639 + 92?\nAnswer: -5547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 207524850*h**4 + 7806*h**2 + 1045*h + 1.\nAnswer: 4980596400*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(405) + 0)*4)**2 - (sqrt(30)\/sqrt(96) - ((-1*sqrt(10))\/sqrt(2) - sqrt(5)))).\nAnswer: -12960 + 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(-21*(-8)\/(-72) - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 17.50217nm?\nAnswer: 0.00000000001750217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/875 and -11\/21.\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -321908 and -0.2.\nAnswer: -321908.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1179 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z + 11. Give a(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 103*g**3 - g**2. Let s be h(1). Suppose -s - 42 = -3*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6228*p + p**2 + 2 - 2130*p + 2708*p.\nAnswer: p**2 + 6806*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**3 - 7*q**2 + 864*q + 3488. Give y(-4).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 5.2. Let q = -3.8 - u. Let n = q + 3.04. What is n rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211113 (base 4) in base 14?\nAnswer: c2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-3\/4)*u*u*((u*u\/(u\/u**2))\/u)\/u*u**(-2\/25)*u assuming u is positive.\nAnswer: u**(467\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.386 - 0.496. Let o = x - -0.11. Let k = -37\/6 - -15\/2. Which is the nearest to -2\/3? (a) o (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27828 - 27828. Put p, -9, -2, 5\/4, -0.32 in decreasing order.\nAnswer: 5\/4, p, -0.32, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.4 - -14.99. Let m = 3.89 - x. Let i = 3.2 - m. Which is the third smallest value? (a) -3 (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 35 + 1. Let q(m) = -m**2 + 7*m - 12. Let y be q(d). Let b = 48 + y. Calculate the lowest common multiple of b and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 1210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-640)\/(-60))\/((105\/(-63))\/(-5))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*k = -4*d + 60*k + 633, 5*d = -2*k + 783. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -2*sqrt(77))*-2)\/(sqrt(7)*-1*-3).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p**3 + 7*p**2 + 7*p - 6. Let r(u) be the first derivative of -11*u**4\/4 - 2*u**3 - 3*u**2 + 5*u + 6. Calculate -6*f(j) - 7*r(j).\nAnswer: 5*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 2:48 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 2*f + 3*f. Let h be 36\/f*5\/2. Suppose -b = 5*n + 20, -4 = -b + 4*n - h*n. Is b greater than or equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - 4*t**4 - 5 + 8 - 4 as f*t**3 + q + w*t**4 + d*t**2 + y*t and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3283 or -37831?\nAnswer: 3283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*j + 69 = 0, -2*a + 5*j + 18 + 40 = 0. Let p = 0 + 2. Calculate the remainder when a - -2*3\/p is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 17*m - 3. Suppose 4*q + 155 - 27 = 0. Let x be 1 + 0 + q\/2. Does 3 divide v(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -3*i**4\/8 - 2*i**3\/3 - 16*i**2. Let b(t) = 5*t + 2. Let x = -12 + 18. Let r(j) = x*d(j) + 11*b(j). Determine r(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 5*b = -50. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**3 + 35500*q**2 - 354700*q + 886500 = 0 for q.\nAnswer: 5, 8865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/90948 and -131\/174.\nAnswer: 2637492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2. Let k(j) be the first derivative of 5\/3*j**3 - 7 + 0*j + 0*j**2. What is g(k(f))?\nAnswer: -50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 3 - 138. Is 0 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**2. Let m(d) = 3*d**2 - 3*d - 2289. Determine m(r(a)).\nAnswer: 75*a**4 - 15*a**2 - 2289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + n**3 - 3*n**5 + (0*n**4 + 2*n**4 - 4*n**4)*(-n + 5 - 5).\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 123401 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5173435m?\nAnswer: 51.73435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*((-1*sqrt(637) - sqrt(637)) + 2) + (4*(-1 + sqrt(13)) - sqrt(13)) + (-3 + sqrt(91)\/sqrt(7))**2) + -1.\nAnswer: 95 + 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3298285602?\nAnswer: 2, 3, 769, 79427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2 (c) -426 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**8\/20160 - p**7\/1260 - p**6\/144 + p**5\/5 + 12*p**2. Let n(x) be the third derivative of g(x). Suppose n(r) = 0. What is r?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 293 + -293. What are the prime factors of (u + 1)*(-3)\/((-9)\/786)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 42*n**2 - 43*n + 18. Let x be j(-22). Put 3, x, 5, 2 in decreasing order.\nAnswer: 5, 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -6 (c) 5842 (d) -8.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/12 and 65\/2918.\nAnswer: 17508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186068371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15348, -14517, -12258, -7857, -600, 10227?\n\"Answer: 119*f**3 - 2*f - 15465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -554, -2062, -4606, -8216, -12922?\n\"Answer: -5*g**3 - 488*g**2 - 9*g - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5947 - 42074 = -7*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 250?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 139*s + 2. Let u(r) = -48*r - 1. Let i(d) = 3*t(d) + 8*u(d). Let b(k) = 67*k - 5. What is -2*b(v) + 5*i(v)?\nAnswer: 31*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/3)\/(1\/3). Suppose 0 = o + c + 4, 2*c - 6*c - 37 = -3*o. Sort 2, 0, d, o in decreasing order.\nAnswer: o, 2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14310566 + 1379*y - 14310566.\nAnswer: 1379*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 12:19 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120153033 (base 6) to base 16.\nAnswer: -22664d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/15*(19\/133)\/(4\/(-14))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 425*h + 396*h)*(5 - 8 + 0) + (-1 + 6 - 2)*(2 - 2 - 2*h) to the form s + m*h and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1457*t**3 - 3*t + 181317?\nAnswer: 4371*t**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2663924 and 38?\nAnswer: 50614556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npnnknpnmnppmn. Give prob of sequence kmn.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2 = -13. Suppose -12 = s*n - 4*n + 4*t, 37 = 4*n - t. Suppose c - n = -3*c. Let b(v) = -v - 2. Give b(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-346 + 346 + 33*p)*(38 + 90 + 16) - p - 3*p + 2*p to the form w + z*p and give z.\nAnswer: 4750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78279989 is divided by 1053.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2948960 and 2590?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 36. Let n(q) = -q**3 - 5*q**2 - 4*q + 1. Let s be n(-4). Suppose -4*b + 5*i - 2 = -20, -4*i - 14 = -3*b. Solve -b*f = l + s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 1911*k - 1910*k + 19, 0 = -2*h + 13*k + 31 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/86 less than -0.814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-42) - (-15 - 2052\/(-133)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -344*a. Let k(y) = 6*y**2. Calculate k(s(p)).\nAnswer: 710016*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(10)*1) + 4 - (1*sqrt(1088) + 5))**2 + -3.\nAnswer: 14*sqrt(17) + 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -63, -45, 33, 195, 465, 867?\nAnswer: 1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5\/3 - 4*h**4\/3 - 44*h**3\/3 - 28*h**2\/3 + 40*h\/3 + 32\/3 = 0. Calculate h.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2 + 10*s**2 - 9*s - 6 - 8 + 0 + 2 + s**3. Let d be r(-10). What is the greatest common divisor of d and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24498084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:23 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1083\nAnswer: 4\/1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 192\/60 - (78\/15 - 5). Solve -2*v - q = -v + 7, 4*v + u*q = -24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(336) + 5*sqrt(336)*2)\/(sqrt(768) - ((sqrt(768) - (sqrt(768)*-2 + sqrt(768))) + sqrt(768))) + 3)**2.\nAnswer: -33*sqrt(7)\/2 + 3151\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*s = -5*y + 25, -s + 2 = -2*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -231*a**4\/4 - a**3\/3 + 91*a + 115. Find the third derivative of z(j) wrt j.\nAnswer: -1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 26*a. Let z(x) = 2*x**2 - 4*x. Calculate m(z(k)).\nAnswer: 52*k**2 - 104*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 33*z**2 - 13*z + 39. Determine k(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76985?\nAnswer: 5, 89, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k + 4*u = 71, -3*k - 3 = -0*u + 3*u. Solve q + 4*r - 8 = 0, 9*q + 2 = k*q + r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249294877 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**2*p**4 + 26*o**2*p**2 + 4*o**2*p + 2*o*p**3 - 2*p**5 wrt p.\nAnswer: -96*o**2*p + 12*o - 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - 4) + -7)*4\/(-8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let u = -3 - -39. Let f be u\/(-10)*10\/(-4). Let y(g) = -f*g + 8*g + 2*g. Determine i(y(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1142, -2276, -3402, -4514, -5606, -6672, -7706, -8702?\nAnswer: -9654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1363a (base 13) in base 11?\nAnswer: -25233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2269132 divided by -1134566?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144714 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -145530.7 rounded to the nearest 100?\nAnswer: -145500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9036 by 36.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2. Let b(g) = -283099*g**2. Give b(d(k)).\nAnswer: -283099*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 9*h + 61. Let j(i) = -i**2 - 5*i - 31. Let m(g) = 11*j(g) + 6*l(g). Let a be m(0). Solve -d = s + 5, s + a = d - 4*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 3783*w**3 - 150579*w**2 + 1970709*w - 8568300.\nAnswer: 3*(w - 13)**3*(w + 1300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34220 and 8499320?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (-18)\/4)\/(410\/(-5740))?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 19. Let d be (1\/2)\/((-2)\/72). Let y be u(d). Is 2 a factor of ((-42)\/(-3) - 3)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = 3. Let v = -16 - -14. Let r be (0 - (v + 3))*-3. What is the closest to o in r, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*l - 8, -73 = -3*l - 4*p - 79 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 5969?\nAnswer: 5969.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 287104860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 114. Calculate the highest common factor of 24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156*v**2 + 83*v**2 + 76*v**2 + 15*v - 6*v + 2 - v**4 to j*v**4 + n*v + g + p*v**3 + b*v**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + 1*1*sqrt(7) + sqrt(7) - (-2 + sqrt(7) + sqrt(7) + 3 + 1))**2*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3552*q + 1481*q**2 + 345291*q + q**3 + 565*q**2 + 6*q**3 - 4*q**3 = 0.\nAnswer: -341, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/6)\/((-13)\/(-39)). Suppose 2*z = n*z. Factor -2\/7*c**2 + 2\/7*c**5 + 6\/7*c**3 - 6\/7*c**4 + z + 0*c.\nAnswer: 2*c**2*(c - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.0286, 0, 0.9, -0.3, 1\/10, -4\/9?\nAnswer: -0.0286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 32*f + 3469. Give x(77).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144151.6846 + -144139. Let v = h - 12.7. What is v rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqqh when four letters picked without replacement from {i: 1, u: 1, h: 2, q: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1828.349 <= -0.48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 6*s**4 - s**4 + 2*s**4 + s + 3*s**4 - 27 - 15 to t*s**3 + b + n*s + r*s**2 + k*s**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1390*w + w**2 - 2 - 47 - 1202*w + 120 + 116 = 0. What is w?\nAnswer: -187, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 1. Suppose a*b = b + 14. Solve -k + x = -b, -2*x - 10 = 5*k + 2*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 31. Give c(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00104762 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l + 65 = v, 5*l + 210 = 4*v. Let c = v + 43. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 5. Let a(r) = 2*r**2 + 4*r - 57. Let m(p) = a(p) + h(p). What is the units digit of m(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/10 and 101\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/49)\/(9\/189)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137655 is divided by 411.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1274 (b) -1 (c) -2 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2 - 1 + z + 3*z**2 + z**3 - 5*z**2. Let n be t(3). Solve -4*f - 3 = n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.4 (b) 0.2 (c) -0.5 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**2*x**3 + 2*j**2 + 30*j*x**4 + 16*j*x - 2 wrt x.\nAnswer: 24*j**2*x + 360*j*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**5\/4 + 5*i**4\/16 - 5*i**3\/12 - 5*i**2\/8 + 14. Factor q(w).\nAnswer: 5*w*(w - 1)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-5)\/(-10)*6\/(-3). Suppose -x + 25 = 2*d, 4*x - u*d - 214 + 49 = 0. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(1 - 24\/21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 178*z + 463 + 281. Put 5, -34, z in descending order.\nAnswer: 5, z, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*s + 72*s + 24595. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 + 69.8. Let a = 1.79999965 - w. Round a to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 14. Suppose -5*c = -0*c + 10, 0 = 2*w - 3*c - 14. Suppose -w*x + 7 = 6*s - s, 4*x + 8 = 0. Put s, p, -5 in descending order.\nAnswer: s, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -221*d - 5192. Let z be s(-15). Is z greater than or equal to -1880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 2178.662\nAnswer: -4357.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (10 + 8)) + (0 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-84)*(-1 + (6 - (-91)\/(-14)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asa when three letters picked without replacement from {a: 4, b: 3, s: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 9*n**2 + 4*n + 11. Let s be ((-72)\/20)\/((-8)\/20). Does 15 divide f(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39361654?\nAnswer: 2, 19, 47, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*q**2 - 31*q**2 + 27*q**4 + (7 - 4*q - 7)*(8 - 8 + 4*q**3).\nAnswer: 11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -11, 90, -3, -1 in ascending order.\nAnswer: -11, -4, -3, -1, 1, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 46. Let z(a) = -a**3 + 13*a**2 - 8*a + 9. What is the remainder when z(12) is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (308\/176 + (-120)\/80)\/((1*-1)\/(-124))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/5)\/((-33)\/(-110)). Let p be (-119)\/(-9) + f\/36. Solve -o + 9 = -s + 1, 4*o + p = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 27\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, u: 3}. What is prob of sequence uh?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00219883309 rounded to 7 decimal places?\nAnswer: 0.0021988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132.72 + 562.73. Round x to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 11488c70?\nAnswer: 11488c6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11*u. Let c(n) = 196*n - 22. Let b(y) = -27*y + 3. Let o(x) = -44*b(x) - 6*c(x). Give 4*o(g) - 5*z(g).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p + 38*p - 46 = 0. Let j(y) = 16*y**2 - 29*y - 10. Let a be j(p). Suppose -a = -n + 6879. What is n rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 4 (c) -6 (d) -119\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2269 + -18155\/8. Let w = -97 - -96.9. Put w, 0, 2\/7, k in increasing order.\nAnswer: k, w, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = 5*o, -5*o + 4 = 3*n - 4. What is the remainder when 24 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:08 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*w - 3*i + 7, -3*w = -2*i - 65. Calculate the remainder when 92 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 3. What is p(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -91606, 13.7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 29 + 13 = 0. Suppose 9*x = l*x + 16. Calculate the smallest common multiple of 5 and (-60)\/x*(4\/12 - 3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5522, 11048, 16588, 22148, 27734?\nAnswer: 33352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {b: 2, p: 7, x: 7}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a day in hours?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 + 2*f**5 + f**5 + (2 - 2 + 2*f)*(0*f**4 + f**4 + f**4) + 0*f + 0*f + 3*f**5 + 2*f**5 + 4*f**3 - 4*f**3 - 3*f**2 + 6*f**2 + 7*f**5 - 10*f**5.\nAnswer: 8*f**5 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 25 - 41 = 0. Solve 4*w + a = -4*a - 35, -4*a = 2*w + z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = -13 - 53 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 105.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*j = 6, 4*m - 6*j + 4 = -10*j. Which is the closest to 0.1? (a) -4 (b) 1 (c) 0 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*a - 339 = 0, 0*k - 2*a = k - 192. Let o be k\/49 + 2\/7. Suppose -p = -2*x + 15, o*p - 5*x + 51 = 6. Which is greater: -7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -59 and -363677.\nAnswer: -363736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72661464?\nAnswer: 2, 3, 467, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2756252576.\nAnswer: 2, 7, 11, 131, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 + 26*u**2 + 2*u - 110. Let b be k(-8). Solve 2*t + 5*y = 11, 0*y + b*y + 10 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/7, 26, 5 in decreasing order.\nAnswer: 26, 5, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/12*(-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 4*t + 3039 - 3023, -11*t + 64 = 4*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5327318*i**3 + 2775590*i**2?\nAnswer: -31963908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighteenths of a day in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-44) - 358\/(-4). Differentiate p + 201*l**2 - 188 + 13 - 159 wrt l.\nAnswer: 402*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5 - 2\/5*b**2 + 0*b.\nAnswer: -2*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222203 (base 5) to base 12.\nAnswer: 4623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*k - y - 24, -y = -2. Suppose -k*r = -1 + 5, -2*r - 12 = -5*c. Solve 5*u + 3*s = 13, 16 = -2*s - c*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661321638 a multiple of 3783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 350*n - 348*n - 32 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1529 - -2?\nAnswer: 7.1529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 22*x + 1 + 26*x as l + g*x and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - j - 184 = 19*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-7)*4\/(-36))\/(8\/(-48)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2 + 28*j - 44. What is i(7)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5202*r - 1120*r + 257*r + 4127*r.\nAnswer: 8466*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -193, 3, 12 in descending order.\nAnswer: 12, 3, 2, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1073504 and -4.\nAnswer: -4294016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**3\/5 - 32321*l**2\/5 + 4424021*l\/5 + 295653 = 0.\nAnswer: -1\/3, 139, 10635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 6*h**2 + 7*h - 12. Let x be p(5). Let m be x*(-1)\/(-5)*(-750)\/360. What is the third smallest value in m, 1, -0.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 1 + 3 + -8 + 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/(-108))\/(5\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29263\/5 + 5853. What is the nearest to n in -0.3, 4\/3, 0.5, 2\/23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrr when three letters picked without replacement from {y: 1, r: 2, j: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, s: 2}. What is prob of picking 1 s and 3 t?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/9, 36, 40, 3\/2.\nAnswer: -2\/9, 1, 3\/2, 36, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 417049 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 10*t + 1\/24*t**4 - 1\/10*t**5 + t**3 - 1\/120*t**6 - 2*t**2 + 0. Calculate p(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10808, 10815, 10834, 10871, 10932, 11023?\nAnswer: 11150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3323411 (base 5) to base 13\nAnswer: -20511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*w + 24, 2*l - 26 = -3*l + 3*w. Let i(o) = 4*o - 7. Let x be i(l). Factor 2*n**2 + 16 + 25*n + 8*n + 7*n**2 - x*n.\nAnswer: (3*n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -253\/106 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = t - 13, 203*t + 4*w + 33 = 208*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, e: 3, v: 8, f: 1, k: 5, q: 2}. What is prob of sequence keeq?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-17)\/(34\/(-1036))*(-2)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -320 - 1007*g - 1015*g + 2028*g in the form k*g + s and give s.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -2\/17, 20, 5, -4, -38?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 - 8*f + 8. Determine a(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*p - 76 = -61, q - 5 = -4*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30920639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(7*p**2 + 5*p**2 - 14*p**2).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/3))**34\/(q**5*(q*q*q\/q**(-4))\/q))\/(q**4*q**(-5))**20 assuming q is positive.\nAnswer: q**(95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 375.\nAnswer: 1\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*g = -580, -82 + 87 = g. What is the remainder when x is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i + 4*n + 287, 4*i - 217 = -n. Find the common denominator of 58\/i - (-6)\/15 and 29\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4541, -4913, -5283, -5651?\nAnswer: -6017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/663 and -82\/4407.\nAnswer: 74919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 50.039. Let f = s + -0.13. Let a = f + -0.113. What is a rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-42) - (-1)\/(-7). Solve s - 3*s + 8 = u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2399 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 152155800 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 0.8, 1\/5, 68?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5286 minus -1.2794028?\nAnswer: 1.8080028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - 3*f**3 + 11*f - f**4 - 3 + 0*f**2 + 3 as l*f**4 + j + d*f**3 + b*f**2 + h*f and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.100977 rounded to three decimal places?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106 + 108. Suppose z*y + 2 = 4*x + 6, 8 = -4*x + 3*y. Is (-63664)\/(-69) + 5\/(-3) + x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00193964055 to five dps.\nAnswer: -0.00194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 4*u - 5, -3*l + 3553 = 5*u + 3569 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14904?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13*q + 1194. Let k(m) = -18*m - 1192. What is -5*a(w) - 4*k(w)?\nAnswer: 7*w - 1202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.04 + 5. Let m = 0.1 + 0.9. Put g, -5, m in decreasing order.\nAnswer: m, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 7:51 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j + 289112 - 289025 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -345000 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 5*p + 1. Let b = 30 + p. Calculate the greatest common factor of 144 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 3:12 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/35, -6, 1\/5, -11\/2, -2\/5, -70, -2\/9?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -37.4157 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 3. Let u be a(1). Let f(c) = 5*c + 5. Let d be f(u). Solve -3*b + 0*b + d = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**4 + 21*u**3 - 16*u**3 - 4*u**4 + 36*u**3 - 1 + 2 as a*u**2 + l*u**3 + h*u + s + d*u**4 and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 170.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(sqrt(76)*1)**2*3 - ((1 + sqrt(76))*-3 - sqrt(76) - (2 + sqrt(76) + -1))**2)*6.\nAnswer: -14231 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**3 + 4*p**2 - 2. Let t(b) = -b**3 + b**2 - 1. Give s(l) - 6*t(l).\nAnswer: l**3 - 2*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 8. Let o be 32\/(-6) - 16\/24. Let g be x(o). Solve 3*f - 9 = g*c - 0*f, c - f = -3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 253*q - 8081. Give k(32).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*y - 7*y + n, 0 = 4*y - 4*n - 8. Suppose -330 = y*h - 16*h. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*a + 4 = 2*f, 4*f = 2*a + 8. Let y(l) = l**2 + 5*l + 4. Let d be y(-3). What is the nearest to d in f, -1, 3, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 15. What is the common denominator of (-1118)\/91*(-1)\/t and 31\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5*24\/420)\/((-32)\/(-28)))\/((-749)\/(-28)).\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n + 18. Let u be m(-3). Let k be u*18\/(-12)*8\/198. Find f, given that k - 2\/11*f**2 + 0*f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2. Let u(j) = 9*j**2 + 5*j - 1. Let z(v) = -s(v) - u(v). Find the second derivative of z(t) wrt t.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-7\/4)\/d)\/d)\/d*d**(-31))\/(((d*d\/(d*d\/(d*d**(-3\/13))*d))\/d)\/(d*d\/(d\/(d\/(d\/((d*d**(-19\/4))\/d*d)))))) assuming d is positive.\nAnswer: d**(-969\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2736)*2 - (sqrt(2736) + -1 + -2 - sqrt(2736)))**2*-1.\nAnswer: -98505 + 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -2466.\nAnswer: 19\/1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -0.9784156.\nAnswer: 4.0215844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43c080 (base 15) to base 7.\nAnswer: -36311616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2537.\nAnswer: 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 7*w**5\/30 + 7*w**3\/3 + 7*w**2. Differentiate p(b) wrt b.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 2:54 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3013812*x + 3013812*x - 5*x**2 + 5 + 16*x**2 - 5.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + -3. Let j = k - -43. Suppose 67 = j*s - 2*t, s - 14 = 2*t - t. What is the remainder when s is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(1\/5)*v)*v)\/v*v**8*v*v**(-1)*v\/v**0 assuming v is positive.\nAnswer: v**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**4\/4 - 5*j**3\/3 - j**2\/2 - 3*j - 2. Let i be k(-6). Suppose 0 = z + 2*z - i. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n**4 - n**4 - 3*n**4 + (-n + 2*n**2 + n)*(-2 + 3*n**2 + 2))*(-3*n + 4*n + n).\nAnswer: 18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2085738 - 39412172 = -3*x, 2*v = -4. Let u = 46442144 - x. What is u rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -20. Solve 0*s - 3*s + z = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = -4*k + 18. Let j(o) = 8 + 9*o**2 + 242*o**3 - k*o**3 + 9*o - 121*o**3. Calculate j(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-14)\/4) - 47652\/231. Let z = b - -216. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*f*w**3 + 98934*f*w**2 + f*w - 13*f - 3*w**2 - 6976*w + 2 wrt w?\nAnswer: 174*f*w + 197868*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 13*t + 12. Let w be g(-14). What is the third smallest value in 4, w, 1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1 + 1 + 2*m. Let n(i) = -1391*i + 195. Let l(d) = -22*d + 3. Let t(o) = 65*l(o) - n(o). Give x(t(g)).\nAnswer: -78*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2627, -8821, -19147, -33611, -52219, -74977, -101891?\nAnswer: -132967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195715\/8 - -24393. Let t = 71 + h. Let w be 4\/10 + (-4)\/5. Which is the second biggest value? (a) w (b) -2\/17 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (0 + -2 - -1) + 141 + -540 + 405\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10323 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210489478 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -h, 2*h = h + 4*o - 8. Let c(z) = 1 - 16*z**2 + 9*z**2 + 5*z**2 - 64*z**3 - z. Let j be c(-1). Calculate the greatest common factor of j and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 10:10 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -117*x**2 + 10*x + 276. Calculate b(-3).\nAnswer: -807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11786251 divided by -1\nAnswer: -11786251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -398\/1129249 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**6\/30 + 5*n**2\/2 + 13*n. Differentiate f(g) wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 227 = -675. Calculate the highest common divisor of z and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65416969 divided by 6.\nAnswer: 65416969\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3688444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18\/5 + 59\/15. Let m = -0.7 + -0.3. Let o = -5 - -9. Sort o, u, m in decreasing order.\nAnswer: o, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 - 302*v**2 - 318*v + 1663. Determine i(152).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24554140 (base 6) in base 16?\nAnswer: -c18cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60.4 - 78. What is r rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 21*a - 20 = 2*q, -3*a + 4 = -2 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + 1*sqrt(325) + (-2*sqrt(1573) - sqrt(1573))**2.\nAnswer: 5*sqrt(13) + 14159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + 12. Suppose -14*w = -2*w - 12. Let j(o) = 4. Let t(i) = -9. Let q(z) = 7*j(z) + 3*t(z). Calculate w*g(p) - 12*q(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 greater than -3907\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/72105024 and 1\/8482944?\nAnswer: 144210048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/1068 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 1:13 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - a = a + 6, -a = 3*m + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624954 + 215102 = 56*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 95\/20 + 0 + (-2)\/(-8). Find the third derivative of 11*d**k + 6*d**2 + 8*d**2 + 5*d**5 + d**2 wrt d.\nAnswer: 960*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -15*q - 6. Let m(z) = -4*z - 3. Let u(a) = 2*h(a) - 7*m(a). Give u(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - w - 5 = 0, s + 1 = 3*w - 6. Solve s = p + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -460 - -742. List the prime factors of s.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11*u - 1. Let l(q) = -37*q - 12*q - 3*q**2 + 87*q - 38*q. What is l(z(n))?\nAnswer: -363*n**2 + 66*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:23 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n + 1. Let x(u) = -u + 1. Suppose -14*h - 2*a = -a + 61, -3 = 2*h - a. Let s(o) = -2*o**2 - 20*o + 6. Let t be s(-10). Calculate h*c(d) + t*x(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q - 8. Let u(x) = -31*x. Let l be u(q). Let t = l + -52. Calculate the remainder when 36 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(600)*-2*3)\/(5*(sqrt(243) - sqrt(243)*-2 - sqrt(243))) + 5).\nAnswer: -8*sqrt(2)\/3 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g - 51*g + 7*g - 2087*g**2.\nAnswer: -2087*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 3531192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-792)\/656 + -4 + (-1)\/2. Let i = -3123\/164 + p. Find the common denominator of i and 562\/(-60) + (-2)\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1457 divided by -6.\nAnswer: 1457\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 113.4671kg?\nAnswer: 113467100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28682569.\nAnswer: 127, 449, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - g + 1. Let i = -1268 + 1272. Give f(i).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -420 + -13?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1143.4 - -1143.5. Let i be 46\/(-3)*9\/(-6). Suppose 5*k - 3*n = -i, -1 - 2 = k + n. What is the third biggest value in -0.03, b, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgtvwvwgggpgzt. Give prob of sequence wzvw.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**3 - 18*z**2 - 18*z + 42. Let k be u(5). Solve 7*p = -k*p + 45 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/598, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83391?\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suz when three letters picked without replacement from yzwuzsc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/282 and 31\/24.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) - ((-4 + -3*sqrt(68) + sqrt(68))**2 + sqrt(68)).\nAnswer: -288 - 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-16308)*65259 - 32?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7984891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9476 divided by -23?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 59574 + 4*c**2 - 2*c**3 - 2*c**2 + 59577 + 8*c**4 in the form y*c + m*c**2 + s*c**3 + q + l*c**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -160*i**3 - 1637 + 1637 + (i**2 - 3*i**2 + 0*i**2)*(-2*i - 2*i + 5*i).\nAnswer: -162*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 11. Let i = b - 5. Suppose c + 0*d - d = -6, -4*c = -3*d + 21. Is c at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**5\/17 - 62*u**4\/17 - 174*u**3\/17 - 10*u**2 - 56*u\/17 = 0?\nAnswer: -28, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - y + 2*y**2)*((-3*y + 3*y - y**2)*(31 + 3*y - 31) - y**3 + y**3 - y**3)*(4 + 0 - 1).\nAnswer: -24*y**5 + 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1192 and 48.\nAnswer: 7152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**21*a*a**(-12\/11)*(a*a*a\/a**16*a)\/((a*(a*a\/(a*a**(4\/7)))\/a)\/a) assuming a is positive.\nAnswer: a**(730\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**6 - 3*i**5*w + 191*i**2 - 2*i*w wrt i.\nAnswer: -360*i**3 - 180*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s + 8*s - 17*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q - 3*u = -371, -2*q - 3*u = 365. Let j be q\/(-10) - 2\/5. What is the greatest common factor of j and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -30.6. Let i = -1.6 + y. Sort -1\/3, i, -2\/5.\nAnswer: i, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -5, 0, 8429, 3 in increasing order.\nAnswer: -5, -4, -3, 0, 3, 8429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 327956 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88491*g**3 - 64683*g - 1?\nAnswer: 530946*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*z + 10. Suppose w = 9*w + z*w. Suppose w*m = 6*m - 1266. What are the prime factors of m?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 72*z**2 + 940*z - 5657. Give b(6).\nAnswer: 2575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -237*u**2 - 157*u**2 + 641*u**2 in the form a*u**2 + j*u + b and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -557*f - 25069. Calculate g(-45).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (0 - 264\/16)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/20)\/(6\/690). Calculate the greatest common factor of 46 and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 5*f**4\/12 + 5*f**3\/6 - 110*f. What is w in q(w) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -20*m**2 + 17*m - 2. Let d(o) = -7*o**2 + 6*o - 1. Determine 11*d(u) - 4*x(u).\nAnswer: 3*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22945, 16841, 6667, -7577, -25891, -48275?\nAnswer: -74729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 10. Let w be j(7). Solve 3*x - 17 = -2*f, -3*f + 2*x = 3 + w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2037 - 558 = -5*z. Suppose b = -4*x + z, 0 = 3*b - 2*x - 591 - 896. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. Which is the closest to h? (a) -1\/3 (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -23*v**2 + 4*v + 9*v**2 + 12*v**2. Suppose 16 = 6*n - 2*n. Let o(i) = i**2 - i. Determine n*o(y) + k(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31463.28 and -3?\nAnswer: -94389.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -228.465 to zero decimal places.\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-45)\/6 - 26\/52 and 47\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9748325581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:31 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.39391 milligrams to tonnes.\nAnswer: 0.00000005839391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**2 - 574*c + 1156 = 0.\nAnswer: -289, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5 + 8*v**4 + 170*v**3 + 328*v**2 - 648*v - 1440 = 0. Calculate v.\nAnswer: -5, -3, -2, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 - -3.1. Let z = o - 5.3. Which is the second biggest value? (a) z (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2555 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by -274127.\nAnswer: 46\/274127","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49337, 98699, 148059, 197417, 246773?\nAnswer: 296127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + -86 - (19 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {y: 1, h: 2, x: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 19 = 2*w + 10, -3*w - 15 = -5*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18879 by 6293.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 2) + 3 - 2. Let v = 329 + -2965\/9. What is the nearest to r in 3, -1\/4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + r**4 - 34 + 15*r**3 + 32 + 3*r**4 + 2*r**4 - 7*r**4 + (-6*r + r + 3*r)*(r**3 - 2*r**2 + 2*r**2).\nAnswer: -5*r**4 + 15*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6821443, -6821442, -6821441, -6821440?\nAnswer: -6821439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2 + 4. Calculate the common denominator of (369\/12)\/(u\/4) and 11\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 68*b**2 - 25*b - 820. What are the prime factors of a(63)?\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**5\/60 - 10*u**2. Let j(v) = -4*v**2 + v**2 + 4*v**2. What is j(b(r))?\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7784 (base 13) in base 9?\nAnswer: 24772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(3) + sqrt(3) + sqrt(15)\/sqrt(5)))**2 + 1*sqrt(7)*-5.\nAnswer: -5*sqrt(7) + 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -10 in descending order.\nAnswer: 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*u - 1460, 4*a - 16*u = -15*u + 5840. Calculate the greatest common factor of 35 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + (sqrt(24) - sqrt(384)*-2)\/(sqrt(288)*-2 - sqrt(288)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 7. Let y(z) = -z**3 - 7*z**2 - z - 33. Let p be y(-6). Let t = -62 - p. What is the greatest common factor of t and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/60*10 + -276. Is i greater than -549\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 + -72. Let v = 5 + b. Let y = -389\/6 + v. Sort 2, y, -2.\nAnswer: -2, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-1 - -4)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d966be - -8?\nAnswer: -d966b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -870\/11 + 73939\/935. Let p = l - -767\/170. Factor 27\/2 - 27\/2*s + p*s**2 - 1\/2*s**3.\nAnswer: -(s - 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.796 less than -410783897?\nAnswer: -410784294.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -252056 - -376.616001\nAnswer: -251679.383999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 4, d: 1, r: 2}. Give prob of sequence zzr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 822*u**2 + 3237*u**2 - 1734*u**2 - 370*u**2 + 5155*u**2 - 8259 with respect to u.\nAnswer: 14220*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 240 = 2*s. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/556395 and 53\/2205.\nAnswer: 1669185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10657\/351 - 387\/13. Let g = x + 527\/432. Find the common denominator of 45\/4 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -164?\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 10:53 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - w - 42, -4*y + 3*w = -82. Suppose 7*v + y = 18*v. Let i be (-1 - 1) + 0 + 2. Solve 0 = -i*h - v*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -29, -5, -2\/499?\nAnswer: -2\/499","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 12*b**2 + 1895 - 1903 + b in the form j*b**2 + i*b + k and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 3*a + 2. Let w be i(-3). Let x = w - 3. Is 2 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 7*y**2 + 9*y**2)*(2*y**2 + 3 - 3) + 23*y + 33*y**4 - 23*y.\nAnswer: 35*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Suppose -k + 54 = 2*k. Suppose -2*g - 8 = -4*c, 0 = 2*c + 5*g - k + 2. Solve c*b = b + z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2738 and 37?\nAnswer: 2738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384 - 384 - 3*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 2150.30729\nAnswer: 6450.92187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 137059.2ml in litres?\nAnswer: 137.0592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -125557, -251112, -376667, -502222?\n\"Answer: -125555*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d + 68 = 21*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17081 + 4502. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/13 (b) 3 (c) 0.5 (d) 933\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7150 is divided by 61.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -393 - -395. Solve 3*t + 2*t + d*v = 9, 2*t - 4*v + 6 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from xellmelilm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -20) + 20 + -20.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3884*q + 63 = -3882*q, -v = -q - 7 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-822)\/10)\/((-22)\/((-330)\/(-9))) is divided by 114.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -3*w + 6*w - 5*l, 2*w - 39*l - 24 = -41*l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4834, -4833, -4832, -4831, -4830?\n\"Answer: z - 4835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**6\/1020 - 197*u**5\/255 - 686*u**2 + 5*u. Suppose r(w) = 0. Calculate w.\nAnswer: 0, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 54 + 38c?\nAnswer: 3e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u + 2*p - 60, 3*u = -p - 47. Let d be (-2)\/u*(12 + -5). Let s be 1\/((-3)\/(-3)*d). Put -1, 4, s in descending order.\nAnswer: 4, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, t: 3, b: 1, k: 3}. Give prob of picking 2 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3) + (3\/((-24)\/104) - -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/519, -0.2, 276, 4?\nAnswer: 1\/519","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2709406019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 3*s**2 + 3*s**2)*(-1 - s**3 + 1) + 6*s**5 - 4*s**5 + 0*s**5 - 3*s**5 + s**4 - s**4.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + 0.21. Let n(q) = -46*q + 1883. Let d be n(41). Which is the third biggest value? (a) d (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*s = 140 + 364 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 526 = -3*n - 468 + 481, -2135 = -20*r - 5*n - 0*n for r.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to 1621\/355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 48\/5*r + 0 + 24\/5*r**4 - 24\/5*r**2 - 9*r**3 - 3\/5*r**5 = 0?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22204, 6530, -9144, -24818?\nAnswer: -40492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -411 - 65. Let h(u) = 6*u**2 + 5*u + 7. Let z be h(-6). Let q = i + z. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3619 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*p**4 - 10922971*p**2 + 10922971*p**2 - 24*p**3 + 688*p wrt p.\nAnswer: 816*p**2 - 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (170 - 170 - 289*s)*(-1 - 4 + 3) + 2*s + 0*s - 3*s in the form u*s + r and give u.\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4040, -11 in descending order.\nAnswer: 4040, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, 267, 261, 255, 249?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1950, 3839, 5664, 7425?\n\"Answer: -32*i**2 + 1985*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23495*w - 1366 wrt w.\nAnswer: -23495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 10*o - 30. Calculate the remainder when 12 is divided by 1\/(-1 + 0 - o\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7*l*l**5)\/(l*l**(-1\/2))**(26\/7) assuming l is positive.\nAnswer: l**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5982 take away -270?\nAnswer: 273.5982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-26)\/(3\/6*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 9081 = k - 3249, 4*k - 24672 = -4*f. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b + 11. Let v(m) = m - 2. Give -4*v(u) - 2*z(u).\nAnswer: 2*u - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -4*c - 205. What are the prime factors of c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 25, 1, 5 in descending order.\nAnswer: 25, 5, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175 and 35?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 563599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**2 - 5*g + 2. Let l(b) = b**2 + 4*b + 5*b - 3*b - 5*b - 1. Let x(w) = 4*l(w) + t(w). Determine x(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2 - o. Suppose k = 2 - 1. Let g be l(k). Suppose g*p = 5*p - 14. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 66863*g = 66860*g + 5, -14*v - 34 = -2*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r + 36*r = -9. Let n be (-39)\/12 + r\/(-12) + 5. Suppose n*w + 84 = 6*w. What is the remainder when 103 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + i + 2 + (-2 + 3 - 3)*(-1 + 1 - i))*(-1 - 10805*i + 10713*i - 1 - 2*i**2) to the form c*i + t*i**3 + p + s*i**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.038 - -0.198. Let b = -3.16 + i. Sort 5, -85, b in decreasing order.\nAnswer: 5, b, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w - 12342 = 39*w. List the prime factors of w.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 156*g**5 + 14*g**2 + 460*g + 14. Let h(a) = 31*a**5 + 3*a**2 + 92*a + 3. Let x(l) = -14*h(l) + 3*y(l). Find the second derivative of x(u) wrt u.\nAnswer: 680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-2) - -1) + 5. Suppose -k*y - 8 = 0, 0 = 2*v + 3*v + 4*y - 42. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, d: 1, t: 7}. What is prob of picking 3 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n - n + 3*n - 2 - 3*n + 2 + (-1 + 1 - 3)*(120 + 14 - 2)*(n - n + 3*n).\nAnswer: -1189*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 414616248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13122220 (base 4) to base 2.\nAnswer: 111011010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32234 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -3 + 10 - (6 + -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3634, 3635, 3638, 3643, 3650, 3659, 3670?\nAnswer: 3683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - 3 - 25970\/(-1378)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15224 = -77*g - 167*g - 463*g - 14470 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14696462 - 10066462. Round s to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**2 - 15*z - 1. Let d be j(10). Suppose 2*l = -2*l - d*b + 237, -3*b - 9 = 0. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3628166 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5248493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188*f + 14 + 188*f - 3*f**2)*(-44*f - 136 + 136 - 100*f - 7*f).\nAnswer: 453*f**3 - 2114*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (16 + -12 + -63 + (29 - 35)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-4 - -2)) + (25 - 25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10*j - 1. Let a be n(1). Suppose 539*p = 536*p. Find the first derivative of a*l - 13 + p - 2*l wrt l.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-47 + 21 - -31)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 0 + 0*d + 0*d**3 - 1\/12*d**4 - d**2. Let t(f) be the third derivative of -f**4\/12 - 7*f**2. What is t(n(j))?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -282, -423, -476, -441, -318?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3743922913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3*x - 28, 2*x - 5*x + 0*x = -4*x + 3*z - 11*z for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16418800 rounded to the nearest 100000?\nAnswer: -16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 39*q + 1131. Let i be x(-29). Solve -7*r - 36 + 8 = i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**0)**(2\/13)*(w\/(w*(w**2\/w)\/w*w))**(1\/3))\/((((w\/(w*w\/(w*w*w**(1\/11)\/w*w))*w)\/w)\/(w\/(w\/(w**(-7)\/w))*w))\/(w**(-1)*w)**1) assuming w is positive.\nAnswer: w**(-3482\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2981818?\nAnswer: 2, 7, 212987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 7*g - 4. Let c be f(8). Suppose 6*z + 3*o = 3*z - 6, 2*z - c*o = 20. Find m, given that -m**z - m + 6 - 6 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 473 by -11.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**3 + 8*u**2 + 4*u + 2. Let h(g) = -4*g**3 + 9*g**2 + 3*g + 2. Let w(z) = 5*h(z) - 6*o(z). Factor w(k).\nAnswer: (k - 2)*(k + 1)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 5\/6*n**5 - 1\/5*n**6 - 1\/2*n**4 + 0*n**3 - 1\/15*n**7 - 33*n**2 + 0*n + 0. Factor p(w).\nAnswer: -2*w*(w - 1)*(w + 3)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*r - 2*r. Calculate the least common multiple of 11 - -4 - -4 - (-7 - -6) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3330505.63800037 - 3330519.638. Let g = 14 + y. Round g to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**5\/2 - 5*y**4\/2 - 3*y**3 + y**2 + 7*y\/2 + 3\/2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000195404 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 15) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*c - 72. Suppose -4*u + 0*u + c = 0. Suppose u*f + f = 790. What are the prime factors of f?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63040 and 236608?\nAnswer: 233058880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 103a13 (base 11) to base 13\nAnswer: 5a8ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6610840 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 12 = 18 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10444440213 (base 5) to base 14\nAnswer: -17b0691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18236.\nAnswer: 2, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = -2*z + 412 - 203. Solve 8 = -4*k + z*v, -2*k + 5*v = 18 - 28 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -530*c**3*q - 310*c**2*q wrt c?\nAnswer: -3180*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 9. Let a be z(7). Let t(r) = -r**3 - 4 - 7*r - 5*r**a + 7 - 16*r + 18*r. What is t(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27 (b) -2 (c) -0.4351 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11905399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 39635?\nAnswer: 39635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 11262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 95750 - 23.6\nAnswer: 95726.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1089646*g. Let m(d) = 5*d - 2. Calculate m(u(z)).\nAnswer: 5448230*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11583401082+-1534\nAnswer: -11583402616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5*f + 6 + 0.\nAnswer: -5*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 10:46 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127821*u**2 - 127814*u**2 + 62 + 255641*u**2.\nAnswer: 6*u**2 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 80 + 83 = 0, 3*q + 4*y - 37 = 0. Sort -5, q, 14, -4 in ascending order.\nAnswer: -5, -4, q, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:06 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 78 = -4*b, -66 = -3*b + 3*q + q. Let j = 17 - b. Sort 2, -3, j in increasing order.\nAnswer: -3, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182*a**3 + 213*a**2 - 2 wrt a?\nAnswer: -1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*s - 2*s + 538, -4*b - 4*s = -548. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-170))\/((-9291)\/(-1520) + -6)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/45 - 13\/(-5). Suppose m = 13*q - 12*q. Solve -2*w + 5*p + 40 = q*w, -2*p = 4*w - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 22*q. Let g(h) = -1305*h. Determine f(g(o)).\nAnswer: -28710*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {t: 4, u: 2, w: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 + 12?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33)\/363 - (-1)\/11. Solve 3*a - 3 = 3*v, u*v = -5*a - 3*v + 37 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -300 + 298. Put -3, u, -51 in decreasing order.\nAnswer: u, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/40)\/(((-1287)\/(-39))\/(-495))*(-12)\/18?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a hour?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 12*m**2 + m + 1. Let z be a(12). Let n(o) be the second derivative of o**4\/12 - 2*o**2 - 4*o. Let s be n(4). Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 37*v + 83. Calculate m(-52).\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 0 + 29 - 102 + 48*h + 26. What is the tens digit of n(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*t**2 + 150*t**2 + 355*t**2.\nAnswer: -62*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*v + 48 = 0, -4*o + 36 = -3*v - 35. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -7 - 6*a**2 - 1\/10*a**5 - 1\/8*a**4 + 0*a - 1\/120*a**6 + 5\/3*a**3. Suppose i(j) = 0. What is j?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 153*l**2 + 111*l - 1079. What is the hundreds digit of v(-152)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 189 - 1253\/6. Suppose -2*u - 2*h = 12, -5*h = -6*u + 3*u + 14. Calculate the common denominator of 5\/90 - -6 - u\/12 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 5. Let x = 1196 + -1185. Solve -5*f - x = p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/4, -5, -1\/6, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z + 2. Let r(b) = 65*b**2 + 20*b. Give r(u(c)).\nAnswer: 4160*c**2 - 2240*c + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (363\/22 + 18)*168.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54242151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 11:06 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2. Let m(p) = -p - 74. What is -10*i(r) - 2*m(r)?\nAnswer: 2*r + 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12355\/(-14826)*312\/5.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a microgram in nanograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30952 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 1. Let g be (0 - 83)*15\/o. Let y = 378 - g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = -3*c - 3*w + 123, 2*w + 362 = -4*c. Let m = c + 101. Calculate the remainder when 62 is divided by 229\/m - 5\/(220\/(-8)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j - 32 = 4*l - 15*j - 19*j, 37 = 4*j + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 2*u**4 + 4*u**3 - 2*u**3)*(41 + 64 - 17).\nAnswer: 176*u**4 + 88*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -18. Calculate the remainder when (26\/p)\/((-1)\/(-5)) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5343, 10611, 15887, 21171?\nAnswer: 26463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 7. Let j be z(3). Suppose 3*p - p - j = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.929 + -3.929. Put -1, 2\/29, z in ascending order.\nAnswer: z, -1, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - 2)\/(1\/2). Let x be ((-2)\/(-6))\/((-2)\/g). Suppose 0 = x*t - 0*t - 4. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 543 - 312. Let r = 265 - a. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1308962 centuries to millennia.\nAnswer: 0.01308962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 97653854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5597.963602 and 4?\nAnswer: 5601.963602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10*(0 - 15). Let b = 15 - 5. Let w = b + z. Let a(j) = -j**3 + 5*j**2 - 5*j + 3. What is a(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89303340.\nAnswer: 2, 3, 5, 7, 212627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16746, -66766, -150058, -266622, -416458?\nAnswer: -599566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037 is divided by 324.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/3 - 112*u**2 - 1664*u - 19456\/3 = 0.\nAnswer: -152, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 119 - 368617.14086\nAnswer: -368498.14086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**3\/6 + 26*m. Let h(n) = -n + 35. Determine h(k(w)).\nAnswer: w + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = 8. Let i(l) = -7*l**2 + g*l**2 - l - 4*l**2. Calculate i(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2 + 24*y - 36 = 0 for y.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 20 = 5*g, 3*g = -2*l + l + 2. Let n = 3 - l. Let j(f) = f. Let c be j(-2). Is c greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.8 (b) 351 (c) 0 (d) -2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 827004354 to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79321, -79374, -79457, -79570, -79713, -79886?\nAnswer: -80089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*k + 42 = g - 167*k - 146*k, -3*k = g - 2 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 1, h: 1}. What is prob of picking 1 h and 1 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -106\/629 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**4\/2 + 333126*r**3 - 6996309*r**2 - 333126*r + 13992615\/2 = 0.\nAnswer: -222105, -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 23*p**2 - 49*p - 32. Let q be h(-25). Is q greater than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 417 + -322. What is the highest common factor of 38 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2121*-3.06.\nAnswer: -6490.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -41225 (base 8) to base 11\nAnswer: -11896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 74 + 53 = 0. Find the first derivative of -85*n - 3*n**3 - 88*n + 19*n**4 + 173*n - s wrt n.\nAnswer: 76*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 85*o**2 - o - 1857. What is f(-43)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 2)**2*-3*-3 - (5 + 0 + (4*sqrt(176) + sqrt(176))**2).\nAnswer: -3478 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 835970219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 47*q**2. Let m(k) = 33*k**2 - 1. Give r(m(u)).\nAnswer: 51183*u**4 - 3102*u**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -0*r + 7 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.524588 kilometers?\nAnswer: 6524588000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 + 7*g - 2*g - 200 - 2*g.\nAnswer: 3*g - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5))**(-40)\/(l\/((((l\/l**(-5\/6))\/l)\/l)\/l*l))**(-47) assuming l is positive.\nAnswer: l**(1529\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813*n + 799*n + 79*n**3 - 2403*n + 791*n.\nAnswer: 79*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4372*t + 5690 - 1929*t + 1299*t + 1936*t wrt t?\nAnswer: 5678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (-11 - (91 + -34))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 0. Suppose -g - g + h = 0. Solve -5*f + 1 = 2*u - 0, 4*u + g = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 6) to base 16.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4*l - 3 - 3*l)*(923 - 954 - 500) to the form n*l + f and give f.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70227 and 729.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21214.85*9.\nAnswer: 190933.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 6*u + 5. Let f(q) = -6*q**2 - q - 1. Let c be f(-1). Let b be w(c). Let y be (b - 3)\/(-8)*-4. Put y, 0, 2\/13 in increasing order.\nAnswer: 0, 2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140548.\nAnswer: 2, 41, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (28 + -24)*(-318)\/(-64).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -70 + 254. Suppose 9*v - p = 53. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/(-92) + (-47050)\/1932000 and -53\/1200.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244860 divided by -24486.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72285 or 72477?\nAnswer: 72285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11439, -22982, -34525, -46068?\nAnswer: -57611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 76*r**2 + 72*r.\nAnswer: 4*r*(r - 18)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, a: 2, t: 6, x: 3, l: 4}. Give prob of picking 1 o and 1 t.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**3 + 5*c**2 + 7*c + 8. Let d be l(6). Calculate the common denominator of (-4645)\/d - (18 + -12) and -35\/18.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Let q = 4 - -1. Let l = q - 2. Solve b = l - c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, -7\/53, -16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159 by 447.\nAnswer: -53\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (27\/(-6) - -6) + (-3490949)\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 19071571.4 to the nearest one thousand.\nAnswer: 19072000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 14044412?\nAnswer: 14044402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.092 and -1.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -222967177*d**3*q**2 + 7*d**3*q - d**2*q - 25*d**2 - 11812*q wrt q?\nAnswer: -445934354*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 7:21 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-12)\/2)\/((-1020)\/136)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 712.6703 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*g = -127*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2078 or -60226\/29?\nAnswer: -2078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17015 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2.9 (c) -2\/7 (d) -59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.01 + -7. Let w = -0.21 + r. Let a be (11 - 2 - 3) + 836\/(-143). What is the second biggest value in -0.5, w, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(6 + 152\/(-26)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305544620.928 plus -198?\nAnswer: -305544818.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485 - 72 - 450 = -53*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29062221 or -29062209?\nAnswer: -29062221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27480, -54960, -82440, -109920, -137400, -164880?\nAnswer: -192360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -96, -151, -210, -273?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*s = -0*s - 567, 15 = 3*s. What is the least common multiple of (-122)\/(-14) - (-17 - (-936)\/56) and c?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*w + 56*w + 8*w + 1 - 21*w to a*w + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*l = -u + 114, 0 = 2*u + 5*l - 53. What is the third derivative of 34*m**6 + 26*m**2 + u*m - 29*m wrt m?\nAnswer: 4080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 40*z + 1427 = 179 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*1*(-5)\/10. Find the second derivative of 2*c**3 - 4*c**p + c - 5*c**3 + 7*c wrt c.\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 15) to base 4.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/5)\/((s\/(s\/s**(-1\/14)*s*s))\/s*s) assuming s is positive.\nAnswer: s**(159\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -546*s. Let h(n) = 43*n**2. What is z(h(f))?\nAnswer: -23478*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 80 = -5*x, 4*x - 270 = 6*l - 212 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5638*y - 92196. Give f(-17).\nAnswer: 3650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let c(k) = 562*k. What is t(c(z))?\nAnswer: -562*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 2*z - 12 + 14, 5*z - 7 = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046 less than -88?\nAnswer: -87.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/4, 54321, -12 in increasing order.\nAnswer: -12, -1\/4, 0, 54321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 - -69 - (-1 + 11 + -2). What is the greatest common divisor of t and 1715?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 12:00 PM?\nAnswer: 362","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 6*m + 6. Let s = -11 + 17. Determine u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2. Let h(p) = 244*p - 39. Determine h(w(t)).\nAnswer: 244*t**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194 - 197. Let k(b) = -16*b**3 - 6*b**2 + 3*b + 11. What is the units digit of k(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 z when three letters picked without replacement from xzzxzxxx.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = g - 4*g, 4*g + f = 4. Solve -2 = -g*a + 2*c - 0, -3*c + 18 = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00057 rounded to 5 decimal places?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6937 + -0.693686962. Round c to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/4200*-825*(-116)\/22.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 921880850 to the nearest 10000.\nAnswer: 921880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.17?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l*l*l**(2\/23)*l*l)\/l**22 assuming l is positive.\nAnswer: l**(-343\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8979691 is divided by 3070?\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -0.2 (c) -1 (d) 168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -3 (b) 2\/17 (c) -161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 9625 = -2*v - 0*v, 0 = 5*h + 5. What are the prime factors of (8\/15)\/(-4) - v\/(-75)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2630533 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129 - -189. Calculate the lowest common multiple of o and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113*j**5 - 108*j**3 + 647*j**2 - 5762181*j wrt j?\nAnswer: -2260*j**3 - 648*j + 1294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 51 = 3*v, 162 = 5*q + 2*v - 6*v. What is the least common multiple of 35 and q?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, -0.02, -24, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 3) + (-74 - -114).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/29, 3, 710\/3, -4?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + -402.78. What is h rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-4)*(-432)\/6804. Which is the second biggest value? (a) s (b) -3 (c) 798\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1701 = 155*d + 616 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -242*x + 12227 + 4400 - 4285. Calculate the smallest common multiple of 782 and x.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 + -5) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/324084 and -47\/81021?\nAnswer: 324084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.32325 rounded to 3 decimal places?\nAnswer: 3.323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.503897 times -18?\nAnswer: 9.070146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 3, 231, -5, 93 in descending order.\nAnswer: 231, 93, 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 59*j**2 - 245*j + 12123. What is h(58)?\nAnswer: 1277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 310 - 310 - (-9 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-3))\/((-4)\/6). Let b be -19 - (8\/6)\/((-1)\/3). Let l be 62\/155 + (-1194)\/b. What is the highest common divisor of l and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -322, -2\/7, 4, -4\/7, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 2\/3, -6\/11, 7, 1, 13, 3 in descending order.\nAnswer: 13, 7, 3, 1, 2\/3, -1\/7, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a kilogram in grams?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2377*c. Let d(a) = -2247*a**2. Calculate y(d(l)).\nAnswer: 5341119*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - ccaf0?\nAnswer: -ccaf0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 491 divide 91184592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**4)**26)**0\/(((((m**(2\/23)*m*m)\/m)\/m*m)\/m*m)\/m**3*(m\/(m\/m**(-7)))\/(m\/m**2)) assuming m is positive.\nAnswer: m**(182\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(8)\/sqrt(4) + 3 + sqrt(18)\/sqrt(9))**2 + (((sqrt(72) + sqrt(72)*1 - sqrt(18)) + sqrt(18))\/((-2*sqrt(108))\/sqrt(12)))**2.\nAnswer: 30*sqrt(2) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 4*w - 2*w + 7. Let v be g(-6). Is (555 - (-4)\/2)\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 8. Let w(s) = -2*s - 14. Let a(p) = 7*t(p) - 4*w(p). Let u(r) = 2141*r**2 - 3*r. Calculate a(u(o)).\nAnswer: 2141*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*f**2 - 154*f**2 + 2693*f**3 - 150*f**2.\nAnswer: 2693*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38, 148, 330, 584, 910, 1308, 1778?\n\"Answer: 36*g**2 + 2*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**3 + 381*w**2 + 4676*w - 381*w**2.\nAnswer: -6*w**3 + 4676*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/30 - w**4\/24 - 2*w**3\/3 - 3*w**2. Calculate the remainder when i(3) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 p when four letters picked without replacement from {x: 2, p: 6, z: 2, n: 1, t: 3}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1583, -3179, -4781, -6389, -8003, -9623, -11249?\nAnswer: -12881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/280*35*(-3)\/(-27)*-4?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-578*f**2 - 532*f**2 + 1058*f**2)*(-4 + 5 + 2)*(7*f + 8 - 8).\nAnswer: -1092*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Suppose -x*c - o + 6 = 51, 4*c + 3*o = -39. Is (c + 10)\/((-4)\/14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 509109813?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**5\/60 + 3*p**4\/4 + p**3\/3 - 6*p**2. Let o be j(18). Suppose 3*c - 1793 = -o*h, -2*c + 5*c = 2*h - 1763. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.1. Let u = 0.1 - r. Let v = 0.2 - 0. What is the nearest to 2\/7 in v, u, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -16. Which is smaller: d or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/63 - (-38)\/(-171)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*-6*(sqrt(2057) + 2 - sqrt(2057)) + 3*(0 + -5 + (sqrt(17) + 1 - sqrt(17)) + -1).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 1368656\nAnswer: -6843280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6318 + 6317.92. What is the nearest to b in 5, 16\/23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 675 = -v, 0*b = 5*b + 3*v + 1121. Let q = -216 - b. Solve m = 3*j + q, 2 = -m - 4*j + j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9 = 3*m, 3*m - m + 5*j - 13 = 0. Let p = 3 + -5. What is the remainder when 27 is divided by (p + m)*(-42)\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 172, 359, 714, 1291, 2144?\nAnswer: 3327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4237340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 343776793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x + 58440 = 102*x. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 5*c**2 + 14*c - 13. Calculate t(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/36)\/(6\/(-9)))\/((-88)\/594*96)?\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -27648*c**5 - 166464*c**4 + 5540253*c**3 - 23542935*c**2 + 13874907*c - 2212113 = 0. Calculate c.\nAnswer: -19, 1\/3, 197\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -3\/149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2 + 27690258*s - 27690261 = 0. What is s?\nAnswer: -9230087, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 2*d**2 + 0*d**2)*(521 + 1682 + 2655).\nAnswer: 4858*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 + 106*r + 212. Give q(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 less than 8305?\nAnswer: 7970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009002 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*j - 1 + 37*j + j**4 + 19*j**3 - 3*j**4 - 18*j**3 to the form u*j**2 + f*j**4 + t + a*j**3 + i*j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-7)*(-252)\/(-72).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 = q, 4*q + 4*f = 5 + 11. Let z(r) = 4*r**2 - 3*r - 2. Let x be z(q). Let t = 836 - x. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + f = -25. Let h be 2\/(-4)*(0 - 0). Suppose h = 2*p - 4*z - 10, -3*p + 0 = -4*z - 11. Calculate the highest common divisor of f and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a + 1c?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32180*o - 32181*o + 2 = 0. Solve o*p + 24 = -2*p - 4*f, -3*p - 10 = f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10050400 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -12. Suppose 0 = -2*r - 0 - 2. Sort r, -10, v.\nAnswer: -10, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(102) + -6*2*sqrt(102) - (sqrt(102) - sqrt(102)*1*-6))*-3)\/((sqrt(150) - 2*(sqrt(150) + (2*sqrt(150) - sqrt(150))))*-6))**2.\nAnswer: 18*sqrt(17)\/5 + 378\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 4188125?\nAnswer: -4188124.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 208269727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 197933 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g**2. Let j(p) = -8*p - 12. Calculate j(o(y)).\nAnswer: 80*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.479, 4\/3, -4\/3, 1\/6, 0.02 in ascending order.\nAnswer: -4\/3, 0.02, 1\/6, 4\/3, 5.479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 35534.263 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -5, 397, -3, -133.\nAnswer: -133, -5, -3, 2, 3, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 90.1?\nAnswer: 270.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1071365590 and 446?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, 4, -2\/7, -3, -28 in decreasing order.\nAnswer: 4, 1\/14, -2\/7, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 2*b**2 + 1\/3*b**3 - 20 - b. Let z be s(-2). Sort z, 5, -1, 1.\nAnswer: z, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-10)*(-150)\/(-60). Suppose n = -14*z + 60. Calculate the greatest common factor of 20 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.157 rounded to one dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 997815 divided by 3\nAnswer: 332605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19979, 39986, 59979, 79952, 99899?\n\"Answer: -g**3 - g**2 + 20017*g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2507\/(-327))\/((-5)\/15)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g - 18*g + 7*g + 5*g**3)*(4*g - 4*g + g) + g**4 + 0*g**4 - g**3 + 0*g**4 to i*g + x*g**2 + l*g**3 + a + o*g**4 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 4*h + 67 + 204, 4*r - 366 = -3*h. What is the remainder when 182 is divided by r?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98900 = -470*a - 2155*a + 647*a for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogcoongnoenoeoennog. Give prob of picking 2 o.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.32. Let u = -0.06 - -0.48. Let h = z + u. Which is the closest to 0.1? (a) -1 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 19*c**2 - 43*c - 13. Let g be h(-21). Calculate the highest common divisor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 816635931 and 3189?\nAnswer: 3189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdydvryrryyrrfr. What is prob of picking 3 r and 1 v?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - l - 78. Let o = l + 61. Let u be o\/4 + (-4)\/8. Solve -4*z + 4*h = 36, -3*h - 21 + 8 = u*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + 1 + -5)\/(1\/10). Suppose 2*p + k = 38 + b, 2*p - 66 = -3*k. What is the remainder when 39 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 88 - 22. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q - 4. Let c be r(7). Suppose 4*p + 4*k = 2*p + 26, c = 4*p + k. Solve 2*t - 2*b = -0*t, -4*b = -p*t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -852*z**2 + 1682*z**2 - 851*z**2.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i + 23*i - 11*i + 17*i**3 + 13*i + 3*i.\nAnswer: 17*i**3 + 17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -678 - -a41?\nAnswer: 3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 4*j + j. Suppose r = -5*d + 130, -5*d + 32 = -r + 152. Let v(n) = 257*n - r*n - 130*n. What is c(v(i))?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**6\/280 + o**5\/35 - 19*o**4\/56 + o**3 + 607*o**2. Suppose j(v) = 0. What is v?\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-9)*(-102*(-574)\/(-336) + 37)?\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 - 8*p**4 + 4*p**2 + (p + p + 0*p)*(-3*p + 3*p + 4*p**3) + 33*p**4 - 64*p**4 - 51*p**4 - p**4 + 3*p - 3*p.\nAnswer: -83*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33759383 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (5 + (4*(sqrt(1331) + sqrt(1331)*-2) - (sqrt(1331) + -2)*-3) + 0)**2).\nAnswer: -5336 - 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 242799923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450870 is divided by 150285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgkk when four letters picked without replacement from {g: 2, f: 7, k: 9}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p**2 - p - 7. Determine q(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 22753143 to the nearest ten thousand.\nAnswer: 22750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 3*t = -516. Suppose -t = -2*q - 2*q. What is the remainder when q is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/9)\/(z*z*z**(-9)))\/(z\/(z*z**0\/z))**(1\/3) assuming z is positive.\nAnswer: z**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/7 + 95*d**3\/7 - 2756*d**2\/7 + 28240*d\/7 - 62400\/7 = 0. What is d?\nAnswer: 3, 20, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95 and 5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**0)**(-11)*(p**(-3)*p*p)\/p*p*p\/((p**(-3\/2)\/p)\/p)*p*p*(p**(2\/7)*p)\/p**(-1\/5)*(p*p*p\/(p**(2\/9)*p))\/((p*p**(-4))\/p) assuming p is positive.\nAnswer: p**(1111\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 9*i + 2. Let s be v(-7). Let z = 351 - s. Suppose -g = 4*g - z. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-1)))\/w*(w*w**(9\/2)*w)\/w)\/(w**(3\/7))**4 assuming w is positive.\nAnswer: w**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30565, 30368, 30171, 29974, 29777, 29580?\nAnswer: 29383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9712 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56261 and 435026?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2466 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 81*i**2 + 3191*i + 254894. What is p(-82)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 612 and 1683?\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.27\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 3:08 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1611211\/120 + -13427. Calculate the common denominator of -31\/42 and f.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28836 by 6.\nAnswer: -4806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3064413278?\nAnswer: 2, 1532206639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -13.053. Let o = 0.653 + s. Which is the nearest to 2\/9? (a) o (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-7)*1240\/60. Let t = g - -1151\/42. What is the nearest to 1 in 2, t, 12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1611, -1606, -1597, -1584, -1567, -1546?\nAnswer: -1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*q - 12 = 58*q. Calculate the lowest common multiple of q and 9 + (-1)\/(-1) - 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*q + 1 = -3, 4*q = -g - 8. Suppose g*y = -5*y - 110. Let f = -3 - y. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000283868 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/39023300 and 43\/10926524?\nAnswer: 273163100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1416 divide 59513930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.556 - 31.6. Let d = -0.044 - k. What is the closest to d in 2\/11, -1, -2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(171) + (sqrt(171) - sqrt(171)*-2) + -3 + -3 - (-2*sqrt(19) + -1)*6*-2))**2.\nAnswer: 6912*sqrt(19) + 48960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l**(3\/11)\/l)\/l)**(-2\/25) assuming l is positive.\nAnswer: l**(-6\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2253 + 207 = 10*q. Let h = 245 - q. Are h and -1\/128 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2 + 1416*s + 81392. Give x(-203).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1088) + sqrt(1088))*-3 + 1 + ((sqrt(1088) + 0)*-1 + sqrt(1088) - -2*sqrt(1088)*-1))**2*-5 + 3.\nAnswer: -349002 + 8320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2202994969 to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9519 - -142837\/15. Find the common denominator of -74\/225 and s.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - a = 20 + 298, -a + 162 = 2*y. What is the lowest common multiple of 80 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3556724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4020 - 4020 + 76*a)*(0*a**2 + 0*a**2 - 6*a**3) + a**2 - a**2 - a**4 to the form j*a**2 + n*a**4 + y*a + k*a**3 + c and give n.\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -562.5 - -563. Sort 0.1, 8, -0.2, h.\nAnswer: -0.2, 0.1, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/17904926 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13548 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 2\/27 (b) 1\/3 (c) -3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 + 0*d**2)*(4*d + d - 4*d)*(7 + 3 + 7).\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 7659457.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b - 10. Suppose -5*n + 32 = -t - 2*n, 5*t = -3*n - 88. Let i(l) = -1. Let m(o) = t*i(o) + 2*a(o). Let h(g) = -7*g**2. Determine h(m(s)).\nAnswer: -1008*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = 6 - 26 - 184 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, q: 1, l: 1, r: 2, b: 1}. Give prob of sequence bzb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, -448, -1519, -3018, -4945, -7300?\nAnswer: -10083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 4*p**2 + 37*p - 8. Let n be w(7). Let s(a) = a**2 + 25*a - 13. Let c be s(-26). What is the highest common factor of c and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 = 5*l - 15, 3*l = -b + 9. Is 2\/b + (-6204)\/(-9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 26. Suppose -b = 16*b - 561. What is the remainder when n is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a micrometer in nanometers?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -21422*o + 235638. Give d(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -96586, -386363, -869316, -1545439, -2414726?\n\"Answer: r**3 - 96594*r**2 - 2*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*u**3 - 89*u**3 + 109*u**3.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -147 - (-185 + (-129 - -95))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-2)\/8))\/((-14)\/(-63))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29\/3 - -107\/12. What is the nearest to -3 in 3, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - j. Let w(n) = n**3 + n**2 + n. Let y(v) = v + 3. Let z be y(-3). Suppose z*i = i + 3. Let m be (-10)\/15 - 8\/i. Calculate m*u(t) + 2*w(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**3 + 6*r**2 - 18*r + 3. Let c(k) = 3*k**3 + 3*k**2 - 9*k + 2. Calculate 7*c(a) - 4*n(a).\nAnswer: a**3 - 3*a**2 + 9*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s + 9 - 5*s - 10 - 2*s**2 to y*s + h + w*s**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -2 - ((-8 - -3) + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7144890989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m*o*q - 5*m*o - 20*m*q - 29*m + 9*q wrt q?\nAnswer: -m*o - 20*m + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/5)\/(v*v**(-5)))**4\/((v*v**(-1\/4))**(-34)\/(v**1)**(-43)) assuming v is positive.\nAnswer: v**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 144*d*f*i**2 + 2*d*f*i + 2*d*f - 23171*d*i**2 - 3*f + 2*i**2 - 2*i wrt f.\nAnswer: 144*d*i**2 + 2*d*i + 2*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11008)\/(-2064)*(-2)\/6*9\/1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 420 or 419?\nAnswer: 420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*v + 3. Let i(q) = -3 - 3*q - v - 4*q - q**2. Give i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8\/7)*((x**(1\/13)\/x)\/x)\/x*x**(-3\/8)*x**(-4))**1 assuming x is positive.\nAnswer: x**(-6145\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-575)\/920)\/(2\/4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 50.71. Let j = -0.11 - -0.1. Let r = w - j. Is r >= -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(156)*-3)\/(6*sqrt(36)\/sqrt(3) + sqrt(12) + (sqrt(240)\/sqrt(4))\/sqrt(5)))**2.\nAnswer: 1053\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -4 - (-16 + -1 - -24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275503653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 0*u**2 + 6 + u + 4\/3*u**3 - 1\/2*u**4. What is w(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7 + 2*f**3 - 16*f**2 + f**3 + 16 - 2*f**3 - f. Let z = 2791 - 2775. Give o(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.4 - -136.6. Let c = g + -152.2. What is c rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 124066 - -2?\nAnswer: 124101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115 is divided by 276?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h + 33. Let c(o) = o + 6. Let j(s) = -4. Let r(k) = -2*c(k) - 3*j(k). What is r(p(l))?\nAnswer: -6*l - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5270531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5*g - 5*g + 2*g)*(1 + 0 + 0) as q + t*g and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1 (c) 53\/1115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.4117269 to 1 decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 9. Suppose 3*d = 5*w - 16 - 10, 5*w - 2*d = 24. Let j(g) = -g**3 + 5*g**2 - 2*g - 12. Let q be j(w). Sort q, 3, n in increasing order.\nAnswer: q, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 331.62 - 329. Let x = o + -2.54. Which is the closest to -1? (a) -3\/2 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 2\/81 (c) -5 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/180600 and 223\/1986600.\nAnswer: 1986600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**2 - 3*i + 143. Let d(y) = -6*y**2 - 2*y + 141. What is 5*d(m) - 4*n(m)?\nAnswer: -2*m**2 + 2*m + 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14592 + 1026*a**2 - 14592.\nAnswer: 1026*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**3 + 7*x**2 + 11*x + 7. Suppose 77*c = 80*c - 5*y - 46, -4*c + y = 1. Let t(v) = -v - 3*v**2 - 2*v**3 + 0*v**3 - 4*v - 3. Give c*i(p) - 7*t(p).\nAnswer: 5*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23465 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.072770193 to 5 dps.\nAnswer: 0.07277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 7:50 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:11 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*v**3 + 24220*v - 56*v**3 - 38129*v to the form k*v**2 + w + f*v + m*v**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (406\/(-4))\/((-14)\/(-28)). Let p be i\/(0\/(-1) + 40 + -41). What is the greatest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64818\/1332 + -51 - 20\/(-8)?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -11\/6*r**3 + 0 + 9*r**2 + 0*r + r**4. Calculate the remainder when t(8) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1121 (b) -1\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, -71, -182, -309?\n\"Answer: -8*m**2 - 71*m + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 50*o + 100. Calculate p(-27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -520 - -604. What is the greatest common factor of y and 1092?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 2 + 7\/(-14)*42. Let v be (4\/10)\/((-4)\/q). Solve v*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.62 + 22.64. What is y rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.96932 - 0.19142. Round y to two dps.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 74*o**3 - 48*o**2 - 5*o + 3. What is the remainder when 2084 is divided by b(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 54324*j + 706211. Determine m(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 2, v: 3, w: 1}. What is prob of sequence vv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2479 + 180970\/73. Let b = 82\/219 - x. What is the smallest value in b, 0.06, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.8+-7.6\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.457752 micrometers?\nAnswer: 3457.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/(-56))\/((-35)\/40))\/(-3).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 231287 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 75, 56, 23, -30, -109, -220, -369?\n\"Answer: -n**3 - n**2 - 9*n + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = -0, 3*y - 5*j + 610 = 0. Let z = y + 1843\/9. What is the closest to -1\/4 in -0.1, -7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 291 - 97 = -z, 4*n + 4 = 0. Let m = -124 + z. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -7 + 0 - (0 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*n + 3*a + 77, 4*a = 4. Let p be 126\/(-4)*(-3328)\/78. Calculate the highest common divisor of p and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -17*(-1)\/(-5)*(1 - 6). Let k(u) = -u**3 + 16*u**2 + 22*u - 5. What is the tens digit of k(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143.06082 - 143.1. Let x = 0.04 + a. What is x rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 26, 4, -2 in descending order.\nAnswer: 26, 10, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 273\/11)*-1\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26947?\nAnswer: 26947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4.04. Let f = 0 - h. Let y = f - -0.36. Which is the second biggest value? (a) 0.5 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 161772 and 453596?\nAnswer: 23133396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4812455 by 5.\nAnswer: -962491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 0.5. Let o = h - 0.3. Let s = o - 1.07. What is s rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - b - 20, 2*f = -f + 4*b - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 0)*(-4 - 3 + 0 + 2*m) to the form g + u*m and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/8*20\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3606.\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7171 (base 10) in base 6?\nAnswer: 53111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, 50, 145, 268, 413?\n\"Answer: -b**3 + 23*b**2 - b - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 2. Let v be m(-16). Let b be ((-3)\/(-330))\/((-3)\/v). Let q = b - 4\/33. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**2 + 10277832*a = 0.\nAnswer: -2569458, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 51\/5*u**5 - 59 + 0*u**3 + 87*u + 0*u**2 + 0*u**4. What is the first derivative of r(i) wrt i?\nAnswer: 204*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -50. Let d(b) = 2*b**2 - 5. Let u be d(o). Suppose -u*i = 5*k - 19, -5*i + 2 = -i - 5*k. Solve -4*z + 17 - 2 = -i*y, 5*y - z + 8 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(293\/(-12) + 3\/18). What is the highest common factor of 4 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 4 = 5*f + 9, 4*f = p - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 740 + -293. Let b = g - 446.9606. Round b to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*w = -3*f, 35*w - 5 = -5*f + 33*w + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 1 - 1)*(-4*k**2 + k**2 - 11*k**2).\nAnswer: -42*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -171 (b) -1535\/3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -37107 - -0.65?\nAnswer: -37106.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 988 + -1?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6419999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 190415, 770339, 1736871, 3090005, 4829735?\n\"Answer: -r**3 + 193310*r**2 + r - 2895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -4147, 393 in descending order.\nAnswer: 393, 1, -2, -4147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h**2 + h + 6. Let d(k) = 15*k**2 - 2*k - 13. Let p(w) = 6*d(w) + 13*s(w). Let l be (-48)\/(-20) - (-9)\/15. Give p(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -192, 247 in increasing order.\nAnswer: -192, -19, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 17 - 42)*(-9*v + 1 + 25*v - 15*v + v - 5*v + 2*v + (0*v + 4*v - 2*v)*(1 - 3 + 1) + 4 - 4 - 2*v).\nAnswer: 60*v - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55599, 55272, 54945, 54618, 54291?\nAnswer: 53964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -214 - -16.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -9.\nAnswer: -43\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = -h. Calculate the least common multiple of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 404 - 377. Suppose -4*k = -390 + 86. Calculate the remainder when k is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2362 divide 979964539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7948 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 4)*(-6*o + 2*o + 2*o) + 0*o - 3*o + 0*o in the form l*o + g and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-51 + 11 - -13) + 21 + -10 + -50\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10216\/3345 + -39\/446. Let x = -2\/7427 + 1076951\/133686. What is the common denominator of g and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 4, u: 7, y: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.31, -9, 0.8, 1\/2 in ascending order.\nAnswer: -9, 0.31, 1\/2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3027018 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*1*4\/(-8). Suppose t = b*t. What is the nearest to t in -4, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 6*w + 7. Let m be h(-5). Let y(p) = 3*p + 4 - 2 - m. Suppose -v - 2*l = -6*l - 5, 4*v - 9 = 5*l. Let x(r) = -r. What is v*y(k) + x(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4168 = -2*w, 5*w - s = -7421 - 3026. Let g = 3337 + w. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(0*d - 4*d + 8*d)*(2 + 5 - 5).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + 2*m)*(3 - 3 + 2) + 0*m + 2*m - 3*m + (3 + 12 - 1 + (2 - 3 - 2)*(1 + 5 - 4) - 1 + 3 + 0)*(19*m + 73*m - 44*m)*(-2 + 0 + 3).\nAnswer: 483*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9684689.\nAnswer: 7, 79, 83, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 73 (c) -0.265 (d) 211 (e) 0.1 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:48 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011111 (base 2) to base 4.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*p - 169*p + 21376 + 4349. Suppose -3*s - 82 = -292. What is the highest common factor of p and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 < -220\/94309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(78\/(-10))*(-12)\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxuzpqe. What is prob of sequence xzuq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/20)\/(3\/10)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l + 11. Give g(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1067 - -1114. What is the remainder when 377 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340bca (base 14) to base 12.\nAnswer: 713bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2644*m - 26449. Calculate p(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -16*f - 4. Let g be x(-4). Suppose -4*u + 4*q + g = -2*u, -5*q = 25. Solve -4*z = z - u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 2. Let f be r(-5). Let a be 23\/(-5)*(f + 4). Which is smaller: a or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*l - 6*l. Suppose -l = 4*h - 11. Calculate the remainder when 14 is divided by h*3\/(-6) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/20 + 9\/10. Let f be ((-127 - -13)\/(-19) - 3)\/((-39)\/(-2)). Which is the fourth smallest value? (a) 3\/5 (b) 0 (c) q (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + -0.1. Suppose -4*w + 7*v = -8 + 55, -13 = w - 2*v. Let c = 149 + -1049\/7. What is the smallest value in c, t, 1\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 6:18 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -84*j**2 + 27*j. Let o(l) = 12*l**2 - 4*l. Let s(b) = 4*i(b) + 27*o(b). Let d(m) = -2*m**2. Give d(s(x)).\nAnswer: -288*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 16 + 24 = 4*m, -1 = -3*m - 5*j. Factor 6*i + 0*i - 2 + 6*i + 35*i + m*i**2 - 12.\nAnswer: (i + 7)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(684) - -2*sqrt(684)) + sqrt(684) + sqrt(684))*4 - (1 + -1 + sqrt(684) - (sqrt(684) + (-5 + -1*sqrt(684) - sqrt(684))))**2)*1 + 0.\nAnswer: -2761 - 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*s**4 - 8*s**4 - 1 + 21*s - 7*s**2 + 8*s**2 to x + o*s**3 + k*s**4 + b*s**2 + y*s and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 142 - 63. List the prime factors of i.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 f when four letters picked without replacement from {a: 3, f: 11}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 3*q + 69. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169020423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6411?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + p**2 - 2*p + 1. Let g be y(1). Let k = g - -13. Solve -2*f - f + 3*c + k = 0, -5*c = 2*f - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*c = 42, 172*c = -3*s + 171*c + 15. Solve 2*u + 2*x = u - 15, -s*u - 55 = 8*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) -41\/7 (c) -7\/6 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/9 + -2\/9. Let q = 2.5 - 2. Let l = -3.5 - q. What is the closest to o in -1, l, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14198*a + 14310*a = 3136 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.71 - 3.6. Let k be 3\/36 + 2\/(-6). Let l = 11380.2 + -11380. Which is the closest to 0.1? (a) t (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11183 = -4533*d + 56904 + 5509 + 66927 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565733.\nAnswer: 7, 80819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 52 = -0*y, 2*k + 5*y + 65 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*u**5 - 422*u**4 - 19*u**3 + 197353*u**2 wrt u.\nAnswer: -300*u**2 - 10128*u - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, c: 5}. Give prob of sequence scss.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spps when four letters picked without replacement from {p: 3, s: 8}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*v + 76*v + 30*v in the form w + z*v and give z.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by 145606.\nAnswer: 1\/3098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -28*v**2. Let z(w) = 31*w**2 + 103*w + 5. Let b(a) = 16*a**2 + 62*a + 3. Let p(f) = -5*b(f) + 3*z(f). What is p(q(l))?\nAnswer: 10192*l**4 + 28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 - (-102 + 78) - -150?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 516*j**2 + 37. Let t(i) = 172*i**2 + 13. Determine -8*t(m) + 3*y(m).\nAnswer: 172*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 7*v + 48 = 0. Let x = v + 16. Find the first derivative of -6 - 4*n**4 - 8*n**x + 9 wrt n.\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741864.8 grams in micrograms?\nAnswer: 741864800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57 + -2?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = 1. Let c(h) = 16*h + h**r - 4*h**3 - 15*h + 3*h**3. Let d(w) = 2*w**3 - 2*w**2 - 3*w. Give 6*c(j) + 2*d(j).\nAnswer: -2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + s + 4*s + 13*s**2.\nAnswer: 13*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17740 divided by -8870\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g + 25*g - 8*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 129*m**2.\nAnswer: -129*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1)*((-10)\/4 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2030043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 828\/(-138) - (58\/10)\/(-1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 2:09 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -814 - 2362 = 2*x - 2*h, -5*x = 2*h + 7912. Let z = x + 12629\/8. Find the common denominator of -73\/18 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.47246386 rounded to 1 dp?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17149 - -12255. Is -4894 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -238 - -241. Suppose 5*m + 0*m = -c + 13, -9 = d*c - m. Is c less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 178, 0, -5, 70, -4 in descending order.\nAnswer: 178, 70, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(2\/(-6)*3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212977 is divided by 230?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*n + 3*n + 2*n)*(-n + n - n + (-3 + 0 + 2)*(2*n - 2*n + 3*n)) in the form q*n**2 + w*n + c and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 57*c**2 + 20*c - 15. Let a(b) = -169*b**2 - 63*b + 44. Calculate -6*a(p) - 19*q(p).\nAnswer: -69*p**2 - 2*p + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.7248 - -0.1752. What is the second smallest value in -0.4, u, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11193255 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3364924*l**2 + 13459708*l - 48 = 0.\nAnswer: 3\/841231, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**2\/2 + 1. Let r(o) = 4 - 5*o + 2*o + 2*o. Let b(g) = -2*g + 7. Let h(k) = 4*b(k) - 7*r(k). Calculate x(h(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**4\/4 + g**3 + 7*g**2\/2 + 3*g - 23. Let w be r(4). Solve -3*c + w = -0*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27427, -51123, -74819?\n\"Answer: -23696*p - 3731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -2070.\nAnswer: 2066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100 + -10?\nAnswer: 10110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**13\/(o\/(o\/o**(13\/4))) assuming o is positive.\nAnswer: o**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4 = 0, -3*u = 3*p - 5 + 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -345 - 2232105?\nAnswer: -2232454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043879 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 1. Let y(l) = -3*l. Let q be (3 + -1)\/((-19)\/(-38)). Let v(i) = q*w(i) + 3*y(i). Determine v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*w**3 - 179764*w**2 - 2909288*w + 3088960 = 0. What is w?\nAnswer: -392\/23, 1, 1970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 y when four letters picked without replacement from yyyyxx.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 365300.1 decades in months?\nAnswer: 43836012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45\/8? (a) 2\/3 (b) -5 (c) -2\/19 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 35*j**4\/4 + 25*j**2\/2 - j + 75. Differentiate y(d) wrt d.\nAnswer: 210*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/24*9)\/(((-336)\/(-120))\/(24\/(-45)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 24. Let h(v) = v**3 - 10*v**2 - 2*v + 10. Let i be h(10). Let y = 31 + i. What is the remainder when y is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.2 and 0.13463.\nAnswer: -1.238596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*y - 31*y + 51665 + y**2 - 4*y**4 - 51663 to g*y**2 + u*y**4 + j*y + q + a*y**3 and give j.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 6*y**2 - 3*y - 7. Let s be x(5). What is the tens digit of s + (2 - -4 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2*sqrt(539) + sqrt(539) + -1*(-1 + sqrt(539)))**2*-1 + 3)*1.\nAnswer: -2153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1194 + -1194. Suppose 8*y - 5*y - 9 = 0. Suppose y*c + c - 88 = n. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 - -121. Let u be -1 + (9 - 0 - s). Let h be 2\/8 - (u - (-115)\/(-20)). Solve -2*y + 5 = 3*y + 5*a, -1 = h*y + 5*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - k + 1)*(-24378*k + 72452*k + 20488*k) to the form u + a*k + p*k**2 and give p.\nAnswer: -68562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 66*q - 5920. Let u be d(90). Solve -6*s = -16 - u for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) 0.06 (c) 3\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 236 = 3*m, -5*j + 4*m = -25 - 232. Let t(u) = 30*u - j*u + 22*u. Let g(v) = 3*v + 4*v - 4*v. What is g(t(p))?\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2 - 28702*i - 269006 wrt i.\nAnswer: 4*i - 28702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-39)\/(-9))*45\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845942 + 62919472?\nAnswer: 64765414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and -2101460417.5915?\nAnswer: 2101460424.5915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1025\/150 - 7 - (-545)\/(-150)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30016181 to the nearest integer?\nAnswer: 5479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -367, -1417, -3167, -5617, -8767, -12617, -17167?\n\"Answer: -350*x**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -3 (c) -2\/13 (d) 0.4 (e) 0.27 (f) 2 (g) -0.13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 7*u - 228. Suppose l + 2 + 3 = 0, 0 = 2*k - l + 19. Let c be k\/(-66) - 414\/(-22). What is the greatest common factor of c and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 205\/(-10)*(-19)\/4. Is 97 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 8, 10 in decreasing order.\nAnswer: 10, 8, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 4169\nAnswer: 4169.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 12:17 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 2. Let d be s(-4). Suppose 0*i - 5*i - 75 = -5*n, 2*n + 5*i = -5. What is the greatest common factor of n and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1549*j - 2*j**2 + 1490*j + 352*j - 3*j**4 - 556*j**3 + 602*j**3 wrt j.\nAnswer: -36*j**2 + 276*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25655 rounded to 3 dps?\nAnswer: -0.257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4545 + -2730. Let z = -7278.329 - n. Round z to 1 dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 20348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 412 = 127. Calculate the remainder when k is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -7. Suppose -4*c + 3*g + 3 = 15, 2*g - z = -5*c. Is (c + -1780)\/(-4) - -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*s - 33, 5*k - k = -3*s - 15. Calculate the common denominator of -83\/10 and (2\/s)\/((-2)\/(-37)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 + -126. Let z be x\/10 - (-6)\/(-15). Suppose 2*g = -b + z, -g + 2*b - 4 = -0*b. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 13. Let a be i(-7). Suppose -3*z = a - 21. Suppose 5*h - z*n - 1920 = 0, 0 = 5*h + 2*n + 462 - 2417. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 - 2 = 0. Suppose -2*d + 13 = -0*m + 5*m, q*d - 2*m = -11. What is the units digit of d\/(2\/30)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + (-1 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 - -346. Let m = -174 + b. Which is smaller: 18\/61 or m?\nAnswer: 18\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37251727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**4\/12 + w + 9. Let o(k) = -18*k**2. Calculate o(l(q)).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1849, -1377, -591, 509, 1923, 3651, 5693?\n\"Answer: 157*f**2 + f - 2007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 - 12177984*f\/5 - 12177982\/5.\nAnswer: -2*(f + 1)*(f + 6088991)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3747*s + 1787*s + 12 + 6*s**2 + 1960*s.\nAnswer: 6*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267.0891 months to years.\nAnswer: 22.257425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 0, n = h - 2 + 8. Let s = 2 + 1. Solve n = -v + s*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*b - 3*j - 7, 2*b + 20 = -6*j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b64 - 2?\nAnswer: 2b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y - 4 + 4)*(1 - 1172*y**2 + 595*y**2 - 1245*y**2) in the form t*y + l*y**2 + o + x*y**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 322577 = 37*u - 40*u, -4*n = -u + 107499. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*c = 55*c. Suppose 4*b - 13*b + 1179 = c. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 2. Let o(d) = 5*d**2 + d - 9. Let l be (-5)\/2*18\/(-5). Let v(x) = l*b(x) + 2*o(x). Factor v(a).\nAnswer: a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -9) + (-11 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrquqd. What is prob of picking 1 r and 2 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 6, 26, -44, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 4)\/((-1)\/3). Suppose 5*s - 5 = -w + 14, -g*w = -s - 25. Let v = 154 + w. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 10*w - 12.\nAnswer: 2*(w - 6)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3 + 894*m**2 - 266412*m + 26463592 = 0.\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 241 + -235. Is (y + 3219\/(-6))*(-10)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.90949 * -0.0621.\nAnswer: 0.118579329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 (base 9) in base 13?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15536*v + 15575*v = -390 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73652.25 litres in millilitres?\nAnswer: 73652250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 12. Let k(q) = q - 6. Let y be k(6). Does 12 divide n(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - o**2 + 2 + 7*o**2 - o**3 - 4*o. Suppose 3*a - 1 = -4*t, 4*t = 3*a - a + 26. Let w(p) = p**3 + 4*p**2 - 6*p - 2. Let k be w(a). Give m(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 423626\/(-35) + 3\/5. Let g be (-8)\/(-4) + (p - -1). What is g rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-40))\/(5\/(-8))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 531 = -2*x, 0 = -4*x + 9*x - 2*l + 1311. Let h = x + 184. Let t = -40 - h. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2 (c) 2\/9 (d) 3\/4 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/18*-2*3. Let s(m) = 0 - m - 1 + 1. Let y be s(d). Sort 2, y, 3.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 11. What is the nearest to -0.1 in -0.4, 2, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 4*x + 21 = 0, 4*x + 199 - 214 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 18*a**2 - 88*a - 606. Determine n(-8).\nAnswer: 1250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g**4 - 3573*g**3 + 60372*g**2 + 42180*g - 512064 = 0.\nAnswer: -254, -3, 14\/5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145 - 143. What are the prime factors of (p + 3)\/10 - (-1282)\/4?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-11) - (-1275)\/187 - (-615)\/(-90).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9588, -19171, -28754, -38337?\n\"Answer: -9583*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/2 - 11079*k**2\/2 + 15395520*k - 290518550 = 0.\nAnswer: 19, 5530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = z - 3*u, -z + 259 = 3*u - 66. Let g = -279 - z. What is the common denominator of g\/1292 + 2\/8 and -111\/10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/4)\/((39116\/176)\/127).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + t - t + 2*t**3 - 3*t**3.\nAnswer: -t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -41378*x - 248271. What is t(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + 179. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - (8 + -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 9*h - 5. Let d(i) = i**2 - 14*i - 7. Give 7*a(m) - 5*d(m).\nAnswer: 2*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7032.5 decades?\nAnswer: 70.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -193 - -908. What is the greatest common divisor of d and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42542.\nAnswer: 2, 89, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s - 4 = 0. Let h be s + (-4)\/(-1) + -2. Suppose -3*c + h*w = -39, 4*w - 5*w - 21 = -2*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5153123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9372 - 0.07077?\nAnswer: -3.00797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9689 + -9560. What is the highest common factor of 5805 and h?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 9 = 5*w, 3*s = 2*w - 6*w - 7. Let j(x) = -x**2 - x + 1. Let i(c) = 176*c**2 - 5*c - 182*c**2 + 7 - 3. Give w*i(f) + 4*j(f).\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -7, -15, -25, -37?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.3 - 14.3. Let n = -0.02 - -4.02. What is the biggest value in 0.4, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/(11\/22) - -1. Suppose 0 = -3*n + 3, -2*x + 3*n - 4*n + 1467 = y. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 280 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 2*b + 14. Determine n(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:15 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 27*l**2 - l - 20. Let n be p(-27). What is the derivative of n*k**2 + 3 + 0 - 35*k**2 - 7*k**2 wrt k?\nAnswer: -70*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7 + 45180*y**3 + 3 - 44386*y**3 - 2 + 11*y**2 wrt y.\nAnswer: 4764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2344*s**6*x + s**6 - 64*s**2*x - 8*s**2 + 23*s + 3*x wrt s.\nAnswer: -281280*s**3*x + 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15.1, 6, 7\/55, -0.4, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -5921*z**6\/120 + 6317*z**5\/60 + 5372*z**2. What is the third derivative of m(f) wrt f?\nAnswer: -35526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38564578.\nAnswer: 2, 13, 1483253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -265352 * 0.12.\nAnswer: -31842.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 249 - 244. Suppose f*w - 7*w = 7294. Round w to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4755 = 26*m - 5015 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65515 divided by 5.\nAnswer: -13103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61666628.\nAnswer: 2, 19, 127, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 10*x - 300 = 0. Calculate the highest common factor of x and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24\/7*s**4 - 48\/7*s**2 + 3\/7*s**5 + 0 + 15\/7*s + 54\/7*s**3 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 - -59.92. Let s = v - 1. Let k = s - -0.07913. What is k rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**3 - 4*i - 21. Let o be s(7). Suppose 495 = -r - 4*n + o, -3*r + 5*n = -3428. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/1836, -5, 76?\nAnswer: -5\/1836","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 89*m - 39*m = -252. Let o be (18\/(-8))\/((-3)\/16). Calculate the smallest common multiple of 4\/(-5)*(-30)\/o and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-84)\/(-18))\/((-4)\/(-6)). Let t = 12 + r. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)\/j**1)\/(j**(-5)\/(j**(-4\/3)*j)) assuming j is positive.\nAnswer: j**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 24. Solve -2*w - o = -7*k + 3*k, -2*k + 20 = -4*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 + 11 = 0. What is the units digit of 3\/5 + (-2 - (-1664)\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Suppose -5*c = -g*r + 175, -5*r + 5*c - 152 = -437. What is the remainder when r is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z - 1. Let b(w) = -1. Determine 2*b(n) - m(n).\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 9, -1, -1\/7, 0.124?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4767586 to the power of 1\/2, to the nearest integer?\nAnswer: 2183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -237 - -468. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c88397 - -4?\nAnswer: c8839b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649*q**2 + 2*q - 161*q**2 + q - 3*q.\nAnswer: 488*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, 1\/3, -5910, -1, 0.1?\nAnswer: -5910","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + (22 - -53) + -6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278587 is divided by 5676?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812695 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*t**2 + 0 + 3*t**3 - t**2 - 2*t**3 in the form c*t + v + w*t**3 + s*t**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130113 + -1003221002?\nAnswer: -1010011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(((-504)\/(-756))\/(0 + 4\/(-42)) + 8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (574 - 848 + 551 + 2543 - 906)*(-2*u**5 - u**5 + 0*u**5).\nAnswer: -5742*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(5*(-104)\/(-80)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 3 - (0 - (1 + 17)). Let k be ((-3)\/(-6))\/((14\/n)\/7). Solve 2*q + 3*q - k = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15637.\nAnswer: 19, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m + 633*m**3 + 8 + 7 - 22 + 6 + 132*m**3 as c*m**2 + p + f*m + w*m**3 and give w.\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*r + 1 = 22, -2*r = -3*h + 5. What is the third derivative of -3*j**4 + 6*j**4 - h*j**2 + j**4 wrt j?\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 25. Let n be 4 + 0 - (-7 + 7). Let a be ((-2)\/n)\/(1\/(-16)). Solve 3*r = a*r - 3*p - 18, -4*p = h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -0.025, -1, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4\/4 - 7*q**3\/6 + 11*q**2\/2 - 3771*q. Determine i(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -90*c**3 - 2*c**2 - 3*c - 2. Suppose 5*l - 11 - 4 = 5*a, 2*l - 18 = 5*a. Let y be r(l). Suppose 86*m + 153 = y*m. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-28 - (-6096)\/216).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-228)\/(-528) - 2\/11. Let n = -41 + 36. Which is the second biggest value? (a) -4 (b) n (c) 2\/15 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 1. Let u be ((-2)\/4)\/((-3)\/(-6)). Let w be g(u). Suppose -3*a + w = -9. Solve p - 21 + 10 = 3*m, 0 = m - a*p + 17 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 7:22 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4119 - 4115. Solve 17*o = 13*o + w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -11*x**2 - 2*x - 13. Let s(u) = -u**2 + u + 3. What is -a(q) + s(q)?\nAnswer: 10*q**2 + 3*q + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**3\/6 + q**2 + 2*q. Let h(d) = -d**3 + 12*d**2 - 2*d + 18. Let w be h(12). List the prime factors of x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -236, -230, -218, -200, -176?\n\"Answer: 3*w**2 - 3*w - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5144393 = 523*w - 60*w. List the prime factors of w.\nAnswer: 41, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3 - 77456*x**2 - 154888*x + 619616 = 0.\nAnswer: -38726, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 15*q - 22. What is the remainder when 32 is divided by s(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - 5*p - 3149 - 3144 + 6283.\nAnswer: 3*p - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -695*p = 890*p + 28184 - 20453 + 30309 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 645 + -13641?\nAnswer: -12663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/6*(-3 + 0). Let n be -2 + (-1 - y\/6). Let d = 3 - 3.3. What is the biggest value in -5\/6, d, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w - 21 + 311 = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 2*x - 25, -284 = 4*j - 5*x - 304 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(3 - (-7 - -4)). Let p be 10\/6 + (-2)\/y. Solve p*r**4 - 2*r**2 - 14*r**2 - 9*r + 12 + 17*r - 8*r**3 + 2*r**4 = 0 for r.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -83388013\nAnswer: 83388013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88*n*t**2 + 15*n*t + 27*n - 277957*t**3 + t + 1602 wrt t.\nAnswer: -176*n - 1667742*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33430 divided by 3\nAnswer: -33430\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c - 10. Let n(m) be the first derivative of -5*m**2\/2 + 8*m - 2. Let y be n(3). Does 16 divide z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*h + 3*h + 8 = 0, -p + 16 = 5*h. Let i(b) = -b**2 + 9*b. Let w be i(p). What is the greatest common divisor of 162 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1072 - 4*d**3 + 1072.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3544946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821 < 1819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/408735 and 94\/3731355.\nAnswer: 115672005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 947872, 3791494, 8530864, 15165982?\n\"Answer: 947874*p**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 18*t**2 + 830*t + 4477. Let f be n(-5). What is c in 48\/19 + 2\/19*c**f + 28\/19*c = 0?\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 11*t - 15. Let r be d(-9). Suppose r*k - k = 6. Factor -4*u**k + 3*u**2 - 2*u**3 - u**2 - u + 5*u**3.\nAnswer: -u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3742.04 + -55.96. Let d = -3793.678 - c. Round d to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -410 divided by 369\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -26*m**2 - 36*m. Let z be t(-1). What is the highest common divisor of 4 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by -4 + (-14)\/(-1) + ((-117)\/(-9) - 15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16869*l**4 + 42818?\nAnswer: 67476*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -249\/5 + 50. Solve 0 - 2\/5*l + w*l**2 = 0 for l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*m + 6. Suppose 159*x - 42 = 152*x. Let g(u) = -u**3 - x*u**2 + 7 - u**2 + 4*u + 2*u + 2*u**m. Determine g(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -113*p + 4. Let q(i) = -225*i + 10. Give 5*b(a) - 2*q(a).\nAnswer: -115*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.053 - 34.053. Let s = 163006.199955 - 162973.2. Let f = b + s. Round f to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 389, 323, 229, 113, -19, -161, -307?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 57*h - 165. Calculate j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i + 56*i = -55*i - 61*i. Factor 0*n**2 + 0*n + i - 1\/3*n**4 + 0*n**3.\nAnswer: -n**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ef + -325?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 434 and 7606109.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 10) to base 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -818, -1949, -3360, -5051, -7022, -9273?\nAnswer: -11804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.518818 minutes?\nAnswer: 391.12908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 18 = 66. Let f = t + 25. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35898134.\nAnswer: 2, 61, 294247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295633808 + s**3 - 295633808.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2735, 5575, 8415?\nAnswer: 11255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.800063 - 1.8. Round t to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.0063 (c) -1\/2 (d) 247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1205075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -45, -114, -239, -438, -729, -1130?\nAnswer: -1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -64 in descending order.\nAnswer: 1, 0, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)\/(g\/(g\/((g**(2\/13)*g)\/g))))\/(g**0*g*g)**(-3\/13) assuming g is positive.\nAnswer: g**(-74\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487 - 487 + x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + 0*t**3 - t**3)*(1 - 1 + 2)*(-113*t**2 + 43*t**2 - 1 + 56*t**2).\nAnswer: 28*t**5 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -4270296 and -4270299 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 9*k - 1. Let c be 1*-5*(-120)\/(-75). Calculate p(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 5*c**2 - 2*c**2 + c**2. Let n(i) = 1041 - i**2 - 1041 - i**2 - 3*i**2. Calculate n(r(w)).\nAnswer: -80*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -3*o + 5*k - 1, -5*o + 4*k + 53 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1407, 5593, 12571, 22341, 34903, 50257, 68403?\nAnswer: 89341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2696, 5391, 8086?\n\"Answer: 2695*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 95 = -3. Calculate the highest common factor of 686 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9127 (b) -1\/2 (c) -6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*a - 7*a + 6*a + (2 - 2 - 1)*(-12*a + 6*a + 13*a) to z + i*a and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184756130.\nAnswer: 2, 5, 13, 113, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65686 - -65691. Let p = 3\/4 - 5\/4. Which is the nearest to p? (a) g (b) -2 (c) -0.8 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39900 and 402.\nAnswer: 2673300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*r + r - 21, -4*a - r + 17 = 0. Suppose 6*i - 423000 = a*i. Round i to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5943859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24782?\nAnswer: 2, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26962.\nAnswer: 2, 13, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4}. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16347 divided by -4?\nAnswer: 16347\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 19475260 to the nearest 100000.\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 6:45 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 - 51 = 0. Suppose 3*i + 5 = 2*r, 4*i + b = -3*r - 0*r. Let a = 23 + i. Calculate the smallest common multiple of a and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, p: 2, r: 1, o: 1, m: 3, f: 2}. What is prob of picking 1 m and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 14*g**3 + 9*g**2 - 3*g - 5. Let z be m(-4). Let f = -288 - z. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.003*6\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmf when three letters picked without replacement from mommogmfogmmoqqeo.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6228, -24928, -56096, -99732?\nAnswer: -155836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30139797, 30139799, 30139801, 30139803, 30139805, 30139807?\n\"Answer: 2*y + 30139795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 22 = 3*q - 14, -48 = -4*q - 4*g. Let m = 9 + q. What is the smallest common multiple of 30 and m?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45024 (base 7) to base 11.\nAnswer: -8577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 2*y + 1. Let q be (-2)\/(((-10)\/3)\/(-5)). What is the remainder when 7 is divided by k(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28, -33, -30, -19?\n\"Answer: 4*c**2 - 17*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = 1. Suppose 2*s - m = 4, 0*s + 5*m = g*s - 4. Solve q + s = -1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 1 (c) -4 (d) -2\/1451\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -23. Let n = -2 + 3. Suppose -k*v - n + 3 = 0. Calculate the remainder when v is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 2. Let g be -3 + 1 + -1 + 4. Let w be g\/((-1)\/2) - 0. Let m(d) = 5*d - 11. Let r(l) = w*m(l) - 11*s(l). Calculate r(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/7 (b) -1 (c) -3\/4 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 983 + -962. What is the greatest common divisor of 476 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 1.2. Let o = -183.3 - -121.4. Let b = o - -61.5. What is the nearest to x in 4, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6726382?\nAnswer: 2, 13, 258707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-5)\/(-75))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 21*x + 49. Let u be g(-23). Suppose -u*c - 6*c + 1323 = 0. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m - 6. Determine f(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 12*t**2 - 14*t - 14. Let m be k(11). Suppose -66 = -6*f + m. Calculate the greatest common divisor of 25 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*s + 53453 + 21487, 0 = -2*o - 2*s + 37452. What is o rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)*j*j)\/j)**(6\/11)*(j\/((((j**1\/j*j)\/j)\/j)\/j))**49*(j**(-2))**(-25\/4)\/(j*j**(3\/2)*j*j**(-7)) assuming j is positive.\nAnswer: j**163","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**3 - 3*y**2 + 3*y - 7. What are the prime factors of n(-4)?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -6*z + 6. Let m be (z\/2)\/(-3)*-15. Suppose 5*n = 2*p + 21, 7*p = 2*p + m*n - 15. Sort 4, 1, p.\nAnswer: 1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34*-10*(-4)\/(-10). Let p = m + 216. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 135, 237, 377, 555?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:17 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -250*p**5 - 70300*p**4 + 56400*p**3 - 32*p**2 - 45088*p\/5 + 9024\/5 = 0. Calculate p.\nAnswer: -282, -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 + 2*d**3 + d - 4*d**3 to s*d**3 + m*d**2 + w + u*d and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*h + 11 = 4*m, -4*h = -3*m - 7. Suppose m*u = 3*d + 1527, 14*u + d = 13*u + 519. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 831125 rounded to the nearest one thousand?\nAnswer: 831000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**6\/3 - 14*q**5\/5 - 11*q**4\/2 - 10*q**3\/3 + 1017. What is u in g(u) = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 13 - 7. Let y = s - -35. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -113089624201 and 0.0687.\nAnswer: -113089624200.9313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h**3 - h**2)*(41*h - 40*h - 43*h - 38*h + 72*h - 34*h).\nAnswer: 42*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*1*(sqrt(280)\/(5*sqrt(7) + sqrt(7)))\/(sqrt(8) - -1*(sqrt(8) + sqrt(32))).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-675)\/100*(-380)\/(-171)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21\/8 - -123\/56. Suppose 0 = 2*v - 0*v + 2. Which is the closest to v? (a) n (b) 6\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13865.9 - -167.1\nAnswer: 14033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 3:41 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 553, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + n + 62714*n**3 - 58774*n**3.\nAnswer: 3940*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + -1*((sqrt(1377) - sqrt(1377)*1 - sqrt(1377)) + sqrt(17))*-1 + 3)**2.\nAnswer: -1152 + 128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/9)\/(8\/2)*-6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1460 and -61\/35770.\nAnswer: 71540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*x - 60, x + 0 = -2*a + 1. What is the greatest common divisor of x and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3468*j**3 - 3647*j**2 wrt j?\nAnswer: 20808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*p - 6. Suppose -2*m - 5*j + 11 = -5*m, -2*m = j - 10. What is the remainder when 26 is divided by 9\/m*(5 + p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-2)\/(-1)) - (-8)\/(-24). Put 8, -0.2, l in descending order.\nAnswer: 8, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)*-1)\/(sqrt(3) + sqrt(9)\/sqrt(3)*-6) - (-1*sqrt(1701) + sqrt(21))\/(-3*sqrt(7)*2).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -1.2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*16\/320?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, c: 7, i: 3}. Give prob of picking 1 c and 1 g.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(200) + -2))**2.\nAnswer: -1440*sqrt(2) + 7344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**3 - a**2 + 6*a + 2. Let q(b) = -b**3 + b + 1. Let r(g) = 2*q(g) - x(g). Let l be 3\/(-9) + 38\/6. Suppose 0 - l = 2*m. Give r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 6 - 4. Suppose 3*y - 112 = -y. Let a be 1*(-6 - -3) + y. Calculate the greatest common divisor of z and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1094.1 and -361.645.\nAnswer: -1455.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.1875 years in decades?\nAnswer: 3.41875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(343) + (sqrt(343) - sqrt(343)*3))*-4)**2 - (3*2*(-2 + sqrt(343)))**2.\nAnswer: 1008*sqrt(7) + 9460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.662 - -2.567. Which is the third smallest value? (a) 8 (b) 0.1 (c) -2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 13*f**2 - 1 - 2*f + 15*f**2)*(f + f - 4*f) to j*f**2 + s*f**3 + g*f + u and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1. Let h be -1 - (-1 + r) - 15700001. What is h rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36169 rounded to two decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44156640 divided by 275979.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2 + (-25)\/13). Suppose a = y + 3, 0*y - 2*y = 5*a + h. Let n = a - -35. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2*b**4 - 3*a**2 - 4*a*b**2 + 52*a*b + 6*b**4 wrt b.\nAnswer: 24*a**2*b + 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8779, 2\/1533 in increasing order.\nAnswer: 2\/1533, 5, 8779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {c: 4, r: 3, m: 1, o: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:59 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.77 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -7*q + 48. Let a be (652\/6)\/(8\/q). Suppose n = -y + 40, y + a = 4*n + 6*y. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -334, 86021?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4057 (base 16) to base 15.\nAnswer: 4d31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 1:36 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.1. Let f = 0.7 + 0.3. Let l = 1907 - 1906. Which is the nearest to l? (a) 4 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 41*a - 980 + 1135 = 0, -4*a + 2 = -3*l - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**4\/8 - 3*h**3\/8 + 9*h**2\/4 - h\/2 - 3 = 0?\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 36 = 6*y. Suppose -2*d + y*d - 7 = 0. Let j be (-1004)\/(-64)*4 - (-1)\/4. What is the highest common factor of j and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1425199254 and 0.3?\nAnswer: 0.1574800746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-84))\/((-4376)\/7658)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 449653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 92\/(-20) - (-2)\/(-5). Let d be 2\/u - 20\/(-50). Suppose 3*x - 4*h = -d*x - 610, -h - 215 = x. Round x to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4}. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + 0*h + 3*h - 2*h to the form l*h + p and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-10)*3)\/(28\/(-1750)). Let w = -102 + k. Put -2, 5, w, -5 in increasing order.\nAnswer: w, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Suppose -2*v + 58 = 5*l, -5*l + 97 = -v + 4*v. Let o = v + -15. Calculate the highest common factor of o and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 998 = 4*r + 1018, f - 4 = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20013113 - 50?\nAnswer: -20013203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-158823\nAnswer: 63529.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b - -b?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.47782 millennia?\nAnswer: 29733.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 + 3396*u**3 + 242336*u**2 - 757680*u.\nAnswer: 4*u*(u - 3)*(u + 82)*(u + 770)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -36e58?\nAnswer: -36e61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 14*p - 8. Let j(z) = z - 1. Let b(k) be the third derivative of k**4\/24 + k**3\/6 - 9*k**2. Let o(h) = -b(h) - 4*j(h). Give -6*m(i) - 17*o(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1781877 + -85?\nAnswer: 1781782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from zozbuoooozozeouozzo?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -366225015 less than or equal to -366225016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 4*u**5\/15 - u**4\/12 + u**3\/3 - 2*u**2 + 1. Is 7 a factor of d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -adbe + -b6?\nAnswer: -ae85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6176118062 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehebhddk. Give prob of sequence dhe.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -10. Suppose 40 = 4*d + 2*o, -7*d + 3*d + j*o + 40 = 0. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4bb (base 16) to base 8\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6e8ab - 4f?\nAnswer: -6e8fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*v + 332*v + 32708 = 503*v for v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 117d2 - 3e?\nAnswer: 11793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.12 - -5.42. What is the second biggest value in -3, -24.1, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7380\/(-8)*4\/(-3). Suppose 11*q - 1751 = g. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 108\/(-24) - 1\/(-2). Suppose -10 = -4*v + 3*w + 7, 2*w = -v - 4. Put v, q, 1 in descending order.\nAnswer: v, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 + -2)\/(32\/11) and 31\/(16740\/1143) + (-12)\/10.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -8 + 13 + -5 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -11*p**7\/105 - p**5\/4 - 4*p**2 + 24. Let i(r) be the second derivative of w(r). Find the third derivative of i(c) wrt c.\nAnswer: -528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24\/(-204) + 30963\/51?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -73.01. Let k = -0.01 + o. Let s = -3.999994 + k. Round s to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w**3 + 18*w**2 - 229*w + 90. Let c(g) = -11*g**3 - 19*g**2 + 255*g - 90. Let z(p) = 2*c(p) + 3*f(p). Determine q, given that z(q) = 0.\nAnswer: -5, 6\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 2*g - 1. Let f be a(2). Suppose f*u + 29 = 8. Let n = -2 - u. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxdrdrjdjxr. Give prob of sequence rrxx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146228 is divided by 578.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5531, -5665, -5799, -5933?\nAnswer: -6067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/3 + -2. Let b = 0.4 + -0.38. Put y, b, 0 in decreasing order.\nAnswer: y, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -547.37 + 105.17. Is o smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 62 - 5 - (-4)\/2. Let h = v + -24. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*y - 35 = -2*y, 0 = 5*l - 4*y - 17. Let j be (2012\/16)\/1 - -2. Let u = 127 - j. What is the third smallest value in 0.02, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/3 + 4052*o**3 - 819802*o**2\/3 + 4893592*o - 8726520 = 0.\nAnswer: 2, 33, 6010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3\/(-12)*2*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 352967894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 12 = -3*l, 9*u + 7*u + 2*l - 106 = 7*u - 12*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 74876830 divided by 2\nAnswer: 37438415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-3))\/(-4) - 1. Let x be ((-16)\/(-20) - r)*-565. Let b be x\/(-14) + 4\/(-14). Calculate the greatest common divisor of 128 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3053055*z**4 + 2*z**2 - 36750*z - 8 wrt z.\nAnswer: -73273320*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)\/z)**(1\/18))**(-2\/29) assuming z is positive.\nAnswer: z**(5\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r. Let b(i) = 3*i + 3 + 5*i + 2 - 6*i. Let x(m) = m + 2. Let z(f) = 2*b(f) - 5*x(f). Calculate z(y(s)).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5498*w + 494. Let q(p) = 611*p - 53. What is 3*f(z) + 28*q(z)?\nAnswer: 614*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 4*f - f)*(3*f**2 - 4*f**2 + 0*f**2) + (1 - 2*f - 1)*(3*f**2 + 3*f**2 - 5*f**2) - 1 + 1 + f**3 - 7*f**3 + 7*f**3 - 13*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c54 - 1862?\nAnswer: -90b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2372 + -0.5372. Sort 1\/7, t, -28 in descending order.\nAnswer: 1\/7, t, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -3*s**5\/10 + 23*s**4\/24 + s**3 + 12*s**2 - 7*s. Let f(w) be the first derivative of o(w). Find a such that f(a) = 0.\nAnswer: -2\/9, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 - -88. Solve 3*r + 5*o - 2 = 0, r = q*r + 3*o + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 826480930 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, 3, 76, 235, 510, 931?\n\"Answer: 5*n**3 - 2*n**2 - 12*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 154 = -9*g. What is the greatest common factor of g and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430 + 146 + 143 + 405*p + 141.\nAnswer: 405*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2288 and 18248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + 0.068. Let w = -0.28 + v. Round w to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 - -107. Solve 0 = -2*s + 2*o - 12, -2 = -0*s - 2*s - w*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1515*n + 44*n**2 + 3024*n - 1526*n to the form h + v*n + k*n**2 and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - 2. Let d be (-72)\/10 - 5\/(-25). Is 4 a factor of a(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 197 = 1618. Suppose -2*s = 4*z - 1402, 4*z + 5*s - 788 = o. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 3508536*h\/5.\nAnswer: 2*h*(h - 1754268)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859367 is divided by 77444?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 - 29 - 59*c)*(4 - 2 - 6) as v*c + z and give v.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + p = 3623, -2*v + 3*p + 2*p = 1807. Let b be (3\/2)\/(3\/(-7256)). Is 2\/(b\/v - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 62, 52, 36, 14, -14, -48?\n\"Answer: -3*j**2 - j + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*q - 1 = 0, -3*g + 14 = -g - 4*q. Suppose g*h + 50 = 8*h. Suppose h*t - 129 = 7*t. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnqlqqnqqqll. What is prob of picking 2 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-1\/7))*h*h)**(8\/3))**(2\/13) assuming h is positive.\nAnswer: h**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 454 = -0*o + 3*x, 3 = x. Let d be 8\/52 - o\/13. Let z = 10 - d. Solve z*h + 0*h - 9 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*21*(-12)\/(-504)*(-1)\/(54\/(-10)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a tonne in kilograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -32747, -3, -167 in descending order.\nAnswer: -3, -167, -32747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*y - 169, -813 = -2*b + 7*b - 4*y. Let o = 109 - b. Let w = -159 + o. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*j**3 - 1\/2*j - 7\/4*j**2 + 0.\nAnswer: -j*(2*j + 1)*(3*j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -52325\nAnswer: -12\/52325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4224676.\nAnswer: 2, 1056169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*g - 111985 = 0, -1066*w = -1062*w - 2*g - 89580. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 62.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + w - 1. Let x(o) be the second derivative of o**5\/20 - o**4\/2 - o**3 + 3*o**2 + 5*o. Let d(a) = -6*v(a) - x(a). Give d(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**3 + 4*j**2 - 20613*j - 226697?\nAnswer: 3*j**2 + 8*j - 20613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**3 + 2889148*c**2 + 11556540*c + 8667396 = 0. What is c?\nAnswer: -722283, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 158, -5, -8, 11492, -4\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2560 or 6589?\nAnswer: 6589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(33\/11)*-5*(-4)\/(-100)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 217, 128, 39, -50?\n\"Answer: -89*c + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 40*y.\nAnswer: 4*y*(y - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 5:36 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90896 = -1415*x + 225*x - 558*x for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - 0 - -16)\/2. Suppose -4*p + 4 = -4*m, -u*m + 1 = -m - 3*p. Factor 0*s**2 - s**3 - s**m + 0*s**2.\nAnswer: -s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-413)\/(-1197) + 1\/(-3). Is 0 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18056 by -74.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1960*a**2 + 3 - 2049*a**2 - a + 3166*a**2.\nAnswer: -843*a**2 - a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-7) + (-410)\/3850. Let o be ((-2)\/(-3))\/(-7 - 196\/(-21)). Which is the second smallest value? (a) 3 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642806328.\nAnswer: 2, 3, 19, 31, 37, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) - (sqrt(224) + sqrt(224)*3)) + sqrt(224))\/(-1*(sqrt(2)*1 - sqrt(2)) + sqrt(2))*5.\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 = -24*m - 502 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**3 + 4*t**2 + 13*t - 4. Let h(v) = -3*v**3 + 5*v**2 + 12*v - 5. Let b(g) = 3*h(g) - 2*n(g). Let s be b(8). Solve -1 = 2*l + s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28646717366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 46, 4\/7, 48, -2\/11, 1, -0.05?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m**2 - 3*m - 19. Let l(u) = 8*u - 32*u**2 + 57 - 8*u**2 + 0*u**2 + 2*u**2. Let d(b) = 8*a(b) + 3*l(b). Differentiate d(f) wrt f.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -45, 16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 11 = 4*q, -3*b - b = -3*q + 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpopokmppooymmo. What is prob of sequence pyo?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1299 or 6494\/5?\nAnswer: 6494\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**4\/4 + 3*y**3 + 33*y**2\/2 - 4*y - 80. Does 4 divide h(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1270859 (base 13) to base 11\nAnswer: 3291715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -236057 = -236056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56\/3 + -19. Let z be (-37)\/(-74)*(1 + -2). Which is the closest to r? (a) 0 (b) -9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66*11\/3630*2\/(6\/255).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(784))\/sqrt(7) + 1*((sqrt(7) - sqrt(21)\/sqrt(3))*2 + sqrt(7)).\nAnswer: 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v + 1. Let b(q) = -7*q - 2. What is -2*b(i) - 5*h(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - 2*p**2 + 2*p**2 + (-4*p + 0*p + 2*p)*(-1 + 2*p**2 + 1) - 4 + 2*p**3 + 4 + (14*p - 43*p + 17*p)*(-2*p + 2*p + p**2) - 10*p**3 - 5*p**3 - 4*p**3.\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*l - 12, -4*l - 8 = -3*p - 3*l. Suppose p*v + 3*v = 20. Solve 0*w + v = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Suppose b + h*b - 12 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Suppose 3*u = 3*c - 18, 5*u - 33 = -4*c - q*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -181849110 rounded to the nearest 1000000?\nAnswer: -182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13981 + 17363. Calculate the highest common divisor of q and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a - -d9?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*o - x - 691, -3*x = -2*o - 709. Let r = 3142\/9 + o. Let t(w) = -16*w - 187. Calculate the common denominator of r and t(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93479.02 microseconds in milliseconds?\nAnswer: 93.47902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 10 = 2*s - 8, -t + s - 5 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 + 0 - 1 + 0 + 3 + (2 - 2 + 1)*(-1 + 0 + 0) - 3 - 1 + 3)*(-h + 0*h - h).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95.1 + -92. Let b = f - 2.72. Let s = b - 0.78. Is -2\/7 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 27.1. Let o = l - -4. Let x = 1.7 - 3.7. Does o = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 6 = m + k, -3*k + 31 = -2*m. Let c = m - -24. Suppose 5*u + 10 = 0, 4*u - 3 + 25 = v. What is the greatest common factor of v and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1 = 2*p + 3, 4*p = -z - 8. Let b(u) = 2*u + 11. Let j be b(-10). What is the second smallest value in p, 0.4, 3, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 10. Let j be q(-8). Suppose -j*i = i - 6. Let 2\/9*x**i + 0 - 2\/9*x = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 89802 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 2*i - 65 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 < 267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12694 + -63474\/5. What is the second biggest value in -18\/5, j, -2, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + 30*r**2 + 15*r + 64. Let n be v(-13). Solve -n + 542 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-four fifths of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1453, -2905, -4357, -5809, -7261, -8713?\n\"Answer: -1452*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1048 divide 49146175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*j = -177*j - 306. Let p be 2\/((j\/(-12))\/(-3)). Are p and 1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*((-7)\/(-4))\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121 + -100.44. Let d = 20 - u. What is d rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -22*x**2 - 1. Calculate z(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c9448a - -3?\nAnswer: c94490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w = 120. Let q = -65 + w. What is the units digit of (-2)\/(-7) - 95\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 + (-10)\/((-110)\/143). Let u be -1*(1 - 0) - -5. Suppose 7*w - 4*b + 17 = 4*w, 5*b = -z*w + u. Let s(a) = a**2 + 3. Determine s(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-9)\/12*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - (4 - 3)\/(2\/(-138)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14417\/142 + -203\/2. Let f = -3770 + 3769. Which is greater: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139 + 4. List the prime factors of j.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 5 + 3 + 12*k**3 + 1.\nAnswer: 10*k**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 2*o**4\/3 - o - 142. Let b(l) = 33*l. Determine b(y(r)).\nAnswer: 264*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**3 - 6*t**2 + 22*t + 32. Let d(z) = 5*z**3 - 7*z**2 + 21*z + 31. Let f(y) = 4*d(y) - 3*x(y). What is the hundreds digit of f(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-1)\/6 - 98\/(-12)) + (-2520)\/(-360)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 10:17 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1286)\/(-10) + 3\/(-5). Suppose 12*j - 14*j + f = 0. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 323844 or 323851?\nAnswer: 323844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2724157.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 2, f: 1, v: 1, w: 1, i: 1}. Give prob of picking 1 s and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 30 (b) -1.2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6041959 is divided by 64967.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -386, -774, -1162?\n\"Answer: -388*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 + 361\/4. Let m be ((-91)\/(-28))\/(3\/12). Suppose 5*f - 13 = -4*c + 6, -4*c - 3*f + m = 0. Which is smaller: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290010 is divided by 145003.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 8\/4)\/1. Let a(y) be the second derivative of -y**5\/5 - y**4\/12 + y**3\/6 + y**2 + 19*y. Let o be a(p). Solve o*x - 3*x = 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 32\/5 of a meter?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 31. What is the remainder when 58 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2400 divided by -480\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -341 - -349. Let k(x) = -x**2 + 26*x + 59. Let d be k(23). Calculate the greatest common divisor of d and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9708 = 48*j - 42*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9961*i**3*o**3 + 2*i**2*o + 5*i*o**3 + 55*i + 2 wrt i?\nAnswer: -59766*i*o**3 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 1:18 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 10 - 38 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**4\/16 + i**3\/4 - i**2\/4 - 218. Determine a, given that m(a) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/13 (b) 19 (c) -1\/84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - sqrt(325)*-2) + -1 + (-2*sqrt(65)*3 + sqrt(65))\/sqrt(5).\nAnswer: -1 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 146*(1 + 0)\/10. Let i = z - 461\/10. Let p(a) = -2*a - 1. Calculate the common denominator of i and p(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 19. Which is the smallest value? (a) j (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9617271ml to litres.\nAnswer: 0.0009617271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427*172.1.\nAnswer: 73486.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u. Let k(i) = i - 1. Let s(n) = 4*n - 2. Let t(o) = -7*k(o) + 2*s(o). What is the units digit of t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4966211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4255019818 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - 3 - (4 + 28).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 283563 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - -0.5. Let n = -674 - -748.8. Let a = n - 74.3. What is the closest to 5 in w, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69*a**3 - 10*a**2 + 1941 wrt a?\nAnswer: 207*a**2 - 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4605\/10 + (-1)\/2. Suppose 208 = 2*c + 3*a - 266, 4*a = 2*c - o. Let x = c + 2487. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222210222111 (base 3) in base 2?\nAnswer: -10000000110110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 68. Let p(l) = 5*l - 457. Let i(f) = -5*n(f) + p(f). Give i(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -a264?\nAnswer: -a262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5748 - -5746. Let v(s) = -2*s**3 - s**2 + 6*s + 3. Determine v(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceqpvqr. Give prob of picking 1 q and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 206679*b**5 + b**4 + 4*b**2 + 15*b + 12252?\nAnswer: 4133580*b**3 + 12*b**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4 + 20. Suppose d - j = -3*d. Solve 5*i + 0*i = -d*b - 25, i = -5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.6, -10, -101\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186 + -1 - -2*3\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 36*g - 3. Let o be (-2)\/(-3) - 1\/((-12)\/40). What is the hundreds digit of z(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -13*q**2 - 813*q - 5630. Give z(-7).\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 385*w + 214. Is k(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167 = 70857*i - 70548*i - 16755 for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/50)\/(1\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 27 = -4*n. Solve 0 = 4*r + 2*a - 2, 27 - n = 3*r - 4*a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkyykkkkyykyvk. What is prob of picking 2 k?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 422, 657, 926, 1241?\nAnswer: 1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-484)\/(-24)))\/(1317\/(-4829))*114\/(-4)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**7\/5460 - j**6\/1170 + j**5\/780 + j**4\/78 + 19*j**3\/3 - 13. Let l(z) be the third derivative of y(z). Factor l(i).\nAnswer: -2*(i - 1)*(i + 1)*(i + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 151091 and -1.\nAnswer: -151091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25350463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 22, 2, -21, -4\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3\/6 + 74*g**2\/3 + 1778*g\/3 + 3920 = 0.\nAnswer: -120, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - b + 0*b = -62, 3*b = 12. Let y(a) = 167*a**2 + 47*a**2 - n*a**2 + 5 - 2 - 3*a. Is y(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2 - (-27)\/9). Solve -3*n = -2*p + 7, t*p - p = -4*n - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 13284 = 12*u - 4836. What is the remainder when u is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + w + 5. Let c(d) = 2*d**2 + 1. Calculate the remainder when c(-6) is divided by z(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v = -24. What is the least common multiple of 26\/5*10*(-5)\/(-10) and v?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d - 5*d + d)*(7*d - 2*d - 2*d) - 3*d**2 + 2*d**2 - 4*d**2)*(-2*d**3 + 3*d**3 - 3*d**3).\nAnswer: 28*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32741 + 10917 + 10913 + 10911 + 27*j**3 + 0*j**3.\nAnswer: 27*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from llplx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 13*h - 25. Let f(u) = 41*u - 73. Calculate 11*d(j) - 4*f(j).\nAnswer: -21*j + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*u - u, -5*g + 4*u = 0. Let c(k) = -9*k - 16. Let l be c(-2). Let b(t) = 1 - 9 + 23*t**l - 3 + 0 - 24*t**2. Determine b(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**5 + 5*q**4 + 12*q + 5. Let f(i) = -i**5 - 4*i**4 - 13*i - 4. Let h(g) = 5*f(g) + 4*v(g). What is the second derivative of h(w) wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -4*c - 25, -17*c - 65*c + 77*c = 5*l - 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -14 - (5 + 1) - -1) + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 1. Let p be (44\/275)\/(2\/95)*10. Let m = p + -114. Let r = -39 - m. Calculate g(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*k + 27*k + 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 15079 = 2*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-2 - ((-5 - -1) + -59 + 43)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -259 + 273. Solve 4*v - o = w, v - 13 = -2*v + 2*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*w = 71277, 2*m - 3*w = 54280 - 6787. List the prime factors of m.\nAnswer: 2, 3, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/83 at least as big as 3415\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 648952*f + 52642337288.\nAnswer: 2*(f + 162238)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8025 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2404658 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-264)\/(-55)*150\/5280?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4343*j + 2368*j - 3238*j - 1239*j.\nAnswer: -6452*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 2\/((-34)\/(-221))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2671*m**3 + 12*m**2 - 2*m - 4. Let r(w) = 2671*w**3 - 18*w**2 + 3*w + 5. Let i(h) = 6*k(h) + 5*r(h). Find the third derivative of i(x) wrt x.\nAnswer: -16026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*3*sqrt(91) - (sqrt(91) - (sqrt(91)*-3*-3 + sqrt(91))))\/(3*(2*sqrt(1008) - sqrt(1008)) - -2*sqrt(1008)*-5).\nAnswer: -3*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -699076, -1398156, -2097232, -2796304?\n\"Answer: 2*j**2 - 699086*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, s: 3, g: 1}. What is prob of picking 1 g, 1 i, and 1 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t = 2*t - 11, -2*t + 3*t - 61 = 17*i - 12*i - 3*t for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 7. Let w be (-2 + h + 5)*3. Solve k - 4*c + 14 = 0, -5*k + w = -2*c + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42.137 or -1445?\nAnswer: -42.137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 13. Let z be w(5). Let h be z + (3 - (-3 - -4)). Suppose -v + 3*v = h. Calculate the lowest common multiple of v and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f - 31. Let m be q(5). Let j be 11\/m - (-454)\/8 - 1. Suppose 5*w = w + j. What is the greatest common factor of 56 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.2, 9, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**5\/240 - q**4\/48 + 5*q**2 + 6. Let g(a) be the second derivative of t(a). Factor g(j).\nAnswer: -j*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01379831025 rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5380\/53 smaller than 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*t + 686 = 0, -5*t = -4*w + 184 + 345. Suppose 3*c + 4 = -5*s + 83, 0 = 4*c - s - w. Calculate the remainder when c is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4487586472698245*n**2 + 599171860*n - 20 = 0?\nAnswer: 2\/29958593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*o - 58*o = 5*b - 14355, -2*o + 8609 = 3*b. What are the prime factors of b?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 2*q**2 + 0*q**3 + 8*q + 9 - 4*q**2. Let s be o(-7). Solve -3*x = -s*v + 11, 0 = 2*v - 5*x - 11 - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 22*j + 2. Let s(q) = 65*q - 3. What is -k(y) - s(y)?\nAnswer: -87*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.125218ml in litres?\nAnswer: 0.000125218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2 - (-3 - 74\/(-8)). Are i and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b - 2. Let k be o(1). Suppose 19 = -4*t - k*r, r + 13 = 5*t + 51. Let u be 28\/t*1\/2. Which is bigger: u or -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.913 + -0.953. Which is the second smallest value? (a) 0.5 (b) -0.3 (c) -0.16 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*r + 3494 + 1023 + 1279 = 0 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5498.\nAnswer: 2, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3673*g - 5*g**2 + 3673*g.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(-2*sqrt(200)) - (-3 + (sqrt(63) - sqrt(504)\/(sqrt(8)*2)))) + 3.\nAnswer: -33*sqrt(7)\/20 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*u - 1. Let a be (-16)\/108*u\/2. Let y = 1.3276 - 1.8276. Put 0.1, y, 1, a in descending order.\nAnswer: 1, a, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/17? (a) -3 (b) 179 (c) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 160*c**3 + 390*c**2 - 1280*c + 725.\nAnswer: 5*(c - 1)**2*(c + 5)*(c + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/28420 and 5\/1276.\nAnswer: 312620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38012, 152029, 342070, 608147, 950272?\n\"Answer: 2*s**3 + 38000*s**2 + 3*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539965 divided by -5?\nAnswer: -107993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 1\/31, -0.1, -5\/4, -23.94?\nAnswer: -23.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*y**2 - 77*y**2 - 20*y**2.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 9:58 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187 (base 9) in base 5?\nAnswer: -12024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51986 divided by -17.\nAnswer: -3058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17871*c**4 - 5*c + 20 wrt c.\nAnswer: -214452*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k = -21*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657161172?\nAnswer: 2, 3, 251, 72727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114431070.\nAnswer: 2, 3, 5, 13, 293413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1) + 0 - (-5 + 1). Suppose z*h = 12*h - 18. Solve -u = -3*d + 13, 0*u - 10 = 4*u + h*d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + 0*h**3 - 4*h**3 + (-2*h**2 - 2*h + 2*h)*(1 - h - 1) + 23*h**3 - 21*h**3 - 11*h**3 + (3*h**2 - 4*h**2 - h**2)*(-1 + 1 - h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 1. Let v = f + -15. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5195*o - 1537683. What is k(296)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 11*f**2 + 4*f + 2. Suppose 4 = -5*w - 6. What are the prime factors of g(w)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1344168 and 672?\nAnswer: 5376672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2005 (base 7) to base 13\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p**2 - 3*p + 1. Let f be r(2). Let v(o) = -o - 2. Let j be v(-5). Let g be (-3)\/(-2) + (-1)\/(-2). Solve -3*s - 1 = -4*c, -j*c = s + g*s - f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 20354928.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 25798176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.05. Let i = 1363 - 1362.95004. Let q = i + h. What is q rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/(-2) - 0)\/(25\/50). Suppose 2*n = -4, 8*n = 2*d + c*n - 2796. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (59*y**2 + 997 - 997 + (2*y + 0 + 0)*(-4*y - 2*y + 4*y))*(y - 2*y - 2*y) as f + m*y**3 + j*y + d*y**2 and give m.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (-1 - (-2)\/1). Let q be ((-2)\/n)\/(1\/1). Suppose 50 = 12*s - 7*s. Is q less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**3\/6 - w**2 - 3*w\/2 + 3. Find p, given that u(p) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.264 - 0.567. What is p rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 40*n - 56. What is the units digit of m(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -2965\/79?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 25*t - 9. Let l be x(13). Let p be -1*(l\/14 + (-1604)\/28). Suppose 2*s - p - 450 = 5*d, 4*d - 1028 = -4*s. Does 45 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93952 times 0.5\nAnswer: -46976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*j - 2*j + 11, 0 = 2*q - 4*j - 24. Let z = q - 1. What is the remainder when 37 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 860*l**3 - 13*l**2 + 9*l**2 + 4*l**2.\nAnswer: 860*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*c + 3*f, c + 182 = f + 185. Find k, given that 0*k + c + 1\/7*k**3 - 2*k**2 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -1*(-30)\/2. Suppose -2 - k = -5*x. Let f(y) = 9*y + 288. Let u be f(-32). Solve r + x*r = u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13249740 divided by 630940.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 133308.6 meters in kilometers?\nAnswer: 133.3086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 21. Let o be z(-8). Suppose -17 = 4*s - o*f, 11 = 3*s - 0*s + f. Let b(v) = 6*v**2 + 2*v. Let y(r) = -13*r**2 - 5*r. Give s*y(m) + 5*b(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, -5, 1\/3, -1.41, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p - 4 = 0. Let s = -3.7 - -4. Let k = -0.3 + s. What is the nearest to -1 in k, 3, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986 is divided by 180?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1517 and -43834.\nAnswer: -42317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 220 and -8.633 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 14128.7 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81697*j + 81687*j - 276 = 163396*j for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4))**24*((q\/(q*q**1))\/q)**(10\/7))**(-16\/7) assuming q is positive.\nAnswer: q**(992\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**5 - 30*k**4 - 65*k**3 - 40*k**2 + 10*k - 10. Let t(w) = -w**5 - w**4 - w**2 + w - 1. Let n(o) = -g(o) + 10*t(o). Let n(p) = 0. What is p?\nAnswer: -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-15*1*(-52)\/156).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**3\/o)*o**(-1)*(o**4*o)\/(o*o**1*o))**(-41) assuming o is positive.\nAnswer: o**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1, 1859 in decreasing order.\nAnswer: 1859, 26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8233\/4 - 2058. Let n = -0.16 + -0.06. Let s = -0.08 + n. What is the third smallest value in c, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -110 - -11091?\nAnswer: 10b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 626 - 2139. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**6\/60 + v**5\/100 - v**4\/8 + v**3\/15 + v**2\/5 + 3*v + 51. Let j(a) = 0. What is a?\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4405778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v - 13. What is the remainder when g(5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950251047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 1, -23, -47, -71?\n\"Answer: -24*g + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 71. Let w = -23 - m. Let s = -22 + w. Solve 2*j = j + s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -1)\/((-7)\/49). Suppose c + 196 = g, 2*g = d*g + c - 974. What are the prime factors of g?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 111 = 69. Suppose 0 = g - 6*g + i. Let p = g - 5. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 759944.5 millilitres in litres?\nAnswer: 759.9445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -53025 (b) 36 (c) -0.1 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460 - 227 + 1007 = -40*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2033, -1.6, -1\/69 in increasing order.\nAnswer: -2033, -1.6, -1\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7753*h**2 - 148*h**3 + 25*h**3 + 7753*h**2.\nAnswer: -123*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*v + 1147233 = 4520721. What are the prime factors of v?\nAnswer: 2, 3, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.5 + 7.5. What is the second biggest value in p, -5, 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h - 12. Suppose -3*m + 0*m + h = 0. Suppose 3*t - 29 = m*t. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times -673034?\nAnswer: -1009551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. Let h = 67\/56 + -11\/7. What is the third smallest value in h, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41093430 and 38158185?\nAnswer: 534214590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Let q(v) = 5*v**2 + 3*v + 3. Let s(t) = -t**2 - t - 1. Give k*s(n) + q(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f + 4. Let n(c) = -17*c + 17. Let p = -140 + 143. Suppose 3*o + 3 = t - 3, p*t + 5*o + 52 = 0. Determine t*l(a) + 2*n(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 100 = -i, -8*i + j = -4*i - 413. Calculate the remainder when 300 is divided by i.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307697023?\nAnswer: 307697023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931 is divided by 41.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*m + 2*m = 86, -3*r - 2*m = -82. Suppose -j = -5*j + r. Suppose 0 = -4*i + 2*p + j, 5*i = -8*p + 3*p + 45. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -q + 4*q. What is q rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 370 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 13. Calculate the remainder when k(0) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 34*b - 5. Let s be d(-1). Let y = 7 - s. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -16*j - 24. Let o(x) = -5*x - 8. Let k(b) = 4*a(b) - 11*o(b). Is 16 a factor of k(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 23230895?\nAnswer: 23230895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.721 rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1\/10, 39, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(2) - (sqrt(2) + (sqrt(288) - sqrt(2)))) + -4)**2 - ((0 + sqrt(200))**2 - (sqrt(8) - sqrt(32)\/sqrt(4))\/sqrt(4)).\nAnswer: -974 - 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vprvvvgfkgrkfvvgrr. Give prob of sequence vrf.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11*d**3 + 2*d**2 - 25*d + 2. Let n(v) = -33*v**3 - 7*v**2 + 74*v - 7. Let j(u) = 7*a(u) + 2*n(u). Find the second derivative of j(c) wrt c.\nAnswer: 66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11717 + -5?\nAnswer: -11724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b + 904cdb?\nAnswer: 904cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 o, and 1 h when three letters picked without replacement from {w: 1, p: 2, o: 2, h: 1, t: 1, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**4\/24 + 7*b**3\/6 - b**2. Let y be q(-7). Suppose 4*u - 2 + 6 = y. Put 4, u, -4 in ascending order.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17984.663 + -17865. Let s = w + -118.8. Let q = -0.267 - s. What is q rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65*k*v**2*x - 2*k*v*x + 2*k*x - 4*k - 14636*v**2*x wrt k.\nAnswer: 65*v**2*x - 2*v*x + 2*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-2 - -12) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 8963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -230?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -640 - -1722. What are the prime factors of o?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8468*r*s**5 - r*s - 309*s**6 - 199432*s**2 - 1 wrt s?\nAnswer: 508080*r*s**2 - 37080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 79, 128, 191, 268?\n\"Answer: 7*w**2 + 28*w + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 1 + -18 + 1 + (4 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 44. Calculate the highest common factor of 76 and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -65*s + 2. Let c be u(0). Suppose c*x + j - 10 = 0, -21*x + 5*j = -17*x + 8. Factor x*q - 5\/2 - 1\/2*q**2.\nAnswer: -(q - 5)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -973, -1066, -1215, -1414, -1657, -1938, -2251?\nAnswer: -2590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 6*m**2 - 4*m + 16. Let w be i(2). Calculate the greatest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*f - 5*u + 49, 5*f - 4*u = 178. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002635595 rounded to 7 dps?\nAnswer: 0.0002636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 126\/75*(402\/(-12) - -36). What is t in m*t**2 + 0 - 12\/5*t = 0?\nAnswer: 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.5 in 1\/6, 5, 0.5, -27, -512, 2\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21.94 and 0.34.\nAnswer: -7.4596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001483023163 rounded to 7 dps?\nAnswer: -0.0001483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3.21361138 * -0.2\nAnswer: 0.642722276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**4\/12 + 5*d. Let c(y) = 2*y**2. What is c(r(s))?\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 277, 635, 1129, 1759, 2525, 3427?\nAnswer: 4465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 328971, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 3*t + 2. Let o be d(-4). Suppose 6*g = 3*g - 6. Let p be (3 + o)*(1 + g). Is p greater than or equal to 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/(5\/(250\/10))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/13)\/(u*u**(5\/4))*(u*u*u\/(u**(-3\/8)\/u))\/u**(-1\/5)*(u\/u**(-3))\/u*u**(-7)*(u**(-2\/3)*u)**39 assuming u is positive.\nAnswer: u**(5809\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -38, -40, -14, 46, 146, 292?\n\"Answer: x**3 + 5*x**2 - 46*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5709 + 0.0709. Which is the nearest to 1\/4? (a) t (b) -1\/7 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4647135, 4647134, 4647133?\n\"Answer: -p + 4647136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 11:48 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 78. Let q be (-1 + (-29)\/(-2))*168. Suppose 0 = -b - 8*b + q. Calculate the highest common divisor of u and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12 - (-259)\/(-21))*(-15)\/1. Suppose u*h - 2887 = 723. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4251448 is divided by 188.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 796*k - 357*k - 61*k - 61*k + 1127*k + 483*k + (-6*k + 2*k - 2*k)*(3 - 3 - 1) to t*k + b and give t.\nAnswer: 1933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6412894 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.288, 0.5, 0.03, 1\/9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(2\/7)\/d*d*d))**20*d**(-1)*(d\/(d\/(d**(1\/4)*d)))\/d)**(2\/11) assuming d is positive.\nAnswer: d**(-181\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (6 + -9 - 50\/20)*-6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 117\/2? (a) -1\/11 (b) 4 (c) 1 (d) 141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-50)\/4*-4 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x**2 + 19*x + 3. What is d(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2702229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*r + r - 75, 0 = a - 2*r + 15. Is -15 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10102634, 10102636, 10102638, 10102640, 10102642?\n\"Answer: 2*b + 10102632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = v + 14, 4*z - 2 = -2*v - 3*v. Let a = 5 - z. Calculate the greatest common divisor of a and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323012.36 rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 290\/8 - (-1)\/(-4). Let i be ((-2)\/6)\/((-3)\/q). Find the first derivative of i*a + 2 - a**2 - 4*a wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19140409523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 861*v - 44760. Determine f(52).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*w + 22, l - 38 = -3*l - 3*w. Solve l = 2*i + 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 160930252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57, -65, 23, 255, 679?\n\"Answer: 8*z**3 - 64*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 11*s**2 - 2*s + 27. Let c be q(11). Suppose 6*f + 49240020 = 10*f + c*b, -3*b + 36930012 = 3*f. What is f rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 6806436.\nAnswer: 6806436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4401 - -4406. Solve c*d - 41 = -46 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1925 and 179925.\nAnswer: 13854225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -58.99999928. Round u to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 272 - 271. Let u(q) = 214*q - 50. List the prime factors of u(w).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 228226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - b**2 - 2*b. Let d = 3 + -5. Let s(n) = -2*n**3 - 2*n**2 - 5*n. Let y(o) = d*s(o) + 5*z(o). Determine u so that y(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 152\/3 or 50?\nAnswer: 152\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + f = 5*c + 7, 0 = 3*c + f + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 - 66. Suppose 0 = 5*g - 2*b - 11, -10 = j*g - 6*g + 3*b. What is the greatest common divisor of 2 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5199.34354 and 70110?\nAnswer: 75309.34354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112302123321 + 10?\nAnswer: 112302123331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -32*b + 29. Give x(-5).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252 a factor of 137373573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w**2 - 204*w**3 + 9*w**2 - 4*w**2 - w + 26*w**3. Is o(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 24*n**2 + 2*n - 44. Let o(w) = -2*w**2 + 4*w + 24. Let d be o(0). Let z be m(d). Solve -2*b = 2*y + y + 3, -b = z*y - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v - 13*v - 38. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06259 + -0.05259. Which is the third smallest value? (a) -1\/4 (b) 0.1 (c) s (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 l when four letters picked without replacement from {l: 4, u: 6}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497033 a multiple of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - f**2 - 24*f + 2*f**2 - 25*f - 7*f.\nAnswer: -f**2 - 56*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - sqrt(88)*3*-5) + 2*sqrt(88)*-1)\/(5*1*sqrt(8) + (sqrt(16) + sqrt(64)\/sqrt(4))\/sqrt(2)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g + 8. Let o be (-68)\/(-12) + 1 - (-3)\/9. Give m(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-167050)\/(-15806) + -1 - (12 - 6). Let f = -3\/1129 - x. Find the common denominator of -2\/103 and f.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 2:05 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - b**2 + (-2*b + 3*b + b)*(-1 + 1 - 5*b) - 13*b + 13*b - 4*b**2 as a + f*b**2 + y*b and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4 + 4 = 2*n, n + 3 = 2*h. Suppose 75*v - 73*v = -h. Sort -3, v, 4, 0 in descending order.\nAnswer: 4, 0, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 492140*n**2 + 984265*n - 492130.\nAnswer: 5*(n - 98426)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from {v: 1, t: 3, y: 7, j: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Suppose -g*l = 5*s - 10*s - 14, -4*s - 8 = 0. Let b = 112 - 108. What is the remainder when b is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 0.3, -0.3, 593?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/819135091 and -29\/4.\nAnswer: 3276540364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000687 rounded to five dps?\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139 and 222956.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 11*g + 11. Let t be s(7). Let i = t - -18. What is the tens digit of 44\/i*7\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*j**2 - 6*f**2*j*p**2 + 44*f**2 + 26*f*j**2 + 18*f*j*p**2 - j**2*p**2 + p**2 wrt f.\nAnswer: 2*j**2 - 12*j*p**2 + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/q**(-29))\/q))\/q**1*((q*q**10)\/q)**(1\/59) assuming q is positive.\nAnswer: q**(-1701\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 10*p**3 - p)*(3 + 0 - 2) + 3*p**3 + 0*p**3 - p**3 in the form q*p**3 + f*p**2 + i + t*p and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**4\/12 + c**3\/6 - c**2 - 4*c. Give r(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.3, 16 in descending order.\nAnswer: 16, 8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3240*z + 1621*z + 1616*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 5, 1, -1, -4 in ascending order.\nAnswer: -31, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 3*t + 15, -3*x = 2*t + 16. Let k(s) = s**2 - 2*s - 2. Let l(m) = 2*m**2 - 3*m - 2. Determine x*l(i) + 3*k(i).\nAnswer: -i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678 is divided by 168.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 37*v + 77. Determine u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 449.323 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 118.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 20, -3, 4, -47 in ascending order.\nAnswer: -47, -4, -3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3036 and 88.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 6*s**2 + s - 5. Let w be m(6). Let x be (-5596)\/112 - 2\/7. Let y = x - -50. What is the nearest to 0 in w, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 21 = -5*q, -5*g - 3*q - 134 = -7*q. Let k = g - -42. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9 + 9 - -2)*(-2)\/42. Let z(n) = 3*n + 1. Let v be z(-2). What is the nearest to 0 in u, 2, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*8\/72*147\/(-7)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/7)\/(-6 - (-264)\/42). Let d(o) = -o + 1. What is d(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2448.56452 * -1.\nAnswer: 2448.56452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5652234 and 14364.\nAnswer: 11304468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*q + 1)*(2 - 18 + 3)*(-2 - 3 + 6)*(-5 + 3 + 4)*(0 - 1 - 3) to the form d + z*q and give z.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5520 and 264.\nAnswer: 60720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*o - 13 + 8 = -186*o + u, 6*u - 145 = -23*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43029644 and 226737?\nAnswer: 387266796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**3\/6 - 8*d**2\/3 + 35*d\/6 + 26\/3 = 0.\nAnswer: -1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69015.467 + 68925. Let i = 48.4602 + u. Let n = i + 42. Round n to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 25*i**2 + 8*i + 12. Let f(x) = 9*x**2 + 3*x + 4. What is 17*f(a) - 6*u(a)?\nAnswer: 3*a**2 + 3*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((36 + 34 - 62)*(51 + 5 + 7) - 1 + 2 + 1)*(-4 - 1 + 3)*(-i + 2*i + 0*i).\nAnswer: -1012*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 7*z - 18. Let m be g(5). Suppose -j + 75 = 7. Let w = j - m. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*l - 176, 5*v = -0*v + 3*l + 226. Suppose 0 = -v*q + 46*q + 3. Let s be q\/(4\/(-8)*-3). Calculate the greatest common divisor of 4 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7066, 7070, 7076, 7084, 7094?\n\"Answer: l**2 + l + 7064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 107 divided by -5\nAnswer: -107\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 - 10*r + 13. Let i(n) = n**2 + 3*n - 4. Suppose 0*z = 4*z + 8. Calculate z*a(t) - 7*i(t).\nAnswer: -t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)\/n**(2\/21)*n**(-2\/5)*n*n*n\/(n**(1\/10)\/n) assuming n is positive.\nAnswer: n**(101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3071 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3))\/((-21)\/6). Let i = -52 - -43. Let v be (26\/(-117))\/(3 - (-21)\/i). Which is the closest to 2? (a) g (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 45*c + 42*c = -32, -5*p + c = -29. Is 166\/25 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 45, 5 in descending order.\nAnswer: 45, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3303 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 14) to base 2.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 5.97. Let w = f - -0.03. What is the nearest to w in 1\/5, -2, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -110*j**3*m + 494*j**3 + j*m**3 wrt m.\nAnswer: -110*j**3 + 3*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 47, 64, 87?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(12\/7))\/(d**(-30)*d*d) assuming d is positive.\nAnswer: d**(215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10\/7 (b) -2\/199 (c) 3 (d) -2\/13 (e) 2 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3780 divided by -420\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197.749 + -0.251. Let h = y + 231. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 3. Suppose 0 = -3*z - 2*a + 487, -6*z + 5*a + 795 = -z. Suppose -z = -d*b - b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -17*c + 182. Let i be p(11). Sort 4, -1, 6, i in increasing order.\nAnswer: i, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -369\/149 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8271194 is divided by 5474?\nAnswer: 5454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -897*a + 4 - 3 + 891*a. Give v(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202102 (base 3) in base 16?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -23 + 58 - 22 - 11 - 6*n. Give p(11).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v + 5 = 0. Suppose -v*h + 33 = 8. Solve 3 = -5*y - d, -5*d + h = y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6882?\nAnswer: 2, 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/11)\/v)\/v**(4\/5)*v**(1\/2)*v\/v**(-1\/16) assuming v is positive.\nAnswer: v**(-289\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {h: 1, s: 4, r: 2, q: 6}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3603.\nAnswer: 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 19*o - 37*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 11. Let d(f) = f**3 + 5*f**2 - 8*f - 3. Calculate the remainder when 19 - 0 - 10\/5 is divided by d(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/4 and -17\/1727?\nAnswer: 6908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-72)\/(-48) + 193\/(-2). Let p = -100 - v. Let f(u) = u**3 + 6*u**2 + 3*u + 3. Give f(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t - 5 = 0. Let b = -56 - -223\/4. Suppose -3*g - 12 = 3*w, -w = -4*g + 2 + 2. What is the nearest to -1 in b, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 7*l. Suppose f - 19 = -l*f. Suppose -6*y = -7*y + 2. Solve 8*v + 3*s - f = 3*v, -y*v - s = -7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - l + 1. Let u(k) = -k**2 - k + 1. Let n be u(-1). Let a be o(n). List the prime factors of (6\/(-9))\/(a\/33).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13559426?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 3. Let v be (1 - 4) + -5 + 13. Suppose 0 = 4*o - j - 163, -2*o + t*o - 143 = v*j. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 7}. What is prob of picking 2 b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 8*s**2 + 944*s + 18. Give i(27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 + 4*y**2 - 5*y - 9. Let a(r) = r**3 + 2*r**2 - 2*r - 4. Let l(j) = -6*j**2 + j. Let p be l(1). Give p*a(z) + 2*g(z).\nAnswer: -z**3 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/35)*g)**(-36)*(g*g**1*g)**(-19\/2) assuming g is positive.\nAnswer: g**(-7179\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**2. Let a(t) = 36*t + 339*t + 1248*t + 628*t. Determine a(h(v)).\nAnswer: -9004*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d**2 + 111814 - 111814.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 87*y - 321. Let u be 55 + (-2 - 6) + -3. What is the thousands digit of k(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -20. Let t = -2 - -1. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 18*m - 1. Let c = 7 + -3. Solve 5*q - 15 + 5 = m, 0 = 2*u - 4*q + c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -25, 3*y + 0*y = 2*t + 1. Suppose -t*x + 29 + 237 = 0. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5496, 5601, 5704, 5805, 5904?\nAnswer: 6001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 6*n**3 + 7*n**3 - 9*n**3 - n**2 + 1. Let r be m(-1). Suppose -r*c = -11*c + 904. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*w = -3*x, 10 = 5*w. Differentiate -40*j**3 + 3*j**3 + x*j**2 + 23*j**3 + 29 wrt j.\nAnswer: -42*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16 + 2 - (-9)\/(18\/4). Suppose 16*q + 928 = m*q. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 4*i + 0*i)*(-2*i + 0*i + 4*i - 5*i + 4*i + 10*i + (3*i - i - i)*(1 - 4 + 4)) to the form r + v*i**2 + a*i and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**4 - 2*d**3 + 22870*d**2 - 2408*d - 77 wrt d?\nAnswer: -24*d**2 - 12*d + 45740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 113210414 (base 5) in base 12?\nAnswer: 212529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 24*z**2 + 4*z**2.\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17994533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1448*c**2 + 10*c + 89839?\nAnswer: 2896*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 68 = 2*w + 3*r, r + 116 = 4*w. Let t = 329 - 17. What is the units digit of t\/5 + (-12)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-540)*-45987 - (3 - 4). Let w = i + -3447\/5. Calculate the common denominator of w and 67\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148592 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14844 + 14834. Let d(i) = -19*i - 187. Determine d(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i. Let c(s) be the third derivative of 359*s**6\/360 + 199*s**3\/6 - 181*s**2. Let j(a) be the first derivative of c(a). What is n(j(u))?\nAnswer: -718*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssysysyssyysy. What is prob of sequence yy?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 595.38, 1, -0.1, -3 in decreasing order.\nAnswer: 595.38, 1, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1289248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**2 - 17*b. Let r(j) = -j**2 + j. Let f be (-3)\/6 + 4\/(-8). Let s(v) = f*k(v) - 4*r(v). Find the second derivative of s(x) wrt x.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -9040 and -9041 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -410 + 407. Let u be h\/(-1 - -16) + (-551)\/(-5). Calculate the greatest common divisor of u and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*o - 22*o**2 + o + 6*o**4 + 22*o**2 wrt o?\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, m: 3}. Give prob of picking 2 m and 2 k.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2349 divided by -9\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34113*x**3 + 3*x**2 - 89405*x.\nAnswer: -204678*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 10 + 8)*(59*p**5 + 20*p**5 + 12*p**5).\nAnswer: 1001*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000052105 to seven decimal places.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -9279*w**2. Let r(c) = -c**2. Calculate s(r(v)).\nAnswer: -9279*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/7)\/(153\/(-357)))\/((-107)\/(-1))\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 less than -1.7431768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g + 16. Let i = g - -5. Let s be -1 - 1 - (1 + i). Which is smaller: -5 or s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23 (b) -0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -12. Let s be 47\/9 - o\/(-27). Solve -1 = 4*a - 3*a - v, 0 = a + s*v - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627538.\nAnswer: 2, 17, 18457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 81817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 558 and 2081340.\nAnswer: 2081340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/558 and 20\/6397563?\nAnswer: 38385378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + f**2 - 3*f + 3. Is l(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Suppose 0 = 11*m - 30*m + 19. Calculate the remainder when m is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 20 = 8, 3*w + 5*h - 123 = 0. Let j = -22136 - -22196. Calculate the greatest common factor of w and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y**3 - 4*y**2 - 4. Let m(f) = f**3 - 7*f**2 - 2*f - 51. Let t be m(8). Let l(s) = 7*s**3 + 3*s**2 + 3. Give t*w(k) - 4*l(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((0 + sqrt(5))**2 - sqrt(5)) + -1)*-1.\nAnswer: -6*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9617 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1073688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, -6, -28, -5, 4 in increasing order.\nAnswer: -28, -10, -6, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -73*o**8\/48 - 319*o**4\/12 - o**2 + 16. What is the second derivative of q(f) wrt f?\nAnswer: -10220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/2*(-87)\/(-3) - 2. Let x = 20 - q. Let u(c) = 7*c + 3. Let m(b) = 10*b + 4. What is x*u(y) + 5*m(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5 - 662*g**4 + 80574*g**3 - 4227866*g**2 + 76353200*g + 269340000 = 0 for g.\nAnswer: -3, 67, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*m**2 + 175*m + 2 - 176*m + 3*m**2 in the form v*m + f + w*m**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s + 5 + s - 15*s. Let q(l) = -9*l + 5. Let d(y) = 2*q(y) - 3*v(y). Differentiate d(x) wrt x.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, 31, 1 in decreasing order.\nAnswer: 31, 2, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118878 + 7*x + 0*x + 118878.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o. Let f(c) be the third derivative of -c**5\/20 - c**4\/24 + 48*c**2 + 2*c. Calculate f(p(j)).\nAnswer: -75*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80\/3 - 122*w - 75*w**2 - 31\/3*w**3.\nAnswer: -(w + 2)*(w + 5)*(31*w + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -32*k**2 + 0*k**5 + 0*k + 0 + 0*k**3 + 3\/14*k**7 + 0*k**6 + 65\/24*k**4. What is the second derivative of i(y) wrt y?\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 223.68 and -2.\nAnswer: -447.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(704) - (sqrt(704)*-4 - sqrt(704))) + sqrt(704) - (4 + sqrt(11) + 0)))**2.\nAnswer: -3960*sqrt(11) + 299619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-12))\/(5\/(-15)). What is the third biggest value in 0.2, -6, q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvr when four letters picked without replacement from rrvrvvrrrrrvrrvrrrrr.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {a: 1, m: 2, f: 8, i: 1, o: 1, e: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w - w**3)*(5*w + 12*w - 6*w + (0 - 4 + 2)*(-4*w - w + 3*w)).\nAnswer: -15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 72*a - 912. Determine j(56).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -13. Let p(z) = 3*z + 7*z + 1006 - 14*z - 1003 + 2*z. What is p(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -488 divided by -3.\nAnswer: 488\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1349.8 + 1352.3385. What is i rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1344185 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 378210 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 8*g**2 - 3*g. Let z be o(3). Suppose -4*u - 64 = -112. What is the highest common factor of z and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65697.239 - -65637. Round z to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - -18 - (-268 - -276)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1. Let u(i) = 11*i + 2. Suppose 0 = 37*c - 18 - 19. Determine c*s(d) + u(d).\nAnswer: 11*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-57) - -1 - 540922711\/(-6220011)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/27 (b) -12 (c) 36 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + h = 190, 0 = i + 3*h + 43 + 66. Let n = i - -220. Suppose -9362 = -497*q + 195*q. Calculate the remainder when n is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysys when four letters picked without replacement from {s: 8, y: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p + 0*p)*(-17*p + 16*p + 17*p)*(-2*p - 3*p + p)*(31 - 31 - 6*p).\nAnswer: 384*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 4*m + 3. Let d be g(-4). Let v be -13826 + d - (-4)\/2. Let x = 165719\/12 + v. Calculate the common denominator of -43\/16 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowvwvowwwwoowowos. What is prob of sequence sov?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2596799 (base 10) to base 7\nAnswer: -31033562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 13*o - 15. Let i be f(-14). Put i, -2, 1 in decreasing order.\nAnswer: 1, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74594289*c**5*w*y - 2*c**2*w*y + 51*c*w*y + 12*c*y - 3080*w*y wrt c?\nAnswer: -1491885780*c**3*w*y - 4*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = d + 172 + 57, 4*d = n - 61. Calculate the lowest common multiple of 35 and n.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3307.\nAnswer: -3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72\/7 + -267\/28. What is the second smallest value in d, 0.65, -0.5?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11857\/4316 - 3\/1079. Calculate the common denominator of f and 61\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(99\/135 + 4\/(-10) - (-22396)\/(-58026))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 3064*y - 99062. What is t(32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.896084 litres to millilitres.\nAnswer: 4896.084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, -1, 1 in ascending order.\nAnswer: -1, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2533916589868 from -0.7.\nAnswer: -2533916589868.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*u - 409, 0 = 4*m - 2*m - 2. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Suppose -2*a + z = -3*z + 10, -a + 4*z - 13 = 0. Suppose -2*q - 5 = a*q. Let t(j) = -3*j - 6. Let w(g) = q*t(g) + 2*o(g). What is w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6927599 + 104?\nAnswer: -6927495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -246647681\/5728 - -43060. Are 0 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 4*z - 3. Let n be y(-1). Let l(q) = 2*q. Let w be l(n). Let d be -2 + 24\/(w - 3). Let a(b) = b**2 - 3*b - 8. Give a(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 11, 24?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38946555 to the nearest integer?\nAnswer: 6241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.04, 0.07, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*i - 24, -i = y + 16 - 8. Let w = 7 - 12. Let z be y\/(280\/(-165)) + w. Which is the smallest value? (a) -5 (b) -0.13 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmlmjljmmjmmmlmlmx. Give prob of sequence mjm.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.39 + 0.05. Let s = 2.66 - t. Which is the smallest value? (a) -1 (b) 8 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151490360 and 1960?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from uuuuuuuuuueu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453711477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4705*o**2 + 9*o - 171. Let s(h) = 1571*h**2 + 3*h - 57. Let b(n) = -11*s(n) + 4*t(n). Find the second derivative of b(y) wrt y.\nAnswer: 3078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*o**2 + 0 + 5\/8*o**3 + 1\/2*o**4 + 0*o + 1\/8*o**5.\nAnswer: o**2*(o + 1)**2*(o + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 2*v**2 - v - 1. Let a be s(-1). Let h be 0*(1 + a\/2). Suppose h = -3*t + t + 130. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.004 and -0.06.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26796 and 5490?\nAnswer: 24518340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42158 and 31520.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 171161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9\/9*10*3\/((-6)\/(-2))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (900\/1050*(-42)\/136)\/((-279)\/31)\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -242371 (base 9) to base 11\nAnswer: -9a855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 29*q + 7. Let g be l(-1). Let x(c) = c**3 + 21*c**2 - 39*c + 11. What is the tens digit of x(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r - 3*r + (-1 + 2 + 1)*(3*r - 4 + 4))*(-22*r**3 - 5*r**3 + 104*r**3).\nAnswer: 308*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2346844\/67 or 35027?\nAnswer: 35027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-10))\/(-4*(1125\/(-36))\/25).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**5\/30 - k**4\/6 - 3*k**3 - 5. Let s(j) be the third derivative of v(j). What is the least common multiple of 8 and s(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618048 is divided by 556.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*n + 4 + 73*n - 4 as y + r*n and give r.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 8 + 13. Solve -5*t = -2*v + u + 21, -v - t = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l + 6*q + 44, 3*l - 40 = -4*q. Solve 0 = l*h + 103 - 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(23\/(-3) + 7). Solve -2 - 4 = i - 2*h, -i - m*h = -14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/78624 and 149\/26208.\nAnswer: 78624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 118883*n - 59442.\nAnswer: (n + 59442)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -3*m + 5. Put 6, m, 1 in descending order.\nAnswer: 6, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 - 126 = -5*c. What is the lowest common multiple of 14 and c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a - 25. Let g be w(7). Suppose 2*c + g = 3*t + 5*c, 0 = -2*t + 2*c - 4. Suppose -3*y - t*y = -84. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -814 in -4, -0.4, 1, -22222?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26825.78435 + 26036.7842754. Let u = 789 + h. What is u rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66574.\nAnswer: 2, 33287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**1*r))**(7\/5))**(-4\/35)*(r\/(r\/r**0)*r\/r**(2\/5))\/(r\/r**2)**(2\/39) assuming r is positive.\nAnswer: r**(947\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80401706.\nAnswer: 2, 7, 11, 163, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1106600 to the nearest ten thousand.\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17005742627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.119 and 14789738.277.\nAnswer: 14789738.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34044, 34193, 34342, 34491, 34640?\nAnswer: 34789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17445*d + 17444*d - 26 = 3*h, -36 = 2*d + 4*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 448 = -9*b. Suppose 0 = 2*j - 11*q + 10*q - b, q = j - 58. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2254341 and 702?\nAnswer: 527515794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 140950175 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.51513*5\nAnswer: -12.57565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8*-0.1996\nAnswer: 1.5968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -14.6. Which is the third smallest value? (a) i (b) -7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from mnggcmrqc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 85 - 25 = -4*t, 4*t - 104 = 4*k. What is the remainder when 79 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -19*a**2 + 291*a - 88. Let w be u(15). Factor w*k**4 - 18\/5*k**2 - 2\/5*k**5 + 0*k - 6\/5*k**3 + 0.\nAnswer: -2*k**2*(k - 3)**2*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21561324 - -51?\nAnswer: 21561375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*w - 18 = 0, o + w = 3*w + 1. Suppose -o = -5*g + 12. What is the smallest common multiple of g and 1 + 1 + (1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 1. Let n(a) be the first derivative of -4*a**3\/3 + 3. Let h(j) = -n(j) - 5*r(j). What is the derivative of h(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1582\/(-15) - (-16)\/(-48). Let h = -3778\/35 - f. Which is smaller: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r + 6*r - 5*r - 7*r to t*r + o and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6510, -6513, -6516, -6519, -6522, -6525?\n\"Answer: -3*o - 6507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.64? (a) 5 (b) -0.1 (c) -4 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 23646*c**2 - 11832*c**2 + 2 - 11828*c**2.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -6\/5, 46\/3, -2, 4\/47 in decreasing order.\nAnswer: 46\/3, 4\/47, 0.04, -6\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d**2 + 308*d + 98. Let w be s(-51). Let v(c) = -c**3 - 3*c**2 + 2*c - 8. Give v(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 207 = 2*o. Let z = -51 - o. Suppose 5*b - p - 319 = 0, b - 2*p = -0*b + z. Calculate the greatest common divisor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 2*u**2 - 13*u - 9. Suppose -3*a + 0*h + 3*h = -9, -3*h = 5*a - 7. Let n(f) = -f**3 - 55 + 113 + 6*f - 54 + f**a. What is 6*k(g) + 13*n(g)?\nAnswer: -g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Let p(g) = g**2 - 375*g + 1. What is q(p(c))?\nAnswer: c**2 - 375*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/72 - 1198346\/(-180). Let a = b + -6665. What is the common denominator of 4\/(-14) + (-1182)\/28 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -23*g**2 - 15*g + 33. Calculate f(7).\nAnswer: -1199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * 432.\nAnswer: 60.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -65.16006?\nAnswer: -65.16006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11819?\nAnswer: 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 424*r - 1257. Let w be x(3). Solve -6 - 6 = -3*i + q, -4*q - w = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 0*d - 8*d**2 - 2*d**2 + 5*d + 2355.\nAnswer: -10*d**2 + 2355","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -190876 + 30730995\/161. What is the common denominator of 37\/10*(-2)\/7 and a?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + -160)\/((-13)\/13).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (19\/342*99)\/(1\/78) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6641615 (base 8) to base 2.\nAnswer: 110110100001110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 18, -2*x + 2*g + 97 - 99 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 95*a + 17. Let u be y(8). Suppose 17*x = 18*x - u. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*g - 12 - 66*g - 54 - 32 + 28*g.\nAnswer: -g - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36729.5 - 36974.5. Let r be 4\/34*(1 - 0). What is the biggest value in a, r, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 723.\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**3 - 2409*c**2 - 437013*c + 439425 = 0.\nAnswer: -525, -279, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, o: 3, j: 2, b: 6, m: 5, p: 1}. Give prob of sequence pbo.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2. Let i(g) be the third derivative of 13*g**5\/30 + 10*g**2 - 2*g. Determine i(y(r)).\nAnswer: 26*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42 - 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**4 + 13*w**4 - w**3 + 1 - 9*w**4 to o*w**2 + i*w**3 + x + j*w**4 + a*w and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -1. Let x be 2\/l*(0 - 1). Is x greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 70. Suppose f - s = 53, -l*s = 3*f + s - 183. Let m(g) = -g**3 - 2*g**2 + 4*g + 3. Let a be m(-4). Calculate the highest common divisor of a and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -71, -65, -55, -41?\n\"Answer: 2*h**2 - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m - 4. Let o(v) = 6*v + 5. Determine -3*o(z) - 4*t(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20221122201010101 - 11?\nAnswer: -20221122201010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*d = 4810 + 3290 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (98\/35)\/(1\/5). Let d = o - 14. Solve 14 = -a - 2*z - 1, 2*a - 2*z = d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + -2 - -36 - 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(68))**2 - (sqrt(17) - (sqrt(17) - sqrt(833)*-2)**2).\nAnswer: -sqrt(17) + 3893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54704 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14500?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -10102200202?\nAnswer: 10102200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohhkhohlk. Give prob of picking 2 o.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4*y**2 - 2*y)*(4 - 6 - 3)*(19*y + 66 - 66).\nAnswer: 380*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 358*b**5 - b**2 - 166?\nAnswer: 21480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38443 + -38446. Which is the smallest value? (a) 0 (b) 5249 (c) i (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -67*f - 52*f**2 - 1 - 43\/3*f**3. What is the derivative of o(d) wrt d?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 = 4*q, -d + 0*d - 3*q = 4. Let t be d\/((-1)\/3*1). Suppose -15 = -t*w + 6. Solve -2*m + r = -w*m - 15, 15 = -5*m - 4*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -363\/2 - -183. What is the nearest to 0.1 in 5, s, -17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1158, 9389, 31770, 75375, 147278, 254553, 404274?\nAnswer: 603515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -27. Suppose 2 = -4*x + b. Suppose 4*z - 128000 = x*z. What is z rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 - i**2 + i. Let z be n(1). Suppose 26*x - 32*x + 18 = 0. Solve -x*l = -15, -s + 9 = z*l - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -425, -985, -1545?\n\"Answer: -560*d + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 9:59 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 5*h**2 + 13*h - 2. Let x be o(-7). Suppose -3*g + x*g - 12 = -f, 0 = 3*g - 15. Let t = 2 + -2. Solve 0 = f*a - t*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(448) + sqrt(448)*-1)**2 - (5 + 1 + sqrt(847) + sqrt(847)).\nAnswer: -22*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:09 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*8*3\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.21 (b) -5 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 1\/4, 2\/5, -1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 95140.\nAnswer: 285420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -6. Let r be (2\/(-4))\/((-264)\/(-32)). Is m greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4338 - 4290. Solve -81*x = -b*x - 165 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*a + 655 = 0, 4*l - 1146 = 3*a + 185. Suppose -4*s - 4*k + 452 = 0, -2*k - l = -3*s - k. Calculate the smallest common multiple of 14 and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, 1, -2, -5 in decreasing order.\nAnswer: 1, -2, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 5*v + 13. List the prime factors of q(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 506 and 92.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from rmemjndmmmm.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*w - 4*h, 3*h = 4*w + 5 - 27. Let f(u) = 0 + 0 + 0*u - w*u. Let z(v) = -v**2. Determine z(f(b)).\nAnswer: -49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -930*d + 6342 = -7510 - 7538. Suppose 2*j - 3*m = 7 - 47, -50 = 5*j + 5*m. What is the remainder when d is divided by 1 + j\/(-2) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-8)*(-12)\/15. Suppose 0 = -3*f - 5*n + 207, f - 62 = -l*n - 2*n. Suppose 0 = k - 3*k + f. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52159358 to the power of 1\/2, to the nearest integer?\nAnswer: 7222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -41*d**2. Suppose 3*u = p - 5, -2*u - 2*u - 3*p - 24 = 0. Let k be (4 + -9144 + -1)*2\/u. Let m(y) = -6094 + y + k. Determine s(m(j)).\nAnswer: -41*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u + 3. Let z(i) = -8*i - 8. Give 17*g(q) + 6*z(q).\nAnswer: 3*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 192392 times 3?\nAnswer: 577176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*sqrt(304) + -2 + 4*sqrt(19))**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 5\/14 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/144 - -47\/144. Let l be 45\/(-150)*(-10)\/24. Factor -l*s**3 - 1\/4*s + z*s**2 + 0.\nAnswer: -s*(s - 2)*(s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 3*q**2 - q - 1. Let t be i(-3). Suppose 5*v + t = -3*j, -2*j = -4*v - 15 - 13. What is the remainder when 42\/5*15\/j is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -179 + 2*f - 102 - 113 + 96 - 3*f**2 + 6669*f**3 - 323 wrt f?\nAnswer: 40014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-62)\/6 - -5)*(-5 + -133). Let s = 896 - r. Is 40 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -737 (base 8) to base 2.\nAnswer: -111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {n: 1, j: 1, v: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 82b + -c1?\nAnswer: 75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311213 + -3?\nAnswer: -311222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 x when four letters picked without replacement from {l: 16, x: 2}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/12)\/((-2)\/6). Let m be (6 + v)\/((-1)\/(-3)). Let a(f) = -6*f**2 - m*f + 14 + f**3 + 5*f - 4. Determine a(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 764994250?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000462789 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4)\/((-24)\/(-160)). Suppose -5*p = -w - 0. Suppose 6*k - 132 = p*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8117063 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - ((5 - 11) + -5). Suppose k*v - 302 = 9*v. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/4, 1652, 3, 19, -9, 2 in decreasing order.\nAnswer: 1652, 19, 3, 2, 1\/4, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/5525 and -48\/4675.\nAnswer: 60775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 5*b + 1. Let d(v) = -5*v**2 - 14*v - 4. Let i(y) = -3*d(y) - 8*r(y). Let t(k) be the first derivative of i(k). Differentiate t(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 115*i**2 + 39*i - 1. Let v be u(-2). Calculate the greatest common divisor of 6 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -12. Let v = 9 + x. Solve v = -2*z - 1 + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -5799, -1, -21, -23 in ascending order.\nAnswer: -5799, -23, -21, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*2.23.\nAnswer: 0.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*h**2 + 14*h**2 + 2*h**2)*(-2 - 2 + 2) to the form m*h + z*h**2 + t and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*n - 165 - 343, 4*n + 3*u - 1052 = 0. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*c = 19, -4*o + 5*c + 14 + 18 = 0. Suppose -2*z = -z + 5. Let l be 1*(z + o) + 85. What is l rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1719, -1700, -1687, -1680?\nAnswer: -1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.87 + 1. Let a = -0.17 - z. Put 2\/11, a, -3 in increasing order.\nAnswer: -3, a, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -c - 4. Let s(i) = 5*i**2 + 2*i - 3. Let j(a) = a**2 + a - 1. Suppose 5*w - 12 = -3*k, -k + 1 = 5*w - 3. Determine c*s(u) + k*j(u).\nAnswer: -u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9 and 197?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-10*(-5)\/100.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - 32001001?\nAnswer: -32000525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 - 509 = -5*m. Let k be (m\/(-96))\/(1111\/(-1110) - -1). What is k rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 - -3?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/35*15\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 352\/(-330) + (-2)\/(-3). Which is the nearest to -1? (a) -0.08 (b) 5 (c) n (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - o**2 + o + 1. Suppose -9 = 2*d - 13. Let y(b) = 2 + b**d - 4*b - 4*b**3 - 2*b - 8 + 5*b**2. Calculate 6*p(z) + y(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.016234 or -83?\nAnswer: -0.016234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 11*t + 16. Calculate c(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -4*c - 20 + 1, 0 = -c - 3*w - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 8 - 0 - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(7\/(-7) - -2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 0.2 (b) 0 (c) -2\/7 (d) -162\/52555\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 96 = 0, 0 = -18*q + 13*q + 4*k + 2. Put q, -2, -18, 4 in ascending order.\nAnswer: -18, q, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 32421?\nAnswer: -32421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-1)*(1 + 3 - (-1 - -6)). Let o(w) = -w**3 + 5*w**2 - 4*w + 5. Let n be o(4). What is the nearest to 1 in n, -9, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 497*h - 1. Let t(g) = -716*g. Determine l(t(m)).\nAnswer: -355852*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c0a1 - -144?\nAnswer: 3c1e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p**(5\/4)*p*p*p*p**6*p**(-1)\/p)\/((p*p\/(p*p**(-1)*p*p))**(10\/13)\/((p\/p**(-1))\/p*p*p\/(p\/p**(-3\/7)*p))) assuming p is positive.\nAnswer: p**(219\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/7, -2, 36\/79?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g**2 - 58*g + 6. Let c(u) = -10*u**2 + 55*u - 5. Let l(i) = -5*a(i) - 6*c(i). Factor l(s).\nAnswer: 5*s*(s - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = -3*q + 301, -2816*q + 2817*q = -2*n - 47 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-18)\/(-5) + 12\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-8)*(7 + 99). Calculate the highest common factor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 + 17*m + 9. Let f(g) be the second derivative of -g**4\/12 + 4*g**3\/3 + 2*g**2 - g - 26. Give 13*f(d) - 6*i(d).\nAnswer: -d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -583417 + 583423.39969. Let o = w - 6.4. What is o rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, z: 4, y: 1, j: 4, v: 3, b: 3}. What is prob of sequence yij?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (4 - 4) + 13. Let t(d) = 13*d**2 + 3*d + 1. Let x(b) = 40*b**2 + 8*b + 3. Let u(c) = j*t(c) - 4*x(c). Calculate u(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004291707 rounded to five dps?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*t - 2796 + 21300 = 0 for t.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p**2 - 3*p + 3. Let h(f) = -7*f**2 - 4*f + 4. Give 4*d(u) - 3*h(u).\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -405 - -3?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 3. Let f(v) = 11*v**2 + 34*v**2 - 31*v**2 + 22. Give -6*f(p) - 44*h(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**3\/3 - 3*g**2\/2 + 4. Find the second derivative of s(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1008) + 1*sqrt(1008))*4*-6)**2 + 1 + 4.\nAnswer: 2322437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:17 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -22*g**2 + 89*g - 14. Let z(w) = -5*w**2 + 22*w - 3. What is 4*v(o) - 18*z(o)?\nAnswer: 2*o**2 - 40*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 15 = -3*q, -3*q - 25 = -v. What is the units digit of -3 - (-1 + 1) - q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31686 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/292060 and 167\/60?\nAnswer: 876180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 560\/21 - 20\/6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 60*q**2 + 4*q - 184. Determine b(60).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 408.0481 meters?\nAnswer: 40804.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 4*j**2 - 2*j - 3. Let h be l(-4). Let n = h + -1. Suppose n*f - 14 = 3*x + 21, -3*f = -5*x - 40. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14897985493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 474*r**2 - 973*r**2 + 3 + r**4 - 5*r**3 + 497*r**2 - 42*r to k*r + v*r**2 + h*r**4 + o + z*r**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 4*f - 4*f)*(0*f - 4*f + 5*f + (-4 - f + 4)*(-30 - 12 - 2)).\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 798 - 789. Solve -4*w - f = -7*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 1.8, 19, 975?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 9 + 2*r - 11*r**3 + 8*r**3.\nAnswer: -3*r**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/31 (b) -44 (c) -77.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h + 6573 = -24*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 z, and 2 n when four letters picked without replacement from nmmyynyzynzyytynt.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*(24 + -26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*t**2\/11 - 1850*t\/11 + 42.\nAnswer: 2*(t - 231)*(4*t - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**4\/12 + 8*o. Let u(b) = b**2. Give u(t(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6846.721*-2\nAnswer: -13693.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 356 + -191. What is the greatest common factor of 22 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - z**3 - 19*z + 13*z = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 1, p: 2, z: 1}. What is prob of picking 1 i and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 3186419.\nAnswer: -42\/3186419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -391*b**4\/24 - b**3 + 6*b**2. Is q(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513076.8 centuries to millennia.\nAnswer: 51307.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:23 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78567539 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -g - 36. Solve 6 + 4 = -3*u + 4*j, 5*u + j + g = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736)*-1 + -3.\nAnswer: -12*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 + -2.6. Let s = j - -1.5. Sort 1\/5, s, -2.\nAnswer: s, -2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 9:10 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f. Let w(s) = 30*s. Calculate w(t(k)).\nAnswer: 150*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 124 = -4*p, 5*p + 325 = -43*b + 38*b. Let a = 107 + -202. Let m = 28 + a. Is b less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 539864 by 29.\nAnswer: 18616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + m**2 - 5*m + 2. Suppose 3*u + 9 = 21. Let x be 3\/15*u*55\/22. Determine b(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**5\/60 + a**4\/24 + a**3\/6 + 7062*a**2. Let n(f) = -15 - 7*f - 8*f**2 - 8*f - 4*f**2. What is 3*n(u) + 45*x(u)?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flllfpwfff. Give prob of sequence wp.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 115168466909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*l + 3*j = -83*l + 14, -4*l + j - 18 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -238682 (base 14) to base 13\nAnswer: -336833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -265, -292, -351, -454?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 1, p: 4, x: 3, g: 1, u: 2}. Give prob of picking 2 x.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44037923 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7966266 by -33.\nAnswer: -241402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.164 (b) 0.5 (c) 1\/259 (d) 1\/145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 163184395?\nAnswer: -163184390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 8:30 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -20*c**5 - 52*c**4 + 84*c**3 + 116*c**2 - 176*c + 48 = 0.\nAnswer: -3, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:01 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-135)\/36)\/((-1)\/4). Let l be -1*(-25)\/f - (-1)\/3. Solve -l*d + 3 = -v - 5*d, -d = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + l - 170. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/3)\/(12\/(-3384)))\/((-5 - -42) + -34)?\nAnswer: 94\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 50. Let a = -25.12 + i. Let z = -0.12 - a. What is the second biggest value in -5, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a meter in millimeters?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.25. Which is greater: v or -19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2320230 is divided by 3761.\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021684633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -962749, -962738, -962727, -962716, -962705?\nAnswer: -962694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 - 11 = 4*p - 4*m, m = 5*p + 5*m + 105 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in -0.2, -16, -3\/16, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.63 take away 0.1?\nAnswer: -175.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (-7 - -81 - 148)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -116275*z + 2. Let m(c) = 7*c. What is m(q(h))?\nAnswer: -813925*h + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 297198 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 + 53\/161. Let p = v - -39\/161. What is the second smallest value in 0.02, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36\/(-90))\/(21\/(-15)). Let h = -0.1 + 0. Which is the nearest to p? (a) h (b) 2\/17 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 45*k + 87*k - 42*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -1373313401544 and 1.\nAnswer: -1373313401543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-7)*(15\/2)\/15.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 3:04 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 165819 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -23*x**2 + 241493*x - 241470 = 0.\nAnswer: 1, 241470\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -2*3\/9*189\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 0*w + 2*w - 3 + 76*w**2 - 4*w + 2. Let g = 0 - 1. Is m(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(9\/2)*v\/(v**(-2\/61)*v) assuming v is positive.\nAnswer: v**(553\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*q + 0*q + 37*q to r + f*q and give f.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40856920 and 3142840?\nAnswer: 40856920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693497102 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2308 + 2233. What is the second smallest value in 5, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1392.63968 + -0.26032. Do m and -2\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2*a)*(0 + 0 - a) - 918 - 596*a**2 + 918 in the form q + h*a + t*a**2 and give t.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**15*o**11*o)\/(o**(-7)*o*o*o**4))**(-11) assuming o is positive.\nAnswer: o**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 - -65. Let m be (3 + (0 - -3) + o)\/1. What is the second biggest value in 2\/7, 9, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 m when three letters picked without replacement from {m: 3, z: 15}?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 172123 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q + 2*c, -2*q = -c. Solve q = 30*v - 3*v - 108 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 378442499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**7))**27\/((x\/(x*x**(-4\/9)))\/x)**(-2\/51) assuming x is positive.\nAnswer: x**(86741\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -1\/60*b**4 + 0*b**3 - 1\/300*b**5 - 6*b**2 + 0 + 0*b. Factor q(c).\nAnswer: -c*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1136 + 4632 - 1744 - 48*q + 15*q - 1752.\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**0*j\/j**(4\/5)*(j\/(j*j*(j\/j**(2\/19))\/j*j))**48)**37 assuming j is positive.\nAnswer: j**(-315462\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -271297420?\nAnswer: 271297406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s*s**(-4))\/s))\/(s**5\/s*s)*(s**(-6\/11)\/s*s*s)**5 assuming s is positive.\nAnswer: s**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 6:32 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -94, -377, -848, -1507, -2354?\n\"Answer: -94*o**2 - o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*s**3 - 67*s - 72*s**3 + 113*s + 4*s**5 + 388*s wrt s.\nAnswer: 80*s**3 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-86)\/215 + 72\/5. Solve -9*l + c*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = o + 5*f, 0 = -2*o + o - 3*f + 7. Suppose -3*g = -g - o. Find the third derivative of -2*v**5 + 10*v**2 - v**2 + v**g wrt v.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from wiiwlliiliili.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-31*(-1078)\/(-19747))\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*k**2*u**3 + 2*k**2*u**2 - 845*k**2*u + 4*k**2 + 2*k*u**2 + 9*k*u + 23550*u**3 + 2*u wrt k.\nAnswer: -14*u**3 + 4*u**2 - 1690*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(-3\/4)*i))\/(i**(-25)*i))\/(i**(-26)*i**27) assuming i is positive.\nAnswer: i**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -30. Let h be (2 + 6\/6)\/((-1)\/m). Which is smaller: h or 11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -67*c - 2. Let l(p) = 0*p - 34 + 34 + 2*p. Give l(y(f)).\nAnswer: -134*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3681208*n**2 + 534778*n**2 + 399390*n**2.\nAnswer: -2747040*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + (-15)\/9)*-99. Suppose -n + 5*t = -c, 6*n - n = -5*t + 240. Find the common denominator of -65\/9 and -11*(n\/(-30) + 1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*n - 11, -3*r = 2*n + 62 - 67 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is bb3e (base 16) in base 3?\nAnswer: 2102202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.912*171\nAnswer: 155.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1)*(-24)\/(-24) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.735999463 - 0.736. What is r rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.08 - -0.08. Which is the nearest to 0? (a) -1 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -g - 3*b, 5*b + 15 = 3*g + 54. Let k be -2*1\/4*g. Solve -4*n + 11 = -k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 7 - -2 - -4) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 113 = -13. Calculate the remainder when 208 is divided by l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30479 divided by 1051.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (176\/3)\/((-1)\/18750). What is b rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, 5, -5\/2, 0.729?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 2*u + 3. Let g be (-1 + 3)\/((1 - -1)*-1). Let b be s(g). Solve b*p = -p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -362c6a + 0?\nAnswer: -362c6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5479882 and 4505.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16624809 is divided by 646?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 33*v**2 - 72*v + 75. Let t(s) = -18*s**2 + 36*s - 38. Let j(q) = 5*r(q) + 9*t(q). Factor j(m).\nAnswer: 3*(m - 11)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) -2 (c) -16\/21 (d) 239.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + 66*z + 195. Determine u(-30).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2 - 2*u - 8 = 0. What is u?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2026 - 4?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 74170, 148342, 222512, 296680, 370846, 445010, 519172?\n\"Answer: -j**2 + 74175*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5447.1 + -5895. Round c to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 4 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 12*n + 40 = 0. Let z = -14 + n. Let q(d) be the second derivative of -d**4\/12 - 4*d**3\/3 - 4*d**2 - d. What is q(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -19 - 3*m + 10 + 10 + 2*m. Suppose -3*x = -x + 2. Let a(p) = 35*p - 25. Let q(u) = x*a(u) - 25*f(u). Calculate q(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 97.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 8:04 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7503093 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 t when three letters picked without replacement from rccttvgravvvtt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4925, 4926, 4929, 4934, 4941, 4950?\nAnswer: 4961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.43, -5, 0.5?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 303440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 1:02 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 5. Let h be q(8). Does 19 divide h\/(-1 - 2) - -37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 46 = -g, 2*g - 15*j + 90126 - 90024 = 0 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**2 - 10*v**3 + 600*v + 2*v**2 + 615*v - 1228*v in the form l*v + r + t*v**2 + i*v**3 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3)\/((z**(-1\/2)\/z)\/z)*z**(-4)*(z**3\/z)\/z assuming z is positive.\nAnswer: z**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 17984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -h + 23, 0 = u + h + 2*h + 1. What is the smallest value in 0.5, 0.4, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l*l**(-3)*l**(-10)*(l\/(l\/l**(-1\/3)))**10 assuming l is positive.\nAnswer: l**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2245*a**2 - 6706*a + 1366*a**2 + 1604*a**2 - 650*a wrt a.\nAnswer: 1450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/3 <= 665.571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/51 (b) -113 (c) 195 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 + 2*v - 9. What is f(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p - 160. What is a(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -54, -103, -162, -225, -286, -339?\n\"Answer: o**3 - 14*o**2 + 2*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1260 and 4068.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 2. Let o be p(1). Solve -5*y + 2*w = 8, 4*y - 2*w = 3*w - o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-336)\/(-2070) - -14*(-22)\/10626. Suppose 4*z - 5 = -z. Which is greater: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10)*15\/3. Suppose -1 = -4*g + 2*g + 5*j, -7 = -2*g - j. What is the second smallest value in g, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/9 - -9) + (-238)\/(-39) - 6?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 6:04 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 932 - 929. Sort 40, 2, l in descending order.\nAnswer: 40, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f - 42*f = 3*p + 1710900, 5*p - f = -2851472. Let r = p + 997295. What is r rounded to the nearest 10000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 4*c - 74. Suppose -5*i = -2*u + 42, 0 - 16 = 2*i - u. Let o be d(i). Which is smaller: 87 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2091460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*d**3*o - 53*d**3 + 3*d**2*o - 30*d*o**3 + 108*d wrt o.\nAnswer: 23*d**3 + 3*d**2 - 90*d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(4\/5))**(2\/71))**(-2\/97)\/((o*o\/(o\/o**(1\/3)))**(-2\/31))**(-15) assuming o is positive.\nAnswer: o**(-1377524\/1067485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1477, 3098, 4721, 6346, 7973, 9602, 11233?\nAnswer: 12866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/5 - 35*g**2 - 14932*g\/5 - 14756\/5 = 0. What is g?\nAnswer: -62, -1, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * 0.2129093.\nAnswer: 0.17032744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 50*s + 8*s**5 - 9*s**3 + 50*s + 5*s**2 - s**5 - 98*s - 5*s**4 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53099*a**4*y - 23187*y wrt a?\nAnswer: -212396*a**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + 16335?\nAnswer: 16404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 2 = 2. Let v = 25 + -22. Let b be 4*1 + 0 + 0. Solve -z + 5*d = 9, t = -8*z + v*z - b*d - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 56*u**2 + 445*u + 243. Let b be w(-63). Put -4, -47, b, 1 in decreasing order.\nAnswer: 1, -4, b, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*n + 121 = 0, 278826*i = 278822*i + 5*n - 206 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0147 - 52796482.\nAnswer: -52796481.9853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) + (-15 - 195\/(-10)). Sort d, 30, -3 in increasing order.\nAnswer: -3, d, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4946.\nAnswer: 2, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 10*t**2 - 10. Let k be i(10). Let j = 2 - k. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -81874*w**4 - 45979 wrt w?\nAnswer: -327496*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -6*c - 6*c. Suppose 3*v = 4*p + 54, c = 3*v + 4*p - 27 - 3. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -22*n - 37*n - 6*n - 3 + 5*n. Let m(i) = -i**2. Give m(b(p)).\nAnswer: -3600*p**2 - 360*p - 9","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 81923*z - 24. Let t be h(10). Suppose 3*k - 3834197 = -5*x - t, 3*x = 4*k + 1809012. Round x to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37239 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 3 + 3 + 2)*((5 + 0 - 2)*(260*r - 94*r - 59*r) + (-3 + 0 + 5)*(r + 0 + 0) - 3*r + 6*r - 2*r).\nAnswer: 648*r**2 + 648*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4)*y**(-8))\/((y\/y**(-2))\/y**(-4\/13)))**(-17) assuming y is positive.\nAnswer: y**(3383\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 5900*v + 1740500.\nAnswer: 5*(v + 590)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l**2 + l - 4. Let r be j(-3). Let d = r - 60. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44002370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 25. Let w = j - -31. Solve -3 = 5*m - w*x + 1, -2*m - 4*x = -8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/33, 2244.\nAnswer: -2\/7, 2\/33, 2244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w + 0 + 0)*(4*w + w - 4*w) + 893*w**2 + 641*w**2 - 795*w**2)*(11*w**2 + 3 - 4 - 12*w**2).\nAnswer: -740*w**4 - 740*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 = 4*p, -p + 4*q = p - 16. Suppose -p*i = -i - 4*i. Solve -k + i + 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 a factor of 193775131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 5:31 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 12003361?\nAnswer: -12003354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(-41)\/l*l)\/l))\/l**(3\/26)*((l\/l**27)\/l)\/(l*l\/(l\/(l**31*l))*l*l) assuming l is positive.\nAnswer: l**(-497\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 54*a**2 - 81*a - 255. Give n(-3).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 10:06 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from nunxldnxjdx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -30. Suppose -5*q - 216 = x - 5*x, -j*x + 241 = q. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -882952 * 0.27\nAnswer: -238397.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152 (base 8) to base 6.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/1043 and 12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137 + -51. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -24. Suppose -3*c = -2*c - 5*v - i, -2*c - 2*v + 6 = 0. Find the first derivative of -7*p**c + 6 - 12 - 14*p**4 wrt p.\nAnswer: -84*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-78) - (17 - (-824)\/(-52))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77829\/10 + -7717. Let x = s + -272\/5. Find the common denominator of -21\/16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**5\/10 - p**4\/6 - p**3\/6 - p. Let s be g(2). What is the lowest common multiple of 3 and (s\/(-8))\/((-3)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1557 - -2)\/((-5)\/(-10)).\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven halves of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 231*a - 3153. Calculate c(-128).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 18161*x**2 + 9*x - 50. Let h be a(5). Suppose 4*r = -q + h, 0 = 4*q - 2*r - 1366652 - 449338. Round q to the nearest 10000.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8802 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 8*i + 5*i - 25, -4*i = 3*c + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/18)\/1*726\/(-121).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 708, 3640, 9994, 20970, 37768, 61588?\n\"Answer: 200*a**3 + 511*a**2 - a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0071141556 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 2:10 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -787.99999601 + 788. What is r rounded to seven dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373237.1 decades to millennia.\nAnswer: 3732.371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -123+0.7\nAnswer: -122.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13044429 at least 13044428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -196, -282\/23, -0.1?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.1 - 3. Let k = t - 0.1. Which is the nearest to k? (a) 3 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a - 40. Suppose -3*u + a = -u. Suppose u*f - 16 = 6*f + 3*t, 4*f + 3*t = -20. Let g(c) = -c**3 - 2*c**2 - c - 1. Calculate g(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42.73 + -465\nAnswer: -422.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 - 2*v**3 + 318*v + 3*v**3 + 8*v**2 - 323*v - 14. Give x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y - 52 = -5*l, 3*l + 12 = 0. Let m = -22 - y. Suppose 2*d = 3*k - 5*k + 12, m*k - 18 = -4*d. What is the least common multiple of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 12. Let t be d(12). Let u = 191 + -189. Suppose 3*s = u*m - 129 + 52, t = -3*m - 5*s + 87. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - f**2 - 1. Let o(m) = -m**3. Suppose 5 = -22*i + 27*i. Let k(a) = -2*a**3 + 6*a**2 + a + 6. Let g(n) = i*k(n) - o(n). What is -g(v) - 6*s(v)?\nAnswer: -5*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) 2 (c) 0.1 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -43780985?\nAnswer: 175123940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07 times 1.50678?\nAnswer: 1.6122546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/7*(-3 + 0). Suppose -3*p + 0 = -5*w + 185, 0 = -t*w + 3*p + 111. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g**3 + 8164058*g + 185888994 with respect to g.\nAnswer: 15*g**2 + 8164058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1\/(-2 - 66\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 - 2*k**3 - 2 + 5*k**3 + 1 + 6*k to the form d + m*k + w*k**2 + u*k**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Suppose 4*b - 5*z = b + 2, -2*b - z + 23 = 0. Suppose -x*q = -b - 11. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*j*x**4 - 2*j*x + 8*j - 5*x**5 + 2*x**2 - x wrt x?\nAnswer: 264*j*x**2 - 100*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*w = 2*p + 98, -4*w = 0. Let i be 182\/p - (-4)\/14. Find the second derivative of 11*o + 21*o**i - 4*o**4 + 6*o wrt o.\nAnswer: 204*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 632854.2kg to micrograms.\nAnswer: 632854200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 8 - (138 + -125).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.27 times -208?\nAnswer: -1720.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -17) + -10 + -12 + -1 + 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + 0. Let d be (-17)\/(-17) - (1 + 21). Let z = d + x. Solve z = -4*o - 12 + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lggvgggvllvl. Give prob of sequence gl.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**4\/4 + 28*d**3\/3 - 27*d**2\/2 + 6*d - 154. What is u(27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*c + 19*c + 4*c - 149*c.\nAnswer: -314*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0883 + 0.0883. Which is the third smallest value? (a) s (b) 7\/4 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 10:09 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 - c**4 - c**2 + 4*c + 14*c - 17*c + 2 as p*c**3 + k*c**4 + o + t*c + s*c**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 8*z + 104. Let j = z + 26. Let c = j - 2. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 8*c - 30. Find the common denominator of 38\/c - (-30)\/50 and -14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -2\/7*n**7 + 0*n - 1 + 0*n**6 - 1\/3*n**3 + 0*n**2 + 0*n**4 + 0*n**5. What is the third derivative of q(y) wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23770704 or -0.2?\nAnswer: -23770704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60035 - 15198. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 741, 1471, 2201?\nAnswer: 2931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 0) + 0 + -3. Suppose 2*f = -16*f + 2178. Suppose -5*s + f + 469 = b. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*c**2 + 116864 - 103*c**2 + 116872 - 350606 + 116870.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 34)\/(((-10)\/(-1))\/(-5)) - 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-2) + -1)*1. Suppose -o = -y + 1. Does 8 divide o*((2 - 15) + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772183974 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -603 + 393. Let c = a - -204.88. Round c to one dp.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-1))\/(6\/(-4)). Let t be 1 + u + -2 + -3. Which is the closest to 0.1? (a) t (b) -3\/2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-487)\/(-4))\/(2*(-1)\/8). Let o = -476 - v. Calculate the remainder when 54 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from {l: 3, e: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -304, -381, -494, -643, -828, -1049?\nAnswer: -1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 3*i - 5. Let l(y) = 2*y**2 + 5*y - 8. Let w(x) = -3*l(x) + 5*p(x). Let r(h) = -h**2 - 11*h**2 - 2 + 4*h**2. What is r(d) - 2*w(d)?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 4. Let s be v(-2). Suppose -5*n + g + 35 = -4*g, -4*g - 22 = -s*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4 (b) 1 (c) -2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -680 by -9.\nAnswer: 680\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*j - 1 + 477*j + 493*j - 2279*j + 875*j.\nAnswer: 31*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -95\/24229173?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 - -230. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2083898 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -707117*n. Let w(g) = -3*g**2. Calculate w(m(q)).\nAnswer: -1500043355067*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 45. Suppose 13 = s*n + 45. Let w(u) = 5*u**3 + 2*u**2 - 4*u. Let a(f) = -6*f**3 - 3*f**2 + 5*f. What is n*w(z) - 3*a(z)?\nAnswer: -2*z**3 + z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*l - 4. Let m(y) = 3*y**l - y - 27*y**2 + 46*y**2 - 26*y**2. Is m(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v + 4. Let h(t) = 1. Suppose 0 = -2*a + 4*g + 22, -7 = -3*a + 5*g + 21. What is a*k(o) - 4*h(o)?\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 13*l - 19. Let q be w(-11). Suppose -4*r + q*f = -116 - 19, -f = -r + 35. Suppose d + 6 = r. What is the remainder when 116 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 725534.2g?\nAnswer: 725534200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 7*m + 7. Let k be x(-7). Let p = k + -11. Which is bigger: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 + 5 - 81*w + 196*w - 115*w.\nAnswer: 5*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwltalltavwvwa. What is prob of sequence va?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**8\/(r*r**(-2\/3))*((r*r*r**(7\/5)*r*r)\/r*r)\/r*r\/(r\/(r\/(r*r\/(r\/(r\/r**6)))))*((r*r**(-2\/15)\/r*r)\/(r\/r**(4\/9)))\/(r**(2\/27)\/r*r**2) assuming r is positive.\nAnswer: r**(2201\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -3*d + 3, 109*z - 3*d + 21 = 113*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, 0.4055, 149, 0.4 in ascending order.\nAnswer: 0, 0.4, 0.4055, 0.5, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -609 - -261. Let s = -349.61 - c. Round s to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4, 180, 61, -0.27, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255727?\nAnswer: 47, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 3*v - 20*v + v + 2*v - 5*v + (2*v + 1 - 1)*(-1 - 1 + 0))*(-3*v**3 + 9*v + 5*v**2 - 9*v).\nAnswer: 99*v**4 - 165*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:59 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 4 (b) -1\/8 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3778713 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49265 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Let p(x) = -10*x - 4*x + 2*x. Give p(k(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 5*o - 4*p, -p = -4*o - 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**2 - 548152*o - 1096296 = 0.\nAnswer: -274074, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.245*-0.122\nAnswer: 0.27389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((6*(sqrt(125) + 0 - sqrt(125)) + (sqrt(125) - (-4 + -1 + sqrt(125))))*-2 + 0))**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3762*y - 18817. Determine l(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 2*y)*(-y + 3 - 3) + 25*y + 17*y**2 - 25*y.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*(sqrt(1573) + (sqrt(1573) + sqrt(1573)*2 - sqrt(1573) - sqrt(1573)) + 3 - (5 + sqrt(1573) + 1 + sqrt(1573) + sqrt(1573)))**2.\nAnswer: 2376*sqrt(13) + 56952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = v + 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < -5891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fofffttnf. What is prob of picking 2 t?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.4 * -1110.\nAnswer: -31524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3453, -3451, -3447, -3441, -3433, -3423?\nAnswer: -3411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (10 - (-5 + 6 + (4 - -4)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 161306213 and 7568.\nAnswer: 161313781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -14*q + 24. Suppose 3*s = -q*d - 15, d + 0*s - 4*s = 0. List the prime factors of (d - 44\/(-4)) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d**3 - 20*d**2 + 121*d + 9. Let o(w) = 5*w**3 + 9*w**2 - 58*w - 4. Calculate -9*o(k) - 4*z(k).\nAnswer: -9*k**3 - k**2 + 38*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -5, 3, -2 in descending order.\nAnswer: 43, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241508 and 4537?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 11:19 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.017, 5, -225, 1\/6?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 + 30. Does k = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 4. Let f be o(4). What is the units digit of (2\/(-3))\/(f\/126)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 7*s**2 - 3*s + 1. Let f be k(-6). Let z = f + 65. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 30*g + 33. Let a be s(14). Let p(q) = q**3 + 10*q**2 - q + 3. Let x be p(-10). Solve -a*i + y = -15, -3*y = -3*i + 2*y - x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:39 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 1:28 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*p - 23 - 1, 0 = 4*f - 3*p - 81. What is the greatest common factor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -117. Suppose -5*y + m*c = 9*c, 2*y = -4*c. Let h = -4 + 7. Solve -x + h*w - w - 6 = 0, 5*w - 20 = y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3819625 is divided by 2128.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47550?\nAnswer: 2, 3, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k + 2*k + k)*(0 - 2*k**3 + 0 + k) + 7*k**4 + 0*k**4 - 3*k**4 - 2*k**4 - k**4 + 4*k**4.\nAnswer: 19*k**4 - 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(17) + 2)**2 + sqrt(68) + -1.\nAnswer: 20 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 77550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-17)*q*q*q\/(q\/q**19)*q*q)\/(q*q\/q**(-2\/23)*q*q**24) assuming q is positive.\nAnswer: q**(-485\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 0 - (-2 - 16\/(-4)). Solve -h = 5*i - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let j(w) = 3*w - 4. What is j(q) - 6*t(q)?\nAnswer: -3*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93572025.\nAnswer: 3, 5, 1247627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(133)*5*-3)\/(-2*sqrt(1008) + -3*sqrt(252)).\nAnswer: 5*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 7637924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1905, -3810, -5715, -7620, -9525?\nAnswer: -11430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.7282 - 0.2718. Put b, 0, 1\/8, -8, 4 in increasing order.\nAnswer: -8, b, 0, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 - -76.2. Let t = 0.19 - 0.39. What is the fourth biggest value in 3\/8, p, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -396*v**2 + 491*v + 1722. Differentiate f(p) with respect to p.\nAnswer: -792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463457940 divided by 44?\nAnswer: -10533135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 4) to base 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51.2 + -51. Which is the closest to 0? (a) 3\/5 (b) -0.5 (c) j (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 473332569 and 717?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*i - 0. Suppose -2*d = 6, i*f + 3*d - d = 19. Suppose 5*h + a = -3*a + 770, -25 = f*a. Is h a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 66 - 34 = 0. Calculate the remainder when 44 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76140192 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 43 = -2*c - 44*n + 62 + 71, -6 = 2*c - 5*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 114959.0934 rounded to the nearest 100?\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*60\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -29965*f - 299763. Calculate b(-10).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22199412 divided by -278.\nAnswer: 79854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13*z**2 - 199*z + 124. Give n(-16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 10 + -5 + (22 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide -344457780 by -50790.\nAnswer: 6782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = -h + 2*h + y, 352 = 2*h + 5*y. Suppose 5*j = -d - 345, -4*j - 4*d = 106 + h. Let u = -45 - j. Calculate the highest common factor of u and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/3535 and -93\/530.\nAnswer: 374710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8416767?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 2. Let o be (-2)\/2*r - -45. Suppose 5*q - 14 = o. Calculate the highest common factor of 24 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + x. Let d be w(5). Let j be (0 - 5)*(-8 - -5). Let o = -5 + j. Calculate the greatest common factor of d and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + l + 3*l + 16, 0 = 4*r + 2*l - 18. Let k be r\/24*10*3. Solve k*q + 10 = 0, 2*o + 2*q = 4*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197087 is divided by 197020?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*y - 30, -5*y - 5*w + 11 = 61 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5437668 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o + 12. Let k be 7\/o - 2\/(-8). Suppose -3*u + 11790 = -2*t + k*u, -5*t = -5*u + 29490. Round t to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2242 (base 6) to base 16\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 5*v - 150, 21*g = -37*g + 21*g - 4*v - 85 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(((-780)\/9)\/(-10))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 372282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiiyyyyttrtii. What is prob of picking 2 i?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/7 - 89\/140. Calculate the common denominator of -1\/3 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 1:57 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 629, -4, -40 in increasing order.\nAnswer: -40, -5, -4, 0, 629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 - (-19 - 55 - -20).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*j**3 - 8*j**2 - 3*j - 1164 wrt j?\nAnswer: 102*j - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063873 is divided by 31289?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52260 + -17806. List the prime factors of b.\nAnswer: 2, 7, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4579 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4789267 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Let m = 12 - q. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6)\/c*c**(2\/27) assuming c is positive.\nAnswer: c**(-187\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.28 - -0.28. Let t = 8.86 + g. Put -2\/11, t, -0.4, 0.5 in decreasing order.\nAnswer: 0.5, t, -2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 32. What is the remainder when 29 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -28*c + 2. Let w be a(-4). Find the common denominator of 37\/20 and -1 + w\/4*(-10 - -9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2358234*p**6 - 3*p**2 + 18*p + 687 wrt p.\nAnswer: 282988080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.44127 rounded to 1 decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*j - 2*y, 4*y = 5*j. Let i(l) be the first derivative of -1 + j*l + 0*l**2 + 2\/21*l**3. Determine r so that i(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 + 1. Let p(h) = -h**2 + h. Let l(j) = -5*p(j) - w(j). Let t be l(6). Solve 0 - 5 = o + f, -o - 9 = t*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -21. Let m = v + 9. Let z = -6 - m. Solve z*c + 2*h - 3 = -7, -2*h = 4*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 + 3*j**5 + 2*j**5 + 0*j**4 + (24*j**3 - 15*j**3 - 11*j**3 + 6*j**4)*(-j - 4*j + 6*j).\nAnswer: 11*j**5 - j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzd when three letters picked without replacement from {x: 2, z: 3, d: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 438 + -438. Suppose z = k + k + 3*j - 4050, 0 = j. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-567)\/567)\/(15\/2).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/56)\/(468\/(-1248))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (97 + -45 - 13) + -7.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 6, -3, 4, -47, 5.\nAnswer: -47, -11, -3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/30)\/((-598)\/(-10)). Is 0 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q + 6*q + 56. Which is the second biggest value? (a) q (b) 0.1 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 22. Let g(h) = -8*h**k + 6 + h**3 - 5*h**3 + 6*h**3 - h**3. Calculate g(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2\/6 + 49*w\/6 + 272\/3 = 0?\nAnswer: -32, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14792 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**5 + 2361176*k**4 + 4722364*k**3 + 2361184*k**2 = 0.\nAnswer: -1, 0, 590296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43\/3? (a) 2 (b) -2\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**14*s*s\/(s\/(s*(s*s*s**(-30))\/s)*s)*s*s)**(1\/36) assuming s is positive.\nAnswer: s**(-11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.4 (b) -9554 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - 63 - (-7 + 30 - 10 - -10)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 59210 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbn. Give prob of picking 1 b and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -3\/2*i**4 + 18*i + 0 + 11\/3*i**3 - 63\/5*i**6 - 27\/2*i**5 + 2*i**2. Factor z(g).\nAnswer: -2*(3*g + 1)**3*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2072971556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3630 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 1. Suppose -f - 11 = -5*q + 3, 5*f = 2*q - 1. Let d(u) be the third derivative of -u**4\/24 + 2*u**3\/3 - u**2. Determine f*d(n) + 2*p(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7745877 and 24831?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0613 * 4.\nAnswer: -0.2452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 651251524 divided by 133.\nAnswer: 4896628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3 (c) -3 (d) 59064 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 358 = -56. List the prime factors of k.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 8754694.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 4*p**2 - 6*p + 3. Let r(y) = y**2 - 6*y - 22. Suppose -14 = -2*a + 4. Let z be r(a). Give u(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9949*h**3 + 10*h**2 + 49*h + 73. Is u(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 157369402 and 177.\nAnswer: 472108206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1834 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 0.06 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 - 7*z**2 + 7*z**2)*(-15 + 0 + 3 + (3 + 1 - 2)*(-1 + 1 + 2)) + (2*z**2 + z**2 - 4*z**2)*(3 - 3 + z).\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 6\/343?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**2 + 5*i**3 - 3 + 3*i + i**2 - 4*i**3. Let y be 1 + ((-5)\/(-3) - (-5)\/15). Give h(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2144.6 + -2144.2. Which is the third smallest value? (a) x (b) 0.9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90514.\nAnswer: 2, 167, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.4 + -6.2. What is the nearest to w in 1\/9, 0.1, -2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/57 and -82\/45?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7643 + -7618. Let m = 0 - -2. What is the remainder when z is divided by 8 + (4\/m)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, b: 7}. What is prob of picking 1 o and 1 b?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 23*i**2 - 20*i + 51. Determine y(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**3\/7 + 32*f**2\/7 + 60*f\/7 = 0?\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -22. Let x = o + -8. Suppose 4*z + 0 = 3*d + 28, -z + 16 = -3*d. Put d, x, 5 in decreasing order.\nAnswer: 5, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 10*q - q = -1875 + 1920, 21 = 2*g - 5*q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2902*u**3 - 2902*u**3 + 10*u + 1456*u**4 - 56*u**2 + 11*u wrt u?\nAnswer: 34944*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 9*j + 21. Let u be d(6). What is the third derivative of -326 + 21*z - u*z**6 + 326 + z**2 wrt z?\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 4)*(-2*i**2 - 3 + 3 + (2*i**2 + 2*i**2 - 2*i**2)*(-3 - 3 - 1)) in the form s*i + c + d*i**2 and give d.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22963098 to 4 decimal places.\nAnswer: 0.2296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -94*w - 2. Let q be z(1). Let h be ((-75712)\/(-60))\/(-13) - 4\/(-6). Let r = h - q. Which is the smallest value? (a) r (b) -0.5 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248 - 110. Solve -g*j + 18 = -132*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85962 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/18)\/((-3553)\/114).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.064 + 6.464. Let p = -6 + y. Let c = 0.161 - 3.161. What is the third biggest value in -4, p, c, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7235*v**4 - 10*v**2 - 10*v - 10221. Let g(j) = -3620*j**4 - 6*j**2 - 6*j - 5111. Let d(q) = 3*f(q) - 5*g(q). What is the derivative of d(u) wrt u?\nAnswer: -14420*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155436626 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 + 38\/8. Let p(t) = 2 - 17*t - 6 - 14 - 5*t**2. Let i(z) = -3*z**2 - 11*z - 12. Let s(x) = 8*i(x) - 5*p(x). What is s(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963033?\nAnswer: 3, 17, 23, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/2)\/(0 - 1). Suppose -t + o*t = -4. Let j(i) = 4*i - t*i + 3*i - i. Let y(l) = 3*l. Determine y(j(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b (base 16) to base 9.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -387 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/5)\/(480\/(-7050)) and -131\/726?\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 13*r - 23. Let n be (98\/(-98))\/(1\/11). Determine q(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -587*a**2 + 3*a - 6. Let v be r(11). Round v to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58788*o*q**2 + 3*o*q + 208762787*o - 2*q**2 wrt q.\nAnswer: -117576*o*q + 3*o - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41806 = 5*l + 4*b, -25062 = 3*l - 108*b + 105*b. Let i = 267355\/32 + l. What is the common denominator of (-1)\/4 + (-13)\/(-22) and i?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 6) + (4 - (10 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 + 1 = -4*s, -5*s = -2*x + 28. Let n be (-2)\/x + 9\/10. Let q(l) = -l - 6. Let t be q(-4). What is the closest to n in 5, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65595 = 127*w + 22288. What is the remainder when w is divided by 166?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -60 - i**2 + 2*i**2 + 5*i + 58. Let a be c(-6). Suppose 3 = a*t - 1. Let o(r) = -r + 1. Determine o(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/5 - 203*x**4\/5 - 2354*x**3\/5.\nAnswer: x**3*(x - 214)*(x + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/9)\/((-25)\/(-60)). Solve -8 = -y - u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*g + 927*g + 597*g.\nAnswer: 1876*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -7*k + 3*k. Let z be (18\/(-21))\/(1\/k). Solve z*v = 2*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 20 = -v. Calculate the remainder when 1 + 25 - (2 + -4) is divided by v\/(-10) + 208\/20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 210 - 315. Let f be (-5)\/(i\/6)*(-2)\/(-2). Let a = -1 - -1.1. Which is greater: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148 + 1034\/7. Which is the second smallest value? (a) 0.4 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250 divided by 5.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -47049, -47154, -47285, -47442?\n\"Answer: -13*p**2 - 66*p - 46970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4580640, 2, 5 in decreasing order.\nAnswer: 5, 2, -4580640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10540633 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Suppose l = g*l. Suppose -n = -l*n - 3. Solve -12 = -c - n*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 8 = 0, 0*c - 2*c = -2*f + 34. Is 247 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*28677.\nAnswer: -3154.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b. Let i be z(-4). Let n = i + -12. Let u = 17 - 12. Sort u, n, 4.\nAnswer: n, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*v + 135*v - 89*v**3 + 127*v**3 + 54*v**3.\nAnswer: 92*v**3 + 86*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6414, -25708, -57854, -102846, -160678, -231344, -314838, -411154?\n\"Answer: x**3 - 6432*x**2 - 5*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -110011001001000 (base 2) to base 10\nAnswer: -26184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 29\/4 (b) -1.1 (c) -9 (d) 2 (e) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2476992266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/15)\/((-32)\/((-12160)\/114)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 101 - 26. Let v be (z\/45)\/((-4)\/6). What is the closest to -0.2 in 0.4, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 62 = -2*u, 3*k - 19 = 2*u - 80. Suppose -b = b - 2*m - u, 4 = -2*m. Calculate the smallest common multiple of (-3)\/2 + 312\/16 and b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-5) + 1)*-70. Let v(d) = 4*d + 248. Is v(s) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -359.\nAnswer: 5\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.22 - 131.22. Let j = 128.999907 + u. Round j to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 8:32 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**(-23)*h*h**(-11) assuming h is positive.\nAnswer: h**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((245\/(-2))\/(-7)). Let t be (-132)\/117 + (-636)\/(-1378). Which is the biggest value? (a) u (b) t (c) 0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 1:26 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*n = -269*n - 81*n - 431 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 650842015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -6*f + 2*f + 12, -4*w - 2*f = -62. What is the remainder when 204 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55761, 55653, 55545, 55437, 55329?\nAnswer: 55221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(171) + -1*sqrt(171)) - sqrt(171)) + sqrt(171))\/(sqrt(441) + -2*sqrt(441)) + -6*((sqrt(2299)*-1 + sqrt(19))*-4)**2.\nAnswer: -182400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 - 12*n**2\/5 + 6*n\/5 + 4.\nAnswer: 2*(n - 5)*(n - 2)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l + 37*l = 5*j - 135, -36 = -l - 4*j. Solve 9*m = l - 42 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**4\/24 - 2*l**2. Let z(k) = -46 + 14*k + 46. Calculate z(t(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.422, -0.06 in ascending order.\nAnswer: -0.06, 2\/9, 0.422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 - 3*n**5 + 5*n**5 + (4*n**2 - 6*n**2 + n**2)*(-21*n**3 - 4*n**3 - n**3).\nAnswer: 25*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137255395 + 642.\nAnswer: 137256037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -5. Let m be (-23)\/x - 2\/1. Let u(p) = p - 17. Let f be u(16). Is m > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-4)*924\/(-35). Let z be k\/((-2)\/((-400)\/(-12))). Round z to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13\/2625?\nAnswer: -13\/2625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3909210 to the power of 1\/2, to the nearest integer?\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 9012\/(-816))\/((-3)\/(-8)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -204, 0, -1.\nAnswer: -204, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 15*a - 26.\nAnswer: -(a - 13)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -201*c*l**3 - c*l**2 - 1176*l**3 + l - 27043 wrt l?\nAnswer: -1206*c - 7056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 7. Suppose -5*a = 3*m - 45, 0 = -s*a - 0*a - 2*m + 45. Is 6 a factor of ((-96)\/a + 1)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000040211 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15204 = 291*l - 2982 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**3 + 2*i**2 - 6*i + 6. Let u be w(-5). Let s = u - -875\/3. Let o = 2611 - 2609. Is s less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -26*t + 75. Is j(-23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 11184229?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12064 is divided by 149.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 4*o - 2*o**2 - 1 - 1 + 0*o. Calculate the least common multiple of y(-4) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3208000 to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 1245*w**2 + 14400*w - 42660.\nAnswer: 5*(w - 237)*(w - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 5*i**4 + 2*i**2 - 5*i**4 - i - i**4 - 4*i**2 to the form a*i**2 + m*i + q + r*i**3 + u*i**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769 equal to 2770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c5 + 5a?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1206 + 3665\/3. Calculate the common denominator of q and -4 + ((-86598)\/(-1140))\/17.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 5*a**3\/3 + a**2 + 3*a - 8. Let o(f) = 4*f**2 + 2*f + 2. Determine 3*o(y) - 2*u(y).\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/5 (b) 860\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -6*z - 7308 + 7334, -3*u - 6 = 3*z - z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -253\/7 + 5833\/161. Let w = -12 - -17. What is the nearest to 0.05 in -0.2, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yey when three letters picked without replacement from yeeeeyee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55316923 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 14. Is l != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h = -146*h + 124416. Calculate the highest common factor of h and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/1745 and -123\/340.\nAnswer: 118660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 284822838*f**3 + 37*f - 306130 wrt f?\nAnswer: 1708937028*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/883? (a) -6 (b) 1\/8 (c) 4 (d) 1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.42 minus -1?\nAnswer: -12.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyn when three letters picked without replacement from {y: 3, n: 3, k: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-8)\/(v**(-3\/2)*v))\/(v**1\/(v*v*v*v*v\/(v\/(v*v**(1\/4)))*v)))**(-3\/16))**19 assuming v is positive.\nAnswer: v**(513\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 190\/(-15) + 0 - 6\/(-9). What is the least common multiple of 7\/((-28)\/y) + 5 and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2)*(-1034)\/(-141). Solve 5*h - 16*h + x = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 48*p**3 + 7*p**2 - 17*p + 9. What is j(1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 995. Let k(a) = 143331*a. Give k(r(i)).\nAnswer: -143331*i**2 - 142614345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -837 divided by -279\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025598709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*v - 5*v = 12, -3*v - 6 = 0. Suppose i*m - 1381 = -2*w + 3*w, 3*w = 4*m - 2757. Let r = -389 + m. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9020000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*j**3 + 35*j**3 - 75*j**3 + 2 - 2*j**2 in the form m + s*j + g*j**3 + u*j**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 1 - 1 + 1 + 1 + (6 + 0 - 4)*(-3 + 2 - 1) + 5 - 2 - 1 - 1 + 2 - 2)*(-1 + 1 - 3*m).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -127*x + 367. Calculate k(4).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-315*h + 41*h**2 + 315*h)*(3*h - 2*h - 3*h).\nAnswer: -82*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Let l = 45 + -79. Let m = n - l. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 33. Let q be u(16). What is the tens digit of (-8)\/2 - (-141 + q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, 53, 35, -39, -187, -427, -777, -1255?\n\"Answer: -3*z**3 - z**2 + 44*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(8)\/(sqrt(100) + 4*sqrt(100)) + -4)**2.\nAnswer: -24*sqrt(2)\/25 + 10018\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150328853?\nAnswer: 83, 967, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/226017 and 83\/66.\nAnswer: 452034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 1. Let h be w(3). Suppose 0 = 4*y - 8*y - 5*a - 14, -4*y = 4*a + 12. Put h, y, 1 in increasing order.\nAnswer: y, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(166*x - 1207 + 1207).\nAnswer: -166*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**7\/210 - 7*j**6\/24 - 103*j**5\/30 + 220*j**4\/3 - 400*j**3 - 11909*j**2. Factor c(t).\nAnswer: -(t - 3)*(t - 2)*(t + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x**2 - 30*x**2 - 21*x**2 - 34*x**2 + 8*x**2.\nAnswer: -115*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.047 * -162221\nAnswer: -7624.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*r = r - 66, 0 = 3*g + 2*r - 99. Let x be 77\/g + 2\/3. Solve 0 = -x*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/5))**28)**23*(r\/(r\/(r*r\/(r\/r**(4\/9))))*r\/r**(-1\/8))\/((r*r**(2\/17)*r*r)\/r*r*r**(-2\/11)\/r) assuming r is positive.\nAnswer: r**(34725919\/67320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29082670, -29082671, -29082672?\n\"Answer: -i - 29082669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 0*r**3 + 0*r**2 + 0*r - 2\/5*r**5 + 0*r**4 - 10. Factor d(k).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796 + 798 - 1591 + 33*y.\nAnswer: 33*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9359 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 215564324 + 0?\nAnswer: 215564324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11741234.\nAnswer: 2, 5870617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, c: 4, d: 2, a: 2, g: 2}. What is prob of picking 1 c, 2 g, and 1 a?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -0.5 (b) -1.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -237651000 to the nearest one million.\nAnswer: -238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 18*n**2 + 38*n + 43. Let z be c(20). Suppose -2*o + z*a = -38, 33 + 9 = 2*o - 5*a. Calculate the greatest common factor of o and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 2:18 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11489, 11120, 10751, 10382, 10013?\n\"Answer: -369*i + 11858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 = 5*h + g, 0 = 2*h - 0*h + g - 129. What is the remainder when 563 is divided by h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j + 31*j = 12*j - 144. Sort -2\/5, 4, 55, j in decreasing order.\nAnswer: 55, 4, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+-9.210736\nAnswer: -7.210736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = -4*q - 5*d + 20, 0 = -3*q + 4*d + 22 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5268 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1141130404 (base 5) to base 3.\nAnswer: 12001000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*5\/35 + 4. Sort 3, -5, v, -4 in decreasing order.\nAnswer: v, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/((sqrt(75) - -3*sqrt(75)) + sqrt(75)).\nAnswer: sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 146*f**3 - 128*f - 126*f - 130*f - 132*f + 516*f.\nAnswer: 146*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -27*p**5 - 203970*p**4 - 106079980*p**3\/3 - 1558336600*p**2 - 687364480*p - 228540928\/3 = 0.\nAnswer: -7378, -88, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 5 (b) -4 (c) -0.4 (d) 2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1010.17 - 1005. Let r = 0.17 - k. What is the second biggest value in r, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfzznnvz. What is prob of sequence nvfz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/12*((-56)\/119)\/(2\/4).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 1 + -1 + 0. Suppose 0*s + 3*s + 6 = u. Let i be s\/(-7) - 61\/(-7). Solve g + 3*l = 13, -3*g + l - i = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 240236?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)\/k*k**(-7)*k**(-2\/9)*k**(2\/7))**17 assuming k is positive.\nAnswer: k**(-18139\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9137 + 5124 - 4915)*(-3*l - 2*l + 7*l).\nAnswer: -17856*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -1\/120*n**5 + 1\/1080*n**6 + 1\/36*n**4 + 2\/3*n**3 - 2 + 0*n + 0*n**2. Let l(k) be the third derivative of q(k). Factor l(c).\nAnswer: (c - 2)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 62. Let d be 6\/(-4)*5\/(10\/j). Solve 4*u = g + 17, u - 5*g + 5 - d = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206990536 take away 0.338?\nAnswer: -206990536.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151932 and 264?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (22 + -16)*3\/(-2). Let l = i + 10. Which is the nearest to -0.1? (a) 1.4 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.11 - 1.14. What is the closest to -1\/2 in 0.1, 1\/6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 45.907 * -0.0787\nAnswer: -3.6128809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 67*z**2 + 16*z - 7. What is w(2)?\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1735 + -1735.08. Which is the closest to 1\/2? (a) -2 (b) m (c) 5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 0, -3, 22538, 154, -1 in ascending order.\nAnswer: -3, -1, 0, 1, 5, 154, 22538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -535.08 - -0.08. Let l = g - -533. Let h be ((-1)\/(-12))\/(2\/(-4)). What is the second biggest value in h, 2\/7, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -10 - 6) + 3 + (-51 - (-1 + -2)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -617 + 627. Let j(p) = -p**2 + 9*p - 11. Let m be j(6). Solve -r + m = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -4\/3, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 107, 882, 3013, 7184, 14079, 24382, 38777, 57948?\n\"Answer: 114*n**3 - 6*n**2 - 5*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5341819 * 49.\nAnswer: -261749131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -3*d**2 + 0*d + 1\/6*d**4 + 0 + 1\/10*d**5 + 0*d**3. Find the second derivative of t(y) wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 414*l + 246. Give t(-1).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 u when three letters picked without replacement from iuiudduiiiufiiiiufvi?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 411293219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**3 - t**3 + 3*t**3)*(-15 + 15 - 33*t) in the form j*t + u*t**3 + f*t**4 + d + g*t**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 28. Let f(v) = 8*v + 1. Let u be f(1). Let b be u\/20 + (-4)\/20. Do x and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/17391?\nAnswer: -2\/17391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12.7179 + 1474\nAnswer: 1461.2821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50079051 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2. Let d(y) = -192881*y + 13233. Let j(s) = -802*s + 55. Let n(v) = 5*d(v) - 1203*j(v). Calculate f(n(q)).\nAnswer: -160801*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/331747 and -43\/3.\nAnswer: 995241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3945)\/(-2630)*14\/15?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + s = 3*s, 4 = 4*o - 2*s. Let d(z) = -z**2 - 10*z - 6. Let i be d(-8). Suppose i = 4*y - 6. Solve -6*f + 4*u + 4 = -f, 4*u = -o*f - y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p - 3. Let r be u(3). Solve w + r = -2*l, 3*w + w - 36 = 4*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2.4, 187.1, 104?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-3) - (-4)\/(-12). Suppose 6 = u - a. Suppose p = -3*p + 5*v + 3, 4*p = -3*v + u. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.04 - -6.04. Let t = 0.01 + 1.99. What is the closest to 6 in i, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 60 - 8 = 0. Suppose j*p - 12*p = 61. List the prime factors of p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*z = -6*z - 9, 8 = -4*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4136 - -12520. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -653670, -653674, -653686, -653712, -653758, -653830?\nAnswer: -653934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1144 = 42*w - 29*w. What is the hundreds digit of 44\/w*(-1196)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -0.5 (b) -145 (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520322 + 1891378 = 12*a. Suppose 10*v = 35*v - a. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -26 + -20*(-1)\/4. Let w(s) = -16*s**3 - 7*s**2 - 7*s + 7. Let r(h) = -2*h**2 - 2*h - 16 - 25*h**3 + 18 + 20*h**3. Determine a*r(o) + 6*w(o).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/32 - 5\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r - 12. Let w be m(2). Let a = -0.4 + 0. Put -1, w, a in ascending order.\nAnswer: w, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2 + 3. Let i = 6 + n. What is t in 17*t - 17*t - i + t**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.505 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 7*g**2 - 14*g - 8.\nAnswer: -(g + 1)*(g + 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 90*g**2 - 339*g + 466. Suppose 2*s - 13 = s. Calculate the remainder when a(-86) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34002598.\nAnswer: 2, 7, 31, 78347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1587210 and 764?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366647 is divided by 581.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, j: 3, w: 2, r: 3, o: 1, a: 1}. What is prob of picking 1 w, 1 s, and 1 o?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnxqwuunuxk. What is prob of picking 1 k, 1 w, and 2 n?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-24)*15\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 8*d + 18. Suppose -15*n - 3*z = -16*n - 24, z = 5*n + 64. What is u(n)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 + 2202*h**3 - 4.\nAnswer: 2202*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (1 - 0 - -1). Suppose -o*z = -z - 2. Which is the closest to z? (a) 1 (b) -1\/3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2323*f**3*j**3 - 1324*f**3*j**2 - f*j**5 + 5*f*j**2 wrt j?\nAnswer: 13938*f**3 - 60*f*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2523 - 1411. Let t = s + -648. Suppose t + 524 = 4*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3501 + 3498. Put v, -4, 5, -118 in decreasing order.\nAnswer: 5, v, -4, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f. Let j(q) be the second derivative of q**3\/2 - 48*q. Let u(x) = -10*j(x) + 4*r(x). Let i(n) = 3*n**2. Calculate u(i(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -1.2. Let p be -2*((-44)\/(-40))\/11. Let v(k) = -k + 1. Let a be v(1). What is the nearest to g in a, p, 5\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 277*n - 3826*n + 17 + 22 - 22 to g + v*n and give v.\nAnswer: -3549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 12. Suppose 0 = -3*h + k, -h - 28 = -2*w + h. Solve n - w = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.2 (c) -3 (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42164 is divided by 283.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3*f - 9. Suppose 2*x + 3 = f*x. Suppose -2*r - 8 = -0*r - x*b, -5*r - 4*b = -26. Solve 4*v = r*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14.37028 from 5741.8.\nAnswer: 5727.42972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*a + 111 = -5*k, 5*k - 264*a + 265*a = 149 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1350672 divided by -4443\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3351 is divided by 280?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - ((-1071)\/(-204) - (0 + -1)). Which is the closest to 2\/5? (a) 0.04 (b) x (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 966739566 + -1063996323.8. Let z = 97257480.799653 + s. Let a = -723 + z. What is a rounded to 5 decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 42 = 6*s, -2*h = 2*s - 4*s + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 12161.7?\nAnswer: 12179.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 10*a - 6. Suppose -37 = -4*j + 7. Let p be z(j). Suppose p*l - 27 = -82. Do l and -9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v - 13. Let h be q(5). Let a(s) = 54*s**2 - 39*s**h + 6 + 9 - 31*s. Is a(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 5116*s**2 - 144160*s + 1050000.\nAnswer: -4*(s - 6)*(s + 35)*(s + 1250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 50 = 9*f. Let c = 0.1 + 0.1. What is the closest to f in c, 0.4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -110, -2, 5, 4 in ascending order.\nAnswer: -110, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5606 is divided by 2688?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-2 - -7) + 0 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1050)*-5)\/(5*sqrt(42)\/(sqrt(28)\/sqrt(4)))*3.\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f - 122*f - 128*f + 16*f.\nAnswer: -212*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 445*n**2\/6 - 112*n\/3 + 223\/6.\nAnswer: (n - 223)*(n + 1)*(2*n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 239*z - 41 - 48 + 145 - 56 in the form o + r*z and give r.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*d**2*i - a**2*d*i + 2*a**2*i - a*d*i - 8*a*i + 3*d**2*i wrt a.\nAnswer: 4*d**2*i - 2*d*i + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, and 1 q when three letters picked without replacement from {q: 1, m: 1, k: 2, g: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - v + 2*v - 2*v - 5. List the prime factors of s(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n + 110. Calculate p(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 20 = 8*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1*9750\/1875?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**2 + 7*y - 6. Let x(i) = -i**2 + i - 1. Determine -m(k) + 5*x(k).\nAnswer: k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 - 236*q\/5.\nAnswer: 2*q*(q - 118)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 3:57 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216896397 is divided by 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(60 - 2*r - 65 + 17*r).\nAnswer: -30*r + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(1\/10))\/t**2)\/(t\/(t\/(t*t\/(t*t*t\/t**(1\/3))))*t*t*t)**20)**(-6\/13))**6 assuming t is positive.\nAnswer: t**(8562\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -7*c + 28. Let g be 2 + 3\/(3\/4). Suppose -n - 4*n + 56 = 2*s, -g = 3*s. What is the greatest common divisor of n and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*c + 9 = 0, -3*r + 84 = -3*c + 21. Suppose 4*t + 234 - 974 = 0. Suppose 3*w + r - t = 0. What is the highest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d**2*t - 991*d**2 + 468*d - 8642057*t - 1 with respect to t.\nAnswer: -4*d**2 - 8642057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15116.\nAnswer: 2, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4707020 divided by 941404?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3958263ml to litres.\nAnswer: 0.0003958263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.38552522 - -252.37675522. Let s = y - 252. Round s to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*m - 12, 2*p + 2*m = 5*m - 2. Let a be p + 2 - 22\/(-10). Let x = 76\/35 - 18\/7. What is the closest to a in x, 2, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6679631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 128*z**2 - 441*z**2 + 46.\nAnswer: -569*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 427\/(-142) - (-5 - -2). Let h = -421\/710 + s. What is the third biggest value in h, -2\/5, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41.0329 + -10.2881. What is p rounded to the nearest integer?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-436890)\/(-50))\/((-9)\/(-15)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*t + 2*t - 58 + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/7))**11*t\/t**(-1\/9)*t**(4\/19) assuming t is positive.\nAnswer: t**(20392\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643059 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwcuxwwwwwxwbyw. What is prob of sequence uc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(1331) + 0)*4)**2 - sqrt(176)\/(2*sqrt(4))).\nAnswer: -21296 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 21 + 18 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**2\/2 + 190549*h + 3429720 = 0.\nAnswer: -381080, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108775908 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -168556.764 to the nearest one thousand.\nAnswer: -169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154 (base 8) to base 12.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11100100001001111110 (base 2) to base 15\nAnswer: 136d6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:38 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 162*t - 690 = 139*t, -4*r + 12*t - 60 = 10*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**16*q)\/(q\/(q\/(q\/(q*q*q**(-15)\/q)*q))))\/((q*q*q**(-1\/5))\/(q*(q\/(q*q*q**(1\/3)))\/q)))**(45\/4) assuming q is positive.\nAnswer: q**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -81*p**2 - 4*p + 4. Let z(y) = -40*y**2 - 2*y + 3. Give 3*w(c) - 5*z(c).\nAnswer: -43*c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a - a + 2*a + 0*a. What is the units digit of v(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 35*m. Let t(l) = 17*l. Let s(r) = -6*i(r) + 13*t(r). Let f(g) = 3*g**2. Determine s(f(o)).\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 422, 425, 430, 437?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.241 - 0.911. Let d = 0.33 - u. Let i = -3 + 2.6. Which is the third smallest value? (a) -1 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 3. Let r be c(-3). Let z be r\/((8\/2)\/2). Let j = 5 - z. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 42*b**2 - 206*b + 10633. Determine h(40).\nAnswer: -807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660658 = 69*v + 9*v - 654106 for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.256 and 8?\nAnswer: -2.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 1, f: 1, n: 2}. What is prob of sequence nfa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19110 + 29793. Is a a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 7:05 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + 18. Calculate r(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 0 - 1) + -2. Suppose 32*w = -5*n + 31*w + 21, -h*n = 5*w + 10. Solve l = -k, k + l - n*l = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (-1 - -11) + 237 + -236?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 - 2 + 20 + 7*j**3.\nAnswer: 11*j**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.5, -4577\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/15 - -3) + 78\/90?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/13)*b)**(-6\/19)\/(b*b**(1\/15)*b\/(b\/(b\/b**(-17)*b))) assuming b is positive.\nAnswer: b**(-75337\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (2 + sqrt(5))) + -3 + (sqrt(20) - sqrt(20)*-2).\nAnswer: -5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176266788?\nAnswer: 2, 3, 131, 112129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 4. What is the remainder when 523 is divided by u(-21)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*o + 951*o - 358*o + 1804*o.\nAnswer: 2097*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**1\/g**(6\/7)*(g**(-2\/15))**(-49) assuming g is positive.\nAnswer: g**(701\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249292974.\nAnswer: 2, 3, 7, 397, 14951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*h - 3 = -146*h. Solve -y + h*f = 7*f - 23, 2*y - 16 = -2*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.354 + 0.054. Sort s, -2\/33, 3 in decreasing order.\nAnswer: 3, -2\/33, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8)\/s)\/((s**(-1\/3)*s*s)\/s))**(-11\/8) assuming s is positive.\nAnswer: s**(319\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-20) + (-1 - (-45)\/4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3140*r. Let c(d) = -4521*d. Determine c(u(n)).\nAnswer: 14195940*n","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1267876475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-48)*111 - ((-97 - -34) + 51).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4921523000 rounded to the nearest one million?\nAnswer: 4922000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73388 + 120740. Suppose -2*p + 3306 + t = 0. Suppose -4*o - p + 561329 = 0. Round o to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*r + 5*r - r**4 + 5*r - 27*r**2 + 2 + 8*r - r**3 in the form i*r**2 + a + k*r**3 + c*r**4 + u*r and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37549, -37555, -37547, -37519, -37465, -37379, -37255, -37087?\nAnswer: -36869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104244000 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybqigzz. What is prob of picking 1 q and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -50. Is 32 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -13*l + 172. Let c(v) = 8*v - 86. Calculate 5*c(f) + 3*x(f).\nAnswer: f + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f + 41. Let j(u) = 10*u - 46. Let x(z) = 7*d(z) + 6*j(z). Calculate x(12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 918 = -3*g + 7*g, -g = -0*g. What is the smallest common multiple of 1 and m?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:21 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3330 (base 5) to base 8.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 807770, 807785, 807814, 807863, 807938, 808045, 808190, 808379?\n\"Answer: p**3 + p**2 + 5*p + 807763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -226536.88 to the nearest one hundred.\nAnswer: -226500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m + 5. Determine g(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36\/7 + 194\/35. Let r = 810.5 - 425. Let b = 386 - r. Sort -2, 0.2, b, y in decreasing order.\nAnswer: b, y, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14335 - 14349) + (2 + 0 - 17 - 2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*s**4\/3 + 8608*s**3 - 501270*s**2 + 6482700*s.\nAnswer: -2*s*(s - 18)*(8*s - 735)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -1\/12*n**4 - 1\/2*n**3 + 218*n + 0 - n**2. What is o(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 124, 23, -23, -5\/11, -1\/5?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0280994 rounded to four decimal places?\nAnswer: -0.0281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 7*r - 6. Let s be a(5). Let g = -0.799 - 0.001. Let z = 0.2 - g. What is the third biggest value in s, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 2, z: 6, k: 1, y: 1, e: 8}. What is prob of picking 1 q and 1 z?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 126*r + 5. Let l be t(5). Factor -8*d**2 + 633*d**4 - d**3 - l*d**4 - 7*d**3.\nAnswer: -2*d**2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 2:16 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**2 + 12782130*s + 8169142366845 = 0. Calculate s.\nAnswer: -1278213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-79 + 135608\/1675).\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-20))\/(26\/65). Which is the closest to 2\/5? (a) -4 (b) l (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6\/13, 2\/5, -1\/2, -1\/4 in descending order.\nAnswer: 6\/13, 2\/5, -1\/4, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-216)\/189)\/((-48)\/28 + 2). Let n(g) = 9 + 9*g**2 + 4 - 5. What is the hundreds digit of n(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1255 - 109*j**2 - 1257 + 2512.\nAnswer: -109*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n - 11. Let g(k) = k - 2. Let q(r) = -5*g(r) + w(r). Calculate q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -412*s + 4. Let z be w(5). Is (z\/40)\/(2\/(-10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 5*c + 0*c. Let s(x) = -7*x. Let q(d) = -4*s(d) + 5*t(d). Let o(p) = -p. Determine q(o(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 39 + 36. Let c be (8\/6)\/((-10)\/m). Solve -c*v = -d - 5, 3*d = -0*v - 2*v + 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -18*t - 4*t**2 - 477510 + 477510 + 18*t. Let r(i) = -505*i. Calculate w(r(o)).\nAnswer: -1020100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16764584 is divided by 1830?\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 w when three letters picked without replacement from {e: 2, w: 11}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1187858, -1187863, -1187870, -1187879, -1187890, -1187903, -1187918?\n\"Answer: -t**2 - 2*t - 1187855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1206, 4761, 10670, 18933, 29550?\n\"Answer: 1177*l**2 + 24*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/3 - 2*i**2 + 3*i - 2. Let d be t(3). Let m = d + 2. Solve w - 10 = -2*c, -c + 1 = -w + m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 0*b + 0*b + 0*b - b**2. Let j(m) be the first derivative of -1\/3*m**3 + 3 + 0*m**2 + 0*m. Give j(p(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59, 84, 153, 284, 495, 804, 1229?\n\"Answer: 3*d**3 + 4*d**2 - 8*d + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*(sqrt(228) + -1*sqrt(228) + sqrt(228)))\/(-5*(sqrt(108) - sqrt(12))*4).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -545490, -545215, -544940?\nAnswer: -544665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/(-11) - 8\/(-44). Suppose 2*y = y - u. Let m be (-1)\/(-4)*(-112)\/y. Calculate the highest common divisor of 56 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/6*1)\/((-4)\/8*4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 4:11 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*(v**6*v)\/v*v)\/v)\/v)**27\/((v*(v*v**(-1))\/v)\/(v\/v**(-16)*v)) assuming v is positive.\nAnswer: v**207","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -1, 0, 281 in increasing order.\nAnswer: -2, -1, 0, 1, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 400140245 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 5) in base 8?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-45*c + 23*c - 260 + 20*c).\nAnswer: -4*c - 520","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8892 divided by -131.\nAnswer: 8892\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5040 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**3\/3 - 19*z**2\/2 + 5*z. Suppose 3*x - 45 = -0*x. What is the tens digit of h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 122*a**2 - 1791*a + 2664. Calculate w(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 4*k**3 - 1 - 4*k**2 + 0*k**2 to the form l*k + c + m*k**2 + f*k**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:16 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2. Let p(z) = 28*z. Give w(p(f)).\nAnswer: 1568*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*o = 59*o. Factor 28*y**2 - 4*y**3 + 0 + 23 - 56*y + 9 + o.\nAnswer: -4*(y - 4)*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190811 - 450*v**3 - 190811.\nAnswer: -450*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 - (-53 - (-46 + 49))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (550 - 69 + 225)*(-5*l**4 + 9*l**4 + 7*l**4) to v*l**4 + d*l**2 + w + h*l**3 + u*l and give v.\nAnswer: 7766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 2. Let g(z) = -z + 5. Let w(q) = -2*g(q) + 5*m(q). Let h(r) = -58 - 53 + 168 - 57 + 51*r**2. Give w(h(v)).\nAnswer: -153*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v = 80. Let o be -12 - -6 - (-18 + 14). Put -5, o, v in decreasing order.\nAnswer: v, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10540*u**2 - 10548*u**2 + 21078*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + -16 - 15) + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 18*k. Let v(i) be the third derivative of i**4\/24 - 31*i**2. Give c(v(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/4)\/(u*u**(-2\/7)*u))\/(u**(-4)\/(u**(1\/8)*u))*((u\/(u**(2\/9)*u))\/(u\/((u**3*u)\/u)))\/((u\/(u\/u**(-3\/4)))\/u**3) assuming u is positive.\nAnswer: u**(5135\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -4, 247, 4.\nAnswer: -4, -3, 4, 7, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*i**3 - 29*i**2 - 119*i**3 - 123*i**3 + 350*i**3.\nAnswer: -11*i**3 - 29*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 34, 1 in decreasing order.\nAnswer: 34, 8, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126 - -5?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2143\/2, 1\/3, -0.5 in ascending order.\nAnswer: -0.5, 1\/3, 2143\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 58 = -4*d - 5*c, -48 = 3*d + d - 4*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/((((k*k*k**(-1\/4)*k)\/k*k)\/k)\/k*k))\/k)**(-1\/23)*((k*k**0)\/k)**8*(k**(3\/7)*k)\/(k*k**6)*k**1\/k*k*k*k\/k**(-1\/11)*k*k assuming k is positive.\nAnswer: k**(-3173\/7084)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6*p*p**(-2\/13)*((p*p**(-2)*p*p*p)\/p*p)\/(p**(2\/9)*p))**16 assuming p is positive.\nAnswer: p**(14272\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2136569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 942133 and 249?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 2260?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4615, 18634, 42051, 74866, 117079, 168690?\nAnswer: 229699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - -189. Let o(s) = -23*s - 5*s**2 + 3*s**2 + 22*s - p*s**3. Is o(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = -27. Let y(o) = o**3 - 3*o**2 - 3*o - 5. Let m be y(4). Let v = l - m. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 7:41 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24087 - 13.56.\nAnswer: -24100.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -705 and -0.06?\nAnswer: 704.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 29340*n - 2669. Is k(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195429878?\nAnswer: 2, 7, 569, 24533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -0.302 (c) -1589\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -44*p**3 - 5*p**2 - 6*p + 11. What are the prime factors of k(-6)?\nAnswer: 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 11. Suppose 18 = 2*v - 5*v. Let r = k - v. 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: Let g(i) = -3*i**2 + 103*i + 62. Let o be g(35). Let n(p) be the first derivative of p**4\/4 + 8*p**3\/3 + 2*p**2 + 10*p + 30. What is n(o)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88388 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*x - 35 = -0*j, x = 5. Find the second derivative of 0 - 4*n**j + 0 + 0 - 8*n wrt n.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*1*(-6)\/(12\/(-5)). Let y(n) be the third derivative of 0*n**3 + 0 - n**2 + 0*n**4 + 0*n + 1\/330*n**g. Factor y(d).\nAnswer: 2*d**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2\/11 (c) 4\/3 (d) -134\/5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1400 = -3*u - 2*u. Let k be 2\/7 + 185\/u. Suppose -9*v = -0*v - 18. Which is the nearest to 0.1? (a) v (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1131, 1983, 2861, 3765, 4695?\n\"Answer: 13*h**2 + 813*h + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -13*f - 3. Let c be w(-1). Let q be (c\/(-2) - -2)*(-4)\/3. Find the common denominator of -1\/30 and 2\/q - 178\/132.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**2 - 9*b + 9. Let p(o) = 3*o**2 + 5 - 52*o - 3 + 47*o + 3. Give 5*m(w) - 9*p(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0*72870\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6766 + -87741\/13. Which is smaller: 3 or l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, f: 1, k: 1, c: 1, u: 1, t: 2}. What is prob of sequence rfut?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -62, -103, -148?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2. Let n(x) = -12*x**2 - 69*x - 176. What is n(u(w))?\nAnswer: -12*w**4 + 69*w**2 - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.095603 seconds in hours?\nAnswer: 0.0111376675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40500 divided by -810?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*i + 795 - 93 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6617.172ml in litres?\nAnswer: 6.617172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(-6))\/b)\/b)**(-6\/5) assuming b is positive.\nAnswer: b**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**3 + 33375*v**2 - 33375*v**2.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2265 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(-1\/23)*(t**(-2\/7))**(4\/27) assuming t is positive.\nAnswer: t**(-121\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 7*j = 12*j - 15, -4*h + 5*j - 33 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q + 156*q - 3213 = -1054 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4158 (base 11) in base 6?\nAnswer: 41300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 48*n**2 + 423*n + 526. Determine f(-9).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 3:31 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 2*v**2 + 2*v - 1. Let d be h(2). Suppose -44 - 7 = -d*j. Suppose -13 = 5*b - 8*b - 5*r, 4*r - j = -3*b. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 1, z: 4, x: 2, y: 1}. What is prob of sequence xa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176.1896 weeks to hours.\nAnswer: 29599.8528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 183591539?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1697 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-6 - -10) - (-1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 7) + 15 + -21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/24 - 39\/52?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3335520 rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64492861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 7329*n**5\/4 + 20155*n**4 - 5494*n**3 - 113601*n**2\/2 + 161207*n\/4 + 11\/2 = 0. Calculate n.\nAnswer: -11, -2, -1\/7329, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 33*l + 24. Let u(q) = q**2 + 16*q - 12. Let o(g) = 4*p(g) + 9*u(g). Let t be o(-10). Let r = -10 - t. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1 - 0. Let p be (d\/(-3))\/((-6)\/(-36)). Sort p, -1, -0.4.\nAnswer: p, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 873 + -860. Solve 2*b + 2*m = -b + u, 3 = b + 2*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 20. Which is the nearest to 0.1? (a) l (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.32245 to one decimal place.\nAnswer: -45.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 6:54 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 12*d**2 - 8*d + 24. Calculate w(11).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38127184.\nAnswer: 2, 709, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-30))\/((-23)\/230).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 5:31 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.56 - -0.34. Let x = 11.4 - h. Let g = -44 + 179\/4. What is the second biggest value in -1, 0.2, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3415792.9085 - -4\nAnswer: -3415788.9085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2. Let s(g) be the first derivative of 2*g**3\/3 + 4. Calculate s(i(b)).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23584 and 132420475?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/(2970\/12))\/((-4)\/290)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a + 3. Let j be q(-3). Calculate the greatest common divisor of 26 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 194 and 1062.\nAnswer: 103014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i - 181. Let p be l(49). Solve -2*n - 2*n = 5*x + 11, 5*x + p = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -5. Let x(k) = -4*k**2 + l*k**2 + 4*k**2 - 3*k**2 - 5 + k. Calculate the remainder when x(-4) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41004 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(432) + 1) - sqrt(432) - (sqrt(432) - (sqrt(432) - ((sqrt(432) - (sqrt(432)*-1 + sqrt(432))) + sqrt(432)))*-4 - sqrt(432)))*5)**2.\nAnswer: -1200*sqrt(3) + 10900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*(561216\/(-395))\/(-74)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 15 = 0, -3*t + 111 = -3*n + 2*t. Let f = -27 - n. Solve -f*v - 13 = 2*a, 3*a = -6*v + 2*v - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -51, -73, -103?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7197, -14434, -21803, -29304, -36937, -44702, -52599?\nAnswer: -60628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02702807 and 10937.\nAnswer: 10936.97297193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3, -h - 6 = -4*i - 3*h. Suppose i*k = 5*k + 4*q - 373, -379 = -5*k - 2*q. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 3*o + 3. Let u be r(4). Let c(n) = -3*n**3 - 3*n**2 - n + 1. Let g be c(u). Suppose g*w - 453 - 463 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 624679687 to the nearest integer?\nAnswer: 24994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8608025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.57 + -0.47. What is the third smallest value in -2\/17, z, -4\/3, -5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 65228, 130426, 195622, 260816, 326008, 391198, 456386?\n\"Answer: -z**2 + 65201*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -10 + 6. Let v(l) = 11*l**2 - l**3 + 2*l**3 - l + 0*l + 19 - 26*l**u. Let d be v(15). Solve d - 29 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54 times -6?\nAnswer: 3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 893.1883 litres to millilitres.\nAnswer: 893188.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 447.6? (a) -0.1 (b) 0.05 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + z**2. Let y be v(1). Suppose y = 4*h - 74 - 2. Suppose 4*j - 14 = 10. Solve -5*n + j = -h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1041959 divided by -5821.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1104 = 8*i + 1024. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 889, 1793, 2709, 3643, 4601, 5589?\nAnswer: 6613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 259 and 4.8.\nAnswer: 1243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3142 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.28*-1.7.\nAnswer: 3.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:56 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*d - 1 - 4, 0 = -a - d + 3. Let g be -4 + 1 - (-5 - a). Suppose 0 = g*p - 50 - 4. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77017825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -47*u**2 - 53*u**2 + u - 6 + 99*u**2. Give r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10043 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**3 + 1815952*u**2 - 26027999*u - 18159090 = 0.\nAnswer: -2\/3, 15, 605303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -161*a**6\/720 - 31*a**5\/60 - 5*a**4\/24 - 40*a**2. Let g(l) be the second derivative of p(l). Is g(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w + 9*w = 64 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1807*d + 7178. Determine k(4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + -93 + (-12 - -95)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q = -28. Calculate the lowest common multiple of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2478 is divided by 1317?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 6*a**2 - 2*a - 9. Let h be (-2)\/(-6) + 20\/12. Suppose -4*g + 22 = -5*l, 3*g + 2*g + 22 = -h*l. Calculate w(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 + 3*w + 43. Determine b(8).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, d: 1, k: 2, w: 3}. Give prob of picking 1 w and 1 k.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d + 2*b - 6, -3 = 3*d - b. Suppose -24 = -d*p - 3*p. Calculate the smallest common multiple of p and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2*p + 3646 + 1834, 0 = -2*g + 5*p + 2716. Is g a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.9 - -30.78. Let t = n + 0.12. Let j = -23.0013 + t. What is j rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 33135.\nAnswer: 9940.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 25 + 0*x**2 + 5*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 28*l**2 + 2*l**2 - 2*l**2. Let v = 8 - 9. Does 9 divide h(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/765 and 45\/1462289?\nAnswer: 65803005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*w - w + 538729, 0 = -5*w - 2*r + 897861. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 88\/40 + (-1)\/5. Suppose 5*h + 0*g = g + 499, 3*h + 2*g - 289 = c. Suppose p - 5*p = -36. Calculate the highest common divisor of h and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2. Let k(w) = 929*w. Calculate k(s(g)).\nAnswer: 929*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3115, -5366, -7603, -9820, -12011, -14170, -16291?\nAnswer: -18368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.2 (c) 1 (d) 13 (e) -2\/7 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -6 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*a**3*o*t - a**3*o + a*o*t + a*o + a - 2*o*t wrt a?\nAnswer: -162*a*o*t - 6*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (10 + -5 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 + -107. Round g to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r + 10 = -52*r. Suppose 4*i + 3*h - 830 = h, -r*h + 411 = 2*i. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7428222 is divided by 337641.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 116\/10 + 6\/15. Let v = -2 + 4. Suppose v*g - 6*g = -o. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 6 + 0 + -12 - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 2*y**2 - 498*y**3 - 6 + y + 0*y.\nAnswer: -498*y**3 - 2*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 0*s**4 + 1\/3*s**3 + 0 + 1\/120*s**6 + 0*s - 3\/10*s**5 - 8*s**2. Let v be c(18). Solve v*z - z = -5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 0*t + 4 + 3*t + 0*t + 0*t - t**2. Let i be w(6). What is the common denominator of -3 + i*45\/(-96) and -7\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 7) to base 6.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.1712217 and 24?\nAnswer: 21.8287783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 851 = -4*r + 3*r, -4*r + 529 = 3*b. List the prime factors of b.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 278c + -10?\nAnswer: 277c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8531589.\nAnswer: 8531587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/19 - 66*y**2\/19 + 720*y\/19 - 2592\/19.\nAnswer: 2*(y - 12)**2*(y - 9)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 484*b + 736. What is the ten thousands digit of w(67)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 12*n = 28, -28 = -5*a - 3*n + 7 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 29. Let l(g) = -405*g - 1618. Let u be l(-4). Solve 2*c = -2*d + 6, c - 5 = -u*d - j*c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((3 + (sqrt(1053) - (-1 + sqrt(1053) + sqrt(1053))))*-2 - (sqrt(1053) + sqrt(1053)*3 + -5 - 5*2*sqrt(1053))))**2 + 2.\nAnswer: -576*sqrt(13) + 67410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.8 from -159.\nAnswer: -158.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p**3*y**4 + p**3*y**3 - 2*p**3*y + 10*p**2 + 3*p*y**2 - y**4 wrt y?\nAnswer: 120*p**3*y + 6*p**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 4, i: 1}. Give prob of picking 2 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**(1\/6)\/v)\/v*(v\/(v\/v**6*v)*v)\/v)**13)**(-8) assuming v is positive.\nAnswer: v**(-1300\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45713 (base 9) to base 13.\nAnswer: -10b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41075645 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(180)*-2)**2 - sqrt(180).\nAnswer: -3600 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316540138 is divided by 227.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 426*g*n**5 + g*n**2 + 2*g - 2*n**2 wrt n?\nAnswer: 25560*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -3\/2 (c) 3 (d) 4 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*57\/((-627)\/748)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w - 4. Let b(j) = -3*j - 2. Determine -9*b(a) + 4*c(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 44712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254256.\nAnswer: 2, 3, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.8, -91 in decreasing order.\nAnswer: 0.8, 0.5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, u: 5, s: 2}. What is prob of picking 2 s and 2 u?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 2, i: 1, c: 1}. What is prob of picking 2 l and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -601528 from -0.7.\nAnswer: 601527.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:25 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -1. Suppose 0 = 2*b + 17 - 7. What is the biggest value in -1\/4, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*d = -236*d - 1547 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-9) - (-4)\/3. Which is the third smallest value? (a) x (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4327 is divided by 149?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a - 11. Let l(o) = -3*o - 5. Determine 9*l(g) - 4*m(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8864\/13 - -682. Let s = -469 + 479. Put m, s, 0 in decreasing order.\nAnswer: s, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001355 rounded to 5 dps?\nAnswer: -0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 9. Let r = -0.36 + -0.04. Suppose -2*d - 6 = 4*d. What is the closest to d in 4\/3, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89868399 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -603 divided by 9\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 634553.2 kilograms in nanograms?\nAnswer: 634553200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1048 and 0.2?\nAnswer: 209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108651788 - 108651770.99999856. Let q = r + -17. Round q to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q**5\/5 - 147*q**4\/5 - 642*q**3\/5 - 396*q**2\/5 + 696*q\/5 + 96 = 0. Calculate q.\nAnswer: -2, -2\/3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3401448361?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -422, 1, 9, -6, -5 in increasing order.\nAnswer: -422, -6, -5, -2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14 - 1 - -1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31653 = -27*h - 3735. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2648411414.85674+2\nAnswer: 2648411416.85674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2242, -2203, -2144, -2053, -1918, -1727?\n\"Answer: 2*f**3 - 2*f**2 + 31*f - 2273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(5*g**2 - 2*g**2 - 2*g**2) + 51*g**2 - 21*g**2 - 4*g**2 + (2*g + 2*g - 2*g)*(0*g + 3*g - g) - 10*g**2 + 16*g**2 - 25*g**2.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -71. Let n be x\/(26\/(-4) - -4). Suppose 2*c = n*f + 18 + 16, 0 = -5*c - 2*f + 92. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 116578579?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 130. Calculate the remainder when h is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 442*v**2 + 57*v wrt v?\nAnswer: 884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 364 + 1?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + g - 4. Let b be i(4). Is 10 a factor of b\/(-12)*45\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(0*q**2 - 2*q**5 + 0*q**2) - 2*q**5 + 2*q - 2*q + (-q**5 - 4*q**5 + q**5)*(-6 + 2 + 2) + 4*q**5 + 5*q**4 - 5*q**4 - 4 - 5*q**5 + 4.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**4 + n. Let b(f) = -12*f**3 - 26*f**2 - 22*f - 8. Let m = -14 + 10. Let s(x) = m*u(x) + 2*b(x). Factor s(c).\nAnswer: -4*(c + 1)**2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 5) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15723037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-2)*40\/(-60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 483 + -222. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*w**2 - 27*w**2 - 1 + 67*w**2 in the form l*w + c*w**2 + v and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 - -1) + 10)*-2. Let n be (-6)\/(-9) + 210\/(-9). Let i = y - n. Sort -0.2, 2\/19, i.\nAnswer: -0.2, 2\/19, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 12:46 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1169944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1313716*h**5 + 129*h - 5737 wrt h.\nAnswer: 26274320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 2*o + 29, -2*h = o + 2*o - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + 0 + (-1 - (-12 - -10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by 55.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**2*s**3 - 9228*g**2 + 433*s**3 + 32*s wrt s?\nAnswer: -6*g**2*s**2 + 1299*s**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * -115285.\nAnswer: 1844560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1777, 1804, 1819, 1816, 1789?\n\"Answer: -s**3 + 34*s + 1744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*45631.\nAnswer: 228155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1591, 2866, 4131, 5380, 6607?\n\"Answer: -u**3 + u**2 + 1279*u + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 5*q - 22, 201*h = 200*h - 3*q + 6 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v = 20. Suppose -2 = 2*k - 0, -2 = 5*s - 3*k. Let n = v - s. What is n rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -259 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 2 - 2)*(384 - 384 + 112*u) + 1 - 1 - u + u + 5 - 5 + u + 0*u + u + 3*u - 4*u - u + (-1 + 4 - 4)*(-u - 4*u + 6*u) + 6*u - 5*u + u.\nAnswer: -895*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 365.6 - 365. Put p, -0.1, -7 in descending order.\nAnswer: p, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-8)\/(-60) + (-1014)\/585\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -8*u + 80. What is the hundreds digit of (u - -1)*8\/16 + 267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04+3491490502463\nAnswer: 3491490502462.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -545336.93 to the nearest 100.\nAnswer: -545300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p**5 + 1360*p**4 + 15415*p**3 - 181780*p**2 - 3855*p + 45360 = 0 for p.\nAnswer: -48, -27, -1\/2, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89661.37um to centimeters.\nAnswer: 8.966137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = -8*n - 77 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19517653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2262 - 4?\nAnswer: -2266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.6 - -1.4. Let v = 13.2 + r. What is the closest to -3 in -2\/5, v, -8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*h**2 + 3*h**2 - 61*h**2 - 205*h**2.\nAnswer: -383*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 - 22*r**3 - 2*r + 55*r**3 in the form q*r + d*r**3 + f*r**2 + l and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/3)\/(13\/39). What is the third derivative of 13*q - 13*q + 5*q**2 - 3*q**6 - q**i wrt q?\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4960, -27025, -86916, -203545, -395824, -682665, -1082980, -1615681?\nAnswer: -2299680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 526*r + 39679. What is n(-67)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minus 41103?\nAnswer: -41051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 5*h**2 + 4*h + 2. Let z be d(-4). Solve -z*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 1. Let r(h) = -1 + h + h + h**2 - 2*h**3 + 0*h**3. Let k(q) = l(q) - r(q). Suppose 9 - 1 = -4*z, 5*m = -5*z. Calculate k(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhgyyggyygyh. What is prob of sequence yh?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52\/234 + -2 + 376\/9. Suppose -l = -5*a - 3*x + 24, a = -x + 14. Solve -4*o - 1 = a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/33 - (-100)\/(-110). Is 18 a factor of (x - 7\/2)\/((-69)\/7544)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/24)\/(-6*26\/(-8)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 10:12 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 19. Suppose -11*q + 12*q - 2 = p. Suppose -5*o + 26 = 4*c - 64, 2*c + 36 = q*o. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005868 rounded to seven decimal places?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2426545 minus -16.8?\nAnswer: 2426561.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4478, 8417, 12356, 16295?\n\"Answer: 3939*x + 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, g: 10, n: 2}. What is prob of picking 1 i and 1 g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 97*b**4\/24 + 3*b**3\/2 + 31*b**2 + 55. Let m(l) be the second derivative of r(l). Differentiate m(t) wrt t.\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4\/4 - 77207*m**3\/4 - 496736970*m**2 - 4261009715792*m + 4261506472064 = 0.\nAnswer: -25736, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.173206 millilitres in litres?\nAnswer: 0.003173206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1 - r**2 - 12*r + 6 - 2 - 3*r. Let c be h(-15). Solve 2*s + 0*s = c*v + 27, -4*s + 14 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**3\/5 - 5667*p**2\/5 - 2650557*p\/5 + 24316227\/5 = 0.\nAnswer: -949, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 451.6609ml in litres?\nAnswer: 0.4516609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*m - 2 - 2*m)*(-2 + 2 - 3*m)*((1 - 3 + 1)*(-3*m + 5*m - 3*m) - 14 + 237 - 225 + 2299*m) as d*m + b*m**3 + o*m**2 + g and give b.\nAnswer: -6900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2\/11, 4, 3247?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, x: 2, y: 3, l: 2, q: 9}. What is prob of picking 1 x and 2 q?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(2\/3))**(-2\/29))**(-1\/8))**(30\/7))**(1\/10) assuming k is positive.\nAnswer: k**(1\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 192\/(-50)*-2. Let r = l - 711\/200. What is the common denominator of -8 + 2\/(-44)*(-306850)\/1700 and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-12)*(-171)\/(-1064).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44 or 26470\/619?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0, 8, -38\/3, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2550 and 1496826\/587 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-143))\/((-9369)\/(-9022))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 17. Let k be (-4230)\/1059 - (5 + -9). Let a = k - 728\/3883. Put -1, a, f in decreasing order.\nAnswer: f, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 7762 = 142. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*h - 25, 5*f - 35 = -0*f + 3*h. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*o - 6. Suppose o*m = 4*b - 40, b - 9 = -m - 2. List the prime factors of 30\/b*(10 + -1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3 (c) 2 (d) -1 (e) 105 (f) 0.15 (g) 12\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m + a + 260, 226*m - 231*m + 176 = -4*a for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 7 - 7*y + y + 8 + 3*y + y**3 - 3*y**4 in the form n*y**2 + r*y**4 + k + o*y**3 + v*y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r. Let z(c) = 9536160*c. Calculate z(m(s)).\nAnswer: -19072320*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1, -1\/35, -5, -2\/5, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 533649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 27259 (base 10) to base 4\nAnswer: 12221323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1. Let r(d) = 9*d**2 + 2*d - 6. Let s(j) = -r(j) - 5*y(j). Suppose -2*p + 3*p - 3 = 0. Suppose -i = p*i - 4. Determine s(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17, 366, 1015, 1930, 3111, 4558, 6271?\n\"Answer: 133*t**2 - 16*t - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*r - 6, r + 11*d = 15*d - 15. What is the second smallest value in -4\/5, 15, 2, r?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/51 and 21\/85.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - 966*w**3 + 335*w**3 - 4*w**2.\nAnswer: -631*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -36556641 (base 8) in base 9?\nAnswer: -16132400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 16*k - 29. Give z(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y + 1. Let f be j(1). What is the derivative of -3*w + f*w + 5*w + w + 1 wrt w?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1496939 + -0.2.\nAnswer: -0.0503061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2027*t**2 - 2203*t**2 + 4356*t**2 + 2 to z + p*t + r*t**2 and give r.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1025047152.4 - 1025046314.4000601. Let h = -17 + -821. Let c = h + b. Round c to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 4. Let y be w(-8). Let l(b) = 3*b**3 - 10*b**2 + b. Calculate the smallest common multiple of 33 and l(y).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (sqrt(180) + (-1 + sqrt(180))*5))*2)**2*-4.\nAnswer: -72400 + 4800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(684) + sqrt(684)*2 + sqrt(684)))\/(sqrt(1728) + (-2*sqrt(1728) - sqrt(1728))))\/(3*(-2*sqrt(5808) + sqrt(5808))).\nAnswer: -5*sqrt(19)\/792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.58228308 to 2 decimal places.\nAnswer: 17.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 173319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47 or -602?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**2 + h + 1. Let c(j) = -6*j**2 + j. Let u(p) = -p**2. Let v(i) = -c(i) + 5*u(i). Give s(m) + 2*v(m).\nAnswer: -2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -63 + 28?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**6\/45 + v**4\/18 - 3*v. Factor x(t).\nAnswer: -2*t**2*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 486446 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.66 + 20.71. Sort p, 37, -0.1, -1\/8 in decreasing order.\nAnswer: 37, p, -0.1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/11, -431, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5.57576 times 6.7\nAnswer: 37.357592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 4*i + 227 = 4*d + 149 + 146, 14*d - 4*i = 10*d + 44 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + sqrt(539))*3 + -3 + (sqrt(539) + 1)**2.\nAnswer: 35*sqrt(11) + 541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 453012.406 - 453004.00600082. Let s = 8.4 - h. Round s to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from add.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 287.737184 and 66.\nAnswer: 353.737184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - 18. Let s be (6\/(-18))\/(1\/x). Calculate the greatest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.701 - 7.73251. Let i = y + 0.031. What is i rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33)\/(-6)*1 - 3\/6. Let g(f) = -9*f**3 + 5*f**2 + 5*f + 9. Let u(l) = -4*l**3 + 2*l**2 + 2*l + 4. Calculate z*u(b) - 2*g(b).\nAnswer: -2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 134*d**2 + 138*d + 384. Determine c(-133).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(3 + (-155)\/52). Suppose -4*l + 2*j + 0*j = -20, -y = -2*l + 5*j. Calculate the lowest common multiple of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.4 (c) -5 (d) -0.028 (e) -0.12 (f) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**2 - f**2 - 2*f**2 - 5*f**2 - 4 + 4 + (f + 3 - 3)*(-f + 2 - 2) + 3*f**2 - 2*f**2 + 0*f**2 + 0*f**2 + 3*f**2 + 0*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18228457165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/48)\/(11\/88)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(1 - 0\/(-1)). Suppose 4*d - 3*v = 3, 4*d - 2*v = -n*d + 6. Suppose 0 = 4*k - d - 21. What is the least common multiple of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + k**2 + 0*k + k - 6 + k**3. Suppose 3*h - 5*i + 19 = 0, h - 2*i = -3*h - 2. Let x = 2 - h. What is v(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5475789 decades to centuries.\nAnswer: 0.05475789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/2 - -7) + -3. Let s = 41 - 37. Solve 26 = -s*z + 4*k - 2*k, t*k = 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*h - 16 = 0, h = 2*z + 6*h + 24. What is the remainder when 10 is divided by (4\/z)\/(2\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (0 + -3 - -5). What is the units digit of 1*(48\/(-24))\/(s\/(-63))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.653 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -9. Suppose 0 = -c - 71 + 1. Let p be (c\/3)\/((-4)\/6). What is the greatest common divisor of u and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 8:54 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**3\/3 - 5*b. Let w(i) be the third derivative of i**5\/30 - i**2. Determine s(w(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 116311777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:20 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaayygagyag. What is prob of picking 1 a and 1 g?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**4 - y**2 + y. Let g(k) = 64*k**5 - 143*k**4 - 132*k**3 - 34*k**2 - 4*k. Let i(p) = 2*g(p) + 2*m(p). What is l in i(l) = 0?\nAnswer: -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 43.6. Let o = 33.7 - 33.6. Which is the closest to o? (a) n (b) -1.02 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -924, 4 in decreasing order.\nAnswer: 4, -33, -924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4\/2 - 21*k**3\/2 - 151*k**2\/2 - 291*k\/2 - 81 = 0?\nAnswer: -3, -2, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Let i be 1*p\/(0 + -2). Let m(o) = -o**3 - 2*o**2 - o. Let u be m(-2). Solve u*y + 3*y = i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3 = 3*v, -4 + 2 = 2*v - 3*k. Let a be 1 + 6\/3 + v. Let o = -2 - -3. Solve -g - a + o = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*q**3 + 5*q - 5*q + 405*q**3 + 445*q**3 - 1223*q**3.\nAnswer: 48*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 + 147. Suppose 0 = 3*q + 6 - t. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2849 and 5082.\nAnswer: 188034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 5:34 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*v + 157 = 0, -22 - 57 = -2*w + v. Solve -z - 19*z + w = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2\/21 (c) -4 (d) -1\/7 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*k + 1755 = -220*k. Let o = 1 + -2. Let j = 16 + o. What is the greatest common divisor of j and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -375 + -1475?\nAnswer: -180a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/5 - 33*b**2 - 1476*b\/5 - 2268\/5.\nAnswer: 3*(b - 63)*(b + 2)*(b + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24607369057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-328 - 58 + 386 - 3995*o)*(2 - 3 - 1) in the form a + m*o and give m.\nAnswer: 7990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from vmuvu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 1626082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 53*w - 52*w - 21701, -4*w = 5*g - 86804. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - l - 938, -v - 4*l + 178 = -l. Let m be ((-19)\/(-57))\/((-1)\/(-33)). What is the highest common factor of m and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/3 in -2\/5, -75, -3\/8, 0.19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - 10. Let b(f) = 11*f + 2. Let z(y) = -660*y - 121. Let g(a) = t*z(a) + 121*b(a). Let o be g(6). What is o rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 779811100 to the nearest one million.\nAnswer: 780000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y - 92. Determine p(-19).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 8. Suppose -7*l + 5*l = -20. What is the units digit of n(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlvdvvdv. Give prob of picking 3 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8*g + 2070*g**2 + g**3 - 2077*g**2 + 4 - 10*g. Calculate the smallest common multiple of 20 and d(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-15 + (-147 - -147) + 13 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.9. Let j = -5.85236 + -0.04564. Let c = 0.898 + j. Put c, d, -2, 7 in decreasing order.\nAnswer: 7, d, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1975*h**2 + 53*h + 97. What are the prime factors of f(-2)?\nAnswer: 13, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9026 divided by 3.\nAnswer: -9026\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**4*j - 9*i**4*v**2 + 3*i**4 + 47*i**2*v + 3*i*j + 5*v**2 wrt i?\nAnswer: 96*i*j - 216*i*v**2 + 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -35) + 141 + -157 + -81.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o + 9. Let r be d(0). Is (26\/4)\/(r\/36) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.764 - 18.764. Sort -1\/5, -2\/15, -5, s, 0.1.\nAnswer: -5, s, -1\/5, -2\/15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.46 + 0.06. What is the nearest to 0.8 in 0, 2\/5, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 - 15*n**3 + 0*n**3 + 3*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 1\/2*t**5 + 0*t**3 + 0*t**4 + t**2 - 13 + 0*t. Let g(o) be the second derivative of k(o). Let b(u) = u. Give b(g(m)).\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 4 = 2*k. Let i(f) = -1. Let w(l) = -2*l - 6. Let c(p) = k*w(p) + 4*i(p). Let b be c(1). Let j(d) = -d**2 + 2*d + 5. What is j(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + l)*(-2 + 13 + 14)*(6*l**4 - 3*l**4 + 0*l**4) + (l**2 + 3*l**2 - 5*l**2)*(4*l**3 - 5*l**3 + 2*l**3).\nAnswer: -151*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 39 + 1. Let q = 19367 + -19356. What is the remainder when y is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 5, 18.3, -78, -20?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:30 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148 - -261. Suppose j*q = 115*q - 4. Which is greater: 17\/7 or q?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*a**3 - 301490*a**2 + 323994*a wrt a?\nAnswer: -168*a - 602980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -763*l**2 + 17*l + 11. Let s(n) = -254*n**2 + 6*n + 4. Give 4*k(r) - 11*s(r).\nAnswer: -258*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/11)\/(g\/(((g*g**(2\/17))\/g)\/g))*g\/g**(-9)*g*g\/(g*(((g*g**6*g)\/g)\/g)\/g*g))**3 assuming g is positive.\nAnswer: g**(1902\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/119 + (-2)\/((-136)\/(-604))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/1*5\/15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49\/36 - -10\/9. Let s = -2.2 + 4. Let k = s - 2. Which is the biggest value? (a) k (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2929 + 9121 = 43*i. Let t be 6\/2 + 1 + -83. Let k = i + t. What are the prime factors of k?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0*j + 16. Calculate the highest common factor of j and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.047 and 0.2654189.\nAnswer: 0.3124189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/(-2) + 0)*(-416)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(400) - sqrt(400)*-1) + sqrt(400))\/sqrt(8))\/(6*sqrt(30)\/sqrt(3)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 8*x**2)*(0*x**3 - x**3 + 4*x**3) - 2*x**5 + 5 - 3 + 8*x**5 - x**5 + 2447*x**2 - x - 2447*x**2 + 1.\nAnswer: 29*x**5 - x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqr when three letters picked without replacement from riwyqti.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-24) - (-95)\/(-8). Let i be (105\/u)\/1*4. Let r be ((-360)\/i)\/(1\/7). Calculate the greatest common factor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306904589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 183, 18, -3, 2, 9, 15 in descending order.\nAnswer: 183, 18, 15, 9, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -111*r + 5776. Let k be d(52). Solve -f = -4*m - 26, -38 = 4*m + m - k*f for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/20*(1 - 1) - 0. Let t = s - -71. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 15*y**2 - 22*y**2 + 2 - 4*y + 11*y**2. Calculate the lowest common multiple of 4 and d(5).\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t + 4 = 23*t. What is the greatest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/336 and 85\/56.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 6308 and 6309 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172743 (base 11) to base 2.\nAnswer: 1000001001101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -21. Suppose -k + w = 3*k. What is the units digit of 9 + 1 + -1 + k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 7. Suppose 0 = -6*q - 246 - 24. Let n = -39 - q. Give k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 222.41 to the nearest integer.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 6*z + 16*z. Suppose -z*t + 264 + 312 = 0. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.18 + 120.5.\nAnswer: 121.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.620569 in 3, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - -1) + -5 - -12) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 - 11*k**4 + 34*k**3 - 24*k**2 = 0. What is k?\nAnswer: 0, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p + 2 - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 - -313. What are the prime factors of m?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 - ((-23)\/(-2) - (-40)\/16)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydcc when four letters picked without replacement from {c: 5, y: 5, d: 8}.\nAnswer: 5\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 10:42 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16001275 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, -1\/6, 5\/229?\nAnswer: 5\/229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7619318 less than or equal to 7619319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q + 7. Let z = -9 + q. Suppose -2*x + 3*n + 2*n = -29, x + z*n + 8 = 0. Solve i = x*h - 12, -29 = 2*i - h - 4*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -34. Suppose n = -i + 77. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -241.\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.53 in 1\/5, 586, -1, -1\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 483 - -249. What are the prime factors of (i\/24)\/(2\/92)?\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 9, j: 10}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -7 + 2 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144599951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - -6. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 3*v + 1467. Let z = -330 + v. Suppose -3*h = -0*h - z. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -2\/5, -0.07, 10.8, 133?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 10*b + 2. Let c be h(10). List the prime factors of (-30)\/(-20)*(94 - c).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a factor of 1468519347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10434435542 + -1?\nAnswer: 10434435541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0, -60 in increasing order.\nAnswer: -60, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 2*t**2 - 2*t - 2. Let f be r(-3). Let x(j) = -j + 3. Let m be x(f). Let w = 38 - m. What is the highest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.2 (c) 0 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*l**3 + 0 - 36\/13*l**2 - 38\/13*l.\nAnswer: 2*l*(l - 19)*(l + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 935, 1879, 2827, 3779, 4735?\n\"Answer: 2*s**2 + 938*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, 22, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 45\/4. Let p = -832\/35 - -158\/7. Sort -1\/4, p, i in increasing order.\nAnswer: p, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*o + 22 = 0, -8 = -2*j + j - 4*o. Which is the second smallest value? (a) 1.9 (b) j (c) -1\/8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1360 and 34.28?\nAnswer: 1325.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6189 less than -398454?\nAnswer: -404643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j = -3*n - 21, -5*n = 6*j + 31. Let a(s) = 5*s + 24. Calculate a(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -423, -623, -823, -1023?\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -235, -1\/7, -1\/5, -4\/11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84430, 337617, 759602, 1350391, 2109990, 3038405, 4135642?\nAnswer: 5401707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 12. Let y = 1201.29 + -1208. Let i = m + y. Round i to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -15*n**4 - 12864*n**3 + 310713*n**2 + 1304994*n - 570888 = 0.\nAnswer: -881, -4, 2\/5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 22*l**3 + 6*l**2 - 12. Let u(t) = 23*t**3 + 5*t**2 - 12. Let r = 9 - 15. Let j(b) = r*u(b) + 5*c(b). Differentiate j(h) with respect to h.\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 68 + 48 = 0. Let k(c) = -13*c - 5. Is k(w) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Let p be v(7). Let y(u) be the second derivative of -u**4\/24 + u**3\/2 + 5*u**2\/2 - 6*u. Let q(a) be the first derivative of y(a). Determine q(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -5*r**8\/28 + 5*r**6\/6 - r**4\/12 - 179*r**3\/6 - 483*r. Find the third derivative of i(b) wrt b.\nAnswer: -1200*b**3 + 600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183533 is divided by 91766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/7))**30\/((b**(1\/14)\/b)\/b**(1\/4)))\/(((b*b\/(b**(-7)\/b)*b*b)\/b*b*b*b)\/(b*b\/(b**(3\/4)\/b)*b*b)*(b**(1\/4))**(-20\/11)) assuming b is positive.\nAnswer: b**(5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.43 and -1030.58382412.\nAnswer: -1030.15382412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r. Let k(h) = h - 2808524. Give v(k(f)).\nAnswer: -10*f + 28085240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*x - 1 + (x + 3*x - 2*x)*(-4 - 4 + 4))*(x - 2*x - x + (4*x + x - 6*x)*(-2 + 9 - 4)).\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67 - 863*g**2 + 74 + 98*g**3 - 211 + 70 wrt g?\nAnswer: 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -516339 - 82?\nAnswer: -516410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 49*s - 3015. Let o be l(65). Calculate the highest common factor of 306 and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 315*o**2 - 11025*o + 128625.\nAnswer: -3*(o - 35)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 478108965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b. Let l(i) = 3*i + 1. Let y(k) = -5*d(k) - 2*l(k). What is y(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24\/5 in 3\/188, 4, 0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 3:30 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 5*k**2 + 4*k - 8. Let j be c(-6). What is the units digit of 5 - (4 - j\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 5, v: 2, j: 2, h: 1, c: 2}. What is prob of picking 1 c and 1 h?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 101, 205, 309?\n\"Answer: 104*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 4*j + 5*j)*(1 + 0 + 0)*(4 - 3 - 8).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 less than or equal to 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 7310289?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 + 29412*u + 2758040 = 0. What is u?\nAnswer: -7258, -95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 29*b + 52. What are the prime factors of q(23)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704947 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b + 8 + 42*b**4 + b**2 - 44*b**4 - b - 3*b + 2*b**3 as l + r*b**3 + h*b + t*b**4 + a*b**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 62*c**2 + 387*c + 11988. Give o(-31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.93 - -6. Let i be (-36)\/44*3 + (308\/(-121) - -2). What is the biggest value in 2, i, 0.2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46678539 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 + 3*t**2 - 3*t**2. Let d(y) = -y**2. Give d(z(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**8\/33600 - z**7\/12600 + z**4\/12 + 9*z**2. Let a(y) be the second derivative of t(y). Solve a(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 25*p + 6. What is n(-2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 + 4*u**3 - 5*u**3 + (21 + 55 - 8 - 9)*(-2*u**3 + 3*u**3 - 4*u**3).\nAnswer: -181*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 7, -2, -29, -80, -161, -278?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58120 and 122620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003509541 to 7 dps.\nAnswer: -0.0000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7471272*v**5 + 2*v**2 - 3562002*v wrt v?\nAnswer: 149425440*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*(51\/(-34) - (-3)\/(-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.72 - -0.194\nAnswer: -0.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -161, -104, -15, 100, 235, 384?\n\"Answer: -s**3 + 22*s**2 - 2*s - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*((-3)\/1 - 1). Suppose 4*m - 8*y + j*y = -32, -8 = -2*m - 4*y. Suppose 5*w = -2*q + 5 - 20, -2*w = -2*q + 20. Put -3, q, m in increasing order.\nAnswer: m, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*(-16)\/3. Suppose 6*f = i*f - 34. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*j**2 + 21*j**3 - 29*j**3 + 10*j**3 to a*j + y*j**2 + d*j**3 + m and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3)*x)**41)**(-1\/38) assuming x is positive.\nAnswer: x**(41\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-1 - (-35 + 1)) + -80 + 66)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34.2 + 34. Which is smaller: 1\/19 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -91, -192?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((6*(sqrt(147) + -1*sqrt(147) - sqrt(147)) + 2 + (sqrt(147) - (1 + sqrt(147) - sqrt(147))) + sqrt(147) + sqrt(147))**2 + 5)*4 + -5.\nAnswer: -168*sqrt(3) + 5308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -45 - 18 + 109*a + 3 - 13*a. Is i(3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5116552 (base 7) in base 16?\nAnswer: -94e01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1248)\/260)\/(78\/(-30))?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - -1c3?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:39 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1754907 divided by 21\nAnswer: 83567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 - x. Let s be d(1). Suppose -2*o - 44 = -s*n, 5*n + 6*o - 96 = 4*o. Suppose -n = -3*j - 8. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4832 is divided by 2259.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-29 - -28)*(1 - 0 - 104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 4*a**2 - 2*a**2)*(24*a**2 - 24*a**2 + 6*a**3) + (-2 - a**2 + 2)*(-5*a**2 + 3*a**2 + 4*a**2)*(38 - 33 + 0*a + 8*a).\nAnswer: -22*a**5 - 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*z + 6. Let q(y) = -8*y**3 + 10*y**z - 3*y**3 - 5*y**2 - 2*y - 4*y - 5. What is the units digit of q(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1)\/(-4)*1\/(-6).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 55, 63, 73, 85?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11919587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-10))\/((-96)\/(-240)). Let q = 27 + 1. What is the highest common factor of q and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 43*s + 28 + 18 - 46. Let k(r) = r**2. Determine m(k(j)).\nAnswer: 43*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - 3*b + 11*b - 6*b + 0*b**4 - 2*b**4 + 3*b**2 as z*b**4 + u*b + w*b**2 + h*b**3 + r and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 32.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2 - -4)\/(-1 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 0.7 (b) -1 (c) -4.103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h**2 + 2*h - 1. Let r(v) = -17*v**2 - 4*v - 2. Determine 2*j(f) + r(f).\nAnswer: -3*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 405147 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**5 - 24*c**4 - 44*c**3 - 8*c**2 + 48*c + 32 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 18*p**2 + 43*p - 63. Let b be (1 - 2\/(-6)) + 336\/18. Determine o(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 7*g**2 + 6. Suppose -2*y + 5*f = -2 + 13, -4*y - 3*f = -17. Let k be y*(-1)\/2 - 6. Is l(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 529, 1122, 1715?\n\"Answer: 593*r - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -56*i**2. Let j(m) = 15*m - 3. Calculate n(j(x)).\nAnswer: -12600*x**2 + 5040*x - 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 42. Solve -4*l + k*o + 9 = -11, -2*l = -4*o - 22 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j + 15 = 3*m, 10 = 2*j + 2*m. Suppose 5*p - 5*t = p + 44, j = 3*t. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 15*k + 567 = 0. What is the highest common factor of 18 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, 15226, 5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77 + (-293 - -62) + 73.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-66 - 1 - -8) + (0 - 8) + 5\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272, 552, 824, 1082, 1320, 1532, 1712?\nAnswer: 1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 2*i**3 + 2*i**2)*(-4 + 1 + 2) + 6*i - 6*i + 3*i**3 + (151 - 151 + 24*i**2)*(0*i + 0*i - 4*i).\nAnswer: -95*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 217+-0.37\nAnswer: 216.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4) + -12 + 0 + -8 + 7\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 16 + (0 + -3 - -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27\/4 in 9542, 0.5, -2, -20\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*f**3 - 2*f**2 - 1 - 24*f**4 + f + 49*f**4 - 23*f**4 to r*f**4 + c*f**2 + z + g*f + q*f**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -9. Let r = 0.12 - 1.12. Put n, r, -0.3 in decreasing order.\nAnswer: n, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.4 + -3.72. Let f = -1.32 - q. Let m = 2.5 + -3. Which is the third biggest value? (a) m (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-8) - (-10)\/8) + 1. Solve -s - d + 5 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243417.\nAnswer: 3, 41, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -413205431 (base 6) to base 3\nAnswer: -111110112001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 - 29\/(-3). Suppose 3*c + 3*c - 180 = 0. Let p be 250\/((h\/c)\/3). Round p to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -43, 10, 2 in decreasing order.\nAnswer: 10, 2, -37, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k + 6. Let w be (16 + -9 + -6)\/((-2)\/4). Let h(t) = 5*t - 7. Calculate w*h(y) - 3*i(y).\nAnswer: 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2794?\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 15) + 0 - -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/5)\/((-6)\/(-15)). Let i = -0.2 + 0.1. Let y = -152 - -150. Which is the smallest value? (a) y (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 455\/(-6916)*4*(18\/(-15))\/3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - z = 10, -17 = l - 3*z + 8*z. Let m = 6 - l. Suppose -4*h = -2*v - 2 - 28, 0 = h - m*v - 20. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 129, 4894, 9659, 14424, 19189?\n\"Answer: 4765*o - 4636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149 - -242. Let l = -78 + r. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/10 - 39\/15. Let p be (-290)\/35 + m\/(-7). Let k = p + 27. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 51. Calculate the highest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -15. Let n = 19 - z. Suppose -4*m + 5*h + 44 = 0, -3*m + n*m + 4*h - 2 = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -16*b**7\/35 + 119*b**4\/24 + 22*b**2. Find the second derivative of z(n) wrt n.\nAnswer: -1152*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 22*a - 30*a + 0*a - 2. Let l(o) = -o. Calculate 3*l(b) - v(b).\nAnswer: 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1526 and 4200424.\nAnswer: 29402968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 80*y**2 - 25*y + 27. What is the thousands digit of r(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, s: 1, z: 1, c: 1}. Give prob of sequence qw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156*(-2)\/(-20))\/((11475\/250)\/(-153))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose a + k = -2. Let y be (-3 + 2)*(a - 1). Solve -r + 2 = y*i + 7, -3*r + 3 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 3. Let i(f) = -1 - 16 + 142*f**2 - 141*f**2 + f. Let p be i(-5). Give a(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuur when four letters picked without replacement from {r: 1, t: 2, u: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 < 1745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4690190?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -99, -197, -295, -393, -491?\n\"Answer: -98*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34998.\nAnswer: 2, 3, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850662 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 16*h**2 + 77*h + 13. Give l(20).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p + 0*p)*(p - 5*p + 2*p) + 87*p**2 + 4409*p - 4409*p + 4*p**2 - p**2 - p**2.\nAnswer: 87*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*s - 5*d, 0 = -37*s + 27*s - d - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1.9. Let z be -8 + (-2)\/((24\/(-9))\/4). Let b(f) = -4*f - 15. Let t be b(z). What is the smallest value in -2\/11, w, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmplllpplllllp. Give prob of picking 2 p and 2 l.\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/28107 and 151\/15889824?\nAnswer: 47669472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f**3 + 2. Let s(a) = 22*a**3 + 7. Suppose 8*i = -m + 13*i + 149, 3*m + i - 415 = 0. Suppose m*t = 137*t + 4. Give t*s(d) - 7*z(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 3*y**3\/2 + y**2\/2 - 4*y. Let n be w(1). Let b(r) = -n*r + 7*r - 3 + 6*r. Give b(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12 - ((-715)\/2288)\/(2\/(-72)). Factor -w*f**3 + 3\/2*f + 0 - 3\/4*f**2.\nAnswer: -3*f*(f - 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -28. Suppose -2*y - s = -6*y. Find the third derivative of -5*i**2 + y*i**5 + i**2 + 6*i**2 wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 + -5.1. Let p = q + 3. Which is bigger: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1303266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o - 18. Let f(u) = -1. Let b(d) = -6*f(d) + x(d). Let z be b(16). Suppose -7*a + z = -5*a. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 + 3*t**2 + 4*t**2)*(6 - 6 + 4*t - 3*t - 3*t + 4*t + (-1 - 1 + 4)*(6*t - 2*t - 2*t) - 5*t + 4*t + 3*t + 2*t - 3*t + 2*t).\nAnswer: 99*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*r - 233*r - 5 = 2*t, 5*t - 10 = -3*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -398939 by 398939.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l\/l**(-21)*l))**(-3\/11) assuming l is positive.\nAnswer: l**(72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*w + 41 - 25 = 0, -16 = l - 5*w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 0)*(6 - 2 - -2). Let i(g) = g**2 - 9*g - 58. Does 31 divide i(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2. Let j(o) = -851*o**2 + 7*o + 11. Let p(b) = -426*b**2 + 4*b + 6. Let x(f) = 4*j(f) - 7*p(f). Determine v(x(m)).\nAnswer: -534252*m**4 + 5064*m**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 11, -28, -103, -226, -409, -664?\nAnswer: -1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171\/5 less than or equal to 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/4 - 75*g**4 + 4492*g**3 - 90768*g**2 + 529408*g - 933888 = 0. Calculate g.\nAnswer: 4, 32, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5247.785us?\nAnswer: 0.005247785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 396\/17, 0.2, 5, 19, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*z - 2, 3*z = -2*z - 4*b - 5. Suppose 5*d + 2*r = r, 0 = 3*d - z*r. Let n(v) = v + 59. What is the remainder when n(d) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 214.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2 - (9 - 9)) + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quuc when four letters picked without replacement from {q: 1, c: 3, u: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1117*c**3*d*m + 2*c**3*m + 40*m wrt d.\nAnswer: -1117*c**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d - 74. Suppose d*h - 29*h = -88. Is -11 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/3 + 100*l**3\/3 + 1313*l**2\/3 + 3254*l\/3 + 680 = 0. What is l?\nAnswer: -85, -12, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s. Let c(r) = -r + 11. Let z be c(-5). Suppose -4*n + 3*d = -z, -4*n - d + 2*d = -16. Let v(g) = 2*g + n*g - 9*g. Determine v(q(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 13*n. What is the tens digit of g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -2\/9, 1, 2\/17, -29?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -14347*s**4\/24 - 2123*s**3\/6 - 2*s**2 - 2*s + 3385. Differentiate l(o) with respect to o.\nAnswer: -14347","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 6844 - 9839 = -193*h. Suppose 5*p - 2*b - 10 = 0, p = 5*p - 4*b - 8. Suppose -p*r = 2*r - 116. Calculate the remainder when h is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -435\/90193 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 868\/5 - 174. Suppose 7*c = 2*c - 20. Let v = 0.9 - 0.6. What is the nearest to x in v, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 2583 = -10*g. Suppose -9*t + g = -8*t. Let q = -226 + t. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*3\/(-56)*4\/(-6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 47 - 187. Suppose -25*m + 21*m = 5*c - 125, -3*m = -2*c - 111. Calculate the remainder when m is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.475770507 to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 28*c**2 + 151*c + 111. What are the prime factors of d(-35)?\nAnswer: 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 5*a + 45, -95*f + 90*f = -5*a - 55 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 483.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d - -5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1218906 + 4?\nAnswer: -1218902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 - 4*y**2 + 4. Let r(z) = -4*z**3 - 4*z**2 + 3*z + 4. Let b(s) = 5*s**3 + 5*s**2 - 4*s - 5. Let a(l) = 3*b(l) + 4*r(l). Give 4*a(g) - o(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/3 + 158*c\/3 - 200 = 0. What is c?\nAnswer: 4, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -938 divided by 9.\nAnswer: -938\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -175593, -175098, -174605, -174114?\n\"Answer: -o**2 + 498*o - 176090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1251)\/(-3240) - 2\/5. Let o = -47\/72 + p. What is the third biggest value in 4, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-347 - -348) + (40 - (1 - 1)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66518260 at most as big as 66518258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117917724.\nAnswer: 2, 3, 19, 517183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 33\/944, 6, 2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/9)\/(16\/(-4))*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34 - 41*i**4 - i**2 + 11*i**4 + 10*i**3 - 24*i**3 + 11*i**3 wrt i?\nAnswer: -720*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158632687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 6)*(3*u - u + 0*u) + (3 + 0 - 1)*(-2*u + 1 - 1) + 10 + 3*u - 10)*(1 - 7 + 4).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2058636 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -76, -79, -82, -85, -88?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250221 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -14. Suppose 131 = -5*p + i. Does 16 divide (-4)\/28 - 339\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1944, -1828, -1698, -1560, -1420, -1284, -1158, -1048?\n\"Answer: -l**3 + 13*l**2 + 84*l - 2040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 164, 395, 790, 1355, 2096, 3019?\n\"Answer: p**3 + 76*p**2 - 4*p + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, x: 1, s: 9, b: 1}. What is prob of sequence bvvv?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w + 12 - 4*w - w + 8*w - 2*w. Calculate a(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 81*f**2 - 896*f - 852. Determine u(-68).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 3 + 0*l - 4)*(-3*l**3 - 2*l**3 + 4*l**3 + (-2*l - 2*l + 2*l)*(-3*l**2 - 3*l**2 + 4*l**2)).\nAnswer: 6*l**4 - 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -20, 0, 42, 112?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 715401069 a multiple of 3471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 37. Let k be ((-16)\/d)\/(2 + 0). Let p = -0.11 - -0.11. Which is the third biggest value? (a) 1 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/60 - 4*q**2. Let o(h) = 567*h**2 - 161*h. Let r(u) = -21*u**2 + 6*u. Let t(p) = 6*o(p) + 161*r(p). Calculate c(t(y)).\nAnswer: 441*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.066761869 - 1.\nAnswer: -0.933238131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108049289 to the power of 1\/3, to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*c)*(5 + 4 - 5) + (-7 + 39 + 6)*(-259 + 259 + 8*c) as a + k*c and give k.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2994162 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**4\/6 - 31*r**3\/6 + 113*r**2\/2 + 8*r + 7. Let d be s(10). Solve 0 = -3*l + d*k + 9, -4*l - 3*k = -5*k - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d**2 - 2*d + 5. Let u(l) = -7*l**2 + 3*l - 4. Give 6*j(a) + 7*u(a).\nAnswer: -a**2 + 9*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8*j + 3942 = 0. Is 36 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28\/25 + 18\/25. Which is the biggest value? (a) -5 (b) f (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 z, and 2 q when four letters picked without replacement from dzaazfzqoqa.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**3 + 7*d**2 - d - 2. Let f(q) = -4*q**3 + 6*q**2 - 2. Let g(y) = 3*f(y) - 2*s(y). Let t be g(3). Let w = 25 + t. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -3 - 1\/(3\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 - -79. Let h = -19\/5 + 67\/15. What is the closest to 1 in a, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3537 and 7419054?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 18253*y = 18250*y + 7, 2*y + 6 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 182\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*c**2 - 6*c**2 - 3*c**2 - 5*c**2 - 6*c**2 + 4351*c in the form v*c + m*c**2 + i and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h**(2\/11)*h)))*h**(8\/5))**7*(h**(-2\/15)\/(h*h**(-7)))**(-37) assuming h is positive.\nAnswer: h**(-34178\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from {j: 4, o: 2, r: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3847391 and 1354?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 + 91. Solve 3*t + v = r + 2*t, -11 = r + 4*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -16 + 8. Solve -h*d = i - 7, 4*i - d = -3*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*l**3 - 40*l**3 - 4*l**3)*(10*l + 19*l + 71*l) to p + n*l**4 + d*l + v*l**2 + q*l**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15656 and 1236.\nAnswer: 46968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181 + 118. Let z = n - -65. Calculate the common denominator of z\/14 + (-80)\/364 and -35\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1243609 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(7) + -1 + sqrt(7)*1)**2 + (sqrt(63)\/(sqrt(9)*-4))**2 - (sqrt(56)\/(sqrt(48)\/sqrt(6)) + -3 + 0).\nAnswer: -4*sqrt(7) + 519\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43, -55, -75, -103, -139, -183?\n\"Answer: -4*k**2 - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.27 (b) 1\/7 (c) -1 (d) 522 (e) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z**2. Let v(y) = -51 + 51 - y**2 + 2*y**2. Give j(v(h)).\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1055 is divided by (-5)\/(770\/(-126) - -6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -34 - (133 + -150).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 164 and 36.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 less than 91927617041?\nAnswer: 91927617065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11 + 57055.\nAnswer: 57054.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2665960 is divided by 51266.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/6))**(-8\/11)*c**(-9)*c**(-14) assuming c is positive.\nAnswer: c**(-763\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 = 3*q, -11*q + 13*q = 5*a - 16. Suppose 3*g = a*l, 4*l + g - 20 = -g. Calculate the greatest common divisor of 147 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by (6\/(-5))\/((-3)\/50 + 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1362*x - 34316. Determine z(-25).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -201\/5*k - 1\/5*k**3 + 102\/5*k**2 + 20.\nAnswer: -(k - 100)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 1550210?\nAnswer: -1550214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*p - 229*p = -251*p - 300*p - 243*p. Factor 1\/3*g**4 - 4\/3*g**2 - 1\/3*g**3 + 4\/3*g + p.\nAnswer: g*(g - 2)*(g - 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4904389cm to micrometers.\nAnswer: 4904.389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446086*y**2 - 15*y - 11*y - 475013*y**2 + 26*y.\nAnswer: -921099*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30732735 divided by -15?\nAnswer: -2048849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -96.3534 and -0.24.\nAnswer: 23.124816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -187, -257, -343, -451, -587, -757, -967?\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2 + (0 - 3 + 0)*(0 + 1 - 5))*(7 - 1 + 5)*(-c + 2*c - 3*c).\nAnswer: -220*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -831 (base 14) to base 16.\nAnswer: -64b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(325) + 0)**2 - ((4*1*sqrt(117))**2 - sqrt(117)).\nAnswer: -1547 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 12) to base 9.\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -367 + 369. Let l be 34 - 36 - t*-2. Solve 6 = -l*h - 2*r, 0 = -2*h - 3*r - 3 - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1. Let b = -0.1 + 5.1. Let z be 3\/63 - (-2)\/7. What is the closest to -0.1 in b, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q*u**4 + 2*q + 1165*u**4 - u**2 - 1207*u wrt u.\nAnswer: -48*q*u + 27960*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, r: 1, p: 4, u: 5}. Give prob of sequence npn.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1610269051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-27)\/(-24) + 2346\/(-2448)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -301\/5?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - 6 + 0*f**3 - f**2 - f**4 - 5 + 4 - 2*f in the form i*f + h*f**3 + g + l*f**4 + q*f**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.66124ml in litres?\nAnswer: 0.02366124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2193097331?\nAnswer: 109, 131, 153589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8324?\nAnswer: 2, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, y: 3}. What is prob of picking 1 v and 2 y?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5434\/7 - 776. Let v = 31 - 28. What is the fourth smallest value in v, -5, -1\/4, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**4 - 5*u**3 + 42*u**2 - 12*u - 56 = 0.\nAnswer: -14\/3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + q + 16357*q**3 - 8*q - q - 16283*q**3 as z + f*q**3 + n*q + v*q**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-60)*138)\/1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -814623*0.039\nAnswer: -31770.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128.2 - -128.19245. What is q rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107292 divided by 3.\nAnswer: -35764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -57384 minus 3?\nAnswer: -57387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + w + 1 - 0, 0 = 5*m - 3*w - 3. Suppose -3*h - 7*d + 3*d = -86, -3*h + 2*d + 56 = m. Let u = h + -9. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3516569 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: Is 100319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/28 + 1\/7. Find the common denominator of g and (-4 + 17)\/(3*(-24)\/(-9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 23. Factor -12*l - 5*l**2 + 4*l**2 - 3*l**p.\nAnswer: -4*l*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461663*m - 461660*m = 4*v + 20, -4*m = v - 33 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 2)\/((2\/10)\/(-1)). Solve 4*p + 2*v + o = -9, -7 = 3*p - 2*v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * -2.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) + sqrt(102)\/(sqrt(2) - (sqrt(2) + sqrt(2)*-4)))\/sqrt(3) + -3 + ((-3 + 3 + sqrt(68))*-4)**2.\nAnswer: 5*sqrt(17)\/4 + 1085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**2 - 24*w - 160 = 0.\nAnswer: -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 9, o: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490568 divided by -3?\nAnswer: -496856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20300403 (base 5) to base 10\nAnswer: 165728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27788 + -15?\nAnswer: -27803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, 27, 65, 129, 225, 359, 537?\n\"Answer: l**3 + 4*l**2 - l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.032 + 0.032. Let f be (-1 + 0)\/(-1)*0. What is the nearest to z in -1\/4, -1\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*u - 33. Let w = 19 - u. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187331 divided by 187331\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -5*w**4\/4 - 4*w**2 - 9. Find the second derivative of i(v) wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5405293 * 0.4.\nAnswer: -2162117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbxxbxxbxxxxbxxxxx. Give prob of sequence xxb.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19188*q*r**5 + 4*q*r**2 + 35*q*r + 4 wrt r?\nAnswer: -1151280*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 - -23. What is o rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1004 (b) 2 (c) 1 (d) 0 (e) -18 (f) 0.4 (g) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50450621827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337634 divided by -11.\nAnswer: -30694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2366 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -321*w**6\/40 + 21*w**5\/2 + w**4\/24 - w**2 - 16. Find the third derivative of z(m) wrt m.\nAnswer: -5778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**4\/12 + 4*g**3 + 12*g**2 - 25. Let h(i) be the second derivative of a(i). What is the units digit of h(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-18))\/(3525\/(-67680))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.037? (a) 5 (b) 3 (c) 22 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4466*m**3 - 5*m**2 + 7*m + 15. Let n(h) = 6698*h**3 - 7*h**2 + 10*h + 21. Calculate 5*n(l) - 7*r(l).\nAnswer: 2228*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 10*g - 24. Let f be t(-6). Suppose f = -2*q - 3*s + 197, -2*s - 239 - 63 = -3*q. Does 25 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 295799808 to the nearest integer?\nAnswer: 17199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4407821 or -4407823?\nAnswer: -4407823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sejsejje. Give prob of picking 2 s and 2 e.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r*r**(-22)*r*r))*r**23\/r)\/(r**(1\/17)\/r**19) assuming r is positive.\nAnswer: r**(390\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in 0.5, -5, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20681837 a multiple of 2180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 16, 38, 0, -4.\nAnswer: -4, -3, 0, 1, 16, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*y - 16. Suppose -y*b + 7*b = 5*u, 2 = u. Let a be (-2)\/(-6) - (-5)\/3. Solve l - b = -2*k - 3*l, 14 = -4*k - a*l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/75*1)\/(9\/18)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13832 + 20 - 4*s**3 - 60 - 4791*s + 260*s**2 + 983*s = 0. Calculate s.\nAnswer: -3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 35\/10)*-27*152. Let f = -10258\/5 + k. Let -6\/5*o**2 + 18\/5*o - 2 - f*o**3 = 0. Calculate o.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1234788 and 36?\nAnswer: 3704364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2328465, -4656932, -6985397, -9313860, -11642321, -13970780, -16299237?\nAnswer: -18627692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 1. Let o = 1 + t. Suppose 0 = 4*a - 2*l - 18 + o, 0 = 2*a + 4*l + 2. What is the remainder when 8 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4377*b - 4382*b - 49 = -13*u, -u = -6*b - 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 3\/2, 0, 2, -2, -0.049?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 a when four letters picked without replacement from fafafffafaaaf.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*(s**2\/s*s)\/s)**(5\/7)*(s**(-6)*s)\/((s**3\/s)\/s)*(s\/s**(-5\/4)*s*s**(3\/7))\/(s**(2\/3)\/s)**(13\/4) assuming s is positive.\nAnswer: s**(34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (10 + -5 + (-17 - -1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 11:37 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*o**4 - 8888*o**3 - 17796*o**2 - 9520*o - 464 = 0. What is o?\nAnswer: -58, -1, -2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2495 from -13.\nAnswer: 2482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 229, 954, 2171, 3886, 6105, 8834, 12079, 15846?\n\"Answer: c**3 + 240*c**2 - 2*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2773196*t**2 - 2773196*t**2 - 14*t**3.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 8*l + 3 - 73*l**2 + 72*l**2 - 23. Suppose 4*c + 1 = 21. Calculate the remainder when d(c) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 48444*c**3 + 148333356*c**2 + 10005673716*c.\nAnswer: 4*c*(c + 69)*(c + 6021)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 26*v**7\/35 + 7*v**5\/4 + v**3\/6 - 7*v**2 - 7. Find the third derivative of w(y) wrt y.\nAnswer: 3744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5366 - 2079 - 492*z**3 + 1457*z**3 + 140 + 1379*z**3 wrt z.\nAnswer: 7032*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2127150 and -109\/236350.\nAnswer: 2127150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*q**5 + 1975*q**4 - 1245*q**3 - 3735*q**2 - 1350*q = 0.\nAnswer: -3\/5, 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(5\/6)*h**(-11)*(h\/h**(-1\/2))**(-7) assuming h is positive.\nAnswer: h**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3*u - 4)*(2 + 0 - 1) + (-5*u - 12*u + 0*u)*(-8 - 3 + 1) in the form c + y*u and give y.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 422*-2*4\/8. Let v = 1699\/4 + p. Calculate the common denominator of v and ((-2)\/(-8))\/(16\/(-808)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50\/7 - 193\/28. Let i = -1033707\/5 + 206741. Which is the second smallest value? (a) i (b) 2 (c) -9 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5434426 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = -5*f. Suppose 2*d + 38 = -i + 97, -3*d - 2*i + 91 = 0. Let k be (12\/(-15))\/(f - d\/(-25)). Let x(p) = p + 17. Determine x(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -22 - 3. Suppose 2*w - 48 = -2*f, -118*f + 117*f = 2*w - 22. Solve 5*b + 0*b = 5*p - 10, 3*b = -z*p + f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*j - 3 + 1, -3*l + 3 = 4*j. Suppose -5*d - 175 = 5*i, 8 = -i - 3*d - 19. Let g = i + 41. Sort g, l, -2.\nAnswer: -2, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9495, 37971, 85431, 151875, 237303, 341715, 465111?\n\"Answer: 9492*c**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/26169949 or 1?\nAnswer: 12\/26169949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7053 + 14?\nAnswer: -703c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -9301 (b) 2 (c) 4 (d) -0.4 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**(-3\/7)*w)\/w)*w*w*w**(-5)*w)\/((w*w**(-4))\/w**(1\/13))*(w*w\/((w*w*w**(1\/2))\/w))**(-31)\/(w*w**0\/w*w)**(-11\/6) assuming w is positive.\nAnswer: w**(-3047\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fb0fc (base 16) in base 11?\nAnswer: 642682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.3, 39084, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 9538393?\nAnswer: 76307144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -39. Suppose -4*q - 12 = -4*b, 3*q + 3*b - 9 = -42. Let o = r - q. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/163, 1, -3 in ascending order.\nAnswer: -3, -13\/163, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from {p: 2, w: 1, k: 1, t: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7250 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -d40 (base 16) to base 8\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00312407 rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 18*t - 7. Is s(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1)\/(1\/29). Suppose -5*a + b = 9. Solve 0*r - 12 = a*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160125250 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 - 5*o**2 + 6*o. Let u(w) be the first derivative of 7*w**4\/4 + 11*w**3\/3 - 13*w**2\/2 - 2391. Calculate 5*q(r) + 2*u(r).\nAnswer: -r**3 - 3*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**1\/h))\/h*h)**2*(h**(1\/4))**43*((h*h**(2\/9)\/h)\/h*h\/(h**7*h))\/(h**(-2\/29)*h**(-1\/6)*h) assuming h is positive.\nAnswer: h**(4393\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + 1 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55189.8mg in grams?\nAnswer: 55.1898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igiiliiip. Give prob of sequence lg.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i*m**4 + 29*i*m**3 + 479*i*m + m**5 + 37*m**2 wrt m?\nAnswer: 120*i*m + 174*i + 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -74. Suppose 5*w + d*u - 360 = u, -3*w + 4*u + 216 = 0. What is the third derivative of -7*c**3 + 88*c**2 + 6*c**3 - w*c**2 - 11*c**3 wrt c?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.105 - -0.005. What is the nearest to z in -0.4, -4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0923 + -0.5923. What is the fourth smallest value in b, 0.5, -27, 7\/3, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213823550 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7 = -2*f + 27, 0 = 2*n - 4*f - 4. Is (n + -9)\/((-3)\/191) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - p + 127 = -4*n + 4*n + 76, -7524 = -132*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/1956 or -1?\nAnswer: -5\/1956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*z + 5*y, 3*z + y + y + 8 = 0. Let v be z\/(-3) + (-198)\/(-27). Let p = 25 - 17. Calculate the highest common factor of p and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42.61 - 43. Let p = u + -0.01. Put -3, p, 3\/8 in ascending order.\nAnswer: -3, p, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -1\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26739309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(15)\/sqrt(3) + 2 + 3*sqrt(45) + -1))**2.\nAnswer: 640*sqrt(5) + 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/(-5))\/((-24)\/420). Let s be (-378)\/k - (-1)\/7. Solve f = 2, 0 = -s*p - f + 6*f - 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1066*m + 77*m - 1269*m - 300*m as x + v*m and give v.\nAnswer: -2558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = 0. Let v(r) = r**3 + r + 863. Is v(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*k - 13*v + 10*v, 6 = k - 2*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -4)\/3 - (3 + 2). Let v(y) = -15 - 10*y - 1 - y**3 - 8*y**2 - 1. Let t be v(k). Solve 4 = t*m - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 24*l**2 - 26*l. Let t(q) = -16*q**2 + 17*q. Let c(y) = -5*m(y) - 8*t(y). What is the second derivative of c(o) wrt o?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.252198 to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -54*c**3 - 149*c**2\/2 - 217*c. Differentiate r(o) with respect to o.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*l**4 - 3 + l**4 - 3*l**2 + 3*l**2 + (-l**4 + 0*l**4 - l**4)*(3 + 3 - 5) + 4*l - l**4 - 4*l + 11*l**4 + 921*l**3 - 921*l**3 - 2.\nAnswer: 11*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - ((33 - 6) + -19) - 22) + -3 + -121.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605 is divided by 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 240724709, 240724708, 240724707, 240724706?\n\"Answer: -g + 240724710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 + 172. Let o = 78 - n. Calculate the remainder when o is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 22*c + 114. Let l be o(-5). Solve -5*g - 2 - 10 = -2*s, -5*s - 36 = l*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**3 + 12*w**2 - 4*w - 22. Let p(d) = -14*d**3 + 34*d**2 - 11*d - 61. Calculate -17*n(g) + 6*p(g).\nAnswer: g**3 + 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**3\/3 - 7*f**2\/2 + 3*f. Let x be s(8). Let y = 9 + -6. Solve 3*t - x = 3*u, 0 = t - 2*t - 2*u - y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5 = 16. What is the remainder when h is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) - (sqrt(17)*1*-1 + sqrt(17))**2) + sqrt(17) + (2 + sqrt(34)\/sqrt(2))**2 + (5 + (sqrt(17) - (sqrt(17) + 0)) - sqrt(68)\/sqrt(4)*6).\nAnswer: sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-49)\/(-14) + -3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t - 2 + 17*t + 2.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 426*p**2 + 7706*p + 21. Give i(-18).\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -555*o*r**2 + 3*o*r - 2226657*o + 23*r**2 - 2*r - 2 wrt r?\nAnswer: -1110*o*r + 3*o + 46*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*u**4 - 3 + (2*u**3 + 0*u**3 + 0*u**3)*(u - 2*u + 3*u))*(3 - 3 - 4*u).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17203 is divided by 738.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1351 divided by -6?\nAnswer: 1351\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 2. Let i be b(-3). Solve 10 = 4*s + 3*w, -2*w - 16 = -i*s - 4*w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1372.3757 - -1780.338. Let v = l + -408. Round v to 3 dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108734764 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*-9*-2. Let w = -8 + v. Find the first derivative of 4*s**3 + 3*s - 3*s - w wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hexa when four letters picked without replacement from {a: 2, h: 4, x: 6, e: 1, d: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -15*h**3 - 9*h - 9. Let c(w) be the third derivative of 5\/6*w**3 + 11*w**2 + 0*w**5 + 5\/24*w**4 + 1\/15*w**6 + 0*w + 0. Give -9*c(l) - 5*t(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 24*p - 32. Let i(z) = 2*z + 2. Let y(s) = 17*s + 12. Let h(g) = -6*i(g) + y(g). Let j(u) = 5*h(u) - k(u). Give j(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k + 62*k + 16*k + 9*k. Let t(h) = 9*h**2. Determine t(q(n)).\nAnswer: 56169*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 + 3683492*v**3 - 36835070*v**2 + 92087800*v.\nAnswer: 2*v*(v - 5)**2*(v + 1841756)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/(-160) + (-74)\/(-16) and (-2)\/2 - 17\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70108 divided by 1\nAnswer: -70108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3744 divided by -2\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 11:39 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z + 44. Let t(o) = -17*o + 88. Let m(a) = -13*g(a) + 6*t(a). Let u be m(3). What is the nearest to u in 6, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**5\/20 - q**4\/2 + 5*q**3\/6 - 4*q**2 - 200*q. What is o(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(7\/5)*z\/(z\/(z\/(z**6*z*z*z)))*z*(z**(1\/5)\/z)\/(z\/(z**(2\/11)*z))*(z**(1\/4)*z**(-10))**21 assuming z is positive.\nAnswer: z**(-46413\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 3*o**2 - 2*o + 3. Let i(u) be the first derivative of u**4\/4 + 4*u**3\/3 + 3*u**2\/2 - 4*u - 300. Determine 2*i(f) + 3*r(f).\nAnswer: -f**3 - f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 244*p - 249*p - 3*q, 2*p - 3*q - 5 = -2*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2385.7 - -410.\nAnswer: 2795.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*(1*(1*sqrt(209)*-3 - sqrt(209)))\/((sqrt(704) + (sqrt(704) - (sqrt(704)*-2 + sqrt(704))))*4))**2.\nAnswer: sqrt(19)\/2 + 275\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -113240, -111234, -109228, -107222?\n\"Answer: 2006*h - 115246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -20*p + 1. Give q(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 191 = -5*b, 5*b + 8264 = 3*h + 8401 for h.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774510 is divided by 128946.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 577.955673 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4445264 divided by -4445264.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2109 by -57.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -394*b**5 + 27*b**2*v + 7*b**2 - 95*b*v + v + 79270 wrt b.\nAnswer: -7880*b**3 + 54*v + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x - 121182320 = -68*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -1 - (14 + -6 - 22)) + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2))**(-17))**(-4\/3)\/(a\/a**0*a\/((a*a*a**(-7\/4))\/a)*(a*a**(-1\/4))**(-36)) assuming a is positive.\nAnswer: a**(-253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27\/56 - 6\/7. What is the common denominator of 2 - (644\/40 - 5) and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1280)\/350)\/16*(-120)\/96?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*z + 2*z + 4*z)*(-2 + 2 - z) + 106*z**2 - 108*z**2 + 186*z**2)*(-2*z**2 + 0*z + 0*z).\nAnswer: -366*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*c = 2, -3*c - c = -3*h + 2. Let p(w) = 65*w + 9*w**h - 65*w. Let v(i) be the second derivative of -i**4\/6 + 215*i. Give p(v(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -16. Suppose 4 = 4*w - 4*s, 3*w + 4*s + s - 35 = c. Suppose -w*q + 150 = -2*j, -103 = -2*q - 3*j - 24. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2) - 113925\/209250?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 27*f**2 - 2*f + 2. Determine x(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 3. Let j(n) be the first derivative of -n**2 - 11*n - 2. Let u be j(-8). Let q be d(u). Calculate the greatest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 187, -4, -0.13, 4, -3, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - -1 - (133 + (-127 - -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*p - 1646*p = -14924 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.9 + -15. Let q = -0.27 - -0.37. Which is the second biggest value? (a) -1 (b) q (c) 3\/4 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8834733 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2\/2 - 287*t - 572 = 0.\nAnswer: -572, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.111 + 52.111. Let z = w - 53. Is -15 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/2*9\/12. Let t(j) = -15 - 2*j + 14 - 2*j**2 + 14*j**3 + 6*j**2 - 6*j**m. What is the tens digit of t(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:47 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1. Let d = 93 + -104. Let r(x) = x - 6. Let w = 6 - 4. Determine d*v(h) + w*r(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 10*f**3\/3 - f + 6. Determine i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -1\/30*h**6 + 0*h**4 + 0*h + 0*h**5 + 1 + 0*h**3 + 0*h**7 + 4*h**2 + 1\/84*h**8. Factor i(q).\nAnswer: 4*q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 19. Let n = a + -20. What is the least common multiple of n\/(-33) + (-200)\/(-11) and 11?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 28*p**2 + 22*p + 128. Let v be f(27). Which is smaller: -9 or v?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 2:11 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 4080.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240974 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36085427 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dld. What is prob of sequence dd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 3:00 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*j**3 + 18*j**3 - 32*j**3 + 3*j - j**3 - 3*j + (2*j**3 + 2*j - 2*j)*(4 - 5 + 0) + 2*j + 2*j**3 - 2*j - j**3 + j**2 - j**2.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 296 + 1030. Suppose 2*l = -324 + v. What is the tens digit of 1\/(l\/(-126) + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -g + k + 49, -10 = 2*k. Suppose 0 = -3*o + 3, 2*o + 110 = 5*r - g. Let p = r + -16. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 36*y = -189. Solve -7 = w - 2*v, w + 18 - 8 = y*v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 7*c + 12. Let t be k(-5). Solve m + l = 2, 4 = -4*m + 4*l - t*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z\/(z\/z**(-6))))\/z)**(-1\/48))**(-49) assuming z is positive.\nAnswer: z**(343\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*s + 1377 - 5549 - 4888 = -880*s for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 + 69972*q - 8439840 = 0.\nAnswer: -23444, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 2*k + 9, 2*k + 120 = 116 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g - g - 6*g + 5*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116.614 - -76.593. Let b = 230.5 + -191. Let s = b + a. Round s to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/7)\/(3\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 15*i + 10. Is 5 a factor of j(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 21354120?\nAnswer: -21354115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*h + 15*h + 45*h)*(-3*h**2 + 2*h**2 - h**2)*(9 - 21*h - 9).\nAnswer: -1050*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/648550 and 41\/77826.\nAnswer: 1945650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.83696us in minutes?\nAnswer: 0.000004580616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t - t - t + (-4 + 4 + 4)*(-2*t + 1 - 1))*(5 + 0 - 4) + (0 + 2 - 3)*(-4*t + 4*t + 2*t) in the form s*t + i and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6200\/7 - -886. Solve 2\/7*u**3 - j*u**2 + 2\/7 - 2\/7*u = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/4))**(-1\/59)*(i**(-1\/3))**39 assuming i is positive.\nAnswer: i**(-3073\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/2*(-8 + 7). Let i(w) = 4*w - 2. What is the lowest common multiple of 4 and i(j)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) + (-452)\/(-16). Suppose 0 = 9*z - 2*z - d. Suppose 27 = z*t + 2*l - 25, -5*t + l = -58. Solve 3 - t = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 55*p**3 + 27 + 66.\nAnswer: 55*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 466124227 and 1019?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 7*v**2 + 3*v - 8. Let s be b(-6). Is 6\/s + 424984\/35 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 18.771, -0.187.\nAnswer: -0.187, -0.1, 18.771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -10. Let z = 0.999936 - u. Round z to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34079, 68165, 102255, 136349, 170447?\n\"Answer: 2*i**2 + 34080*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -39*w - 6355. Determine p(-163).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -27. Which is smaller: g or -8\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131.9 - -164.9. What is the second smallest value in x, 0.8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.073 in -2\/11, 977, 2, -0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -4 + -27 + 20.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -1466 + 1432. What is the nearest to -0.1 in 1\/3, c, -1\/3, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -63 (b) 2\/41 (c) -0.1 (d) 174\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5))**(-43))**13 assuming k is positive.\nAnswer: k**(1118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 - -2.01. Let r = h + -9.1. Round r to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36480 is divided by 1920.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -3 + -2 + 3. Let s be 5*((-6)\/(-5))\/3. Solve m*p - s*w = -0*p + 6, 3*p - 7 = w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4 = 2*o. Let r(p) = -p**2. Let b(x) = 5*x**2 + 9*x. Let q(t) = o*r(t) - b(t). What is the second derivative of q(h) wrt h?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576505324.\nAnswer: 2, 37, 10652063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -1, 2, 5, -322 in descending order.\nAnswer: 5, 2, -1, -4, -7, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3 + 173665*m**2 + 2432125*m + 5733255 = 0. What is m?\nAnswer: -11, -3, 34747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 50*i - 40*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/(-3608)*-41 - (-5 + (2 - 1))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0718727 rounded to three decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/11, -1\/3, -148166, 2, -0.5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, t: 4}. What is prob of sequence ti?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from eqeedwqwqeddwevqqee.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1107*k - 21620 = 167*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -729 + 729.000000602. What is z rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1924000 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 13. Let u = 3 - m. Suppose 4*d - 5*j = 20, u*j = -0*d + d - 16. Solve 4*q - q - 12 = d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l - l)*(13*l**2 - 13*l**2 - l**3) + (-l**3 - 2*l**3 + 5*l**3)*(-2*l + l - l).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -80*p**3 + 3*p**2 + p. Determine x(-1).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 135 = -12*f. What is the least common multiple of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 16*t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.00862 - 0.005703. What is b rounded to four decimal places?\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2854195289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*r, 4*j - 4*r + 763 = 3239. Let y = j + -46. Suppose -c + 177 = n, 0 = -4*c - 3*n + y + 131. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8433801*h**2 - 2*h + 413600 wrt h?\nAnswer: -16867602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(-15)*t*t**(-10) assuming t is positive.\nAnswer: t**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31478, 61286, 91090, 120890, 150686, 180478?\n\"Answer: -2*v**2 + 29814*v + 1666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 240?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + sqrt(1377)*3 - sqrt(1377))**2 - (-5*1*(sqrt(1377)*-3 - sqrt(1377)))**2)*5*4.\nAnswer: -10574080 + 11520*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -6*z**3 + 479*z**2\/4 + 503*z\/4 = 0?\nAnswer: -1, 0, 503\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 90 = 5*v, -164*y + 160*y = -4*v - 56 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 2. Let b be i(-2). Suppose 3*l + b*l = -6, 4*p - 5*l = -1870. What is p rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 135854764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12537 + -10155. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**5\/5 - 54*o**4\/5 - 57*o**3\/5 = 0. What is o?\nAnswer: -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -4) + -1 + 25. Calculate the greatest common factor of 75 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45 - -4 - (3 + 0)\/1. Calculate the highest common divisor of 69 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1738939569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -35*a - 6. Let c(d) = 2*d. Give c(b(s)).\nAnswer: -70*s - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((4*sqrt(72) - (sqrt(18)\/sqrt(9) + 5)) + (sqrt(18) + sqrt(162)\/sqrt(9) - (3*sqrt(200) + sqrt(2))))**2.\nAnswer: 20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*w + w - x, 137*w + 5*x + 45 = 129*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 465*m**2 + 3040*m - 2580.\nAnswer: 5*(m - 86)*(m - 6)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18076 - 3143. Calculate the highest common divisor of s and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from bqvjv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(196) - (-3 + (sqrt(2) + sqrt(16)\/sqrt(8) - sqrt(2)))) + 3.\nAnswer: -6*sqrt(2)\/7 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 4*z**2 + z. Suppose 2*y - 5*y - 1305 = 0. Let j be (-4)\/30 + (-1798)\/y. Calculate v(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + ((sqrt(153)*2 - sqrt(153))*1 - sqrt(153)) + -4 + 1*sqrt(153) + -5*(-5 + sqrt(153) + sqrt(153) + sqrt(153)*-2 - sqrt(153) - sqrt(153))))**2.\nAnswer: 5808*sqrt(17) + 75988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 75*d + 117. Let h = -4577 + 4616. Give p(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/7)\/r**(-1\/3)*(r**(2\/7))**(-1\/88))\/(r**(2\/3)*r\/r**(1\/5))**43 assuming r is positive.\nAnswer: r**(-287863\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11110111122 + 12?\nAnswer: -11110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453050 a multiple of 355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11141654 to the power of 1\/2, to the nearest integer?\nAnswer: 3338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r**3 + 7*r**2 - 14. Let d(o) = -9*o**3 - 6*o**2 + 13. Let g(t) = 7*d(t) + 6*s(t). What is the derivative of g(v) wrt v?\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.7 - 0.7. Suppose -3*x - 4 = -1. Let f be x*4*11\/330. Which is the closest to -1\/4? (a) f (b) d (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -758066*h*l - 1338934*h with respect to l.\nAnswer: -758066*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.201, 0.2, -0.5, 1\/9?\nAnswer: 0.201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226573 is divided by 475.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, n: 4}. Give prob of picking 3 n.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w - 4*w**3 + 2*w + w - 28*w**3. Calculate the remainder when y(-1) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**2 - 14. Let k(w) = -3*w**2 - 14. Let o(d) = 2*b(d) - 2*k(d). Let x(t) be the third derivative of -5*t**4\/24 - t**2. What is o(x(r))?\nAnswer: 350*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 14 + -3 + 1 + -9 - 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a73 (base 11) to base 8.\nAnswer: 5075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + w = 3, a = -0*a - 2*w + 6. Is -1*(-797)\/(1 - a\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43000269.\nAnswer: 3, 13, 1102571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 62631979103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 78 = 4*d, m + 4*d - 30 = -0*d. Suppose m = -a + 4*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1.02, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23130*j**2*u - 5520*j**2 - 75628703*u wrt j.\nAnswer: -46260*j*u - 11040*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 8 + 7. Suppose w = j + 5 - 6, -h*j - 2*w = 7. Is j\/((-1)\/(-42)*-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 39160889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 0.0093.\nAnswer: 0.00558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2310 is divided by 563?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 2\/23 (b) -1 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -463*o**3 + 5*o - 3. Let n be p(3). Let a be ((-11)\/3 - 1)\/(23\/n). Let c = a + -1364. Round c to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 2. What is m(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**2*p))\/(p**(-14)\/p*p))**(-3\/4) assuming p is positive.\nAnswer: p**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) 1 (c) -6 (d) -1\/2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/((sqrt(63)\/sqrt(3) + sqrt(21))\/sqrt(3)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 3*s**2 - 3*s + 4. Let i be j(-4). Suppose -2*p - n = -561, 0*p + 3*p + n - 839 = i. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20205 - 12239193?\nAnswer: -12259398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 542381 (base 16) to base 15\nAnswer: 73dc28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-35))\/((-31)\/217).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + -148. Let p = g - -61. Solve 5*b - 3*o = -8, -p*o + 24 = -5*b - 3*o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 less than 63.776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4128 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6}. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p - 5 = 0. Let f = 947 + -963. Sort p, f, -1.\nAnswer: f, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**24)\/z)\/z**(4\/11))\/(z\/z**(-6\/5)*z*z**(-1\/4)) assuming z is positive.\nAnswer: z**(-6009\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 3)\/(9\/6). Let g = x + 1. Suppose 123 - 122 = u - 2*p, 2*u - 8 = 2*p. Solve -g*l = -22 + u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + i + 6. Let n(w) be the second derivative of 1\/12*w**4 - w - 1\/6*w**3 - 5\/2*w**2 + 0. Let g be (-8)\/(-2)*(-6)\/(-4). Determine g*n(y) + 5*s(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.145 times -0.282\nAnswer: 0.04089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2 + 25380*o = 0.\nAnswer: -12690, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32028 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 480 by 120.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1603 and 13517.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14260*-2\nAnswer: 28520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvj when three letters picked without replacement from jjjvjvjjvvjjvjvvjvvj?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243.1132 nanograms to grams.\nAnswer: 0.0000002431132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1960842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*k - 150. Let h = 146 + 21. Suppose u - 116 = -o, o - u = -49 + h. Calculate the remainder when o is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 + (-11 - -35) - ((2 - -1) + 0) and 145.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*d - 874*d - 164*d)*(3*d**3 + 3*d - d**3 - 4*d).\nAnswer: -1804*d**4 + 902*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1230 + 1233. Let h = -98 - -95. Let s = 0.1 + 0.1. Which is the smallest value? (a) h (b) s (c) m (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -30. Which is the nearest to v? (a) -1\/3 (b) -0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 20 = 2*z + 2*g, 6 = -3*g. Let f be (-8)\/(-3) + 8\/(-12). Suppose f*j + p - 1 = -0*j, 4*p = j - z. Solve -j*h + 4*h = -4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/1)\/(-1*1). Let j(n) = 3*n**2 + 8*n + 25. Let i(t) = -2*t**2 - 5*t - 17. Let m(f) = 7*i(f) + 5*j(f). List the prime factors of m(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 + 2*n**4 - 4*n**4 - 6071*n**3 - 305*n**4 + 6071*n**3 + (-n**2 - 3*n**2 + 2*n**2)*(0*n - 2*n**2 + 0*n))*(-1 + 1 + 2*n) + n**5 - 7*n**2 + 7*n**2.\nAnswer: -605*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7 - 3)*(g - 3*g - g + (3*g - 3*g + 2*g)*(2 - 1 - 3) - g + 0*g - 8*g).\nAnswer: -96*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3676198 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(9)*-1) - (sqrt(14) + (sqrt(14) - ((sqrt(168) + -1*sqrt(168) + sqrt(168))\/sqrt(12) - sqrt(14)) - sqrt(14))))\/(sqrt(84)\/(sqrt(108)*4)).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**6\/10 - i**4\/3 + 2*i. What is the third derivative of g(j) wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bab when three letters picked without replacement from aaabbbb.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 5*c**2 + 3*c + 4. Suppose h - 28 = 3*l, -6 = l + h - 2. Let d be (-96)\/2 + 4*l\/16. Let b = -44 - d. Calculate k(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -33*w**3 + w**2 - 2*w + 1. Let o(z) = -z + 2. Let t be o(1). Calculate j(t).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5558 != 5346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -1\/12*g**4 - 104\/3*g**3 + 66 + 0*g**2 + g. Find the second derivative of z(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169 and 185185.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 35955*s - 35950.\nAnswer: -5*(s + 1)*(s + 7190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.84194358 rounded to one decimal place?\nAnswer: 36.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4498 divide 2315931768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103278 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b**2 + 18*b**3 - 17*b**3 + 31*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 7*y**2 - y + 3. Is n(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/(sqrt(24)\/sqrt(8)) - ((sqrt(11)*-2 - sqrt(11))*4 + sqrt(11))) + (-4 + sqrt(11) + sqrt(176) + -5)*5)**2.\nAnswer: -3330*sqrt(11) + 17084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (2 - 14 - (-3 + 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 178+64\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*14*3\/(-6)*(-256)\/(-224)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 1624\/(-22) - (-2)\/11. Let y(o) = 41 - 35 + 8*o - b. What is the units digit of y(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Let x = 2 - n. What is the second derivative of -2*d**4 + d + 3*d - x*d wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 14. Suppose -2*o + 2 = -4. Suppose -8 = s - o*s. What is the nearest to x in 5, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/11))**(-5\/4)*(h\/h**(-1)*h)**26)**(1\/23) assuming h is positive.\nAnswer: h**(3367\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 14. Let f = 0.226 + 109.774. Let c = f + -106. Put -2\/9, t, c in ascending order.\nAnswer: t, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y + 4 = -37*y. Let o(l) = 6*l**2 + 20*l + 3*l**2 + y*l. Let p(u) = -14*u**2 - 33*u. Calculate 8*o(a) + 5*p(a).\nAnswer: 2*a**2 + 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140883258 and 840258?\nAnswer: 422649774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169\/3 + 56. Calculate the common denominator of v and (32\/672)\/(20\/182).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000494 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/11900 and -157\/261660?\nAnswer: 22241100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*s**2*y**3 - 34*s**2*y**2 - 4*s**2 - 2*s*y**3 + 2 wrt y?\nAnswer: -570*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8793 + 30494. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - g - g**3 + 11*g**2 + 2*g to the form k*g + a*g**2 + b*g**3 + c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/3168 and 47\/1584.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 81207603 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -240, -440, -716, -1068?\n\"Answer: -38*s**2 - 86*s - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -43043, -43085, -43139, -43199, -43259, -43313, -43355, -43379?\n\"Answer: q**3 - 12*q**2 - 13*q - 43019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-20) + 88\/110.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/3 and 119\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-2))\/((-3)\/138). Suppose 5*s - v = 4*n + 517, -5*n = 5. Suppose -3*j - s = -2*g, -4*j + 15 - 3 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z + 10. Let l(s) = -1 + 1 - 6*s**2 - 5*s**z. Let w(t) = 2*t. Calculate w(l(b)).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2 - 0. Let d(m) = m + 24. Let y be d(-21). Sort y, 5, q.\nAnswer: q, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/11)*g*g*g**8*g)**(-16)\/((g**(-2\/7)\/(g*g\/g**5))\/(g*(((g**(2\/5)\/g)\/g)\/g)\/g)**44) assuming g is positive.\nAnswer: g**(-117889\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -21000412?\nAnswer: 21000414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2. Let x(n) = 45*n - 15*n + 1 + 67*n - 3 + 9*n. Calculate x(l(d)).\nAnswer: 212*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k + 0*k**3 - k**3 - 5 - 8*k**3 + 24.\nAnswer: -9*k**3 + 16*k + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 12:32 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107409 = 27*a + 50541. Round a to the nearest 100.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 12.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 144 = -3*a. Let f be 2705\/40 + (-9)\/a. What is the greatest common divisor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 16 = -5*m. Let x be (-96)\/(-21) - m\/((-28)\/6). Solve -4*u - 7 - x = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2. Let j(v) = 16*v - 10. Let d(k) = -5*k + 3. Let c(n) = -10*d(n) - 3*j(n). Determine c(t(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 - 4 + 4 + (0*m + 0*m - 3*m**3)*(0 + 1 + 1)*(-2*m - 4*m + 2*m).\nAnswer: 23*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 15. Let q = b + -19. Let s = q + 49. Calculate the highest common divisor of 29 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24666 (base 7) to base 14\nAnswer: -2536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-1 + 1 + 0). Let p = 0 - m. Suppose p = y + 4*q + 10, -5*y = -3*q - 8 - 11. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 216606531*r**3 - 55289423*r + 2.\nAnswer: 1299639186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2051, -4434, -6817, -9200?\nAnswer: -11583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(180)*2)\/(sqrt(54)\/(sqrt(6) - -2*sqrt(6))) - (0 + (-5 + -2*sqrt(245) + -4)**2).\nAnswer: -1061 - 204*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 + (23 - 67) + 61.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*g**4 + g**3 - 61*g wrt g?\nAnswer: -492*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 21, 55, 113, 201, 325, 491?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1497.\nAnswer: 4\/1497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(((-120)\/10)\/(-48))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-20))\/((-33)\/22).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = v - 41*n + 39*n, v - 15 = 4*n. What is the greatest common factor of 12199 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 12*n - 6. Let r be a(-9). Let z = r - 13. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/32)\/((-2)\/52). Find the first derivative of -5 - m + r - 7 + r wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/(-8))\/(6\/16). Let y = 6 + h. What is the common denominator of -81\/22 and (-394)\/(-72) + y\/(-16)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 25 = 5*l, 4*l - d + 3*d + 12 = 0. Let j = 36 + -31. Which is the nearest to l? (a) -5 (b) j (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v - 2*v - 5*v)*(2 + 0 + 0) + 5*v + 0*v - v)*(-2 - 2 + 3).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/17 (b) 0 (c) 1\/162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i + 2. Let v be q(0). Suppose -v - 5*g + 2 + 0 - 5*g**2 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -33*b**2 - 18. Let m(j) = 32*j**2 + 12. Let o(f) = -3*m(f) - 2*u(f). Let d(s) = -6*s**2. Give d(o(w)).\nAnswer: -5400*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -263159082*y**4 - 885*y**2 - 22081*y wrt y.\nAnswer: -6315817968*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - d. Let m = -4 - -6. Suppose 0*z + m = -z. Let t be 2 - 3*z\/(-6). Give o(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 0*b**4 + 0 + 0*b + 6*b**2 + 1\/135*b**5 - 2\/27*b**3. Factor i(j).\nAnswer: 4*(j - 1)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148\/1045 - -2\/55. Which is the third smallest value? (a) 2 (b) n (c) -1\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27853 greater than 9.42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 1)*(2 - -2). Suppose 0 = -2*b - k + 12. Suppose b*g - 3*f - 17 = 0, 5*g + 2*f + 4 - 18 = 0. Put -1, g, 3, 0 in descending order.\nAnswer: g, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -19. Let l = 13 + -9. Suppose o*f + l*g = 75, -g - 20 - 40 = -4*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p - 3*p)*((1 - 2 - 2)*(-4 - 2 + 5) + 1 + 0 + 0) - 26*p - 7*p + 11 - 2.\nAnswer: -37*p + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -712 (base 15) in base 8?\nAnswer: -3070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-154)\/(-5)))\/(289350\/(-21219)).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362168 (base 11) in base 15?\nAnswer: b5071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -7*z - 28 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1956*t**2 - 1711 wrt t?\nAnswer: 3912*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 14 = -4. Let c(l) = y*l**2 - 5*l + 8*l - 3*l. Let z(j) = 0*j - 4*j - 7*j. Calculate c(z(f)).\nAnswer: 363*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s + 19*s - 13*s + 27*s.\nAnswer: 53*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.1. Which is the biggest value? (a) -2\/3 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1033)\/(-3)*(-6)\/4. Let p = v + 537. Let q = -23 + p. What is the second smallest value in -2\/11, q, 3\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6313773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 477 + -459.2. Which is the second smallest value? (a) -5 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 225 divided by -1\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1074, 1087, 1100, 1113, 1126, 1139?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108.2 + 120.2. Which is the biggest value? (a) -3\/5 (b) -3 (c) -0.12 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c7b5 - 2?\nAnswer: -1c7b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*o + 120, 3*o + 53 = 4*y - 188. Suppose 0*m - m = y. Let a be m\/(-7) + 6\/21. What is the greatest common divisor of 27 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpddwxxdxwdw. What is prob of sequence dd?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 9*m**2 + 5*m - 13. Is 32 a factor of h(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1)\/(k*k*k\/((k\/k**(-2))\/k*k)*k)*(k**1*k)\/k*k**(2\/5) assuming k is positive.\nAnswer: k**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 76. Let c be y\/(-48)*3*4. Let n(o) = -o**3 - 11*o**2 - o + 16. What is the units digit of n(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -7 in decreasing order.\nAnswer: 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*((sqrt(2448) - sqrt(2448)*-2) + 4 - sqrt(2448)) - (2*(sqrt(2448) + (sqrt(2448) - (0 + sqrt(2448)))**2 + sqrt(2448)) - sqrt(2448)*-4*-1).\nAnswer: 23 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2232647 + 9611376.\nAnswer: 7378729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 + 15*c**2 + 22*c**2. Let y be -2*((-1)\/3 - 35\/(-42)). What is the tens digit of s(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1649\/(-388) - 1\/((-2)\/8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 4, 3, -706 in ascending order.\nAnswer: -706, -3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**5\/60 + 2*y**4\/3 - 5*y**3\/6 + 10*y**2. Let n be l(16). Let g(z) = -9*z**3 + 3*z**2 + z - 2. Is g(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 19*d**4\/24 - d**2. What is the remainder when f(1) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258939.581915 - -0.1?\nAnswer: -258939.481915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + s - 9 = -5*g, -3*g + 3*s = -9. Find the first derivative of 0 - 4*d**4 + 0*d**g - 1 wrt d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0708 (b) -0.044 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvvoynydddr. What is prob of picking 1 r and 1 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) -4 (c) -10.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2\/25 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47.91917 years?\nAnswer: 575.03004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 26 + 21 + -3 - 19?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:03 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 0.1 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k - 22*k + 728 = 7*k. Let s(y) = y - 4. Suppose -h - 1 = -5. Let r be s(h). Solve -2*m + r*x - 2*x = k, 3*m + 9 = 3*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3 + 60*d**2 - 279*d + 378 = 0 for d.\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 - 2 = 118*t. Let l(d) = -3*d - 8. Let a(k) = 7*k + 17. Determine t*a(x) - 10*l(x).\nAnswer: 2*x + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -a - 0*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:16 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 13*x + 236. Let q be p(-18). Suppose -9831 = q*o - 31*o. What are the prime factors of o?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 8*n - 6. Let y be w(-9). Suppose y*z - 25 = -10. Suppose 0 = t + z*g - 1, -3*g + 55 = 6*t - 2*t. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 638497 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 651, 1712, 3259, 5286, 7787?\nAnswer: 10756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 5*w + 0*w)*(-1 + 146*w**2 - 145*w**2 - 6) + 5*w**3 - 2*w**3 - w**3 as l + n*w**2 + a*w + h*w**3 and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002672743 rounded to 6 dps?\nAnswer: -0.002673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 7:42 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - ((-4*sqrt(1053) + sqrt(1053))*5 - sqrt(1053)))*2 - (sqrt(1053) + 0 + 1 - (sqrt(1053) - -1*sqrt(1053)*4 - sqrt(1053))))**2.\nAnswer: -666*sqrt(13) + 1441558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (17760\/(-6919))\/16*231\/(-63)\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2928 and 0.3.\nAnswer: -0.38784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 42826?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = -0 + 24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 1, -5, 3, -12, 20 in ascending order.\nAnswer: -53, -12, -5, 1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 530617 (base 9) in base 13?\nAnswer: b075b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 27, 66, 131, 228, 363?\n\"Answer: t**3 + 4*t**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1008) + 3*(-1 + sqrt(1008)) + sqrt(1008)*-1*4)**2 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1129, -1531, -1927, -2317, -2701, -3079, -3451?\n\"Answer: 3*k**2 - 411*k - 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 2 - 2 - s**3 + 3*s**3 - 3*s**3 + (3*s**2 - s**2 + 0*s**2)*(-1 + 1 + s) + 8*s**2 + 12*s**3 - 8*s**2.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**46\/x)*x)\/(x*(x*(x*x*x\/x**(3\/2))\/x*x)\/x))**14 assuming x is positive.\nAnswer: x**(-637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14183 - 463785?\nAnswer: -449602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r + 396. Let u be v(40). Let q(g) = 5*g**2 - 2*g - 7. Let c(b) = -6*b**2 + 3*b + 8. Calculate u*q(o) - 3*c(o).\nAnswer: -2*o**2 - o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 3:47 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -6 + (3 - 46)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 3938 + 20868. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-66)*34\/85?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -43546830 divided by -8709366?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 take away 197851426?\nAnswer: -197851582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 161\/60*s**6 - 67\/15*s**5 + 0 - 49\/24*s**8 - 8\/3*s**3 + 3*s**2 + 0*s + 56\/15*s**7 - 17\/3*s**4. Factor l(b).\nAnswer: -2*(b - 1)**2*(7*b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 336 - 322 = -4*j, -6*q = -3*j - 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26403 - 26400. Sort 0, q, -18, 4, 12 in descending order.\nAnswer: 12, 4, q, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28745858 or 28745857?\nAnswer: 28745857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - -0.073. Let o = q - 0.114. What is o rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21872663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**3 + 0*x**2 + 7*x**3 + 0*x**2.\nAnswer: 22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (6 + -2 + -16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 4*v**2 + 2*v + 12. Let d be w(-4). Suppose d*x + 3*x - 2*x = 0. Is 30 a factor of -120*(x - 2\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 213?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 9*u - 9*u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 15390?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + 5. Suppose 0*p = 4*p + 2*a - 116, 3*p = a + 77. Suppose 3*g = p - 0. What is the remainder when u is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + b**2 - b + 1. Let a be u(1). Suppose -5*i - 26 = 2*d, -a*d - 3*d - 27 = 3*i. Let n = -1 + 2. Sort n, i, 4, -5.\nAnswer: -5, i, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -21835.\nAnswer: -51\/21835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 - 2 - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43154.27 millimeters?\nAnswer: 4315.427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 1. Let g = 9 - f. Let t = -117\/7 + 17. What is the second smallest value in t, g, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -400 and -400 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8864.1483 - 9259.131. Let i = 0.0718 + 394.9282. Let j = i + m. What is j rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 4*z**2 + z - 21. What is f(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -30*y + 9. Calculate z(-3).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - 0) + (-167 + 89 - -59).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzz. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*3\/3*(-13295)\/226015\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*k**2 + 2 + 358*k**2 - 122*k**2 - 98*k**2.\nAnswer: 31*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 - 630 - 28\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 9*s + 20*s + 10 = 0, 3*s = -2*z + 4*s + s - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 5*f - 9. Let s be x(-8). Suppose 0 = -v - 2*v + 4*n + s, 0 = 3*v + 2*n + 3. Let j = -331\/63 - -55\/9. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14976\/32*4\/(-3). Let j = 640 + q. Calculate the lowest common multiple of 816 and j.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwwwwwtw?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*t - 118, 5*f - 2*t - 138 - 64 = 0. Is 237*(-7)\/(f\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6646, 6635, 6624, 6613, 6602?\n\"Answer: -11*m + 6657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0*u - 3*u - 2*u - 1. Let h be z(-1). Calculate the greatest common divisor of 32 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -34*r - 3220. Let l be v(-95). Solve t - 25 = -4*y, t - l = 66*y - 67*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 568*w = -5831 + 1845, -4*w + 26 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 19. Let f be g(-5). Let m be (115 + f)\/(2\/96036) + 2. Round m to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -552 (b) 5 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33, 111, 233, 393, 585?\n\"Answer: -o**3 + 28*o**2 + o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -11. Let c = 6.5 - r. Let g = 511 + -511. Sort -2, g, c, 1 in ascending order.\nAnswer: -2, g, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/198*-9*(-39)\/6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*((z*z\/(z*z\/(z\/(z**(-4)\/z)*z)*z*z))\/z)\/z)**(-3\/14) assuming z is positive.\nAnswer: z**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 2*x**2 - 6)*((0*x - 2*x + 3*x)*(4 - 4 - 2) - 2*x + 3*x - 6*x) as a + m*x**3 + u*x + p*x**2 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - 10.2. Let f = h + 9. Which is the second biggest value? (a) -1 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(637) + -1)**2*-4 + 3.\nAnswer: -15501 + 1008*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 4*q + 651 = 0. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 17*i**2 + 24*i - 37. List the prime factors of v(16).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 12*y - 32. Let r be u(-4). What is the highest common factor of 6 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5985586480 to the nearest integer?\nAnswer: 77367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91961230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 3. Let q = -6336 + 6324. Let g(r) = -r - 1. Determine q*g(d) + 4*f(d).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/792*1320\/(-825).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 0*n**5 - 25 + 0*n**6 + 0*n**4 + 0*n + 0*n**2 + 2*n**7 + 17\/3*n**3. What is the third derivative of s(z) wrt z?\nAnswer: 1680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-2))\/((-28)\/(-2) + -56 + 63). What is the closest to 0.05 in -1, l, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -3, 4\/103, 2, 0.3, 23, 5 in increasing order.\nAnswer: -3, 4\/103, 2\/7, 0.3, 2, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2155243559.\nAnswer: 7, 1511, 203767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -190, -200, -216, -238, -266, -300, -340?\n\"Answer: -3*z**2 - z - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3 = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1061, -3, 11147 in decreasing order.\nAnswer: 11147, 1061, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3 - 685*k**2 + 72019*k + 72705 = 0.\nAnswer: -1, 131, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2790 by 1.\nAnswer: 2790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14220 + 43*s**3 + 0*s + 14220 - 6*s + 7*s.\nAnswer: 43*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -14*m**2 - 23*m - 4. Let g(j) = 9*j**2 + 15*j + 3. Let z(n) = 8*g(n) + 5*w(n). Suppose 3*a = -4*h - 22, -2*h + 4*a + 4 = -h. Give z(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 15 = -11*t, 12*l - 5 = -4*t + 11*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 1:42 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 64567864, 64567866, 64567868?\n\"Answer: 2*w + 64567862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 708420 divided by 177105?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*c - 3*c - 262, -4*g = 3*c - 787. What is the highest common divisor of c and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17334*r**2*u**2*y**3 + 6*r**2*u + 107*r*u**2*y - 2*y**2 - 11*y wrt y.\nAnswer: -104004*r**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76798 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*2*sqrt(117))\/(sqrt(81) - (-2*sqrt(81) + sqrt(81))).\nAnswer: -2*sqrt(13)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12185 smaller than 12185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - (5 - 7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 3, 201767 in ascending order.\nAnswer: 3, 27, 201767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 888 and 1110?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5284 - 7995. Let u = d + 3994. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 9*c**2 - 25*c - 10. Does 7 divide m(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-3)*2865\/49660.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1101\/12)\/2 - 45\/(-1200)*10?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by (4 - (6 - 3))\/((-15)\/(-480))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -381610.\nAnswer: -3\/381610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/50049 and -85\/410352?\nAnswer: 82480752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22502, -45299, -68036, -90683, -113210, -135587, -157784, -179771?\nAnswer: -201518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -41. List the prime factors of ((-216)\/k)\/((-2)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 474*w + 5846. Determine x(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -374*(-3)\/6 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5481098 = 5481098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*a**2 + 2 - 13729*a + 13729*a + 0 as y + q*a + n*a**2 and give n.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/10*(-245)\/588*(-54)\/(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.62 rounded to one dp?\nAnswer: 22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5101, 0.07, -5.\nAnswer: -5, 0.07, 6, 5101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -299, 4, -1, 1, -76, 2, -10 in ascending order.\nAnswer: -299, -76, -10, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2 + 2*b - 13 - 4*b. Let q be u(-7). Suppose s - 13 = -q*j + 13, -5*j = -2*s + 85. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2460 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 19*h - 6. Let m(s) = 54*s - 21. Calculate -4*m(q) + 11*v(q).\nAnswer: -7*q + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n - 2*n - 2 - 2*n - n**2 + 2*n - 3*n. Calculate d(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1552 = 5*u + 317. Suppose 3*q - u = i, q - 4*i = -7*i + 99. Is 13 a factor of q\/2 - (3 + -1 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 6*w**2 + 2*w - 2. Let j be o(-2). Suppose j + 4 = c. Let p = c - 11. What is the remainder when 5 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*f - 2*z - z, 2*z = 3*f + 43. Let k be (-20)\/f + (-12)\/(-66). Find the third derivative of -9*n**2 + 3*n**2 + 4*n**k - 5*n**3 wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*k + 5776 = 73*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1042384 and 940688.\nAnswer: 38568208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 2 + -4 - (2 - 128470) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-14))\/((-21)\/(-42))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166 + -160. Which is the nearest to 1? (a) 4 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + h**2 + h + 2. Let r be z(0). Let c(j) = -j**3 - 3*j**2 + 3*j - 1. Let q be c(-4). Solve 14 = -r*w - 2*g, 8*g - 3*g = -q*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7706688?\nAnswer: 2, 3, 11, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 = 5*k + 2*n - 1614, 5 = -5*n. Calculate the highest common divisor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.07 from -97419879.\nAnswer: -97419878.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 6 + 2)*(4541*l - 717*l + 2141*l) as a + c*l and give c.\nAnswer: -29825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45 + 1172d?\nAnswer: 11772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l + 31*l - 85*l - 33*l.\nAnswer: -102*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 13, 19, 11, -17, -71, -157, -281?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1961 - 1210. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(2*l + 1 - 1) + 2*l - 10*l + 2 + 3*l + (-2 + 2 + 2*l)*(-4 + 2 + 3) + l - l + l.\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 43*g - 4. Let z be h(-22). Let a = z - -1706. Suppose 12*w - 72 - a = 0. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1945?\nAnswer: 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 10. Let n = -55 - g. What is the hundreds digit of -290*(-2 + 9\/n) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -13. Suppose c*w = 63165 + 27139. Suppose -70976 = -4*a - w. Round a to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n + 25. Which is the third smallest value? (a) -3\/7 (b) -68 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 divided by 4?\nAnswer: 173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1191 equal to -1191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 102700000837736 and -0.5.\nAnswer: 102700000837735.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 2*r - 2. Let q be v(4). Let z = 42 + -10. Let x be (z\/12)\/(1\/q). Solve -x = 5*i - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**4\/10 + 3008*t**3\/5 + 6786048*t**2\/5 + 6804144128*t\/5 - 4692. Find s, given that u(s) = 0.\nAnswer: -1504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 12 = -2*f, -753*g + 748*g = -4*f + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:33 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from ywzhzzvzgyzhw.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -529, 3\/4, -1\/6 in descending order.\nAnswer: 3\/4, -1\/6, -529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28998143 divided by 6.\nAnswer: -28998143\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + 8. Let w = u - 15. Which is smaller: w or 8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.4842931 to 4 decimal places.\nAnswer: 5.4843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 37. Suppose 7*y = 10*y + 54. Let h be x(y). Suppose -3*m = -7*m + 16. Solve -2*b = 3*k + h - 24, -2*b = m*k - 28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44485567.\nAnswer: 7, 6355081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, y: 6}. What is prob of sequence yyyy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.7967224 to two decimal places.\nAnswer: -57.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -40 - 145 + 3*b + 2*b + 38 - b**3 + 32*b**2. Let c be x(32). Let q = -1 + 1. Solve q = 3*f - 2*g + c, 0 = -g - 4*g + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5517 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -7. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -14. Let o be (0 + 1)\/(1\/j). Let h = o + 5. Solve 5*a + 32 = -4*r + r, h*a - 4 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/(n\/(n\/(n\/n**(-4\/15)))))**(-10) assuming n is positive.\nAnswer: n**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.428039 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llnnnnnnnlnlnnnpz. Give prob of sequence nl.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/135? (a) -1\/3 (b) -1030 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 11:01 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6)*1\/2. Let y = -20.2 + 17.2. Let c be 2\/(-8) + 13\/20. What is the biggest value in y, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*u - 14*u + 350 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.193 + -48.193. Sort m, -1\/2, -4 in decreasing order.\nAnswer: -1\/2, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.003 times 3399324\nAnswer: -10197.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 5*u + 3*u)*((13*u - 3*u - 3*u)*(-2 + 3 + 1)*(3 + 2 - 6) - u - u + 3*u) to z + l*u**2 + n*u and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1.88. Let b = 8 + -7.92. Let g = b - p. Which is greater: -0.4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191 = 26*y - 425 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**4 + 10*y**3 - 3*y**2. Let f(m) = 161*m**3 - 65*m**2 + 95*m**3 - 36*m**3 - 110*m**4. Let a(o) = 2*f(o) - 45*s(o). Find n such that a(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16255 is divided by 326?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 15*r**2 - 6*r + 2. Suppose -185*i - 78*i = 38*i - 301. What is q(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-6\/7))*h**2)\/(h**1)**4)**(-14) assuming h is positive.\nAnswer: h**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320751, -320824, -320951, -321138, -321391, -321716?\nAnswer: -322119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/3 - 125282*w\/3 + 125288 = 0. Calculate w.\nAnswer: -62644, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l + 9. Let k(w) = 7*w + 8. Suppose -131 = 17*q - 12. Determine q*k(j) + 6*g(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00191819769 to 6 dps.\nAnswer: 0.001918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*26\/39*6\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*n**2*q**3 + 125*n**2*q**2 - 4*n**2*q + 2*n**2 - 70*n*q + q**3 + q wrt q?\nAnswer: -168*n**2*q + 250*n**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000069380358 to 7 decimal places.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (8 - 6 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 10*u - 36. Let v(t) = 2*t - 9. Let l be v(u). Factor l - 2*x + 1\/3*x**2.\nAnswer: (x - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 31?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 20 + 10. Calculate the remainder when 22 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 25, 41, 61, 85, 113?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + -2 + 54 + 8 + -7.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48 + 48 + 13*p**5 - 5*p**5 + p**5 + 6*p**5 - 5*p**5 + 3*p**5 + 0*p**5 + (-p**2 - 2*p + 2*p)*(p**3 + 3*p**3 - 3*p**3) - 4*p**5 + 2*p**5 + p**5.\nAnswer: 11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**3 + 221675*r**2 - 246983440*r + 69685170880 = 0 for r.\nAnswer: 568, 43199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z*(z\/(z\/(z**(1\/7)*z)))\/z)\/(z**(-2\/31)*z**22) assuming z is positive.\nAnswer: z**(-3427\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 314 + 1379. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/(176\/(-110)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 5. Determine j(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 - 10*d**2 - 46*d - 120. Let k be j(-4). What is the highest common divisor of 2480 and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z + 36. Let v be b(6). Let w(f) = f**3 - 12*f**2 + 14*f + 26. What are the prime factors of w(v)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 4*l + 5. Let c be t(6). What is the units digit of c - (12\/(-4))\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 218582 and 1820.\nAnswer: 2185820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 8*k**2 - 9*k**3 + 9*k**3 - 7*k**3 - 3 + 6*k + 9*k**3. Let n be j(-7). Let x be 2\/(1 + 1)*-5. Sort n, -3, x, -4 in descending order.\nAnswer: n, -3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 9392.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31819759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1545 = 5*d - 2*d. Suppose -3*p + 103 = a, -5*a + 4*p = -p - d. What are the prime factors of a?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6448 + 2*p - 6473 - 10*p - 9*p - 2*p as y*p + j and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9 + 3*b + 0*b - b. Suppose 632*z - 4*j = 631*z + 67, 5*j + 48 = -2*z. Give x(z).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4726553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -11*d - 22. Let v(b) = 29*b**2 - 2*b - 2. Calculate v(k(t)).\nAnswer: 3509*t**2 + 14058*t + 14078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17062.113 months in millennia?\nAnswer: 1.42184275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and 0.744463?\nAnswer: -0.6700167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, w: 3}. What is prob of picking 1 q and 1 w?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5 + 2528*c**4 + 114748*c**3 + 1536944*c**2 + 3998896*c - 5653120 = 0 for c.\nAnswer: -584, -22, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584570664.\nAnswer: 2, 3, 8119037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -v - 12, -5*v - 10 = 6*s - s. Let x be (-1 - s) + 14 + -11. Solve -2*q - 1 = x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510715 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 10:06 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9\/(-3))\/3 - (8 - 692)?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - z**2 + z + 2. Let k be n(0). Let f(a) = -a**2 + 2*a. Give f(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -0.0302?\nAnswer: -0.9698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 21549, 142 in decreasing order.\nAnswer: 21549, 142, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {o: 4, z: 10, n: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1722 - -1936.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 + 10*m - 13. Let z be p(-8). Let d = -889\/9 + z. Factor -4\/9 + d*c**2 - 2\/9*c.\nAnswer: 2*(c - 2)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115165 by 23033.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 754802 and 11122?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0064384393 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-6)*a*a**(-5)*a)\/(a**1*a)**(-7\/3) assuming a is positive.\nAnswer: a**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2817384, 5634770, 8452156, 11269542?\n\"Answer: 2817386*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-28) - (-82 - 7947606\/(-95410)).\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 76?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*l - 5*t + 1, -4*l - 5*t = 9. Let g be (-14)\/(-4) - l\/2. Solve -3*f + g + 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 147*y**2 + 139*y**2 + 0*y - 964*y**2 + 97*y**2.\nAnswer: -581*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 37 - 5*v + 39 - 6*v - 93. Let t(y) = -3*y - 6 + 2*y - 3*y. Calculate -6*p(f) + 17*t(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b. Let m(g) = -85*g**2 + 1. Determine w(m(q)).\nAnswer: -595*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -47)\/(0 + -2) + 3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 10*m**2 - m - 10. Let w be d(-10). Solve 5*g + v = -0*g - 24, -4*g - 3*v - 28 = w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 0)*(-17*x**4 + 6*x**4 - 2*x**4) - 7*x**4 + 61*x**2 - 61*x**2.\nAnswer: 58*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-4)*(-42)\/(-98))\/(12\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from jlslljlglgglgjli?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6648*i + 282 - 870 + 288 + 3804*i + 301 to the form p*i + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4))**(1\/5)*(a**(-4)\/a)\/a**(-1\/6) assuming a is positive.\nAnswer: a**(-293\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*-26*32\/(-1040)*27\/1\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -65, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 986351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 - 1402*b + 5194. What is c(-471)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9*d - 67. Let i be o(-7). Let x be (-234)\/12 + (-6)\/i - 4. Is 22 a factor of (-2 - (1 - -5))*x\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**5 - 4*d**5 - 644*d**2 + 662*d**2 + 72*d**3 + d**4 - 3*d**4 = 0.\nAnswer: -3, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1616489561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v - 24 = 0. Let j(f) = 2 - 4 + 2 - v + 3*f. Let a be j(6). Solve 0 = 5*t - 5*m - 10, -a = -3*t + 5*m - m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 441646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 670\/201 + 824\/(-24).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 13*w - 15*w + 10*w - 19*w.\nAnswer: -41*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**2 - 8*l**2 + 99*l**2.\nAnswer: 107*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.9, 3 in decreasing order.\nAnswer: 3, 1.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219562.\nAnswer: 2, 7, 15683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from xgxxgxxg.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*j - 4032 = f, -j - 1344 = f. Let t = 2329 + f. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -72*k**4 + 100*k**3 + 350*k**2 - 478*k - 118. Let l(c) = -8*c**4 + 11*c**3 + 39*c**2 - 53*c - 13. Let w(d) = 52*l(d) - 6*t(d). Factor w(r).\nAnswer: 4*(r - 2)**2*(r + 2)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*w = 2, -w = 3*w - 8. Let g(p) be the first derivative of 9\/10*p**4 + 14\/25*p**5 - 2\/3*p**3 - 4\/5*p - 1 - 9\/5*p**t. Determine y so that g(y) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-549 + 424 + 753)*(-6*i + 10*i + 10*i).\nAnswer: 8792*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n - 3. Let h(j) = 5*j - 4. Let l(z) = -5*h(z) + 6*m(z). Let v(s) = s. Calculate -l(a) + 6*v(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5741369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, -1\/3, -1, -4, -15\/8, -20?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -17, 5, -23 in descending order.\nAnswer: 5, -9, -17, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 866109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 282 - 279. Let n be 5 + ((-4)\/(-3) - (-48)\/(-36)). Solve 0 = -4*f + 4*o - 1 - l, n*o = 3*f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1190*o**2 - 6958*o + 48. Calculate a(-6).\nAnswer: -1044","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*w - 15, 28*u = 32*u - w - 3. Factor 0 - 8\/7*g**2 + 2\/7*g**3 + u*g.\nAnswer: 2*g**2*(g - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3425750 and 13510?\nAnswer: 23980250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c. Let u(v) = -50*v**2 - 6*v - 6. Let d(f) = 2*f**2 + f + 1. Let n(w) = 6*d(w) + u(w). Calculate o(n(b)).\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-4 + (sqrt(2448) - (sqrt(2448) - (sqrt(2448) + sqrt(2448) + sqrt(2448) + 1))) - sqrt(2448)) + 3 + 0 + sqrt(2448) + 5))**2 + 4.\nAnswer: 9000*sqrt(17) + 551429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-49)*14\/(-15).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2777, 2697, 2617?\n\"Answer: -80*x + 2857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - d - 23 = 0, -d - 3 = 2*h + 2*d. Suppose 0 = -8*f + h*f + 1228. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1946670 and 91\/123420?\nAnswer: 42826740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 6:08 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**6 - 269*g**4 - g**2 - 658*g wrt g?\nAnswer: -480*g**3 - 6456*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 12:13 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 795799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.37346478 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3255 + -352434?\nAnswer: -400133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.9519 hours to seconds.\nAnswer: 291426.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.24885072508 - 5?\nAnswer: 6.24885072508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/1608 and 79\/2680.\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3140, -3, -25.\nAnswer: -25, -5, -3, 3140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/36 - -40*20\/(-450).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -990b + 1?\nAnswer: -990a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -51*u + 387. Let a be z(7). Solve -5*i = -2*v - a, 3*v + 7 = 2*i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Suppose 4*t = -4*k + 14721693 - 3921697, -3*t + 8100002 = -m*k. Round t to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 2*q - 2. Suppose 0 = 3*i, k - 2*i + 1 = 3. Let t(z) = -z**2 + 3*z + 3. Let g(h) = k*t(h) + 3*s(h). Let n(m) = -2*m**2. Determine n(g(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t + 27. Let j be d(4). Suppose -j*u + 4 = -5. Suppose -u*a - 8 = 2*z, -4*z = z - 2*a - 18. Solve 4*x - 2 = z*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpc when three letters picked without replacement from {p: 3, c: 4, k: 6, m: 3, r: 4}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.326 - 1.026. Let q = 2.7 - 2. Let u = -4.3 - q. Which is the second biggest value? (a) u (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43041 by -3489.\nAnswer: 14347\/1163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5)*p)**19\/(p**1)**42)**(-31) assuming p is positive.\nAnswer: p**(2387\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82111.\nAnswer: 157, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.89111597 less than 1?\nAnswer: -4.89111597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 4 - i + 2*i.\nAnswer: 4*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**2 + 8*o + 1. Let a be 640\/112 + 4\/14. Does 20 divide b(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k - 4*k + 2*k. Let n be y(4). Let l(x) = 3*x**3 - x. Let q be l(1). Solve 0*a - 14 = -3*a - 4*t, 16 = q*a + n*t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2601, 6308, 11125, 17052, 24089, 32236?\n\"Answer: 555*f**2 + 2042*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 128392 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = 0, -8 + 0 = 4*d - 2*j. Sort d, 2, -4.\nAnswer: -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + s = -1, 2*y + 0*y = 2*s + 14. Let a = 2 + y. Let b = -13 + 17. What is the smallest common multiple of a and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25882?\nAnswer: 2, 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4999 + 17.8145698.\nAnswer: -4981.1854302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o*o\/((o\/(o\/o**(-3\/10))*o)\/o*o))\/o)\/o)\/(o\/o**(-4)))\/(o**(-13)\/(((o*o*o\/o**9)\/o*o*o)\/o)) assuming o is positive.\nAnswer: o**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f. Let y(r) = -2*r - 14. Determine n(y(d)).\nAnswer: 4*d + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 - 0.13. Let p = -19.5 + 19. Let d = q - p. Which is smaller: d or 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47612 and 11896?\nAnswer: 141598088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000546 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 2:06 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 0*f**2 + 0*f**2)*(3 - 3 + 5*f) + (0*f**2 + f**2 - 3*f**2)*(-2*f - 1 + 1)*(3 - 4 + 12).\nAnswer: 49*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 5:43 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -288*(-69)\/874 + -22\nAnswer: -24\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -4 - (5 + 1) - 5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 13. Let k(z) = z**2 + 0*z**2 - 9 + 6*z - z. List the prime factors of k(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-5)\/3 + 2). Let k be (-12)\/(-90) + (-56)\/(-30). Let c(b) = 3 - 1 + b + 3*b - b**k - 4. What is c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13 = -2*g + 30, 2*r = 4*g - 58. What is the highest common divisor of 12 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*o**4 - 33*o**3 + 14*o**4 - o**4 - 7*o**4 + 2*o as f + l*o + s*o**4 + a*o**2 + g*o**3 and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**4\/12 + j**3\/3 + j**2. Suppose -7 = i - 3. Let x be y(i). Calculate the highest common divisor of 30 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2*n)*(2*n + 2 - 2) - 1 - n**2 + 1)*(-6 + 4 - 2)*(-21 - 49 - 7)*(0 + 3 + 2).\nAnswer: 4620*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/2)\/a**(2\/59) assuming a is positive.\nAnswer: a**(-63\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j + 3. Let r be (-2 - (3 - (-16)\/(-4)))*-3. Suppose 4*p - 4*x = r*p - 5, -5*x = 2*p - 3. What is the units digit of i(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 8*o**2 - 7. Let h be u(8). Let j = 8 + h. Put 2, 5, j in descending order.\nAnswer: 5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 193. Let j be d(0). Let t = 18 - j. Let c be (-10)\/t*(-6 - -1). Are -1 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*p - 30, 4*c + p - 37 = -10. Let u(z) = 2*z + 4*z**2 - c*z + 4*z. Let m(l) = -l - 2*l + l. Give u(m(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 2131635.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - -5)\/(333\/(-555))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.86 (b) 48\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 3, -6.\nAnswer: -6, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 r when three letters picked without replacement from {r: 1, a: 4, b: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 1408*q = 1405*q + 118281, -3*g - q = -70975. Is g a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2 - 3) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5040)*1 + sqrt(5040) - sqrt(210)\/(sqrt(60)\/sqrt(10)))\/((sqrt(200)\/(sqrt(4) - (sqrt(4) + sqrt(20)\/sqrt(5))))\/(sqrt(40)\/sqrt(4)*5)).\nAnswer: -115*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114384 divided by 16.\nAnswer: 7149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1797600843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((504\/162)\/(-14)*15\/(-10))\/((-10)\/5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -490, -959, -1406, -1831, -2234, -2615, -2974?\nAnswer: -3311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 40. Suppose 6*f + m = 5. Suppose 8*q + 262 - 2558 = f. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73090 in 1\/4, -5, 4, -0.1, 15, -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -9) + 1 - -3. Suppose -t = -2*a + 35. Suppose -4*z - 24 = -5*h + 28, -h = -5*z - a. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 615886 divided by -2\nAnswer: -307943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 1056.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n + 680. Let w = n - -315. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Let a(i) = -9*i**2 - 7*i. Let j = 15 - 11. Suppose 2*p = j*p - 28. Let q(g) = -4*g**2 - 3*g. Let o(d) = p*q(d) - 6*a(d). Give o(n(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + -6*sqrt(18)*3)**2*3.\nAnswer: -1620*sqrt(2) + 17572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 + 2802*z - 13968. Calculate i(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*n**3 - 12*n**3 + 11*n**3)*(4*n - n**2 - 4*n) + (-4*n + 3*n - n)*(1 + 2*n**4 - 1).\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -33*o + 122 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -1\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(68)\/((sqrt(4) - sqrt(12)\/sqrt(3) - sqrt(4))*1) + -3 + (sqrt(17) - (0 + (sqrt(17) + -2)**2 + sqrt(17))).\nAnswer: -24 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9636.121nm to kilometers.\nAnswer: 0.000000009636121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 6:36 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/200*(-25)\/(-10))\/((-1)\/(-4))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -60*w + 57*w + 4, 27*w = -0*r - 2*r + 104 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 92, 346, 762, 1340, 2080, 2982, 4046?\n\"Answer: 81*n**2 + 11*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 0*b - 6. What are the prime factors of (138\/9)\/(b\/9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 0)*(0*y + y - 3*y) - y - 3*y + 3*y)*(6*y - 2*y - y) + (1 - 1 + 4)*(-3*y**2 - 4*y**2 + y**2) + (-4 + 3*y + 4)*(y - 5*y + y).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.60458705 + -1\nAnswer: -1.60458705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65907*h - 24 = -65911*h + 4*v, 0*h = -11*h + 4*v + 80 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 314*v - 30. What is the tens digit of p(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 218 + -122 - (-4 + 39)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 43*a**5\/5 + 2*a**3\/3 - 71*a + 4. What is the third derivative of n(i) wrt i?\nAnswer: 1032*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i + 0*i + 64*i to the form z + h*i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 446511 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*x**2)*(0*x + 3*x - 7*x).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {q: 1, a: 5, x: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 42785952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 320 - 6082\/19. Do 1 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9464376*j + 16836429 wrt j?\nAnswer: -9464376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -2*s. Let x(t) = -5*t**2 + 265*t + 2. Let j be x(53). Solve j*u + s*r = r + 17, 5*u + r = -15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11045, 16297, 21549, 26801?\n\"Answer: 5252*d + 5793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v - 54 - 51*v + 37*v.\nAnswer: 4*v - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -54334a (base 11) in base 16?\nAnswer: -d3f85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1473.6651 months?\nAnswer: 1.22805425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 59. Let l = i - 14. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7 + 8 - 26*a**3 - 34*a**3 - 4 wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 3*u**3 - 4*u**3 + 3*u**3 + (0*u + 0*u - u**2)*(8 - 8 + 3*u).\nAnswer: -7*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18414\/13068*(-80)\/(-310)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -25*p - 49. What is f(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*j + 15 - 4*j**3 + 18 - 33.\nAnswer: -4*j**3 - 314*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1371 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 195.09882 months?\nAnswer: 16.258235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 + 95. Which is greater: -4\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.7461 - -0.0539. Let b = -5.8 + x. What is the third biggest value in b, 2\/11, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 740476 or 740462?\nAnswer: 740462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (0 - (20 - 23)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/531 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12889*u*x - 2*u - 2*x**2 - 130912 wrt x?\nAnswer: -12889*u - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.477575 to 2 dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24863 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 42*-1705\nAnswer: -71610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/(21\/(-4)). Let i = -3\/7 + f. Let t be 11\/((-2805)\/(-30))*(-85)\/(-15). What is the closest to -21 in t, i, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 11.2. Let a = h + 0.2000075. What is a rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 46 - 3*j - 35 + 11*j - 3*j**2 + 2*j**2. Let x be u(9). Factor -4*g**x + 2*g - 1\/4.\nAnswer: -(4*g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 608 = -3*a, -x + 0*a = 4*a - 125. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 0.5 (b) 4 (c) 2\/17 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, -345528 in descending order.\nAnswer: 1, -8, -345528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(700)*-1 + -2 + (sqrt(700) - sqrt(700)*2)*-6 + (sqrt(700) - (sqrt(700) + -1*(sqrt(700) + 2) + sqrt(700))))**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 4. Let w(d) = -1. Give -2*v(b) + 10*w(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12141010 - -1421?\nAnswer: -12134034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -2*(-45)\/(-24))*-44 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 4) + (15 - 4) + (7 - 5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 2, 36, -45, -1, 5 in increasing order.\nAnswer: -45, -7, -1, 2, 3, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347395618?\nAnswer: 2, 3413, 50893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1335 divided by 8.\nAnswer: -1335\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20181, 26865, 6585, -54141, -168795, -350859, -613815?\nAnswer: -971145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 447193 - 447115. Let c be 54\/2 - 3\/3. Suppose j + 2*d = -4*j + 130, -5*d - c = -j. Calculate the highest common divisor of j and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310810399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -0.37, -3.\nAnswer: -51, -3, -0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220 by -5.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138 + 137.9695. Round s to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16463634 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 48 + 42 = 0. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 410 and 67855?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k - 211 + 23 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4) + -4 + (-3175)\/20. What is the smallest common multiple of i\/(-24)*(-192)\/(-18) and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 9 + 0)*(9*l**2 + 23*l**2 + 4 - 11*l**2 - l + (2*l + 2 - 2)*(l + 2*l - 2*l)) as b*l + n*l**2 + r and give r.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29757614?\nAnswer: 2, 14878807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 2*k + k + 5*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45033*d - 44273*d + 89467*d.\nAnswer: 161*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + z + 1. Let o(i) = -2*i**2 + 2*i. Let t(r) = -2*o(r) + 3*x(r). What is the smallest common multiple of (-2)\/(1 + (-6)\/2) and t(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.9 - 0.9. Let i be (6 - 6\/2) + (-6 - -10). Suppose -3*g + 5*d + 25 = 0, -g = -5*d + i*d + 10. What is the second smallest value in -1, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4547871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/1621279 and 61\/27119576.\nAnswer: 298315336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/35 + (-100)\/(-14) + 6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1369 or -1372?\nAnswer: -1372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 + 116. Suppose -n - 3*r + 144 = -4*r, k = -n + 2*r + 148. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 7*z**2 - 2*z + 9. Let i be s(7). What is the remainder when (-1)\/i + 518\/10 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-4 - 7 - (13 + (8 - (14 - -20))))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 169 = 5481*v - 5432*v, -5*n = -v - 52 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*g = -16, -3*a + a - 4*g = -44. Is 9 a factor of (11\/(-1))\/(a\/(-100))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcc. Give prob of picking 1 f and 1 c.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/70 + 1\/(-14)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6764 - 223156\/33. Let q be (-20)\/(-255030)*(-6)\/4. Let l = q + 425071\/178521. Find the common denominator of l and d.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -474*g + 22744. Determine b(48).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g + 54. Let d = 62 - 49. What is the units digit of o(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d720 + 35?\nAnswer: -2d6c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + d - d + d**2 - d**4 - d**2 + (0 + 0 + 2*d)*(d**3 - 3*d + 3*d) + 2*d**4 - 3*d + 3*d + 1341*d**3 - 1341*d**3 + 1 + 6*d**2 - 7*d**4.\nAnswer: -6*d**4 + 6*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31200*j = 31228*j. Let c(p) = -p + 10. Let d be c(8). Suppose z - 2*x = 0, 0 = -0*z - 3*z + 4*x + 8. Solve j = 6*g - d*g - z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -22*q + 5189. Let d(r) = 10*r - 2591. What is 9*d(j) + 4*n(j)?\nAnswer: 2*j - 2563","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wowooopofoowfoiooof. Give prob of sequence iof.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11091.61 milligrams in nanograms?\nAnswer: 11091610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.719 - -0.281. Let c = y - 39.000094. What is c rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -323*u + 177. Let t be v(-6). Suppose -693 = -12*r + t. What is the highest common divisor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 475888660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, -0.3821, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3264 and 17088.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssss. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 12. Let n be 10\/25 - ((-69)\/15 + -4). Suppose 3*h - n = 0, -2*h + 46 = 5*g - 5*h. Is z smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, b: 2, s: 3, h: 1, j: 3, l: 1}. Give prob of sequence lb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g + 3. Let r(m) = -9*m - 35. Let i be r(-4). Let v be f(i). Which is the fourth biggest value? (a) 1 (b) v (c) 0.2 (d) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u + 14. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 2. Let w(y) be the second derivative of 5*y**3\/3 - 11*y**2\/2 + 2*y. Let j(r) = 11*d(r) + 2*w(r). Let q(p) = 4*p**2. Give q(j(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3455 + 9511 = k. Suppose -k = 8*w - 14*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e561a - a?\nAnswer: 2e5610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128964.\nAnswer: 2, 3, 11, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -784, -18, 0, -0.5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 858 - 79. Is h at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2, -4, 5\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -63. Let o = w + 18. Let k = 13 - 8. Solve 2*b = -3*z - o*b - 22, z - k*b = 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**4 - 15*i**3 + i**2 + 19*i - 10. Let g(u) = -17*u**4 + 30*u**3 - 3*u**2 - 37*u + 20. Let k(w) = -4*g(w) - 7*q(w). Let k(j) = 0. What is j?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/1)\/(7\/(-7)). Let f(p) = -11*p - 10. Let l be f(c). Suppose 0 = r + 4*k - l, r + r = -5*k + 228. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -256296\/299 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 29*n**7\/42 - n**6\/30 + 3*n**5\/10 + 12617*n**4\/12 - 2864*n. What is the third derivative of j(i) wrt i?\nAnswer: 1740*i**2 - 24*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 52, 414, 1408, 3352, 6564, 11362, 18064?\n\"Answer: 53*y**3 - 2*y**2 - 3*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/12*(2 + 14\/(-6)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 1077*g**2 + 20 + 19 - 1082*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/162 + (-1)\/(-171)*-20.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 1 (c) -69\/7 (d) 0.4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l - 36. Let b be ((-20)\/(-6))\/(6\/l). Suppose -7*q + 5*q + 8 = 0. Sort b, -3, q.\nAnswer: -3, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 less than 54644716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = -d + 2*r, r - 1 = -d. Let b = d + -1. Is b greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1552*b + 1713*b - 3692*b)*(b + 5 - 5)*(-3*b + b + 3*b).\nAnswer: -427*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.745832 days to hours.\nAnswer: 89.899968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 12. Let x = 44 + -51. Let k = -11 - x. Which is the smallest value? (a) -0.5 (b) h (c) 2\/7 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*c + 16 = -2, 2*c - 39 = -3*v. Let f(z) = z + 9. Let q(p) = p - 1. Let i be q(-4). Calculate the remainder when v is divided by f(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.2057051 minutes?\nAnswer: 12342.306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36126720 and 1470?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40, 80, 120, 160, 200, 240?\n\"Answer: 40*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:30 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f4908 (base 16) to base 10.\nAnswer: -1001736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 33*s - 124. Let k be o(-4). Is 3 a factor of 10\/((-6 - (-426)\/k)*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -25*l + 73. Determine f(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) -3\/2 (c) 4 (d) 181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 222 - 108 = -2*m + 122, 770 = 3*m - 761*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -484 at least -483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/135 and -133\/150.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 2*h**3 + 0*h**3)*(3 - 6 - h + 14).\nAnswer: 2*h**4 - 22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11\/8 + -83\/72. Let x = 4 + -4.5. Let y = 1.86715 - -0.13285. What is the closest to y in a, 1\/2, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g. Let q(b) = -473*b**2 + 472*b**2 + 58*b - 55*b. Calculate q(i(f)).\nAnswer: -25*f**2 - 15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**2 + 14*u - 2. Let h(r) = 3*r**2 + 5*r - 1. Give -14*h(b) + 5*n(b).\nAnswer: -2*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*g + 17538 = 0, 24*g = p + 28*g - 4388. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 97938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101659152 to the power of 1\/3, to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 - -104.0221. Let c = -0.6839 - z. Let m = c + 0.7. What is m rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 148*n**2 - 149*n**2 - 10*n + 6*n + 4*n. Let o(d) = 1923*d**2. Calculate o(l(u)).\nAnswer: 1923*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 143132 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:01 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 175644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3415 + -297.2415. Let a = y + 297. Sort 1\/5, 15, a in decreasing order.\nAnswer: 15, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -8. What is the nearest to 1\/2 in -2, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -8*b + 3*b. Suppose b = 2*r + 2*a - 626, 2*r + 3*r + 3*a - 1573 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -397 + 184. Let b = z + 212.9. What is the nearest to b in 5, -4, 3\/7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 11784782\/35?\nAnswer: 11784782\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (11955\/(-3188))\/(12\/16)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {h: 1, i: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(180) - sqrt(5)))**2 + 4.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.8 + 27.74. Which is the closest to -0.1? (a) -3\/7 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3415 - 23853\/7. Let h = q - 3401\/455. Let c be (6\/4)\/((-3)\/2 + 3). Do c and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 18*t - 30. Let h be r(-20). Let g be 1*5\/h*-1*-2. Solve -v - 2 = -g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.046 + -1.046. What is the nearest to 2\/3 in -2, -3\/4, w?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-4 - 2 - -3) - (25 - 27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 4*v - 7, -4*f - 1 = -5*f + 4*v. Let d be 6*1*f\/3. Let l = d + 8. Calculate the smallest common multiple of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7378, -13001, -18616, -24223?\nAnswer: -29822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106355781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 - 5) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 213*m - 373*m + 217*m + 798 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 19.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 5 = -3*v. Let f(o) = o**2 - 18*o + 86. What is the least common multiple of f(6) and ((-12)\/36)\/((-1)\/v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-1)\/8 - 4177\/(-4). Suppose -35*w = -31*w - t. Is 35 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-60)\/5 - (1 + -2). Let z be (0 + -1)*(-14 - -20). Let s be 9\/z + 1 + (-20)\/h. Solve -4*a + 10*q = 5*q - 25, 0 = 5*a - s*q - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**3\/3 + 5*a**2\/2 - 10*a - 30. Calculate k(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10791297*r**2 - 3452640 wrt r.\nAnswer: 21582594*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.7 + -8.4. What is the closest to 0 in -0.5, 1\/8, t?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 45.4978726817.\nAnswer: -45.0978726817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13262882, -26525765, -39788648, -53051531, -66314414, -79577297?\nAnswer: -92840180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 195\/2 - 2\/(-4). Calculate the greatest common divisor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 9. Suppose -4*q - 43 = -5*t, -q - t - 2 - 2 = 0. Let p be x(q). Is 2 - (-158 + (-2)\/p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1053793 + 2304.\nAnswer: 1056097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:44 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*v**2 - 178*v**2 + 349*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4368 and 816?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21451229 is divided by 3195?\nAnswer: 3194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 0.5, -281, -0.3 in decreasing order.\nAnswer: 0.5, 0.07, -0.3, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 0*r, -5 = 5*n + 5*r. Is n*-3*1\/((-9)\/(-1461)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 5*f + 8. Let l be m(-5). Suppose 2*k = -5*c - 3, 3*k - 4*c = -k + l. Let w = 1 + k. Solve 2*z + w = z - 2*q, -3*q = 4*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*j. Suppose j = g - 3. Suppose -3*f + 10 = 2*f + g*o, -15 = 3*o. Solve 3*y - 2*y = 4*x + 12, -f*y + 6 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/((-1872)\/(-624)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5412 - -97457\/18. Let g = 16\/9 - o. Which is the third smallest value? (a) -1 (b) 7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7397 and 1.6.\nAnswer: 7398.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -20*k + 61. Let p be w(8). Let n = p + 812. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, -1\/2, -20, 11.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2.4, -32, -2\/9, -3.9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1302690 and 77\/6513450?\nAnswer: 6513450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -884.75 - -884.65999936. Let g = -3 + 2.91. Let m = w - g. What is m rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.25 + 215.75. Let p = r + -209. Which is the third smallest value? (a) p (b) 1 (c) 2\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(5\/4)*h)\/h)\/(h\/(h*h**(-6)\/h)))**(-3\/14)\/(h**(-1\/6)\/h*h**(-2\/9)*(h*h**(6\/5)\/h*h)\/((h*(h*h**2\/h)\/h*h*h)\/h)) assuming h is positive.\nAnswer: h**(8081\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -15*j. Let i(v) = 5 + 0 - v - 5. What is i(t(s))?\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 162333775297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4126*p. Let v(d) = 33*d. Let z(t) = n(t) - 3*v(t). Let f(w) = -3*w**2. Give f(z(g)).\nAnswer: -48650187*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1339326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 17.3. Let o = 2 - 2.1. Which is the second biggest value? (a) q (b) 0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a + 0*a - 43 + 37 + (2*a - 3*a + 4*a)*(-4 + 7 + 1) as z + r*a and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = 4*k - 10*k. Let o = 42 - k. Let s(t) = t + 10. Let j be s(o). Solve j = -6*y + y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -814, -840, -916, -1066, -1314?\n\"Answer: -4*m**3 - m**2 + 5*m - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**8\/112 - 3*o**7\/70 + o**6\/40 + 3*o**5\/20 - o**4\/4 - o**2\/2 + o. Let t(h) be the first derivative of b(h). Factor t(f).\nAnswer: 3*f*(f - 2)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w + 320 = -34*w. What is the remainder when 117 is divided by (2\/(-4))\/(-2*2\/w)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/19768 and 29\/8974672.\nAnswer: 8974672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Suppose m - q*m = -2*i - 6, 0 = 2*m - 5*i - 15. Solve m = -2*o + 3*o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/20)\/((-9)\/120). Is (-4)\/z*7116*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 16) to base 6\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 49, -2, 2, 1 in decreasing order.\nAnswer: 49, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -0.4 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 0*m - 2*m**2 - 5\/8*m**4 + 1\/6*m**5 + 0 + 0*m**3. Find the second derivative of d(h) wrt h.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3820)\/15)\/((4\/16)\/((-105)\/56)). Round l to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67871031 * 0.1\nAnswer: -6787103.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + b + 17 = 0, s - 16 = 4*s + 5*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -201212 (base 3) in base 14?\nAnswer: -2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**3 - 4*q**2 - 14*q + 7. Let t(s) = 4*s**3 + 3*s**2 + 14*s - 5. Give 3*t(b) + 2*w(b).\nAnswer: 2*b**3 + b**2 + 14*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 1*8\/(-4). Suppose 4*y - 3*y + b - 4 = 0, -q*b - 16 = 0. Calculate the greatest common divisor of 24 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*o + 1197615, -5*o + 4*o = 3*p + 1197606. Let m = 177203 + p. Round m to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2299314584 a multiple of 2872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30753.\nAnswer: 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10670, 22647, 35932, 50525, 66426, 83635?\n\"Answer: 654*q**2 + 10015*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 13 = -c, -2*b - 3*c + 17 = -0*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2904)\/(-3872)*(-116)\/(-3)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0 - 2) + 85. Suppose 0 = 2*f - 4*v - 50, f + 2*f = -2*v + s. Let o = f + -18. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60088803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*(-42)\/4*(-16)\/72?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6)*c*c\/c**6)\/(c**(3\/8)\/(c*c**(-4\/3))) assuming c is positive.\nAnswer: c**(-233\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 4100 = 223*d for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 402 + -384. Calculate the highest common divisor of 234 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1554?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 = 0, 2*x - 20 = -5*g - x. Suppose 0 = 2*z + 1 - 5. Solve 0 = -4*a - 3*n - 2*n - g, z*n = 2*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1438*w - 1474*w + 850*w + 459*w - 1389*w + 5.\nAnswer: -2992*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10840256597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322 (base 4) in base 14?\nAnswer: d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 + 29*s + 81. Determine o(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 56*y - 4. Let t be a(4). Let h(k) be the second derivative of 7*k**4\/4 + k**3\/6 + 7*k. Let x be h(1). Calculate the highest common factor of x and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22 (b) -56 (c) -182\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -20*((-2)\/5 + (-2 - -2)). Let a be (-963)\/(-33) + 3\/((-132)\/d). Suppose 0*q + x - a = -q, 4*x = 4. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98609 is divided by 2229.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0074, 1\/3, 0.1858, 0.3 in decreasing order.\nAnswer: 1\/3, 0.3, 0.1858, -0.0074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 6:20 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 10*t = 9. Let j = t - -15. Suppose 13*a = 5*a + j. Solve v = 4*m - 20, 2*m - 16 = a*v - v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = z - 3 - 6, -4 = -2*z - i. Let d(s) be the second derivative of s**5\/5 - s**4\/6 + s**3\/6 - 3*s. Give d(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 17617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w*w*w**(-2))**5)**12 assuming w is positive.\nAnswer: w**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 16*d**2 - 18*d - 18. Let u be r(-17). Is (-259)\/u + (-8 - -12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 33*y - 201. Give v(9).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**8\/40320 + g**7\/10080 - g**5\/6 + 10*g**2. Let z(v) be the third derivative of c(v). Determine q so that z(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782543423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 56. Let f = v + -54. Sort 3, f, 1.\nAnswer: 1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzmuztmzmmttttttr. What is prob of sequence trr?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + i + 2979. Is 4\/(-14) + i\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 580*r + 7. Is i(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -17*k + 267. Determine l(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1928213*k**2 - 6038125*k wrt k?\nAnswer: -3856426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2041 take away -5?\nAnswer: 6.2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171 - -185. What is the derivative of 87 + 38 + 21*r - s + 48*r wrt r?\nAnswer: 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 14. Suppose -j*k - 1703 = -p, 8*k - 3366 = -2*p + 4*k. Suppose -3*d - 2768 = -5*l, -p = -3*l - 2*d - 34. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2516982 is divided by 722?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*m + 71*m + 7599 = 45*m - 37*m for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 638?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 3, u: 1, x: 1, f: 1}. Give prob of picking 1 g and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from oeeoeeeoeo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Let x(l) = 3*l + 1 + 1 - r. Let d(t) = -3*t**2. Determine d(x(a)).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a decade in years?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 1168763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21111159 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n + 2. Give w(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1)*(-6 + 2 - 1)*(-750*c + 146*c - 574*c) to n + t*c and give t.\nAnswer: 5890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6948.4 + 6948. Let u(d) = d**3 + 8*d**2 + 6*d - 5. Suppose 0 = 8*r - 4*r + 28. Let g be u(r). Sort f, g, 11.\nAnswer: f, g, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2051478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from csbbsdhsskskc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 7*d - 14. Suppose -3*t - 96 = -d*m, -5*m - 2*t = -0*t - 120. Suppose 0 = -19*c + m*c - 10. Let i(r) = 2*r**2 - 2*r + 2. Determine i(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from bbhhvbhhyhhby.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 9 - 10*t)*(4*t - 2*t + t) - 5*t**2 + 13*t**2 + 5*t**2 + (1 - 1 + 1)*(-2*t**2 + 0*t + 0*t) to the form f*t + x + a*t**2 and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*p - 20*b + 600*p**3 + 2*p + 52 wrt p?\nAnswer: -2*b + 1800*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 1:28 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34 - 34 + 2*u**2 + (5 - 3 - 4)*(0 + 0 - u)*(-3*u - 3*u + 4*u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 - 3. Let m = 2.35 - 0.45. Let b = l - m. What is the closest to 1\/3 in b, -4\/9, 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33344 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2080642?\nAnswer: 2, 89, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.205 - -0.005. Sort -0.5, 0, p.\nAnswer: -0.5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.3, -102, 4\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/4 + (-3)\/(8 - 2). Let q be 1351\/14 - 3\/i. Let c = 162 - q. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-8\/5)*d)\/(d**(1\/8)*d)*(d\/(d*d**(-2)\/d))\/d*d**(1\/7) assuming d is positive.\nAnswer: d**(1293\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 3*b**2 - 3*b + 1. Let k(v) = -v**2 + 8*v - 8. Let m be k(6). What is the remainder when 14 is divided by a(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/7 and -39\/41?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/5 > 60625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (2*sqrt(704))**2 - sqrt(44)\/sqrt(4)*6.\nAnswer: 2*sqrt(11) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -0.004 in decreasing order.\nAnswer: 3, -0.004, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknkkknkkkkkkkkkkkkk. What is prob of picking 1 n and 2 k?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.2 (b) -1\/3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrfsrsrsfrsrs. Give prob of sequence rffr.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 4. Determine x(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -20*s**3 - 21*s. Let y(b) = 100*b**3 + 104*b. Let t(c) = 14*p(c) + 3*y(c). Find the second derivative of t(l) wrt l.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-4*(-4)\/30*((-108)\/12)\/(-18))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v. Let t(a) = -a**2 - 30 + 4 - 59 + 5 - 34. Give k(t(q)).\nAnswer: 2*q**2 + 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/sqrt(225)*1.\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-319)\/(-29) - (-3 - -1). Solve 54 = j*v - 40*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1160 - -1170 - (0 - (-91 - (3 + -4))) - -4.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (270 - 323 - a - 176)*(-a + 2*a + a) to l*a**2 + s + r*a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155 - -158. Suppose -60392 = 4*x - 4*r, -3*x - u*r - 29973 = 15333. Round x to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -16*b**2 - b. Let c be (26 + -43 + 17)\/2. Let q(v) be the third derivative of c*v**3 - 1\/30*v**5 + 30*v**2 + 0*v**4 + 0 + 0*v. What is i(q(j))?\nAnswer: -64*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 37943\/38 + (-1)\/(-2). Let k = u + -458. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*z = -l + 3, -l = 3*z - 3. Calculate the common denominator of 37\/(-24) - (-2)\/l and 238\/12 + -1 + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3692321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(-63) + 26\/6. Solve -5*v + y*i = 3*i + 4, -5*v - 9 = 4*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 24*b + 819. Let v be c(-34). Solve -3*o - 2*i - 4 = 5, v*i = 3*o + 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.93154379 to 2 decimal places.\nAnswer: -19.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3111117215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 348935855?\nAnswer: -348935855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -74*h + 366. Let f be s(5). Put -4\/7, f, 27 in ascending order.\nAnswer: f, -4\/7, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 4:29 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2235 - 2230. Suppose 5 = 4*v - 27. Suppose 0 = -d*s - 7*z + v*z + 112, -108 = -5*s - z. What is the greatest common factor of s and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 177*d**3 - 19*d**2 - 30*d + 216. What is the tens digit of n(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-6)\/(-36)*3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28 + -1*(1 - 0). Find the common denominator of 8 + -10 + j\/22 and ((-42)\/560)\/((-3)\/(-214)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 7 = -8, -6 = -3*a + 3*j. Let c = -97\/5 - -19. Sort c, -3, a in descending order.\nAnswer: a, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a - 6 = 19*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4619784 and 543504.\nAnswer: 9239568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17640.1048 rounded to 0 decimal places?\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -11*d**2 + 58*d + 739. Let a(y) = 13*y**2 - 58*y - 745. Let h(g) = -5*a(g) - 6*z(g). Find the first derivative of h(x) wrt x.\nAnswer: 2*x - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 2*b**2 + 0*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a**(-13)\/a)\/a*a*a**(2\/17))\/(((a\/a**22)\/a)\/a**(8\/9)))**(2\/47) assuming a is positive.\nAnswer: a**(3062\/7191)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -330770 + 470691. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34808 = 30*x - 275*x - 213*x for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1122737, 2245480, 3368223?\nAnswer: 4490966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1976*t = -750 - 15058 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4750 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 180351042 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2. Let v(l) be the third derivative of -47*l**7\/2520 + l**4\/6 - 17*l**2. Let z(r) be the second derivative of v(r). What is n(z(d))?\nAnswer: 4418*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: Let j = 11.3 - 2.1. Let t = j - -0.1. Let m = -9 + t. Which is the third smallest value? (a) m (b) 0.6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 295419 and 2.\nAnswer: 590838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -37*h**2 - 4*h - 9. Let f(w) = 34*w + 2. Calculate q(f(o)).\nAnswer: -42772*o**2 - 5168*o - 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2 + 19377555*a + 19377552 = 0. What is a?\nAnswer: -6459184, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjjjjjjmjjjj. Give prob of picking 1 m and 1 j.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stwrbrr. What is prob of sequence wstb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + n**3 + (3 - 3 + 2*n**2)*(3*n - 2*n + n + (2 - 2 + 6*n)*(1 - 1 + 2) - 2*n - n + 4*n + 3*n - n - 4*n).\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j - 153. Give r(-17).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 11:52 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-150))\/(6\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 915299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 924139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52.096 + 1.446. What is n rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(273\/112) + -6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*s - 814*s - 1691*s - 46290 = 122*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2025 - 2955. What is y rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1327778, 1327776, 1327774, 1327772, 1327770?\nAnswer: 1327768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:37 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 - 48*r**3 + 396*r**2 - 648*r.\nAnswer: -4*r*(r - 3)**2*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 672 = -4*q. Let o = 70 - 111. Let d = o + 62. Calculate the highest common factor of d and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27981, -55957, -83935, -111915, -139897, -167881?\n\"Answer: -y**2 - 27973*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 33*v + 169. Let b be s(-5). Let h(f) = f**2 - f - 4. Let z be h(3). Suppose -b*y + z*d = -2*y - 2112, -2*y = 4*d - 2142. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*j**2*v - 3446*j**2 - 16*j + 3597*v - 695 wrt j.\nAnswer: -32*j*v - 6892*j - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 12:19 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -250*w + 13981 - 13981 in the form l + q*w and give q.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31616 is divided by 360?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -989955*l - 45. Let s(x) = 44998*x + 2. Let d(g) = -90*s(g) - 4*y(g). Let a be d(-2). What is a rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 80714, 322754, 726156, 1290920, 2017046, 2904534?\n\"Answer: 80681*y**2 - 3*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*s = 34, -4*u + 2*s + s - 27 = 0. Let f(g) = g**3 + 5*g**2 - 6*g + 4. Let m be f(u). Let x be 18\/(-4)*(-4)\/6. Put x, m, -4 in descending order.\nAnswer: m, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 140 - 194*u**3 + 7224*u - 7224*u wrt u.\nAnswer: -582*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 15. Suppose t*b = -0*b + 195. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14140 and 1.\nAnswer: -14140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4011 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: Let i = 337 + 3. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, c: 7, d: 5}. Give prob of sequence yc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-26)\/i)*i*i**24)\/(i**(2\/5)*i*i\/(i*i\/i**(-6\/11))*i))**(7\/4) assuming i is positive.\nAnswer: i**(5019\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67753821 to the power of 1\/2, to the nearest integer?\nAnswer: 8231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 3 - (46 - 47)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 13*j - 16. Let o be a(14). Let c(b) = -37*b + 6. What are the prime factors of c(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 16*v**2 - 37*v + 27. What is x(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 2*h + 6. Give z(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2294 - 2852 = 176*g - 1098 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + 47. Let t = 66.7 - m. Is t bigger than -15\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l = -20*l + 25*l - 70 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-3*sqrt(76)*-5 - sqrt(76)) + sqrt(76))*-4)\/(sqrt(64) - sqrt(64)*1*5))**2.\nAnswer: 4275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8548753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68287 - 18755 = -6*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/(((-180)\/(-27))\/(-10)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 - 97. Suppose 4*w + 5*l = 6*l + s, 0 = 5*w + l - 24. Sort 38, w, 1 in decreasing order.\nAnswer: 38, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 13*v = -42 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164281 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2\/5*y**2 + 22\/5 - 24\/5*y = 0?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 104. What is the tens digit of j\/4*(3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -241170324 by -1.\nAnswer: 241170324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 4*w - w)*(-1 + 0 + 3)*(18*w + 16 + w**2 - 18*w).\nAnswer: 2*w**3 + 32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/28 - -5) + (-2 - (-385)\/98)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or 2?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.16 take away -7?\nAnswer: 28.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120100 + -12?\nAnswer: 120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.0252 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 271, 422, 573, 724, 875?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/7 + 16448382*g\/7 = 0.\nAnswer: -8224191, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 - 80. Let z = 151 + r. What is the nearest to -1 in z, -3\/5, -1\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5201*h - 3622*h + 2115 + 5112 = -1596*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-3\/4))\/(l*l**5))\/(l**(-1\/3)\/(l*l**7))*(l**(-8)*(l\/(((l*l**8\/l)\/l)\/l))\/l)**40 assuming l is positive.\nAnswer: l**(-6671\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 65289.22831 to the nearest 1000.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19026 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 511*z + 623*z - 2 - 1730*z + 434*z to the form x*z + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(4\/5)*g)**(9\/7)\/(((g**(-20)\/g)\/g)\/((((g*g**(-2\/7)\/g)\/g)\/g)\/g)))**27 assuming g is positive.\nAnswer: g**(3186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1707373800 to the nearest one million.\nAnswer: -1707000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 + 90.3. Which is the second smallest value? (a) -0.3 (b) d (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3367012.3 to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5 + (sqrt(10)\/sqrt(2) + -1 - sqrt(5)))**2 + ((sqrt(5)*-1 + sqrt(5))*-5 - sqrt(5)) + (sqrt(60)\/sqrt(3) - sqrt(20))).\nAnswer: -216 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*h + 25*h - 29*h)*(0 + 0 - 2*h).\nAnswer: 268*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 2*y - 1. Let o be g(3). Let l = 19 + o. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/76 - 301\/228. Let s = 412.024 - 410. Let w = 0.024 - s. What is the closest to w in -1\/7, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + (5 - 6) + -2 - -14\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -12*w**3 + 8*w. Let m(f) = -f**3 + f. Determine 8*m(v) - r(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*5*(5*sqrt(1331)*2 + 1*(sqrt(1331) + -4))**2 + -3.\nAnswer: -4832017 + 29040*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 - -5 - -1509*(-4)\/2106 and 83\/78?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35610*0.11351\nAnswer: -4042.0911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 3360 = -9*n. What is the greatest common divisor of 21 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (2 + -4 + -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 11*m - 11. Calculate j(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*f)*(-8 + 8*f + 8)*(-6 + 2 + 2) to the form d*f + j + q*f**2 and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - (-10 + 13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010111110010011100 (base 2) in base 4?\nAnswer: 1113302130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + x**2 + 7*x**2 + (5*x - 2*x - x)*(-3*x - 5*x + 2*x) to b + v*x + a*x**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -4*g - 3, -4*q = 32*g - 29*g - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7 - 5*a - a + a + 5. Let y(z) = 6*z + 3. Let k be 48\/(-18)*6\/4. Determine k*y(u) - 5*r(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 299\/(-182)*7602\/543.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51856.\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - s**2 - 3*s + 2. Determine f(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5558*z + 11226 wrt z?\nAnswer: 5558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/128)\/((-2)\/8*-2). What is the third biggest value in -4, d, 3\/5, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 130055, 130056, 130057?\n\"Answer: s + 130054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h. Let a be 5 - ((2 - 1) + -2). Suppose 2*k + 24 = a*k. Let c(z) = -k*z - z + 4*z. What is c(n(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - t - 1. Let a be k(1). Which is smaller: -3\/52 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 21*p**2 + 0*p**2 - 40*p**2. Let u(q) = 3*q. Give u(o(k)).\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 7:18 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + (1*(-3*(-5 + sqrt(45)) - sqrt(45)))**2)*4 + -5.\nAnswer: -1440*sqrt(5) + 3759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(720) - sqrt(720)) + sqrt(720))**2 - sqrt(720))*-6 - ((sqrt(40)\/sqrt(2))\/sqrt(4) + -5).\nAnswer: -4321 - 73*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48665 is divided by 3241?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*f**2 + 7*f**2 - f + 7*f**2 - 3*f**4 in the form s*f + q*f**3 + l*f**2 + u*f**4 + c and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 713073711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -41*y + 280. Suppose -32 + 0 = -y*u. Find q such that 0 - 2\/3*q**u + 2\/3*q**3 + 4\/3*q**2 + 0*q = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.3 (c) 99 (d) -6.1 (e) 4\/3 (f) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15748 - 15748 - 568*m + 3*m + 3*m - 5*m + (-1 + 1 - 2)*(-6*m + m + 4*m) + 2 + 2*m - 2.\nAnswer: -563*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 7 = 5*q, 4*n = q - 3*q - 14. Suppose 3*a - 7 = -q. Suppose -3*m + 3 = -0*m, -a*d - m = -19. Calculate the highest common factor of 36 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0 = 5*d - 25, -d + 4*a = -11. Suppose 0*k = d*k. Factor 2\/9*p**2 + 0 + k*p + 2\/9*p**5 + 2\/3*p**3 + 2\/3*p**4.\nAnswer: 2*p**2*(p + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 49\/((-21)\/((-231)\/22)*2\/16). Calculate the greatest common factor of 280 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuuku. Give prob of sequence ukuk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**4\/2 + 933*a**3 + 226335*a**2\/2 + 1062450*a + 2598750 = 0.\nAnswer: -462, -150, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1134 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.3 - -0.3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 608 = -42*d. Suppose u - t + 18 = -6*t, -4*u + 2*t + d = 0. Find z, given that -1\/4*z**3 - 1\/8*z**4 + 0*z + 0 + 0*z**u = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 368739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000162119226 rounded to seven decimal places?\nAnswer: -0.0001621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5 + 23765*j**4 - 35685*j**3 - 392185*j**2 - 154477*j + 178260 = 0. Calculate j.\nAnswer: -11884, -3, -1, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7443949, -29775776, -66995487, -119103082?\nAnswer: -186098561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14225, 28351, 42421, 56441, 70417, 84355, 98261?\nAnswer: 112141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*i = -5*t + 626*i - 116, -i = 2*t + 36 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 28. Let f = -4405\/13 + 339. What is the nearest to 1\/2 in -2, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16c0 - e?\nAnswer: -16ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 2:44 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 612 divided by 51.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 equal to 43684\/629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64923738 to the power of 1\/2, to the nearest integer?\nAnswer: 8058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peelfrpefelp. What is prob of sequence rpl?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51286235 or 51286246?\nAnswer: 51286235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 0.01 (c) 7 (d) 4 (e) -1 (f) -5180\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -g - 2*g. Let c be (1 - 2)*-2*208\/(-32). Calculate the smallest common multiple of (0 - 4\/(-6))\/(c\/(-390)) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*j + 25*j + 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008903 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) -3\/7 (b) 21 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -5147*b**5\/20 - 164*b**4 + 2149*b. What is the third derivative of h(t) wrt t?\nAnswer: -30882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -34. Let l = 15.1 + s. Which is the smallest value? (a) 4 (b) l (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -559 divided by 8\nAnswer: -559\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**3\/3 + 14*o**2 - 47*o - 7. Let r(g) = 11*g. Calculate i(r(n)).\nAnswer: -22*n + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -9 - (-30 - -31)) + 5 - 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23560*z + 23536*z - 5*z**2 - 47202*z + (5*z**2 - 2*z**2 - z**2)*(-2 + 0 + 3).\nAnswer: -3*z**2 - 106*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**3*y**3 - 3*m**3*y**2 + 215*m**3*y wrt y.\nAnswer: 6*m**3*y - 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40111 + -7071?\nAnswer: 31020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 3. Sort 1, -0.4, d.\nAnswer: -0.4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*t - 41*t + 28*t**3 + 637*t**3 - 1165*t**3 - 42*t.\nAnswer: -500*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, v: 2, o: 2, l: 3, k: 1, n: 4}. Give prob of sequence to.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -685162 - -5?\nAnswer: -685157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + q**2 - 3*q - 10 + 0*q**2 + 3*q. List the prime factors of o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -23. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118204 divided by -79?\nAnswer: 118204\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 0 - 1\/3*c**3 + 7*c - 41\/2*c**2. Let y be q(-22). Solve 0 = 2*b - 2*l - 12, y*b + 3 = b - l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -890000 to the nearest ten thousand.\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 730 (base 8) in base 14?\nAnswer: 25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30197.0669 and 2.7908?\nAnswer: 30199.8577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 51, 85, 133, 195, 271?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 8 + 2)*(-n**2 + n**2 + n**2) - 2*n + 2*n - n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 3, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4413642145 minus 6857.3?\nAnswer: -6857.7413642145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53*h - 25*h - 22*h + 16*h**2.\nAnswer: 2*h*(8*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f**3\/17 + 5492*f**2\/17 + 1826*f\/17 - 3660\/17 = 0. What is f?\nAnswer: -915, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 2*o**2 + 5146 - 288 - 3*o**2.\nAnswer: -o**2 - o + 4858","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1. Suppose 177 + 45 = 3*t. Let s(d) = 75 - 151 + t. Let v(w) = -3*k(w) + s(w). Let a(x) = -x + 4. What is a(p) - 5*v(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(5*y + 0*y - 4*y + (-2*y + y + 6*y)*(1 + 2 - 2)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 117 - 149. Let n(c) = k*c**2 + 35*c**2 - 42*c**2. Let v(s) = -2*s**2. Determine v(n(u)).\nAnswer: -1922*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + c + 62 = 0, 31*c = 168*l - 166*l + 405 - 1699 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 - 6*c**2 + 1 + 7*c - c + c**2. What is j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {x: 1, q: 14, d: 5}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2882622 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 256 = 4*f, -3*f + 2*d + 192 = d. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-39)\/(-13))\/(5 - 4). Let b be ((-1)\/(-2))\/(3\/(-12)). Put v, b, 4 in ascending order.\nAnswer: b, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 16*l**2 - 22*l - 87. Let p = -3030 - -3013. Calculate x(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3))**(-4\/17)*j**(-2\/3)\/(j*j\/j**(-1\/2)) assuming j is positive.\nAnswer: j**(-105\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/2))**(-9)*(b**(-2))**47 assuming b is positive.\nAnswer: b**(-197\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*v = 38, b - v = 3*b + 18. Let i be -2 - b - -1 - 2. Solve -n + 3 = i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3.5, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + sqrt(720)\/sqrt(9) - ((sqrt(25)*1 - sqrt(25))\/sqrt(5)*-1)**2 - (-5 + sqrt(5)*3 + -5*(sqrt(125) - sqrt(5)))*1).\nAnswer: -84*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 434\/21)*(-73)\/(-2263)*93?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*t - 11*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 1:03 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 3*v + 4. Let x be w(-3). Suppose -z + x*z - 5*n - 1053 = 0, 2*z + 3*n - 721 = 0. What is the common denominator of 4\/(-16)*z\/(-14) and -83\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/8 and 85\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 g when three letters picked without replacement from nnnnggnggjnj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-60) - 32\/(-10). Suppose g*r - 4*r + 10 = 0. Calculate the least common multiple of 4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7}. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*b + 2367 = 0, 0 = -3*g - g - 2*b + 3154. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154 - -140.8. Let u = -16.2 - p. Sort -0.5, u, -0.3, -5.\nAnswer: -5, u, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 939 - 937. Solve 3*n - 2*n - 5*l + 13 = 0, 3*n - d*l = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7296486.\nAnswer: 2, 3, 197, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -0.2 (c) -2\/11 (d) -118\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -5\/4*w**4 - 27*w - w**2 + 24 + 0*w**3. Find the first derivative of b(k) wrt k.\nAnswer: -15*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 4*k - 6. Let g = 15 + -10. Let m be a(g). Is (m\/2)\/((-5)\/1270) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2. Let u be i(-2). Let g be 171\/2 + (-1)\/2. Suppose 2*l + 44 = 2*w, g = u*w - 2*l - 3*l. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16688 + -367223\/22. Find the common denominator of -13\/14 and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 178590.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 - d - 1. Let a be n(-1). Suppose -7 = -a*q + 3. Find the third derivative of -3*o**2 - 3*o**5 + 0*o - o**q + 0*o wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1254, 2514, 3784, 5064, 6354, 7654, 8964?\nAnswer: 10284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1222313223 (base 4) to base 9\nAnswer: 736416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -100535, 0 in ascending order.\nAnswer: -100535, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -u, 4*o - 559 = 5*u + 289. What is the highest common divisor of 23 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 316, 640, 952, 1246, 1516, 1756, 1960, 2122?\n\"Answer: -l**3 + 331*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.85 + 0.85. Is -0.1 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.3 or -0.2?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 3\/2 (c) 4 (d) 2 (e) -13.281\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 297*k - 614. What is s(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10240304 - 10321?\nAnswer: 10224433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 10*p - 14 + (2*p - 1 + 1)*(0 - 1 + 2) - 882*p + 442*p - 455*p.\nAnswer: -903*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(425) + 2*sqrt(425)*3 + (sqrt(425) - (sqrt(425)*3 + -5)))*1)**2.\nAnswer: 300*sqrt(17) + 10661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 9*i + 13. What is m(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*t + 22 = t, -4*t - 18 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 457143651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3023 - 5*j + 27*j - 3088*j**4 + 3134*j**4 with respect to j.\nAnswer: 184*j**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 622450?\nAnswer: 1867350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-14238.\nAnswer: -569.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01671 to four decimal places.\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 6, -0.1014888, -35 in decreasing order.\nAnswer: 6, 0.5, -0.1014888, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*k - 202*k + 5 = -0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -23*4\/14 + 44\/77. Let b = 47 + x. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 f, and 1 y when four letters picked without replacement from {z: 2, h: 1, y: 1, b: 7, f: 1, r: 8}?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 819*x**3 - 231*x**3 - 5296 + 5296 + 368*x**3.\nAnswer: 956*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8441 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - x - 15, -3*n + 11 + 14 = 2*x. Let y be (-27)\/(-5) - (-4)\/(-10). Let z be (y\/(-3))\/((-1)\/3). Solve n + z = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2781 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60839 * -286.\nAnswer: -17399954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 53*p + 48*p - 4 - 135*p. Let l(k) = -2*k. Give l(w(g)).\nAnswer: 68*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(37\/1036)\/((-3)\/4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*r**2 - 8*r**2 - 3*r**2.\nAnswer: 85*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8741, -8744, -8747, -8750?\n\"Answer: -3*c - 8738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -10. Suppose 3*i = 0, -a*j + 0*j = -i - 12. What is the third derivative of -2*u**2 + 6*u**2 - 2*u**2 + 5*u**j + 0*u**2 wrt u?\nAnswer: 600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000076675 to 7 dps.\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b - 2*b - 2*q, -6 = 2*b + 5*q. Let y(c) = -4 + 5*c - 6*c**2 + 10*c**b - 3*c**2 + 5. Calculate y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/5 - 8\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2278*x + 54390 + 7116 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0 + 1\/20*h**4 + 0*h**2 + 1\/10*h**3 - 7*h. Find l such that s(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**5\/60 + c**2. Suppose -9*d = -8*d - 2. Let b(n) = -d + 2 + 2*n**2 + n**2. Give b(v(r)).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 36. Let t = w - -2. Solve -a - 15 = 5*v + 3*a, t*a + 15 = -5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (113 - 115) + 0 + -2 + 1 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79787.88 nanograms to tonnes.\nAnswer: 0.00000000007978788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9843?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - -2. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.5, -3, -2, 0.661, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(48))\/sqrt(6))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -91442, -89844, -88246?\n\"Answer: 1598*o - 93040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 - 8 = 5*g, -3 = 3*g - 4*v. Which is the third biggest value? (a) 3 (b) -1 (c) g (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -55, -224 in decreasing order.\nAnswer: -16, -55, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -13*n + 1. Let y be x(-9). Let d = 200 - y. Is d a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2591928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292.7801 grams to tonnes.\nAnswer: 0.0002927801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 37. Let u be ((-429)\/(-52))\/(o\/4). Which is smaller: 3\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m - 4. Suppose 4*d - 5 + 29 = 0. Let k(n) = 1 + 97*n + 6 - 44*n - 40*n. Give d*k(u) - 11*o(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4 = 4*y - 3*g, 5*g + 14 = 2*y. Suppose 5*c = 2*k - 56, -4*c = -y*c + 8. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 4860 = 3*k. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 18*p - 5*p - 12*p - 493*p**2 - 33 + 985*p**2 - 497*p**2 + p**3. Determine s(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*(t\/((t**0\/t)\/t*t*t))\/t))\/t)\/(t**4*t))\/(t\/t**(-2\/3))**(-29) assuming t is positive.\nAnswer: t**(127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*1*(-29 + 31). What is the least common multiple of (-30)\/(-5 + -1)*d\/(-10) and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**24))\/x*x)\/(x*x\/((x\/(x*x*x*x**28\/x))\/x))*(x**(-2\/23)*x)\/x**10 assuming x is positive.\nAnswer: x**(-1497\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n - 2*p + 1, -4*p = -4*n + 28. Calculate the greatest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.55 (c) -1 (d) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 30*s - 39. Let d be w(-32). Suppose d*a + 138 = 31*a. Let b(c) = 2*c**3 - 6*c**2 + 3*c - 1. What is the remainder when b(4) is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -111*s - 9. Let y be l(-3). Suppose -7*a + y = -16*a. Let g be ((-10)\/2)\/(9\/a). Solve 0*n + g = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1282821323?\nAnswer: 7, 31, 844517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 827 and 137282?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2\/7, 409, -4, 31, 5 in increasing order.\nAnswer: -4, 2\/7, 0.4, 5, 31, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -75*z**2 - 58*z + 17. Let x(j) = -56*j**2 - 59*j + 16. Give -3*s(f) + 4*x(f).\nAnswer: f**2 - 62*f + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c. Suppose 0*w - w = c. Let z be 2\/30*21\/(-7). Is z less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine halves of a minute?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 2*y + 2. Let o be t(0). Suppose 4*x - 3*r = 2, 0*r = o*x + r - 6. Suppose q = x*q - 101. Is q a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1436047674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-189)\/6480*-32\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 3 - y + 27*y**2 + y**3 - 38*y**2. Let i be l(11). Let w(q) = 2*q - 5. Let t be w(4). Solve 2*j - 20 = 5*a - i*a, -t*a - 40 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**3 - 57*t**2 + 16*t - 30. Let q be v(14). Let d(o) = -13*o**2 - 1. Let n(r) = -13*r**2. Give q*d(w) + 3*n(w).\nAnswer: -13*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-468)\/(-102)*27 + (-6)\/(-51)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5*n - 2*n - 6 = 0, 4*o - 8 = -5*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -11 + (8 + 0 - (-62 + 60)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 43 + 1138*d - 3 + 2.\nAnswer: 1138*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 24 - 0. Let q(h) = 6*h - 8 + 8 + y*h. Let r(i) = 2*i. Calculate r(q(u)).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.33 - -10.33. Let l = -13.1 + 12.6. Let j = -2 + 2. Sort l, j, a in ascending order.\nAnswer: l, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4973 - 4975. Let d(s) = 2*s**3 - 4*s**2 - 7*s - 2. Let m(t) = -t**3 + 4*t**2 + 6*t + 1. Let v(n) = -3*d(n) - 4*m(n). What is the units digit of v(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18245 is divided by 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/10)\/(10 - (-2985)\/(-300)). Does 47 divide u\/(-6) + 106927\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(6\/26) - 1\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 1. Let m(s) be the third derivative of 0*s - 2*s**2 - 1\/12*s**4 + 0 - 1\/3*s**3. What is -8*j(p) - 5*m(p)?\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 374, -60, -1.\nAnswer: -60, -1, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-18))\/((-40)\/45*(-132)\/352).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1806204\/857 or -2107?\nAnswer: -1806204\/857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 3*j + 2. Let f be y(3). Let s(w) be the first derivative of 2*w**3\/3 + 2*w**2 - 5*w + 7. Let a be s(-3). Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 88491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 114*t + 0 - 22*t - 30*t.\nAnswer: -166*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1659201?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 5\/6, 2\/13, -5, -2\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3635 (b) 4.9 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/72 + 1\/(8\/257). What is the highest common divisor of 80 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185577034?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-1 - 2\/(-1)). Suppose 4*m - y*s = 3*m - 6, s = -3*m - 2. Let n be m\/(-1 - 0 - 0). Is -2\/9 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t - 3. Let k(b) be the third derivative of b**5\/60 + 20*b**2 - b. Determine k(w(c)).\nAnswer: 16*c**2 - 24*c + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/12 + (-99)\/220)*-808. Is d < 163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**3 + 2*l**2 - 1. Let u(t) = -4*t**3 - t**2. Let r(w) = -3*n(w) - 4*u(w). Let h be r(3). What is the greatest common factor of h and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 3:05 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3 + 572\/(-33). Let j be 5\/(5\/(-18))*2\/2. Is a at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6 - -1*(8384 + (-5 - -5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x. Let t be h(-2). Let d(u) = -u**2 + 0*u**2 + t*u**2. Let g(j) = -11*j + 4*j**2 + 11*j. Determine d(g(z)).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -61107070 and 48.\nAnswer: -61107022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9623.05186 - -9623. What is i rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -1\/4, 57.12, 16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 14 = -13. Let t(c) be the second derivative of -1\/2*c**p + c + 0 + 1\/2*c**2. Differentiate t(v) with respect to v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + 5*s + 4*s - 2*s - 10. What are the prime factors of r(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.12579 and -0.5.\nAnswer: -0.62579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 604*z + 2384.\nAnswer: 2*(z - 298)*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 2, i: 1, h: 1}. Give prob of picking 1 o and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 - 8*c**2 + c**2 + 2 + 136*c.\nAnswer: 8*c**2 + 136*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -4 + 22 - (-4 - -22)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 15215?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22665654.\nAnswer: 2, 3, 11, 114473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i - 3 + 2 - 5*i**2 - 4. Let k(u) = -6*u**2 - 3*u - 4. Let a = -927 - -922. Let b(m) = a*k(m) + 4*l(m). Give b(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/5)*o**(2\/21)\/o)\/(o*o\/((o*o**(2\/3))\/o)*o)**(4\/3))\/(((o**(1\/2)\/o)\/o)**15)**20 assuming o is positive.\nAnswer: o**(140422\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/272 and 45\/3094?\nAnswer: 24752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:08 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3280 (base 10) to base 7.\nAnswer: -12364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueau when four letters picked without replacement from ueuea.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.308 and 392977359.\nAnswer: 392977368.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*g - 3080, -1568 = -5*u - 4*g + 3580. What is the remainder when u is divided by 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1405 divide 17003310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08537 and -125.\nAnswer: -124.91463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrb. Give prob of sequence rb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n - 10. Let p be s(8). Let d be p\/(-4) - (-16)\/(-32). Calculate the highest common factor of 88 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 357 = -4*q, -8*c + 7*c = -3*q - 78. Are 69 and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -288*g - 858. Give l(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 27*i**3 + 7*i**2 - 11*i + 15. Is g(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 26*l + 679 = 0. What is the remainder when l is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 36 = -l - 0, -l - 3*k + 28 = 0. Suppose 3*o - l = 11. Suppose o*d + 210 = 18*d. What is the greatest common divisor of d and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/604435 - 36749741\/56212455. Let g = 2\/155 - s. Which is the second biggest value? (a) -0.3 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*b + 54, 2*k - 43 = 5*b + 11. What is the remainder when 52 is divided by k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 84018*o + 2268972.\nAnswer: -2*(o - 126054)*(o + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/9)*k\/((k**(-9)\/k)\/k))\/(k*k\/(k*k**(-2))*k**4\/k) assuming k is positive.\nAnswer: k**(50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-4)\/g)\/g)\/(g*g**2\/g*g*g))\/(g**(-6)*g*g*g**(6\/5)) assuming g is positive.\nAnswer: g**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**6\/120 + 3*q**5\/20 + 15*q**4\/16 + 9*q**3\/4 - 2*q + 1721. Factor j(v).\nAnswer: v*(v + 3)**2*(v + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/(h\/h**6))\/h)**(-3\/4))**(-5\/8) assuming h is positive.\nAnswer: h**(45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/2 in 17, 0.06, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 113041 (base 6) in base 11?\nAnswer: 735a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000015836 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -781113 = -13278897\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-3) + 1 - 0. Suppose n*m = -a - 773 + 2577, -2*m = 5*a - 9020. Is a - (8\/(-2) - -7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*t**2 - 4*t**2 + 2*t**2)*(0*t + 0*t - t) - t**3 + 2*t - 2*t)*(-5 - 3 + 3)*(-t + 3*t + 0*t).\nAnswer: 30*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 2*c**3\/3 - 5*c**2\/2 - 30*c. Let r = 8 + 4. What is the units digit of y(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*d = 230 - 90, 0 = -2*d - 8. Calculate the highest common factor of 1065 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -2.5.\nAnswer: -1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*t - 250 = 13, -q + 5*t + 70 = 0. List the prime factors of q.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 551 + s - 1188*s**2 - 3*s**4 - 562 + 1200*s**2 to the form j*s + w*s**3 + o + t*s**2 + a*s**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 876, 5352, 17526, 41256, 80400, 138816?\n\"Answer: 643*g**3 - 9*g**2 + 2*g + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7672.852kg in milligrams?\nAnswer: 7672852000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -81238, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 40204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 29*n**2 + 21*n - 7. Let m(o) = -12*o**2 - 9*o + 3. Let c(r) = 3*b(r) + 7*m(r). Let l(j) = 4*j**2 - 8*j**2 + 19*j**2 + 30*j**2. Determine l(c(v)).\nAnswer: 405*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 8:14 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b + 0*b)*(0 + 0 - b**2) + b**3 - 3*b**2 + 3*b**2 + 5*b**3 - b**3 - b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2 - 32 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**3 + 62*f**3 - 23*f**3 - 4*f**3 - 21*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 179. Let c(m) = 15*m**2. What is c(r(g))?\nAnswer: 60*g**2 - 10740*g + 480615","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -2*c - 3*h, -820 + 808 = -c + 2*h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1557 at most as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74375*g**3 - 12*g + 1487.\nAnswer: 446250*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(3\/2))**(8\/17)\/(y**(-4))**(-2\/77) assuming y is positive.\nAnswer: y**(1404\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17138.\nAnswer: 2, 11, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csccsccccccccsc. Give prob of sequence ss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**3 - 4*b - 38*b - b**3 + 0*b**3 to the form x + z*b**2 + c*b**3 + h*b and give h.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632 is divided by 151.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46031 - 507081\/11. Let w = l + 462544\/6875. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 4\/3 (c) -0.5 (d) 1\/2 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8226 + -8225. Let y = 132 + -658\/5. Which is the closest to k? (a) y (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0, 25, -3 in ascending order.\nAnswer: -3, 0, 2\/13, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 12 = -4*h, -6803*u - 68 = -6804*u + 20*h for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -2192.\nAnswer: -43.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (-1 - (-7 + 4 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2646 and 8652?\nAnswer: 545076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11740565 and 905?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 - ((2 - 1) + -1). Let c(i) be the third derivative of -i**4\/24 + i**3\/3 + 3*i**2. Is c(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 5349096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 9*g. Suppose g = 662*s - 657*s - 200. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 + 25*l**2 - 14*l + 18. Let p(a) = a**3 - 8*a**2 + 5*a - 6. Let y(z) = 7*p(z) + 2*s(z). Determine y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (75 + 1)\/4. Which is the third smallest value? (a) t (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 <= 26687\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(6*(sqrt(63) - sqrt(7)))*3*5)**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/20*(-350)\/(-182)*19\/570.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*sqrt(180).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 7*q + 3*q = 0, -a + 4*q = -2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1042*c - 495504 = -1485*c - 4885*c for c.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5 - 22. Let s = 19 - d. Let w be s\/(-1) + 55\/15. Is w at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 13. Let l be g(-7). Let z = 39 + l. What is the remainder when 34 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(38\/(-24))*(113\/(-3164))\/((-4)\/(-98)).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*5 + sqrt(175) + 4 + sqrt(175))**2*2.\nAnswer: 560*sqrt(7) + 17182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:22 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j**2 - 140*j + 4. Let p(k) = -k. Let g(s) = -4*p(s) - x(s). Let r be g(13). Solve r*o - 6*o = -15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 5*j - 315. Let d = j + 64. What is the closest to 1\/3 in d, 5, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 962*k**3 + 3*k - 957*k**3 - 960*k**3 + 3880*k**3 - 1007*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.8, -0.5, -3, -0.2, 1 in decreasing order.\nAnswer: 3.8, 1, -0.2, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7\/4)*(o*o**(-1))\/o)\/(o**11\/((o\/o**(9\/7))\/o)) assuming o is positive.\nAnswer: o**(-421\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -657, -1359, -2051, -2727, -3381, -4007, -4599?\nAnswer: -5151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*i - 5426 = -110 - 24605 - 21452 for i.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 79248*l - 392 = -79242*l, 0 = 5*q + 16*l - 396 for q.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 5:07 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -10751976 less than -10752010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 406237 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 s when three letters picked without replacement from {s: 2, y: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -15*m**3 - 4*m**2 + 5*m + 4. Let l(k) = -47*k**3 - 11*k**2 + 14*k + 11. Give 11*f(r) - 4*l(r).\nAnswer: 23*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235978 by -2.\nAnswer: -117989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216244936 divided by -172.\nAnswer: -1257238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4) + 1)\/(-4).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83612 - -70?\nAnswer: -83532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -26, 2, -2\/21, 21, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 7:32 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49109*q**4 - 224*q + 9.\nAnswer: -589308*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 68 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4 + 19938*a**3 + 3762*a**2 + 5*a wrt a.\nAnswer: -24*a + 119628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + 3*h**4 + 2*h**4)*(-1 - 1 + 4) + 2*h - 2*h + 2*h**4 + (5*h**4 - 10*h**4 - 3*h**4)*(-2 + 4 - 4) + h**4 - h + h - h**2.\nAnswer: 21*h**4 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*a*s**3 + 9*a*s**2 + a - s**3 + 2*s + 246 wrt s?\nAnswer: 852*a*s + 18*a - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12546 and 1329876.\nAnswer: 1329876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2 + (0 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + w = -1380, w + 4 = -0. Suppose 1256 = 8*f - g. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2)*(6 + -640) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14502606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*x + 130 = 414*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s. Let u = 560 + -559.8. Let i = -0.16 - 0.14. What is the closest to -1 in u, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + o. Let f be 36 - 38 - 5*4\/(-4). Let m(b) = 6*b**2 + 3*b. What is f*x(h) - m(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**4\/3 + 8*j**3 - 154*j**2\/3 - 222. Suppose f(m) = 0. What is m?\nAnswer: 0, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -14. Let u be 2 + (a - 0 - 0). Suppose h = u*h - 25. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -170 - 633?\nAnswer: -803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a gram in milligrams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - -2*sqrt(1573)*5)**2 - sqrt(1573) - (0 + (sqrt(1573) + -1*sqrt(1573) - sqrt(1573))).\nAnswer: 190333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*r - 7214 = 0, -2*m = 5*r - 2722 - 890. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 232 - 15298b?\nAnswer: -152759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-5 - (5 - 1934)). Suppose -2*h + 4*b + u = 555, 3*h = b + 2049. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255343 (base 6) to base 13\nAnswer: -a773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1\/4)*n**(-1\/2))\/(n\/(n\/((n\/n**(-2\/3))\/n))*n)**(-39) assuming n is positive.\nAnswer: n**(265\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = s + 16. Let n(v) = 159*v - 19. Is n(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -2*k. Let y(a) = a**3 + 3*a**2 - 2*a + 4. Let m be y(-3). Let v = -6 + m. What is the remainder when v is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -350, -730, -1120, -1526, -1954, -2410, -2900, -3430?\nAnswer: -4006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 8*p + 4. What is the least common multiple of h(6) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.6, 2\/5, 1\/7, -4, -191 in ascending order.\nAnswer: -191, -4, 1\/7, 2\/5, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 270?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11620 - 1396. Does 144 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 16*b**3 + 11*b**2 + 6*b - 50. Let j(d) = -3*d**3 - 2*d**2 - d + 10. What is -11*j(z) - 2*s(z)?\nAnswer: z**3 - z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -1, 0.1369, 0.2, -1\/338 in decreasing order.\nAnswer: 0.2, 0.1369, -1\/338, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 124395 divided by 24879?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 200*c**3 + 25*c - 215. Let q(r) = -25*r**3 - 3*r + 27. Let n(t) = -3*j(t) - 25*q(t). Differentiate n(s) wrt s.\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2728 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202890 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -119*y + 19. Determine z(1).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.51 + -117.\nAnswer: -117.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -298411?\nAnswer: -1\/298411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h - 1. Let x be 10\/3*(-18)\/(-5). Suppose 0 = -3*l + x - 3. Suppose -b + 4 = l*b. Give p(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 10385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*q**3 + 22*q**2 + 16*q - 8.\nAnswer: 2*(q + 2)**2*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49700020, 99400041, 149100062, 198800083, 248500104, 298200125?\nAnswer: 347900146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38698097, 77396188, 116094279, 154792370, 193490461?\nAnswer: 232188552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2517\/10036 - 2\/2509. Let q(m) be the second derivative of -11*m - w*m**4 - 3\/2*m**2 - 1\/20*m**5 + 0 - 1\/6*m**3. What is q(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 3*o**2. Let l be i(3). Let u(s) = -s + l*s + 4 + 0*s. What is the units digit of u(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 13376.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4)*1\/(-5). Let k be (15224\/(-726) - -21)\/(1\/42 - 0). What is the second smallest value in 2, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - n**2 - 1 + (-4*n**2 + 4*n**2 - 2*n**2 - n)*(11 + 3 + 5).\nAnswer: -39*n**2 - 19*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**5\/60 - 7*f**4\/24 - f**3\/3 - 11*f**2. Let z be t(-6). Factor 1\/5*v**z - 1\/5*v**3 + 0 + 1\/5*v - 1\/5*v**2.\nAnswer: v*(v - 1)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -76*y. Let p(q) = 3*q + 1955. Determine t(p(x)).\nAnswer: -228*x - 148580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2094047\/131 - -15985. Is o smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwt when three letters picked without replacement from {l: 4, w: 1, e: 1, x: 2, t: 1, b: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1751*w - 11 - 1750*w - 15)*(3*w**2 + 2*w**2 - 6*w**2).\nAnswer: -w**3 + 26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11198232587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 46604671 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 226 + 141?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aya when three letters picked without replacement from yakaaklyyyaayakayaky?\nAnswer: 49\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 869\/1849, 1, 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 258*h**2 + 1245*h + 5110. Determine l(253).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*i + 94. Suppose 0 = -5*g - 3*x + i, 9 = 4*g + 5*x - 18. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168912 and 139472?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = j + 658593 - 658338, -2*n + 99 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 245238*q + 4168179.\nAnswer: 3*(q + 17)*(q + 81729)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.3 - -1.7. Let k = n - 15.3. Let y = k + -3.7. What is the smallest value in -3\/2, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158*n**3 - 525*n**3 + 175*n**3 + (2*n + n - 2*n)*(4*n**2 + 2*n**2 - 5*n**2))*(2*n**2 + 0*n + 0*n + (2*n + 0*n + n)*(1 + n - 1)).\nAnswer: -2535*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9596 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 2*u - 1. Let l(w) = w**3 + 12*w**2 + 18*w - 2. What is -l(g) + 2*r(g)?\nAnswer: -g**3 - 10*g**2 - 22*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -1\/2, -1, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4170641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -2\/37, -0.003, -3?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29872338893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19\/2, -5\/2, -3, -2\/7, -103, 51?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(13) + 3 + (sqrt(13) - (2*-1*sqrt(13))**2).\nAnswer: -49 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*w + 7. Let p = -3 + w. Let c(u) = -15*u**p - 3*u - u + 4*u. Let m(d) = 2*d. Calculate m(c(k)).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 1469?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(209)*1)\/sqrt(11)*2.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1222\/(-104) - (1 + ((-999)\/372 - 42\/651))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1841*z - 1844*z - s - 47, 3*s = 12 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e9 + -5e?\nAnswer: 28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 600355 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11317174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 357457897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 209147904 divided by -576?\nAnswer: -363104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/2 + 6\/(-870). Let t be 4\/(-6) - 15062\/(-2610). Let p = n - t. Calculate the common denominator of -49\/8 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a - 1 + 2*a**2 - 1\/3*a**3 - 1\/6*a**4. Let h(b) be the first derivative of k(b). Determine o, given that h(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1932 + 3*q**3 - 970 - 967 + 6*q**2 - 2*q. Let j(t) = 2*t**3 + 3*t**2 - t - 3. Determine -5*j(l) + 3*s(l).\nAnswer: -l**3 + 3*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5373713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-624))\/((-36)\/272 + 16\/(-136)). Which is the smallest value? (a) t (b) 3 (c) -0.5 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -240065?\nAnswer: 240065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y*y**(-4\/7))*y*y)\/(y**(5\/2)\/y)*y\/(y**5*y)*(y\/(y*y\/y**4))\/y)**(2\/53) assuming y is positive.\nAnswer: y**(-27\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*c = 1 - 9, 4*k + c = 8. Suppose 22 = k*n - 0*n. Let f = -37 - -67. Calculate the remainder when f is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1700) + sqrt(1700) - sqrt(1700))*5 + -5*(sqrt(1700) - (sqrt(1700) + 0))**2.\nAnswer: -10 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + l = 173078 + 78372, -2*f + 4*l + 125734 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.623 - -0.923. What is the closest to 2\/5 in -4, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + l = 0, 6*l - 2*l = 5*x - 11. What is the units digit of (-18)\/x + 8 + -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8447, -33888, -76287, -135644, -211959, -305232, -415463?\nAnswer: -542652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 3*k**2 - 2*k + 4. Let t = -3 - -7. Calculate the smallest common multiple of t and v(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (6 - (4 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1441599 or -1441598?\nAnswer: -1441599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + 2 + 6*z**4 + 0*z**2 + 3*z**3 + z**2 - 8*z**4 to b*z**3 + i*z**2 + d*z**4 + q*z + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/8490*8\/(16\/(-3)). Let g = s + 3394\/1415. Factor 4\/5*w**5 + 8\/5*w**2 + 24\/5*w**3 - 4*w**4 - 28\/5*w + g.\nAnswer: 4*(w - 3)*(w - 1)**3*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -2. Let n(u) = u - 1. Let j(h) = -h - 1. Let f(v) = 6. Let d(c) = f(c) + 3*j(c). Let m(r) = g*n(r) + d(r). Differentiate m(z) with respect to z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z. Let q be 0 + (-2)\/2 + 1. Suppose -2*x - x + 6 = q. Let c(j) = -x*j**2 + 2*j - 2*j. Calculate m(c(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-124)\/(-20) + (-8)\/(-10). Suppose 5*n + 2*v = 1047, -2*n + r*v - 7*v = -417. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/124498091 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10 = 5*p, 2*i - 25 + 3 = -4*p. Suppose -3*v + i = -1. Suppose 4*s - 2 = 2, 0 = -v*y - 2*s + 20. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 19 + 274*w**3 + 16.\nAnswer: 274*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-2\/19)*o\/(o*o**(-2\/7))*(o**(-4)\/o*o)\/(o*o*o*o**(3\/11)*o*o))\/((o*(o\/(o**(2\/5)*o)*o*o)\/o)**(-15)*(o\/o**(-1))**(-44)) assuming o is positive.\nAnswer: o**(153788\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 279 + -271. Solve 0 = 6*l - x*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -1894, 0, -0.4, -1\/8, -0.169?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11.5, 4, -5?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3283)\/335)\/(6\/10)*-3.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 21*y + 21. Let w be a(-6). Let g = -86 - w. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 0, -14, 11, -8808 in increasing order.\nAnswer: -8808, -14, 0, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 123028, 123021, 123002, 122965, 122904, 122813, 122686, 122517?\n\"Answer: -f**3 + 123029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290128 - 0.5.\nAnswer: -290128.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -1 + 0 - -3. Let h(b) = -3*b**2 + 3*b**g - b**2. Let y(c) = 6*c**2 - 5*c**2 + 0*c**2. Give h(y(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-2)*(-8)\/(-12). What is the nearest to 1 in b, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x - 8*x - 3*x + 49*x - 26*x - 6*x - 375.\nAnswer: -2*x - 375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 8. Let j be a(-13). Solve -j*i - 8 = 4*w, -2*i - w = -5*w + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-136)\/(-22) - (-12)\/(-66). Suppose r*z + 784 = 4396. What are the prime factors of z?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k - 2*k)*(-3*k**2 + 2*k**2 - k**2) + (-2*k + 1 - 1)*(18*k**2 + 18*k - 18*k).\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.704999 rounded to two dps?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -217 - -198.8. Let n = -18 - h. Let i be (2\/3)\/(14\/(-9)). Which is the closest to 1? (a) n (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 - (-2 + 1) - (-443 + 452).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 209*u + 21. Let z be j(7). Let s = -805 + z. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 - 4*z**3)*(-2*z - 2*z + z) - z**4 + 6*z**4 - z**4 in the form y*z + h*z**2 + d*z**3 + v*z**4 + j and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w*w**(-1\/4)\/w*w))**(5\/8)\/(w**(-1\/4))**(-4\/19))**14)**46 assuming w is positive.\nAnswer: w**(71323\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g**2 - 11*g - 22. Let t(k) = -3*k**2 - 4*k - 8. Let a(p) = -4*i(p) + 11*t(p). Let f(v) = 4*v + 5. Determine f(a(r)).\nAnswer: -4*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10544 (base 6) to base 13.\nAnswer: -8b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124343447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 3*u - 2*u. Let x(f) = 13847*f**2 + 1708*f - 2989. Let k(a) = -65*a**2 - 8*a + 14. Let n(m) = -427*k(m) - 2*x(m). Give n(o(l)).\nAnswer: 61*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*11 - 309445\/9330)\/((-2)\/804)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67738 is divided by 22544.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 63816a (base 14) to base 13\nAnswer: 90a4b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11802, 23605, 35408, 47211, 59014, 70817?\nAnswer: 82620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12327, -22389, -32451, -42513, -52575?\nAnswer: -62637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10525 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 - 174135*u**2\/2 + 1392936*u - 5571552.\nAnswer: 3*(u - 116074)*(u - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -227, -241, -257, -275, -295?\n\"Answer: -g**2 - 11*g - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3 + sqrt(128) + -1 + -5 - ((sqrt(128) - (sqrt(128) + 1 + -4 + sqrt(128))) + -1 + sqrt(128)*-1))**2 + 4)*-1.\nAnswer: -1277 + 528*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 849, 898, 933, 948, 937, 894?\n\"Answer: -q**3 - q**2 + 59*q + 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 2*p**2 + 2*p**2)*(-p + 0*p + 3*p) + (10*p + 1 - 1)*(3 - 3 - 1)*(p + 3 - 3 - 2*p**2).\nAnswer: 22*p**3 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3 - 6. Suppose w = -x*h + 24, 5*w - 67 = -h - 3. What is the third derivative of -6*k**2 + w*k**2 + 7*k**2 - 11*k**3 wrt k?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 22. What is the nearest to 0.1 in n, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-20) + (-206)\/(-10). Suppose 2*b - q = -b. Put b, 2, -4 in decreasing order.\nAnswer: b, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2511 and -1\/837.\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + u**2. Let n be r(-1). What is the highest common factor of 4 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-81*l + 114*l + 204*l + 63*l).\nAnswer: 300*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11600 and 2465.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4 - 18*z + 3*z - 1138*z**2 + 1127*z**2. Suppose 0 = 5*n - 4*n + r + 1, -r = -2*n - 17. Let v(s) = 5*s**2 + 7*s + 2. Give n*p(b) - 13*v(b).\nAnswer: b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*p**3 - 3*p**2 - 205*p**3 + 3*p**2.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -549*s - 332. Let p be u(-5). Suppose -p = -2*z + 5*v, -2*v + 590 = 2*z - 1816. What are the prime factors of z?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41.4 - -41.587. Let m = -0.17879 + j. What is m rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40214141 + 0?\nAnswer: 40214141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-20.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57600 and 5850?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r - 7*r + 29 = 0. Solve 31*g + r = 30*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 3\/8 (c) -7.77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + p - 2. Let x(r) = -r + 1. Suppose 15 = -7*v + 12*v. Suppose -m + 15 = -v*i + 2, -5*i = 3*m + 17. Calculate m*d(z) + x(z).\nAnswer: -z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n = 9. Let o = 11 - n. Suppose 0 = -2*h + o*j, 4*h + 6*j - 3*j - 14 = 0. Solve 4*l - 16 = -2*u, -5*l + 5*u = -3 - h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31259.39 millimeters to centimeters.\nAnswer: 3125.939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 512272 at least as big as 512273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 1:25 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(132))\/(1*sqrt(1584) + sqrt(11)).\nAnswer: -4 - 4*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**1*s)\/s**(-3)*(s**1)**(2\/23)*((s**0*s)**(-17))**27 assuming s is positive.\nAnswer: s**(-10463\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -746 - -748. Which is the second biggest value? (a) 0.3 (b) t (c) 5 (d) -5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 692964 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 + 20*w**2 - 12*w + w**3 - 21*w**2 to d + j*w**2 + h*w + q*w**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11565 is divided by 203?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 29*h**2 + 73*h - 7. Calculate i(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -1\/15310516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4 - 10846*m**3 - 2140126*m**2 - 108627722*m - 106498440 = 0?\nAnswer: -5220, -101, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v + 1. Let w(j) = 2*j. Let b(y) = -f(y) - 4*w(y). Let d(s) = 3*s + 2. Let p(m) = 4*b(m) + 2*d(m). Let o(z) = -41*z + 2. Calculate p(o(a)).\nAnswer: -82*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5825 - 5866) + (-20 - 1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-184)\/20 + 39\/195\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - -54.7214\nAnswer: 82.7214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 2128.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*b + 26. Suppose -b*c + 11*c = -38. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400, 1199, 2532, 4399, 6800?\nAnswer: 9735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, p: 8}. What is prob of sequence uppp?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2. Let r be b(2). Suppose q = -r*q + 60. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/58 and -25\/638.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00952373 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 16*x + 11. Suppose 5*u - o - 69 = -4, -2*u + 26 = 3*o. Give s(u).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-552) + 57*(-15)\/(-108).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaqykyayqqyaaak. What is prob of picking 2 y and 1 a?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9461129 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m - 4. Give p(10).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99\/4 - 25. Let t(q) = -9*q**3 - 2*q**2 + 1. Let p be t(-1). Suppose -p*w + 15 = -3*w. Which is the second biggest value? (a) 3\/2 (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/2 + (-228)\/152 + 15160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 720589*1.1\nAnswer: 792647.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.1308ng in grams?\nAnswer: 0.0000000821308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 5*m**2 + m - 2. Let c be a(5). Suppose 0 = -3*u + 4*x - 6, 0 = -5*u + c*x - 21 - 0. Let o = u + 9. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - 4*m - 3*m**3)*(-m - 3*m + 3*m) - 325*m**4 + 148*m**4 - 364*m**4 in the form n*m**2 + a*m**3 + y + i*m + t*m**4 and give t.\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 10 - -4)*49\/(-14)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:37 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771850387?\nAnswer: 7, 11, 43, 233117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 14 = 2*w + n - 13, -n = 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 876460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 220558, 220686, 220814?\n\"Answer: 128*p + 220430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-43)\/(((-7)\/(-28))\/(2\/(-4)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -44 and 970.\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 341.8327 + -0.0327. What is t rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2717497538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 38*n**2 + 91*n - 17. Let u(t) = -13*t**2 - 30*t + 6. Let b(a) = -6*g(a) - 17*u(a). What is the second derivative of b(q) wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344384720?\nAnswer: 2, 5, 617, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -77495.1082057?\nAnswer: 77494.9082057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 35149*f + 17574*f + 17575*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 3. Let p be x(6). Suppose -l = 2*k - p, -k - 3*l = -2*l - 5. Suppose -14*c + k*c = -60. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -145316125 - -14?\nAnswer: -145316111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 24 = -2*w, -5*k = -k + w + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45399 by -1.\nAnswer: 45399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 137293?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - -26)\/(-15) + (6 - -1). Let v(q) = 6*q**2 - 38*q + 9. Calculate v(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**2 + 2*j - 1. Let w be ((-2)\/6)\/((-3)\/27). Let c = 2 + w. Suppose c*y = 2*k - 2, k - 1 = -0*k + 2*y. Calculate d(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 7 - r - 4 + 3 + 2*r + 2*r - 1 + 66 - 10*r - 66 - 2*r + 2 - 2 + (-3 + 3 + 2)*(0*r + 4*r - 2*r) to g*r + v and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmnmnmmnmn. What is prob of picking 3 n and 1 m?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3)*(-309)\/(-2) + -3. Let q = 122 - u. What is the remainder when q is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3970 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10103233 (base 4) in base 12?\nAnswer: -a267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2414.64209 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11928 - -47713\/4. What is the closest to 0 in h, -6, 6\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 46*y - 137. Give k(-10).\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, a: 6, u: 4}. What is prob of picking 2 w?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 4, -0.7, 1\/3, -1.47, -4.4?\nAnswer: -1.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16772 is divided by 643?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -29.\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2919)\/47538 - 4*2\/76\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2645480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5017 and 346?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2205) + -1)*1.\nAnswer: -1 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 2*l + 0*l)*((5 - 3 + 0)*(-1 + 1 - 1) + 3 + 2 - 3 - 21 + 41 - 3) to y + r*l and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myyyybdyfyfjmyybyy. What is prob of sequence dmb?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 1056675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/75)\/11*1445\/17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 41, 96, 173, 272, 393?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 15) + 6 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 124*b + 6. Let k(i) = 5*i**2 - 217*i + 10. Let n(z) = 4*k(z) - 7*q(z). Let p(c) = 2*c**2 + 3. What is 6*n(s) + 5*p(s)?\nAnswer: 4*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132238\/19 - 6960. Which is the closest to 1? (a) 0.052 (b) -2.3 (c) -0.3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 50400 = 3*a. Suppose -3*v - v - a = 0. What is v rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5317524, 10635018, 15952512, 21270006, 26587500, 31904994?\nAnswer: 37222488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-1296)*-24*63\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360*i**3\/7 + 4*i**2\/7 + 360*i\/7 - 4\/7 = 0. What is i?\nAnswer: -1, 1\/90, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b*q**2*z**4 - b*q**2 + 4*b*z**3 + q**2*z**4 - q**2*z - q**2 + 13*z**2 wrt z.\nAnswer: 72*b*q**2*z + 24*b + 24*q**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 1951442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -300 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 - 3*b + 3*b + (-77 + 12 - 53)*(-2*b**4 + 1 - 1)*(b - 2*b + 25*b).\nAnswer: 5662*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q = -44*q. Let y(z) be the third derivative of 1\/240*z**6 + 0*z - 1\/420*z**7 + q - 1\/12*z**4 + 0*z**3 - 10*z**2 + 1\/30*z**5. Factor y(v).\nAnswer: -v*(v - 2)*(v - 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-10)*(-4)\/(-28)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - o - 3*o)*(6 + 4 - 3) + o + 3 - 3 in the form p*o + c and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5.5 (b) -0.4 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1590, -1581, -1572, -1563?\n\"Answer: 9*i - 1599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:06 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**4\/12 - u**2 - u. Let w = -94 - -93. Let z(d) = d**2. Determine w*a(h) + 3*z(h).\nAnswer: 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -5 - 25. What is the remainder when 18 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40476 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -199\/2 + 99. Which is the closest to 3? (a) 3 (b) j (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b + 0*b - 5*b - 9)*(-4 + 5 + 1)*(0 - 2 + 4) to i + o*b and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.559 + 12.559. What is the nearest to -3\/2 in d, 0.2, 1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. What is the least common multiple of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4469469 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 178*m - 97*m - 90*m.\nAnswer: -9*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110111 (base 2) in base 8?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 0*s**3 - 1\/15*s**6 + s**2 + 0*s + 2\/15*s**7 - 7\/15*s**5 + 1\/3*s**4 + 0. Factor n(w).\nAnswer: 4*w*(w - 1)*(w + 1)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.4 - 92.6. Let d = 114.57 + n. What is d rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**3 - 4*x - 3. Let r = 6 - 11. Let c(i) be the second derivative of 1\/5*i**5 + 0 - 1\/3*i**3 + 3*i - i**2 + 0*i**4. What is r*c(t) + 3*y(t)?\nAnswer: t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -5*j**4\/12 + 5*j**3\/3 - 5*j**2\/2 + 10*j + 1. Let y(a) be the first derivative of g(a). Find x such that y(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**7\/7 - 25*k**5 + 118*k**3 + 186. What is the third derivative of s(p) wrt p?\nAnswer: -120*p**3 - 3000*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 107 + 107 in the form g*b + o and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:53 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 9*s + 4. Suppose 0 = 4*v + 44 - 172. Suppose -v - 16 = 6*a. Give z(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1. Let l(g) = 5*g - 3. Let s(f) = -11*f + 7. Let k(i) = 9*l(i) + 4*s(i). Give -5*k(t) + 5*y(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 - 2*g + 2. Let v(c) be the first derivative of 4*c**3\/3 - 3*c**2\/2 + 2*c - 70. What is -5*s(q) + 4*v(q)?\nAnswer: q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18157384 - 9*d**2 + 18157382 + 20*d**2 - 24*d**3 to the form i + l*d + u*d**3 + k*d**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 5*o**2 - 8*o + 12. Let p be s(2). Solve 0 = 3*v + 3*r - r + 4, -r = -v - p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 388.0000109 - 388. Round l to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 98 = m, -6*m - 2*v = -3*m - 305. Suppose -13 = -3*o + m. Suppose -y + o = -74. What is the highest common factor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66560000 to the nearest 1000000.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = 11*z - 203. Solve 15*h - 14 = z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159 or 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 118, 243, 368, 493, 618, 743?\n\"Answer: 125*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -18*i**3 + i**2 + 1. Calculate the least common multiple of j(-1) and 105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**0*p**(3\/5)\/p*(p*p**(2\/7))**(-47)*p\/(p\/(p*p**(1\/3)))*p**3*p**(2\/9)*p*(p**3*p*p*p*p)\/p assuming p is positive.\nAnswer: p**(-15521\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -61081, -61184, -61297, -61426, -61577, -61756?\n\"Answer: -p**3 + p**2 - 99*p - 60982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (784\/(-2772))\/((-30)\/(-165))\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -431*n**3 + 115*n**2 + 120*n - 1. What is s(-1)?\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i - 7. Suppose 8*o = 21*o. Suppose u + 20 - 26 = o. Let g(j) = -6*j + 8. Give u*g(d) + 7*v(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4*9.8\nAnswer: -39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 713 + -710. Let p(v) be the second derivative of -1\/18*v**4 + 4*v + 0 + 0*v**2 + 1\/45*v**6 + 1\/9*v**f - 1\/30*v**5. Solve p(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-162)\/(-108)*14\/(-3). Let t(k) = k**3 + 7*k**2 - 5*k - 33. Let l be t(b). Put l, 0, -1 in decreasing order.\nAnswer: l, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8534279ml to litres.\nAnswer: 0.0008534279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8128*i**2 + 17154*i**2 - 8497*i**2.\nAnswer: 529*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 6*t**2 - 4*t - 2. Let j be y(5). Suppose j*l - 2 = 2*l. Find the third derivative of -m**l + 2*m**2 - m**3 + 0*m**3 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 333978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1)*-1*1\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + m + 2. Let c(k) = k**3 + 16*k**2 + 4*k + 19. Let a be c(-16). Let s = -47 - a. Determine p(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1533*f - 442. Let n(p) = -p - 1. Let y(g) = -k(g) - 5*n(g). What is the derivative of y(j) wrt j?\nAnswer: -1528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51962612.\nAnswer: 2, 13, 23, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 11\/(-5) + 2 - (-11685)\/1425. Which is the smallest value? (a) 29 (b) 4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.72 - 87821.\nAnswer: -87834.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*h + 109 + 27, -h = 4*f - 8. Suppose 9*i = -45 + 423. Suppose -416*o + i = -413*o. Calculate the remainder when h is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 12. Solve 3*i + 7 = x, 0 = -2*i - 3*i + 2*x - y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*z + 24, 3*w - 58 = -w - z. Is 13 a factor of 243\/5 + (-9)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/18 and 83\/34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*d + 440 - 0. What is the remainder when 309 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 376077*o**3 - 1117665*o wrt o?\nAnswer: 2256462*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 82 (b) -0.5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161181*h**3*j**3 - 18698*h**3*j + h**2*j**2 + 46*h**2*j + 4*j**3 - 3*j wrt j?\nAnswer: -967086*h**3*j + 2*h**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155693.73 months to millennia.\nAnswer: 12.9744775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(1*8\/156). Suppose 5 = -3*d + 4*d - 4*k, 0 = -4*d - 3*k + p. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 3\/20*i**5 + 0*i**3 + 4 + 0*i + 0*i**2 + 0*i**4. Suppose c(v) = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 323328196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.087598504 to three decimal places.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.7 + -7. What is the nearest to t in -1, 3, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**5\/160 - 5*s**4\/32 + 3*s**3\/8 + 2*s**2 - 269*s. Let m(q) = 0. What is q?\nAnswer: -16, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, -17, -6, 19?\n\"Answer: 7*r**2 - 24*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/34? (a) -4 (b) 6113 (c) 4 (d) 0.1 (e) 1\/4 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 18*k - 20. Suppose -k*g + g + 2 = j, 5*j + 4*g - 10 = 0. Find o, given that 12\/11*o + 18\/11 + 2\/11*o**j = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/63 - 53\/315. Let u be (2 - 4)\/(-16) + (-26)\/(2080\/90). What is the closest to u in z, 3.5, 3\/8, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2269110 and -47\/15.\nAnswer: 2269110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 7 - 8 = 0. Let d be m - 0 - 3 - -7. Suppose 3 = d*f - 2*f. Is 1 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*(sqrt(84) + sqrt(84)*-1 + sqrt(84)))\/((sqrt(12) + (sqrt(12) - (sqrt(12) + -6*(sqrt(12) - (sqrt(12) + sqrt(12)*-1)))))*4).\nAnswer: -5*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25248894291.6 and 656?\nAnswer: 25248894947.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.6 and -24?\nAnswer: -422.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.42 (b) 0 (c) 0.2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (68*(-69)\/(-21114))\/(8\/(-54))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 + 5*x**2 + x**2)*(x**2 + 13*x**3 - x**3 + x**2).\nAnswer: 12*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4996352 divided by -7424.\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3637 + 750. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 50.9, 3, -4, 1.13, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h + 7519 = -311*h + 19399 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8596440 divided by -1719288?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 11. Suppose 4*u - p = -4, -2*u + m*p = -4*p + 16. Let r(x) = -x**2 - 10*x - 22. Let y be r(-6). Solve -y = -2*k - d, d + 2*d = u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -42*q**2. Let n(a) = -a**2 - 4*a**2 + 5*a**2 - 4*a**2 + 0*a**2. What is n(u(c))?\nAnswer: -7056*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53092210 to the nearest integer?\nAnswer: 7286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 13181487.\nAnswer: -5, 3, 13181487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(432)*-3)**2 + -4*(sqrt(9)*4)\/sqrt(3) + -4.\nAnswer: -16*sqrt(3) + 15548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + c + c)*(17*c - 3*c - 16*c - 2*c - 2*c + 3*c + 0*c - 4*c + 3*c + (3 - 3 - 2)*(0 + 0 + c)).\nAnswer: -12*c**2 - 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 + 0 = 0. Solve -4*u - 4*m - 16 - i = 0, m = -1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**1\/l*l**(-1\/8)*(l\/l**(1\/3))**23)**49)**(22\/7) assuming l is positive.\nAnswer: l**(29953\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6731*b + 60688. Give w(-9).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -415*g**2*j**4 - 224*g**2*j - 39*j**4 - 221*j**2 wrt j?\nAnswer: -9960*g**2*j - 936*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 630*m + 630*m. Let l(s) be the second derivative of 0 - s + 0*s**3 + 1\/12*s**4 + 0*s**2. What is l(a(q))?\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/3 + 2365*a - 12404\/3.\nAnswer: -(a - 1772)*(4*a - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from zekzpepeapperpkpeee.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 + (-2 - (-35)\/15). Let t be -1*2*(-2 - m). Let f be 1*t*(-12)\/(-16). Solve 0 = -f*s - 9, i - 4*s = 14 + 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 1099\/54, -2, -4, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23802602791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**(-1\/8)*l**(-5)*l\/(l**(-5)*l*l) assuming l is positive.\nAnswer: l**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/95)\/(16\/10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3222.02 * 0.02.\nAnswer: -64.4404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 322.\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3 + 292044*o**2 + 584079*o + 292038 = 0 for o.\nAnswer: -97346, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -1)\/(3\/6). Suppose 3*r + 5 = -2*j - 2*r, 0 = 4*j - b*r - 4. What is the remainder when 44 is divided by (25 + j)*(-6)\/(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5865\/(-48990)*(-69)\/17 - 2\/4.\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*b + 342, 5*b = -7*r + 5*r + 356. Let a = r + -170. Let q(i) = -i**3 + 4*i**2 - 4*i + 3. Determine q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -4, -3, -6\/13, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -13*q**2 - 6*q + 1. Let u(i) = -63*i**2 - 28*i + 5. Let v(a) = -29*d(a) + 6*u(a). Calculate v(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -3*r**4\/4 + r**3 + r. What is the second derivative of w(t) wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + -3 + (-7803313)\/(-909909). Let l = 2\/11817 - m. Calculate the common denominator of l and 107\/306.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*n**4 - 3253*n**3 + 2*n**2 + 22326889.\nAnswer: -80*n**3 - 9759*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p - 7*p + 4*p - 9*p as v + g*p and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. Suppose 4*c - 230 = n - m*n, -3*c - n = -175. What are the prime factors of c?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160920 divided by -90?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/1*(1 + 1). Let n(l) be the second derivative of -l**5\/20 + 5*l**4\/12 + l**2\/2 - l. Calculate the remainder when n(b) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**3\/6 - 11*p**2\/2 + 2*p. Suppose 369*o + 5053 = 1732. Calculate j(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 50 (b) -2\/5 (c) 347\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 398965 and 17395?\nAnswer: 198285605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.73 - -0.27. Sort o, 0.1, -0.4.\nAnswer: -0.4, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2332.366 meters to centimeters.\nAnswer: 233236.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6057 is divided by 1512.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -11447.2 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 4*q - 5*j, -3*q + 6*q + j - 124 = 0. Let i be ((-4)\/30)\/((-8)\/q). Factor -2\/3*z**2 + 0 + i*z.\nAnswer: -2*z*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffs when three letters picked without replacement from {s: 2, f: 3, c: 10}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*c - 105*c + 140*c - 285*c - 186*c to the form v*c + d and give v.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:21 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.3223 - 5.57557. Round i to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10168, 20315, 30454, 40585?\n\"Answer: -4*m**2 + 10159*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 5)\/(-5 - -4). Suppose 2*g + m = 4*g. Suppose g*c = -3*c + 15. Solve 4*i + 7*p = 3*p + 4, 3*i - c*p = 27 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 14 = 10. Suppose -o*b + p = -2708, 3*b + 388 = -3*p + 2419. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*((-314160)\/(-1309) + -5 + -1)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*v - 7\/5 + 1\/5*v**3 + 7\/5*v**2.\nAnswer: (v - 1)*(v + 1)*(v + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*2\/6 - -59. Suppose -6*u + u + o = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104039.\nAnswer: 13, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-2))\/(5 + 47\/(-10)). Solve 0 = -3*o + s*o + 5*y - 14, 0 = 5*o - y - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/19 + 6161410*m**2\/19 = 0 for m.\nAnswer: 0, 3080705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -6 (c) -28.5 (d) 137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 10:35 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407979646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*28\/(-49) + (-1)\/(-2).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8506 and 10.\nAnswer: 42530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27650, -110265, -247852, -440405, -687918?\n\"Answer: w**3 - 27492*w**2 - 146*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 614 - 3039\/5. Let b = -1067 - -3269\/3. What is the common denominator of b and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2 + 120131658*d + 1202634604485747 = 0. What is d?\nAnswer: -20021943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 11. Let g be f(-6). Let m = -683\/2219 + 7\/317. What is the closest to m in -3, 2\/7, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4878*d + 5. Is l(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from pyppppppppppsppppp.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 11:50 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -60. Let i be (-2 + u\/6)\/(2\/(-68)). Is (2\/(-4))\/(i\/73202) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/65 and 101\/2210?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 95 - 20. Suppose -r - n + 4*n + 12 = 0, 0 = 2*r + 2*n - 56. Let g = r - 16. What is the remainder when h is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 47*p**2 + 1. Let v be 1 + 2\/4*4. Suppose -v = s - 4. Let u be h(s). What is the highest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -1, 0.4, 10, -1\/6, -51\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 8:07 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142936, 142937, 142938, 142939, 142940?\nAnswer: 142941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 33*i + 16*i)*(-22*i**2 + 46*i**2 - 26*i**2 + 11*i) as o + l*i**2 + s*i + g*i**3 and give l.\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (226\/452)\/((-3)\/(-114))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1669 - 439*c**2 + 1669 - 6*c**3 as d*c + x*c**3 + j + f*c**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/15)\/(3\/(-10)). Suppose 0 = -u*b - 2 + 34. Find the third derivative of 7*p**4 - 39*p**4 + 6*p**b + 4*p**4 - 9*p**2 wrt p.\nAnswer: -528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 7*x + 8. Let b be (-2)\/(-2 + (-21)\/(-9)). Let g be l(b). Suppose -3 = g*d + w, -9 = 2*d - 4*w - 31. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*i**2 - 179*i + 32*i**2 - 23*i**2 to h + o*i**2 + p*i and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t**2 - 8*t**2 + 44*t**2 - 10*t**2 - 10*t**2 - 2*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**4\/60 - 67*y**3\/15 - 411*y**2\/10 - 4313*y. Solve j(b) = 0 for b.\nAnswer: -3, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -8.2. Let x be (-33)\/(-60) + (-828)\/(-48) + -18. Which is the closest to 0? (a) x (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4607 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59 and 2.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/23 bigger than 219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2549247 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**20*y\/y**(8\/5) assuming y is positive.\nAnswer: y**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16557621 a multiple of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -214216\/9 - -23802. Which is the nearest to 2\/73? (a) k (b) -10 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -32*s**2 - 157*s + 835. Give j(5).\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z - 4*x + 52, 8*z - x = 4*z + 97*z - 45*z + 187 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1709000 rounded to the nearest 10000?\nAnswer: 1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 10. Let c be b(-7). Let i be (c\/6)\/((-6)\/(-45)). Solve -i*l - 2 = -22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 90*m - 44. Let n be y(2). What is the common denominator of (-1785)\/n + 1\/2 and -51\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21 (b) -7.6 (c) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, and 1 s when three letters picked without replacement from {p: 2, c: 7, v: 2, t: 1, n: 1, s: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/4*(592\/72 + (-30 - -22))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 23*x - 13. What is the tens digit of r(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108374?\nAnswer: 2, 7, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1623, -3261, -4899, -6537?\n\"Answer: -1638*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-2)*2\/(-3). Suppose 20 = -2*o + a*j - 7*j, -1 = -o + 4*j. Let u(w) = w**3 + 7*w**2 + w + 10. What is the units digit of u(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*m = -936*m + 2424*m + 182961 for m.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 48*x**3 - 9*x**2 + 21*x + 5. Let n be j(5). What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 3. Let w be d(4). Let g = w + 27. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**7\/2520 + z**6\/80 - z**5\/40 - z**4\/12 + z**3\/3 + 49*z**2. Let v(w) be the second derivative of j(w). What is v(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.6 - -15. Let w = 84 + -82. Which is the second biggest value? (a) w (b) 6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) -1\/2 (c) -3 (d) -300\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - w - 1. What is the units digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -f + 38. Let v(g) = 267*g + 266. Is v(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -11, -15, -21, -29, -39?\n\"Answer: -w**2 + w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**3 + u**2 - 13*u. Let t(d) = -d**2. Let x(s) = -a(s) - t(s). What is the second derivative of x(v) wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (1 - 0)) + (6 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Let y be ((-1)\/m)\/((-2)\/(-48)). Let t = 24 + y. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9))**(-25\/3)*f\/(f**(-2)*f)*f*f*f\/(f*(f\/(f**18\/f)*f)\/f*f) assuming f is positive.\nAnswer: f**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.707 - 0.207. Let k be ((-9)\/6)\/(15\/4). Let c = k - -1. Are q and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*j = 6 + 4, -3*x + 40 = -5*j. Suppose -12 = -9*s + x. Suppose s*y - 15 = 39. Calculate the greatest common divisor of y and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-8)\/96)\/(2\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0.9. Let k = -32 - -97\/3. Let p be ((-34)\/612)\/(4\/(-18)). What is the nearest to 1 in k, l, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -18. Suppose 9 = -l + z. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e8 (base 16) to base 9.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*124.4772.\nAnswer: -746.8632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oolotolgootlttrgro. Give prob of sequence lglo.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*h - 5*x + 18, 5*h + 5*x = 20. Let p(g) be the third derivative of -1\/15*g**h - 2\/3*g**3 + 0*g + 0 + g**2 - 1\/120*g**6 - 5\/24*g**4. Give p(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97861 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**2\/2 + 228. Let x(k) = -4*k + 1. Give 18*i(f) + 4*x(f).\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - g**3 + 0*g**3)*(-562 + 562 - 119*g**2) - g**5 - 3*g**5 + 6*g**5 - g**4 + g**4 + g**5.\nAnswer: 122*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 10, -3 in decreasing order.\nAnswer: 10, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4991, 67, 0.22, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 5*m + 1. Let s(b) = -b**2 - 5*b - 2. Let z(f) = -2*g(f) - 3*s(f). Suppose -2*h - 4*o = 0, o = -2*h - o + 4. Let k = h + -8. Calculate z(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o + 20. Give v(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -0.07 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -0.2, -7\/3, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10018 = 2*i - 3*n, i = 3*i - 4*n - 10014. Let q be ((-3)\/(-5) - i\/25)*1650. What is q rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28032 divided by 1168.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29632 is divided by 745.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 195*w**2 + 605 - 3*w - 1184 + 594 - 117*w**2.\nAnswer: -312*w**2 - w + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 2619a11c?\nAnswer: 2619a11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 35*t**2 - 42*t + 7. What are the prime factors of i(-34)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.047328 millilitres to litres.\nAnswer: 0.002047328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 102*x - 200.\nAnswer: -(x + 2)*(x + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31749 + -10408. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -338735604, -338735603, -338735602, -338735601?\nAnswer: -338735600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1577 - 1617 = 4*y - 2*v, y + 4 = -v for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 20*d**3 - 4*d**2 - 15*d + 28. Let u(y) = 20*y**3 - 3*y**2 - 14*y + 21. Determine -3*c(t) + 4*u(t).\nAnswer: 20*t**3 - 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1407, 1383, 1333, 1245, 1107?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -615643*r**2. Let q(d) = -15*d. Calculate q(n(x)).\nAnswer: 9234645*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4274?\nAnswer: 2, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37600 and 47660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 104*n + 1. Let p be w(-4). Let m = p - -626. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4732 and 4956?\nAnswer: 837564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2891605671.\nAnswer: 3, 229, 659, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - w = -3*p - 5339, -4*p - 5*w + 5351 = 0. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3005512, 3005505, 3005494, 3005479?\nAnswer: 3005460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2636*f = -2644*f + 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(5\/7))\/(l**(1\/7)*l))\/(l**(1\/4))**39 assuming l is positive.\nAnswer: l**(-297\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9\/14942 + 59705\/104594. Let j = 2 - 2. What is the closest to j in -4, a, 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 597 = 483. Is q a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 4104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((5 - 0) + -32 + 14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -256331 divided by 2348\nAnswer: -256331\/2348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*p**3 - 6*p**3 + 34*p**2 - 12*p**2 - 2*p**3 in the form q*p**2 + v*p + t*p**3 + f and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32043635 - 144?\nAnswer: -32044112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (124\/(-93))\/(8\/414*-3) is divided by (34\/(-8))\/((-2)\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-26)*n\/((n**(3\/5)\/n)\/n*n)*n**(-5)\/n*((n*(n**1*n)\/n)**(1\/2))**(-1\/46) assuming n is positive.\nAnswer: n**(-1063\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 301 - 85. Suppose t = 9*s - 72. What is the highest common factor of s and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052 - 0.4953?\nAnswer: -0.5473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - 5660*i + 8*i**3 + 0*i**3 - 4*i**3.\nAnswer: 4*i**3 - 5660*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 + 57*o**3 + 291*o**2 - 345*o.\nAnswer: -3*o*(o - 23)*(o - 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/4 + -25 + (-2266)\/(-88). Put r, 2\/9, -10, 0 in increasing order.\nAnswer: -10, r, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 729 + -729.1. Let r = -100\/3 + 65\/2. What is the nearest to d in 4, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6422142865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/45)\/(-1 + 14\/10). Do 22 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 9*x - 6. Let u(h) = -h**2 + 1. Let i be u(-3). Let c be o(i). Let k(s) = 2*s**3 - 2*s**2 + 2*s + 1. What is the tens digit of k(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -z - z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2 - 6. Suppose -2 = -2*f + 6. Let d(v) = 5 - 5*v**2 + f*v**2 - 3*v**2. Calculate -7*d(w) - 6*p(w).\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-84550)\/5340)\/(5\/(-24))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -47*i**2 + 18*i + 1. Let o be y(2). Let x = 113 + o. Which is smaller: -40 or x?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 143*h - 287. What is the least common multiple of 145 and w(-69)?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215265553 to the power of 1\/2, to the nearest integer?\nAnswer: 14672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 35 = 3*o, -4*l - 9 = 7*o - 12*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012220100212 - 1?\nAnswer: 1012220100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**3 - 9*q**2 - 5*q - 5. Let o(u) be the first derivative of 5*u**4\/4 - 13*u**3\/3 - 7*u**2\/2 - 7*u - 1. Let s(n) = -7*m(n) + 5*o(n). Factor s(d).\nAnswer: 2*d**2*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -13, -21, -31, -43, -57, -73?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159117 - 159060.999904. Let i = 56 - f. Round i to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from zhoodbbkhbh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/7))**(1\/38)*((v**(-1)\/v)\/v)**(2\/79))**(-17))**(-1) assuming v is positive.\nAnswer: v**(-12223\/10507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4))**(-25)*(g**(-1\/4)*g)**42)**(-4\/31) assuming g is positive.\nAnswer: g**(-526\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -498.36 and 2204.\nAnswer: -1098385.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 1392?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = 5*x + 1, x = -3. Let k be (4\/(-4))\/(c\/63). Suppose -2*l + f = -l - k, 3*f = 0. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002353 rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -0.1, -4, -6, 21, -1.396 in increasing order.\nAnswer: -6, -4, -1.396, -0.1, 5\/2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u + 32854 = 3993. List the prime factors of u.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -43*l**2 + 511*l - 1126. Give s(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010111001101000000101 (base 2) to base 10.\nAnswer: -2857477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5373 and 252099?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**0))**40\/(d*d*d**(-8)*d*d*d*d**(-9\/5)) assuming d is positive.\nAnswer: d**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/104*(-348)\/27 + 11.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 f, and 1 k when four letters picked without replacement from {x: 1, d: 5, k: 4, g: 3, l: 4, f: 1}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 = 9. Calculate the greatest common factor of c and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 7*l**2 + 3*l - 2. Let a be c(-5). Let q = a - 23. Suppose -5 = -2*g + 5. Calculate the highest common factor of q and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 145553?\nAnswer: 145544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 155554580 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaqqaa. Give prob of picking 1 a and 1 q.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) 0.6 (c) 0.8 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -142759 - 1748?\nAnswer: -144507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*u**2 + 1 + u - 3355*u**4 + 3354*u**4 - 48*u**3 - 3*u**2 in the form l*u**3 + g*u + s*u**2 + k + d*u**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2. Let z(v) = -63*v**2. Calculate d(z(j)).\nAnswer: -3969*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 90130\/4*18\/(8 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 5*r**5 + 5*r**2 + r**3 - 7*r**3 - 9*r**3 + 10*r.\nAnswer: 5*r*(r - 2)*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 327*g - 27. Let s be w(3). Let o = s + -655. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.015 + -0.015. Let d = -8 - -6. What is the nearest to 0.1 in -1\/2, d, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42296.6357 plus 18.1?\nAnswer: -42278.5357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2 - 6*t + 1. Let g be 9 - (-10)\/(70\/(-91)). Let u(x) = 3*x**2 + 5*x - 1. Determine g*k(f) - 5*u(f).\nAnswer: -3*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*c - 65*c - 4*c)*(2*c + 4 - 4)*(-c - 4 + 4)*(-c - 2*c + c) + 3*c - c + 2*c**4 + c to the form m*c**2 + l*c**4 + p + x*c**3 + f*c and give l.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188 - -125. Let r be (-270)\/m + 4\/(-14). Solve 5*g + r + 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3628, 7253, 10878, 14503, 18128, 21753?\n\"Answer: 3625*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**21\/q*q))\/q**34 assuming q is positive.\nAnswer: q**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-220 - -228)*(10\/(-12))\/(16\/24). Are o and -55\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:42 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/16, 3, 10, 11, -1, 0.4, 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.6, -1, 43, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1763 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 4 = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10504800 and 4668800?\nAnswer: 42019200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlwgalgalgggl. What is prob of picking 2 a?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445 (base 10) to base 3.\nAnswer: 121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4081814018.\nAnswer: 2, 2371, 860779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5611663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-14))\/((20\/35)\/2*1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-2))\/((-3)\/(-24)). Let m be 2300\/35 + (-176)\/(-28) + -6. Let k = z + m. What is the greatest common divisor of 168 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-53)\/159*9\/18. Sort 2\/17, -3, 17, n, 10 in ascending order.\nAnswer: -3, n, 2\/17, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*z - 27. Let a = -18 - z. Solve -5*w + 6*w + 4 = a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29148)\/(-5552))\/((-21)\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -171*j + 178*j - 9198. What are the prime factors of j?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1307410550 to the nearest one hundred thousand.\nAnswer: 1307400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11515764*y**4 - 2760408.\nAnswer: -46063056*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0*i**2 - 4 + i + 15\/2*i**4 + 0*i**3. Let g(d) = -d**2. Calculate g(y(k)).\nAnswer: -8100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -98 * -92\nAnswer: 9016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757884.8 kilograms to grams.\nAnswer: 757884800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n + 112 = 4*z, 5*z + 2*n = 127. Let g = 68 - 176. What is the remainder when z is divided by (-133)\/(-9) - 24\/g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 + f**2 - f**2 + (-9*f + 14*f - 43*f)*(1916*f + 2 - 1894*f - 1).\nAnswer: -835*f**2 - 38*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -12. Solve 3*t - 5*t - 8 = v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 34. Factor 4\/7*b**p + 0*b + 0 + 4\/7*b**3.\nAnswer: 4*b**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 3*h + 162, -4*c + 217 = 7*h - 12*h for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 1.2. Let h = 642 - 638. Suppose 0 = -h*p - 825 + 857. Which is the third smallest value? (a) d (b) p (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 - 0.95. What is the closest to -2\/3 in -0.3, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -4\/14559, -47, -0.4?\nAnswer: -4\/14559","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 - 21854*s**2 + 6*s**3 - 2*s**3 + 21854*s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-3))\/((-8)\/(-12)) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 68*i**2 - 149*i - 1126. Calculate z(-66).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 4*g + 6. Suppose 0 = 3*w + 5*v - 7*v - 15, -3 = w + 2*v. Let m(t) = -671*t**2 - 5*t + 668*t**2 + 12*t + 11. Give w*m(s) - 5*j(s).\nAnswer: s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = -37 + 37. Suppose 20 = 4*v, y = -2*f - v + 3*v + 232. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 9:13 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -367.5 - -367. Which is the third biggest value? (a) 1 (b) g (c) -0.2 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/((-10395)\/44))\/((-2)\/15)*7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5\/5 - 19893*w**4\/5 - 99573*w**3\/5 + 218889*w**2\/5 + 131382*w + 358344\/5 = 0. Calculate w.\nAnswer: -6, -1, 3, 6636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 7 = -5*b, -6*b = p - b + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-8)\/78)\/(8\/(-108)*-9)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = 3*w. Let p be ((-15)\/(-9))\/(1\/(-24)). Is 3 a factor of ((-2)\/4)\/(w\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 978318.4 milligrams?\nAnswer: 0.0009783184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 201, 854, 1935, 3444?\n\"Answer: 214*h**2 + 11*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6\/7, 2\/11, -5, 2\/55, 1\/14 in decreasing order.\nAnswer: 2\/11, 1\/14, 2\/55, 0, -6\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 4:08 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*g + 1180 + 4912 = 0, -4*m - 2*g = -6102. What is the hundreds digit of ((-2)\/(4\/1))\/((-4)\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/9 + 8896*b**2\/9 - 84146*b\/9 - 17471440\/9 = 0. What is b?\nAnswer: -4457, -40, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -41746 (base 9) to base 3\nAnswer: -1101211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -8*i**6\/15 + 4*i**4\/3 + 10*i. What is the third derivative of j(t) wrt t?\nAnswer: -384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -33 (c) -14379 (d) -1\/9 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 6591*m - 97308.\nAnswer: -3*(m - 36)*(m - 17)*(m + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 1:56 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 210\/63*15\/25. Solve -k*r + 14*r + 24 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - ((-8)\/(-12) - -3)) + 4495\/609\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f*f\/(f\/(f**(-3\/4)*f))*f)*f)\/f*(f\/(f**4\/f))\/f)\/(f**0)**12)**12 assuming f is positive.\nAnswer: f**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6054520 divided by -2\nAnswer: -3027260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/5728 and 79\/57638.\nAnswer: 922208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30 - 51 + 18 + 63*y + 5*y**3 - 3*y**3 wrt y?\nAnswer: 6*y**2 + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576*t - 575*t - 17709 = -p, -t + 17703 = -p. List the prime factors of t.\nAnswer: 2, 3, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7043579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2 - 71*q - 1. Let s(l) = l**2 + 15*l. Let c(w) = -f(w) - 5*s(w). Calculate c(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13758 divided by -56\nAnswer: -6879\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z + 127221 = 129828 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v**3 - 565*v**2 + 362*v + 565*v**2.\nAnswer: 22*v**3 + 362*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 13) to base 14.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 16*n**2 + 165*n - 11. Let a be m(7). Solve 9*d + a + 19 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -98, -0.38.\nAnswer: -98, -0.38, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2344, -2277, -2210?\n\"Answer: 67*x - 2411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 + 51 - (-8 - -4)) + 7.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjyj when four letters picked without replacement from {y: 8, z: 4, x: 5, j: 2}?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51494442?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 16) to base 11\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -2 (c) -0.07491 (d) 877\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - c - 1. Let y(w) = -30*w**3 - w**2 + 2*w + 1. What is 3*t(a) + y(a)?\nAnswer: -33*a**3 - a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4044 is divided by 188?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 68088091561564\nAnswer: 68088091561564.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187\/(53295\/1520)*1\/1*99\/(-12).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-40) + 1 + 3\/(-4). Let u = -11 + 2. Let a = u + 5. What is the third smallest value in 0.2, a, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 13*p - 11. Let j be a(14). Let i be 21\/28*(j - -1). Suppose 0 = -2*z - 2*z + 16, i*g - 3*z = 60. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-37 - -48) + -10 + 14 - 84 - (13 - -1)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k - 1. Let y be s(1). Let -1 - 1 + 1 + f**5 + f + y*f**2 - f**4 - 2*f**3 - 2*f**2 = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 3, -805 in descending order.\nAnswer: 42, 3, -805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 13. Give g(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a - 18. Let w be k(-4). Solve w*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 35 + (-9)\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150805994?\nAnswer: 2, 75402997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 11:17 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) 5 (c) -9\/10 (d) 63\/11 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y + 6852935 + 467047 = 127*y. What are the prime factors of y?\nAnswer: 3, 15443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 0*y + 2*y)*(-59*y**2 - y - 2*y**3 + 29*y**2 + 31*y**2).\nAnswer: 2*y**4 - y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.1, -0.09, 3, -1.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 9*x - 13. Let o be s(-10). Is -20*(18\/4)\/o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*c - 4*c + 51*c + 0*c - c + 2*c + (4 - 3 + 0)*(3*c - 2*c - 3*c) - 2 + 2 + 2*c - 2*c + 0*c + c as f + k*c and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2712, 7682, 17198, 33534, 58964, 95762, 146202, 212558?\n\"Answer: 379*a**3 - a**2 + 2320*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -391 - -395. Let u be ((-2)\/7*9)\/((-6)\/r). Which is the nearest to 1? (a) -2\/15 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56 and -10.84555?\nAnswer: 607.3508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30.5, 243\/5, -14, -3 in decreasing order.\nAnswer: 243\/5, 30.5, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 107 and -82.\nAnswer: -8774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70979656 by 1.\nAnswer: 70979656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -120, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9481 = -9*i - 1048. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h + 68. Let c be y(8). What is the greatest common factor of c and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or -105839?\nAnswer: -105839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -23*y - 19. Let z(h) = 11*h + 9. Let d(g) = -6*l(g) - 13*z(g). Let m(a) = -5*a**2. Give m(d(w)).\nAnswer: -125*w**2 - 150*w - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (699\/(-6))\/((-3)\/6). Suppose 3*m - 2*o = o + 318, -2*m - 5*o + g = 0. What are the prime factors of m?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 13*y - 42 = 0. Suppose -y*u = 5*u - 4169. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 106, -84, -308, -572, -882, -1244, -1664?\n\"Answer: -c**3 - 11*c**2 - 150*c + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 792*h**3*w**2 - 3*h**3 - 179*h**2*w**4 - 5*h - 265881 wrt w.\nAnswer: 1584*h**3*w - 716*h**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 309 = 2*h - 444, -5*h + 1869 = n. Solve h*o - 20 = 367*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221506 = 49*y - 457340 - 252742. Is y a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/19 or -260?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - r = 14 - 6, 2*k = -5*r + 32. Let c(d) = -d**3 + 5*d**2 + 5*d + 2. Let g be c(k). Suppose 0*o = -3*o - 15. Sort g, o, 5 in ascending order.\nAnswer: o, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174909277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 24174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5217*f**2 - 50*f - 10 wrt f?\nAnswer: 10434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/5312670 and 5\/25569.\nAnswer: 47814030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 31557, 122252, 273407, 485022, 757097, 1089632, 1482627?\n\"Answer: 30230*m**2 + 5*m + 1322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 400248803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1360 + 454. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 135*m**2 - 218*m - 2990. Is 13 a factor of y(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/2 + 115*j**3\/2 - 3674*j**2 - 11744*j + 15360 = 0.\nAnswer: -160, -4, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqp when three letters picked without replacement from {p: 5, q: 4, z: 2, y: 8}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*y - 36 = 0, 0 = 3*y + 4 - 16. Sort 0, 1, j in decreasing order.\nAnswer: 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 401013 - -45?\nAnswer: 401061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.54544 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.357*-3\nAnswer: -1.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide (396\/63 + -8)\/((-1)\/19719)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 37 - 116 + 34 + 32. Let h be c(-18). Solve -h*y - 5 - 5 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496238 equal to 496295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1006919\/1493016 + -16\/8887. Calculate the common denominator of -31\/6 and s.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26744553*o*t**3 - 2*o*t + 42504*o - 19*t wrt t.\nAnswer: -160467318*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5147102 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -15*p - 517582*p**2 + 4 + 0*p**3 - p**3 + 517569*p**2. Calculate z(-11).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*i**2*l**2*t*z - 2*i**2 - 12*i*l*t*z + i*t*z + 2*l**2*t*z - 12*l**2*t - 5*l*t wrt l.\nAnswer: -80*i**2*t*z + 4*t*z - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-13)*f\/((f*f*(f*f**(-15\/7))\/f*f*f*f)\/f))\/(f**(6\/5)*f\/((f\/(f**(-5\/2)*f))\/f)) assuming f is positive.\nAnswer: f**(-1019\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = 0, -3*h + 0*h = 3*u + 3. Let q(w) = -4*w + 19. Let d(x) = 3*x - 19. Let i(v) = h*d(v) + 2*q(v). Let r be i(21). Solve 0*o - r*o + 10 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*1*2 - -4*(sqrt(187) + sqrt(187) + sqrt(187)*1 + sqrt(187)))\/(sqrt(77)\/(3*sqrt(14)\/sqrt(2) + sqrt(7))*1).\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/9 - 152358548*c**3\/9 + 967213681980694*c**2\/3 - 5803281634808528*c\/9 + 2901640741224992\/9 = 0 for c.\nAnswer: 1, 38089636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40807 divided by -150.\nAnswer: 40807\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 65*a - 1173. Solve -o = 4*c - a, 5*o + 4*c - 10 = -c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7 and -22.954.\nAnswer: -23.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(171) - sqrt(171)*-2)*-1)**2*5.\nAnswer: 180*sqrt(19) + 7715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 172541216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8531\/78 + -1294\/13. What is the common denominator of (10\/(-84))\/((-48)\/(-728)) and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5\/9 - 778*y**4\/3 - 898420*y**3\/9 - 12255836*y**2 + 160729926*y - 148374006 = 0.\nAnswer: -393, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/17 + 82*p**4\/17 + 538*p**3\/17 + 1198*p**2\/17 + 1120*p\/17 + 376\/17 = 0. What is p?\nAnswer: -2, -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7053, -7022, -6991, -6960, -6929?\nAnswer: -6898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 14561575?\nAnswer: 14561575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 568704055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/10 + 2652\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2193 (base 11) to base 12.\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-22))\/((-3486)\/1826).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 747*g - 27 - 746*g + 3*g**2 - 2*g**3 - 5*g**4 + 5*g**3 + 8*g**4 - 27 to the form l*g**3 + u*g**2 + v*g**4 + b*g + r and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2817)\/(-26226) + 205\/(-19270)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.47 - 320597021596\nAnswer: -320597021596.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**2 - 7*t - 7. Let b(n) = -4*n**2 - 6*n - 6. Let a(o) = -7*b(o) + 6*g(o). Let z(p) = -2*p**2. Determine z(a(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 2*z + 7. Let p(l) = -l - 26. Let v be p(-22). Let g be h(v). Suppose 0 = -5*k - g + 305. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfzz when four letters picked without replacement from {x: 7, z: 2, f: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/3 - 26*y**2\/3 - 38*y\/3 + 22 = 0. Calculate y.\nAnswer: -11, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/((-3)\/(-175400)))\/((-10)\/(-49500)). What is o rounded to the nearest 1000000?\nAnswer: 289000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63010056 (base 7) to base 12.\nAnswer: 1935233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s = 84. Suppose u - k = s, -3*k - 165 = -4*u - 0*k. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(-4 + 3 + -3*sqrt(1872))*-2)**2*-1.\nAnswer: -4313344 - 18432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, m: 5, s: 1, i: 2, p: 2}. Give prob of sequence rprp.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334 (base 7) to base 5.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4403062564 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*g + 4*h + 7, -4*g + h + 3 = 0. Let u(d) = -d + 3. Let t be u(g). Let o = -608.1 + 608. Which is the nearest to t? (a) -5 (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 768 divided by -6.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 plus -14959184?\nAnswer: -14959183.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8813168.\nAnswer: 2, 7, 13, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6424680 and 22.\nAnswer: 70671480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 + -2.9. Let a = 6 - 31\/5. What is the biggest value in v, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -41330 + 16?\nAnswer: -4131a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 253*j**2 - 16*j + 4. Let t be n(2). Let p = t - 508. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -485.36 + -0.041\nAnswer: -485.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5431246 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 38*n + 11. Give q(39).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6039974.7861 less than 0?\nAnswer: 6039974.7861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 3:35 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -80*d**2. Let k(i) be the third derivative of 5*i**4\/12 - 374*i**2 - 1. Calculate z(k(b)).\nAnswer: -8000*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 16. Let j be c(9). Suppose -3*o + 30 = -l - j*l, 0 = -o - 5*l - 2. Calculate the remainder when 13 is divided by 32\/6 + o\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from {u: 2, t: 18}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 2:05 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 11) to base 15\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, u: 1, c: 1, t: 2}. What is prob of sequence upt?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 2363257?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 171, 380, 701, 1158?\nAnswer: 1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 + 4645*f\/3 + 769798.\nAnswer: -(f - 5098)*(f + 453)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -8343 + 1243. Let g = u - 3618. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763.2ms to minutes.\nAnswer: 0.01272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.40723933 - -0.407. Round u to six dps.\nAnswer: -0.000239","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/48955318 and 25\/3644.\nAnswer: 97910636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l - 3. Let h be b(-4). Let x = h + 0. Let k = -3535 + 3545. Calculate the least common multiple of x and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-89)\/(-3 - 10\/4) - (-50)\/(-275). Solve -18*p - a = -14*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*f + 10*f + 8184 = -78*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**3\/3 - 7*u**2\/2 - 7*u + 6. Determine q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.32 + 0.31837. Round a to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + 116\/(-20))\/(2\/5). Which is the third smallest value? (a) p (b) 1\/5 (c) -2\/11 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 479382395*-0.5\nAnswer: -239691197.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369 + 270 = -11*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 4, -19, -8, -30 in increasing order.\nAnswer: -30, -19, -8, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13596702*o - 13596705*o - 4*x - 16, 3*o - 12 = 3*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 17 = -5*t - 892, m - t = 889. Is m a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -1\/2*r**2 - 19\/10*r**5 - 5*r + 0*r**4 + 1\/6*r**3 + 0. Is f(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*h = 2*h - 8, -5*h = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 5*i + 2. Let p be x(5). Let n = 1826 + -1826. Let w(q) = -4*q + n + q + q - p. What is w(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -381 + 375. Which is the closest to -1\/4? (a) -1\/4 (b) -0.03 (c) i (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.05, -1288556.\nAnswer: -1288556, -3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 246*x**2 - 1552*x - 1536. Determine n(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgreezee. Give prob of sequence rzr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -18*i**2 - 72*i + 72. Let g(d) = -21*d + 13. Let s(z) = 13*z - 8. Let y(b) = -5*g(b) - 8*s(b). Determine -o(q) - 72*y(q).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 - (3 - -30 - (-18 + 53 + -21))?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 - f**2 + f**3 + 8*f**2.\nAnswer: 4*f**3 + 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-five halves of a centimeter?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6420 - -6428. What is the closest to g in 5, 2\/5, -0.3, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 3*j = 4*u + 24, 4*j + 2*u - 12 = 0. Let o be (21\/(-35))\/(43\/(-10) + 4). Is 129 + -4 + j\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59*(-40)\/7080 + (-1 - 12\/(-9))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -33. What is the smallest common multiple of n and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -406441*i**4 - 5*i - 18587679 wrt i?\nAnswer: -1625764*i**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/839850 and -137\/992550?\nAnswer: 10918050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + ((-44)\/10 - -5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 240.4 - 240. What is the nearest to -1 in 1, 3, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + (sqrt(27))**2)*1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2677263380.\nAnswer: 2, 5, 11, 12169379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*t + 7*w - 15, -5*t - 5*w + 15 = 0. Solve y + t = -7*r + 8*r, -3*r + 13 = 2*y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h + 7*h)*(-1 + h - h**3 + 1) + (-3*h**4 + 0*h**4 + 2*h**4)*(0 + 0 - 4).\nAnswer: -3*h**4 + 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1839.9 + 1840. What is the third smallest value in w, -0.5, -35?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28237 and -315.\nAnswer: 27922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/198413 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 5:26 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Let x be (b - -2) + -2 - -2. What is the tens digit of x + -2 + 8 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001120 (base 3) in base 10?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 2*h**3 - h - 31 - 40 + 110 + 42*h**4 as b*h**4 + m*h**2 + s*h + t + w*h**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:10 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 20, -5*x + 3 = -4*d + 43. Let k be (-162)\/90*d\/(-12). Solve k*m - 3\/4 + 3*m**2 = 0 for m.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 3959.5 + -3959. Put 1, q, -57 in descending order.\nAnswer: 1, q, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 5*m = 44. Solve 4 = m*l - 0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 + -26. Let k = q + 4. What is the remainder when k is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-16)\/c**(-1\/40))\/(c**6)**47 assuming c is positive.\nAnswer: c**(-11919\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3943.0637 * 4\nAnswer: 15772.2548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4\/3 - 268*a**3 + 16542*a**2 - 188920*a\/3 + 61912 = 0?\nAnswer: 2, 71, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 72237079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 11*b + 50*b - 46*b + 0*b.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 2:01 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((((u\/((u\/(u**(2\/5)\/u))\/u*u))\/u)\/u)\/u)*u\/u**(-14))\/(u\/u**1)**16 assuming u is positive.\nAnswer: u**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 5*d**2 + 6*d + 9. Let y be b(-4). Let w be y - 1\/3 - 414\/(-27). Factor -10*v**5 + 14*v**5 - v**2 + 20*v**3 - w*v**4 - 7*v**2.\nAnswer: 4*v**2*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 - 78*j**3 + 507*j**2 - 432*j.\nAnswer: 3*j*(j - 16)*(j - 9)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.80009 + -3.8. What is s rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.987+0.3\nAnswer: -4.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 2*p**2 + 7*p**2)*(-4*p - 2*p + 4*p) + 48*p - 48*p + 4*p**3 + p**2.\nAnswer: -8*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 s, and 1 n when four letters picked without replacement from cccncescsd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 10:44 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + 0?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (-2723)\/(-70) - ((-55)\/(-50) + -1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 66*q. Let a(g) = -5*g. Let c(x) = -27*a(x) - 2*z(x). Let p(i) be the first derivative of i**2\/2 + 2091. What is p(c(h))?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(16)\/sqrt(4) + sqrt(4)) + sqrt(17) - (sqrt(119)*-3)\/sqrt(7).\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146038612.\nAnswer: 2, 36509653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 130*j + 171. What is p(-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 2319.2.\nAnswer: 1159.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 3*q - 19. What is the derivative of -70 + 84 + i + q*i wrt i?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52.078742, -0.3, -4.\nAnswer: -52.078742, -4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66158394 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*a + 3*a + 8*a)*(0 + 7 - 2)*(-2*a + 4*a + 9*a) to m + d*a**2 + s*a and give d.\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 - 2 - 19*q + 13*q wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 103?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syhscycsywsyychhcdh. Give prob of picking 1 w, 2 y, and 1 c.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 3477 = -109*z - 154 - 413 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3094*o - 279. Is v(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b - 2. Let j(q) = -22*q - 6. Let p(h) = 7*d(h) - 2*j(h). What is p(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j*j\/(j**(-1\/4)\/j*j)*j*j)**14\/((j**0)**(10\/9)*(j*j**(-2)*j)\/j*j**(-1\/8)) assuming j is positive.\nAnswer: j**(1381\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5280 - 1118 = -2*u + 2*j, 0 = 4*u - j - 12808. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*h = -240, -7*v + 5*v - 75 = 3*h. Suppose 0 = -3*u + 5 - 98. Let k = u - v. Is 16 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 239*t**3 + 477*t**3 + 468*t**3 + 413*t**3 + 0*t - t as a*t**2 + d*t + j*t**3 + p and give j.\nAnswer: 1597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 133*v**2. Let l(a) = -4226*a. Give l(r(w)).\nAnswer: -562058*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15416 + -594. Let g = l + 10620. Round g to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - x - x**2 - 2*x + 3*x.\nAnswer: -x**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (420 - 425)\/(4\/16*-2*2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4545 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - 13 - 45 - (4 + 5).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 19 + 31 = 0. Is -2 + (96 - (3 - r)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 64. Suppose -y + 106 = 3*m, 7 = 4*y + 2*m - 397. Let c = y + -95. Solve c*t - 1 = g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(65)*2)\/(-5*sqrt(245))*4.\nAnswer: -24*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 2*b - 2. Suppose 0 = -3*c + 3*j - 12, -5*j + 17 + 3 = 0. Suppose c*k - 1 = k - 4*f, -2*f - 7 = -3*k. Let z be q(k). Sort -1, 4, z.\nAnswer: -1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 166.4 or 10\/507?\nAnswer: 10\/507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 10708930.\nAnswer: 171342880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 102437*t**3 + 6 - 15.\nAnswer: -102437*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -50.73, 2, -2\/7 in decreasing order.\nAnswer: 2, -2\/7, -50.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*u - 77*u + 2*u**3 + 18)*(-20 - 23 + 42).\nAnswer: -2*u**3 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 7*v**2 - 3*v - 1. Suppose 45 = -4*o + 3*z - 158, 5*o = 3*z - 253. Let n = o + 57. What is p(n)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/60? (a) 4 (b) 69 (c) 0.141 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*q**4 + 8*q**2 - 35*q + 43817?\nAnswer: 68*q**3 + 16*q - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 4*a**2 + 2. Let w be g(-4). Suppose 16 = -w*x + 44. Let r = -3 + x. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**2 + 0*z**2 + z**2)*(-41 - 14*z**2 + 41) to the form r*z + m*z**2 + o*z**3 + l + i*z**4 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhzvzhzzzvzvzz. What is prob of sequence zhzz?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(735)*1 - 3*(sqrt(15) - (sqrt(30)\/sqrt(2) + sqrt(15))))\/((sqrt(45) + (sqrt(4500) - sqrt(4500)*1))\/sqrt(9)*3).\nAnswer: 50*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*w + 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - 6*t**2 + 5*t + 94. Let w(p) = -p**3 - 2*p**2 + 2*p + 32. Give 4*g(r) - 11*w(r).\nAnswer: -r**3 - 2*r**2 - 2*r + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 - 2 - j**2 - 3*j**4 - 56*j**3 + 5*j**4 + 62*j**3 to the form o*j**3 + c + q*j**2 + u*j + t*j**4 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 + -0.5. What is the closest to -1 in -0.4, f, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 20 = 31. What is the nearest to 0 in f, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6808 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 8*x + 4. Let n be g(-8). Suppose -10*j + n*j = -258. Suppose 3*h - 4 = 2*z - 14, -2*z + 26 = h. What is the remainder when j is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 8:09 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 9:00 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/42*-1*0. Let x(h) be the third derivative of -3*h**2 + 1\/40*h**4 + s*h + 0 + 0*h**3 - 1\/100*h**5. Factor x(p).\nAnswer: -3*p*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/21)\/(-10 - -4 - -5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 72*l - 132*l + 12*l. Let r(f) = 72*f**2 + f. Give r(y(s)).\nAnswer: 165888*s**2 - 48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + sqrt(1539) + -1 + -1)*-5.\nAnswer: -45*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606 - 4344 + 438 = 132*f for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a5896 (base 11) in base 5?\nAnswer: -221200033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**(2\/5)\/n)\/n)*n\/(n**0*n))**10\/((n\/(n*n**(-5\/4))*n)\/n**6*n**(-1\/3)*n**(3\/7)) assuming n is positive.\nAnswer: n**(1651\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d. Let f(r) = 6*r + 5*r**2 - 6*r. Give f(b(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228)*3*4)\/(1*(sqrt(108) + sqrt(108)*-1) + sqrt(108)).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-five halves of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101036 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + w**2 + 1)*(-5 - 9 + 8 + w) + 2*w**3 - 2*w**3 + 2*w**3 + 2*w**3 + w**3 - 4*w**3 + (0*w - 3*w + 2*w)*(-2*w**2 + 0*w**2 + 0*w**2).\nAnswer: 4*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02580186 rounded to 4 decimal places?\nAnswer: -0.0258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903609313?\nAnswer: 17, 5519, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35688, 142385, 320238, 569247, 889412, 1280733, 1743210?\nAnswer: 2276843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1, -5, 192 in descending order.\nAnswer: 192, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a factor of 3294395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 55*m - 603. What is f(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*s**2 + 425 + 2*s**2 - 8*s**2 - 405 wrt s.\nAnswer: -34*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n. Suppose w - 8 = 7. Let d(c) = c. Determine w*d(p) - j(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/5 + (-4)\/(-5). What is the third derivative of -15*a**z - 14*a**2 - 5*a**6 + 24*a**2 wrt a?\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4736\/5920 - 111*(-1)\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 0*a + 2\/3*a**3 + 0*a**2 + 3. Find d such that h(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -46, -49, -66, -103, -166?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-148)\/6) + 3\/9. Let j = 28 - v. Solve 2*y - j = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 27 = -4*b, -3*z + 2*b = -2*b - 21. Suppose -2*k - d - 159 = 0, -z*d = -k + 4*k + 231. Let t = 139 + k. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 118*o**4 - 7*o**2 + 98*o**4 + o**2 + 25*o**3.\nAnswer: -5*o**2*(o - 1)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389027296 is divided by 1202?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 3}. Give prob of picking 2 x and 2 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5*n = 11, -1615771*x - 3*n = -1615773*x + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -10*i**2 + i + 1. Let v(b) = 2*b + 11. Let l be v(-6). Let z be g(l). Let o be (2\/z)\/((-8)\/20). What is the closest to 2 in o, -0.3, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 79*n**2 + 22*n. Let h(j) = -39*j**2 - 10*j. Let q(p) = 13*h(p) + 6*k(p). Let u(y) = 2*y**2. Calculate u(q(g)).\nAnswer: 2178*g**4 - 264*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 447*c*f**2*i + 6*c*f*i - 3*f**4*i + 10*f**3*i + 55146*f*i wrt f?\nAnswer: 894*c*i - 36*f**2*i + 60*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001000000001010 - -1?\nAnswer: -1001001000000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + u**2 - 32*u + 173. Calculate t(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1673475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -375*g*o*y + 5*g*o*z + g*y*z - 2*g*y - 4*g*z + 2*o*y*z + 6*o*z - 3*z wrt y?\nAnswer: -375*g*o + g*z - 2*g + 2*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than -0.111919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -47534 + 65087850?\nAnswer: 65040316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dffdayddldaffdaddd. Give prob of sequence da.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 21*r**4\/5 - 549*r**3 + 1944*r**2\/5 + 156*r = 0.\nAnswer: -2\/7, 0, 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -11*l**3 + 140687*l**2 - 449817905*l - 122688075 = 0.\nAnswer: -3\/11, 6395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-11 - -6)) + 0 + 5 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12194 + -12193.99955249. Round f to 6 dps.\nAnswer: 0.000448","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 615650?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 1. Suppose -u = 5*q - 19. What is the third derivative of -5*p**2 - 5*p**3 - p**3 + p**2 + 5*p**q wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3323956, 3323991, 3324026?\nAnswer: 3324061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320030.313 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = h + 68, 7*h - 5*h = 2*w - 24. Solve w*r + 3 = 17*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(-2)\/l)\/l)**(1\/3)*(l\/l**(2\/19)*l)\/l**(2\/3)*l\/l**5*l\/l**8*l*l**(-9)\/l*l*l*(l**(-2\/3)*l*l)\/l assuming l is positive.\nAnswer: l**(-325\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 877 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.37 times -372314\nAnswer: 137756.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 190232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t - b - 9, 4*t = b + 1. Let s(a) = a + 1. Let u be s(t). Let j = 5092\/7 - 193489\/266. Which is greater: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*w + 65*w - 1216. Let s be w\/((-16)\/((-48)\/(-6))). Suppose 0 = p + 4*p - 380. Calculate the greatest common divisor of s and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**7\/1680 - 7*f**5\/15 - 3*f**2 + 6*f. Let z(u) be the third derivative of v(u). Let l(c) = 28*c**2. Calculate z(l(a)).\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 11:55 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + (1 + sqrt(1900))*-5 + -2)**2 - -1*(0 + sqrt(1900) - sqrt(1900))*-1.\nAnswer: 560*sqrt(19) + 30449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16718 - -24237. Calculate the greatest common factor of 73 and c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 136. Let u = d + -42. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -655\/3 + 210. Let p = 6608 - 217988\/33. What is the common denominator of m and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000100010101011000 (base 2) in base 8?\nAnswer: -5042530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 11) in base 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-28 - -23) - 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 170 - 115. What is the remainder when i is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) - 187\/(-68). Suppose -y - o = l, 3*l + 2*y + 0*y = -10. Is 2525 - -2*(2 + l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h. Let x(r) = 2*r - 12. Let c(n) = 2*n - 10. Let b(g) = -6*c(g) + 5*x(g). Determine -5*b(l) - 4*z(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 2*w**2 + 8 + w**2 - 1. Let g = 9443 + -9445. Let z be y(g). Which is smaller: -4\/33 or z?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8781643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.38 and 1923.64011468.\nAnswer: 1924.02011468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3752*v + 2575*v = 41195 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126 + 626\/5. Suppose -x + 0 = 4. Let r = 0 - 1. What is the nearest to r in 2\/9, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = 4*x + 2*d, -15*d - 8 - 169 = 3*x - 15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15*z - 59. Suppose 3*r + 0 = 3*g - 18, 2*g - 3*r = 7. What is the tens digit of j(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 14*v - 49. Let f(d) = -22*d**2 - 154*d + 550. Let g(l) = 68*c(l) + 6*f(l). Determine i so that g(i) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 1088. Let p(o) = -12*o. Give p(w(q)).\nAnswer: 24*q + 13056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**6 + 2*k**5 + 25*k**3 - 11766*k**2?\nAnswer: -600*k**3 + 120*k**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000364616 rounded to 6 dps?\nAnswer: 0.000365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 11*u**4\/24 + 2056*u**2. Let p(z) = -2*z - 51. What is t(p(s))?\nAnswer: -22*s - 561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4756 = 465*z + 338*z - 687*z for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 60c - 667?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 6. Let n(p) = p**2 + 6*p + 4. What is n(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.210557577 rounded to 3 dps?\nAnswer: -0.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 = -5. Suppose -3*z + 10 = 2*z. Let j(r) = -m*r - z*r + 2*r. Calculate j(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5\/13, 0.1, 10\/11, 4?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22022220 (base 3) in base 11?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, -3, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 150*n - 3. Let q be a(2). Let o = -81 + 90. Let v(z) = -2*z**2 + 21*z. Let b be v(o). Calculate the highest common factor of b and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 269790.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263713 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 4:38 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 189*r + 342*r + 272*r - 135*r - 36*r as b*r + v and give b.\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 508511320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-7) - 714\/(-294). Which is the closest to t? (a) 0 (b) -0.1 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2 + 190380*p - 5709600 = 0. Calculate p.\nAnswer: 30, 95160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-2)*((-6)\/(-16))\/((-198)\/88)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (2701\/7 + -2)\/((-4)\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22570 and 366.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*2)\/((-14)\/4). Suppose 0 = 7*z + 4*j - 4, 221*j - 226*j + 5 = -5*z. Factor -2\/7*m**3 + z - 10\/7*m**5 + x*m**2 - 16\/7*m**4 + 0*m.\nAnswer: -2*m**2*(m + 1)**2*(5*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.031 - -0.031. Suppose 0 = p + 2*z - 4, -2*z = 3*p + 9 - 33. Suppose -l - l = -p. Which is the fourth biggest value? (a) l (b) -1\/9 (c) 0.5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.567+-5\nAnswer: -2.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -81325578 or -243976738\/3?\nAnswer: -81325578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18819.\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**12\/v**(-5\/6)*(v*v\/v**3*v*v)\/(v**(6\/7)\/v) assuming v is positive.\nAnswer: v**(587\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 95*r + 330.\nAnswer: -5*(r - 22)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.487 and 28985.\nAnswer: -72085.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 1\/6*x**4 + 40 + 0*x**2 + 0*x + 2*x**3. Factor z(v).\nAnswer: 2*v**2*(v + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**0*l**(3\/5)*(l**(-1\/3)\/l)**5 assuming l is positive.\nAnswer: l**(-61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17293773 by 8169.\nAnswer: -2117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 3*p + 2. Let w be z(-3). Suppose -2*c + 16 = w*c. Solve -g + c*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + q + 3. Let j be b(-2). Let f(s) = -s - 4. Let o be f(j). Is o*-2*422\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (96\/(-12))\/((-4)\/1847)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*k - 2*k + 1049, 2*k = -3*x - 3152. Let r = 3213 + x. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.1 - 3. Let t = 2 + -1.8. Let y be -30 + 27 + 34\/14. Which is the smallest value? (a) y (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s - r + 149, -4*s - 5*r + 217 = 0. Suppose -4*j = 3*i - 120, 2*i - s = -3*j + 32. What is the remainder when i is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 7*c + 6. Let j(y) = -4*y**2 + 28*y - 23. Let a(i) = 2*j(i) + 9*x(i). Let v be a(6). Is ((-66)\/v)\/(3\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4546*h**3*o - 853298*h**3 + 1492*o wrt o.\nAnswer: 4546*h**3 + 1492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -144*l. Let h(x) = -338266*x. Calculate v(h(k)).\nAnswer: 48710304*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119695985 divided by 1795.\nAnswer: -66683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 52. Let d = -75 - -148. What is the remainder when d is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2 + 2070202*y - 31052805 = 0.\nAnswer: 15, 2070187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 13255691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 160249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5181510*c**2*h*s + c**2*h + 572*c**2*s + c*h*s**2 + 4*c*s**2 + 2690*c*s wrt h?\nAnswer: 5181510*c**2*s + c**2 + c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.000736 - -67.0991.\nAnswer: 68.099836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2210, 4291, 6104, 7517, 8398, 8615, 8036?\n\"Answer: -22*h**3 - 2*h**2 + 2241*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6014227\/4907526 - 1\/48113. Calculate the common denominator of v and 14\/11.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 225 + 12527. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119993*w**2 - 35*w + 119994*w**2 + 106*w - 7*w - 64*w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21686 + 21692. Put -0.6, w, 0.69 in descending order.\nAnswer: w, 0.69, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/10)\/((-27)\/(-45)). Let m = -36 - -46. What is the nearest to -1\/4 in m, 1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3448\/3?\nAnswer: -3448\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 + -93. Let k be (-99)\/(-3) + -1*2. Let l = k - i. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-964)\/(-36) - (-4)\/18. Suppose p = x - 13, -3*x + h = 5*p - 20. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/22993 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*v + 3. Let m(s) = -3*s - 18. Let c be m(15). Let p = c - -255\/4. Which is smaller: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*q - 192*j**3 + 2192*j*q + 355*q - 920 with respect to q.\nAnswer: 2*j**3 + 2192*j + 355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -691207.827 to the nearest 1000.\nAnswer: -691000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 500628?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 150.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/47080 and 16\/464915.\nAnswer: 3719320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 89976 = 4*n, 53*n - 49*n + 2*a + 89968 = 0. Round n to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 46, 56, 66, 76?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 + 6*r - 7. Let p(a) = -6 - 3*a - 5*a**2 + 8*a - 8*a**2 + 19*a**2. Give -4*h(m) + 5*p(m).\nAnswer: 2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + p - 2*p)*(2 - 7 + 4) + (-1 + 3 - 3)*(2*p - 4*p + 0*p) + 26*p - 122*p - 5*p as o + b*p and give b.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2 + 4840*n - 9684 = 0.\nAnswer: -4842, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 773693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11781334 rounded to four dps?\nAnswer: 0.1178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1052968, -2105894, -3158824, -4211758?\nAnswer: -5264696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 180 = 10*q. Suppose -q*s - 2127 + 5637 = 0. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-1\/3)\/b)**44)**(-1\/14))**(-5))**(1\/60) assuming b is positive.\nAnswer: b**(-22\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -437, -888, -1505, -2294?\nAnswer: -3261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 - 100010111111110000?\nAnswer: -100011000000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 16. Suppose -v*f + 6*f = 56. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 + 2*l**3 - 8*l + 5*l - 4*l**2 + 2*l**2. Suppose 2*m - 4 - 12 = 4*c, -4*m - 28 = 4*c. Let i be (m\/(-5))\/((-6)\/30). Determine h(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 572880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 2.3. Let k = 0.1649 + -0.2649. Which is the second smallest value? (a) k (b) -1 (c) g (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**3 - 7*h - 6. Let n(q) = q**3 + q**2 - q - 1. Let o(r) = -l(r) + 3*n(r). Let u = -185773 + 185778. Calculate o(u).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.49 - -279723.5284.\nAnswer: 279724.0184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43705 and 560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.068*-3566\nAnswer: 242.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*sqrt(10))\/sqrt(5) + (sqrt(2)*-3*5)**2 + -2.\nAnswer: 5*sqrt(2) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -1. Calculate the remainder when 113 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -69. Let s = 67 - u. What is the smallest common multiple of s and 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-4*d + 2*d + 8*d).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v - 1004 - 288 = 934 for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 53, 163, 379, 737?\n\"Answer: 6*a**3 - a**2 + a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/7 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2*(-3)\/(-2 + -4). Suppose c = 3*j - 10*j + 252. Suppose -24*q - j = -33*q. Solve q*n + 5 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**(-2\/39))*l*l**24*l*(l**(-1\/6))**(4\/19) assuming l is positive.\nAnswer: l**(6426\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 37, 3, -1, -4 in ascending order.\nAnswer: -7, -4, -1, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -715, 1, 5.66?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65689*h**3 - 464061*h.\nAnswer: 394134*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7293959579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 12:30 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.05 - 7.75. Which is the closest to 8? (a) x (b) 4 (c) 0 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.06 (c) -0.1 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 42131?\nAnswer: 42125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 19*h**3 + h**2 + h - 1. Let a be -8 - 9\/(1 - 4). Let u = -4 - a. Let r be c(u). What is the highest common divisor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 5\/2 (b) 2\/17 (c) 0.18 (d) 1301 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13005*u**6 - 8453*u**2 wrt u?\nAnswer: 1560600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/8 - (-1 + -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -749*y**6\/6 + 137*y**2 - 972. Find the second derivative of v(p) wrt p.\nAnswer: -14980*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z + 10. Let m be w(4). Is -6 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*r - 10 = 0, -2*o + 3*r - 6 = o. Solve 4*w + 8 + 4 = o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 - 2*m**2 + m + 2. Let r be i(1). Solve -2 = r*j - 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.01 - 0.01. Let p = a - 2. Let j = 0.98 + 2.02. Sort j, p, 1 in ascending order.\nAnswer: 1, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 52*y + 426 + 1673 + 579 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 >= -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v + 13*v + 15. Let z(s) = 7*s - 1. What is the remainder when 100 is divided by z(v)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*5*3\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4\/23 + 86*v**3\/23 + 178*v**2\/23 + 90*v\/23.\nAnswer: -2*v*(v - 45)*(v + 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068169255 to the power of 1\/2, to the nearest integer?\nAnswer: 32683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 292 - -509. Suppose 4*w - f = 319. What is the units digit of (9\/(-5))\/(4\/(w\/(-21)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaryooymmy. Give prob of sequence or.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3474.3, -0.3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-11))\/((-6)\/(-10112)). Let j = 458 + c. What is the common denominator of (-27)\/108 + -1*(-314)\/40 and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4 + 5 + 0 - 3 + 2 + 0 - 1 + (1 - 1 - 1)*(-3 + 2 + 3) + 6 - 10 - 8)*(-3*d + 0*d + 4*d).\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5235, 5231, 5213, 5175, 5111, 5015, 4881, 4703?\nAnswer: 4475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5139*z + 1402990. Give j(273).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-833)\/(-3)*(1 - 4). Let c = u + 1481. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {p: 2, l: 9, m: 8, r: 1}.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 322076936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7327 times 254.8?\nAnswer: 1866919.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 10*l - 8. Let f be i(4). Suppose -27 - 117 = -6*d. Calculate the greatest common factor of f and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*i**5 + 38*i**2 - 38*i**2 + 3*i**5 + 0*i**5 - 2*i**5 + (21*i - 6*i**3 - 21*i)*(4*i**2 - 5*i**2 + 0*i**2) - 17*i**5 + 10*i**5 + 14*i**5.\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7397 divided by 5\nAnswer: 7397\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -610 + 819. What is the remainder when h is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 1\/20*d**5 + 1\/6*d**3 + 0 - d + 3*d**2 - 1\/2*d**4. Is x(6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50368245 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 2*w**3\/3 + 3*w**2 + 3*w + 23. Let k be s(-2). Which is the smallest value? (a) k (b) 5 (c) 0.5 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:58 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4358135 is divided by 309?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 45.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**3\/3 + a**2\/2 - 2*a + 32. Is 15 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-84) - (-3)\/6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 + 127012*d\/5 - 25402.\nAnswer: -2*(d - 63505)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 2*o - 7. Let u be f(-3). Find the second derivative of k**3 + k + 3*k - u*k wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -3. Suppose 2 = c - t. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 11 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3530 and 11?\nAnswer: 38830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**3\/3 + 1480*g**2\/3 + 109520*g\/3 = 0. Calculate g.\nAnswer: -148, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-7 + 6) - (-131 - -103)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372577?\nAnswer: 23, 97, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**4 + 2*z**4 - z**4)*(3 + 0 - 1)*(2 - 2 - 4) + 37*z**4 + 150*z**4 + 626*z**4 in the form l*z**4 + q*z + r*z**3 + g + j*z**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 264 + 28784165098\nAnswer: 28784165362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22634, 22633, 22632, 22631, 22630?\nAnswer: 22629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -15*y - 866. What is t(-34)?\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**5\/60 + u**4\/8 - u**3\/3 - 8*u**2 - 22. Let j(f) be the second derivative of q(f). Determine j(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 - 131. Let y be (6\/8)\/(1800\/(-1136)). Let d = 2\/75 - y. Which is the nearest to -3\/2? (a) 0.2 (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -6*z**4 - 1215*z**3 - 63354*z**2 - 437715*z + 803250 = 0.\nAnswer: -119, -75, -10, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347014 is divided by 211.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 11:37 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3141b (base 12) to base 5\nAnswer: -4031120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 13*g + 9. Let c be t(13). Suppose c = -14*d + 37. Suppose 0*y - 599 = -3*q + d*y, -4*y + 772 = 4*q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d**2 + 8*d + 21. Let h be r(-5). Solve -24 = -194*k + h*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 62. Let z = 75 + v. Suppose 3*p - z = -2*i, 4*p - 53 - 17 = 2*i. Solve 0 = 5*m - p + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -5*l - z, -3*l - 4*z + 55 + 21 = 0. Suppose -6*h + 3*h = 5*d - 12, -5*h - 4*d + l = 0. Suppose h*f - 2*f = 48. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1897?\nAnswer: 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7150567 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0.11034849455\nAnswer: -5.11034849455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4310, -8617, -12922, -17225?\nAnswer: -21526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 30 + 7 = -2*i, 0 = -2*i + 4*g - 40. Let n(j) = j + 18. Let t be n(i). Solve 2*b - k - 6 = t, 2 + 2 = 3*b - 4*k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s**4 + 0*s**4 + 2*s**4)*(0 + 6 - 3) + 2*s**4 + s**4 - 5*s**4 - s + 2*s**4 + s + (0*s + s**2 + 0*s)*(1 + s**2 - 1).\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1b576?\nAnswer: -1b571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3040, -3057, -3076, -3097, -3120?\n\"Answer: -p**2 - 14*p - 3025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 44600 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 334 + -3211304?\nAnswer: -3210420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvfvvttmmstvv. Give prob of sequence tftt.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - 12. Let b be k(-4). What is the highest common factor of 108 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -129, -136, -143, -150?\n\"Answer: -7*p - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3*-2*2\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -675792 by 57.\nAnswer: -11856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2. Let d(b) = -611*b + 143. Let i(c) = -10 - 6 + 4 + 8 + 17*c. Let w(a) = -4*d(a) - 143*i(a). Determine y(w(q)).\nAnswer: 507*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6022075 a multiple of 1615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**3 - o**2 + o. Suppose 5*s = -70 + 95. Suppose g + 5 = r, -4*r - s + 13 = -g. Calculate u(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q + 31 = 161. Solve 4*f = 0, 0 = -q*r - 3*f + 6 + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 251 in -2\/31, 0.2, 0.3, 0.025, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32, 67, 106, 149?\n\"Answer: 2*w**2 + 29*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332 + 891 - 2*y + 88.\nAnswer: -2*y + 1311","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -3\/2, -1, 3, -4, -16, -1156\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -12*r**2. Let m(s) = -35*s**2 - 12. Let o(h) = 3886*h**2 + 1334. Let n(p) = 667*m(p) + 6*o(p). Calculate n(v(b)).\nAnswer: -4176*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k - 4*a - 20 = 0, -5*a - 70 = -5*k. Suppose 2*h + 2*s + 2*s = 10, 3*h = 3*s - k. What is the smallest common multiple of (h - (-23)\/3)*3 and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*d + 3*d. Let c be (3\/d)\/((-7)\/28). Solve -4*a = -g - 12, 10 + 6 = a + c*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2104072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22343 + 0?\nAnswer: 22343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/6*-1*43\/((-2107)\/294).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*r = -14, 0 = -3*u - u + r + 26. Let o be (-5)\/2*4*(-3)\/u. Solve 0 = 4*i + b - 5, 5*i - o - 3 = -3*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34776 and 913738?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 715206327 + 1?\nAnswer: 715206330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-48)\/(-72))\/((-1)\/(-25940))*325*6. Round o to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 9*s**2 + 7. Let w be t(-9). Suppose 56 = -7*q + 21. Let i be 4*5\/9 - (-10)\/q. Sort i, w, -4 in decreasing order.\nAnswer: w, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6860, 13716, 20572, 27428?\nAnswer: 34284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a + 79 + 11 = 0, 1163*g - 22 = 1165*g - 4*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -273342 (base 10) in base 12?\nAnswer: -112226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180*l**3*t**2 + 7*l**3*t + 9*l**3 - 154170*l*t**2 - 6438*t + 28 wrt t.\nAnswer: -360*l**3 - 308340*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1151823583 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1755)\/(-468)*(-2)\/(-6).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k + 16. Let b(n) = 8 - 33 + 16 + 10. Let d be (-18)\/567*-9 - (-9)\/(-7). Give d*f(u) + 16*b(u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 + 0 - -1) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -58*l**3\/3 + 2396*l**2 - 107498*l\/3 + 86456 = 0.\nAnswer: 3, 404\/29, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3603 and 1747455.\nAnswer: 1747455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*l**2 - 229*l**2 - 318*l**2.\nAnswer: -191*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 259622 and 259743 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 1. Let g = 14 - y. Suppose 0 = g*h - 2478 + 383. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10 = -3*u, 2*g + 4*u = -2*g - 24. Let w be -4*g\/(-2) - 2. Let n = 2 - w. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4629, -2734, -829, 1092, 3035, 5006?\nAnswer: 7011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine halves of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from sfkksfkikslkfkkfk?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 8, -m = -4*f - f - 26. Let u(q) = 12*q + 80. Let y be u(f). Put 0.01, y, 0.1 in decreasing order.\nAnswer: y, 0.1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 160594408.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1171103 divided by 61637\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u + 5. Let n be v(3). Let c = n - -12. Put c, -6, 0 in descending order.\nAnswer: 0, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -44\/653495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*b + 352, -3*b - 440 = 5*y + b. Let f = y - -93. Suppose -3 = 3*h - 2*z, 2 + 13 = -2*h - 3*z. Put -5, h, f in increasing order.\nAnswer: -5, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -70, 2\/11, -0.5, -0.08, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6965\/(-10)*72\/42. Let l be (-2)\/6 + 8\/(-12). Is 25 a factor of x\/(-24) + l\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211178597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 45 (b) 201 (c) -1\/67 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 7 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(10\/54)*(-4140)\/(-1242).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, y: 1, p: 1, c: 1}. Give prob of sequence cpy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2. Let d(p) = 3*p - 7. Let y(q) = -5*q + 11. Let g(m) = 8*d(m) + 5*y(m). Let h(a) = -3*g(a) + j(a). What is the units digit of h(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*b + b**4 - b**3 - 42 + 0*b**2 + 127*b - 2*b**2 in the form d*b**3 + f*b**4 + g*b**2 + u + i*b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 36*q + 19*q - 91.\nAnswer: 55*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 2*n + 2*n**2 + 2 + 0*n**2. Let r be (-5 - (-10)\/5) + (-1 - -2). Give k(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**5 - 18*j**4*s + 13*j**4 + j**3 + 2*j**2*s + j**2 + 5*s + 34 wrt j?\nAnswer: 120*j**2 - 432*j*s + 312*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25037 - -25037. What is the second biggest value in s, -2, -12\/17, -1.1?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 28. Suppose 4 = u*q - 4*h, 10 = q + 4*h - 10. Suppose -5*c + 12 = -53. Calculate the remainder when c is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1316*z + 154. Does 10 divide d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12408984 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 4. Let u(t) = t**2 + 5. Let x(v) = 6*p(v) - 5*u(v). Let i(n) = -5060*n + 10121*n - 6*n**2 - 5061*n + 3 + 2. Calculate -i(g) - 5*x(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010200212 - 20?\nAnswer: -2010201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*((-7680)\/(-96))\/(-1280).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in 0, -0.04, 6\/175?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 6*o - 2*o)*(-2 + 3 + 0)*(-3 + 0 + 1 + 2 - 3 + 3 + 1 - 2 - 1 + (0 + 0 - 2)*(-1 + 0 + 3)).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 29*(12\/5 + 3\/5). Let s = -2 + 4. Suppose -s*j = -43 - n. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 70, 93, 140, 217, 330, 485, 688, 945?\n\"Answer: v**3 + 6*v**2 - 2*v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7109 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 0*a + 1\/5*a**3 + 3\/20*a**4 - 20 + 0*a**2. Solve p(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -1 - -9) + 0 + 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-6 - 5)) + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -90232107 and -0.5?\nAnswer: 90232106.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 13196182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((1160\/(-20))\/232)\/(1\/252))\/(9\/(-3)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**2\/5 + 353186088*h\/5 - 5197517198197656\/5.\nAnswer: -6*(h - 29432174)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 930601859 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -1088728*f + 1088731*f - 2*g, 2*f - 2*g - 16 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -433*k**4 + 4 - 1 + 3*k + 0 - 6*k + 450*k**4 as h*k**4 + m*k**3 + q*k**2 + i + t*k and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80678821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*f**4*n**2 - 2*f**3*n**2 - 824*n**2 wrt f?\nAnswer: -36*f**3*n**2 - 6*f**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150309 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -512 + -106809?\nAnswer: -107321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + -117 + 118 + -1 - 32\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2464 divided by 5\nAnswer: 2464\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1433949.\nAnswer: -5735796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.252 + 82.252. Sort -4, 2, -0.4, n in increasing order.\nAnswer: -4, -0.4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3507*a**3 - 1333*a**3 - 7793*a**3 - 9806*a**3.\nAnswer: -22439*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*j - 5*j. Solve -2*c = n - 5, 3*n + j*c + 5 = -c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-23 + 28)*(-11)\/((-440)\/24). Factor -2 + 1\/2*g**4 - 1\/2*g**2 + 1\/2*g**5 + 4*g - 5\/2*g**b.\nAnswer: (g - 1)**3*(g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25311 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from xwllxlwggl.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29.7 in -1, 1\/2, 911?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 37 = -5*m, -3*m = 2*m - 3*s - 43. Suppose 24 + m = 8*a. Let q(n) = -n**2 + 6*n - 5. What is q(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4685?\nAnswer: 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65.99999853 - 66. What is c rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 9211043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 131 + -4?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/(-3) - (3 - 5). Let m be i\/(-33) + (-80)\/(-6). Let f be 21\/m + 5 + 2\/(-4). Calculate the greatest common factor of 66 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -18385*z. Let s(h) = 28*h**2. What is i(s(m))?\nAnswer: -514780*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(105\/(-56)) + 5. Let m(t) = t + 1. Let g(a) be the second derivative of a**3\/6 + a**2\/2 + a. Calculate v*m(l) + 4*g(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/12))**(1\/2)*q**16\/q**4 assuming q is positive.\nAnswer: q**(287\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9849239 to the nearest integer?\nAnswer: 3138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10592 = -9*f - 11258 for f.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90.1 + 90. Which is the nearest to -3? (a) 0.02 (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-1)\/(0 - -1). Let k(i) = 118*i**2 + i. Is k(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66336 (base 7) to base 15\nAnswer: -4de3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 524399 * 1.1.\nAnswer: 576838.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2155.9 + -0.4.\nAnswer: -2156.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m - m)*(-3*m + m + 4*m) + (3*m**2 - 6*m**2 + m**2)*(1 - 2 - 1).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + o - 6. Suppose -16 = -4*l - 4*j, 3*l + 5*j = 4*l + 26. Let g be (0 + l)\/(-1)*5. Suppose g*p - p = 0. Calculate k(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Let v(j) = 242*j**2 - 55*j. Let h(g) = 9*g**2 - 2*g. Let c(w) = 55*h(w) - 2*v(w). Determine c(b(p)).\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/14 and 89\/787766.\nAnswer: 787766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**4 + 7*h**3 - 7*h**3 + (-h - 3*h + h + (-2*h - 2 + 2)*(3 - 2 - 2))*(-2*h**3 + 4*h**3 - 8*h**3) to n*h**2 + r*h**4 + p*h + t*h**3 + l and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 18.\nAnswer: -4, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oiz when three letters picked without replacement from zozzzoiziozz.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1383720 divided by 44\nAnswer: -345930\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5847?\nAnswer: 3, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3 + 454*p**2 + 0*p**3 - 451*p**2 + 89*p wrt p.\nAnswer: -6*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*a + 2*x - 450, 0 = 3*a - 4*x - 503. Let w = a + -92. List the prime factors of w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 8*d + 1. Suppose 5*k = -4*m + 2 - 13, 4*k + 12 = 0. What is the units digit of o(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920\/(-84) + (-1067)\/(-97)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1098*z - 1083*z - 215 + 35 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1 = 9. Suppose 0*q - h*j = -3*q + 43, 2*q - 27 = 3*j. Solve -5*u + 0 - q = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17646093*v**5 + 4531953*v.\nAnswer: 352921860*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*r**2*s**3 - 2*r**2*s**2 - 1408*r*s**3 - 2*r*s**2 wrt r?\nAnswer: -98*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/5 - 4\/10. Let p(g) = 4*g - 2. Let f be p(1). Suppose -k + f*k = s. Solve i + k = 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-15))\/(1\/12). Let i = 8 - q. Let o(d) = -1 - i*d + 1 - d**2 + 2*d. Give o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1198, 2863, 4530, 6199?\nAnswer: 7870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4999*j**3*p**4 - 5*j**3 + 1315*j*p wrt p.\nAnswer: 59988*j**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2 - 2)*(2*c**3 + 0*c**3 - 4*c**3).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(-7 - 5 - 2) + (0 - 3 + 4)*(3 + 1 - 3))*(2*m**5 + 0*m**5 - m**5).\nAnswer: 29*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 30 + 75 = 101*t - 102*t, -18*t + 239*i - 242*i - 2055 = 0 for t.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 641 - 641 - 78*j**2 + ((-14*j**2 - 6*j**2 - 17*j**2)*(-6 + 0 + 3) + j**2 + 2*j**2 - 4*j**2)*(5 - 1 - 3) in the form v + i*j**2 + p*j and give i.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23081 is divided by 2093.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2. Let j = -16 - -17. Let o be (5\/(-15))\/(j\/(-18)). Let s(l) = -3*l - 6 - o + 12. Determine y(s(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/360)\/((-36)\/(-135)). Which is the nearest to 5? (a) 5 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 9) to base 7\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 22*c**2 + 602*c + 252. Give n(38).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 143 = 2*z - 103, -5*f = z - 611. Let x = f + -120. Solve 0 = -r - 4*j - 3, -3*j - 6 = 2*r + x*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2781*n**4 - 3*n + 1049 wrt n.\nAnswer: 11124*n**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 4*y, -2*y - 4*t = 41 + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 1250 + 1250.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-76 - -85)\/(2\/(-68)). What is the units digit of (m\/(-10))\/(12\/200)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 960 = -4*p, 19*l = 14*l + 2*p + 1179. Suppose 5*f - l = -27. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 10 + (-3 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j. Let b(w) be the third derivative of -w**5\/20 + 10*w**2. Determine f(b(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/42)\/(2\/((-13)\/(91\/(-70)))).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*r + j - 23, 5*j = -5*r + 25. Let m(l) = l**2 + 9*l - 2. Let a(o) = 2*o**2 + 19*o - 4. Let q(h) = r*m(h) - 4*a(h). What is q(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**6\/72 + 7*g**5\/120 - 2*g**3 - 18*g. Let u(i) be the second derivative of x(i). Find the second derivative of u(q) wrt q.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**2 - 18*p - 41. What are the prime factors of y(-6)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 44.471 and 376.\nAnswer: 420.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:06 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 547775 times -2\nAnswer: -1095550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -207*o**6\/10 - 135*o**4\/4 - o**3\/3 + o - 156. What is the third derivative of c(f) wrt f?\nAnswer: -14904*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/9 and -131\/96138.\nAnswer: 96138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25, 1\/6, -3\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-16 - (-6 + (-49 - -4)))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11333 - 1?\nAnswer: -12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1189\/1584?\nAnswer: 1189\/1584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 5*s - 1. Let j be d(-2). Suppose -4*p - 15 - j = 0. Which is the third biggest value? (a) -3\/2 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*x. Let i be -3*4\/(3 - 7). What is the second biggest value in -3, x, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 25927 = 6*g + 3*i, 0 = -4*i. What are the prime factors of g?\nAnswer: 11, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55583 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 25.8. Let g = 52.41 + -52. Let y = g - 0.11. Which is the nearest to -4? (a) p (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 9*f**2 + 6*f - 5. What is the units digit of b(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2459*a - 786. Is z(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 27*f**2 + f + 2. What are the prime factors of c(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8195100 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*i - 4 = -20, 0 = -4*i - 16. Let r(h) = -h + 18 + 16 + 16 - 56. Let x be r(g). Solve 2*y - 5 = -x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 41. Let a be h(-7). Let l be 38000\/a*(-185 - 3). Round l to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 4, -2, -4.\nAnswer: -4, -2, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q + 44*q - 1449 = 0 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7.2, -0.7, 91?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 7\/17, 33\/4, 2, -2 in decreasing order.\nAnswer: 33\/4, 2, 7\/17, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 0.05, 0.5, 3\/62, 5.99 in ascending order.\nAnswer: -0.07, 3\/62, 0.05, 0.5, 5.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - j)*(715*j + 6237*j + 8228*j + 39*j - 2398*j) to z*j**2 + b*j + f and give z.\nAnswer: -12821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00214 - -88.16932283?\nAnswer: 88.16718283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*w**2 - 2*w + 87*w**2 + w + 325 - 65.\nAnswer: 130*w**2 - w + 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*26\/(-4))\/((-196740)\/43720)?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*n + 292*n = 594*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1962 + -1952.15. Sort 1, 5, f in ascending order.\nAnswer: 1, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*l - 251*l - 489*l**2 + 794*l - 276*l.\nAnswer: -489*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 751 + -667. What is the remainder when 333 is divided by u?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -368 - -429. Let x be (0\/(-1))\/(-4 - -2). Suppose -a = -x*y - y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 209*x - 2891. Calculate the lowest common multiple of z(14) and 108.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 6*t + 4*k, 21*t = 26*t - 5*k - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**7\/630 + q**6\/72 - q**5\/180 - 17*q**4\/72 + 2*q**3\/3 - 220*q**2. Factor h(i).\nAnswer: (i - 1)**2*(i + 3)*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uquqqhfqql. Give prob of picking 1 u, 1 q, 1 l, and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u - 4. Let m be p(3). Let o = -23 - m. Is 2134\/6 - o\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 16706*p**2 - 48*p**2 - 19621*p**2 - 1.\nAnswer: -36375*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**6\/1440 + z**5\/96 - z**4\/16 - 56*z**3\/3 - 166*z**2. Let y(b) be the first derivative of p(b). Find n such that y(n) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334017 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/u**(-10)))\/(u\/(u*u*(u**9\/u)\/u)*u)*(u**0*u)**34 assuming u is positive.\nAnswer: u**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 6*p**2 + 6*p - 2. Let c be s(-7). Suppose -2*t - 39 = -c*t. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8247433?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q = -35*q + 186. What is the derivative of 72*n + q*n - 27*n - 56 wrt n?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -7*s + 1053. Suppose 58 = -g + 85. Calculate the highest common factor of s and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335853*d + 137573*d + 82523*d.\nAnswer: 555949*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -815*j**3 - 52169*j**2\/4 - 52196*j - 144.\nAnswer: -(j + 8)**2*(3260*j + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 14*a - 8. Let u be q(10). Calculate the highest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -185532640225*w**4\/3 - 371066141920*w**3\/3 - 1722941*w**2\/3 - 2*w\/3.\nAnswer: -w*(w + 2)*(430735*w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116 + -114. What is the third derivative of -27*z**6 + 2*z**2 + 10*z**g + 2*z**6 wrt z?\nAnswer: -3000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -52 and -1159\/22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2 - 1 - 2*r - 3. Suppose s + m + 1 = 0, s + 5*m + 0*m = 15. What is the lowest common multiple of h(s) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19\/5 - -237\/65. What is the closest to 0.06 in 0.3, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -4, -185 in descending order.\nAnswer: 37, -4, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114189073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 300262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = -13*q + 164. Let h = 34 - q. Let g = 8 + h. Solve -5 = 2*y - g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 2. Let w(c) = -1. Let x(o) = -7 + 1 - 9 - 2*o + 2. Let n be x(-7). Let l(g) = n*r(g) - 2*w(g). Let j(u) = 6*u**2. What is l(j(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10351 - -10389. Put h, -4, 0 in descending order.\nAnswer: h, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68757.49ug in milligrams?\nAnswer: 68.75749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*w - 4784 = 192*w - 140*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 11:00 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 60722.4 kilometers?\nAnswer: 60722400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/910 and -97\/28.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -190, -575, -1466, -3115, -5774, -9695, -15130, -22331?\n\"Answer: -42*y**3 - y**2 - 88*y - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a - a)*(0 - 1 - 3) + (-124 + 156 + 129)*(0 + 0 + 2*a).\nAnswer: 318*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 8:35 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 595 + -599. What is the second smallest value in -1, -2\/3, -0.008, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 881, 1723, 2565, 3407?\n\"Answer: 842*z + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + 2*sqrt(567) - ((sqrt(567) + -1*sqrt(567))*4)**2).\nAnswer: 1 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0857 - 0.2657. Suppose 0 = -3*i - 4 - 26. Let q(y) = y**2 + 11*y + 11. Let u be q(i). Are u and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/6)\/l**6*(l**(-11)*l)\/l**(-3\/11) assuming l is positive.\nAnswer: l**(-1093\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - s + (-3 + 1 + 4)*(-s + 4*s + 3*s))*(-3*s + 4*s + 2*s) + 234*s**2 - 2403 + 2403)*(-1 - 1 + 3).\nAnswer: 267*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -158.9 + 167. Let h = v + 1.3. Round h to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4973 = 4*h - 9047. Is h a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20115 divided by -493.\nAnswer: 20115\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0190572 rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -283*t**2 - 4*t - 10511?\nAnswer: -566*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13404591 rounded to the nearest one hundred thousand?\nAnswer: -13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 7 - (-3 - -5). Let i be (-1)\/z + (-65)\/(-4). Suppose 3*c + 16 = p - c, 4*c = -4*p - i. Is p < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - (-4 - -12)\/2. Let b be 1 + 594 + -3 - g. Suppose -s + 4*v + b = -v, 5*v = -4*s + 2277. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*b + 29*b + 30*b - 49*b)*(-1 - 2 + 4) in the form r*b + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 20863100 to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 399 = 4*x + 1439, 5*x + 2*k + 1272 = 0. Let b = x - -485. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (11 - 11 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308085 is divided by 907?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145 - -163. Let k be 18\/(-36) + v\/4. Solve 0 = -k*i + 5*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367193, -367192, -367191, -367190, -367189?\nAnswer: -367188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*o = -156614, 7*b + 4*o - 391512 = 2*b. Suppose j - 4*n = 2*j + b, -3*n - 78303 = j. Round j to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47 - -8?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 12, j: 1}. Give prob of sequence pp.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39, -0.45, 2\/2517?\nAnswer: 2\/2517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10341792 and 864.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*s - 59*s + 32. Let m be 3\/s - 9\/18. Which is the closest to m? (a) -21 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 7*c**2 - 68*c + 51. Is 3 a factor of a(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 33c1aa?\nAnswer: -33c1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 2:13 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9502.\nAnswer: 2, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 2\/7 (c) 118 (d) -12 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + j - 3*j + 42 - 118.\nAnswer: -2*j - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 - (17 + (9 - (12 - 3)) + -29)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l - 684 = -3*f, -l = -4*f - 213. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1359 - -16041. Round a to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/70*(-7)\/(-2)*5\/(4980\/24)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a factor of 30539684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 34 = -34. Let j be (9\/(-2))\/((-1)\/6) - k. Does 12 divide (-6)\/j + (-4)\/(108\/(-1437))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-464)\/(-1276))\/((-104)\/(-44)*1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51951699 to the power of 1\/3, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**2 + s. Suppose 3*w - 3*o = 54, 0 = -5*w - 5*o - 15 + 155. Let k = 25 - w. What is the tens digit of f(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 0 + 7\/(-9). Let w be 19\/44 - (-9)\/(495\/(-10)). Which is the closest to -1\/3? (a) 0.5 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -20, -5*r - 28 = -4*m - 4*r. Let a = 122 - 120. Suppose -5*n = -5*u - 8680, m*u + 8677 = 5*n + a*u. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-2) - (-60)\/40. Let y(f) be the third derivative of 0 + 0*f - 4*f**2 + 0*f**3 + 1\/8*f**p - 1\/60*f**5. Find the second derivative of y(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1227011 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.247 + -0.267. Let d = m + 0.02. Let x = 11 + -10. Which is the closest to x? (a) d (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 13 + 19. Let j(w) = 668*w - 5. Let f be j(4). Calculate the common denominator of -63\/10 and f\/270 + q\/9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222485 at least 2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0454483 micrometers to centimeters.\nAnswer: 0.00000454483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*(3 - 7). Solve 5*w = 11 - c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/12 + l**3\/2 + 3*l**2\/2 + 2*l. Let j be b(-3). Suppose -j*m = 2*m - 75. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**7\/840 + f**6\/360 + f**5\/60 - f**3 - 2. Let c(g) be the third derivative of t(g). Is 5 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113*q**5 + 12*q**2 - q + 5 wrt q?\nAnswer: -6780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfhxcxacaacccxxchca. Give prob of picking 2 x and 2 h.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - 12*a**2 - 4*a - 10. Let j(b) be the third derivative of 0*b**4 + 0 - 1\/6*b**3 - 1\/60*b**5 - 9*b**2 + 13*b. Determine -10*j(g) + u(g).\nAnswer: -2*g**3 - 2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 51 (b) -3\/8 (c) -3 (d) 2\/3 (e) 54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55669\/6 - -1077407\/102. Let u = h + -1285. Which is the third biggest value? (a) 3 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**3\/6 + 3*j**2\/2 + 2*j. Let g(z) = -3*z - 10. Let h = 1737 + -1735. What is h*g(s) + 7*v(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 k, and 1 z when four letters picked without replacement from {z: 1, h: 3, n: 7, o: 2, x: 2, k: 3}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l - 3, -y = -l - 1. Find the second derivative of -5*w - 3*w**5 + 4*w**5 - 3*w**4 + 3*w**y wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35141.05 rounded to the nearest ten?\nAnswer: -35140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002598974 rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 0.23 (c) -22\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 873 and 2637.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r - 54. Is r < 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8130921351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1034280 and 4420.\nAnswer: 1034280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3827467880 rounded to the nearest one million?\nAnswer: -3827000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*j - 6*j + a, 5*a - 23 = j. Suppose 5*f + 4*g = 45, -54 = -3*f + j*g + g. What is the remainder when 62 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 480\/(-18) - (-4)\/6. What is the tens digit of 255\/11 + b\/143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f = 30. Let r = f + -3. Solve r*m + 15 = -0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 0, -5, 3, -11438, 4, 1 in ascending order.\nAnswer: -11438, -5, 0, 1, 3, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 + 40*p**2 + 32*p + 94. What is the remainder when l(-19) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/(-36) + 19607\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -234 + 238. What is the smallest common multiple of v and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 103*p**4\/4 - 401*p**3\/3 - 207. What is the third derivative of m(l) wrt l?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*z + 522 = -24*z. Let q(r) be the first derivative of -1\/24*r**6 + 21 + 1\/2*r - 1\/10*r**5 + 2\/3*r**z + 7\/8*r**2 + 1\/8*r**4. Let q(l) = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4024, 8705, 16508, 27433?\n\"Answer: 1561*i**2 - 2*i + 2465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 64\/16771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 12:13 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 38. Let w be (-2)\/4 + (-2)\/q. Let d be (-4)\/(-2) + (3 - w). Which is greater: 11\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.47 - -0.408. Let q = 0.072 + h. What is the smallest value in q, -2, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = d - 19, 3*x - 13 = 3*d + 2*d. Suppose -4*r = -x*r. Find the common denominator of -46\/9 and (-91)\/(-105)*(r - -9).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m + 8*m - 4. Let l be (m - 2) + 1 + 5 + 1091. Suppose -l = -7*f + 1671. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 1, x: 3, w: 5, u: 2}. Give prob of sequence sxw.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 155\/124 - (-41)\/(-36). What is the nearest to -1\/4 in p, 2\/3, -1\/30, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -2762.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1891428*n**3 - 1891424*n**3 + 3 + 2*n - 11*n**2 - 7 to the form s + t*n**2 + h*n + a*n**3 and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-1)\/((-9)\/15). Suppose 4 = -3*g - s*c, 3*g = -c - 4 + 8. Find the third derivative of 4*w - 4*w - w**2 + g*w**3 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 - 62. Let z = b + -14. Suppose -4*j + 7 = -y, 0 = -5*y + j - 5*j + 37. What is the remainder when z is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-78))\/((-12)\/12816*6)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 11:42 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w = -41*w + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 906 + -495. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/11, 0 in ascending order.\nAnswer: -4, -1\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 6*q + 910*q**2 - 912*q**2 - 16 - 39 in the form y*q**2 + x*q + s and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.01669187 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 548.34385 * -0.2\nAnswer: -109.66877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31 + -175094.4506\nAnswer: -175125.4506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:37 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 132?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(0 - 3*h + 0) + h + 2*h + 0*h + 0*h + 0*h + h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) - 2\/3. Let u be 16\/6 + -2 + 64\/(-60). Let z = 9 - 5. What is the closest to u in z, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(360))\/((sqrt(108)\/sqrt(3))\/sqrt(6)))\/(sqrt(1200)*-2*-5).\nAnswer: -3*sqrt(5)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 2:20 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7 - 8*w + 3 + 4 - 2. Is 35 a factor of j(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 11:38 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, j: 2, o: 2}. Give prob of sequence jccc.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 129 = 105. Let x be 4\/36*3*c. Suppose -d + 1 + 38 = 0. What is the highest common divisor of d and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/3840 and -157\/26880.\nAnswer: 26880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 16*k**2. Let g be (14 - 9)*(-2 + 1). Let m(y) = -3*y**2 + 5. Let t(c) = c**2 - 3. Let z(i) = g*t(i) - 3*m(i). What is o(z(j))?\nAnswer: 256*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20806, -20807, -20810, -20815, -20822?\nAnswer: -20831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -9\/2, -385, -5, 0.4, 6, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 64 + 290 = 0. What are the prime factors of n?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2143862?\nAnswer: 2, 7, 153133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -160709, -160780, -160851, -160922, -160993?\n\"Answer: -71*y - 160638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 2*b**2 + 90*b + 86. Let a be f(-10). Let p be -33 + 4*(-1)\/(-2). Let s = 17 + p. Do s and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295.7157 millilitres to litres.\nAnswer: 0.2957157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 4*a + 6 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6033.9 (b) 1 (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/3))**(9\/4)\/(o**(-11)*o\/o**(2\/3)) assuming o is positive.\nAnswer: o**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {y: 1, n: 2, j: 1, w: 2, g: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}